News and updates, March 2008

Since June 16, 2000

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News and updates, March 2008	2008-04-02(Wed) 23:05

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News and updates, March 2008

Mar 31, 2008 (3rd): By Jo Yeong Uk / GMP-ECM, Msieve
(14·10¹⁷⁴+13)/9 = 1(5)₁₇₃7_<175> = 3² · 73 · 1693 · 93923 · 1821722621_<10> · 1002239634413_<13> · 403374339915168794569779581_<27> · C116
C116 = P32 · P42 · P43
P32 = 31629929246645939988995179923731_<32>
P42 = 169880476199414315120627039721035669406193_<42>
P43 = 3762594880955972138233267550313660219155021_<43>

Mon Mar 31 01:13:54 2008 Mon Mar 31 01:13:54 2008 Mon Mar 31 01:13:54 2008 Msieve v. 1.32 Mon Mar 31 01:13:54 2008 random seeds: 94f519b9 93265061 Mon Mar 31 01:13:54 2008 factoring 639191410122279163148017701746752433185828061621198481956163067234502766843284445053 (84 digits) Mon Mar 31 01:13:55 2008 no P-1/P+1/ECM available, skipping Mon Mar 31 01:13:55 2008 commencing quadratic sieve (84-digit input) Mon Mar 31 01:13:55 2008 using multiplier of 53 Mon Mar 31 01:13:55 2008 using 32kb Intel Core sieve core Mon Mar 31 01:13:55 2008 sieve interval: 12 blocks of size 32768 Mon Mar 31 01:13:55 2008 processing polynomials in batches of 17 Mon Mar 31 01:13:55 2008 using a sieve bound of 1406651 (53824 primes) Mon Mar 31 01:13:55 2008 using large prime bound of 119565335 (26 bits) Mon Mar 31 01:13:55 2008 using double large prime bound of 346488982123175 (41-49 bits) Mon Mar 31 01:13:55 2008 using trial factoring cutoff of 49 bits Mon Mar 31 01:13:55 2008 polynomial 'A' values have 11 factors Mon Mar 31 01:38:27 2008 54052 relations (16129 full + 37923 combined from 570254 partial), need 53920 Mon Mar 31 01:38:27 2008 begin with 586383 relations Mon Mar 31 01:38:28 2008 reduce to 126153 relations in 10 passes Mon Mar 31 01:38:28 2008 attempting to read 126153 relations Mon Mar 31 01:38:28 2008 recovered 126153 relations Mon Mar 31 01:38:28 2008 recovered 103827 polynomials Mon Mar 31 01:38:29 2008 attempting to build 54052 cycles Mon Mar 31 01:38:29 2008 found 54052 cycles in 5 passes Mon Mar 31 01:38:29 2008 distribution of cycle lengths: Mon Mar 31 01:38:29 2008 length 1 : 16129 Mon Mar 31 01:38:29 2008 length 2 : 11039 Mon Mar 31 01:38:29 2008 length 3 : 9492 Mon Mar 31 01:38:29 2008 length 4 : 6896 Mon Mar 31 01:38:29 2008 length 5 : 4448 Mon Mar 31 01:38:29 2008 length 6 : 2780 Mon Mar 31 01:38:29 2008 length 7 : 1585 Mon Mar 31 01:38:29 2008 length 9+: 1683 Mon Mar 31 01:38:29 2008 largest cycle: 17 relations Mon Mar 31 01:38:29 2008 matrix is 53824 x 54052 with weight 2770048 (avg 51.25/col) Mon Mar 31 01:38:29 2008 filtering completed in 3 passes Mon Mar 31 01:38:29 2008 matrix is 48951 x 49015 with weight 2526076 (avg 51.54/col) Mon Mar 31 01:38:30 2008 saving the first 48 matrix rows for later Mon Mar 31 01:38:30 2008 matrix is 48903 x 49015 with weight 1850677 (avg 37.76/col) Mon Mar 31 01:38:30 2008 matrix includes 64 packed rows Mon Mar 31 01:38:30 2008 commencing Lanczos iteration Mon Mar 31 01:39:09 2008 lanczos halted after 774 iterations (dim = 48897) Mon Mar 31 01:39:09 2008 recovered 13 nontrivial dependencies Mon Mar 31 01:39:09 2008 prp42 factor: 169880476199414315120627039721035669406193 Mon Mar 31 01:39:09 2008 prp43 factor: 3762594880955972138233267550313660219155021 Mon Mar 31 01:39:09 2008 elapsed time 00:25:15
Mar 31, 2008 (2nd): By Robert Backstrom / GGNFS, Msieve, GMP-ECM
(14·10¹⁵⁰+13)/9 = 1(5)₁₄₉7_<151> = 3 · 73 · 197 · 557 · 176419 · 311807 · C133
C133 = P47 · P86
P47 = 14358513758759727537788034211482912833199697379_<47>
P86 = 81955722749024612832935938121912440352553752416715091318119876776484248323691661939801_<86>

Number: n N=1176762372700967503894089274669101300884685882156992693160611125133501836249059891526266152790525198162083125242864944859765315481579 ( 133 digits) SNFS difficulty: 151 digits. Divisors found: r1=14358513758759727537788034211482912833199697379 (pp47) r2=81955722749024612832935938121912440352553752416715091318119876776484248323691661939801 (pp86) Version: GGNFS-0.77.1-20051202-athlon Total time: 19.00 hours. Scaled time: 27.51 units (timescale=1.448). Factorization parameters were as follows: name: KA_1_5_149_7 n: 1176762372700967503894089274669101300884685882156992693160611125133501836249059891526266152790525198162083125242864944859765315481579 skew: 0.99 deg: 5 c5: 14 c0: 13 m: 1000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 900001) Primes: RFBsize:183072, AFBsize:182921, largePrimes:6875726 encountered Relations: rels:6448717, finalFF:540389 Max relations in full relation-set: 28 Initial matrix: 366059 x 540389 with sparse part having weight 38593507. Pruned matrix : 232412 x 234306 with weight 19896749. Total sieving time: 17.18 hours. Total relation processing time: 0.17 hours. Matrix solve time: 1.60 hours. Total square root time: 0.05 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 19.00 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
(14·10¹⁵⁹+13)/9 = 1(5)₁₅₈7_<160> = 3 · 28901 · 517487 · C149
C149 = P63 · P86
P63 = 554744215891826596967898958649652091064445903153743400082444519_<63>
P86 = 62497000567154822830083056990318365077569268883257990021576401794532332846554110732723_<86>

Number: n N=34669849575217344310845040652106352293609204790812820723875869971786291483583767823534769101797762193083626549678947507787187663376379745032085295237 ( 149 digits) SNFS difficulty: 160 digits. Divisors found: r1=554744215891826596967898958649652091064445903153743400082444519 (pp63) r2=62497000567154822830083056990318365077569268883257990021576401794532332846554110732723 (pp86) Version: GGNFS-0.77.1-20051202-athlon Total time: 29.54 hours. Scaled time: 53.85 units (timescale=1.823). Factorization parameters were as follows: name: KA_1_5_158_7 n: 34669849575217344310845040652106352293609204790812820723875869971786291483583767823534769101797762193083626549678947507787187663376379745032085295237 skew: 1.56 deg: 5 c5: 7 c0: 65 m: 100000000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1900001) Primes: RFBsize:203362, AFBsize:203982, largePrimes:7130306 encountered Relations: rels:6561429, finalFF:456380 Max relations in full relation-set: 48 Initial matrix: 407409 x 456380 with sparse part having weight 44465696. Pruned matrix : 375407 x 377508 with weight 31102632. Total sieving time: 27.88 hours. Total relation processing time: 0.17 hours. Matrix solve time: 1.43 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 29.54 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+
(14·10¹⁶⁰+13)/9 = 1(5)₁₅₉7_<161> = 61 · 10139 · 17681143 · C148
C148 = P45 · P103
P45 = 176720868675475223470096867570916437052715191_<45>
P103 = 8049379325259462249231277994447239129423049602136274705815379461742465805843495476803214658460885605691_<103>

Number: n N=1422493306658262792422596582282164491360765077603258821754623045986835929330369940044454657354844441330750682548671902495714714097457993700151751981 ( 148 digits) SNFS difficulty: 161 digits. Divisors found: Mon Mar 31 18:59:06 2008 prp45 factor: 176720868675475223470096867570916437052715191 Mon Mar 31 18:59:06 2008 prp103 factor: 8049379325259462249231277994447239129423049602136274705815379461742465805843495476803214658460885605691 Mon Mar 31 18:59:06 2008 elapsed time 00:50:23 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 30.71 hours. Scaled time: 56.16 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_5_159_7 n: 1422493306658262792422596582282164491360765077603258821754623045986835929330369940044454657354844441330750682548671902495714714097457993700151751981 skew: 0.99 deg: 5 c5: 14 c0: 13 m: 100000000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2100277) Primes: RFBsize:203362, AFBsize:202952, largePrimes:7188501 encountered Relations: rels:6611896, finalFF:448791 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 30.53 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 30.71 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+
(14·10¹⁶⁵-23)/9 = 1(5)₁₆₄3_<166> = 1081741 · 348427632923_<12> · C148
C148 = P39 · P109
P39 = 535728913589613419728258074511925624737_<39>
P109 = 7703792187315390144299929098071704967894750175677556891822468858120439691344477047932722475841300620157500383_<109>
Mar 31, 2008: By matsui / GGNFS
3·10¹⁷⁰-7 = 2(9)₁₆₉3_<171> = 571 · 19364771 · C161
C161 = P46 · P115
P46 = 6500447580664317282363738571189216214014916119_<46>
P115 = 4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567_<115>

N=27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473 ( 161 digits) SNFS difficulty: 170 digits. Divisors found: r1=6500447580664317282363738571189216214014916119 (pp46) r2=4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567 (pp115) Version: GGNFS-0.77.1-20060513-prescott Total time: 116.18 hours. Scaled time: 98.99 units (timescale=0.852). Factorization parameters were as follows: n: 27131436025458323930591267505429410259473495251355363977569652855593983278520297559202448651242915986462611185758700258775413350613530637554314092810703209994473 m: 10000000000000000000000000000000000 c5: 3 c0: -7 skew: 1.18 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 7100001) Primes: RFBsize:412849, AFBsize:411971, largePrimes:6063193 encountered Relations: rels:6355607, finalFF:953328 Max relations in full relation-set: 28 Initial matrix: 824885 x 953328 with sparse part having weight 55798413. Pruned matrix : 718666 x 722854 with weight 40153351. Total sieving time: 107.72 hours. Total relation processing time: 0.12 hours. Matrix solve time: 8.05 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 116.18 hours.
Mar 30, 2008: By Jo Yeong Uk / GGNFS
(14·10¹⁵⁹-23)/9 = 1(5)₁₅₈3_<160> = 2360483 · 226593244838333_<15> · 118365524892972602913743693_<27> · C113
C113 = P52 · P62
P52 = 2430749538295306145725728141599656700945070902478673_<52>
P62 = 10108163321139107412078827980136296192052017344921530333358643_<62>

Number: 15553_159 N=24570413325872433726374752132935798567129323835655643445013749975132033066760666479547157867771337118765767720739 ( 113 digits) Divisors found: r1=2430749538295306145725728141599656700945070902478673 (pp52) r2=10108163321139107412078827980136296192052017344921530333358643 (pp62) Version: GGNFS-0.77.1-20050930-nocona Total time: 19.76 hours. Scaled time: 36.72 units (timescale=1.858). Factorization parameters were as follows: name: 15553_159 n: 24570413325872433726374752132935798567129323835655643445013749975132033066760666479547157867771337118765767720739 skew: 21469.36 # norm 6.53e+14 c5: 43920 c4: -1018208888 c3: -52825621881145 c2: 440927432653850745 c1: 9501511920375097228487 c0: -45005353793894983316532848 # alpha -4.95 Y1: 684329137657 Y0: -3544462736890836314475 # Murphy_E 7.69e-10 # M 19596200183058475987666150282800979262971493155179127731599566306585118493722288584774250903399448011868899771762 type: gnfs rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 70000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1400000, 2380001) Primes: RFBsize:203362, AFBsize:203762, largePrimes:7714693 encountered Relations: rels:7680934, finalFF:595056 Max relations in full relation-set: 28 Initial matrix: 407203 x 595056 with sparse part having weight 57185218. Pruned matrix : 284718 x 286818 with weight 34334574. Polynomial selection time: 1.06 hours. Total sieving time: 17.98 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.48 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000 total time: 19.76 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.94 BogoMIPS (lpj=2406472) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405149) Calibrating delay using timer specific routine.. 4809.88 BogoMIPS (lpj=2404940) Calibrating delay using timer specific routine.. 4918.32 BogoMIPS (lpj=2459163)
Mar 30, 2008: By Sinkiti Sibata / GGNFS
(13·10¹⁵¹+41)/9 = 1(4)₁₅₀9_<152> = 293 · 313 · 1888625094100861_<16> · C131
C131 = P48 · P84
P48 = 229099467826487034018759913891943497136975872769_<48>
P84 = 364014806146565362202173145442854541103475488915524144605594396975532850513975154329_<84>

Number: 14449_151 N=83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001 ( 131 digits) SNFS difficulty: 152 digits. Divisors found: r1=229099467826487034018759913891943497136975872769 (pp48) r2=364014806146565362202173145442854541103475488915524144605594396975532850513975154329 (pp84) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 44.48 hours. Scaled time: 30.03 units (timescale=0.675). Factorization parameters were as follows: name: 14449_151 n: 83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001 m: 1000000000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2400001) Primes: RFBsize:176302, AFBsize:175999, largePrimes:5654496 encountered Relations: rels:5576359, finalFF:468391 Max relations in full relation-set: 28 Initial matrix: 352368 x 468391 with sparse part having weight 45018980. Pruned matrix : 311238 x 313063 with weight 27264252. Total sieving time: 39.99 hours. Total relation processing time: 0.25 hours. Matrix solve time: 4.07 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 44.48 hours. --------- CPU info (if available) ----------
Mar 29, 2008 (4th): By Jo Yeong Uk / GGNFS
(14·10¹⁴⁵+13)/9 = 1(5)₁₄₄7_<146> = 17 · 351580221955260353971_<21> · C124
C124 = P62 · P62
P62 = 34459589968363234442648214731087099673642284116938602851917257_<62>
P62 = 75526970244148897784211551730428691782297907191091326903221343_<62>

Number: 15557_145 N=2602628426166141865724615540157791063643988462510517691652800254234982874875625259606153468156270329530203198865116992416151 ( 124 digits) SNFS difficulty: 146 digits. Divisors found: r1=34459589968363234442648214731087099673642284116938602851917257 (pp62) r2=75526970244148897784211551730428691782297907191091326903221343 (pp62) Version: GGNFS-0.77.1-20050930-nocona Total time: 10.28 hours. Scaled time: 19.10 units (timescale=1.859). Factorization parameters were as follows: n: 2602628426166141865724615540157791063643988462510517691652800254234982874875625259606153468156270329530203198865116992416151 m: 100000000000000000000000000000 c5: 14 c0: 13 skew: 0.99 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1575001) Primes: RFBsize:135072, AFBsize:134738, largePrimes:3901017 encountered Relations: rels:4097730, finalFF:468243 Max relations in full relation-set: 28 Initial matrix: 269876 x 468243 with sparse part having weight 45370850. Pruned matrix : 206519 x 207932 with weight 19996486. Total sieving time: 10.01 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.18 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000 total time: 10.28 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.94 BogoMIPS (lpj=2406472) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405149) Calibrating delay using timer specific routine.. 4809.88 BogoMIPS (lpj=2404940) Calibrating delay using timer specific routine.. 4918.32 BogoMIPS (lpj=2459163)
(14·10¹⁵⁸+13)/9 = 1(5)₁₅₇7_<159> = 73 · 157 · 995019451 · 208167547279001467_<18> · 4497526422252317257_<19> · C110
C110 = P46 · P65
P46 = 1210558913543004506210542223385032067495000517_<46>
P65 = 12035351112751119719236488570794160664363849366208366689915448269_<65>

Number: 15557_158 N=14569501567160585814901710440786511367556393436049973012285870292289222161159866566292118930478367602441755073 ( 110 digits) Divisors found: r1=1210558913543004506210542223385032067495000517 (pp46) r2=12035351112751119719236488570794160664363849366208366689915448269 (pp65) Version: GGNFS-0.77.1-20050930-nocona Total time: 14.56 hours. Scaled time: 27.06 units (timescale=1.859). Factorization parameters were as follows: name: 15557_158 n: 14569501567160585814901710440786511367556393436049973012285870292289222161159866566292118930478367602441755073 skew: 23466.91 # norm 4.30e+14 c5: 720 c4: -141763316 c3: -19615208060397 c2: 21839928663373314 c1: 1559345164302976886012 c0: -57832564243336272936728 # alpha -4.47 Y1: 336403296409 Y0: -1824843363352675883485 # Murphy_E 1.08e-09 # M 8863611329542007331398799307946931115871032908372565814999860843772890406313742186603022619801783138163488601 type: gnfs rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 60000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1200000, 1920001) Primes: RFBsize:176302, AFBsize:176832, largePrimes:7632173 encountered Relations: rels:7526024, finalFF:533618 Max relations in full relation-set: 28 Initial matrix: 353208 x 533618 with sparse part having weight 52117188. Pruned matrix : 249410 x 251240 with weight 27367049. Polynomial selection time: 0.78 hours. Total sieving time: 13.25 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.32 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000 total time: 14.56 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.94 BogoMIPS (lpj=2406472) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405149) Calibrating delay using timer specific routine.. 4809.88 BogoMIPS (lpj=2404940) Calibrating delay using timer specific routine.. 4918.32 BogoMIPS (lpj=2459163)
Mar 29, 2008 (3rd): By Sinkiti Sibata / GGNFS, Msieve
(14·10¹³⁷+13)/9 = 1(5)₁₃₆7_<138> = 19 · C136
C136 = P41 · P96
P41 = 11764073559559998843123355711907785474687_<41>
P96 = 695943837946402020118337584433250306357753583192431662177817987316706993990755327964810915425369_<96>

Number: 15557_137 N=8187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503 ( 136 digits) SNFS difficulty: 138 digits. Divisors found: r1=11764073559559998843123355711907785474687 (pp41) r2=695943837946402020118337584433250306357753583192431662177817987316706993990755327964810915425369 (pp96) Version: GGNFS-0.77.1-20060513-k8 Total time: 12.38 hours. Scaled time: 24.38 units (timescale=1.969). Factorization parameters were as follows: name: 15557_137 n: 8187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503 m: 1000000000000000000000000000 c5: 1400 c0: 13 skew: 0.39 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1975001) Primes: RFBsize:78498, AFBsize:63883, largePrimes:1650833 encountered Relations: rels:1672542, finalFF:169267 Max relations in full relation-set: 28 Initial matrix: 142448 x 169267 with sparse part having weight 18473523. Pruned matrix : 135850 x 136626 with weight 13522889. Total sieving time: 12.04 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.20 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 12.38 hours. --------- CPU info (if available) ----------
(14·10¹³⁹+13)/9 = 1(5)₁₃₈7_<140> = 1228783 · 7130213 · 28968643363421_<14> · C113
C113 = P32 · P82
P32 = 57299449684752614248272600835231_<32>
P82 = 1069619274128639137021858419038897362426876526582588171608739640247634879294468933_<82>

Number: 15557_139 N=61288595779775571881113368796770804969316105944305619154906190416003544310391843891264168410337157483134381378523 ( 113 digits) SNFS difficulty: 140 digits. Divisors found: r1=57299449684752614248272600835231 (pp32) r2=1069619274128639137021858419038897362426876526582588171608739640247634879294468933 (pp82) Version: GGNFS-0.77.1-20060513-k8 Total time: 10.24 hours. Scaled time: 20.48 units (timescale=1.999). Factorization parameters were as follows: name: 15557_139 n: 61288595779775571881113368796770804969316105944305619154906190416003544310391843891264168410337157483134381378523 m: 10000000000000000000000000000 c5: 7 c0: 65 skew: 1.56 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 1750001) Primes: RFBsize:100021, AFBsize:100618, largePrimes:2719554 encountered Relations: rels:2699900, finalFF:266940 Max relations in full relation-set: 28 Initial matrix: 200704 x 266940 with sparse part having weight 24490485. Pruned matrix : 180448 x 181515 with weight 14444246. Total sieving time: 9.83 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.26 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 10.24 hours. --------- CPU info (if available) ----------
(14·10¹²⁵+13)/9 = 1(5)₁₂₄7_<126> = 29 · 857 · 532964659 · 6612379979563_<13> · C100
C100 = P31 · P70
P31 = 1189183889824656181212523560943_<31>
P70 = 1493487098247526373754498223558905495812451565384158118329898981129999_<70>

Fri Mar 28 23:21:28 2008 Msieve v. 1.33 Fri Mar 28 23:21:28 2008 random seeds: 5386582e d8e5e839 Fri Mar 28 23:21:28 2008 factoring 1776030796896931864902419817154526194496709500799185020793318268673546294348199531369033949482029057 (100 digits) Fri Mar 28 23:21:30 2008 searching for 15-digit factors Fri Mar 28 23:21:32 2008 commencing quadratic sieve (100-digit input) Fri Mar 28 23:21:32 2008 using multiplier of 1 Fri Mar 28 23:21:32 2008 using 64kb Pentium 4 sieve core Fri Mar 28 23:21:32 2008 sieve interval: 18 blocks of size 65536 Fri Mar 28 23:21:32 2008 processing polynomials in batches of 6 Fri Mar 28 23:21:32 2008 using a sieve bound of 2674031 (97647 primes) Fri Mar 28 23:21:32 2008 using large prime bound of 401104650 (28 bits) Fri Mar 28 23:21:32 2008 using double large prime bound of 3061003663568100 (43-52 bits) Fri Mar 28 23:21:32 2008 using trial factoring cutoff of 52 bits Fri Mar 28 23:21:32 2008 polynomial 'A' values have 13 factors Sat Mar 29 20:55:01 2008 97755 relations (22380 full + 75375 combined from 1494977 partial), need 97743 Sat Mar 29 20:55:06 2008 begin with 1517357 relations Sat Mar 29 20:55:08 2008 reduce to 261925 relations in 11 passes Sat Mar 29 20:55:08 2008 attempting to read 261925 relations Sat Mar 29 20:55:18 2008 recovered 261925 relations Sat Mar 29 20:55:18 2008 recovered 254042 polynomials Sat Mar 29 20:55:18 2008 attempting to build 97755 cycles Sat Mar 29 20:55:18 2008 found 97755 cycles in 6 passes Sat Mar 29 20:55:18 2008 distribution of cycle lengths: Sat Mar 29 20:55:18 2008 length 1 : 22380 Sat Mar 29 20:55:18 2008 length 2 : 16289 Sat Mar 29 20:55:18 2008 length 3 : 16175 Sat Mar 29 20:55:18 2008 length 4 : 13411 Sat Mar 29 20:55:18 2008 length 5 : 10254 Sat Mar 29 20:55:18 2008 length 6 : 7237 Sat Mar 29 20:55:18 2008 length 7 : 4951 Sat Mar 29 20:55:18 2008 length 9+: 7058 Sat Mar 29 20:55:18 2008 largest cycle: 20 relations Sat Mar 29 20:55:19 2008 matrix is 97647 x 97755 (25.5 MB) with weight 6299176 (64.44/col) Sat Mar 29 20:55:19 2008 sparse part has weight 6299176 (64.44/col) Sat Mar 29 20:55:21 2008 filtering completed in 3 passes Sat Mar 29 20:55:21 2008 matrix is 94278 x 94342 (24.7 MB) with weight 6109336 (64.76/col) Sat Mar 29 20:55:21 2008 sparse part has weight 6109336 (64.76/col) Sat Mar 29 20:55:22 2008 saving the first 48 matrix rows for later Sat Mar 29 20:55:22 2008 matrix is 94230 x 94342 (13.9 MB) with weight 4602553 (48.79/col) Sat Mar 29 20:55:22 2008 sparse part has weight 3082742 (32.68/col) Sat Mar 29 20:55:22 2008 matrix includes 64 packed rows Sat Mar 29 20:55:22 2008 using block size 21845 for processor cache size 512 kB Sat Mar 29 20:55:23 2008 commencing Lanczos iteration Sat Mar 29 20:55:23 2008 memory use: 14.7 MB Sat Mar 29 20:56:49 2008 lanczos halted after 1491 iterations (dim = 94229) Sat Mar 29 20:56:49 2008 recovered 16 nontrivial dependencies Sat Mar 29 20:56:51 2008 prp31 factor: 1189183889824656181212523560943 Sat Mar 29 20:56:51 2008 prp70 factor: 1493487098247526373754498223558905495812451565384158118329898981129999 Sat Mar 29 20:56:51 2008 elapsed time 21:35:23
Mar 29, 2008 (2nd): By matsui / GGNFS
4·10¹⁷⁰-3 = 3(9)₁₆₉7_<171> = 229 · 73679 · C164
C164 = P43 · P49 · P73
P43 = 1360033104762423088299063931973963977671913_<43>
P49 = 3590519653945782877764230523114444807700131409621_<49>
P73 = 4854829677573519382682020652046055052653649124445093405710647102555118179_<73>

N=23707228529563299218829039529492118265169025723587584073981725638496414074246653917314283943017068434056358364630332296517449616657078080527647043936784438053634167 ( 164 digits) SNFS difficulty: 170 digits. Divisors found: r1=1360033104762423088299063931973963977671913 (pp43) r2=3590519653945782877764230523114444807700131409621 (pp49) r3=4854829677573519382682020652046055052653649124445093405710647102555118179 (pp73) Version: GGNFS-0.77.1-20060513-prescott Total time: 130.67 hours. Scaled time: 146.09 units (timescale=1.118). Factorization parameters were as follows: n: 23707228529563299218829039529492118265169025723587584073981725638496414074246653917314283943017068434056358364630332296517449616657078080527647043936784438053634167 m: 10000000000000000000000000000000000 c5: 4 c0: -3 skew: 0.94 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 7100001) Primes: RFBsize:412849, AFBsize:412766, largePrimes:6063551 encountered Relations: rels:6355124, finalFF:952227 Max relations in full relation-set: 28 Initial matrix: 825682 x 952227 with sparse part having weight 57621045. Pruned matrix : 720478 x 724670 with weight 41769639. Total sieving time: 120.70 hours. Total relation processing time: 0.14 hours. Matrix solve time: 9.54 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 130.67 hours.
Mar 29, 2008: By Robert Backstrom / GMP-ECM, GGNFS, Msieve
(14·10¹⁵³+13)/9 = 1(5)₁₅₂7_<154> = 3 · 29 · 1427 · 1587981827_<10> · C139
C139 = P39 · P101
P39 = 460973496523002946310180089475028301423_<39>
P101 = 17116730623418638738910176920615522214699754984748042446821276475378442415835456701206067027207625333_<101>
(7·10¹⁶⁸-61)/9 = (7)₁₆₇1_<168> = 3² · 17 · 23 · 47 · C163
C163 = P49 · P114
P49 = 9004468253267221996176999390369665257953454115627_<49>
P114 = 522252267863776517383648685895265872874245070718524906770519125645126330038946823665531693031823946346738290819761_<114>

Number: n N=4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147 ( 163 digits) SNFS difficulty: 168 digits. Divisors found: Sat Mar 29 12:07:22 2008 prp49 factor: 9004468253267221996176999390369665257953454115627 Sat Mar 29 12:07:22 2008 prp114 factor: 522252267863776517383648685895265872874245070718524906770519125645126330038946823665531693031823946346738290819761 Sat Mar 29 12:07:22 2008 elapsed time 01:18:21 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 53.48 hours. Scaled time: 44.81 units (timescale=0.838). Factorization parameters were as follows: name: KA_7_167_1 n: 4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147 type: snfs deg: 5 c5: 7000 c0: -61 skew: 0.39 m: 1000000000000000000000000000000000 rlim: 3500000 alim: 3500000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 5900423) Primes: RFBsize:250150, AFBsize:250007, largePrimes:5947814 encountered Relations: rels:5883970, finalFF:552579 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 53.23 hours. Total relation processing time: 0.24 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,48,48,2.5,2.5,100000 total time: 53.48 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
Mar 28, 2008 (4th): By Robert Backstrom / GGNFS, Msieve
(13·10¹⁵⁵+41)/9 = 1(4)₁₅₄9_<156> = 89 · 13367 · C150
C150 = P42 · P108
P42 = 454914555226406458961012387411117835014677_<42>
P108 = 266899067010205212556633241991383306589388963910132941966984708011973578478898221181824191297352863936423299_<108>

Number: n N=121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423 ( 150 digits) SNFS difficulty: 156 digits. Divisors found: Fri Mar 28 14:54:39 2008 prp42 factor: 454914555226406458961012387411117835014677 Fri Mar 28 14:54:39 2008 prp108 factor: 266899067010205212556633241991383306589388963910132941966984708011973578478898221181824191297352863936423299 Fri Mar 28 14:54:39 2008 elapsed time 00:26:12 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-k8 Total time: 19.04 hours. Scaled time: 15.96 units (timescale=0.838). Factorization parameters were as follows: name: KA_1_4_154_9 n: 121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423 type: snfs deg: 5 c5: 13 c0: 41 skew: 1.26 m: 10000000000000000000000000000000 rlim: 2400000 alim: 2400000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1200001) Primes: RFBsize:176302, AFBsize:175494, largePrimes:5415952 encountered Relations: rels:5271524, finalFF:461511 Max relations in full relation-set: 28 Initial matrix: 351863 x 461511 with sparse part having weight 38322948. Pruned matrix : 274203 x 276026 with weight 22148987. Total sieving time: 18.13 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.77 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.5,2.5,100000 total time: 19.04 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
(13·10¹⁵⁷+41)/9 = 1(4)₁₅₆9_<158> = 23 · 199 · C154
C154 = P51 · P103
P51 = 554967349862577519760631952619203509296695751946839_<51>
P103 = 5686597597373431858875045737803935242817252645892081260193915454685731257129233895079087021649744633383_<103>

