News and updates, March 2007

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News and updates, March 2007	2007-04-03(Tue) 11:06

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News and updates, March 2007

Mar 31, 2007 (4th): By suberi / GGNFS-0.77.1-20060513-pentium4, GMP-ECM 6.1.2 B1=1500000
6·10¹³⁴+1 = 6(0)₁₃₃1_<135> = 13183 · 56512788861073_<14> · C117
C117 = P37 · P38 · P43
P37 = 4433404553816215317147736447963746529_<37>
P38 = 95562856740921441632025329178966092257_<38>
P43 = 1900919699476513791402495760985135475898063_<43>

Number: 60001_134 N=805360376054171448926513211091415837287242409322705512939398427708441937403689882581959931662204102681244824764929039 ( 117 digits) SNFS difficulty: 135 digits. Divisors found: r1=4433404553816215317147736447963746529 (pp37) r2=95562856740921441632025329178966092257 (pp38) r3=1900919699476513791402495760985135475898063 (pp43) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 8.00 hours. Scaled time: 4.86 units (timescale=0.607). Factorization parameters were as follows: n: 805360376054171448926513211091415837287242409322705512939398427708441937403689882581959931662204102681244824764929039 m: 1000000000000000000000000000 c5: 3 c0: 5 skew: 1.11 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, 1075001) Primes: RFBsize:78498, AFBsize:63968, largePrimes:1495955 encountered Relations: rels:1492100, finalFF:171961 Max relations in full relation-set: 28 Initial matrix: 142531 x 171961 with sparse part having weight 12288325. Pruned matrix : 132417 x 133193 with weight 7795674. Total sieving time: 7.41 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.43 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: 8.00 hours. --------- CPU info (if available) ----------
The factor table of 600...001 was completed up to n=150.
(16·10²³⁸-61)/9 = 1(7)₂₃₇1_<239> = 13 · 127 · 5657 · 46430180224264648553519_<23> · 254357642020012614687158935739_<30> · C180
C180 = P37 · P143
P37 = 2995094195117222887884298164866532149_<37>
P143 = 53813170009834495019293890293026883737954771285601624407366337052839069598577066902859258931966909830488746548353116927917982040532206068831417_<143>
(16·10²¹⁶-61)/9 = 1(7)₂₁₅1_<217> = 83 · 45734749 · 13663537919328949_<17> · C191
C191 = P38 · C154
P38 = 16993254544088994418802208329222111041_<38>
C154 = [2017034616574578333352594311052563596623521835744304536991343545930368699537861663516241055764361488063643138782918033528620871827176764508692767386386057_<154>]
(16·10²⁰³-61)/9 = 1(7)₂₀₂1_<204> = 3 · 11 · C202
C202 = P29 · C173
P29 = 91665371598605909009152456397_<29>
C173 = [58770343623276365051701043350027004518200626964137470076070836828570454371967585994649096276964859765755465444625233759214408845503984098397332260968196397777431561428879671_<173>]
Mar 31, 2007 (3rd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(25·10¹⁵⁵-1)/3 = 8(3)₁₅₅_<156> = 2203249 · 37543801 · 49716496603_<11> · 1653308001329_<13> · C120
C120 = P50 · P70
P50 = 65913944802091178855770112634329104658420382602159_<50>
P70 = 1859453593432094313519823692595586227335273265860674689594622234181449_<70>

Number: n N=122563921519533157167610503791526745333137558744384949027973528499465329568652035634459486477105324578747237805985148391 ( 120 digits) SNFS difficulty: 156 digits. Divisors found: r1=65913944802091178855770112634329104658420382602159 (pp50) r2=1859453593432094313519823692595586227335273265860674689594622234181449 (pp70) Version: GGNFS-0.77.1-20051202-athlon Total time: 24.11 hours. Scaled time: 31.49 units (timescale=1.306). Factorization parameters were as follows: name: KA_8_3_155 n: 122563921519533157167610503791526745333137558744384949027973528499465329568652035634459486477105324578747237805985148391 skew: 1.0 deg: 5 c5: 25 c0: -1 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 algebraic special-q in [100000, 1100001) Primes: RFBsize:183072, AFBsize:182826, largePrimes:6955717 encountered Relations: rels:6516252, finalFF:543037 Max relations in full relation-set: 48 Initial matrix: 365962 x 543037 with sparse part having weight 47109883. Pruned matrix : 241555 x 243448 with weight 23127030. Total sieving time: 21.71 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.11 hours. Total square root time: 0.11 hours, sqrts: 2. 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: 24.11 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Mar 31, 2007 (2nd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹⁵⁴+1 = 6(0)₁₅₃1_<155> = 53 · 110164333547_<12> · C143
C143 = P39 · P104
P39 = 238374791151267475667638647382887847013_<39>
P104 = 43109605018575408648854020726186133527988347085935528901089943775031879035223884740987728777643420089547_<104>

Number: 60001_154 N=10276243092916545282599038127331836714616312273924222818750214626679157163539329590634914587427396014343641520606720047587449248821562496473111 ( 143 digits) SNFS difficulty: 155 digits. Divisors found: r1=238374791151267475667638647382887847013 (pp39) r2=43109605018575408648854020726186133527988347085935528901089943775031879035223884740987728777643420089547 (pp104) Version: GGNFS-0.77.1-20050930-k8 Total time: 21.24 hours. Scaled time: 19.28 units (timescale=0.908). Factorization parameters were as follows: n: 10276243092916545282599038127331836714616312273924222818750214626679157163539329590634914587427396014343641520606720047587449248821562496473111 m: 10000000000000000000000000000000 c5: 3 c0: 5 skew: 1.11 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, 2500001) Primes: RFBsize:216816, AFBsize:216596, largePrimes:5572811 encountered Relations: rels:5543695, finalFF:566815 Max relations in full relation-set: 28 Initial matrix: 433477 x 566815 with sparse part having weight 42556585. Pruned matrix : 338451 x 340682 with weight 26438100. Total sieving time: 20.17 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.93 hours. Time per square root: 0.04 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: 21.24 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 31, 2007: By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹⁵³+1 = 6(0)₁₅₂1_<154> = 21617 · 1541654209_<10> · C141
C141 = P36 · P105
P36 = 984429390961917259297755699215421271_<36>
P105 = 182887609531191459362098716133019089012168238316933698590744176357181073877813369466618012759402594754327_<105>