Number: n N=3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337 ( 154 digits) SNFS difficulty: 158 digits. Divisors found: Fri Mar 28 15:13:48 2008 prp51 factor: 554967349862577519760631952619203509296695751946839 Fri Mar 28 15:13:48 2008 prp103 factor: 5686597597373431858875045737803935242817252645892081260193915454685731257129233895079087021649744633383 Fri Mar 28 15:13:48 2008 elapsed time 00:45:02 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-k8 Total time: 28.18 hours. Scaled time: 23.73 units (timescale=0.842). Factorization parameters were as follows: name: KA_1_4_156_9 n: 3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337 type: snfs deg: 5 c5: 1300 c0: 41 skew: 0.50 m: 10000000000000000000000000000000 rlim: 2800000 alim: 2800000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1700001) Primes: RFBsize:203362, AFBsize:203738, largePrimes:5556469 encountered Relations: rels:5457604, finalFF:504339 Max relations in full relation-set: 28 Initial matrix: 407167 x 504339 with sparse part having weight 41011748. Pruned matrix : 336332 x 338431 with weight 25630672. Total sieving time: 26.88 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.14 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,48,48,2.5,2.5,100000 total time: 28.18 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
(13·10¹⁸⁴+23)/9 = 1(4)₁₈₃7_<185> = C185
C185 = P45 · P66 · P75
P45 = 130313823514075667946558550056804849533881379_<45>
P66 = 134178502432547024473255568544090457894328704524614680930133832431_<66>
P75 = 826090095056379329198269351883150800396104341540990784443107295090242772603_<75>

Number: n N=14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 ( 185 digits) SNFS difficulty: 186 digits. Divisors found: r1=130313823514075667946558550056804849533881379 (pp45) r2=134178502432547024473255568544090457894328704524614680930133832431 (pp66) r3=826090095056379329198269351883150800396104341540990784443107295090242772603 (pp75) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 360.94 hours. Scaled time: 474.28 units (timescale=1.314). Factorization parameters were as follows: name: KA_1_4_183_7 n: 14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 type: snfs deg: 5 c5: 13 c0: 230 skew: 1.78 m: 10000000000000000000000000000000000000 rlim: 8000000 alim: 8000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 22200001) Primes: RFBsize:539777, AFBsize:538330, largePrimes:6770291 encountered Relations: rels:7309531, finalFF:1208038 Max relations in full relation-set: 28 Initial matrix: 1078172 x 1208038 with sparse part having weight 76505435. Pruned matrix : 964515 x 969969 with weight 57010962. Total sieving time: 339.65 hours. Total relation processing time: 0.54 hours. Matrix solve time: 20.19 hours. Total square root time: 0.57 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,48,48,2.5,2.5,100000 total time: 360.94 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Mar 28, 2008 (3rd): By Tyler Cadigan / GGNFS, Msieve
(25·10¹⁷⁹-1)/3 = 8(3)₁₇₉_<180> = 664507 · C175
C175 = P76 · P99
P76 = 2926458049828320152153838355641986293834526340146035098618125303277291517849_<76>
P99 = 428525717516297107753879753190106264709390407138076594167027664710084445341842935008628078191572231_<99>

Number: 83333_179 N=1254062535584024447196693689206183431225454861022281681507242712768011974792339784732641391788699492004348085623376929563320376359215679192744897094136455046121911933709251119 ( 175 digits) SNFS difficulty: 180 digits. Divisors found: r1=2926458049828320152153838355641986293834526340146035098618125303277291517849 r2=428525717516297107753879753190106264709390407138076594167027664710084445341842935008628078191572231 Version: Total time: 248.38 hours. Scaled time: 641.31 units (timescale=2.582). Factorization parameters were as follows: n: 1254062535584024447196693689206183431225454861022281681507242712768011974792339784732641391788699492004348085623376929563320376359215679192744897094136455046121911933709251119 m: 1000000000000000000000000000000000000 c5: 5 c0: -2 skew: 0.83 type: snfs Y0: -1000000000000000000000000000000000000 Y1: 1Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 7900001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 826206 x 826454 Total sieving time: 248.38 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 248.38 hours. --------- CPU info (if available) ----------
Mar 28, 2008 (2nd): By Sinkiti Sibata / Msieve, GGNFS
(14·10¹⁴²+13)/9 = 1(5)₁₄₁7_<143> = 47 · 67 · 73 · 1553 · 40771 · 223602356241339263_<18> · 2483578528016102363689_<22> · C91
C91 = P34 · P57
P34 = 7467290566568150971516456465404349_<34>
P57 = 257721032809974451455373522337667266256407960889221270449_<57>

Fri Mar 28 07:33:40 2008 Msieve v. 1.33 Fri Mar 28 07:33:40 2008 random seeds: c299d4da fc74c7f6 Fri Mar 28 07:33:40 2008 factoring 1924477837108123147224947210103213537481957824666511682922405032895670732495495234269782701 (91 digits) Fri Mar 28 07:33:42 2008 searching for 15-digit factors Fri Mar 28 07:33:43 2008 commencing quadratic sieve (91-digit input) Fri Mar 28 07:33:44 2008 using multiplier of 1 Fri Mar 28 07:33:44 2008 using 64kb Pentium 4 sieve core Fri Mar 28 07:33:44 2008 sieve interval: 18 blocks of size 65536 Fri Mar 28 07:33:44 2008 processing polynomials in batches of 6 Fri Mar 28 07:33:44 2008 using a sieve bound of 1648187 (62353 primes) Fri Mar 28 07:33:44 2008 using large prime bound of 145040456 (27 bits) Fri Mar 28 07:33:44 2008 using double large prime bound of 490546837774928 (42-49 bits) Fri Mar 28 07:33:44 2008 using trial factoring cutoff of 49 bits Fri Mar 28 07:33:44 2008 polynomial 'A' values have 12 factors Fri Mar 28 10:12:04 2008 62951 relations (16059 full + 46892 combined from 705930 partial), need 62449 Fri Mar 28 10:12:06 2008 begin with 721989 relations Fri Mar 28 10:12:07 2008 reduce to 156795 relations in 10 passes Fri Mar 28 10:12:07 2008 attempting to read 156795 relations Fri Mar 28 10:12:11 2008 recovered 156795 relations Fri Mar 28 10:12:11 2008 recovered 137251 polynomials Fri Mar 28 10:12:12 2008 attempting to build 62951 cycles Fri Mar 28 10:12:12 2008 found 62951 cycles in 5 passes Fri Mar 28 10:12:12 2008 distribution of cycle lengths: Fri Mar 28 10:12:12 2008 length 1 : 16059 Fri Mar 28 10:12:12 2008 length 2 : 11660 Fri Mar 28 10:12:12 2008 length 3 : 10892 Fri Mar 28 10:12:12 2008 length 4 : 8647 Fri Mar 28 10:12:12 2008 length 5 : 6192 Fri Mar 28 10:12:12 2008 length 6 : 3994 Fri Mar 28 10:12:12 2008 length 7 : 2473 Fri Mar 28 10:12:12 2008 length 9+: 3034 Fri Mar 28 10:12:12 2008 largest cycle: 19 relations Fri Mar 28 10:12:12 2008 matrix is 62353 x 62951 (15.5 MB) with weight 3812304 (60.56/col) Fri Mar 28 10:12:12 2008 sparse part has weight 3812304 (60.56/col) Fri Mar 28 10:12:13 2008 filtering completed in 4 passes Fri Mar 28 10:12:13 2008 matrix is 58760 x 58824 (14.5 MB) with weight 3554457 (60.43/col) Fri Mar 28 10:12:13 2008 sparse part has weight 3554457 (60.43/col) Fri Mar 28 10:12:14 2008 saving the first 48 matrix rows for later Fri Mar 28 10:12:14 2008 matrix is 58712 x 58824 (9.1 MB) with weight 2809478 (47.76/col) Fri Mar 28 10:12:14 2008 sparse part has weight 2043760 (34.74/col) Fri Mar 28 10:12:14 2008 matrix includes 64 packed rows Fri Mar 28 10:12:14 2008 using block size 21845 for processor cache size 512 kB Fri Mar 28 10:12:15 2008 commencing Lanczos iteration Fri Mar 28 10:12:15 2008 memory use: 9.0 MB Fri Mar 28 10:12:47 2008 lanczos halted after 929 iterations (dim = 58708) Fri Mar 28 10:12:47 2008 recovered 15 nontrivial dependencies Fri Mar 28 10:12:49 2008 prp34 factor: 7467290566568150971516456465404349 Fri Mar 28 10:12:49 2008 prp57 factor: 257721032809974451455373522337667266256407960889221270449 Fri Mar 28 10:12:49 2008 elapsed time 02:39:09
(14·10¹³⁵+13)/9 = 1(5)₁₃₄7_<136> = 3 · 1381 · 222396359378344723344489169_<27> · C106
C106 = P45 · P61
P45 = 850464992838381187711643030456490530458087993_<45>
P61 = 1985118687022080519125853658451963101859713733308921760886547_<61>

Number: 15557_135 N=1688273949941570375095874217711031864364334175058727202308319719669742426148965973319064328338454215930171 ( 106 digits) SNFS difficulty: 136 digits. Divisors found: r1=850464992838381187711643030456490530458087993 (pp45) r2=1985118687022080519125853658451963101859713733308921760886547 (pp61) Version: GGNFS-0.77.1-20060513-k8 Total time: 8.33 hours. Scaled time: 16.63 units (timescale=1.996). Factorization parameters were as follows: name: 15557_135 n: 1688273949941570375095874217711031864364334175058727202308319719669742426148965973319064328338454215930171 m: 1000000000000000000000000000 c5: 14 c0: 13 skew: 0.99 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1375001) Primes: RFBsize:78498, AFBsize:63758, largePrimes:1552807 encountered Relations: rels:1544617, finalFF:162642 Max relations in full relation-set: 28 Initial matrix: 142322 x 162642 with sparse part having weight 14896086. Pruned matrix : 136528 x 137303 with weight 11093629. Total sieving time: 8.09 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.13 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 8.33 hours. --------- CPU info (if available) ----------
(14·10¹⁴¹+13)/9 = 1(5)₁₄₀7_<142> = 3 · 58771 · 2195681 · 8652793169_<10> · 3248156225927037467732225359_<28> · C93
C93 = P45 · P48
P45 = 183423493947434274718688357884837548361877507_<45>
P48 = 779441909528350662423303508331947392118799809777_<48>

Fri Mar 28 10:32:18 2008 Msieve v. 1.33 Fri Mar 28 10:32:18 2008 random seeds: 272e5fe1 63dbf71a Fri Mar 28 10:32:18 2008 factoring 142967958374750041269888592393394485067234229144975090352486633805456865490049829790174985939 (93 digits) Fri Mar 28 10:32:20 2008 searching for 15-digit factors Fri Mar 28 10:32:21 2008 commencing quadratic sieve (93-digit input) Fri Mar 28 10:32:22 2008 using multiplier of 1 Fri Mar 28 10:32:22 2008 using 64kb Pentium 4 sieve core Fri Mar 28 10:32:22 2008 sieve interval: 18 blocks of size 65536 Fri Mar 28 10:32:22 2008 processing polynomials in batches of 6 Fri Mar 28 10:32:22 2008 using a sieve bound of 1882073 (70588 primes) Fri Mar 28 10:32:22 2008 using large prime bound of 220202541 (27 bits) Fri Mar 28 10:32:22 2008 using double large prime bound of 1040112169045794 (42-50 bits) Fri Mar 28 10:32:22 2008 using trial factoring cutoff of 50 bits Fri Mar 28 10:32:22 2008 polynomial 'A' values have 12 factors Fri Mar 28 14:10:29 2008 70703 relations (18168 full + 52535 combined from 917138 partial), need 70684 Fri Mar 28 14:10:32 2008 begin with 935306 relations Fri Mar 28 14:10:33 2008 reduce to 178180 relations in 11 passes Fri Mar 28 14:10:33 2008 attempting to read 178180 relations Fri Mar 28 14:10:38 2008 recovered 178180 relations Fri Mar 28 14:10:38 2008 recovered 158900 polynomials Fri Mar 28 14:10:38 2008 attempting to build 70703 cycles Fri Mar 28 14:10:38 2008 found 70703 cycles in 5 passes Fri Mar 28 14:10:38 2008 distribution of cycle lengths: Fri Mar 28 14:10:38 2008 length 1 : 18168 Fri Mar 28 14:10:38 2008 length 2 : 12994 Fri Mar 28 14:10:38 2008 length 3 : 12118 Fri Mar 28 14:10:38 2008 length 4 : 9543 Fri Mar 28 14:10:38 2008 length 5 : 6839 Fri Mar 28 14:10:38 2008 length 6 : 4582 Fri Mar 28 14:10:38 2008 length 7 : 2854 Fri Mar 28 14:10:38 2008 length 9+: 3605 Fri Mar 28 14:10:38 2008 largest cycle: 18 relations Fri Mar 28 14:10:39 2008 matrix is 70588 x 70703 (17.5 MB) with weight 4300534 (60.83/col) Fri Mar 28 14:10:39 2008 sparse part has weight 4300534 (60.83/col) Fri Mar 28 14:10:40 2008 filtering completed in 3 passes Fri Mar 28 14:10:40 2008 matrix is 66643 x 66705 (16.6 MB) with weight 4094844 (61.39/col) Fri Mar 28 14:10:40 2008 sparse part has weight 4094844 (61.39/col) Fri Mar 28 14:10:41 2008 saving the first 48 matrix rows for later Fri Mar 28 14:10:41 2008 matrix is 66595 x 66705 (9.7 MB) with weight 3134744 (46.99/col) Fri Mar 28 14:10:41 2008 sparse part has weight 2143080 (32.13/col) Fri Mar 28 14:10:41 2008 matrix includes 64 packed rows Fri Mar 28 14:10:41 2008 using block size 21845 for processor cache size 512 kB Fri Mar 28 14:10:41 2008 commencing Lanczos iteration Fri Mar 28 14:10:41 2008 memory use: 9.9 MB Fri Mar 28 14:11:23 2008 lanczos halted after 1055 iterations (dim = 66592) Fri Mar 28 14:11:23 2008 recovered 16 nontrivial dependencies Fri Mar 28 14:11:24 2008 prp45 factor: 183423493947434274718688357884837548361877507 Fri Mar 28 14:11:24 2008 prp48 factor: 779441909528350662423303508331947392118799809777 Fri Mar 28 14:11:24 2008 elapsed time 03:39:06
(14·10¹³¹+13)/9 = 1(5)₁₃₀7_<132> = 31 · 4337 · 1609599583_<10> · 58700195699_<11> · C107
C107 = P35 · P72
P35 = 56357955441055287971571773968585783_<35>
P72 = 217281014777808196009137828237449697839477601469693193097765221967813121_<72>

Number: 15557_131 N=12245513749034989852895705411736070721553443053147682733202564222569324669871927096396592972496605601458743 ( 107 digits) SNFS difficulty: 132 digits. Divisors found: r1=56357955441055287971571773968585783 (pp35) r2=217281014777808196009137828237449697839477601469693193097765221967813121 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.08 hours. Scaled time: 10.10 units (timescale=1.988). Factorization parameters were as follows: name: 15557_131 n: 12245513749034989852895705411736070721553443053147682733202564222569324669871927096396592972496605601458743 m: 100000000000000000000000000 c5: 140 c0: 13 skew: 0.62 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1050001) Primes: RFBsize:63951, AFBsize:63398, largePrimes:1483814 encountered Relations: rels:1458460, finalFF:144699 Max relations in full relation-set: 28 Initial matrix: 127416 x 144699 with sparse part having weight 11561520. Pruned matrix : 123053 x 123754 with weight 8514307. Total sieving time: 4.88 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.10 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 5.08 hours. --------- CPU info (if available) ----------
(14·10¹²⁷+13)/9 = 1(5)₁₂₆7_<128> = 179 · 1777 · C122
C122 = P41 · P82
P41 = 13425840129506340057442209524427842613367_<41>
P82 = 3642533847136935011456148310820503413649474104862561436305997644166338839113473537_<82>

Number: 15557_127 N=48904077097976174632267538835950225430329679849459278098972769860557010451849220346750865514835925074762107863531076969079 ( 122 digits) SNFS difficulty: 128 digits. Divisors found: r1=13425840129506340057442209524427842613367 (pp41) r2=3642533847136935011456148310820503413649474104862561436305997644166338839113473537 (pp82) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.44 hours. Scaled time: 8.83 units (timescale=1.988). Factorization parameters were as follows: name: 15557_127 n: 48904077097976174632267538835950225430329679849459278098972769860557010451849220346750865514835925074762107863531076969079 m: 10000000000000000000000000 c5: 1400 c0: 13 skew: 0.39 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 950001) Primes: RFBsize:63951, AFBsize:63883, largePrimes:1566066 encountered Relations: rels:1612994, finalFF:215096 Max relations in full relation-set: 28 Initial matrix: 127901 x 215096 with sparse part having weight 15848189. Pruned matrix : 104475 x 105178 with weight 6326007. Total sieving time: 4.30 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.05 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.44 hours. --------- CPU info (if available) ----------
(14·10¹⁵⁵+13)/9 = 1(5)₁₅₄7_<156> = 19 · 1429 · 4003 · 62347 · 177383443 · 28629367194611_<14> · 2853238433322186027101981_<25> · C97
C97 = P43 · P54
P43 = 2306054698995868998921453543665437775116819_<43>
P54 = 687014726607656415295394436693947860736093596616456341_<54>

Fri Mar 28 14:24:16 2008 Msieve v. 1.33 Fri Mar 28 14:24:16 2008 random seeds: 8d254ebd b45fce0d Fri Mar 28 14:24:16 2008 factoring 1584293538572948347292846286312605310049603816960943641183522320318649105786798116802819088299279 (97 digits) Fri Mar 28 14:24:17 2008 searching for 15-digit factors Fri Mar 28 14:24:19 2008 commencing quadratic sieve (97-digit input) Fri Mar 28 14:24:20 2008 using multiplier of 31 Fri Mar 28 14:24:20 2008 using 64kb Pentium 4 sieve core Fri Mar 28 14:24:20 2008 sieve interval: 18 blocks of size 65536 Fri Mar 28 14:24:20 2008 processing polynomials in batches of 6 Fri Mar 28 14:24:20 2008 using a sieve bound of 2334881 (85814 primes) Fri Mar 28 14:24:20 2008 using large prime bound of 350232150 (28 bits) Fri Mar 28 14:24:20 2008 using double large prime bound of 2397953724173250 (43-52 bits) Fri Mar 28 14:24:20 2008 using trial factoring cutoff of 52 bits Fri Mar 28 14:24:20 2008 polynomial 'A' values have 13 factors Fri Mar 28 23:05:04 2008 86008 relations (21231 full + 64777 combined from 1284617 partial), need 85910 Fri Mar 28 23:05:09 2008 begin with 1305848 relations Fri Mar 28 23:05:10 2008 reduce to 223087 relations in 11 passes Fri Mar 28 23:05:10 2008 attempting to read 223087 relations Fri Mar 28 23:05:18 2008 recovered 223087 relations Fri Mar 28 23:05:18 2008 recovered 209473 polynomials Fri Mar 28 23:05:18 2008 attempting to build 86008 cycles Fri Mar 28 23:05:19 2008 found 86008 cycles in 5 passes Fri Mar 28 23:05:19 2008 distribution of cycle lengths: Fri Mar 28 23:05:19 2008 length 1 : 21231 Fri Mar 28 23:05:19 2008 length 2 : 15103 Fri Mar 28 23:05:19 2008 length 3 : 14640 Fri Mar 28 23:05:19 2008 length 4 : 11690 Fri Mar 28 23:05:19 2008 length 5 : 8817 Fri Mar 28 23:05:19 2008 length 6 : 5845 Fri Mar 28 23:05:19 2008 length 7 : 3640 Fri Mar 28 23:05:19 2008 length 9+: 5042 Fri Mar 28 23:05:19 2008 largest cycle: 20 relations Fri Mar 28 23:05:19 2008 matrix is 85814 x 86008 (23.1 MB) with weight 5717670 (66.48/col) Fri Mar 28 23:05:19 2008 sparse part has weight 5717670 (66.48/col) Fri Mar 28 23:05:21 2008 filtering completed in 3 passes Fri Mar 28 23:05:21 2008 matrix is 81869 x 81933 (22.2 MB) with weight 5481881 (66.91/col) Fri Mar 28 23:05:21 2008 sparse part has weight 5481881 (66.91/col) Fri Mar 28 23:05:22 2008 saving the first 48 matrix rows for later Fri Mar 28 23:05:22 2008 matrix is 81821 x 81933 (13.9 MB) with weight 4319361 (52.72/col) Fri Mar 28 23:05:22 2008 sparse part has weight 3151156 (38.46/col) Fri Mar 28 23:05:22 2008 matrix includes 64 packed rows Fri Mar 28 23:05:22 2008 using block size 21845 for processor cache size 512 kB Fri Mar 28 23:05:23 2008 commencing Lanczos iteration Fri Mar 28 23:05:23 2008 memory use: 13.4 MB Fri Mar 28 23:06:30 2008 lanczos halted after 1296 iterations (dim = 81820) Fri Mar 28 23:06:30 2008 recovered 17 nontrivial dependencies Fri Mar 28 23:06:32 2008 prp43 factor: 2306054698995868998921453543665437775116819 Fri Mar 28 23:06:32 2008 prp54 factor: 687014726607656415295394436693947860736093596616456341 Fri Mar 28 23:06:32 2008 elapsed time 08:42:16
Mar 28, 2008: By Jo Yeong Uk / GGNFS, GMP-ECM
(14·10¹⁴⁰+13)/9 = 1(5)₁₃₉7_<141> = C141
C141 = P44 · P48 · P50
P44 = 18651903176326491578590588753852342945211347_<44>
P48 = 252881043399032213036236815115213828278264819281_<48>
P50 = 32979654314807824846613071587603169379763120964151_<50>

Number: 15557_140 N=155555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 ( 141 digits) SNFS difficulty: 141 digits. Divisors found: r1=18651903176326491578590588753852342945211347 (pp44) r2=252881043399032213036236815115213828278264819281 (pp48) r3=32979654314807824846613071587603169379763120964151 (pp50) Version: GGNFS-0.77.1-20050930-nocona Total time: 6.85 hours. Scaled time: 12.72 units (timescale=1.858). Factorization parameters were as follows: n: 155555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 m: 10000000000000000000000000000 c5: 14 c0: 13 skew: 0.99 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [750000, 1200001) Primes: RFBsize:114155, AFBsize:113567, largePrimes:3340555 encountered Relations: rels:3374677, finalFF:329395 Max relations in full relation-set: 28 Initial matrix: 227788 x 329395 with sparse part having weight 29643874. Pruned matrix : 192119 x 193321 with weight 14135088. Total sieving time: 6.64 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.13 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000 total time: 6.85 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
(14·10¹⁴³+13)/9 = 1(5)₁₄₂7_<144> = 463 · 757473732247_<12> · C129
C129 = P32 · P98
P32 = 31023256647461269459083296692481_<32>
P98 = 14297153258489824550197407114241491781702207804512304053903211398529910877204888068953512227503277_<98>
(13·10¹⁵⁸+41)/9 = 1(4)₁₅₇9_<159> = 8395064813_<10> · 6547652897573_<13> · C136
C136 = P35 · P38 · P64
P35 = 16799381951211795792021653942974259_<35>
P38 = 95310855936913632436908778587893374381_<38>
P64 = 1641177169129370612168524976686946831629697557566826514744860519_<64>

Number: 14449_158 N=2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401 ( 136 digits) SNFS difficulty: 161 digits. Divisors found: r1=16799381951211795792021653942974259 (pp35) r2=95310855936913632436908778587893374381 (pp38) r3=1641177169129370612168524976686946831629697557566826514744860519 (pp64) Version: GGNFS-0.77.1-20050930-nocona Total time: 45.46 hours. Scaled time: 84.51 units (timescale=1.859). Factorization parameters were as follows: n: 2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401 m: 100000000000000000000000000000000 c5: 13 c0: 4100 skew: 3.16 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 4700001) Primes: RFBsize:283146, AFBsize:283233, largePrimes:5900455 encountered Relations: rels:5998416, finalFF:691121 Max relations in full relation-set: 28 Initial matrix: 566446 x 691121 with sparse part having weight 57637285. Pruned matrix : 482715 x 485611 with weight 41998325. Total sieving time: 43.81 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.49 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 45.46 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
(14·10¹⁴⁸+13)/9 = 1(5)₁₄₇7_<149> = 23 · 127 · 9617431 · 28592942638103_<14> · C125
C125 = P31 · P94
P31 = 2955942702886671963377337782719_<31>
P94 = 6551489141217456900333363868481004414477273935372377844460384722109044250808853571620019992051_<94>
(14·10¹⁴⁴+13)/9 = 1(5)₁₄₃7_<145> = 3 · 177917731 · 7896795631_<10> · C126
C126 = P35 · P91
P35 = 40279116793142065245222699843631961_<35>
P91 = 9162504531036749318413204160760887020649789519572774169774160166578798106315855757126370539_<91>
(14·10¹⁵⁴+13)/9 = 1(5)₁₅₃7_<155> = 181 · 194674953680161_<15> · 1859392175839927_<16> · 49084445312330203738301_<23> · C100
C100 = P41 · P59
P41 = 91289570793444294608922077211552637967747_<41>
P59 = 52985961482047564535054459735932602456339456869443192968833_<59>

Number: 15557_154 N=4837065681774093718251116801511046020210139612900427557252330234045588282189199187430521628630229251 ( 100 digits) Divisors found: r1=91289570793444294608922077211552637967747 (pp41) r2=52985961482047564535054459735932602456339456869443192968833 (pp59) Version: GGNFS-0.77.1-20050930-nocona Total time: 3.89 hours. Scaled time: 7.22 units (timescale=1.858). Factorization parameters were as follows: name: 15557_154 n: 4837065681774093718251116801511046020210139612900427557252330234045588282189199187430521628630229251 skew: 1367.70 # norm 2.96e+13 c5: 1198800 c4: 4597956255 c3: -6493910268984 c2: -5946587059349494 c1: 7130478681524009176 c0: 62082080180362892391 # alpha -5.23 Y1: 44023727389 Y0: -5262162593316141434 # Murphy_E 3.39e-09 # M 1269640190083716933541114628036959286252817572829869594382248791084356352137432559737845299331323783 type: gnfs rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [750000, 1300001) Primes: RFBsize:114155, AFBsize:114143, largePrimes:3920628 encountered Relations: rels:3890336, finalFF:335002 Max relations in full relation-set: 28 Initial matrix: 228377 x 335002 with sparse part having weight 26931258. Pruned matrix : 170218 x 171423 with weight 11732275. Polynomial selection time: 0.25 hours. Total sieving time: 3.42 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.09 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000 total time: 3.89 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
(14·10¹⁵⁸-23)/9 = 1(5)₁₅₇3_<159> = 3 · 727 · C155
C155 = P53 · P103
P53 = 14588197216044197579705519152242955035773942876598287_<53>
P103 = 4889092283367864506268890541041439684319959055354301808203619167574234059984462242015485343648252218499_<103>

Number: 15553_158 N=71323042437210250140098833358805848489479851240511488104335422079576137347801721942024555504610525243262519741199246013551378063069947526618778338173111213 ( 155 digits) SNFS difficulty: 160 digits. Divisors found: r1=14588197216044197579705519152242955035773942876598287 (pp53) r2=4889092283367864506268890541041439684319959055354301808203619167574234059984462242015485343648252218499 (pp103) Version: GGNFS-0.77.1-20050930-nocona Total time: 41.96 hours. Scaled time: 77.92 units (timescale=1.857). Factorization parameters were as follows: n: 71323042437210250140098833358805848489479851240511488104335422079576137347801721942024555504610525243262519741199246013551378063069947526618778338173111213 m: 100000000000000000000000000000000 c5: 7 c0: -1150 skew: 2.77 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 4500001) Primes: RFBsize:283146, AFBsize:282822, largePrimes:5807321 encountered Relations: rels:5848810, finalFF:648376 Max relations in full relation-set: 28 Initial matrix: 566034 x 648376 with sparse part having weight 50939019. Pruned matrix : 513937 x 516831 with weight 38008732. Total sieving time: 40.30 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.50 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 41.96 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Mar 27, 2008 (4th): The factor table of 155...557 was extended to n=200. Those composite numbers had been tested 430 times by GMP-ECM B1=250000. So, unknown prime factors of them are probably greater than 10³⁰.
Mar 27, 2008 (3rd): By matsui / GGNFS
5·10¹⁷⁴+9 = 5(0)₁₇₃9_<175> = 7² · 282683 · C168
C168 = P55 · P113
P55 = 6932341858585301203147155694949322507634968456323255381_<55>
P113 = 52070801363035000937721717804698385278518754334939026472475690096827289091076030500703551512192216650466491354767_<113>

N=360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227 ( 168 digits) SNFS difficulty: 175 digits. Divisors found: r1=6932341858585301203147155694949322507634968456323255381 (pp55) r2=52070801363035000937721717804698385278518754334939026472475690096827289091076030500703551512192216650466491354767 (pp113) Version: GGNFS-0.77.1-20060513-prescott Total time: 179.84 hours. Scaled time: 204.47 units (timescale=1.137). Factorization parameters were as follows: n: 360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227 m: 100000000000000000000000000000000000 c5: 1 c0: 18 skew: 1.78 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 10200001) Primes: RFBsize:501962, AFBsize:502056, largePrimes:6407087 encountered Relations: rels:6887568, finalFF:1161225 Max relations in full relation-set: 28 Initial matrix: 1004085 x 1161225 with sparse part having weight 66785490. Pruned matrix : 866238 x 871322 with weight 48815069. Total sieving time: 165.19 hours. Total relation processing time: 0.13 hours. Matrix solve time: 14.16 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 179.84 hours.
Mar 27, 2008 (2nd): By Sinkiti Sibata / GGNFS
(13·10¹⁵⁰+41)/9 = 1(4)₁₄₉9_<151> = 3 · 149 · 223 · 457 · 1436593 · 468280357 · 1327754658863_<13> · C116
C116 = P37 · P79
P37 = 5273931011586111902421401925826174831_<37>
P79 = 6731010863188734060301094219283696900836548322318543641341967238597466709527349_<79>

Number: 14449_150 N=35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019 ( 116 digits) SNFS difficulty: 151 digits. Divisors found: r1=5273931011586111902421401925826174831 (pp37) r2=6731010863188734060301094219283696900836548322318543641341967238597466709527349 (pp79) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 30.51 hours. Scaled time: 20.60 units (timescale=0.675). Factorization parameters were as follows: name: 14449_150 n: 35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019 m: 1000000000000000000000000000000 c5: 13 c0: 41 skew: 1.26 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2000001) Primes: RFBsize:176302, AFBsize:175494, largePrimes:5501118 encountered Relations: rels:5456438, finalFF:525614 Max relations in full relation-set: 28 Initial matrix: 351863 x 525614 with sparse part having weight 45683886. Pruned matrix : 270724 x 272547 with weight 23014047. Total sieving time: 27.43 hours. Total relation processing time: 0.21 hours. Matrix solve time: 2.73 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 30.51 hours. --------- CPU info (if available) ----------
Mar 27, 2008: By Jo Yeong Uk / GGNFS
(13·10¹⁵³+41)/9 = 1(4)₁₅₂9_<154> = 3 · 7 · 65532938855809_<14> · 162935348628421_<15> · C124
C124 = P41 · P83
P41 = 64509374281942124842464642137452130975431_<41>
P83 = 99858206116329719031014868769440016414121759112914631130939441108095968385953976191_<83>

Number: 14449_153 N=6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321 ( 124 digits) SNFS difficulty: 156 digits. Divisors found: r1=64509374281942124842464642137452130975431 (pp41) r2=99858206116329719031014868769440016414121759112914631130939441108095968385953976191 (pp83) Version: GGNFS-0.77.1-20050930-nocona Total time: 25.95 hours. Scaled time: 47.65 units (timescale=1.836). Factorization parameters were as follows: n: 6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321 m: 10000000000000000000000000000000 c5: 13 c0: 4100 skew: 3.16 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3100001) Primes: RFBsize:216816, AFBsize:216987, largePrimes:5681241 encountered Relations: rels:5609321, finalFF:505447 Max relations in full relation-set: 28 Initial matrix: 433870 x 505447 with sparse part having weight 43815349. Pruned matrix : 402967 x 405200 with weight 31494206. Total sieving time: 24.96 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.86 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 25.95 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Mar 25, 2008: By Sinkiti Sibata / GGNFS
(14·10¹⁴⁹-23)/9 = 1(5)₁₄₈3_<150> = 3 · 19 · 61 · C146
C146 = P52 · P95
P52 = 3356563431989464838102279492452770144334227580418669_<52>
P95 = 13328644255702782199398300118670013826308047575946272170431865182527315159031646426963541568881_<95>

Number: 15553_149 N=44738439906688396766049915316524462339820407119803150864410571054229380372607292365704790208672866136196593487361390726360527913590898923081839389 ( 146 digits) SNFS difficulty: 150 digits. Divisors found: r1=3356563431989464838102279492452770144334227580418669 (pp52) r2=13328644255702782199398300118670013826308047575946272170431865182527315159031646426963541568881 (pp95) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 34.05 hours. Scaled time: 22.99 units (timescale=0.675). Factorization parameters were as follows: name: 15553_149 n: 44738439906688396766049915316524462339820407119803150864410571054229380372607292365704790208672866136196593487361390726360527913590898923081839389 m: 1000000000000000000000000000000 c5: 7 c0: -115 skew: 1.75 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2100001) Primes: RFBsize:176302, AFBsize:176253, largePrimes:5595123 encountered Relations: rels:5569052, finalFF:530347 Max relations in full relation-set: 28 Initial matrix: 352620 x 530347 with sparse part having weight 46594351. Pruned matrix : 278318 x 280145 with weight 23634117. Total sieving time: 30.74 hours. Total relation processing time: 0.22 hours. Matrix solve time: 2.94 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 34.05 hours. --------- CPU info (if available) ----------
Mar 24, 2008 (2nd): By Jo Yeong Uk / GGNFS
(13·10¹⁷⁶+41)/9 = 1(4)₁₇₅9_<177> = C177
C177 = P65 · P112
P65 = 27808173143646712634660391407710352012010711814864118729595098669_<65>
P112 = 5194316206904279433881048138938401523659364545671879176946965575026753080885093603550898063065486182518914359621_<112>

Number: 14449_176 N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 ( 177 digits) SNFS difficulty: 177 digits. Divisors found: r1=27808173143646712634660391407710352012010711814864118729595098669 (pp65) r2=5194316206904279433881048138938401523659364545671879176946965575026753080885093603550898063065486182518914359621 (pp112) Version: GGNFS-0.77.1-20050930-nocona Total time: 204.63 hours. Scaled time: 380.21 units (timescale=1.858). Factorization parameters were as follows: n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 m: 100000000000000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [4500000, 7900001) Primes: RFBsize:602489, AFBsize:600866, largePrimes:10966505 encountered Relations: rels:11138115, finalFF:1368651 Max relations in full relation-set: 28 Initial matrix: 1203422 x 1368651 with sparse part having weight 91983625. Pruned matrix : 1058351 x 1064432 with weight 64848531. Total sieving time: 196.42 hours. Total relation processing time: 0.20 hours. Matrix solve time: 7.84 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.6,2.6,100000 total time: 204.63 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110) Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)
Mar 24, 2008: By Sinkiti Sibata / GGNFS
(14·10¹⁴⁶-23)/9 = 1(5)₁₄₅3_<147> = 3² · 17 · 9007 · 2781397012235323853321_<22> · C119
C119 = P39 · P81
P39 = 105919920953310151356411194198742339101_<39>
P81 = 383153944492844763111161253251402110359504657912538041799224423031962917815854683_<81>

Number: 15553_146 N=40583635513631102698432965511202053180932113770520479983068613766399546890836472954025354188279221472737487682924859983 ( 119 digits) SNFS difficulty: 147 digits. Divisors found: r1=105919920953310151356411194198742339101 (pp39) r2=383153944492844763111161253251402110359504657912538041799224423031962917815854683 (pp81) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 32.78 hours. Scaled time: 22.12 units (timescale=0.675). Factorization parameters were as follows: name: 15553_146 n: 40583635513631102698432965511202053180932113770520479983068613766399546890836472954025354188279221472737487682924859983 m: 100000000000000000000000000000 c5: 140 c0: -23 skew: 0.7 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 3950001) Primes: RFBsize:114155, AFBsize:113947, largePrimes:3019088 encountered Relations: rels:3057061, finalFF:262687 Max relations in full relation-set: 28 Initial matrix: 228169 x 262687 with sparse part having weight 32216803. Pruned matrix : 218774 x 219978 with weight 25544316. Total sieving time: 30.47 hours. Total relation processing time: 0.26 hours. Matrix solve time: 1.93 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 32.78 hours. --------- CPU info (if available) ----------
Mar 23, 2008: Jason Papadopoulos's Msieve Version 1.34 was released.
HOW TO for Japanese
Mar 22, 2008 (2nd): By matsui / GGNFS
8·10¹⁷⁵-3 = 7(9)₁₇₄7_<176> = 7² · 11 · C174
C174 = P35 · P139
P35 = 23845405656471461086656552291936781_<35>
P139 = 6224385850428249598700767268572320083297682242040150160618374892128763951342044866744404597104779601236466339628501125503574499709383067683_<139>

N=148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423 ( 174 digits) SNFS difficulty: 175 digits. Divisors found: r1=23845405656471461086656552291936781 (pp35) r2=6224385850428249598700767268572320083297682242040150160618374892128763951342044866744404597104779601236466339628501125503574499709383067683 (pp139) Version: GGNFS-0.77.1-20060513-prescott Total time: 164.37 hours. Scaled time: 191.16 units (timescale=1.163). Factorization parameters were as follows: n: 148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423 m: 100000000000000000000000000000000000 c5: 8 c0: -3 skew: 0.82 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 9999999 ) Primes: RFBsize:501962, AFBsize:502156, largePrimes:6367552 encountered Relations: rels:6839182, finalFF:1153977 Max relations in full relation-set: 28 Initial matrix: 1004183 x 1153977 with sparse part having weight 64267694. Pruned matrix : 872629 x 877713 with weight 47053168. Total sieving time: 156.72 hours. Total relation processing time: 0.14 hours. Matrix solve time: 7.16 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 164.37 hours.
Mar 22, 2008: By Sinkiti Sibata / Msieve, GGNFS
(14·10¹⁷²-23)/9 = 1(5)₁₇₁3_<173> = 146620853411992717_<18> · 48732841755745228357_<20> · 157497047898162804731_<21> · 1087171254746335852469_<22> · C95
C95 = P41 · P54
P41 = 59153305041058215728786305575326180793937_<41>
P54 = 214940696862403157894398875584911842395797860592706359_<54>

Number: 15553_154 N=29332292490325663814719515383691975304656640266784115156065107203761488181559402971368249961736184353 ( 101 digits) SNFS difficulty: 155 digits. Divisors found: r1=95870625299777853092472666927690315569741 (pp41) r2=305957037399167054607851451384826644981270222698168907376933 (pp60) Version: GGNFS-0.77.1-20060513-k8 Total time: 40.32 hours. Scaled time: 80.60 units (timescale=1.999). Factorization parameters were as follows: name: 15553_154 n: 29332292490325663814719515383691975304656640266784115156065107203761488181559402971368249961736184353 m: 10000000000000000000000000000000 c5: 7 c0: -115 skew: 1.75 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2800001) Primes: RFBsize:216816, AFBsize:216496, largePrimes:5747979 encountered Relations: rels:5768604, finalFF:592648 Max relations in full relation-set: 28 Initial matrix: 433377 x 592648 with sparse part having weight 49565434. Pruned matrix : 350847 x 353077 with weight 30783997. Total sieving time: 38.33 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.66 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 40.32 hours. --------- CPU info (if available) ----------
(14·10¹⁵⁴-23)/9 = 1(5)₁₅₃3_<155> = 151 · 10993 · 71999 · 525466275970973936861_<21> · 8444521211546589929213_<22> · C101
C101 = P41 · P60
P41 = 95870625299777853092472666927690315569741_<41>
P60 = 305957037399167054607851451384826644981270222698168907376933_<60>

Fri Mar 21 21:27:39 2008 Msieve v. 1.33 Fri Mar 21 21:27:39 2008 random seeds: 59a25932 53de64be Fri Mar 21 21:27:39 2008 factoring 12714452607239358532562745136775421026098425976970363512265686475547346928780346430570128545383 (95 digits) Fri Mar 21 21:27:41 2008 searching for 15-digit factors Fri Mar 21 21:27:43 2008 commencing quadratic sieve (95-digit input) Fri Mar 21 21:27:43 2008 using multiplier of 7 Fri Mar 21 21:27:43 2008 using 64kb Pentium 4 sieve core Fri Mar 21 21:27:43 2008 sieve interval: 18 blocks of size 65536 Fri Mar 21 21:27:43 2008 processing polynomials in batches of 6 Fri Mar 21 21:27:43 2008 using a sieve bound of 2093807 (77512 primes) Fri Mar 21 21:27:43 2008 using large prime bound of 297320594 (28 bits) Fri Mar 21 21:27:43 2008 using double large prime bound of 1785685485840044 (42-51 bits) Fri Mar 21 21:27:43 2008 using trial factoring cutoff of 51 bits Fri Mar 21 21:27:43 2008 polynomial 'A' values have 12 factors Sat Mar 22 02:44:08 2008 77717 relations (19430 full + 58287 combined from 1125756 partial), need 77608 Sat Mar 22 02:44:13 2008 begin with 1145186 relations Sat Mar 22 02:44:14 2008 reduce to 199983 relations in 10 passes Sat Mar 22 02:44:14 2008 attempting to read 199983 relations Sat Mar 22 02:44:20 2008 recovered 199983 relations Sat Mar 22 02:44:20 2008 recovered 182356 polynomials Sat Mar 22 02:44:21 2008 attempting to build 77717 cycles Sat Mar 22 02:44:21 2008 found 77717 cycles in 7 passes Sat Mar 22 02:44:21 2008 distribution of cycle lengths: Sat Mar 22 02:44:21 2008 length 1 : 19430 Sat Mar 22 02:44:21 2008 length 2 : 13873 Sat Mar 22 02:44:21 2008 length 3 : 13261 Sat Mar 22 02:44:21 2008 length 4 : 10546 Sat Mar 22 02:44:21 2008 length 5 : 7814 Sat Mar 22 02:44:21 2008 length 6 : 5092 Sat Mar 22 02:44:21 2008 length 7 : 3301 Sat Mar 22 02:44:21 2008 length 9+: 4400 Sat Mar 22 02:44:21 2008 largest cycle: 23 relations Sat Mar 22 02:44:21 2008 matrix is 77512 x 77717 (20.8 MB) with weight 5138619 (66.12/col) Sat Mar 22 02:44:21 2008 sparse part has weight 5138619 (66.12/col) Sat Mar 22 02:44:23 2008 filtering completed in 3 passes Sat Mar 22 02:44:23 2008 matrix is 73413 x 73476 (19.8 MB) with weight 4892739 (66.59/col) Sat Mar 22 02:44:23 2008 sparse part has weight 4892739 (66.59/col) Sat Mar 22 02:44:23 2008 saving the first 48 matrix rows for later Sat Mar 22 02:44:24 2008 matrix is 73365 x 73476 (13.6 MB) with weight 3977170 (54.13/col) Sat Mar 22 02:44:24 2008 sparse part has weight 3115293 (42.40/col) Sat Mar 22 02:44:24 2008 matrix includes 64 packed rows Sat Mar 22 02:44:24 2008 using block size 21845 for processor cache size 512 kB Sat Mar 22 02:44:25 2008 commencing Lanczos iteration Sat Mar 22 02:44:25 2008 memory use: 12.4 MB Sat Mar 22 02:45:22 2008 lanczos halted after 1163 iterations (dim = 73363) Sat Mar 22 02:45:22 2008 recovered 17 nontrivial dependencies Sat Mar 22 02:45:23 2008 prp41 factor: 59153305041058215728786305575326180793937 Sat Mar 22 02:45:23 2008 prp54 factor: 214940696862403157894398875584911842395797860592706359 Sat Mar 22 02:45:23 2008 elapsed time 05:17:44
Mar 21, 2008: By Sinkiti Sibata / GGNFS
(14·10¹³²-23)/9 = 1(5)₁₃₁3_<133> = 59 · 71 · 97 · 7823 · 16007597 · C116
C116 = P34 · P82
P34 = 7196110320984271887768290805077603_<34>
P82 = 4248211658617179794953002753092149992005253913469193885224487376180475161049101837_<82>

Number: 15553_132 N=30570599762300799760623180349250549785396977164422221332055957515459038129517087760322197185377808927798602234856711 ( 116 digits) SNFS difficulty: 133 digits. Divisors found: r1=7196110320984271887768290805077603 (pp34) r2=4248211658617179794953002753092149992005253913469193885224487376180475161049101837 (pp82) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 6.85 hours. Scaled time: 4.62 units (timescale=0.675). Factorization parameters were as follows: name: 15553_132 n: 30570599762300799760623180349250549785396977164422221332055957515459038129517087760322197185377808927798602234856711 m: 100000000000000000000000000 c5: 1400 c0: -23 skew: 0.44 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1100001) Primes: RFBsize:63951, AFBsize:63708, largePrimes:1471928 encountered Relations: rels:1451773, finalFF:152003 Max relations in full relation-set: 28 Initial matrix: 127726 x 152003 with sparse part having weight 11651770. Pruned matrix : 121041 x 121743 with weight 7752542. Total sieving time: 6.45 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.27 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 6.85 hours. --------- CPU info (if available) ----------
(14·10¹⁵³-23)/9 = 1(5)₁₅₂3_<154> = C154
C154 = P40 · P54 · P60
P40 = 3282864968103111044049116015189636325629_<40>
P54 = 750520966883775487075871543212035736560922760348863037_<54>
P60 = 631349262219539973921775256331377718345779965714457540134361_<60>

Number: 15553_153 N=1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 ( 154 digits) SNFS difficulty: 154 digits. Divisors found: r1=3282864968103111044049116015189636325629 (pp40) r2=750520966883775487075871543212035736560922760348863037 (pp54) r3=631349262219539973921775256331377718345779965714457540134361 (pp60) Version: GGNFS-0.77.1-20060513-k8 Total time: 47.73 hours. Scaled time: 94.84 units (timescale=1.987). Factorization parameters were as follows: name: 15553_153 n: 1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 m: 2000000000000000000000000000000 c5: 875 c0: -46 skew: 0.55 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2900001) Primes: RFBsize:176302, AFBsize:176403, largePrimes:5995663 encountered Relations: rels:6090467, finalFF:516187 Max relations in full relation-set: 28 Initial matrix: 352771 x 516187 with sparse part having weight 60940354. Pruned matrix : 300632 x 302459 with weight 37411755. Total sieving time: 45.67 hours. Total relation processing time: 0.20 hours. Matrix solve time: 1.70 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 47.73 hours. --------- CPU info (if available) ----------
(14·10¹³⁴-23)/9 = 1(5)₁₃₃3_<135> = 3 · 43 · 1841849 · 6133187 · 266089199 · 1845161925989_<13> · C99
C99 = P45 · P55
P45 = 215339786052217239372566579524945255357716889_<45>
P55 = 1009647045755365143845638829136615216297983945249227441_<55>

Number: 15553_134 N=217417178821213519897591666112568676084285561292677561587515695663261258375232990435242424847951049 ( 99 digits) SNFS difficulty: 135 digits. Divisors found: r1=215339786052217239372566579524945255357716889 (pp45) r2=1009647045755365143845638829136615216297983945249227441 (pp55) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 10.16 hours. Scaled time: 6.86 units (timescale=0.675). Factorization parameters were as follows: name: 15553_134 n: 217417178821213519897591666112568676084285561292677561587515695663261258375232990435242424847951049 m: 1000000000000000000000000000 c5: 7 c0: -115 skew: 1.75 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1450001) Primes: RFBsize:78498, AFBsize:64213, largePrimes:1584221 encountered Relations: rels:1601133, finalFF:186184 Max relations in full relation-set: 28 Initial matrix: 142776 x 186184 with sparse part having weight 16736449. Pruned matrix : 129917 x 130694 with weight 10014781. Total sieving time: 9.64 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.35 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 10.16 hours. --------- CPU info (if available) ----------
Mar 20, 2008 (5th): By Kenji Ibusuki / GGNFS
4·10¹⁷⁰+1 = 4(0)₁₆₉1_<171> = 89 · 809 · 12037 · 389533 · C157
C157 = P53 · P104
P53 = 50122020190096192578898087923762046470485403737718517_<53>
P104 = 23639069626409130088066491289529080774163216816334627185245521359044363228829638540915634190946573122893_<104>

Number: 40001_170 N=1184837925089968078544520908542592436150696161669648582832799154284494683403914446462403262666786104631720001979278062769291401761650003730882381331682709681 ( 157 digits) SNFS difficulty: 170 digits. Divisors found: r1=50122020190096192578898087923762046470485403737718517 (pp53) r2=23639069626409130088066491289529080774163216816334627185245521359044363228829638540915634190946573122893 (pp104) Version: GGNFS-0.77.1 Total time: 78.39 hours. Scaled time: 228.11 units (timescale=2.910). Factorization parameters were as follows: n: 1184837925089968078544520908542592436150696161669648582832799154284494683403914446462403262666786104631720001979278062769291401761650003730882381331682709681 m: 10000000000000000000000000000000000 c5: 4 c0: 1 skew: 0.76 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [3000000, 6700001) Relations: rels:6317037, finalFF:948920 Initial matrix: 825604 x 948920 with sparse part having weight 54336203. Pruned matrix : 777410 x 781602 with weight 36172201. Total sieving time: 75.20 hours. Total relation processing time: 0.11 hours. Matrix solve time: 2.98 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 78.39 hours. --------- CPU info (if available) ----------
Mar 20, 2008 (4th): By matsui / GGNFS
(10¹⁷⁰-7)/3 = (3)₁₆₉1_<170> = 1223 · 1338241 · 15591659 · 188781916091_<12> · 31872508364263293913_<20> · C123
C123 = P48 · P75
P48 = 580886318748190657139044362291165865116443036239_<48>
P75 = 373729902486897603627174044597757752130374463217098463335616446710076649499_<75>

N=217094587261734213548195463421530504205064288592142575659125525045291823980927102240839454448872345229344019259079758194261 ( 123 digits) SNFS difficulty: 170 digits. Divisors found: r1=580886318748190657139044362291165865116443036239 (pp48) r2=373729902486897603627174044597757752130374463217098463335616446710076649499 (pp75) Version: GGNFS-0.77.1-20060513-prescott Total time: 121.53 hours. Scaled time: 145.71 units (timescale=1.199). Factorization parameters were as follows: n: 217094587261734213548195463421530504205064288592142575659125525045291823980927102240839454448872345229344019259079758194261 m: 10000000000000000000000000000000000 c5: 1 c0: -7 skew: 1.48 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 6700001) Primes: RFBsize:412849, AFBsize:412321, largePrimes:6051704 encountered Relations: rels:6370117, finalFF:976583 Max relations in full relation-set: 28 Initial matrix: 825236 x 976583 with sparse part having weight 54355320. Pruned matrix : 696718 x 700908 with weight 37929732. Total sieving time: 109.72 hours. Total relation processing time: 0.13 hours. Matrix solve time: 11.39 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 121.53 hours.
Mar 20, 2008 (3rd): By Jo Yeong Uk / GMP-ECM
(14·10¹⁵⁵-23)/9 = 1(5)₁₅₄3_<156> = 3³ · 43 · 47 · 195929 · 39917387 · C138
C138 = P32 · P107
P32 = 27496531615303751255508385977877_<32>
P107 = 13256128530106065804015121820004168812872800900839223596915403773061273707418701227696707739151908971363929_<107>
(14·10¹⁵¹-23)/9 = 1(5)₁₅₀3_<152> = 13 · 2213 · 517619 · 7681936333_<10> · 1717634052520051_<16> · C116
C116 = P29 · P88
P29 = 16820895951350324317170195241_<29>
P88 = 4706521871418196358281662023008824663095196031484100339389156478064745201226851468713141_<88>
Mar 20, 2008 (2nd): By Sinkiti Sibata / GGNFS, Msieve
(14·10¹³⁶-23)/9 = 1(5)₁₃₅3_<137> = 2609 · 40819 · 2874721 · 14085762626082570811_<20> · C103
C103 = P41 · P62
P41 = 86564637715095292547101787933942319569693_<41>
P62 = 41670863835479319614069605921391221377496695827764326594084421_<62>

Number: 15553_136 N=3607223231193333588521443657845306759593847350118466937436125963882416398551207258919445340876035052753 ( 103 digits) SNFS difficulty: 137 digits. Divisors found: r1=86564637715095292547101787933942319569693 (pp41) r2=41670863835479319614069605921391221377496695827764326594084421 (pp62) Version: GGNFS-0.77.1-20060513-k8 Total time: 11.88 hours. Scaled time: 23.46 units (timescale=1.974). Factorization parameters were as follows: name: 15553_136 n: 3607223231193333588521443657845306759593847350118466937436125963882416398551207258919445340876035052753 m: 1000000000000000000000000000 c5: 140 c0: -23 skew: 0.7 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1975001) Primes: RFBsize:78498, AFBsize:63933, largePrimes:1678180 encountered Relations: rels:1716318, finalFF:184796 Max relations in full relation-set: 28 Initial matrix: 142498 x 184796 with sparse part having weight 20279499. Pruned matrix : 132168 x 132944 with weight 13105300. Total sieving time: 11.59 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.15 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 11.88 hours. --------- CPU info (if available) ----------
(14·10¹⁰⁷-23)/9 = 1(5)₁₀₆3_<108> = 3 · 1951 · 8748821 · C97
C97 = P38 · P59
P38 = 70116552119131233253697742765797176049_<38>
P59 = 43324835157711520807946225794361876690197612007341872469969_<59>

Wed Mar 19 21:19:59 2008 Msieve v. 1.33 Wed Mar 19 21:19:59 2008 random seeds: ba38696c 9d0b82cb Wed Mar 19 21:19:59 2008 factoring 3037788062388449092580779371481569043270450892455898354863806802156173024445878302412156758572481 (97 digits) Wed Mar 19 21:20:01 2008 searching for 15-digit factors Wed Mar 19 21:20:03 2008 commencing quadratic sieve (97-digit input) Wed Mar 19 21:20:03 2008 using multiplier of 41 Wed Mar 19 21:20:03 2008 using 64kb Pentium 4 sieve core Wed Mar 19 21:20:03 2008 sieve interval: 18 blocks of size 65536 Wed Mar 19 21:20:03 2008 processing polynomials in batches of 6 Wed Mar 19 21:20:03 2008 using a sieve bound of 2368859 (87059 primes) Wed Mar 19 21:20:03 2008 using large prime bound of 355328850 (28 bits) Wed Mar 19 21:20:03 2008 using double large prime bound of 2461131624868650 (43-52 bits) Wed Mar 19 21:20:03 2008 using trial factoring cutoff of 52 bits Wed Mar 19 21:20:03 2008 polynomial 'A' values have 13 factors Thu Mar 20 07:23:56 2008 87413 relations (21168 full + 66245 combined from 1314170 partial), need 87155 Thu Mar 20 07:24:01 2008 begin with 1335338 relations Thu Mar 20 07:24:02 2008 reduce to 228891 relations in 10 passes Thu Mar 20 07:24:02 2008 attempting to read 228891 relations Thu Mar 20 07:24:10 2008 recovered 228891 relations Thu Mar 20 07:24:10 2008 recovered 216532 polynomials Thu Mar 20 07:24:11 2008 attempting to build 87413 cycles Thu Mar 20 07:24:11 2008 found 87413 cycles in 6 passes Thu Mar 20 07:24:11 2008 distribution of cycle lengths: Thu Mar 20 07:24:11 2008 length 1 : 21168 Thu Mar 20 07:24:11 2008 length 2 : 15264 Thu Mar 20 07:24:11 2008 length 3 : 14623 Thu Mar 20 07:24:11 2008 length 4 : 11881 Thu Mar 20 07:24:11 2008 length 5 : 8950 Thu Mar 20 07:24:11 2008 length 6 : 6114 Thu Mar 20 07:24:11 2008 length 7 : 3907 Thu Mar 20 07:24:11 2008 length 9+: 5506 Thu Mar 20 07:24:11 2008 largest cycle: 19 relations Thu Mar 20 07:24:11 2008 matrix is 87059 x 87413 (23.6 MB) with weight 5834793 (66.75/col) Thu Mar 20 07:24:11 2008 sparse part has weight 5834793 (66.75/col) Thu Mar 20 07:24:13 2008 filtering completed in 3 passes Thu Mar 20 07:24:13 2008 matrix is 83194 x 83258 (22.5 MB) with weight 5570899 (66.91/col) Thu Mar 20 07:24:13 2008 sparse part has weight 5570899 (66.91/col) Thu Mar 20 07:24:14 2008 saving the first 48 matrix rows for later Thu Mar 20 07:24:14 2008 matrix is 83146 x 83258 (13.8 MB) with weight 4369149 (52.48/col) Thu Mar 20 07:24:14 2008 sparse part has weight 3120596 (37.48/col) Thu Mar 20 07:24:14 2008 matrix includes 64 packed rows Thu Mar 20 07:24:14 2008 using block size 21845 for processor cache size 512 kB Thu Mar 20 07:24:15 2008 commencing Lanczos iteration Thu Mar 20 07:24:15 2008 memory use: 13.5 MB Thu Mar 20 07:25:24 2008 lanczos halted after 1316 iterations (dim = 83143) Thu Mar 20 07:25:24 2008 recovered 16 nontrivial dependencies Thu Mar 20 07:25:28 2008 prp38 factor: 70116552119131233253697742765797176049 Thu Mar 20 07:25:28 2008 prp59 factor: 43324835157711520807946225794361876690197612007341872469969 Thu Mar 20 07:25:28 2008 elapsed time 10:05:29
(14·10¹³¹-23)/9 = 1(5)₁₃₀3_<132> = 3 · 19 · C130
C130 = P45 · P85
P45 = 468056747262877864591378985344497462087808873_<45>
P85 = 5830585394328821340439305519151218975641216570980360445799468073046721537499689235073_<85>

Number: 15553_131 N=2729044834307992202729044834307992202729044834307992202729044834307992202729044834307992202729044834307992202729044834307992202729 ( 130 digits) SNFS difficulty: 132 digits. Divisors found: r1=468056747262877864591378985344497462087808873 (pp45) r2=5830585394328821340439305519151218975641216570980360445799468073046721537499689235073 (pp85) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 7.84 hours. Scaled time: 5.30 units (timescale=0.675). Factorization parameters were as follows: name: 15553_131 n: 2729044834307992202729044834307992202729044834307992202729044834307992202729044834307992202729044834307992202729044834307992202729 m: 100000000000000000000000000 c5: 140 c0: -23 skew: 0.7 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1250001) Primes: RFBsize:63951, AFBsize:63933, largePrimes:1536054 encountered Relations: rels:1530353, finalFF:157374 Max relations in full relation-set: 28 Initial matrix: 127951 x 157374 with sparse part having weight 14195039. Pruned matrix : 120613 x 121316 with weight 9276025. Total sieving time: 7.40 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.29 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 7.84 hours. --------- CPU info (if available) ----------
(14·10¹³⁸-23)/9 = 1(5)₁₃₇3_<139> = 8111 · C135
C135 = P36 · P41 · P60
P36 = 108711266578758459613216246008874649_<36>
P41 = 10324155343485704388884033718797007786067_<41>
P60 = 170876381427759404236156771629665436841780455921013486760381_<60>

Number: 15553_138 N=191783449088343675940766311867285853230866176248989712187838189564240606035699119166015972821545500623296209537116946807490513568679023 ( 135 digits) SNFS difficulty: 139 digits. Divisors found: r1=108711266578758459613216246008874649 (pp36) r2=10324155343485704388884033718797007786067 (pp41) r3=170876381427759404236156771629665436841780455921013486760381 (pp60) Version: GGNFS-0.77.1-20060513-k8 Total time: 19.92 hours. Scaled time: 39.85 units (timescale=2.000). Factorization parameters were as follows: name: 15553_138 n: 191783449088343675940766311867285853230866176248989712187838189564240606035699119166015972821545500623296209537116946807490513568679023 m: 2000000000000000000000000000 c5: 875 c0: -46 skew: 0.55 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 3175001) Primes: RFBsize:78498, AFBsize:63723, largePrimes:1800247 encountered Relations: rels:1887080, finalFF:161274 Max relations in full relation-set: 28 Initial matrix: 142287 x 161274 with sparse part having weight 20694509. Pruned matrix : 138410 x 139185 with weight 16896378. Total sieving time: 19.54 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.20 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 19.92 hours. --------- CPU info (if available) ----------
Mar 20, 2008: By Kenichiroh Yamaguchi / Msieve
(14·10¹⁸³-23)/9 = 1(5)₁₈₂3_<184> = 173 · 22501 · 12153853259_<11> · 989929583017_<12> · 1872165481279_<13> · 21311468009719_<14> · 634859922851017_<15> · 6013661672725536345979_<22> · C93
C93 = P34 · P59
P34 = 8747097848694413689758101801203081_<34>
P59 = 24927620489480658641554644061289498862540687696094550232089_<59>