Number: n N=180039938065271742432802419890207882745250058570293387508818336338413580893400078723650876563405461280952457200558289033306093322248055089617 ( 141 digits) SNFS difficulty: 154 digits. Divisors found: r1=984429390961917259297755699215421271 (pp36) r2=182887609531191459362098716133019089012168238316933698590744176357181073877813369466618012759402594754327 (pp105) Version: GGNFS-0.77.1-20051202-athlon Total time: 27.14 hours. Scaled time: 27.95 units (timescale=1.030). Factorization parameters were as follows: name: KA_6_0_152_1 n: 180039938065271742432802419890207882745250058570293387508818336338413580893400078723650876563405461280952457200558289033306093322248055089617 type: snfs skew: 1 deg: 5 c5: 375 c0: 2 m: 2000000000000000000000000000000 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 algebraic special-q in [700000, 1700001) Primes: RFBsize:203362, AFBsize:203002, largePrimes:6512346 encountered Relations: rels:5970054, finalFF:457938 Max relations in full relation-set: 48 Initial matrix: 406430 x 457938 with sparse part having weight 33384429. Pruned matrix : 366052 x 368148 with weight 21666820. Total sieving time: 23.81 hours. Total relation processing time: 0.19 hours. Matrix solve time: 3.02 hours. Total square root time: 0.11 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000 total time: 27.14 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 3000+ stepping 00 Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem) Calibrating delay loop... 4292.60 BogoMIPS x86info v1.12b. Dave Jones 2001-2003 Feedback to <davej@redhat.com>. Found 1 CPU -------------------------------------------------------------------------- Family: 6 Model: 10 Stepping: 0 CPU Model : Athlon XP (Barton) 2.2Ghz processor (estimate).
Mar 30, 2007 (6th): By Alfred Reich / GMP-ECM B1=250000
10¹⁵⁰²+1 = 1(0)₁₅₀₁1_<1503> = 101 · C1500
C1500 = P29 · C1472
P29 = 15038232004133372033157105509_<29>
Mar 30, 2007 (5th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹⁵¹+1 = 6(0)₁₅₀1_<152> = 139 · 498255827 · C141
C141 = P35 · P52 · P55
P35 = 85355460087173921743066987368891301_<35>
P52 = 4059984657865523211612358150944087268984576395068423_<52>
P55 = 2499932966831125928910143611140847400709468157774550779_<55>

Number: n N=866331416248530507913950966103277323181094369907219304082316894962353482612304182861456519612999020205316992825763695151993423853564736053617 ( 141 digits) SNFS difficulty: 151 digits. Divisors found: r1=85355460087173921743066987368891301 (pp35) r2=4059984657865523211612358150944087268984576395068423 (pp52) r3=2499932966831125928910143611140847400709468157774550779 (pp55) Version: GGNFS-0.77.1-20051202-athlon Total time: 17.90 hours. Scaled time: 23.70 units (timescale=1.324). Factorization parameters were as follows: name: KA_6_0_150_1 n: 866331416248530507913950966103277323181094369907219304082316894962353482612304182861456519612999020205316992825763695151993423853564736053617 skew: 1.0 deg: 5 c5: 60 c0: 1 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 [625000, 1225001) Primes: RFBsize:183072, AFBsize:182401, largePrimes:6997715 encountered Relations: rels:6415375, finalFF:435403 Max relations in full relation-set: 48 Initial matrix: 365540 x 435403 with sparse part having weight 40361151. Pruned matrix : 313619 x 315510 with weight 23532552. Total sieving time: 14.43 hours. Total relation processing time: 0.15 hours. Matrix solve time: 3.06 hours. Total square root time: 0.27 hours, sqrts: 4. 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: 17.90 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Mar 30, 2007 (4th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹⁴⁹+1 = 6(0)₁₄₈1_<150> = 19 · 109 · 113 · 10579907627_<11> · 5679856078924981_<16> · C119
C119 = P38 · P82
P38 = 22501049938160881627846852996382188283_<38>
P82 = 1896141385290142214720833871694818954129695297495385547007001852440390777837062947_<82>

Number: 60001_149 N=42665172000227042905248666636269907370987871316211270116976905960540274050479954940900986182398874236738120753476850001 ( 119 digits) SNFS difficulty: 150 digits. Divisors found: r1=22501049938160881627846852996382188283 (pp38) r2=1896141385290142214720833871694818954129695297495385547007001852440390777837062947 (pp82) Version: GGNFS-0.77.1-20050930-k8 Total time: 16.31 hours. Scaled time: 14.81 units (timescale=0.908). Factorization parameters were as follows: n: 42665172000227042905248666636269907370987871316211270116976905960540274050479954940900986182398874236738120753476850001 m: 1000000000000000000000000000000 c5: 3 c0: 5 skew: 1.11 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [900000, 1800001) Primes: RFBsize:135072, AFBsize:135068, largePrimes:2722233 encountered Relations: rels:2706884, finalFF:317643 Max relations in full relation-set: 28 Initial matrix: 270205 x 317643 with sparse part having weight 18554762. Pruned matrix : 249291 x 250706 with weight 12273618. Total sieving time: 15.95 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.29 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000 total time: 16.31 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 30, 2007 (3rd): By suberi / GMP-ECM 6.1.2 B1=1500000
10¹⁹³-3 = (9)₁₉₂7_<193> = 7 · 877 · 8231 · 1678751 · C180
C180 = P40 · C140
P40 = 2788197000323965150474047104253804184927_<40>
C140 = [42280491275836758755087153978652869290832724846826455289157915903635208116355748143771841425689564560801169376081032947336654089972281806529_<140>]
Mar 30, 2007 (2nd): By Jo Yeong Uk / GMP-ECM 6.1.1 B1=1000000
6·10¹⁵⁵+1 = 6(0)₁₅₄1_<156> = 15679 · C152
C152 = P28 · P124
P28 = 5838172087029064235976796069_<28>
P124 = 6554747975404540742365128375128746950110811434716985062195497790142313250580415385937683038666601418715210100773572817781651_<124>
Mar 30, 2007: By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹⁴⁷+1 = 6(0)₁₄₆1_<148> = 17 · 2543 · C144
C144 = P57 · P88
P57 = 115760644183242053581470522727778242831221097437922034717_<57>
P88 = 1198933330911430747361811027483210008562962708283177147904000051570352016647574586611563_<88>