Thu Mar 20 00:47:44 2008 Thu Mar 20 00:47:44 2008 Thu Mar 20 00:47:44 2008 Msieve v. 1.33 Thu Mar 20 00:47:44 2008 random seeds: ec6f1bc8 e3913f34 Thu Mar 20 00:47:44 2008 factoring 218044335556607056762155154297125159650663090901409983335965799460624173261563216247971866209 (93 digits) Thu Mar 20 00:47:46 2008 searching for 15-digit factors Thu Mar 20 00:47:47 2008 commencing quadratic sieve (93-digit input) Thu Mar 20 00:47:48 2008 using multiplier of 1 Thu Mar 20 00:47:48 2008 using 32kb Pentium M sieve core Thu Mar 20 00:47:48 2008 sieve interval: 36 blocks of size 32768 Thu Mar 20 00:47:48 2008 processing polynomials in batches of 6 Thu Mar 20 00:47:48 2008 using a sieve bound of 1888307 (70588 primes) Thu Mar 20 00:47:48 2008 using large prime bound of 220931919 (27 bits) Thu Mar 20 00:47:48 2008 using double large prime bound of 1046321638060374 (42-50 bits) Thu Mar 20 00:47:48 2008 using trial factoring cutoff of 50 bits Thu Mar 20 00:47:48 2008 polynomial 'A' values have 12 factors Thu Mar 20 04:02:02 2008 71110 relations (18516 full + 52594 combined from 918052 partial), need 70684 Thu Mar 20 04:02:03 2008 begin with 936567 relations Thu Mar 20 04:02:04 2008 reduce to 178995 relations in 10 passes Thu Mar 20 04:02:04 2008 attempting to read 178995 relations Thu Mar 20 04:02:07 2008 recovered 178995 relations Thu Mar 20 04:02:07 2008 recovered 159948 polynomials Thu Mar 20 04:02:07 2008 attempting to build 71110 cycles Thu Mar 20 04:02:07 2008 found 71110 cycles in 6 passes Thu Mar 20 04:02:07 2008 distribution of cycle lengths: Thu Mar 20 04:02:07 2008 length 1 : 18516 Thu Mar 20 04:02:07 2008 length 2 : 12937 Thu Mar 20 04:02:07 2008 length 3 : 12446 Thu Mar 20 04:02:07 2008 length 4 : 9530 Thu Mar 20 04:02:07 2008 length 5 : 6740 Thu Mar 20 04:02:07 2008 length 6 : 4538 Thu Mar 20 04:02:07 2008 length 7 : 2826 Thu Mar 20 04:02:07 2008 length 9+: 3577 Thu Mar 20 04:02:07 2008 largest cycle: 19 relations Thu Mar 20 04:02:08 2008 matrix is 70588 x 71110 (17.4 MB) with weight 4281603 (60.21/col) Thu Mar 20 04:02:08 2008 sparse part has weight 4281603 (60.21/col) Thu Mar 20 04:02:08 2008 filtering completed in 3 passes Thu Mar 20 04:02:08 2008 matrix is 66351 x 66415 (16.3 MB) with weight 4003888 (60.29/col) Thu Mar 20 04:02:08 2008 sparse part has weight 4003888 (60.29/col) Thu Mar 20 04:02:09 2008 saving the first 48 matrix rows for later Thu Mar 20 04:02:09 2008 matrix is 66303 x 66415 (9.7 MB) with weight 3093727 (46.58/col) Thu Mar 20 04:02:09 2008 sparse part has weight 2156021 (32.46/col) Thu Mar 20 04:02:09 2008 matrix includes 64 packed rows Thu Mar 20 04:02:09 2008 using block size 26566 for processor cache size 2048 kB Thu Mar 20 04:02:09 2008 commencing Lanczos iteration Thu Mar 20 04:02:09 2008 memory use: 9.9 MB Thu Mar 20 04:02:45 2008 lanczos halted after 1050 iterations (dim = 66301) Thu Mar 20 04:02:45 2008 recovered 15 nontrivial dependencies Thu Mar 20 04:02:45 2008 prp34 factor: 8747097848694413689758101801203081 Thu Mar 20 04:02:45 2008 prp59 factor: 24927620489480658641554644061289498862540687696094550232089 Thu Mar 20 04:02:45 2008 elapsed time 03:15:01
Mar 19, 2008 (3rd): By Sinkiti Sibata / GGNFS, Msieve
(14·10¹²³-23)/9 = 1(5)₁₂₂3_<124> = 12211 · 657201752020148171_<18> · C102
C102 = P44 · P59
P44 = 10753755444545527374527909643755701962882929_<44>
P59 = 18025006361564828534200757555861583140142606308789337325697_<59>

Number: 15553_123 N=193836510298645541604861266883321392503284953654360361313167961067989394247181929303493116733154326513 ( 102 digits) SNFS difficulty: 124 digits. Divisors found: r1=10753755444545527374527909643755701962882929 (pp44) r2=18025006361564828534200757555861583140142606308789337325697 (pp59) Version: GGNFS-0.77.1-20060513-k8 Total time: 3.51 hours. Scaled time: 7.00 units (timescale=1.993). Factorization parameters were as follows: name: 15553_123 n: 193836510298645541604861266883321392503284953654360361313167961067989394247181929303493116733154326513 m: 2000000000000000000000000 c5: 875 c0: -46 skew: 0.55 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:49098, AFBsize:63723, largePrimes:2340173 encountered Relations: rels:2569764, finalFF:299018 Max relations in full relation-set: 28 Initial matrix: 112887 x 299018 with sparse part having weight 32153223. Pruned matrix : 90356 x 90984 with weight 8670527. Total sieving time: 3.34 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.06 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 3.51 hours. --------- CPU info (if available) ----------
(14·10¹¹³-23)/9 = 1(5)₁₁₂3_<114> = 3 · 19² · 43 · 107 · 7975586407_<10> · 1923781173683_<13> · C85
C85 = P33 · P53
P33 = 113861384206662076954599416574707_<33>
P53 = 17869404599998095262189940211282723567677418286716373_<53>

Wed Mar 19 09:31:21 2008 Msieve v. 1.33 Wed Mar 19 09:31:21 2008 random seeds: 98abfa35 0fbf67a6 Wed Mar 19 09:31:21 2008 factoring 2034635142704677792494468631959407918934723927715575304293361053666704254742074577711 (85 digits) Wed Mar 19 09:31:22 2008 searching for 15-digit factors Wed Mar 19 09:31:24 2008 commencing quadratic sieve (85-digit input) Wed Mar 19 09:31:24 2008 using multiplier of 39 Wed Mar 19 09:31:24 2008 using 64kb Pentium 4 sieve core Wed Mar 19 09:31:24 2008 sieve interval: 6 blocks of size 65536 Wed Mar 19 09:31:24 2008 processing polynomials in batches of 17 Wed Mar 19 09:31:24 2008 using a sieve bound of 1426127 (54401 primes) Wed Mar 19 09:31:24 2008 using large prime bound of 116942414 (26 bits) Wed Mar 19 09:31:24 2008 using double large prime bound of 332927451401090 (41-49 bits) Wed Mar 19 09:31:24 2008 using trial factoring cutoff of 49 bits Wed Mar 19 09:31:24 2008 polynomial 'A' values have 11 factors Wed Mar 19 10:18:33 2008 54724 relations (16675 full + 38049 combined from 565949 partial), need 54497 Wed Mar 19 10:18:35 2008 begin with 582624 relations Wed Mar 19 10:18:35 2008 reduce to 126334 relations in 10 passes Wed Mar 19 10:18:35 2008 attempting to read 126334 relations Wed Mar 19 10:18:39 2008 recovered 126334 relations Wed Mar 19 10:18:39 2008 recovered 104312 polynomials Wed Mar 19 10:18:39 2008 attempting to build 54724 cycles Wed Mar 19 10:18:39 2008 found 54724 cycles in 5 passes Wed Mar 19 10:18:39 2008 distribution of cycle lengths: Wed Mar 19 10:18:39 2008 length 1 : 16675 Wed Mar 19 10:18:39 2008 length 2 : 11194 Wed Mar 19 10:18:39 2008 length 3 : 9660 Wed Mar 19 10:18:39 2008 length 4 : 6962 Wed Mar 19 10:18:39 2008 length 5 : 4369 Wed Mar 19 10:18:39 2008 length 6 : 2716 Wed Mar 19 10:18:39 2008 length 7 : 1554 Wed Mar 19 10:18:39 2008 length 9+: 1594 Wed Mar 19 10:18:39 2008 largest cycle: 17 relations Wed Mar 19 10:18:39 2008 matrix is 54401 x 54724 (11.9 MB) with weight 2911019 (53.19/col) Wed Mar 19 10:18:39 2008 sparse part has weight 2911019 (53.19/col) Wed Mar 19 10:18:39 2008 filtering completed in 3 passes Wed Mar 19 10:18:39 2008 matrix is 49171 x 49235 (10.8 MB) with weight 2634621 (53.51/col) Wed Mar 19 10:18:39 2008 sparse part has weight 2634621 (53.51/col) Wed Mar 19 10:18:40 2008 saving the first 48 matrix rows for later Wed Mar 19 10:18:40 2008 matrix is 49123 x 49235 (6.5 MB) with weight 2016709 (40.96/col) Wed Mar 19 10:18:40 2008 sparse part has weight 1406841 (28.57/col) Wed Mar 19 10:18:40 2008 matrix includes 64 packed rows Wed Mar 19 10:18:40 2008 commencing Lanczos iteration Wed Mar 19 10:18:40 2008 memory use: 8.4 MB Wed Mar 19 10:20:19 2008 lanczos halted after 778 iterations (dim = 49121) Wed Mar 19 10:20:20 2008 recovered 17 nontrivial dependencies Wed Mar 19 10:20:21 2008 prp33 factor: 113861384206662076954599416574707 Wed Mar 19 10:20:21 2008 prp53 factor: 17869404599998095262189940211282723567677418286716373 Wed Mar 19 10:20:21 2008 elapsed time 00:49:00
(14·10¹²⁶-23)/9 = 1(5)₁₂₅3_<127> = 1096928051_<10> · 12498625107494737_<17> · C102
C102 = P42 · P60
P42 = 363241471005671447535513678139960218287887_<42>
P60 = 312355901867046413627024946541023325632565835499451550899237_<60>

Number: 15553_126 N=113460617271489095821001999614229916567009542616345391734366387186548576373031471892411915187394642219 ( 102 digits) SNFS difficulty: 127 digits. Divisors found: r1=363241471005671447535513678139960218287887 (pp42) r2=312355901867046413627024946541023325632565835499451550899237 (pp60) Version: GGNFS-0.77.1-20060513-k8 Total time: 3.44 hours. Scaled time: 6.89 units (timescale=2.004). Factorization parameters were as follows: name: 15553_126 n: 113460617271489095821001999614229916567009542616345391734366387186548576373031471892411915187394642219 m: 10000000000000000000000000 c5: 140 c0: -23 skew: 0.7 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:49098, AFBsize:63933, largePrimes:2213987 encountered Relations: rels:2276628, finalFF:160025 Max relations in full relation-set: 28 Initial matrix: 113098 x 160025 with sparse part having weight 16087550. Pruned matrix : 105821 x 106450 with weight 8492782. Total sieving time: 3.25 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 3.44 hours. --------- CPU info (if available) ----------
(14·10¹¹²-23)/9 = 1(5)₁₁₁3_<113> = 19421 · 8916931 · 2328765211_<10> · C92
C92 = P37 · P55
P37 = 8602097249074871783783820192981298307_<37>
P55 = 4484029687158018042424643794202980992275372478191873239_<55>

Wed Mar 19 10:47:13 2008 Msieve v. 1.33 Wed Mar 19 10:47:13 2008 random seeds: 40f75615 29c48224 Wed Mar 19 10:47:13 2008 factoring 38572059436672044932250519700222956042161785286721937826457048311314788122676721518589306373 (92 digits) Wed Mar 19 10:47:14 2008 searching for 15-digit factors Wed Mar 19 10:47:16 2008 commencing quadratic sieve (92-digit input) Wed Mar 19 10:47:16 2008 using multiplier of 5 Wed Mar 19 10:47:16 2008 using 64kb Pentium 4 sieve core Wed Mar 19 10:47:16 2008 sieve interval: 18 blocks of size 65536 Wed Mar 19 10:47:16 2008 processing polynomials in batches of 6 Wed Mar 19 10:47:16 2008 using a sieve bound of 1821679 (68077 primes) Wed Mar 19 10:47:16 2008 using large prime bound of 198563011 (27 bits) Wed Mar 19 10:47:16 2008 using double large prime bound of 863409753664201 (42-50 bits) Wed Mar 19 10:47:16 2008 using trial factoring cutoff of 50 bits Wed Mar 19 10:47:16 2008 polynomial 'A' values have 12 factors Wed Mar 19 14:27:08 2008 68403 relations (17106 full + 51297 combined from 870879 partial), need 68173 Wed Mar 19 14:27:11 2008 begin with 887985 relations Wed Mar 19 14:27:12 2008 reduce to 174296 relations in 10 passes Wed Mar 19 14:27:12 2008 attempting to read 174296 relations Wed Mar 19 14:27:17 2008 recovered 174296 relations Wed Mar 19 14:27:17 2008 recovered 156172 polynomials Wed Mar 19 14:27:18 2008 attempting to build 68403 cycles Wed Mar 19 14:27:18 2008 found 68403 cycles in 6 passes Wed Mar 19 14:27:18 2008 distribution of cycle lengths: Wed Mar 19 14:27:18 2008 length 1 : 17106 Wed Mar 19 14:27:18 2008 length 2 : 12193 Wed Mar 19 14:27:18 2008 length 3 : 11888 Wed Mar 19 14:27:18 2008 length 4 : 9338 Wed Mar 19 14:27:18 2008 length 5 : 6854 Wed Mar 19 14:27:18 2008 length 6 : 4505 Wed Mar 19 14:27:18 2008 length 7 : 2791 Wed Mar 19 14:27:18 2008 length 9+: 3728 Wed Mar 19 14:27:18 2008 largest cycle: 22 relations Wed Mar 19 14:27:18 2008 matrix is 68077 x 68403 (17.0 MB) with weight 4177014 (61.06/col) Wed Mar 19 14:27:18 2008 sparse part has weight 4177014 (61.06/col) Wed Mar 19 14:27:19 2008 filtering completed in 3 passes Wed Mar 19 14:27:19 2008 matrix is 64492 x 64556 (16.1 MB) with weight 3955024 (61.27/col) Wed Mar 19 14:27:19 2008 sparse part has weight 3955024 (61.27/col) Wed Mar 19 14:27:20 2008 saving the first 48 matrix rows for later Wed Mar 19 14:27:20 2008 matrix is 64444 x 64556 (9.5 MB) with weight 3034679 (47.01/col) Wed Mar 19 14:27:20 2008 sparse part has weight 2092995 (32.42/col) Wed Mar 19 14:27:20 2008 matrix includes 64 packed rows Wed Mar 19 14:27:20 2008 using block size 21845 for processor cache size 512 kB Wed Mar 19 14:27:21 2008 commencing Lanczos iteration Wed Mar 19 14:27:21 2008 memory use: 9.6 MB Wed Mar 19 14:27:59 2008 lanczos halted after 1020 iterations (dim = 64444) Wed Mar 19 14:28:00 2008 recovered 18 nontrivial dependencies Wed Mar 19 14:28:00 2008 prp37 factor: 8602097249074871783783820192981298307 Wed Mar 19 14:28:00 2008 prp55 factor: 4484029687158018042424643794202980992275372478191873239 Wed Mar 19 14:28:00 2008 elapsed time 03:40:47
(14·10¹²⁸-23)/9 = 1(5)₁₂₇3_<129> = 3³ · 10490799089_<11> · 10003931977271_<14> · C104
C104 = P33 · P72
P33 = 187409363464363718474869100062621_<33>
P72 = 292921450878592546975162520988878794100375547144807005806036350434938361_<72>

Number: 15553_128 N=54896222654214913716199732368230513011479825410843239174868664298416887368955153223689788344131375104181 ( 104 digits) SNFS difficulty: 129 digits. Divisors found: r1=187409363464363718474869100062621 (pp33) r2=292921450878592546975162520988878794100375547144807005806036350434938361 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.79 hours. Scaled time: 11.55 units (timescale=1.996). Factorization parameters were as follows: name: 15553_128 n: 54896222654214913716199732368230513011479825410843239174868664298416887368955153223689788344131375104181 m: 20000000000000000000000000 c5: 875 c0: -46 skew: 0.55 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1150001) Primes: RFBsize:63951, AFBsize:63723, largePrimes:1580931 encountered Relations: rels:1611418, finalFF:193201 Max relations in full relation-set: 28 Initial matrix: 127740 x 193201 with sparse part having weight 17142434. Pruned matrix : 111485 x 112187 with weight 8144756. Total sieving time: 5.60 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 5.79 hours. --------- CPU info (if available) ----------
(14·10¹²⁹-23)/9 = 1(5)₁₂₈3_<130> = C130
C130 = P46 · P84
P46 = 5749413403024550933574604752036293641351380377_<46>
P84 = 270559002547500945368356658064162976416834648929786395630819569640571746923377726089_<84>

Number: 15553_129 N=1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 ( 130 digits) SNFS difficulty: 130 digits. Divisors found: r1=5749413403024550933574604752036293641351380377 (pp46) r2=270559002547500945368356658064162976416834648929786395630819569640571746923377726089 (pp84) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.45 hours. Scaled time: 8.83 units (timescale=1.986). Factorization parameters were as follows: name: 15553_129 n: 1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 m: 100000000000000000000000000 c5: 7 c0: -115 skew: 1.75 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 950001) Primes: RFBsize:63951, AFBsize:64213, largePrimes:1449116 encountered Relations: rels:1418473, finalFF:143850 Max relations in full relation-set: 28 Initial matrix: 128229 x 143850 with sparse part having weight 10566283. Pruned matrix : 124066 x 124771 with weight 7799437. Total sieving time: 4.26 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.09 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.45 hours. --------- CPU info (if available) ----------
(14·10¹¹⁸-23)/9 = 1(5)₁₁₇3_<119> = 331068349 · 5144266036542673_<16> · C94
C94 = P40 · P55
P40 = 4090898917791232952071545697006570921621_<40>
P55 = 2232675951016315988867127284632626987970566041942101009_<55>

Wed Mar 19 14:37:35 2008 Msieve v. 1.33 Wed Mar 19 14:37:35 2008 random seeds: f6411e96 e5f28ecf Wed Mar 19 14:37:35 2008 factoring 9133651631791158911928100522746171669608341045686510741665627960105811317649914017350204015589 (94 digits) Wed Mar 19 14:37:37 2008 searching for 15-digit factors Wed Mar 19 14:37:39 2008 commencing quadratic sieve (94-digit input) Wed Mar 19 14:37:39 2008 using multiplier of 21 Wed Mar 19 14:37:39 2008 using 64kb Pentium 4 sieve core Wed Mar 19 14:37:39 2008 sieve interval: 18 blocks of size 65536 Wed Mar 19 14:37:39 2008 processing polynomials in batches of 6 Wed Mar 19 14:37:39 2008 using a sieve bound of 2093807 (77340 primes) Wed Mar 19 14:37:39 2008 using large prime bound of 297320594 (28 bits) Wed Mar 19 14:37:39 2008 using double large prime bound of 1785685485840044 (42-51 bits) Wed Mar 19 14:37:39 2008 using trial factoring cutoff of 51 bits Wed Mar 19 14:37:39 2008 polynomial 'A' values have 12 factors Wed Mar 19 21:09:10 2008 77649 relations (18843 full + 58806 combined from 1137793 partial), need 77436 Wed Mar 19 21:09:14 2008 begin with 1156636 relations Wed Mar 19 21:09:16 2008 reduce to 203477 relations in 12 passes Wed Mar 19 21:09:16 2008 attempting to read 203477 relations Wed Mar 19 21:09:22 2008 recovered 203477 relations Wed Mar 19 21:09:22 2008 recovered 189051 polynomials Wed Mar 19 21:09:23 2008 attempting to build 77649 cycles Wed Mar 19 21:09:23 2008 found 77648 cycles in 5 passes Wed Mar 19 21:09:23 2008 distribution of cycle lengths: Wed Mar 19 21:09:23 2008 length 1 : 18843 Wed Mar 19 21:09:23 2008 length 2 : 13506 Wed Mar 19 21:09:23 2008 length 3 : 13112 Wed Mar 19 21:09:23 2008 length 4 : 10424 Wed Mar 19 21:09:23 2008 length 5 : 7886 Wed Mar 19 21:09:23 2008 length 6 : 5463 Wed Mar 19 21:09:23 2008 length 7 : 3500 Wed Mar 19 21:09:23 2008 length 9+: 4914 Wed Mar 19 21:09:23 2008 largest cycle: 19 relations Wed Mar 19 21:09:23 2008 matrix is 77340 x 77648 (21.5 MB) with weight 5315713 (68.46/col) Wed Mar 19 21:09:23 2008 sparse part has weight 5315713 (68.46/col) Wed Mar 19 21:09:25 2008 filtering completed in 3 passes Wed Mar 19 21:09:25 2008 matrix is 73810 x 73874 (20.5 MB) with weight 5076979 (68.72/col) Wed Mar 19 21:09:25 2008 sparse part has weight 5076979 (68.72/col) Wed Mar 19 21:09:26 2008 saving the first 48 matrix rows for later Wed Mar 19 21:09:26 2008 matrix is 73762 x 73874 (14.4 MB) with weight 4199014 (56.84/col) Wed Mar 19 21:09:26 2008 sparse part has weight 3337062 (45.17/col) Wed Mar 19 21:09:26 2008 matrix includes 64 packed rows Wed Mar 19 21:09:26 2008 using block size 21845 for processor cache size 512 kB Wed Mar 19 21:09:27 2008 commencing Lanczos iteration Wed Mar 19 21:09:27 2008 memory use: 13.0 MB Wed Mar 19 21:10:26 2008 lanczos halted after 1168 iterations (dim = 73758) Wed Mar 19 21:10:27 2008 recovered 16 nontrivial dependencies Wed Mar 19 21:10:28 2008 prp40 factor: 4090898917791232952071545697006570921621 Wed Mar 19 21:10:28 2008 prp55 factor: 2232675951016315988867127284632626987970566041942101009 Wed Mar 19 21:10:28 2008 elapsed time 06:32:53
(14·10¹³⁵-23)/9 = 1(5)₁₃₄3_<136> = C136
C136 = P36 · P100
P36 = 421082122543377471948099040072049191_<36>
P100 = 3694185699834148430250517608597883013280312326005666129435829336555704216470266353772323806409529783_<100>

Number: 15553_135 N=1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 ( 136 digits) SNFS difficulty: 136 digits. Divisors found: r1=421082122543377471948099040072049191 (pp36) r2=3694185699834148430250517608597883013280312326005666129435829336555704216470266353772323806409529783 (pp100) Version: GGNFS-0.77.1-20060513-k8 Total time: 6.90 hours. Scaled time: 13.68 units (timescale=1.983). Factorization parameters were as follows: name: 15553_135 n: 1555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 m: 1000000000000000000000000000 c5: 14 c0: -23 skew: 1.1 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1225001) Primes: RFBsize:78498, AFBsize:63993, largePrimes:1583247 encountered Relations: rels:1614463, finalFF:201783 Max relations in full relation-set: 28 Initial matrix: 142559 x 201783 with sparse part having weight 16529259. Pruned matrix : 124806 x 125582 with weight 8623929. Total sieving time: 6.66 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.11 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 6.90 hours. --------- CPU info (if available) ----------
Mar 19, 2008 (2nd): By Jo Yeong Uk / GMP-ECM, Msieve, GGNFS
(14·10¹⁴³-23)/9 = 1(5)₁₄₂3_<144> = 3 · 22139693374793_<14> · C130
C130 = P31 · P99
P31 = 4033985856450760851705573910811_<31>
P99 = 580574956790360292326396245650795930374736048470567567465451678105744062669016644038536851027792137_<99>
(14·10¹⁴⁷-23)/9 = 1(5)₁₄₆3_<148> = 179 · 415957 · 16374811 · 653133609550067634665059_<24> · C109
C109 = P29 · P35 · P45
P29 = 56584859883732260957279040013_<29>
P35 = 80733674721485964418028247214298861_<35>
P45 = 427612866165966729085518073472242602764976743_<45>

Wed Mar 19 10:25:07 2008 Wed Mar 19 10:25:07 2008 Wed Mar 19 10:25:07 2008 Msieve v. 1.32 Wed Mar 19 10:25:07 2008 random seeds: f8d730fa 637ad895 Wed Mar 19 10:25:07 2008 factoring 34522758043765468944146280720649561007338052832042965993511737760269487716389723 (80 digits) Wed Mar 19 10:25:07 2008 no P-1/P+1/ECM available, skipping Wed Mar 19 10:25:07 2008 commencing quadratic sieve (80-digit input) Wed Mar 19 10:25:07 2008 using multiplier of 13 Wed Mar 19 10:25:07 2008 using 32kb Intel Core sieve core Wed Mar 19 10:25:07 2008 sieve interval: 12 blocks of size 32768 Wed Mar 19 10:25:07 2008 processing polynomials in batches of 17 Wed Mar 19 10:25:07 2008 using a sieve bound of 1255967 (48647 primes) Wed Mar 19 10:25:07 2008 using large prime bound of 125596700 (26 bits) Wed Mar 19 10:25:07 2008 using trial factoring cutoff of 27 bits Wed Mar 19 10:25:07 2008 polynomial 'A' values have 10 factors Wed Mar 19 10:36:44 2008 48821 relations (25337 full + 23484 combined from 262308 partial), need 48743 Wed Mar 19 10:36:44 2008 begin with 287645 relations Wed Mar 19 10:36:44 2008 reduce to 69412 relations in 2 passes Wed Mar 19 10:36:44 2008 attempting to read 69412 relations Wed Mar 19 10:36:45 2008 recovered 69412 relations Wed Mar 19 10:36:45 2008 recovered 58119 polynomials Wed Mar 19 10:36:45 2008 attempting to build 48821 cycles Wed Mar 19 10:36:45 2008 found 48821 cycles in 1 passes Wed Mar 19 10:36:45 2008 distribution of cycle lengths: Wed Mar 19 10:36:45 2008 length 1 : 25337 Wed Mar 19 10:36:45 2008 length 2 : 23484 Wed Mar 19 10:36:45 2008 largest cycle: 2 relations Wed Mar 19 10:36:45 2008 matrix is 48647 x 48821 with weight 1508644 (avg 30.90/col) Wed Mar 19 10:36:45 2008 filtering completed in 4 passes Wed Mar 19 10:36:45 2008 matrix is 41292 x 41356 with weight 1250071 (avg 30.23/col) Wed Mar 19 10:36:45 2008 saving the first 48 matrix rows for later Wed Mar 19 10:36:45 2008 matrix is 41244 x 41356 with weight 912138 (avg 22.06/col) Wed Mar 19 10:36:45 2008 matrix includes 64 packed rows Wed Mar 19 10:36:45 2008 commencing Lanczos iteration Wed Mar 19 10:37:08 2008 lanczos halted after 654 iterations (dim = 41227) Wed Mar 19 10:37:08 2008 recovered 10 nontrivial dependencies Wed Mar 19 10:37:08 2008 prp35 factor: 80733674721485964418028247214298861 Wed Mar 19 10:37:08 2008 prp45 factor: 427612866165966729085518073472242602764976743 Wed Mar 19 10:37:08 2008 elapsed time 00:12:01
(14·10¹⁰⁶-23)/9 = 1(5)₁₀₅3_<107> = 103 · 139 · C103
C103 = P37 · P66
P37 = 9347544516743237437692714740238292837_<37>
P66 = 116234742855085529578876954254245021476557271363549685111789948257_<66>

Number: 15553_106 N=1086509433230114937176472414301568453974684330205738321963788192746773455022389855106206297098243735109 ( 103 digits) SNFS difficulty: 107 digits. Divisors found: r1=9347544516743237437692714740238292837 (pp37) r2=116234742855085529578876954254245021476557271363549685111789948257 (pp66) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.51 hours. Scaled time: 0.95 units (timescale=1.856). Factorization parameters were as follows: n: 1086509433230114937176472414301568453974684330205738321963788192746773455022389855106206297098243735109 m: 1000000000000000000000 c5: 140 c0: -23 skew: 0.7 type: snfs Factor base limits: 360000/360000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [180000, 280001) Primes: RFBsize:30757, AFBsize:30714, largePrimes:977479 encountered Relations: rels:888661, finalFF:78082 Max relations in full relation-set: 28 Initial matrix: 61538 x 78082 with sparse part having weight 3514921. Pruned matrix : 54793 x 55164 with weight 1839048. Total sieving time: 0.49 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,107,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000 total time: 0.51 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110) Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)
(14·10¹¹⁵-23)/9 = 1(5)₁₁₄3_<116> = 13 · 881 · 17189 · C107
C107 = P41 · P67
P41 = 21428391549316742681539165554993157989289_<41>
P67 = 3687449493348667986819089625807553114935732965345671067328548973481_<67>

Number: 15553_115 N=79016111561804901439724518048042668393209341149478405645387815768537964430607278443932418912722354943045009 ( 107 digits) SNFS difficulty: 116 digits. Divisors found: r1=21428391549316742681539165554993157989289 (pp41) r2=3687449493348667986819089625807553114935732965345671067328548973481 (pp67) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.70 hours. Scaled time: 1.29 units (timescale=1.852). Factorization parameters were as follows: n: 79016111561804901439724518048042668393209341149478405645387815768537964430607278443932418912722354943045009 m: 100000000000000000000000 c5: 14 c0: -23 skew: 1.1 type: snfs Factor base limits: 450000/450000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [225000, 350001) Primes: RFBsize:37706, AFBsize:37874, largePrimes:1330452 encountered Relations: rels:1334974, finalFF:152187 Max relations in full relation-set: 28 Initial matrix: 75648 x 152187 with sparse part having weight 10819504. Pruned matrix : 58958 x 59400 with weight 2741608. Total sieving time: 0.66 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.3,2.3,25000 total time: 0.70 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110) Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)
Mar 19, 2008: The factor table of 155...553 was extended to n=200. Those composite numbers had been tested 430 times by GMP-ECM B1=250000. So, unknown prime factors of them are probably greater than 10³⁰.
Mar 18, 2008: By matsui / GGNFS
(5·10¹⁶⁹+7)/3 = 1(6)₁₆₈9_<170> = 269 · 72333221754181_<14> · C153
C153 = P48 · P53 · P54
P48 = 133553343132611065513453492437199063759951936543_<48>
P53 = 41410460248177205270577696479970680990973907664429989_<53>
P54 = 154879464781860811388364739624524998886174833420229623_<54>

N=856561717379015803405657536995682255393219509779765949997691370068391354702603316745078491194928969705420851888432244686858900220387445762659400177323821 ( 153 digits) SNFS difficulty: 170 digits. Divisors found: r1=133553343132611065513453492437199063759951936543 (pp48) r2=41410460248177205270577696479970680990973907664429989 (pp53) r3=154879464781860811388364739624524998886174833420229623 (pp54) Version: GGNFS-0.77.1-20060513-prescott Total time: 129.13 hours. Scaled time: 143.08 units (timescale=1.108). Factorization parameters were as follows: n: 856561717379015803405657536995682255393219509779765949997691370068391354702603316745078491194928969705420851888432244686858900220387445762659400177323821 m: 10000000000000000000000000000000000 c5: 1 c0: 14 skew: 1.7 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 6500001) Primes: RFBsize:412849, AFBsize:412741, largePrimes:5966140 encountered Relations: rels:6244816, finalFF:943149 Max relations in full relation-set: 28 Initial matrix: 825654 x 943149 with sparse part having weight 48340192. Pruned matrix : 725369 x 729561 with weight 34629757. Total sieving time: 117.73 hours. Total relation processing time: 0.14 hours. Matrix solve time: 11.00 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 129.13 hours.
Mar 17, 2008: By Robert Backstrom / GMP-ECM
(13·10¹⁶⁴+41)/9 = 1(4)₁₆₃9_<165> = 1102271 · C159
C159 = P42 · P117
P42 = 310858280205973042295350064207669674079891_<42>
P117 = 421550900452233303155039018641729142102897981293204893760745450029677022449219253781047183543781801689390473334874309_<117>
Mar 16, 2008 (3rd): By matsui / GGNFS
(32·10¹⁶⁵-23)/9 = 3(5)₁₆₄3_<166> = 11 · 19² · 29 · 47 · 7487 · 26065774177_<11> · 65884869659758319_<17> · C128
C128 = P47 · P82
P47 = 30477371599865741466703860063313965404859571013_<47>
P82 = 1676370705983994919127781209659746453528383554471372426173858599217463167063091237_<82>

N=51091372945403489730523310016243629310252962374795853267961684716887552607352787611729710825690056622399766686516174317499513081 ( 128 digits) SNFS difficulty: 166 digits. Divisors found: r1=30477371599865741466703860063313965404859571013 (pp47) r2=1676370705983994919127781209659746453528383554471372426173858599217463167063091237 (pp82) Version: GGNFS-0.77.1-20060513-prescott Total time: 84.17 hours. Scaled time: 143.01 units (timescale=1.699). Factorization parameters were as follows: n: 51091372945403489730523310016243629310252962374795853267961684716887552607352787611729710825690056622399766686516174317499513081 m: 2000000000000000000000000000000000 c5: 1 c0: -23 skew: 1.87 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2500000, 4600001) Primes: RFBsize:348513, AFBsize:348066, largePrimes:5689503 encountered Relations: rels:5841604, finalFF:796947 Max relations in full relation-set: 28 Initial matrix: 696643 x 796947 with sparse part having weight 40407504. Pruned matrix : 610235 x 613782 with weight 27188343. Total sieving time: 79.40 hours. Total relation processing time: 0.14 hours. Matrix solve time: 4.48 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000 total time: 84.17 hours.
Mar 16, 2008 (2nd): By Tyler Cadigan / GGNFS, Msieve
(25·10¹⁸³-1)/3 = 8(3)₁₈₃_<184> = 13 · 264283155301751969_<18> · 3549264066261561396021839666828027_<34> · C132
C132 = P64 · P68
P64 = 8935144544408999776115842763978720444245031871108628792866831079_<64>
P68 = 76483195332826533787093208520476398502764772883004976691618763747133_<68>

Number: 83333_183 N=683388405517072877233927862242245555525777832139299820368098214942685744600601296640806157169483609696082817414193194488909381546507 ( 132 digits) SNFS difficulty: 184 digits. Divisors found: r1=8935144544408999776115842763978720444245031871108628792866831079 r2=76483195332826533787093208520476398502764772883004976691618763747133 Version: Total time: 358.73 hours. Scaled time: 927.31 units (timescale=2.585). Factorization parameters were as follows: n: 683388405517072877233927862242245555525777832139299820368098214942685744600601296640806157169483609696082817414193194488909381546507 m: 5000000000000000000000000000000000000 c5: 8 c0: -1 skew: 0.66 type: snfs Y0: -5000000000000000000000000000000000000 Y1: 1Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 9700001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 896227 x 896475 Total sieving time: 358.73 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 358.73 hours. --------- CPU info (if available) ----------
Mar 16, 2008: By Jo Yeong Uk / GGNFS
(13·10¹⁵⁶+41)/9 = 1(4)₁₅₅9_<157> = 3² · 945224161592701729_<18> · 78240352765175835206467754968382924481389_<41> · C97
C97 = P35 · P62
P35 = 56811743013055887298662901382398663_<35>
P62 = 38199229693458428198506848714264339346199481273611746416402587_<62>

Number: 14449_156 N=2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181 ( 97 digits) Divisors found: r1=56811743013055887298662901382398663 (pp35) r2=38199229693458428198506848714264339346199481273611746416402587 (pp62) Version: GGNFS-0.77.1-20050930-nocona Total time: 5.13 hours. Scaled time: 9.54 units (timescale=1.859). Factorization parameters were as follows: name: 14449_156 n: 2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181 m: 1296386468790859477 deg: 5 c5: 592680 c4: 2039452145 c3: -70890504460049 c2: -17771658792168670 c1: 66587067320650168689 c0: 30394714584259330224570 skew: 1379.250 type: gnfs # adj. I(F,S) = 47.320 # E(F1,F2) = 4.478483e-03 # GGNFS version 0.77.1-20050930-nocona polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=58.00000000, seed=1205573568. # maxskew=1500.0 # These parameters should be manually set: rlim: 1300000 alim: 1300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [650000, 1450001) Primes: RFBsize:100021, AFBsize:99767, largePrimes:3951704 encountered Relations: rels:3905347, finalFF:266868 Max relations in full relation-set: 28 Initial matrix: 199871 x 266868 with sparse part having weight 26369457. Pruned matrix : 169463 x 170526 with weight 14580729. Polynomial selection time: 0.28 hours. Total sieving time: 4.61 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.11 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000 total time: 5.13 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110) Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)
Mar 15, 2008 (2nd): By Robert Backstrom / GMP-ECM
(13·10¹⁵⁹+41)/9 = 1(4)₁₅₈9_<160> = 3 · 7 · C158
C158 = P36 · P123
P36 = 323994497004687485543951803426936081_<36>
P123 = 212297027940180242688781043672877820471173117695010579301262769776723616074689965201258808111992813367497457405314499547149_<123>
Mar 15, 2008: By Sinkiti Sibata / GGNFS, GMP-ECM
(13·10¹⁴⁴+41)/9 = 1(4)₁₄₃9_<145> = 3 · 113 · C142
C142 = P33 · P43 · P67
P33 = 383015513599750490805951630014399_<33>
P43 = 5624483396558590000322516765930782632188359_<43>
P67 = 1977890027058051288896753962852997307409954782630180176907476871251_<67>

Number: 14449_144 N=4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491 ( 142 digits) SNFS difficulty: 146 digits. Divisors found: r1=383015513599750490805951630014399 (pp33) r2=5624483396558590000322516765930782632188359 (pp43) r3=1977890027058051288896753962852997307409954782630180176907476871251 (pp67) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 29.36 hours. Scaled time: 19.79 units (timescale=0.674). Factorization parameters were as follows: name: 14449_144 n: 4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491 m: 100000000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 3550001) Primes: RFBsize:114155, AFBsize:114263, largePrimes:2973559 encountered Relations: rels:2997988, finalFF:273808 Max relations in full relation-set: 28 Initial matrix: 228483 x 273808 with sparse part having weight 31696103. Pruned matrix : 215545 x 216751 with weight 23512675. Total sieving time: 27.25 hours. Total relation processing time: 0.22 hours. Matrix solve time: 1.78 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 29.36 hours. --------- CPU info (if available) ----------
(11·10¹⁹⁹+61)/9 = 1(2)₁₉₈9_<200> = 19 · 449 · C196
C196 = P31 · C165
P31 = 3841095258017395523843912468543_<31>
C165 = [372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313_<165>]
Mar 14, 2008 (4th): By Jo Yeong Uk / GMP-ECM
(13·10¹⁵⁶+41)/9 = 1(4)₁₅₅9_<157> = 3² · 945224161592701729_<18> · C138
C138 = P41 · C97
P41 = 78240352765175835206467754968382924481389_<41>
C97 = [2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181_<97>]
Mar 14, 2008 (3rd): By Robert Backstrom / GGNFS
(13·10¹⁶¹+23)/9 = 1(4)₁₆₀7_<162> = 3³ · 17 · 103 · 1724029 · 46124385028404659193551_<23> · C128
C128 = P62 · P67
P62 = 19676012510318678785250017004699445567484314567847182516372343_<62>
P67 = 1952714211361224583977547309784021653764745429767765757488007042063_<67>

Number: n N=38421629251820527636078806431119924133505460598130764167098822263247643780007103800496891083800862720674047482882007176570863609 ( 128 digits) SNFS difficulty: 162 digits. Divisors found: Fri Mar 14 19:16:14 2008 prp62 factor: 19676012510318678785250017004699445567484314567847182516372343 Fri Mar 14 19:16:14 2008 prp67 factor: 1952714211361224583977547309784021653764745429767765757488007042063 Fri Mar 14 19:16:14 2008 elapsed time 01:25:31 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 60.45 hours. Scaled time: 106.09 units (timescale=1.755). Factorization parameters were as follows: name: KA_1_4_160_7 n: 38421629251820527636078806431119924133505460598130764167098822263247643780007103800496891083800862720674047482882007176570863609 type: snfs skew: 0.71 deg: 5 c5: 130 c0: 23 m: 100000000000000000000000000000000 rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 3000161) Primes: RFBsize:203362, AFBsize:203442, largePrimes:7433398 encountered Relations: rels:6842408, finalFF:440642 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 60.18 hours. Total relation processing time: 0.27 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000 total time: 60.45 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Mar 14, 2008 (2nd): By Sinkiti Sibata / GGNFS
(13·10¹³⁹+41)/9 = 1(4)₁₃₈9_<140> = 7237 · C136
C136 = P37 · P45 · P55
P37 = 1080444914227488251714735602663923887_<37>
P45 = 310581946039662137936555730848539967041553081_<45>
P55 = 5947896926520727366907749778159525455328262786721888891_<55>

Number: 14449_139 N=1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677 ( 136 digits) SNFS difficulty: 141 digits. Divisors found: r1=1080444914227488251714735602663923887 (pp37) r2=310581946039662137936555730848539967041553081 (pp45) r3=5947896926520727366907749778159525455328262786721888891 (pp55) Version: GGNFS-0.77.1-20060513-k8 Total time: 14.24 hours. Scaled time: 28.50 units (timescale=2.001). Factorization parameters were as follows: name: 14449_139 n: 1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677 m: 10000000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 2150001) Primes: RFBsize:100021, AFBsize:100074, largePrimes:2804952 encountered Relations: rels:2798715, finalFF:256766 Max relations in full relation-set: 28 Initial matrix: 200160 x 256766 with sparse part having weight 26772641. Pruned matrix : 184200 x 185264 with weight 17454800. Total sieving time: 13.62 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.42 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 14.24 hours. --------- CPU info (if available) ----------
(13·10¹⁴⁹+41)/9 = 1(4)₁₄₈9_<150> = 17 · C148
C148 = P72 · P77
P72 = 137347660736329540541751855501034585413185542247087385476267638114996691_<72>
P77 = 61862954058280063245229953724726901319795857549507692379899427183521908512267_<77>

Number: 14449_149 N=8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497 ( 148 digits) SNFS difficulty: 151 digits. Divisors found: r1=137347660736329540541751855501034585413185542247087385476267638114996691 (pp72) r2=61862954058280063245229953724726901319795857549507692379899427183521908512267 (pp77) Version: GGNFS-0.77.1-20060513-k8 Total time: 25.99 hours. Scaled time: 50.86 units (timescale=1.957). Factorization parameters were as follows: name: 14449_149 n: 8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497 m: 1000000000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2100001) Primes: RFBsize:176302, AFBsize:175984, largePrimes:5486687 encountered Relations: rels:5319822, finalFF:408667 Max relations in full relation-set: 28 Initial matrix: 352351 x 408667 with sparse part having weight 36707080. Pruned matrix : 328589 x 330414 with weight 26026219. Total sieving time: 24.40 hours. Total relation processing time: 0.13 hours. Matrix solve time: 1.30 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 25.99 hours. --------- CPU info (if available) ----------
Mar 14, 2008: By matsui / GGNFS
2·10¹⁶⁵-9 = 1(9)₁₆₄1_<166> = 11 · 457527644458064916785243595451_<30> · C135
C135 = P50 · P86
P50 = 10380464989853334806493414428274868458216509448469_<50>
P86 = 38282753110901991590906115105218234489358257188870210443245138602465182775068426383299_<86>

N=397392778382916963637700048853965083487465415508744847291870178477993817516199866163976430024051422843226002208841256962925794882719231 ( 135 digits) SNFS difficulty: 165 digits. Divisors found: r1=10380464989853334806493414428274868458216509448469 (pp50) r2=38282753110901991590906115105218234489358257188870210443245138602465182775068426383299 (pp86) Version: GGNFS-0.77.1-20060513-prescott Total time: 59.33 hours. Scaled time: 68.94 units (timescale=1.162). Factorization parameters were as follows: n: 397392778382916963637700048853965083487465415508744847291870178477993817516199866163976430024051422843226002208841256962925794882719231 m: 1000000000000000000000000000000000 c5: 2 c0: -9 skew: 1.35 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2500000, 4800001) Primes: RFBsize:348513, AFBsize:348526, largePrimes:5812903 encountered Relations: rels:6016526, finalFF:840605 Max relations in full relation-set: 28 Initial matrix: 697104 x 840605 with sparse part having weight 45363679. Pruned matrix : 575958 x 579507 with weight 29914315. Total sieving time: 52.99 hours. Total relation processing time: 0.09 hours. Matrix solve time: 6.00 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000 total time: 59.33 hours.
Mar 13, 2008 (2nd): By Robert Backstrom / GGNFS, Msieve
(13·10¹²⁸+41)/9 = 1(4)₁₂₇9_<129> = C129
C129 = P63 · P66
P63 = 879276544604910226814961729129827481250658463712668818370122309_<63>
P66 = 164276467205602984226476216588935499461222868575837590383237340461_<66>

Number: n N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 ( 129 digits) SNFS difficulty: 129 digits. Divisors found: Thu Mar 13 15:18:03 2008 prp63 factor: 879276544604910226814961729129827481250658463712668818370122309 Thu Mar 13 15:18:03 2008 prp66 factor: 164276467205602984226476216588935499461222868575837590383237340461 Thu Mar 13 15:18:03 2008 elapsed time 00:11:24 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 3.16 hours. Scaled time: 2.64 units (timescale=0.837). Factorization parameters were as follows: name: KA_1_4_127_9 n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 type: snfs deg: 5 c5: 13000 c0: 41 skew: 0.32 m: 10000000000000000000000000 rlim: 800000 alim: 800000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved special-q in [100000, 650833) Primes: RFBsize:63951, AFBsize:63689, largePrimes:1559983 encountered Relations: rels:1533763, finalFF:136673 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 3.08 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.5,2.5,50000 total time: 3.16 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
Mar 13, 2008: By Sinkiti Sibata / GGNFS
(13·10¹²⁹+41)/9 = 1(4)₁₂₈9_<130> = 3² · 7 · 83 · 677 · 2287 · 506887362987697_<15> · C105
C105 = P39 · P66
P39 = 403320046055777109046610052427009389053_<39>
P66 = 872702249677073427449981915399492394603014246802684484605353730059_<66>

Number: 14449_129 N=351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127 ( 105 digits) SNFS difficulty: 131 digits. Divisors found: r1=403320046055777109046610052427009389053 (pp39) r2=872702249677073427449981915399492394603014246802684484605353730059 (pp66) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 6.68 hours. Scaled time: 4.51 units (timescale=0.675). Factorization parameters were as follows: name: 14449_129 n: 351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127 m: 100000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1100001) Primes: RFBsize:63951, AFBsize:63919, largePrimes:1499538 encountered Relations: rels:1486985, finalFF:157544 Max relations in full relation-set: 28 Initial matrix: 127935 x 157544 with sparse part having weight 12577546. Pruned matrix : 119718 x 120421 with weight 7910460. Total sieving time: 6.28 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.26 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 6.68 hours. --------- CPU info (if available) ----------
(13·10¹⁴³+41)/9 = 1(4)₁₄₂9_<144> = 547 · 4261 · 83933 · 101654957 · C124
C124 = P33 · P37 · P55
P33 = 468058260349480289619458523204589_<33>
P37 = 4838491154143931941878764558030793391_<37>
P55 = 3207235198502778015162165152178878034108309665144891213_<55>

Number: 14449_143 N=7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687 ( 124 digits) SNFS difficulty: 144 digits. Divisors found: r1=468058260349480289619458523204589 (pp33) r2=4838491154143931941878764558030793391 (pp37) r3=3207235198502778015162165152178878034108309665144891213 (pp55) Version: GGNFS-0.77.1-20060513-k8 Total time: 26.76 hours. Scaled time: 53.26 units (timescale=1.990). Factorization parameters were as follows: name: 14449_143 n: 7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687 m: 10000000000000000000000000000 c5: 13000 c0: 41 skew: 0.32 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 3750001) Primes: RFBsize:100021, AFBsize:99689, largePrimes:3101893 encountered Relations: rels:3216219, finalFF:250113 Max relations in full relation-set: 28 Initial matrix: 199777 x 250113 with sparse part having weight 32911341. Pruned matrix : 187996 x 189058 with weight 23930321. Total sieving time: 26.00 hours. Total relation processing time: 0.17 hours. Matrix solve time: 0.49 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 26.76 hours. --------- CPU info (if available) ----------
(13·10¹³³+41)/9 = 1(4)₁₃₂9_<134> = 17 · 6596820397_<10> · 2010236816539094083_<19> · C104
C104 = P42 · P63
P42 = 517649884092539390536611188644180047608897_<42>
P63 = 123775280010902446150077540889220597396514583675408960720813351_<63>

Number: 14449_133 N=64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847 ( 104 digits) SNFS difficulty: 134 digits. Divisors found: r1=517649884092539390536611188644180047608897 (pp42) r2=123775280010902446150077540889220597396514583675408960720813351 (pp63) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 12.38 hours. Scaled time: 8.34 units (timescale=0.674). Factorization parameters were as follows: name: 14449_133 n: 64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847 m: 100000000000000000000000000 c5: 13000 c0: 41 skew: 0.32 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1675001) Primes: RFBsize:78498, AFBsize:63689, largePrimes:1620424 encountered Relations: rels:1639559, finalFF:180627 Max relations in full relation-set: 28 Initial matrix: 142254 x 180627 with sparse part having weight 17980539. Pruned matrix : 131501 x 132276 with weight 11572853. Total sieving time: 11.67 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.53 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 12.38 hours. --------- CPU info (if available) ----------
(13·10¹³⁸+41)/9 = 1(4)₁₃₇9_<139> = 3² · 991 · 3784737996862957_<16> · C119
C119 = P38 · P82
P38 = 39275505097585155078710771613618699661_<38>
P82 = 1089499611449474155941188972488893793360282827843797035637321410126382085780847823_<82>

Number: 14449_138 N=42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003 ( 119 digits) SNFS difficulty: 139 digits. Divisors found: r1=39275505097585155078710771613618699661 (pp38) r2=1089499611449474155941188972488893793360282827843797035637321410126382085780847823 (pp82) Version: GGNFS-0.77.1-20060513-k8 Total time: 19.87 hours. Scaled time: 39.73 units (timescale=1.999). Factorization parameters were as follows: name: 14449_138 n: 42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003 m: 1000000000000000000000000000 c5: 13000 c0: 41 skew: 0.32 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 3175001) Primes: RFBsize:78498, AFBsize:63689, largePrimes:1805783 encountered Relations: rels:1896587, finalFF:166064 Max relations in full relation-set: 28 Initial matrix: 142254 x 166064 with sparse part having weight 21301289. Pruned matrix : 137347 x 138122 with weight 16677403. Total sieving time: 19.49 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.19 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 19.87 hours. --------- CPU info (if available) ----------
Mar 12, 2008 (5th): By Sinkiti Sibata / GGNFS
(13·10¹¹²+41)/9 = 1(4)₁₁₁9_<113> = 307 · C110
C110 = P46 · P64
P46 = 8572768217428917273838004418010090479942244487_<46>
P64 = 5488344773042031843138651813870233083606331551067207445911659661_<64>

Number: 14449_112 N=47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907 ( 110 digits) SNFS difficulty: 113 digits. Divisors found: r1=8572768217428917273838004418010090479942244487 (pp46) r2=5488344773042031843138651813870233083606331551067207445911659661 (pp64) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.81 hours. Scaled time: 1.20 units (timescale=0.666). Factorization parameters were as follows: name: 14449_112 n: 47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907 m: 10000000000000000000000 c5: 1300 c0: 41 skew: 0.5 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:64309, largePrimes:2003845 encountered Relations: rels:2009047, finalFF:176679 Max relations in full relation-set: 28 Initial matrix: 113474 x 176679 with sparse part having weight 13565947. Pruned matrix : 92176 x 92807 with weight 4749967. Total sieving time: 1.60 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.11 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.81 hours. --------- CPU info (if available) ----------
(13·10¹²⁵+41)/9 = 1(4)₁₂₄9_<126> = 1554391 · 2591023 · C113
C113 = P39 · P74
P39 = 381289435910446427225910525930919899803_<39>
P74 = 94062069350457232819353561152321954296011723467198330678707421280406128331_<74>

Number: 14449_125 N=35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793 ( 113 digits) SNFS difficulty: 126 digits. Divisors found: r1=381289435910446427225910525930919899803 (pp39) r2=94062069350457232819353561152321954296011723467198330678707421280406128331 (pp74) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.79 hours. Scaled time: 5.59 units (timescale=2.001). Factorization parameters were as follows: name: 14449_125 n: 35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793 m: 10000000000000000000000000 c5: 13 c0: 41 skew: 1.26 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 650001) Primes: RFBsize:49098, AFBsize:64124, largePrimes:2267632 encountered Relations: rels:2464267, finalFF:301761 Max relations in full relation-set: 28 Initial matrix: 113289 x 301761 with sparse part having weight 29886474. Pruned matrix : 84010 x 84640 with weight 7199058. Total sieving time: 2.63 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.04 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.79 hours. --------- CPU info (if available) ----------
(13·10¹²⁶+41)/9 = 1(4)₁₂₅9_<127> = 3 · 15605633977681604575639_<23> · C104
C104 = P42 · P62
P42 = 904847641670711020711019082822834496093841_<42>
P62 = 34097513719109247682145677399500333906397624571462875526708317_<62>

Number: 14449_126 N=30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597 ( 104 digits) SNFS difficulty: 127 digits. Divisors found: r1=904847641670711020711019082822834496093841 (pp42) r2=34097513719109247682145677399500333906397624571462875526708317 (pp62) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.69 hours. Scaled time: 9.36 units (timescale=1.995). Factorization parameters were as follows: name: 14449_126 n: 30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597 m: 10000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 850001) Primes: RFBsize:49098, AFBsize:63954, largePrimes:2306923 encountered Relations: rels:2474799, finalFF:204406 Max relations in full relation-set: 28 Initial matrix: 113119 x 204406 with sparse part having weight 22772454. Pruned matrix : 98877 x 99506 with weight 9226871. Total sieving time: 4.48 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.07 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 4.69 hours. --------- CPU info (if available) ----------
(13·10¹²⁴+41)/9 = 1(4)₁₂₃9_<125> = 59 · 3203 · C119
C119 = P31 · P41 · P48
P31 = 5175757663323323463917452916699_<31>
P41 = 87280545998199448610509108990088503350991_<41>
P48 = 169200056742758350400056102242352593752657930093_<48>

Number: 14449_124 N=76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937 ( 119 digits) SNFS difficulty: 126 digits. Divisors found: r1=5175757663323323463917452916699 (pp31) r2=87280545998199448610509108990088503350991 (pp41) r3=169200056742758350400056102242352593752657930093 (pp48) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 4.26 hours. Scaled time: 2.88 units (timescale=0.675). Factorization parameters were as follows: name: 14449_124 n: 76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937 m: 10000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:49098, AFBsize:63919, largePrimes:2203916 encountered Relations: rels:2274248, finalFF:176608 Max relations in full relation-set: 28 Initial matrix: 113082 x 176608 with sparse part having weight 17252242. Pruned matrix : 102053 x 102682 with weight 7545808. Total sieving time: 3.90 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.21 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 4.26 hours. --------- CPU info (if available) ----------
(13·10¹³¹+41)/9 = 1(4)₁₃₀9_<132> = 4651 · 22379822107417_<14> · C115
C115 = P43 · P72
P43 = 2249090272651913721819392572240308879238027_<43>
P72 = 617008271333123742480108012577387394787114276114628954373956069679259761_<72>

Number: 14449_131 N=1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547 ( 115 digits) SNFS difficulty: 132 digits. Divisors found: r1=2249090272651913721819392572240308879238027 (pp43) r2=617008271333123742480108012577387394787114276114628954373956069679259761 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 6.47 hours. Scaled time: 12.90 units (timescale=1.995). Factorization parameters were as follows: name: 14449_131 n: 1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547 m: 100000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1250001) Primes: RFBsize:63951, AFBsize:63954, largePrimes:1541842 encountered Relations: rels:1537508, finalFF:155468 Max relations in full relation-set: 28 Initial matrix: 127972 x 155468 with sparse part having weight 14753604. Pruned matrix : 121290 x 121993 with weight 9959479. Total sieving time: 6.24 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.11 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 6.47 hours. --------- CPU info (if available) ----------
Mar 12, 2008 (4th): By matsui / GGNFS
10¹⁷¹+7 = 1(0)₁₇₀7_<172> = 353 · 16139676313_<11> · 2503433995697_<13> · C146
C146 = P44 · P103
P44 = 18280520184492143617094205240248705703843689_<44>
P103 = 3835356858729892849185282132443271335225604500851042024555355541432430314460970459178772287450451105111_<103>

N=70112318470742189230991216185000433908480319262349860717935684928869182527261387878088634070747265932543928645509144531113608713830541790452994479 ( 146 digits) SNFS difficulty: 171 digits. Divisors found: r1=18280520184492143617094205240248705703843689 (pp44) r2=3835356858729892849185282132443271335225604500851042024555355541432430314460970459178772287450451105111 (pp103) Version: GGNFS-0.77.1-20060513-prescott Total time: 173.95 hours. Scaled time: 186.30 units (timescale=1.071). Factorization parameters were as follows: n: 70112318470742189230991216185000433908480319262349860717935684928869182527261387878088634070747265932543928645509144531113608713830541790452994479 m: 10000000000000000000000000000000000 c5: 10 c0: 7 skew: 0.93 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 9100001) Primes: RFBsize:412849, AFBsize:412181, largePrimes:6263624 encountered Relations: rels:6537561, finalFF:925066 Max relations in full relation-set: 28 Initial matrix: 825096 x 925066 with sparse part having weight 73008744. Pruned matrix : 748237 x 752426 with weight 57526687. Total sieving time: 157.26 hours. Total relation processing time: 0.15 hours. Matrix solve time: 16.18 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 173.95 hours.
Mar 12, 2008 (3rd): By Jo Yeong Uk / GGNFS, GMP-ECM
(13·10¹⁷¹+23)/9 = 1(4)₁₇₀7_<172> = C172
C172 = P79 · P93
P79 = 3983898590622918946099742220376300090916709488135066216815900242393474298893881_<79>
P93 = 362570585467285289874408318951946873117767996253948597783388693466115940756746792298079012887_<93>

Number: 14447_171 N=1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 ( 172 digits) SNFS difficulty: 172 digits. Divisors found: r1=3983898590622918946099742220376300090916709488135066216815900242393474298893881 (pp79) r2=362570585467285289874408318951946873117767996253948597783388693466115940756746792298079012887 (pp93) Version: GGNFS-0.77.1-20050930-nocona Total time: 131.74 hours. Scaled time: 244.78 units (timescale=1.858). Factorization parameters were as follows: n: 1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 m: 10000000000000000000000000000000000 c5: 130 c0: 23 skew: 0.71 type: snfs Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 49/49 Sieved algebraic special-q in [4000000, 10200001) Primes: RFBsize:539777, AFBsize:539940, largePrimes:10162557 encountered Relations: rels:10122806, finalFF:1244958 Max relations in full relation-set: 28 Initial matrix: 1079784 x 1244958 with sparse part having weight 84970128. Pruned matrix : 939205 x 944667 with weight 62887516. Total sieving time: 124.92 hours. Total relation processing time: 0.21 hours. Matrix solve time: 6.48 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,49,49,2.6,2.6,100000 total time: 131.74 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.89 BogoMIPS (lpj=2406449) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
(13·10¹⁴⁶+41)/9 = 1(4)₁₄₅9_<147> = 439 · 636164869 · 4027095081240337127431_<22> · C114
C114 = P29 · P85
P29 = 77842537158874070251175271923_<29>
P85 = 1649900575553862884781770255109051972716668375312218449809275241329788226651058294303_<85>
Mar 12, 2008 (2nd): By Robert Backstrom / GGNFS, Msieve, GMP-ECM
(2·10¹⁷⁸+61)/9 = (2)₁₇₇9_<178> = 3 · 2027 · 20297 · 2066378869_<10> · 3247837269569_<13> · 163433233996276243474084319_<27> · C122
C122 = P46 · P76
P46 = 9668963333839804970616649746421126785511167893_<46>
P76 = 1697681163681159193851768896483106359487408211693779675029441305133012994731_<76>