Number: n N=138789294719067335939487867502486641530383289768915824292752885660752700608359741851911822534755152552566445374846753487081029816566815479632671 ( 144 digits) SNFS difficulty: 148 digits. Divisors found: r1=115760644183242053581470522727778242831221097437922034717 (pp57) r2=1198933330911430747361811027483210008562962708283177147904000051570352016647574586611563 (pp88) Version: GGNFS-0.77.1-20051202-athlon Total time: 13.08 hours. Scaled time: 13.45 units (timescale=1.028). Factorization parameters were as follows: name: KA_6_0_146_1 n: 138789294719067335939487867502486641530383289768915824292752885660752700608359741851911822534755152552566445374846753487081029816566815479632671 type: snfs skew: 1 deg: 5 c5: 75 c0: 4 m: 200000000000000000000000000000 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 algebraic special-q in [700000, 1900001) Primes: RFBsize:203362, AFBsize:203327, largePrimes:6772732 encountered Relations: rels:6313076, finalFF:556374 Max relations in full relation-set: 48 Initial matrix: 406755 x 556374 with sparse part having weight 34465165. Pruned matrix : 285284 x 287381 with weight 17097564. Total sieving time: 10.71 hours. Total relation processing time: 0.19 hours. Matrix solve time: 1.79 hours. Total square root time: 0.38 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000 total time: 13.08 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 3000+ stepping 00 Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem) Calibrating delay loop... 4292.60 BogoMIPS x86info v1.12b. Dave Jones 2001-2003 Feedback to <davej@redhat.com>. Found 1 CPU -------------------------------------------------------------------------- Family: 6 Model: 10 Stepping: 0 CPU Model : Athlon XP (Barton) 2.2Ghz processor (estimate).
Mar 29, 2007 (12th): By Yousuke Koide / GMP-ECM B1=1000000
10¹²⁸¹+1 = 1(0)₁₂₈₀1_<1282> = 7² · 11 · 13 · 127 · 367 · 2689 · 81131 · 169093 · 459691 · 909091 · 51745081 · 55405813 · 2483310733_<10> · 231360835259_<12> · 40498340376691_<14> · 169894323769969_<15> · 1332637657781062159783634743_<28> · 42936744040512685057308971520417028077990465463_<47> · 33277993916065498965234812212436587255656671587921_<50> · 11205222530116836855321528257890437575145023592596037161_<56> · [85811889790895883206807096720145730209605387250726861790562462772043327254561512798528835064828732240331260028758501757852432823556792336743465054983401115181231428794965186955289754661244071239184706008290121155783429407286412102316839112807634956146135131037171420203944224539158836762412373845312102917244800561831603104330815842760273933_<341>] · C664
C664 = P33 · C632
P33 = 182686188880054439969850506100637_<33>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Mar 29, 2007 (11th): By Alfred Reich / GMP-ECM B1=3000000
10⁶⁰⁸+1 = 1(0)₆₀₇1_<609> = 1217 · 19841 · 665153 · 976193 · 1601473 · 6187457 · 65384321 · 834427406578561_<15> · 911712031611457_<15> · 18542613285686578370456001857_<29> · C510
C510 = P35 · C475
P35 = 89360919064107809136921297069895873_<35>
Mar 29, 2007 (10th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹⁴⁴+1 = 6(0)₁₄₃1_<145> = 7 · 29 · 9419 · C139
C139 = P52 · P87
P52 = 8690737773132673400046895125462569162199460287601619_<52>
P87 = 361071965016480062594290480035242393015221651315524279120702561149015142886111978824947_<87>

Number: n N=3137981765187962492749954630013644990708958990239307719382842666301266123342557256399783060860633338859667886469911723342975653968474789193 ( 139 digits) SNFS difficulty: 145 digits. Divisors found: r1=8690737773132673400046895125462569162199460287601619 (pp52) r2=361071965016480062594290480035242393015221651315524279120702561149015142886111978824947 (pp87) Version: GGNFS-0.77.1-20051202-athlon Total time: 8.84 hours. Scaled time: 11.70 units (timescale=1.323). Factorization parameters were as follows: name: KA_6_0_143_1 n: 3137981765187962492749954630013644990708958990239307719382842666301266123342557256399783060860633338859667886469911723342975653968474789193 skew: 1.0 deg: 5 c5: 3 c0: 5 m: 100000000000000000000000000000 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 [625000, 1425001) Primes: RFBsize:183072, AFBsize:183061, largePrimes:6812550 encountered Relations: rels:6210007, finalFF:436143 Max relations in full relation-set: 48 Initial matrix: 366198 x 436143 with sparse part having weight 31494582. Pruned matrix : 309296 x 311190 with weight 17011799. Total sieving time: 6.46 hours. Total relation processing time: 0.14 hours. Matrix solve time: 2.19 hours. Total square root time: 0.06 hours, sqrts: 1 Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 8.84 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
Mar 29, 2007 (9th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹⁴²+1 = 6(0)₁₄₁1_<143> = 179 · 193 · 1949 · 20250697 · C128
C128 = P36 · P93
P36 = 168722167314338241440719151552099503_<36>
P93 = 260805622756239731875686742670995926907630708041156681530524921153215720747176911819093845937_<93>

Number: 60001_142 N=44003689919198461148612843709883711482295308168094192381135593052331773504067100100819483505234335724777643856075977739176269311 ( 128 digits) SNFS difficulty: 143 digits. Divisors found: r1=168722167314338241440719151552099503 (pp36) r2=260805622756239731875686742670995926907630708041156681530524921153215720747176911819093845937 (pp93) Version: GGNFS-0.77.1-20050930-k8 Total time: 9.01 hours. Scaled time: 7.81 units (timescale=0.867). Factorization parameters were as follows: n: 44003689919198461148612843709883711482295308168094192381135593052331773504067100100819483505234335724777643856075977739176269311 m: 20000000000000000000000000000 c5: 75 c0: 4 skew: 1 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, 1250001) Primes: RFBsize:114155, AFBsize:113902, largePrimes:2662818 encountered Relations: rels:2669079, finalFF:313554 Max relations in full relation-set: 28 Initial matrix: 228123 x 313554 with sparse part having weight 20150084. Pruned matrix : 187065 x 188269 with weight 9927048. Total sieving time: 8.80 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.14 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 9.01 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 29, 2007 (8th): By suberi / GGNFS-0.77.1-20060513-pentium4
6·10¹³²+1 = 6(0)₁₃₁1_<133> = 7² · 347 · C129
C129 = P62 · P67
P62 = 36596493239037447170949018613664094139517120346108317971376267_<62>
P67 = 9642423972646013466783289114801468750815943389674239701142494172201_<67>