Number: n N=16414816924183620628070288142730847259538958407278070871366182577042951560674699400450759287353464473072300307093265371783 ( 122 digits) Divisors found: Wed Mar 12 04:59:52 2008 prp46 factor: 9668963333839804970616649746421126785511167893 Wed Mar 12 04:59:52 2008 prp76 factor: 1697681163681159193851768896483106359487408211693779675029441305133012994731 Wed Mar 12 04:59:52 2008 elapsed time 01:49:29 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 70.21 hours. Scaled time: 58.76 units (timescale=0.837). Factorization parameters were as follows: name: KA_2_177_9 n: 16414816924183620628070288142730847259538958407278070871366182577042951560674699400450759287353464473072300307093265371783 skew: 48529.68 # norm 1.17e+17 c5: 30240 c4: -49685839936 c3: 2178758267704620 c2: 9727614241047290652 c1: -1794383631406455012036071 c0: -18641026174809989700473846580 # alpha -6.51 Y1: 1447263605209 Y0: -222296067764273622309011 # Murphy_E 2.31e-10 # M 503199048986875789014469484545092288568881604151045417589810804443826108233596466928631049481635113331976691027497880165 type: gnfs rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 3700093) Primes: RFBsize:348513, AFBsize:349115, largePrimes:7324235 encountered Relations: rels:7332295, finalFF:780478 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 69.95 hours. Total relation processing time: 0.25 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000 total time: 70.21 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
(13·10¹⁰⁴+41)/9 = 1(4)₁₀₃9_<105> = 11959 · 232891 · 17284853 · C88
C88 = P34 · P55
P34 = 1079735338858603736315862602698429_<34>
P55 = 2778883020604898417243505418183286377453379744603666533_<55>
Mar 12, 2008: The factor table of 144...449 was extended to n=200. Those composite numbers had been tested 430 times by GMP-ECM B1=250000. So, unknown prime factors of them are probably greater than 10³⁰.
Mar 11, 2008: By Jo Yeong Uk / GMP-ECM, Msieve
7·10¹⁶³-9 = 6(9)₁₆₂1_<164> = 83 · 2447 · 590732534224585594774305619_<27> · C132
C132 = P42 · P45 · P47
P42 = 129176060038429313134294565540217914223913_<42>
P45 = 120256406964389982245302914445931857545867029_<45>
P47 = 37558205196955967532214995487858032886370144357_<47>

Tue Mar 11 20:26:37 2008 Tue Mar 11 20:26:37 2008 Tue Mar 11 20:26:37 2008 Msieve v. 1.32 Tue Mar 11 20:26:37 2008 random seeds: d1acc543 915d5279 Tue Mar 11 20:26:37 2008 factoring 4516614809017203638734673756033070566719308001891393690896873800964334745942246243456705353 (91 digits) Tue Mar 11 20:26:37 2008 no P-1/P+1/ECM available, skipping Tue Mar 11 20:26:37 2008 commencing quadratic sieve (91-digit input) Tue Mar 11 20:26:38 2008 using multiplier of 1 Tue Mar 11 20:26:38 2008 using 32kb Intel Core sieve core Tue Mar 11 20:26:38 2008 sieve interval: 36 blocks of size 32768 Tue Mar 11 20:26:38 2008 processing polynomials in batches of 6 Tue Mar 11 20:26:38 2008 using a sieve bound of 1714723 (64706 primes) Tue Mar 11 20:26:38 2008 using large prime bound of 164613408 (27 bits) Tue Mar 11 20:26:38 2008 using double large prime bound of 616080330033312 (42-50 bits) Tue Mar 11 20:26:38 2008 using trial factoring cutoff of 50 bits Tue Mar 11 20:26:38 2008 polynomial 'A' values have 12 factors Tue Mar 11 22:05:45 2008 65009 relations (16375 full + 48634 combined from 767780 partial), need 64802 Tue Mar 11 22:05:45 2008 begin with 784155 relations Tue Mar 11 22:05:46 2008 reduce to 163081 relations in 12 passes Tue Mar 11 22:05:46 2008 attempting to read 163081 relations Tue Mar 11 22:05:47 2008 recovered 163081 relations Tue Mar 11 22:05:47 2008 recovered 143891 polynomials Tue Mar 11 22:05:47 2008 attempting to build 65009 cycles Tue Mar 11 22:05:47 2008 found 65009 cycles in 5 passes Tue Mar 11 22:05:48 2008 distribution of cycle lengths: Tue Mar 11 22:05:48 2008 length 1 : 16375 Tue Mar 11 22:05:48 2008 length 2 : 12106 Tue Mar 11 22:05:48 2008 length 3 : 11255 Tue Mar 11 22:05:48 2008 length 4 : 8787 Tue Mar 11 22:05:48 2008 length 5 : 6474 Tue Mar 11 22:05:48 2008 length 6 : 4192 Tue Mar 11 22:05:48 2008 length 7 : 2595 Tue Mar 11 22:05:48 2008 length 9+: 3225 Tue Mar 11 22:05:48 2008 largest cycle: 23 relations Tue Mar 11 22:05:48 2008 matrix is 64706 x 65009 with weight 3948865 (avg 60.74/col) Tue Mar 11 22:05:48 2008 filtering completed in 3 passes Tue Mar 11 22:05:48 2008 matrix is 61147 x 61211 with weight 3734333 (avg 61.01/col) Tue Mar 11 22:05:49 2008 saving the first 48 matrix rows for later Tue Mar 11 22:05:49 2008 matrix is 61099 x 61211 with weight 2944184 (avg 48.10/col) Tue Mar 11 22:05:49 2008 matrix includes 64 packed rows Tue Mar 11 22:05:49 2008 using block size 24484 for processor cache size 4096 kB Tue Mar 11 22:05:50 2008 commencing Lanczos iteration Tue Mar 11 22:06:05 2008 lanczos halted after 968 iterations (dim = 61099) Tue Mar 11 22:06:06 2008 recovered 17 nontrivial dependencies Tue Mar 11 22:06:06 2008 prp45 factor: 120256406964389982245302914445931857545867029 Tue Mar 11 22:06:06 2008 prp47 factor: 37558205196955967532214995487858032886370144357 Tue Mar 11 22:06:06 2008 elapsed time 01:39:29
Mar 10, 2008 (2nd): By Robert Backstrom / GGNFS, Msieve, GMP-ECM
(13·10¹⁵⁶+23)/9 = 1(4)₁₅₅7_<157> = 19 · C155
C155 = P42 · P53 · P61
P42 = 389980758750449231614133227379820419633329_<42>
P53 = 91675205847127951535304492278434084611246814323398249_<53>
P61 = 2126435275612637276891658087461597168753509864505325623463053_<61>

Number: n N=76023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813 ( 155 digits) SNFS difficulty: 157 digits. Divisors found: Mon Mar 10 12:45:32 2008 prp42 factor: 389980758750449231614133227379820419633329 Mon Mar 10 12:45:32 2008 prp53 factor: 91675205847127951535304492278434084611246814323398249 Mon Mar 10 12:45:32 2008 prp61 factor: 2126435275612637276891658087461597168753509864505325623463053 Mon Mar 10 12:45:32 2008 elapsed time 01:37:27 (Msieve 1.33) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 37.46 hours. Scaled time: 48.66 units (timescale=1.299). Factorization parameters were as follows: name: KA_1_4_155_7 n: 76023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813 skew: 0.71 deg: 5 c5: 130 c0: 23 m: 10000000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1700189) Primes: RFBsize:203362, AFBsize:203442, largePrimes:7079060 encountered Relations: rels:6512185, finalFF:431363 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 37.25 hours. Total relation processing time: 0.21 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 37.46 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
(25·10¹⁷²-7)/9 = 2(7)₁₇₂_<173> = 3² · 4937 · 205072881269_<12> · 12416644610658474999659088434521057_<35> · C123
C123 = P42 · P82
P42 = 116405331338301067025460027374215198811209_<42>
P82 = 2109145336369723547308865649415737033622345460437054290338930752168934409301836277_<82>
Mar 10, 2008: By Sinkiti Sibata / GGNFS
(13·10¹⁵¹+23)/9 = 1(4)₁₅₀7_<152> = 47 · 1459 · 1489 · 6550441069_<10> · C134
C134 = P34 · P42 · P58
P34 = 2731118671267928548408841950780937_<34>
P42 = 926226113280928870632802667563416935974873_<42>
P58 = 8537384850979962295167735815770595423638734296748278114279_<58>

Number: 14447_151 N=21596454139160159728583367398724798070601192188565630667951343431788486011447546922981570292793501563082365331104250185971848293598279 ( 134 digits) SNFS difficulty: 152 digits. Divisors found: r1=2731118671267928548408841950780937 (pp34) r2=926226113280928870632802667563416935974873 (pp42) r3=8537384850979962295167735815770595423638734296748278114279 (pp58) Version: GGNFS-0.77.1-20060513-k8 Total time: 30.82 hours. Scaled time: 61.71 units (timescale=2.002). Factorization parameters were as follows: name: 14447_151 n: 21596454139160159728583367398724798070601192188565630667951343431788486011447546922981570292793501563082365331104250185971848293598279 m: 1000000000000000000000000000000 c5: 130 c0: 23 skew: 0.71 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2300001) Primes: RFBsize:176302, AFBsize:176533, largePrimes:5744567 encountered Relations: rels:5739630, finalFF:530151 Max relations in full relation-set: 28 Initial matrix: 352902 x 530151 with sparse part having weight 51970091. Pruned matrix : 290719 x 292547 with weight 28566604. Total sieving time: 29.39 hours. Total relation processing time: 0.17 hours. Matrix solve time: 1.10 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 30.82 hours. --------- CPU info (if available) ----------
(4·10¹⁶³+11)/3 = 1(3)₁₆₂7_<164> = 457 · 3461 · 28350228528705291234487_<23> · C135
C135 = P57 · P79
P57 = 139264282223215405733533065658698214852552428148010156791_<57>
P79 = 2135131501215430631229036018332690103622289502314800149143766658044782641913293_<79>

Number: 13337_163 N=297347555968943318517168374915449211547556632286503794637272357540890612022634850535944311114254649675656903511660872954505705157122763 ( 135 digits) SNFS difficulty: 163 digits. Divisors found: r1=139264282223215405733533065658698214852552428148010156791 (pp57) r2=2135131501215430631229036018332690103622289502314800149143766658044782641913293 (pp79) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 107.67 hours. Scaled time: 72.68 units (timescale=0.675). Factorization parameters were as follows: name: 13337_163 n: 297347555968943318517168374915449211547556632286503794637272357540890612022634850535944311114254649675656903511660872954505705157122763 m: 200000000000000000000000000000000 c5: 125 c0: 11 skew: 0.62 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 4850001) Primes: RFBsize:315948, AFBsize:316157, largePrimes:5861775 encountered Relations: rels:6006525, finalFF:767511 Max relations in full relation-set: 28 Initial matrix: 632170 x 767511 with sparse part having weight 52013479. Pruned matrix : 529404 x 532628 with weight 36397514. Total sieving time: 93.52 hours. Total relation processing time: 0.40 hours. Matrix solve time: 13.52 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 107.67 hours. --------- CPU info (if available) ----------
Mar 9, 2008 (3rd): By matsui / GGNFS
3·10¹⁶⁵+7 = 3(0)₁₆₄7_<166> = 71 · 739 · 24680319817_<11> · 12015226484473081913_<20> · C132
C132 = P46 · P86
P46 = 7814625344423111337812529497145365416512918941_<46>
P86 = 24673318295604171900567002523536315906661600240732917021551158395138773289853506329223_<86>

N=192812738483846806238630987193800388580669468550195254565079242547722043989395273633963041899135344900887963261307880863289858512843 ( 132 digits) SNFS difficulty: 165 digits. Divisors found: r1=7814625344423111337812529497145365416512918941 (pp46) r2=24673318295604171900567002523536315906661600240732917021551158395138773289853506329223 (pp86) Version: GGNFS-0.77.1-20060513-prescott Total time: 90.67 hours. Scaled time: 154.22 units (timescale=1.701). Factorization parameters were as follows: n: 192812738483846806238630987193800388580669468550195254565079242547722043989395273633963041899135344900887963261307880863289858512843 m: 1000000000000000000000000000000000 c5: 3 c0: 7 skew: 1.18 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2500000, 5000001) Primes: RFBsize:348513, AFBsize:347701, largePrimes:5840417 encountered Relations: rels:6040079, finalFF:838247 Max relations in full relation-set: 28 Initial matrix: 696279 x 838247 with sparse part having weight 46329810. Pruned matrix : 579285 x 582830 with weight 31436435. Total sieving time: 86.39 hours. Total relation processing time: 0.18 hours. Matrix solve time: 3.93 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000 total time: 90.67 hours.
Mar 9, 2008 (2nd): By Sinkiti Sibata / GGNFS
(13·10¹⁴⁹+23)/9 = 1(4)₁₄₈7_<150> = 3 · 59 · 642789047 · 8628460657_<10> · 384131451857134907_<18> · C111
C111 = P43 · P69
P43 = 1869299252728233162593593784842467695639821_<43>
P69 = 204911855236147914759409599454283650327219283947887580206394976351047_<69>

Number: 14447_149 N=383041577868087188812664780595180230412072536147911341266120897719996165650338793121853080533129917090568242587 ( 111 digits) SNFS difficulty: 151 digits. Divisors found: r1=1869299252728233162593593784842467695639821 (pp43) r2=204911855236147914759409599454283650327219283947887580206394976351047 (pp69) Version: GGNFS-0.77.1-20060513-k8 Total time: 26.05 hours. Scaled time: 51.80 units (timescale=1.988). Factorization parameters were as follows: name: 14447_149 n: 383041577868087188812664780595180230412072536147911341266120897719996165650338793121853080533129917090568242587 m: 1000000000000000000000000000000 c5: 13 c0: 230 skew: 1.78 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2100001) Primes: RFBsize:176302, AFBsize:176123, largePrimes:5908890 encountered Relations: rels:6100436, finalFF:719350 Max relations in full relation-set: 28 Initial matrix: 352490 x 719350 with sparse part having weight 66689794. Pruned matrix : 236910 x 238736 with weight 31888992. Total sieving time: 24.90 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.86 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 26.05 hours. --------- CPU info (if available) ----------
Mar 9, 2008: By Robert Backstrom / GMP-ECM, GGNFS, Msieve
(13·10¹⁶⁴+23)/9 = 1(4)₁₆₃7_<165> = 3 · 7 · C163
C163 = P30 · P38 · P96
P30 = 839545558995717980676973391993_<30>
P38 = 20177046110532699947312283019200501521_<38>
P96 = 406050166580568139538183636120785029941680983190292244345051790690796540227700452076761314334219_<96>
(13·10¹⁹⁹+23)/9 = 1(4)₁₉₈7_<200> = 88301 · 97171 · 14709557 · 9380701384113676637_<19> · 96637000536716385619_<20> · 57251133189500039825065474428151_<32> · C112
C112 = P45 · P67
P45 = 333670648710684229453163570612770033938844831_<45>
P67 = 6608731526570938248049146439234589449529372334618254009651625581707_<67>

Number: n N=2205139735625675455818440066649785353479042891137898839136974049458833516499762054740029875402695374463985106517 ( 112 digits) Divisors found: Sun Mar 9 15:40:53 2008 prp45 factor: 333670648710684229453163570612770033938844831 Sun Mar 9 15:40:53 2008 prp67 factor: 6608731526570938248049146439234589449529372334618254009651625581707 Sun Mar 9 15:40:53 2008 elapsed time 00:47:41 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 22.43 hours. Scaled time: 18.82 units (timescale=0.839). Factorization parameters were as follows: name: KA_1_4_198_7 n: 2205139735625675455818440066649785353479042891137898839136974049458833516499762054740029875402695374463985106517 skew: 12947.06 # norm 1.05e+15 c5: 79260 c4: 4596673684 c3: -60634614034228 c2: -616319288220440177 c1: 784693312699527700878 c0: 10872847761019001446446576 # alpha -5.24 Y1: 715729016893 Y0: -1944798252444552188581 # Murphy_E 8.28e-10 # M 306958205911432083419999205075881375379766157974305319669852638518609333434617979646532294229843553801664968650 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 1300253) Primes: RFBsize:250150, AFBsize:250374, largePrimes:6817999 encountered Relations: rels:6507370, finalFF:555111 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 22.25 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 22.43 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
(13·10¹⁵⁴+23)/9 = 1(4)₁₅₃7_<155> = 19919 · 3679468548146533_<16> · 7630751612715717403_<19> · C116
C116 = P58 · P59
P58 = 2262802058462321464484841458672901509492655613223530140187_<58>
P59 = 11413907115688684242996799010354104342118227296131335025701_<59>

Number: n N=25827412516478093045584474130625154149704594415060748731377938994171532661092038308190184824436264190771407777946087 ( 116 digits) SNFS difficulty: 156 digits. Divisors found: Sun Mar 09 18:04:06 2008 prp58 factor: 2262802058462321464484841458672901509492655613223530140187 Sun Mar 09 18:04:06 2008 prp59 factor: 11413907115688684242996799010354104342118227296131335025701 Sun Mar 09 18:04:06 2008 elapsed time 01:05:20 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 25.24 hours. Scaled time: 36.50 units (timescale=1.446). Factorization parameters were as follows: name: KA_1_4_153_7 n: 25827412516478093045584474130625154149704594415060748731377938994171532661092038308190184824436264190771407777946087 skew: 1.78 deg: 5 c5: 13 c0: 230 m: 10000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1399990) Primes: RFBsize:183072, AFBsize:182796, largePrimes:6936275 encountered Relations: rels:6366622, finalFF:410123 Max relations in full relation-set: 28 Initial matrix: 365933 x 410123 with sparse part having weight 33136403. Pruned matrix : Total sieving time: 25.06 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 25.24 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
(34·10¹⁸⁷-7)/9 = 3(7)₁₈₇_<188> = 37 · 181 · 339749 · 165027393137_<12> · 2970433401408271_<16> · 178766094923463611022611_<24> · C129
C129 = P37 · P92
P37 = 7833169297986926978487842335902637991_<37>
P92 = 24187968600683302527739149792104175270573397807449410184317187911155868346087250303023744367_<92>
(13·10¹⁹⁵+23)/9 = 1(4)₁₉₄7_<196> = 103 · 331 · 577 · 911725164517_<12> · 563220168489614860626764656859_<30> · 41654141427322616652855513644521_<32> · C115
C115 = P50 · P65
P50 = 37391517136576492214407196832292095434789606457973_<50>
P65 = 91809241027487944385754632122283696654344609873546408374196174673_<65>

Number: n N=3432886809175397032196339913330534024884982534747861246146538642357430422156175510072541804926634570136593541517829 ( 115 digits) Divisors found: Sun Mar 09 22:18:21 2008 prp50 factor: 37391517136576492214407196832292095434789606457973 Sun Mar 09 22:18:21 2008 prp65 factor: 91809241027487944385754632122283696654344609873546408374196174673 Sun Mar 09 22:18:21 2008 elapsed time 01:09:35 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 27.63 hours. Scaled time: 50.54 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_4_194_7 n: 3432886809175397032196339913330534024884982534747861246146538642357430422156175510072541804926634570136593541517829 skew: 63552.14 # norm 2.83e+16 c5: 80640 c4: -8836498296 c3: -1373598062853518 c2: 37201918264484422373 c1: 1921950600134982397290562 c0: -16625469219239268679518449376 # alpha -7.09 Y1: 2512263133757 Y0: -8429942835838585877603 # Murphy_E 5.26e-10 # M 106777821378733491274746654241528362728436178840541836325753017700893053191371109931252808924794581284601019233135 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 1700341) Primes: RFBsize:250150, AFBsize:250791, largePrimes:7112358 encountered Relations: rels:6818052, finalFF:557631 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 27.43 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 27.63 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+
Mar 8, 2008 (3rd): By Sinkiti Sibata / GGNFS
(13·10¹⁴⁸+23)/9 = 1(4)₁₄₇7_<149> = 29 · 82893068831154629_<17> · C130
C130 = P41 · P44 · P47
P41 = 10326766722762193030677743410047854627737_<41>
P44 = 18781709518265729197727134979077408403048257_<44>
P47 = 30980265889559158971246250118179234976988163463_<47>

Number: 14447_148 N=6008756802119248777049510774562217755723689828737153396106397864957468248863689090466755395432392753749237979010664160141839808367 ( 130 digits) SNFS difficulty: 149 digits. Divisors found: r1=10326766722762193030677743410047854627737 (pp41) r2=18781709518265729197727134979077408403048257 (pp44) r3=30980265889559158971246250118179234976988163463 (pp47) Version: GGNFS-0.77.1-20060513-k8 Total time: 50.14 hours. Scaled time: 100.43 units (timescale=2.003). Factorization parameters were as follows: name: 14447_148 n: 6008756802119248777049510774562217755723689828737153396106397864957468248863689090466755395432392753749237979010664160141839808367 m: 100000000000000000000000000000 c5: 13000 c0: 23 skew: 0.28 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 6650001) Primes: RFBsize:114155, AFBsize:114567, largePrimes:3408107 encountered Relations: rels:3661191, finalFF:257461 Max relations in full relation-set: 28 Initial matrix: 228789 x 257461 with sparse part having weight 36674363. Pruned matrix : 222194 x 223401 with weight 30863209. Total sieving time: 49.04 hours. Total relation processing time: 0.26 hours. Matrix solve time: 0.72 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 50.14 hours. --------- CPU info (if available) ----------
Mar 8, 2008 (2nd): By Robert Backstrom / GGNFS, Msieve, GMP-ECM
(4·10¹⁵⁸+11)/3 = 1(3)₁₅₇7_<159> = 8233 · 1527862686242403797544393553027_<31> · C125
C125 = P57 · P68
P57 = 287883469723032768443947642361131998993548767401991588961_<57>
P68 = 36819642567197130462621523866484529898124568522097561899681003205787_<68>

Number: n N=10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307 ( 125 digits) SNFS difficulty: 158 digits. Divisors found: Sat Mar 08 06:26:55 2008 prp57 factor: 287883469723032768443947642361131998993548767401991588961 Sat Mar 08 06:26:55 2008 prp68 factor: 36819642567197130462621523866484529898124568522097561899681003205787 Sat Mar 08 06:26:55 2008 elapsed time 01:39:35 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 36.63 hours. Scaled time: 64.10 units (timescale=1.750). Factorization parameters were as follows: name: KA_1_3_157_7 n: 10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307 type: snfs skew: 0.62 deg: 5 c5: 125 c0: 11 m: 20000000000000000000000000000000 rlim: 2400000 alim: 2400000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2800000) Primes: RFBsize:176302, AFBsize:176929, largePrimes:7011112 encountered Relations: rels:6417268, finalFF:404337 Max relations in full relation-set: 28 Initial matrix: 353296 x 404337 with sparse part having weight 36767863. Pruned matrix : 325440 x 327270 with weight 26935597. Total sieving time: 36.43 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.3,2.3,100000 total time: 36.63 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
(4·10¹⁵⁹+11)/3 = 1(3)₁₅₈7_<160> = 7² · 797 · 911291 · C149
C149 = P72 · P78
P72 = 204085081256816882314444265811755088306232143029920183782151756286272303_<72>
P78 = 183576039185885640888108236068058657286106092960627488427886381858697479384073_<78>

Number: n N=37465130874056071128739882858608333273867038510555797284685508890275122646470838126444335066949288631674709132239035959872852775412243385761599230119 ( 149 digits) SNFS difficulty: 160 digits. Divisors found: r1=204085081256816882314444265811755088306232143029920183782151756286272303 (pp72) r2=183576039185885640888108236068058657286106092960627488427886381858697479384073 (pp78) Version: GGNFS-0.77.1-20051202-athlon Total time: 23.35 hours. Scaled time: 42.71 units (timescale=1.829). Factorization parameters were as follows: name: KA_1_3_158_7 n: 37465130874056071128739882858608333273867038510555797284685508890275122646470838126444335066949288631674709132239035959872852775412243385761599230119 skew: 1.94 deg: 5 c5: 2 c0: 55 m: 100000000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1600001) Primes: RFBsize:203362, AFBsize:203108, largePrimes:7174383 encountered Relations: rels:6696120, finalFF:533294 Max relations in full relation-set: 48 Initial matrix: 406535 x 533294 with sparse part having weight 47341680. Pruned matrix : 315527 x 317623 with weight 26303198. Total sieving time: 22.28 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.89 hours. Total square root time: 0.05 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 23.35 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+
(13·10¹⁵⁷+23)/9 = 1(4)₁₅₆7_<158> = 16927 · 2524139 · 1130777445877727136149_<22> · C126
C126 = P38 · P43 · P46
P38 = 29470374557264323160093526813499099303_<38>
P43 = 8608324398240878863428561563214391554918361_<43>
P46 = 1178490710904896662118258002202295955986767897_<46>

Sat Mar 08 17:12:46 2008 Sat Mar 08 17:12:46 2008 Sat Mar 08 17:12:46 2008 Msieve v. 1.33 Sat Mar 08 17:12:46 2008 random seeds: 523c0940 fc91d192 Sat Mar 08 17:12:46 2008 factoring 10144830339782860097185251752019345282487397788395193165545200757788964500311106090656817 (89 digits) Sat Mar 08 17:12:46 2008 searching for 15-digit factors Sat Mar 08 17:12:47 2008 commencing quadratic sieve (89-digit input) Sat Mar 08 17:12:47 2008 using multiplier of 5 Sat Mar 08 17:12:47 2008 using 64kb Opteron sieve core Sat Mar 08 17:12:47 2008 sieve interval: 14 blocks of size 65536 Sat Mar 08 17:12:47 2008 processing polynomials in batches of 8 Sat Mar 08 17:12:47 2008 using a sieve bound of 1536659 (58333 primes) Sat Mar 08 17:12:47 2008 using large prime bound of 122932720 (26 bits) Sat Mar 08 17:12:47 2008 using double large prime bound of 364251493350800 (42-49 bits) Sat Mar 08 17:12:47 2008 using trial factoring cutoff of 49 bits Sat Mar 08 17:12:47 2008 polynomial 'A' values have 11 factors Sat Mar 08 17:58:29 2008 58751 relations (15710 full + 43041 combined from 622765 partial), need 58429 Sat Mar 08 17:58:29 2008 begin with 638474 relations Sat Mar 08 17:58:30 2008 reduce to 143363 relations in 13 passes Sat Mar 08 17:58:30 2008 attempting to read 143363 relations Sat Mar 08 17:58:31 2008 recovered 143363 relations Sat Mar 08 17:58:31 2008 recovered 123286 polynomials Sat Mar 08 17:58:31 2008 attempting to build 58751 cycles Sat Mar 08 17:58:31 2008 found 58751 cycles in 6 passes Sat Mar 08 17:58:31 2008 distribution of cycle lengths: Sat Mar 08 17:58:31 2008 length 1 : 15710 Sat Mar 08 17:58:31 2008 length 2 : 11202 Sat Mar 08 17:58:31 2008 length 3 : 10379 Sat Mar 08 17:58:31 2008 length 4 : 7870 Sat Mar 08 17:58:31 2008 length 5 : 5483 Sat Mar 08 17:58:31 2008 length 6 : 3491 Sat Mar 08 17:58:31 2008 length 7 : 2100 Sat Mar 08 17:58:31 2008 length 9+: 2516 Sat Mar 08 17:58:31 2008 largest cycle: 18 relations Sat Mar 08 17:58:32 2008 matrix is 58333 x 58751 (14.3 MB) with weight 3525812 (60.01/col) Sat Mar 08 17:58:32 2008 sparse part has weight 3525812 (60.01/col) Sat Mar 08 17:58:32 2008 filtering completed in 3 passes Sat Mar 08 17:58:32 2008 matrix is 54292 x 54356 (13.3 MB) with weight 3271260 (60.18/col) Sat Mar 08 17:58:32 2008 sparse part has weight 3271260 (60.18/col) Sat Mar 08 17:58:32 2008 saving the first 48 matrix rows for later Sat Mar 08 17:58:32 2008 matrix is 54244 x 54356 (9.7 MB) with weight 2718251 (50.01/col) Sat Mar 08 17:58:32 2008 sparse part has weight 2219258 (40.83/col) Sat Mar 08 17:58:32 2008 matrix includes 64 packed rows Sat Mar 08 17:58:32 2008 using block size 21742 for processor cache size 1024 kB Sat Mar 08 17:58:33 2008 commencing Lanczos iteration Sat Mar 08 17:58:33 2008 memory use: 8.8 MB Sat Mar 08 17:58:51 2008 lanczos halted after 859 iterations (dim = 54239) Sat Mar 08 17:58:51 2008 recovered 15 nontrivial dependencies Sat Mar 08 17:58:52 2008 prp43 factor: 8608324398240878863428561563214391554918361 Sat Mar 08 17:58:52 2008 prp46 factor: 1178490710904896662118258002202295955986767897 Sat Mar 08 17:58:52 2008 elapsed time 00:46:06
Mar 8, 2008: By Tyler Cadigan / GGNFS, Msieve
(25·10¹⁶⁹-1)/3 = 8(3)₁₆₉_<170> = 557 · 613961582036334773951_<21> · C147
C147 = P73 · P75
P73 = 1502550005296206405957000095663916919632979691817218255829004648364096639_<73>
P75 = 162178555506473282695383179715970565193863003032111870610103191330901171721_<75>

Number: 83333_169 N=243681389435182535496184708589226424729855760913476797889743725884416113338127752125962521749882308307893002238055583876382795647110212672777945719 ( 147 digits) SNFS difficulty: 170 digits. Divisors found: r1=1502550005296206405957000095663916919632979691817218255829004648364096639 r2=162178555506473282695383179715970565193863003032111870610103191330901171721 Version: Total time: 78.18 hours. Scaled time: 202.08 units (timescale=2.585). Factorization parameters were as follows: n: 243681389435182535496184708589226424729855760913476797889743725884416113338127752125962521749882308307893002238055583876382795647110212672777945719 m: 10000000000000000000000000000000000 c5: 5 c0: -2 skew: 0.83 type: snfs Y0: -10000000000000000000000000000000000 Y1: 1Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 6900001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 704024 x 704272 Total sieving time: 78.18 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 78.18 hours. --------- CPU info (if available) ----------
Mar 7, 2008 (4th): By Jo Yeong Uk / GMP-ECM
(55·10¹⁶⁵-1)/9 = 6(1)₁₆₅_<166> = 3² · 7 · 89 · 57373 · 10715141 · 5243570455225517035661_<22> · C129
C129 = P47 · P83
P47 = 22145408397734698123468423600952926184208679147_<47>
P83 = 15267691382164727203242189694802421271145941451138137866402055973027833433215497983_<83>
Mar 7, 2008 (3rd): By Robert Backstrom / GMP-ECM, GGNFS, Msieve
(17·10¹⁸⁸-71)/9 = 1(8)₁₈₇1_<189> = 46281797 · C181
C181 = P28 · P35 · P46 · P73
P28 = 6703837968824142319548566209_<28>
P35 = 18284711636540291744488699704039629_<35>
P46 = 6046424374440345331609702538553541573262983367_<46>
P73 = 5506630666650624530936151410813003802749830770712958032362796387418558279_<73>

Number: n N=33295425883877024213133089544859699420354642783993157073687282792277335584942812196574757512858061420648601761497145393 ( 119 digits) Divisors found: r1=6046424374440345331609702538553541573262983367 (pp46) r2=5506630666650624530936151410813003802749830770712958032362796387418558279 (pp73) Version: GGNFS-0.77.1-20051202-athlon Total time: 25.37 hours. Scaled time: 46.26 units (timescale=1.823). Factorization parameters were as follows: name: KA_1_8_187_1 n: 33295425883877024213133089544859699420354642783993157073687282792277335584942812196574757512858061420648601761497145393 skew: 64252.80 # norm 8.56e+16 c5: 80640 c4: -29279627402 c3: -2582745450093933 c2: 100280207548859379378 c1: 2258234003440599349820122 c0: -63862789341497878474545813540 # alpha -6.91 Y1: 3752897193449 Y0: -52865099013389977999601 # Murphy_E 3.30e-10 # M 4584119993252203722295177747872564209385270252930595333008198134004344128971819458287365846308288885592951846116008855 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 28 lpba: 28 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 49/49 Sieved algebraic special-q in [100000, 2800001) Primes: RFBsize:315948, AFBsize:316483, largePrimes:8200805 encountered Relations: rels:7746394, finalFF:721237 Max relations in full relation-set: 48 Initial matrix: 632512 x 721237 with sparse part having weight 44335568. Pruned matrix : 545734 x 548960 with weight 25937410. Total sieving time: 23.18 hours. Total relation processing time: 0.24 hours. Matrix solve time: 1.77 hours. Total square root time: 0.18 hours, sqrts: 1. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,49,49,2.4,2.4,60000 total time: 25.37 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+
(4·10¹⁵⁶+17)/3 = 1(3)₁₅₅9_<157> = 7 · 101062276260401384471623631_<27> · C130
C130 = P63 · P67
P63 = 269480152008343856451946294957810061032767470763934370924086361_<63>
P67 = 6993987264537114565683739230936559086147454821094183445847542744347_<67>

Number: n N=1884740751191882668563906253662372628699360247371667353287240058299223854681737727018135369552948233020909693280492841805572551267 ( 130 digits) SNFS difficulty: 156 digits. Divisors found: Fri Mar 07 11:25:48 2008 prp63 factor: 269480152008343856451946294957810061032767470763934370924086361 Fri Mar 07 11:25:48 2008 prp67 factor: 6993987264537114565683739230936559086147454821094183445847542744347 Fri Mar 07 11:25:48 2008 elapsed time 00:50:09 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 24.70 hours. Scaled time: 35.57 units (timescale=1.440). Factorization parameters were as follows: name: KA_1_3_155_9 n: 1884740751191882668563906253662372628699360247371667353287240058299223854681737727018135369552948233020909693280492841805572551267 skew: 0.84 deg: 5 c5: 40 c0: 17 m: 10000000000000000000000000000000 type: snfs rlim: 2400000 alim: 2400000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1200001) Primes: RFBsize:176302, AFBsize:176288, largePrimes:7013324 encountered Relations: rels:6491415, finalFF:440292 Max relations in full relation-set: 28 Initial matrix: 352656 x 440292 with sparse part having weight 37857733. Pruned matrix : Total sieving time: 24.46 hours. Total relation processing time: 0.24 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.5,2.5,100000 total time: 24.70 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
Mar 7, 2008 (2nd): By Sinkiti Sibata / GGNFS
(13·10¹⁴⁶+23)/9 = 1(4)₁₄₅7_<147> = 3 · 7 · 3479557 · C139
C139 = P56 · P84
P56 = 19622489662095236649338844058215831256042080388367537519_<56>
P84 = 100740356624526186007814934359778825461356811979856485445035129252550852026602460329_<84>

Number: 14447_146 N=1976776606420552474604757697116868126281106151819578844915690956724341146553514392293869106578310652277539441623835125651592517920616583751 ( 139 digits) SNFS difficulty: 147 digits. Divisors found: r1=19622489662095236649338844058215831256042080388367537519 (pp56) r2=100740356624526186007814934359778825461356811979856485445035129252550852026602460329 (pp84) Version: GGNFS-0.77.1-20060513-k8 Total time: 29.62 hours. Scaled time: 59.31 units (timescale=2.002). Factorization parameters were as follows: name: 14447_146 n: 1976776606420552474604757697116868126281106151819578844915690956724341146553514392293869106578310652277539441623835125651592517920616583751 m: 100000000000000000000000000000 c5: 130 c0: 23 skew: 0.71 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 4050001) Primes: RFBsize:114155, AFBsize:114037, largePrimes:3084976 encountered Relations: rels:3164913, finalFF:290275 Max relations in full relation-set: 28 Initial matrix: 228259 x 290275 with sparse part having weight 36106723. Pruned matrix : 211753 x 212958 with weight 25442972. Total sieving time: 28.63 hours. Total relation processing time: 0.17 hours. Matrix solve time: 0.71 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 29.62 hours. --------- CPU info (if available) ----------
Mar 7, 2008: By matsui / GGNFS
3·10¹⁶⁹-7 = 2(9)₁₆₈3_<170> = 19 · 43055561 · 10073117473_<11> · 310792818964334717_<18> · C134
C134 = P54 · P80
P54 = 275860320126853307413096987739888963147811740022702997_<54>
P80 = 42463353702343919630941476770580199897205148009535304984674887647746788420522251_<80>

N=11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247 ( 134 digits) SNFS difficulty: 170 digits. Divisors found: r1=275860320126853307413096987739888963147811740022702997 (pp54) r2=42463353702343919630941476770580199897205148009535304984674887647746788420522251 (pp80) Version: GGNFS-0.77.1-20060513-prescott Total time: 161.74 hours. Scaled time: 179.53 units (timescale=1.110). Factorization parameters were as follows: n: 11713954345988395280440301043503701161036869491532050378454230366913521079611328147373022160571672903577472106907091023297491402886247 m: 10000000000000000000000000000000000 c5: 3 c0: -70 skew: 1.88 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 9100001) Primes: RFBsize:412849, AFBsize:410791, largePrimes:6338389 encountered Relations: rels:6667763, finalFF:975562 Max relations in full relation-set: 28 Initial matrix: 823705 x 975562 with sparse part having weight 74465554. Pruned matrix : 701852 x 706034 with weight 56385039. Total sieving time: 145.54 hours. Total relation processing time: 0.16 hours. Matrix solve time: 15.65 hours. Time per square root: 0.38 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 161.74 hours.
Mar 6, 2008 (3rd): By Sinkiti Sibata / GGNFS
(13·10¹⁴⁰+23)/9 = 1(4)₁₃₉7_<141> = 3 · 7 · 97 · 116639 · 361213 · 235765177 · C118
C118 = P31 · P37 · P52
P31 = 1745882905442085615069163292717_<31>
P37 = 1274538776841461345684727695080517503_<37>
P52 = 3208151205533195406082282981411310434662624665968979_<52>

Number: 14447_140 N=7138763506562734907929089171012437671823306257454994838166422259301218421238798466853549934921216720059849128421380329 ( 118 digits) SNFS difficulty: 141 digits. Divisors found: r1=1745882905442085615069163292717 (pp31) r2=1274538776841461345684727695080517503 (pp37) r3=3208151205533195406082282981411310434662624665968979 (pp52) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 10.31 hours. Scaled time: 6.96 units (timescale=0.675). Factorization parameters were as follows: name: 14447_140 n: 7138763506562734907929089171012437671823306257454994838166422259301218421238798466853549934921216720059849128421380329 m: 10000000000000000000000000000 c5: 13 c0: 23 skew: 1.12 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 1550001) Primes: RFBsize:100021, AFBsize:99688, largePrimes:2626869 encountered Relations: rels:2591427, finalFF:265976 Max relations in full relation-set: 28 Initial matrix: 199774 x 265976 with sparse part having weight 20939938. Pruned matrix : 176848 x 177910 with weight 11548586. Total sieving time: 9.39 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.73 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 10.31 hours. --------- CPU info (if available) ----------
(13·10¹⁴⁴+23)/9 = 1(4)₁₄₃7_<145> = 127 · 5309 · 698531 · 18250784633_<11> · 489889502898266347_<18> · C105
C105 = P46 · P59
P46 = 7974072093667475428695114878478870116137528321_<46>
P59 = 43016877271613784214536967602395329942184013449106489386429_<59>

Number: 14447_144 N=343019680608294166377258712561601712210065487114888595979284146082967927864376668302191058491283900555709 ( 105 digits) SNFS difficulty: 146 digits. Divisors found: r1=7974072093667475428695114878478870116137528321 (pp46) r2=43016877271613784214536967602395329942184013449106489386429 (pp59) Version: GGNFS-0.77.1-20060513-k8 Total time: 19.57 hours. Scaled time: 39.18 units (timescale=2.002). Factorization parameters were as follows: name: 14447_144 n: 343019680608294166377258712561601712210065487114888595979284146082967927864376668302191058491283900555709 m: 100000000000000000000000000000 c5: 13 c0: 230 skew: 1.78 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 2850001) Primes: RFBsize:114155, AFBsize:113437, largePrimes:2875075 encountered Relations: rels:2875950, finalFF:280563 Max relations in full relation-set: 28 Initial matrix: 227657 x 280563 with sparse part having weight 29021959. Pruned matrix : 211417 x 212619 with weight 20180901. Total sieving time: 18.84 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.53 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 19.57 hours. --------- CPU info (if available) ----------
(13·10¹⁴⁵+23)/9 = 1(4)₁₄₄7_<146> = 17 · 349 · 649123 · 1775611609_<10> · C127
C127 = P40 · P41 · P46
P40 = 9343080165895605403209672061982422960039_<40>
P41 = 89613447463680659731752405803506450728307_<41>
P46 = 2522831592649101185126932192574929950666412669_<46>

Number: 14447_145 N=2112280166645633371402320469707436810566363949074645713931457172472612598537165215521411575103320180556079680290992286560813937 ( 127 digits) SNFS difficulty: 146 digits. Divisors found: r1=9343080165895605403209672061982422960039 (pp40) r2=89613447463680659731752405803506450728307 (pp41) r3=2522831592649101185126932192574929950666412669 (pp46) Version: GGNFS-0.77.1-20060513-k8 Total time: 14.85 hours. Scaled time: 29.66 units (timescale=1.997). Factorization parameters were as follows: name: 14447_145 n: 2112280166645633371402320469707436810566363949074645713931457172472612598537165215521411575103320180556079680290992286560813937 m: 100000000000000000000000000000 c5: 13 c0: 23 skew: 1.12 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 2250001) Primes: RFBsize:114155, AFBsize:113862, largePrimes:2792569 encountered Relations: rels:2794001, finalFF:306269 Max relations in full relation-set: 28 Initial matrix: 228082 x 306269 with sparse part having weight 26826257. Pruned matrix : 201383 x 202587 with weight 15672670. Total sieving time: 14.25 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.38 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 14.85 hours. --------- CPU info (if available) ----------
Mar 6, 2008 (2nd): By Tyler Cadigan / GGNFS, Msieve
4·10²⁰⁰+7 = 4(0)₁₉₉7_<201> = 11 · 37 · 1283 · 3862363 · 850829939689_<12> · 7902206235541_<13> · 2427955288687425440124619_<25> · C140
C140 = P45 · P95
P45 = 744937326890658098750633812878347827267331909_<45>
P95 = 16309261376519004401367144323776493633648587766960444190910507407496460267050598624335377069811_<95>

Number: 40007_200 N=12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199 ( 140 digits) Divisors found: r1=744937326890658098750633812878347827267331909 r2=16309261376519004401367144323776493633648587766960444190910507407496460267050598624335377069811 Version: Total time: 897.57 hours. Scaled time: 2311.24 units (timescale=2.575). Factorization parameters were as follows: name: 40007_200 n: 12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199 skew: 223679.33 # norm 4.09e+019 c5: 2156280 c4: -61228026700 c3: -702373789849651771 c2: -6571146189541794526408 c1: 3301605854013914710688065716 c0: 152604628744953457221152044405968 # alpha -6.36 Y1: 5913557570755153 Y0: -354952153975377700897678475 # Murphy_E 2.08e-011 # M 3547188172572132846724638033940689355703420623635097032285416273587374461874203363023125145717872143374372253454257726653217575781190678802 type: gnfs rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 qintsize: 60000 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved algebraic special-q in [2700000, 18780001) Primes: rational ideals filtering, algebraic ideals filtering, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1492185 x 1492433 Total sieving time: 897.57 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000 total time: 897.57 hours. --------- CPU info (if available) ----------
C140 is the largest composite number factored by gnfs so far in our tables.
Mar 6, 2008: By Robert Backstrom / GGNFS, Msieve
(13·10¹³⁸+23)/9 = 1(4)₁₃₇7_<139> = 19 · 599 · 1429883584413769044754647369821_<31> · C104
C104 = P48 · P57
P48 = 586128798116731777961115493247664079920542415073_<48>
P57 = 151435145516772344278889031078601478025961666278540775039_<57>

Number: n N=88760499834378156773800488192000265442408738331560349865331863425464199466716830610347313449706255762847 ( 104 digits) SNFS difficulty: 139 digits. Divisors found: Thu Mar 06 02:47:26 2008 prp48 factor: 586128798116731777961115493247664079920542415073 Thu Mar 06 02:47:26 2008 prp57 factor: 151435145516772344278889031078601478025961666278540775039 Thu Mar 06 02:47:26 2008 elapsed time 00:45:26 (Msieve 1.33) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 9.08 hours. Scaled time: 11.82 units (timescale=1.302). Factorization parameters were as follows: name: KA_1_4_137_7 n: 88760499834378156773800488192000265442408738331560349865331863425464199466716830610347313449706255762847 skew: 0.28 deg: 5 c5: 13000 c0: 23 m: 1000000000000000000000000000 type: snfs rlim: 2400000 alim: 2400000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 900000) Primes: RFBsize:176302, AFBsize:176793, largePrimes:6399945 encountered Relations: rels:5818426, finalFF:424389 Max relations in full relation-set: 28 Initial matrix: 353162 x 424389 with sparse part having weight 24345376. Pruned matrix : 291445 x 293274 with weight 13197182. Total sieving time: 8.01 hours. Total relation processing time: 0.21 hours. Matrix solve time: 0.86 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.5,2.5,75000 total time: 9.08 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
(4·10¹⁵⁰+17)/3 = 1(3)₁₄₉9_<151> = 7 · 334069789 · 334196431 · C133
C133 = P62 · P71
P62 = 57126890860326108568751429326137900970835253270245426672695033_<62>
P71 = 29864902280999244026736715876111318231690393560147974398473655578471991_<71>

Number: n N=1706089013160948065796653250284267745523856895624707272826723480789142535712807929895649433301290486998952660344553525854016075320703 ( 133 digits) SNFS difficulty: 150 digits. Divisors found: Thu Mar 6 21:59:20 2008 prp62 factor: 57126890860326108568751429326137900970835253270245426672695033 Thu Mar 6 21:59:20 2008 prp71 factor: 29864902280999244026736715876111318231690393560147974398473655578471991 Thu Mar 6 21:59:20 2008 elapsed time 00:17:18 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 11.81 hours. Scaled time: 9.91 units (timescale=0.839). Factorization parameters were as follows: name: KA_1_3_149_9 n: 1706089013160948065796653250284267745523856895624707272826723480789142535712807929895649433301290486998952660344553525854016075320703 type: snfs deg: 5 c5: 4 c0: 17 skew: 1.34 m: 1000000000000000000000000000000 rlim: 2000000 alim: 2000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 700001) Primes: RFBsize:148933, AFBsize:149130, largePrimes:5287368 encountered Relations: rels:5151793, finalFF:463201 Max relations in full relation-set: 28 Initial matrix: 298127 x 463201 with sparse part having weight 38170491. Pruned matrix : Total sieving time: 11.69 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,48,48,2.5,2.5,100000 total time: 11.81 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
Mar 5, 2008 (3rd): By Jo Yeong Uk / GGNFS
(11·10¹⁸¹+43)/9 = 1(2)₁₈₀7_<182> = C182
C182 = P86 · P96
P86 = 17516603088503986712003230092449997330331139625362369248432951964013027291978138942617_<86>
P96 = 697750708882795525763097607759634404119636066233661493021512854651497704755817469884947029848331_<96>

Number: 12227_181 N=12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 ( 182 digits) SNFS difficulty: 182 digits. Divisors found: r1=17516603088503986712003230092449997330331139625362369248432951964013027291978138942617 (pp86) r2=697750708882795525763097607759634404119636066233661493021512854651497704755817469884947029848331 (pp96) Version: GGNFS-0.77.1-20050930-nocona Total time: 281.88 hours. Scaled time: 523.45 units (timescale=1.857). Factorization parameters were as follows: n: 12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227 m: 1000000000000000000000000000000000000 c5: 110 c0: 43 skew: 0.83 type: snfs Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [5000000, 9700001) Primes: RFBsize:664579, AFBsize:664856, largePrimes:11128366 encountered Relations: rels:11398297, finalFF:1494512 Max relations in full relation-set: 28 Initial matrix: 1329502 x 1494512 with sparse part having weight 95004589. Pruned matrix : 1185360 x 1192071 with weight 70601132. Total sieving time: 270.41 hours. Total relation processing time: 0.24 hours. Matrix solve time: 11.09 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000 total time: 281.88 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init) Calibrating delay using timer specific routine.. 4812.89 BogoMIPS (lpj=2406449) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Mar 5, 2008 (2nd): By Sinkiti Sibata / GGNFS, Msieve
(13·10¹²⁵+23)/9 = 1(4)₁₂₄7_<126> = 3² · C125
C125 = P48 · P77
P48 = 464247637731423992081446576515259298176781598923_<48>
P77 = 34570736416615334709852602535504361723332346937596499346376073111611171864021_<77>

Number: 14447_125 N=16049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383 ( 125 digits) SNFS difficulty: 126 digits. Divisors found: r1=464247637731423992081446576515259298176781598923 (pp48) r2=34570736416615334709852602535504361723332346937596499346376073111611171864021 (pp77) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.83 hours. Scaled time: 5.66 units (timescale=2.002). Factorization parameters were as follows: name: 14447_125 n: 16049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383 m: 10000000000000000000000000 c5: 13 c0: 23 skew: 1.12 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 650001) Primes: RFBsize:49098, AFBsize:63813, largePrimes:2376187 encountered Relations: rels:2731413, finalFF:452003 Max relations in full relation-set: 28 Initial matrix: 112976 x 452003 with sparse part having weight 44179581. Pruned matrix : 76716 x 77344 with weight 8442795. Total sieving time: 2.68 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.04 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.83 hours. --------- CPU info (if available) ----------
(13·10¹¹³+23)/9 = 1(4)₁₁₂7_<114> = 3 · 17 · 1058632741_<10> · C103
C103 = P49 · P54
P49 = 3726222878100481201794626013271269800973447843967_<49>
P54 = 717986894749436893374924732971774453291142110739897151_<54>

Number: 14447_113 N=2675379193391674015768106248403252111180850469561315262597489035104281804503651150211094236768275838017 ( 103 digits) SNFS difficulty: 114 digits. Divisors found: r1=3726222878100481201794626013271269800973447843967 (pp49) r2=717986894749436893374924732971774453291142110739897151 (pp54) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 2.39 hours. Scaled time: 1.61 units (timescale=0.675). Factorization parameters were as follows: name: 14447_113 n: 2675379193391674015768106248403252111180850469561315262597489035104281804503651150211094236768275838017 m: 10000000000000000000000 c5: 13000 c0: 23 skew: 0.28 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 550001) Primes: RFBsize:49098, AFBsize:64288, largePrimes:2136650 encountered Relations: rels:2262567, finalFF:264304 Max relations in full relation-set: 28 Initial matrix: 113453 x 264304 with sparse part having weight 22736905. Pruned matrix : 81275 x 81906 with weight 4814859. Total sieving time: 2.17 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.10 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,114,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.39 hours. --------- CPU info (if available) ----------
(13·10¹²⁰+23)/9 = 1(4)₁₁₉7_<121> = 19 · 29 · 1741 · 22441 · C110
C110 = P29 · P81
P29 = 76702542741648809846780802317_<29>
P81 = 874779316283849878292104906255438129819684224118598047597761358345503878142800761_<81>

Number: 14447_120 N=67097797896772318011892964303753466558069514586862341013698816283812181113638336610629295943339477297058163237 ( 110 digits) SNFS difficulty: 121 digits. Divisors found: r1=76702542741648809846780802317 (pp29) r2=874779316283849878292104906255438129819684224118598047597761358345503878142800761 (pp81) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.18 hours. Scaled time: 4.36 units (timescale=1.996). Factorization parameters were as follows: name: 14447_120 n: 67097797896772318011892964303753466558069514586862341013698816283812181113638336610629295943339477297058163237 m: 1000000000000000000000000 c5: 13 c0: 23 skew: 1.12 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 550001) Primes: RFBsize:49098, AFBsize:63813, largePrimes:2107928 encountered Relations: rels:2204496, finalFF:243834 Max relations in full relation-set: 28 Initial matrix: 112976 x 243834 with sparse part having weight 20361502. Pruned matrix : 82767 x 83395 with weight 4575859. Total sieving time: 2.06 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.03 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.18 hours. --------- CPU info (if available) ----------
(13·10¹²²+23)/9 = 1(4)₁₂₁7_<123> = 3 · 7 · C121
C121 = P57 · P65
P57 = 275974403633615893708374712313364033866417253364443479869_<57>
P65 = 24923713169568184598667917122586887747016051523773565479357462303_<65>

Number: 14447_122 N=6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307 ( 121 digits) SNFS difficulty: 123 digits. Divisors found: r1=275974403633615893708374712313364033866417253364443479869 (pp57) r2=24923713169568184598667917122586887747016051523773565479357462303 (pp65) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.80 hours. Scaled time: 5.56 units (timescale=1.989). Factorization parameters were as follows: name: 14447_122 n: 6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307 m: 1000000000000000000000000 c5: 1300 c0: 23 skew: 0.45 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 650001) Primes: RFBsize:49098, AFBsize:63628, largePrimes:2267670 encountered Relations: rels:2437211, finalFF:267892 Max relations in full relation-set: 28 Initial matrix: 112793 x 267892 with sparse part having weight 26595405. Pruned matrix : 87574 x 88201 with weight 6983607. Total sieving time: 2.65 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.04 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.80 hours. --------- CPU info (if available) ----------
(13·10¹⁰²+23)/9 = 1(4)₁₀₁7_<103> = 19 · 127 · 719 · C96
C96 = P32 · P65
P32 = 70434883300550025768921698856829_<32>
P65 = 11820254604073182658618421398181422566578014985987820143827603769_<65>

Number: 14447_102 N=832558253620683769846827853787144186216895642601442259875629886356438810202527480346341671788501 ( 96 digits) SNFS difficulty: 103 digits. Divisors found: r1=70434883300550025768921698856829 (pp32) r2=11820254604073182658618421398181422566578014985987820143827603769 (pp65) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 0.99 hours. Scaled time: 0.67 units (timescale=0.675). Factorization parameters were as follows: name: 14447_102 n: 832558253620683769846827853787144186216895642601442259875629886356438810202527480346341671788501 m: 100000000000000000000 c5: 1300 c0: 23 skew: 0.45 type: snfs Factor base limits: 450000/500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [250000, 330001) Primes: RFBsize:37706, AFBsize:41177, largePrimes:1166798 encountered Relations: rels:1153342, finalFF:152299 Max relations in full relation-set: 28 Initial matrix: 78950 x 152299 with sparse part having weight 5949155. Pruned matrix : 50513 x 50971 with weight 1512615. Total sieving time: 0.91 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.02 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,103,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000 total time: 0.99 hours. --------- CPU info (if available) ----------
(13·10¹²⁷+23)/9 = 1(4)₁₂₆7_<128> = 103 · 67089542389_<11> · 202509386109599571491_<21> · C95
C95 = P35 · P60
P35 = 14549579140164833600801209324805687_<35>
P60 = 709435963265061108754917795311933782934023902804157269931073_<60>

Wed Mar 5 10:06:03 2008 Msieve v. 1.33 Wed Mar 5 10:06:03 2008 random seeds: 27375a1b 327ed101 Wed Mar 5 10:06:03 2008 factoring 10321994692404078283128677812981837955842846798890256131362566317922455981262533583263608412151 (95 digits) Wed Mar 5 10:06:04 2008 searching for 15-digit factors Wed Mar 5 10:06:06 2008 commencing quadratic sieve (95-digit input) Wed Mar 5 10:06:06 2008 using multiplier of 7 Wed Mar 5 10:06:06 2008 using 64kb Pentium 4 sieve core Wed Mar 5 10:06:06 2008 sieve interval: 18 blocks of size 65536 Wed Mar 5 10:06:06 2008 processing polynomials in batches of 6 Wed Mar 5 10:06:06 2008 using a sieve bound of 2089273 (77647 primes) Wed Mar 5 10:06:06 2008 using large prime bound of 296676766 (28 bits) Wed Mar 5 10:06:06 2008 using double large prime bound of 1778731187411554 (42-51 bits) Wed Mar 5 10:06:06 2008 using trial factoring cutoff of 51 bits Wed Mar 5 10:06:06 2008 polynomial 'A' values have 12 factors Wed Mar 5 12:08:31 2008 12072 relations (7942 full + 4130 combined from 454959 partial), need 77743 Wed Mar 5 12:08:31 2008 elapsed time 02:02:28 Wed Mar 5 12:14:47 2008 Wed Mar 5 12:14:47 2008 Wed Mar 5 12:14:47 2008 Msieve v. 1.33 Wed Mar 5 12:14:47 2008 random seeds: 86a08dc3 c441004f Wed Mar 5 12:14:47 2008 factoring 10321994692404078283128677812981837955842846798890256131362566317922455981262533583263608412151 (95 digits) Wed Mar 5 12:14:49 2008 searching for 15-digit factors Wed Mar 5 12:14:50 2008 commencing quadratic sieve (95-digit input) Wed Mar 5 12:14:51 2008 using multiplier of 7 Wed Mar 5 12:14:51 2008 using 64kb Pentium 4 sieve core Wed Mar 5 12:14:51 2008 sieve interval: 18 blocks of size 65536 Wed Mar 5 12:14:51 2008 processing polynomials in batches of 6 Wed Mar 5 12:14:51 2008 using a sieve bound of 2089273 (77647 primes) Wed Mar 5 12:14:51 2008 using large prime bound of 296676766 (28 bits) Wed Mar 5 12:14:51 2008 using double large prime bound of 1778731187411554 (42-51 bits) Wed Mar 5 12:14:51 2008 using trial factoring cutoff of 51 bits Wed Mar 5 12:14:51 2008 polynomial 'A' values have 12 factors Wed Mar 5 12:14:53 2008 restarting with 7942 full and 454959 partial relations Wed Mar 5 15:14:40 2008 77879 relations (19845 full + 58034 combined from 1123077 partial), need 77743 Wed Mar 5 15:14:44 2008 begin with 1142922 relations Wed Mar 5 15:14:45 2008 reduce to 199389 relations in 11 passes Wed Mar 5 15:14:45 2008 attempting to read 199389 relations Wed Mar 5 15:14:52 2008 recovered 199389 relations Wed Mar 5 15:14:52 2008 recovered 180691 polynomials Wed Mar 5 15:14:52 2008 attempting to build 77879 cycles Wed Mar 5 15:14:52 2008 found 77879 cycles in 5 passes Wed Mar 5 15:14:52 2008 distribution of cycle lengths: Wed Mar 5 15:14:52 2008 length 1 : 19845 Wed Mar 5 15:14:52 2008 length 2 : 13964 Wed Mar 5 15:14:52 2008 length 3 : 13369 Wed Mar 5 15:14:52 2008 length 4 : 10242 Wed Mar 5 15:14:52 2008 length 5 : 7679 Wed Mar 5 15:14:52 2008 length 6 : 5238 Wed Mar 5 15:14:52 2008 length 7 : 3216 Wed Mar 5 15:14:52 2008 length 9+: 4326 Wed Mar 5 15:14:52 2008 largest cycle: 20 relations Wed Mar 5 15:14:53 2008 matrix is 77647 x 77879 (20.6 MB) with weight 5088222 (65.33/col) Wed Mar 5 15:14:53 2008 sparse part has weight 5088222 (65.33/col) Wed Mar 5 15:14:54 2008 filtering completed in 3 passes Wed Mar 5 15:14:54 2008 matrix is 73464 x 73528 (19.6 MB) with weight 4841271 (65.84/col) Wed Mar 5 15:14:54 2008 sparse part has weight 4841271 (65.84/col) Wed Mar 5 15:14:55 2008 saving the first 48 matrix rows for later Wed Mar 5 15:14:55 2008 matrix is 73416 x 73528 (13.1 MB) with weight 3903883 (53.09/col) Wed Mar 5 15:14:55 2008 sparse part has weight 2988911 (40.65/col) Wed Mar 5 15:14:55 2008 matrix includes 64 packed rows Wed Mar 5 15:14:55 2008 using block size 21845 for processor cache size 512 kB Wed Mar 5 15:14:56 2008 commencing Lanczos iteration Wed Mar 5 15:14:56 2008 memory use: 12.2 MB Wed Mar 5 15:15:52 2008 lanczos halted after 1163 iterations (dim = 73416) Wed Mar 5 15:15:52 2008 recovered 18 nontrivial dependencies Wed Mar 5 15:15:54 2008 prp35 factor: 14549579140164833600801209324805687 Wed Mar 5 15:15:54 2008 prp60 factor: 709435963265061108754917795311933782934023902804157269931073 Wed Mar 5 15:15:54 2008 elapsed time 03:01:07
(13·10¹²⁸+23)/9 = 1(4)₁₂₇7_<129> = 3 · 7⁴ · 359 · 66612700003_<11> · C111
C111 = P40 · P72
P40 = 1331167551723961827044232908143687891357_<40>
P72 = 629945850433649252006066469143506208365518616550926335658920273196015541_<72>