Number: 60001_132 N=352878903722872434276304181615009116038346174204552137858025054402164323942833617596894665647238722578368523201787919778862553667 ( 129 digits) SNFS difficulty: 132 digits. Divisors found: r1=36596493239037447170949018613664094139517120346108317971376267 (pp62) r2=9642423972646013466783289114801468750815943389674239701142494172201 (pp67) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 6.36 hours. Scaled time: 3.95 units (timescale=0.620). Factorization parameters were as follows: n: 352878903722872434276304181615009116038346174204552137858025054402164323942833617596894665647238722578368523201787919778862553667 m: 100000000000000000000000000 c5: 600 c0: 1 skew: 1 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, 1000001) Primes: RFBsize:63951, AFBsize:63758, largePrimes:1465168 encountered Relations: rels:1451436, finalFF:159411 Max relations in full relation-set: 28 Initial matrix: 127775 x 159411 with sparse part having weight 11544070. Pruned matrix : 118379 x 119081 with weight 6897026. Total sieving time: 5.94 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.28 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: 6.36 hours. --------- CPU info (if available) ----------
Mar 29, 2007 (7th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
6·10¹³⁵+1 = 6(0)₁₃₄1_<136> = C136
C136 = P46 · P90
P46 = 6880668114947944749317742283818949380447951589_<46>
P90 = 872008342760387973294859623740096978369380316479863520578687666785407351034250325563331309_<90>

Number: n N=6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 ( 136 digits) SNFS difficulty: 135 digits. Divisors found: r1=6880668114947944749317742283818949380447951589 (pp46) r2=872008342760387973294859623740096978369380316479863520578687666785407351034250325563331309 (pp90) Version: GGNFS-0.77.1-20051202-athlon Total time: 4.93 hours. Scaled time: 6.43 units (timescale=1.303). Factorization parameters were as follows: name: KA_6_0_134_1 n: 6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 skew: 1.0 deg: 5 c5: 6 c0: 1 m: 1000000000000000000000000000 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 [625000, 1025001) Primes: RFBsize:183072, AFBsize:183151, largePrimes:6757053 encountered Relations: rels:6176901, finalFF:469461 Max relations in full relation-set: 48 Initial matrix: 366289 x 469461 with sparse part having weight 27534006. Pruned matrix : 275137 x 277032 with weight 11713717. Total sieving time: 3.49 hours. Total relation processing time: 0.12 hours. Matrix solve time: 1.27 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,75000 total time: 4.93 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+
6·10¹³⁹+1 = 6(0)₁₃₈1_<140> = 2277647 · 1508867401072225998121996787_<28> · C107
C107 = P36 · P71
P36 = 323196751600306705639682362661998583_<36>
P71 = 54019028760861303562927364638531753025925788771571944925497170577303123_<71>

Number: n N=17458774620113914470450750350485650721062967459553658304917158020724895264651040876779047803300485387474709 ( 107 digits) SNFS difficulty: 140 digits. Divisors found: r1=323196751600306705639682362661998583 (pp36) r2=54019028760861303562927364638531753025925788771571944925497170577303123 (pp71) Version: GGNFS-0.77.1-20051202-athlon Total time: 7.00 hours. Scaled time: 7.19 units (timescale=1.027). Factorization parameters were as follows: name: KA_6_0_138_1 n: 17458774620113914470450750350485650721062967459553658304917158020724895264651040876779047803300485387474709 type: snfs skew: 1 deg: 5 c5: 3 c0: 5 m: 10000000000000000000000000000 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 algebraic special-q in [700000, 1300001) Primes: RFBsize:203362, AFBsize:203187, largePrimes:6332246 encountered Relations: rels:5935476, finalFF:580430 Max relations in full relation-set: 48 Initial matrix: 406614 x 580430 with sparse part having weight 28996765. Pruned matrix : 249589 x 251686 with weight 11668387. Total sieving time: 5.78 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.00 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,75000 total time: 7.00 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 3000+ stepping 00 Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem) Calibrating delay loop... 4292.60 BogoMIPS x86info v1.12b. Dave Jones 2001-2003 Feedback to <davej@redhat.com>. Found 1 CPU -------------------------------------------------------------------------- Family: 6 Model: 10 Stepping: 0 CPU Model : Athlon XP (Barton) 2.2Ghz processor (estimate).
Mar 29, 2007 (6th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹³⁷+1 = 6(0)₁₃₆1_<138> = 23 · 48323971 · 4272684397523_<13> · C117
C117 = P35 · P82
P35 = 14655169765563672253443781435081771_<35>
P82 = 8621228002824546712512779722593849212894060284244445369802723033429410273152233309_<82>

Number: 60001_137 N=126345559969025178596852180111068916025623690265881256100032965758421964815162261474428762273655471555768749684910239 ( 117 digits) SNFS difficulty: 138 digits. Divisors found: r1=14655169765563672253443781435081771 (pp35) r2=8621228002824546712512779722593849212894060284244445369802723033429410273152233309 (pp82) Version: GGNFS-0.77.1-20050930-k8 Total time: 6.19 hours. Scaled time: 5.61 units (timescale=0.906). Factorization parameters were as follows: n: 126345559969025178596852180111068916025623690265881256100032965758421964815162261474428762273655471555768749684910239 m: 2000000000000000000000000000 c5: 75 c0: 4 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [650000, 1600001) Primes: RFBsize:100021, AFBsize:99653, largePrimes:1606035 encountered Relations: rels:1640566, finalFF:232314 Max relations in full relation-set: 28 Initial matrix: 199740 x 232314 with sparse part having weight 11569395. Pruned matrix : 183772 x 184834 with weight 7837658. Total sieving time: 6.03 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.10 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000 total time: 6.19 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.08 BogoMIPS).
Mar 29, 2007 (5th): By Jo Yeong Uk / GMP-ECM 6.1.1 B1=1000000
6·10¹⁵²+1 = 6(0)₁₅₁1_<153> = 97 · 107 · 4413797 · 146950709 · 312531144238105714806234223_<27> · C108
C108 = P36 · P72
P36 = 298164910200576610275597713265821141_<36>
P72 = 956449101954012566944100844383139842704712531307907202661451759300471921_<72>
Mar 29, 2007 (4th): By Shaopu Lin / GGNFS-0.77.1-20060722-pentium4
6·10¹¹⁶+1 = 6(0)₁₁₅1_<117> = 29 · 83 · 131 · 685813586041_<12> · C100
C100 = P49 · P52
P49 = 1844456395138388719546644007583570020351357048013_<49>
P52 = 1504282446191996744686075825671917165322581155319641_<52>

Number: 6.116.+1 N=2774583377973247515120418666588758007725716130878216258584319823955305330744998010385552113198923333 ( 100 digits) SNFS difficulty: 116 digits. Divisors found: r1=1844456395138388719546644007583570020351357048013 (pp49) r2=1504282446191996744686075825671917165322581155319641 (pp52) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 1.68 hours. Scaled time: 2.14 units (timescale=1.277). Factorization parameters were as follows: n: 2774583377973247515120418666588758007725716130878216258584319823955305330744998010385552113198923333 m: 100000000000000000000000 c5: 60 c0: 1 skew: 0.4409301031108602482135000634 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:63828, largePrimes:2028041 encountered Relations: rels:2073919, finalFF:216782 Max relations in full relation-set: 32 Initial matrix: 112993 x 216782 with sparse part having weight 17583425. Pruned matrix : 84139 x 84767 with weight 4244399. Total sieving time: 1.49 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,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.68 hours. --------- CPU info (if available) ----------
6·10¹³³+1 = 6(0)₁₃₂1_<134> = 4390696903639_<13> · 206718352549405901933_<21> · C101
C101 = P48 · P54
P48 = 366262675924266703046624692745658752739944862649_<48>
P54 = 180487069279920119803199143358086060304773059562666427_<54>

Number: 6.133.+1 N=66105676964192055331339699187649664746820562965637914107453371282434427610071830386331809334718585123 ( 101 digits) SNFS difficulty: 135 digits. Divisors found: r1=366262675924266703046624692745658752739944862649 (pp48) r2=180487069279920119803199143358086060304773059562666427 (pp54) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 7.67 hours. Scaled time: 8.97 units (timescale=1.170). Factorization parameters were as follows: n: 66105676964192055331339699187649664746820562965637914107453371282434427610071830386331809334718585123 m: 1000000000000000000000000000 c5: 3 c0: 50 skew: 1.755374357613263695354790869 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, 1150001) Primes: RFBsize:78498, AFBsize:64108, largePrimes:1522627 encountered Relations: rels:1528331, finalFF:182412 Max relations in full relation-set: 32 Initial matrix: 142671 x 182412 with sparse part having weight 13819576. Pruned matrix : 129373 x 130150 with weight 7940935. Total sieving time: 7.28 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.19 hours. Time per square root: 0.08 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: 7.67 hours. --------- CPU info (if available) ----------
6·10¹¹⁷+1 = 6(0)₁₁₆1_<118> = 19249 · 104513 · C109
C109 = P38 · P71
P38 = 84949547191298834829861938440359659209_<38>
P71 = 35108453167910401652183651057262560059278692771200689617890345494466697_<71>

Number: 6.117.+1 N=2982447199200909740641087772219643336028900593358218233194233006680820410004800661338976420353409286119862673 ( 109 digits) SNFS difficulty: 117 digits. Divisors found: r1=84949547191298834829861938440359659209 (pp38) r2=35108453167910401652183651057262560059278692771200689617890345494466697 (pp71) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 2.30 hours. Scaled time: 2.94 units (timescale=1.282). Factorization parameters were as follows: n: 2982447199200909740641087772219643336028900593358218233194233006680820410004800661338976420353409286119862673 m: 100000000000000000000000 c5: 600 c0: 1 skew: 0.2782080869602061787542021946 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:63758, largePrimes:2260345 encountered Relations: rels:2575810, finalFF:449631 Max relations in full relation-set: 32 Initial matrix: 112922 x 449631 with sparse part having weight 38977979. Pruned matrix : 65873 x 66501 with weight 5825304. Total sieving time: 2.11 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.05 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.30 hours. --------- CPU info (if available) ----------
Mar 29, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹³⁶+1 = 6(0)₁₃₅1_<137> = 287271635614354961093_<21> · C117
C117 = P32 · P85
P32 = 41930632229393576833881200665999_<32>
P85 = 4981121010552314579673023411353830652553041863694028008692298895946066995164432699043_<85>

Number: 60001_136 N=208861553183574384641496570438992202326763001190184099906600714715092191323809412019926563630101556877732704729938957 ( 117 digits) SNFS difficulty: 136 digits. Divisors found: r1=41930632229393576833881200665999 (pp32) r2=4981121010552314579673023411353830652553041863694028008692298895946066995164432699043 (pp85) Version: GGNFS-0.77.1-20050930-k8 Total time: 5.30 hours. Scaled time: 4.80 units (timescale=0.906). Factorization parameters were as follows: n: 208861553183574384641496570438992202326763001190184099906600714715092191323809412019926563630101556877732704729938957 m: 1000000000000000000000000000 c5: 60 c0: 1 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [650000, 1450001) Primes: RFBsize:100021, AFBsize:99983, largePrimes:1573606 encountered Relations: rels:1601867, finalFF:226059 Max relations in full relation-set: 28 Initial matrix: 200071 x 226059 with sparse part having weight 9991724. Pruned matrix : 187226 x 188290 with weight 7125975. Total sieving time: 5.14 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.10 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000 total time: 5.30 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.08 BogoMIPS).
Mar 29, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs
4·10¹⁵³+1 = 4(0)₁₅₂1_<154> = 59 · 397 · 13063 · 167318969 · 606641514185778295831468249_<27> · C111
C111 = P40 · P71
P40 = 3183635597702264953513076409369407360357_<40>
P71 = 40455156645999949292666657280615001667447267467607551015375410772491397_<71>