Number: 14447_128 N=838563475440429911604775130570202481413951328063949760496483468128502165941145216382236679614537068220491579137 ( 111 digits) SNFS difficulty: 129 digits. Divisors found: r1=1331167551723961827044232908143687891357 (pp40) r2=629945850433649252006066469143506208365518616550926335658920273196015541 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.14 hours. Scaled time: 10.24 units (timescale=1.994). Factorization parameters were as follows: name: 14447_128 n: 838563475440429911604775130570202481413951328063949760496483468128502165941145216382236679614537068220491579137 m: 10000000000000000000000000 c5: 13000 c0: 23 skew: 0.28 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1050001) Primes: RFBsize:63951, AFBsize:64288, largePrimes:1511938 encountered Relations: rels:1504917, finalFF:163874 Max relations in full relation-set: 28 Initial matrix: 128306 x 163874 with sparse part having weight 13141347. Pruned matrix : 118297 x 119002 with weight 7752790. Total sieving time: 4.95 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 5.14 hours. --------- CPU info (if available) ----------
Mar 5, 2008: By Robert Backstrom / Msieve, GGNFS, GMP-ECM
(13·10¹¹¹+23)/9 = 1(4)₁₁₀7_<112> = 863 · 386881426812688222963_<21> · C88
C88 = P30 · P58
P30 = 536034555099477259492189339343_<30>
P58 = 8070851920836102438701243831587152825693030353472471416341_<58>

Tue Mar 04 23:42:15 2008 Tue Mar 04 23:42:15 2008 Tue Mar 04 23:42:15 2008 Msieve v. 1.33 Tue Mar 04 23:42:15 2008 random seeds: 57339918 0c0c728b Tue Mar 04 23:42:15 2008 factoring 4326255518659141629515683748908033460381740031260391059780038497503711961665328284403963 (88 digits) Tue Mar 04 23:42:16 2008 searching for 15-digit factors Tue Mar 04 23:42:17 2008 commencing quadratic sieve (88-digit input) Tue Mar 04 23:42:17 2008 using multiplier of 3 Tue Mar 04 23:42:17 2008 using 64kb Opteron sieve core Tue Mar 04 23:42:17 2008 sieve interval: 14 blocks of size 65536 Tue Mar 04 23:42:17 2008 processing polynomials in batches of 8 Tue Mar 04 23:42:17 2008 using a sieve bound of 1527521 (57923 primes) Tue Mar 04 23:42:17 2008 using large prime bound of 122201680 (26 bits) Tue Mar 04 23:42:17 2008 using double large prime bound of 360361878370480 (42-49 bits) Tue Mar 04 23:42:17 2008 using trial factoring cutoff of 49 bits Tue Mar 04 23:42:17 2008 polynomial 'A' values have 11 factors Wed Mar 05 00:49:17 2008 58176 relations (15416 full + 42760 combined from 618473 partial), need 58019 Wed Mar 05 00:49:17 2008 begin with 633888 relations Wed Mar 05 00:49:18 2008 reduce to 142616 relations in 9 passes Wed Mar 05 00:49:18 2008 attempting to read 142616 relations Wed Mar 05 00:49:20 2008 recovered 142616 relations Wed Mar 05 00:49:20 2008 recovered 122108 polynomials Wed Mar 05 00:49:20 2008 attempting to build 58176 cycles Wed Mar 05 00:49:20 2008 found 58176 cycles in 5 passes Wed Mar 05 00:49:20 2008 distribution of cycle lengths: Wed Mar 05 00:49:20 2008 length 1 : 15416 Wed Mar 05 00:49:20 2008 length 2 : 10978 Wed Mar 05 00:49:20 2008 length 3 : 10060 Wed Mar 05 00:49:20 2008 length 4 : 7766 Wed Mar 05 00:49:20 2008 length 5 : 5579 Wed Mar 05 00:49:20 2008 length 6 : 3567 Wed Mar 05 00:49:20 2008 length 7 : 2188 Wed Mar 05 00:49:20 2008 length 9+: 2622 Wed Mar 05 00:49:20 2008 largest cycle: 19 relations Wed Mar 05 00:49:20 2008 matrix is 57923 x 58176 (14.2 MB) with weight 3482798 (59.87/col) Wed Mar 05 00:49:20 2008 sparse part has weight 3482798 (59.87/col) Wed Mar 05 00:49:21 2008 filtering completed in 3 passes Wed Mar 05 00:49:21 2008 matrix is 54291 x 54355 (13.3 MB) with weight 3277175 (60.29/col) Wed Mar 05 00:49:21 2008 sparse part has weight 3277175 (60.29/col) Wed Mar 05 00:49:21 2008 saving the first 48 matrix rows for later Wed Mar 05 00:49:21 2008 matrix is 54243 x 54355 (9.4 MB) with weight 2674396 (49.20/col) Wed Mar 05 00:49:21 2008 sparse part has weight 2135619 (39.29/col) Wed Mar 05 00:49:21 2008 matrix includes 64 packed rows Wed Mar 05 00:49:21 2008 using block size 21742 for processor cache size 512 kB Wed Mar 05 00:49:22 2008 commencing Lanczos iteration Wed Mar 05 00:49:22 2008 memory use: 8.7 MB Wed Mar 05 00:49:50 2008 lanczos halted after 859 iterations (dim = 54239) Wed Mar 05 00:49:50 2008 recovered 16 nontrivial dependencies Wed Mar 05 00:49:50 2008 prp30 factor: 536034555099477259492189339343 Wed Mar 05 00:49:50 2008 prp58 factor: 8070851920836102438701243831587152825693030353472471416341 Wed Mar 05 00:49:50 2008 elapsed time 01:07:35
(13·10¹⁰⁹+23)/9 = 1(4)₁₀₈7_<110> = 61 · 277 · 503 · 1831601 · 2156071 · C90
C90 = P41 · P49
P41 = 51656325972977006306990866008287770891019_<41>
P49 = 8331166415227273953870412449749267635633640111533_<49>

Tue Mar 04 23:46:07 2008 Tue Mar 04 23:46:07 2008 Tue Mar 04 23:46:07 2008 Msieve v. 1.33 Tue Mar 04 23:46:07 2008 random seeds: 8428a2f4 b1ad526f Tue Mar 04 23:46:07 2008 factoring 430357448080098369958342847236693571262718451457671118447147565165570370519810229948022127 (90 digits) Tue Mar 04 23:46:07 2008 searching for 15-digit factors Tue Mar 04 23:46:08 2008 commencing quadratic sieve (90-digit input) Tue Mar 04 23:46:09 2008 using multiplier of 2 Tue Mar 04 23:46:09 2008 using 64kb Opteron sieve core Tue Mar 04 23:46:09 2008 sieve interval: 18 blocks of size 65536 Tue Mar 04 23:46:09 2008 processing polynomials in batches of 6 Tue Mar 04 23:46:09 2008 using a sieve bound of 1574231 (60000 primes) Tue Mar 04 23:46:09 2008 using large prime bound of 125938480 (26 bits) Tue Mar 04 23:46:09 2008 using double large prime bound of 380439116353840 (42-49 bits) Tue Mar 04 23:46:09 2008 using trial factoring cutoff of 49 bits Tue Mar 04 23:46:09 2008 polynomial 'A' values have 11 factors Wed Mar 05 01:00:09 2008 60199 relations (16261 full + 43938 combined from 633692 partial), need 60096 Wed Mar 05 01:00:09 2008 begin with 649952 relations Wed Mar 05 01:00:10 2008 reduce to 146246 relations in 9 passes Wed Mar 05 01:00:10 2008 attempting to read 146246 relations Wed Mar 05 01:00:11 2008 recovered 146246 relations Wed Mar 05 01:00:11 2008 recovered 124895 polynomials Wed Mar 05 01:00:11 2008 attempting to build 60199 cycles Wed Mar 05 01:00:11 2008 found 60199 cycles in 5 passes Wed Mar 05 01:00:12 2008 distribution of cycle lengths: Wed Mar 05 01:00:12 2008 length 1 : 16261 Wed Mar 05 01:00:12 2008 length 2 : 11453 Wed Mar 05 01:00:12 2008 length 3 : 10730 Wed Mar 05 01:00:12 2008 length 4 : 8114 Wed Mar 05 01:00:12 2008 length 5 : 5490 Wed Mar 05 01:00:12 2008 length 6 : 3603 Wed Mar 05 01:00:12 2008 length 7 : 2053 Wed Mar 05 01:00:12 2008 length 9+: 2495 Wed Mar 05 01:00:12 2008 largest cycle: 18 relations Wed Mar 05 01:00:12 2008 matrix is 60000 x 60199 (15.0 MB) with weight 3689568 (61.29/col) Wed Mar 05 01:00:12 2008 sparse part has weight 3689568 (61.29/col) Wed Mar 05 01:00:13 2008 filtering completed in 3 passes Wed Mar 05 01:00:13 2008 matrix is 56104 x 56168 (14.1 MB) with weight 3476829 (61.90/col) Wed Mar 05 01:00:13 2008 sparse part has weight 3476829 (61.90/col) Wed Mar 05 01:00:14 2008 saving the first 48 matrix rows for later Wed Mar 05 01:00:14 2008 matrix is 56056 x 56168 (10.7 MB) with weight 2936910 (52.29/col) Wed Mar 05 01:00:14 2008 sparse part has weight 2473574 (44.04/col) Wed Mar 05 01:00:14 2008 matrix includes 64 packed rows Wed Mar 05 01:00:14 2008 using block size 21845 for processor cache size 512 kB Wed Mar 05 01:00:15 2008 commencing Lanczos iteration Wed Mar 05 01:00:15 2008 memory use: 9.5 MB Wed Mar 05 01:00:45 2008 lanczos halted after 888 iterations (dim = 56056) Wed Mar 05 01:00:45 2008 recovered 18 nontrivial dependencies Wed Mar 05 01:00:46 2008 prp41 factor: 51656325972977006306990866008287770891019 Wed Mar 05 01:00:46 2008 prp49 factor: 8331166415227273953870412449749267635633640111533 Wed Mar 05 01:00:46 2008 elapsed time 01:14:39
(13·10¹⁴³+23)/9 = 1(4)₁₄₂7_<144> = 3² · 2389 · 72881353 · 6508800369946252997_<19> · 8247464312828826073_<19> · C94
C94 = P36 · P59
P36 = 123511028190274527084942581597557283_<36>
P59 = 13902683100663382375897508514348828772415433347065218804613_<59>

Wed Mar 05 03:26:30 2008 Wed Mar 05 03:26:30 2008 Wed Mar 05 03:26:30 2008 Msieve v. 1.33 Wed Mar 05 03:26:30 2008 random seeds: 65fa8740 8a59d135 Wed Mar 05 03:26:30 2008 factoring 1717134684366488291394731960743091276564277158246508109775225266573224151784451098838052146479 (94 digits) Wed Mar 05 03:26:30 2008 searching for 15-digit factors Wed Mar 05 03:26:31 2008 commencing quadratic sieve (94-digit input) Wed Mar 05 03:26:32 2008 using multiplier of 15 Wed Mar 05 03:26:32 2008 using 64kb Opteron sieve core Wed Mar 05 03:26:32 2008 sieve interval: 18 blocks of size 65536 Wed Mar 05 03:26:32 2008 processing polynomials in batches of 6 Wed Mar 05 03:26:32 2008 using a sieve bound of 1990243 (74118 primes) Wed Mar 05 03:26:32 2008 using large prime bound of 256741347 (27 bits) Wed Mar 05 03:26:32 2008 using double large prime bound of 1371173633837307 (42-51 bits) Wed Mar 05 03:26:32 2008 using trial factoring cutoff of 51 bits Wed Mar 05 03:26:32 2008 polynomial 'A' values have 12 factors Wed Mar 05 06:35:53 2008 74238 relations (18185 full + 56053 combined from 1032668 partial), need 74214 Wed Mar 05 06:35:57 2008 begin with 1050852 relations Wed Mar 05 06:35:58 2008 reduce to 191869 relations in 11 passes Wed Mar 05 06:35:58 2008 attempting to read 191869 relations Wed Mar 05 06:36:00 2008 recovered 191869 relations Wed Mar 05 06:36:00 2008 recovered 176205 polynomials Wed Mar 05 06:36:00 2008 attempting to build 74238 cycles Wed Mar 05 06:36:01 2008 found 74238 cycles in 6 passes Wed Mar 05 06:36:01 2008 distribution of cycle lengths: Wed Mar 05 06:36:01 2008 length 1 : 18185 Wed Mar 05 06:36:01 2008 length 2 : 13189 Wed Mar 05 06:36:01 2008 length 3 : 12714 Wed Mar 05 06:36:01 2008 length 4 : 10226 Wed Mar 05 06:36:01 2008 length 5 : 7472 Wed Mar 05 06:36:01 2008 length 6 : 5043 Wed Mar 05 06:36:01 2008 length 7 : 3156 Wed Mar 05 06:36:01 2008 length 9+: 4253 Wed Mar 05 06:36:01 2008 largest cycle: 24 relations Wed Mar 05 06:36:02 2008 matrix is 74118 x 74238 (19.7 MB) with weight 4865840 (65.54/col) Wed Mar 05 06:36:02 2008 sparse part has weight 4865840 (65.54/col) Wed Mar 05 06:36:03 2008 filtering completed in 3 passes Wed Mar 05 06:36:03 2008 matrix is 70536 x 70600 (18.9 MB) with weight 4665097 (66.08/col) Wed Mar 05 06:36:03 2008 sparse part has weight 4665097 (66.08/col) Wed Mar 05 06:36:04 2008 saving the first 48 matrix rows for later Wed Mar 05 06:36:04 2008 matrix is 70488 x 70600 (12.2 MB) with weight 3707945 (52.52/col) Wed Mar 05 06:36:04 2008 sparse part has weight 2783659 (39.43/col) Wed Mar 05 06:36:04 2008 matrix includes 64 packed rows Wed Mar 05 06:36:04 2008 using block size 21845 for processor cache size 512 kB Wed Mar 05 06:36:05 2008 commencing Lanczos iteration Wed Mar 05 06:36:05 2008 memory use: 11.6 MB Wed Mar 05 06:36:57 2008 lanczos halted after 1116 iterations (dim = 70488) Wed Mar 05 06:36:57 2008 recovered 19 nontrivial dependencies Wed Mar 05 06:36:58 2008 prp36 factor: 123511028190274527084942581597557283 Wed Mar 05 06:36:58 2008 prp59 factor: 13902683100663382375897508514348828772415433347065218804613 Wed Mar 05 06:36:58 2008 elapsed time 03:10:28
(13·10¹²⁹+23)/9 = 1(4)₁₂₈7_<130> = 17 · 71986679 · 388579423 · 131638082375417_<15> · C98
C98 = P47 · P52
P47 = 13768205563065773942619038565998211282092437391_<47>
P52 = 1675950144686658660252724258618579568960643440587009_<52>

Wed Mar 05 03:30:18 2008 Wed Mar 05 03:30:18 2008 Wed Mar 05 03:30:18 2008 Msieve v. 1.33 Wed Mar 05 03:30:18 2008 random seeds: d10cd0c0 9dd72070 Wed Mar 05 03:30:18 2008 factoring 23074826105495742506622674792561962201588789050204835605232101724517444864855960547764664620453519 (98 digits) Wed Mar 05 03:30:19 2008 searching for 15-digit factors Wed Mar 05 03:30:20 2008 commencing quadratic sieve (98-digit input) Wed Mar 05 03:30:20 2008 using multiplier of 11 Wed Mar 05 03:30:20 2008 using 64kb Opteron sieve core Wed Mar 05 03:30:20 2008 sieve interval: 18 blocks of size 65536 Wed Mar 05 03:30:20 2008 processing polynomials in batches of 6 Wed Mar 05 03:30:20 2008 using a sieve bound of 2473349 (90330 primes) Wed Mar 05 03:30:20 2008 using large prime bound of 371002350 (28 bits) Wed Mar 05 03:30:20 2008 using double large prime bound of 2659977403806750 (43-52 bits) Wed Mar 05 03:30:20 2008 using trial factoring cutoff of 52 bits Wed Mar 05 03:30:20 2008 polynomial 'A' values have 13 factors Wed Mar 05 12:38:05 2008 90750 relations (21941 full + 68809 combined from 1363815 partial), need 90426 Wed Mar 05 12:38:08 2008 begin with 1385755 relations Wed Mar 05 12:38:09 2008 reduce to 237350 relations in 11 passes Wed Mar 05 12:38:09 2008 attempting to read 237350 relations Wed Mar 05 12:38:14 2008 recovered 237350 relations Wed Mar 05 12:38:14 2008 recovered 225131 polynomials Wed Mar 05 12:38:14 2008 attempting to build 90750 cycles Wed Mar 05 12:38:14 2008 found 90750 cycles in 6 passes Wed Mar 05 12:38:14 2008 distribution of cycle lengths: Wed Mar 05 12:38:14 2008 length 1 : 21941 Wed Mar 05 12:38:14 2008 length 2 : 15721 Wed Mar 05 12:38:14 2008 length 3 : 15481 Wed Mar 05 12:38:14 2008 length 4 : 12234 Wed Mar 05 12:38:14 2008 length 5 : 9403 Wed Mar 05 12:38:14 2008 length 6 : 6298 Wed Mar 05 12:38:14 2008 length 7 : 4060 Wed Mar 05 12:38:14 2008 length 9+: 5612 Wed Mar 05 12:38:14 2008 largest cycle: 20 relations Wed Mar 05 12:38:15 2008 matrix is 90330 x 90750 (24.6 MB) with weight 6080981 (67.01/col) Wed Mar 05 12:38:15 2008 sparse part has weight 6080981 (67.01/col) Wed Mar 05 12:38:16 2008 filtering completed in 3 passes Wed Mar 05 12:38:16 2008 matrix is 86232 x 86294 (23.4 MB) with weight 5793589 (67.14/col) Wed Mar 05 12:38:16 2008 sparse part has weight 5793589 (67.14/col) Wed Mar 05 12:38:17 2008 saving the first 48 matrix rows for later Wed Mar 05 12:38:17 2008 matrix is 86184 x 86294 (14.4 MB) with weight 4567270 (52.93/col) Wed Mar 05 12:38:17 2008 sparse part has weight 3257116 (37.74/col) Wed Mar 05 12:38:17 2008 matrix includes 64 packed rows Wed Mar 05 12:38:17 2008 using block size 21845 for processor cache size 512 kB Wed Mar 05 12:38:18 2008 commencing Lanczos iteration Wed Mar 05 12:38:18 2008 memory use: 14.0 MB Wed Mar 05 12:39:35 2008 lanczos halted after 1364 iterations (dim = 86180) Wed Mar 05 12:39:35 2008 recovered 15 nontrivial dependencies Wed Mar 05 12:39:36 2008 prp47 factor: 13768205563065773942619038565998211282092437391 Wed Mar 05 12:39:36 2008 prp52 factor: 1675950144686658660252724258618579568960643440587009 Wed Mar 05 12:39:36 2008 elapsed time 09:09:18
(13·10¹⁸²+23)/9 = 1(4)₁₈₁7_<183> = 3 · 7 · 431 · 504877 · 302900359194380622368791_<24> · 620741362332478637843569_<24> · 1652669751954615254434527463_<28> · C99
C99 = P45 · P54
P45 = 102018902795014993632340869013035640829170549_<45>
P54 = 997106370883333600948149656195325748620925984243486157_<54>

Number: n N=101723697927436979167016362493984010049479223127573581459834966967550634921943382131172246473590193 ( 99 digits) Divisors found: r1=102018902795014993632340869013035640829170549 (pp45) r2=997106370883333600948149656195325748620925984243486157 (pp54) Version: GGNFS-0.77.1-20051202-athlon Total time: 4.25 hours. Scaled time: 6.15 units (timescale=1.447). Factorization parameters were as follows: name: KA_1_4_181_7 n: 101723697927436979167016362493984010049479223127573581459834966967550634921943382131172246473590193 skew: 6786.40 # norm 6.40e+12 c5: 6720 c4: -46547316 c3: -657241524361 c2: 745994210091040 c1: 19255522875488259842 c0: 27254605737004070974296 # alpha -4.83 Y1: 3483090343 Y0: -6855053980282929445 # Murphy_E 4.58e-09 # M 75668479141657735935132313982434429942620819883454237349454038312847628844105708453299769010362350 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 600001) Primes: RFBsize:135072, AFBsize:135868, largePrimes:3060466 encountered Relations: rels:2953693, finalFF:326435 Max relations in full relation-set: 28 Initial matrix: 271017 x 326435 with sparse part having weight 13200354. Pruned matrix : 198762 x 200181 with weight 5770811. Total sieving time: 3.70 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.31 hours. Total square root time: 0.13 hours, sqrts: 3. Prototype def-par.txt line would be: gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 4.25 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+
(7·10¹⁶⁷-1)/3 = 2(3)₁₆₇_<168> = 17 · 3747630585556522367279_<22> · 206478253946877556425611_<24> · C122
C122 = P43 · P80
P43 = 1475524985797736524823505686019457306026851_<43>
P80 = 12021265864330860490642857097445746591366152448633295697093349156568276428128971_<80>
Mar 4, 2008: The factor table of 144...447 was extended to n=200. Those composite numbers had been tested 430 times by GMP-ECM B1=250000. So, unknown prime factors of them are probably greater than 10³⁰.
Mar 3, 2008 (3rd): By Sinkiti Sibata / PFGW
(4·10¹⁴²⁹⁶+17)/3 is PRP.
Mar 3, 2008 (2nd): By Robert Backstrom / GMP-ECM, GGNFS, Msieve
(4·10¹⁵⁹+17)/3 = 1(3)₁₅₈9_<160> = 13 · 5336181127_<10> · 74302623841_<11> · 15962304105811289_<17> · C122
C122 = P34 · P88
P34 = 6712335232775758523886486797289601_<34>
P88 = 2414301214334435801406014836781291748305862176834703050235565295072747708123609133613961_<88>
(4·10¹⁵⁸+17)/3 = 1(3)₁₅₇9_<159> = 210713 · 247727401 · 8261945423_<10> · 694394829684084648059_<21> · C114
C114 = P37 · P78
P37 = 2314877192735084930952330849764046313_<37>
P78 = 192334239043421111920406360429117553604774190411975262010918731321162335043383_<78>
(2·10¹⁸⁴-17)/3 = (6)₁₈₃1_<184> = 4219 · C181
C181 = P41 · P140
P41 = 28609253572869545857217493537739138154543_<41>
P140 = 55232244030516686639554241888671996746003277183153779948952860532194772336143354262308238021016571932827843863807642854182781471008243425233_<140>

Number: n N=1580153274867662163229833293829501461641779252587500987595796792288852018645808643438413526112032867188117247372995180532511653630402149008453820020541992573279608121987832819783519 ( 181 digits) SNFS difficulty: 185 digits. Divisors found: Mon Mar 03 02:24:58 2008 prp41 factor: 28609253572869545857217493537739138154543 Mon Mar 03 02:24:58 2008 prp140 factor: 55232244030516686639554241888671996746003277183153779948952860532194772336143354262308238021016571932827843863807642854182781471008243425233 Mon Mar 03 02:24:58 2008 elapsed time 03:13:48 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-athlon Total time: 265.53 hours. [ CPU 1 of 3 ] Scaled time: 384.49 units (timescale=1.448). Factorization parameters were as follows: name: KA_6_183_1 n: 1580153274867662163229833293829501461641779252587500987595796792288852018645808643438413526112032867188117247372995180532511653630402149008453820020541992573279608121987832819783519 type: snfs deg: 5 c5: 1 c0: -85 skew: 2.43 m: 10000000000000000000000000000000000000 rlim: 8000000 alim: 8000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 10943909) Primes: RFBsize:539777, AFBsize:540420, largePrimes:4532205 encountered Relations: rels:4098423, finalFF:397632 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 265.37 hours. Total relation processing time: 0.16 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,48,48,2.5,2.5,100000 total time: 265.53 hours. --------- CPU info (if available) ----------
10¹⁸³+3 = 1(0)₁₈₂3_<184> = 151 · C181
C181 = P85 · P97
P85 = 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957_<85>
P97 = 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929_<97>

Number: n N=6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053 ( 181 digits) SNFS difficulty: 183 digits. Divisors found: Mon Mar 03 02:33:02 2008 prp85 factor: 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957 Mon Mar 03 02:33:02 2008 prp97 factor: 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929 Mon Mar 03 02:33:02 2008 elapsed time 01:55:13 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 267.26 hours. [ CPU 1 of 4 ] Scaled time: 225.03 units (timescale=0.842). Factorization parameters were as follows: name: KA_1_0_182_3 n: 6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192053 type: snfs deg: 5 c5: 1000 c0: 3 skew: 0.31 m: 1000000000000000000000000000000000000 rlim: 8000000 alim: 8000000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 18522211) Primes: RFBsize:539777, AFBsize:539335, largePrimes:5050824 encountered Relations: rels:4702361, finalFF:450163 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 267.12 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,48,48,2.5,2.5,100000 total time: 267.26 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).
Mar 3, 2008: By Sinkiti Sibata / PRIMO
(4·10²⁶⁶⁸+17)/3 is prime.
Mar 2, 2008 (2nd): By matsui / GGNFS
3·10¹⁸⁰+1 = 3(0)₁₇₉1_<181> = 661 · C178
C178 = P54 · P55 · P70
P54 = 430259544631759600727768857693217721153099730144795861_<54>
P55 = 1538326517326993101925943385140082111132168130040478949_<55>
P70 = 6857104304052897516728603587977821413916030196167551914714888140645269_<70>

N=4538577912254160363086232980332829046898638426626323751891074130105900151285930408472012102874432677760968229954614220877458396369137670196671709531013615733736762481089258698941 ( 178 digits) SNFS difficulty: 180 digits. Divisors found: r1=430259544631759600727768857693217721153099730144795861 (pp54) r2=1538326517326993101925943385140082111132168130040478949 (pp55) r3=6857104304052897516728603587977821413916030196167551914714888140645269 (pp70) Version: GGNFS-0.77.1-20060513-prescott Total time: 355.58 hours. Scaled time: 400.03 units (timescale=1.125). Factorization parameters were as follows: n: 4538577912254160363086232980332829046898638426626323751891074130105900151285930408472012102874432677760968229954614220877458396369137670196671709531013615733736762481089258698941 m: 1000000000000000000000000000000000000 c5: 3 c0: 1 skew: 0.80 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 8000001) Primes: RFBsize:501962, AFBsize:501561, largePrimes:6416877 encountered Relations: rels:6927553, finalFF:1185317 Max relations in full relation-set: 28 Initial matrix: 1003588 x 1185317 with sparse part having weight 59042752. Pruned matrix : 844680 x 849761 with weight 42505130. Total sieving time: 338.73 hours. Total relation processing time: 0.15 hours. Matrix solve time: 16.32 hours. Time per square root: 0.38 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 355.58 hours.
Mar 3, 2008: By Sinkiti Sibata / PRIMO
(4·10²⁶⁶⁸+17)/3 is prime.
Mar 2, 2008 (2nd): By matsui / GGNFS
3·10¹⁸⁰+1 = 3(0)₁₇₉1_<181> = 661 · C178
C178 = P54 · P55 · P70
P54 = 430259544631759600727768857693217721153099730144795861_<54>
P55 = 1538326517326993101925943385140082111132168130040478949_<55>
P70 = 6857104304052897516728603587977821413916030196167551914714888140645269_<70>

N=4538577912254160363086232980332829046898638426626323751891074130105900151285930408472012102874432677760968229954614220877458396369137670196671709531013615733736762481089258698941 ( 178 digits) SNFS difficulty: 180 digits. Divisors found: r1=430259544631759600727768857693217721153099730144795861 (pp54) r2=1538326517326993101925943385140082111132168130040478949 (pp55) r3=6857104304052897516728603587977821413916030196167551914714888140645269 (pp70) Version: GGNFS-0.77.1-20060513-prescott Total time: 355.58 hours. Scaled time: 400.03 units (timescale=1.125). Factorization parameters were as follows: n: 4538577912254160363086232980332829046898638426626323751891074130105900151285930408472012102874432677760968229954614220877458396369137670196671709531013615733736762481089258698941 m: 1000000000000000000000000000000000000 c5: 3 c0: 1 skew: 0.80 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 8000001) Primes: RFBsize:501962, AFBsize:501561, largePrimes:6416877 encountered Relations: rels:6927553, finalFF:1185317 Max relations in full relation-set: 28 Initial matrix: 1003588 x 1185317 with sparse part having weight 59042752. Pruned matrix : 844680 x 849761 with weight 42505130. Total sieving time: 338.73 hours. Total relation processing time: 0.15 hours. Matrix solve time: 16.32 hours. Time per square root: 0.38 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 355.58 hours.
Mar 2, 2008: By Kenji Ibusuki / GGNFS
4·10¹⁶⁵+1 = 4(0)₁₆₄1_<166> = 23743 · 80900761 · 513790423 · 61142992571_<11> · C134
C134 = P64 · P70
P64 = 7779120398579544883895822513251508700047607501669183213883240931_<64>
P70 = 8521353913589854424771282379603548481995888227244581651836279018886769_<70>

Number: 40001_165 N=66288638052722473026075484215560691185478806573826992792051302562378578914894418060101191373980449366238323280750797702826113435141939 ( 134 digits) SNFS difficulty: 165 digits. Divisors found: r1=7779120398579544883895822513251508700047607501669183213883240931 (pp64) r2=8521353913589854424771282379603548481995888227244581651836279018886769 (pp70) Version: GGNFS-0.77.1 Total time: 51.86 hours. Scaled time: 150.19 units (timescale=2.896). Factorization parameters were as follows: n: 66288638052722473026075484215560691185478806573826992792051302562378578914894418060101191373980449366238323280750797702826113435141939 m: 1000000000000000000000000000000000 c5: 4 c0: 1 skew: 0.76 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2500000, 5000001) Relations: rels:6616882, finalFF:1050519 Initial matrix: 696753 x 1050519 with sparse part having weight 62728387. Pruned matrix : 562745 x 566292 with weight 26430629. Total sieving time: 50.22 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.47 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000 total time: 51.86 hours. --------- CPU info (if available) ----------

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