Number: n N=128794476808826804929695919713988641507228964089871710247262117670748049694912958575750188571024002234261348729 ( 111 digits) Divisors found: r1=3183635597702264953513076409369407360357 (pp40) r2=40455156645999949292666657280615001667447267467607551015375410772491397 (pp71) Version: GGNFS-0.77.1-20051202-athlon Total time: 26.67 hours. Scaled time: 27.47 units (timescale=1.030). Factorization parameters were as follows: name: KA_4_0_152_1 n: 128794476808826804929695919713988641507228964089871710247262117670748049694912958575750188571024002234261348729 skew: 14591.00 # norm 2.53e+15 c5: 36480 c4: -8024516008 c3: -131143870906614 c2: 1592694215541131949 c1: 3060500624120386397906 c0: -21438494886951988228976328 # alpha -5.87 Y1: 296695470809 Y0: -1286983226642882909381 # Murphy_E 9.13e-10 # M 81130056266918107766482766309667539814896027352219876292127076829404897674136589364351342555408655652570877199 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [800000, 1600001) Primes: RFBsize:230209, AFBsize:230219, largePrimes:7117685 encountered Relations: rels:6769651, finalFF:521875 Max relations in full relation-set: 48 Initial matrix: 460509 x 521875 with sparse part having weight 43506096. Pruned matrix : 404830 x 407196 with weight 25473744. Total sieving time: 22.50 hours. Total relation processing time: 0.25 hours. Matrix solve time: 3.57 hours. Time per square root: 0.35 hours. Prototype def-par.txt line would be: gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 26.67 hours. --------- CPU info (if available) ---------- CPU: AMD Athlon(tm) XP 3000+ stepping 00 Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem) Calibrating delay loop... 4292.60 BogoMIPS x86info v1.12b. Dave Jones 2001-2003 Feedback to <davej@redhat.com>. Found 1 CPU -------------------------------------------------------------------------- Family: 6 Model: 10 Stepping: 0 CPU Model : Athlon XP (Barton) 2.2Ghz processor (estimate).
Mar 29, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹³⁰+1 = 6(0)₁₂₉1_<131> = 31 · 325910589480211013_<18> · C112
C112 = P32 · P80
P32 = 80533406104775313809314886144551_<32>
P80 = 73742017814548265755028178719963181032292046951828193081508776580982918009049717_<80>

Number: 60001_130 N=5938695867644591250096964108036195170468256919566410685964230328223435047888048980160458151235501463313407642067 ( 112 digits) SNFS difficulty: 130 digits. Divisors found: r1=80533406104775313809314886144551 (pp32) r2=73742017814548265755028178719963181032292046951828193081508776580982918009049717 (pp80) Version: GGNFS-0.77.1-20050930-k8 Total time: 2.49 hours. Scaled time: 2.26 units (timescale=0.907). Factorization parameters were as follows: n: 5938695867644591250096964108036195170468256919566410685964230328223435047888048980160458151235501463313407642067 m: 100000000000000000000000000 c5: 6 c0: 1 skew: 1 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [500000, 900001) Primes: RFBsize:78498, AFBsize:78381, largePrimes:1552605 encountered Relations: rels:1607977, finalFF:227611 Max relations in full relation-set: 28 Initial matrix: 156945 x 227611 with sparse part having weight 11540004. Pruned matrix : 124379 x 125227 with weight 5154950. Total sieving time: 2.41 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 2.49 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.08 BogoMIPS).
Mar 28, 2007 (7th): By suberi / GMP-ECM 6.1.2 B1=3000000
10¹⁸⁸-3 = (9)₁₈₇7_<188> = 330546084791304846847511_<24> · 3562247528919238271756225579280817_<34> · C131
C131 = P37 · P95
P37 = 4509864049590597579503737782555387503_<37>
P95 = 18831305910794443918566298283063276453852879246305489811969783216115588049782475570558077809077_<95>
Mar 28, 2007 (6th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
6·10¹²³+1 = 6(0)₁₂₂1_<124> = 677 · 85482211 · C114
C114 = P50 · P64
P50 = 46731777018239824577493857223667185843576140952323_<50>
P64 = 2218577168058000218769466780291988857687020303171346242507278821_<64>

Number: 60001_123 N=103678053515444447646496968098004446630653870257492258219735430328279463228768508005623250938029042426190228651183 ( 114 digits) SNFS difficulty: 125 digits. Divisors found: r1=46731777018239824577493857223667185843576140952323 (pp50) r2=2218577168058000218769466780291988857687020303171346242507278821 (pp64) Version: GGNFS-0.77.1-20050930-k8 Total time: 1.95 hours. Scaled time: 1.77 units (timescale=0.907). Factorization parameters were as follows: n: 103678053515444447646496968098004446630653870257492258219735430328279463228768508005623250938029042426190228651183 m: 10000000000000000000000000 c5: 3 c0: 50 skew: 1 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [500000, 800001) Primes: RFBsize:78498, AFBsize:78466, largePrimes:1533564 encountered Relations: rels:1603464, finalFF:239699 Max relations in full relation-set: 28 Initial matrix: 157029 x 239699 with sparse part having weight 10890124. Pruned matrix : 112192 x 113041 with weight 4386011. Total sieving time: 1.88 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,125,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 1.95 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.08 BogoMIPS).
Mar 28, 2007 (5th): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(55·10¹⁵⁴-1)/9 = 6(1)₁₅₄_<155> = 19 · 128377 · 226199 · C144
C144 = P50 · P94
P50 = 16248596023798486378875874181609325104910632542109_<50>
P94 = 6816678862166327195133898481525866304745806685872685135817314924536862399999758640164030283967_<94>

Number: trial N=110761461055306974447980312674705813315103228543298256296113664338475244695680369736492417399835256980582636072338158897343349693799730355066403 ( 144 digits) SNFS difficulty: 156 digits. Divisors found: r1=16248596023798486378875874181609325104910632542109 (pp50) r2=6816678862166327195133898481525866304745806685872685135817314924536862399999758640164030283967 (pp94) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 54.70 hours. Scaled time: 28.44 units (timescale=0.520). Factorization parameters were as follows: n: 110761461055306974447980312674705813315103228543298256296113664338475244695680369736492417399835256980582636072338158897343349693799730355066403 m: 10000000000000000000000000000000 c5: 11 c0: -2 skew: 1 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, 2500001) Primes: RFBsize:216816, AFBsize:216807, largePrimes:5696111 encountered Relations: rels:5771677, finalFF:510455 Max relations in full relation-set: 0 Initial matrix: 433690 x 510455 with sparse part having weight 27237870. Pruned matrix : 372255 x 374487 with weight 19501034. Total sieving time: 44.73 hours. Total relation processing time: 0.45 hours. Matrix solve time: 9.25 hours. Time per square root: 0.26 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: 54.70 hours. --------- CPU info (if available) ----------
Mar 28, 2007 (4th): By Yousuke Koide / GMP-ECM / Mar 25, 2007
(10⁷⁷³-1)/9 = (1)₇₇₃_<773> = 375567158615806379291689_<24> · C749
C749 = P34 · C715
P34 = 6567859785032228933216616467308837_<34>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Mar 28, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
3·10¹⁵⁴+1 = 3(0)₁₅₃1_<155> = 709 · C152
C152 = P55 · P97
P55 = 8035475151373083659527183835942623308307448782043954239_<55>
P97 = 5265789050328925623147256769024288482438775097245447059422020562309429069222311849609536376272051_<97>

Number: 30001_154 N=42313117066290550070521861777150916784203102961918194640338504936530324400564174894217207334273624823695345557122708039492242595204513399153737658674189 ( 152 digits) SNFS difficulty: 155 digits. Divisors found: r1=8035475151373083659527183835942623308307448782043954239 (pp55) r2=5265789050328925623147256769024288482438775097245447059422020562309429069222311849609536376272051 (pp97) Version: GGNFS-0.77.1-20050930-k8 Total time: 25.09 hours. Scaled time: 22.81 units (timescale=0.909). Factorization parameters were as follows: n: 42313117066290550070521861777150916784203102961918194640338504936530324400564174894217207334273624823695345557122708039492242595204513399153737658674189 m: 10000000000000000000000000000000 c5: 3 c0: 10 skew: 1.27 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, 2700001) Primes: RFBsize:216816, AFBsize:216741, largePrimes:5696550 encountered Relations: rels:5707769, finalFF:592403 Max relations in full relation-set: 28 Initial matrix: 433622 x 592403 with sparse part having weight 47733820. Pruned matrix : 340633 x 342865 with weight 29522903. Total sieving time: 23.87 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.08 hours. Time per square root: 0.05 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: 25.09 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.08 BogoMIPS).
Mar 28, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs
4·10¹⁶¹+1 = 4(0)₁₆₀1_<162> = 7 · 41 · 24481 · 1793611 · 6778769 · 51739157 · 24543891373_<11> · 7075521653495357_<16> · C108
C108 = P33 · P76
P33 = 365498852272237776807460331845037_<33>
P76 = 1425813087563283653143535013962362288561660254770001654328238688640363615813_<76>

Number: n N=521133047059115837675537348646844584746004512762351827978879158236088378419334683421375333805308762918770081 ( 108 digits) Divisors found: r1=365498852272237776807460331845037 (pp33) r2=1425813087563283653143535013962362288561660254770001654328238688640363615813 (pp76) Version: GGNFS-0.77.1-20051202-athlon Total time: 20.75 hours. Scaled time: 12.43 units (timescale=0.599). Factorization parameters were as follows: name: n n: 521133047059115837675537348646844584746004512762351827978879158236088378419334683421375333805308762918770081 skew: 40447.48 # norm 6.43e+14 c5: 9420 c4: -213953527 c3: -44488420510166 c2: 182961566955378338 c1: 36117031924044341100564 c0: 205146067720706725943643840 # alpha -5.48 Y1: 186574095169 Y0: -560505913690756339519 # Murphy_E 1.20e-09 # M 494134786016776996625202565666137705191913286564593986533208980979121777485925174812435415313414375388025445 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [100000, 1750001) Primes: RFBsize:183072, AFBsize:182852, largePrimes:4389613 encountered Relations: rels:4471974, finalFF:474620 Max relations in full relation-set: 28 Initial matrix: 366004 x 474620 with sparse part having weight 34411549. Pruned matrix : 274273 x 276167 with weight 17131889. Total sieving time: 16.62 hours. Total relation processing time: 0.23 hours. Matrix solve time: 3.50 hours. Total square root time: 0.40 hours, sqrts: 1. Prototype def-par.txt line would be: gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 20.75 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 28, 2007: The factor table of 600...001 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, 2007 (3rd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
4·10¹⁴⁷+1 = 4(0)₁₄₆1_<148> = 47 · 251 · 733 · 863 · C138
C138 = P55 · P83
P55 = 6442862514461602713781483216855754068454488467466706327_<55>
P83 = 83194530963377483428159654973172315536690121265505564170886744203220844329565112601_<83>

Number: n N=536010924952159916075418732709442497083178964476160436594019920977080518174084042417641026577862786883052013317047243497600983876354126527 ( 138 digits) SNFS difficulty: 147 digits. Divisors found: r1=6442862514461602713781483216855754068454488467466706327 (pp55) r2=83194530963377483428159654973172315536690121265505564170886744203220844329565112601 (pp83) Version: GGNFS-0.77.1-20051202-athlon Total time: 12.48 hours. Scaled time: 14.92 units (timescale=1.196). Factorization parameters were as follows: name: KA_4_0_146_1 n: 536010924952159916075418732709442497083178964476160436594019920977080518174084042417641026577862786883052013317047243497600983876354126527 type: snfs skew: 1 deg: 5 c5: 25 c0: 2 m: 200000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1200001) Primes: RFBsize:230209, AFBsize:229762, largePrimes:6131938 encountered Relations: rels:5626042, finalFF:530810 Max relations in full relation-set: 28 Initial matrix: 460035 x 530810 with sparse part having weight 20240880. Pruned matrix : 379958 x 382322 with weight 10978773. Total sieving time: 10.35 hours. Total relation processing time: 0.19 hours. Matrix solve time: 1.87 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 12.48 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
The factor table of 400...001 was completed up to n=150.
Mar 27, 2007 (2nd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(82·10¹⁵⁴-1)/9 = 9(1)₁₅₄_<155> = 607 · 40241 · C148
C148 = P60 · P89
P60 = 232620404026051435877540073297669760912942073309419855799819_<60>
P89 = 16034893568762225974436715045034787578075921818623102241641956001895225911887448184842587_<89>

Number: 91111_154 N=3730043420480202787722551164289157460203063654787611031963683678616856958698270887880385222326713475163503610315849932947693241756764387117498091753 ( 148 digits) SNFS difficulty: 156 digits. Divisors found: r1=232620404026051435877540073297669760912942073309419855799819 (pp60) r2=16034893568762225974436715045034787578075921818623102241641956001895225911887448184842587 (pp89) Version: GGNFS-0.77.1-20050930-k8 Total time: 27.18 hours. Scaled time: 24.63 units (timescale=0.906). Factorization parameters were as follows: n: 3730043420480202787722551164289157460203063654787611031963683678616856958698270887880385222326713475163503610315849932947693241756764387117498091753 m: 10000000000000000000000000000000 c5: 41 c0: -5 skew: 1 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:216857, largePrimes:5742989 encountered Relations: rels:5785422, finalFF:617603 Max relations in full relation-set: 28 Initial matrix: 433738 x 617603 with sparse part having weight 50496076. Pruned matrix : 331821 x 334053 with weight 31384416. Total sieving time: 25.97 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.06 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: 27.18 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.08 BogoMIPS).
Mar 27, 2007: By suberi / GMP-ECM 6.1.2 B1=3000000
(4·10¹⁸⁹-1)/3 = 1(3)₁₈₉_<190> = 1379239 · 1407246178887083_<16> · 13561187776115168413489_<23> · C146
C146 = P45 · P101
P45 = 609907445068425332836810159001893712243111053_<45>
P101 = 83055321804349639576102906880439026197926622771540000562342810500715775296766525603462725052646736477_<101>
Mar 26, 2007 (4th): By Wataru Sakai / GMP-ECM 6.1.1 B1=11000000
4·10¹⁷⁸+1 = 4(0)₁₇₇1_<179> = 13 · C178
C178 = P36 · C142
P36 = 566167021042476149422414249581680453_<36>
C142 = [5434656139556799894979519578367289662179199394390968777423929565472413299191034750588773051949376501146939751768504380636817182877903411483009_<142>]
4·10¹⁹⁴+1 = 4(0)₁₉₃1_<195> = C195
C195 = P30 · C165
P30 = 721324202162977116296517293557_<30>
C165 = [554535670369234852818186783094108976406476630773560262269780712723019734760680133249031167487487578182210303192224034007942925509576722640178918674833524064211545693_<165>]
4·10¹⁷⁹+1 = 4(0)₁₇₈1_<180> = 7 · 18457340200388066441_<20> · C160
C160 = P34 · P126
P34 = 6004231495142581556980974994915411_<34>
P126 = 515626709759236369230555350134883854087864590105169849025864162520888571350730707352467835084057429485986388639654825004337893_<126>
Mar 26, 2007 (3rd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs
4·10¹⁷¹+1 = 4(0)₁₇₀1_<172> = 23 · 41 · 641 · 55305917 · 571780967537331426467595011_<27> · 983788565105385106532942023_<27> · C105
C105 = P43 · P62
P43 = 3392183977152881040429986688657533088590419_<43>
P62 = 62705813661270651499429351472678860702534232323580249870005333_<62>

Number: n N=212709656376096539510259200807618971840532704002253441256324493571381200520965039506099236731956982704527 ( 105 digits) Divisors found: r1=3392183977152881040429986688657533088590419 (pp43) r2=62705813661270651499429351472678860702534232323580249870005333 (pp62) Version: GGNFS-0.77.1-20051202-athlon Total time: 10.75 hours. Scaled time: 10.64 units (timescale=0.990). Factorization parameters were as follows: name: KA_4_0_170_1 n: 212709656376096539510259200807618971840532704002253441256324493571381200520965039506099236731956982704527 skew: 14380.93 # norm 3.19e+14 c5: 48600 c4: -227361600 c3: -38191978082154 c2: 33010484434394054 c1: 3025096088669510617169 c0: -3257925683541972899940235 # alpha -6.19 Y1: 130154725151 Y0: -84767780379198762372 # Murphy_E 1.99e-09 # M 125472220538461468590658822163936950389663905049084161686308835154986406703146680462682841295132032235112 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [100000, 1150001) Primes: RFBsize:183072, AFBsize:182819, largePrimes:4056153 encountered Relations: rels:4064115, finalFF:467875 Max relations in full relation-set: 28 Initial matrix: 365969 x 467875 with sparse part having weight 24168525. Pruned matrix : 265860 x 267753 with weight 9755268. Total sieving time: 9.31 hours. Total relation processing time: 0.20 hours. Matrix solve time: 1.10 hours. Total square root time: 0.14 hours, sqrts: 1. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 10.75 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 26, 2007 (2nd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
4·10¹⁴⁶+1 = 4(0)₁₄₅1_<147> = 41 · 2729 · C142
C142 = P34 · P45 · P64
P34 = 2184156109565083400994331504190413_<34>
P45 = 185296227258331476479382730913150879294782961_<45>
P64 = 8833287103024449941246276528945173645345205610821578498935895813_<64>

Number: 40001_146 N=3574971623662737177023657374719588163268954052677206874670432303443591416493131585768037966198643298268819991241319522026293916292039431937009 ( 142 digits) SNFS difficulty: 147 digits. Divisors found: r1=2184156109565083400994331504190413 (pp34) r2=185296227258331476479382730913150879294782961 (pp45) r3=8833287103024449941246276528945173645345205610821578498935895813 (pp64) Version: GGNFS-0.77.1-20050930-k8 Total time: 11.10 hours. Scaled time: 10.07 units (timescale=0.907). Factorization parameters were as follows: n: 3574971623662737177023657374719588163268954052677206874670432303443591416493131585768037966198643298268819991241319522026293916292039431937009 m: 200000000000000000000000000000 c5: 5 c0: 4 skew: 1 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [900000, 1500001) Primes: RFBsize:135072, AFBsize:135393, largePrimes:2641367 encountered Relations: rels:2616307, finalFF:305586 Max relations in full relation-set: 28 Initial matrix: 270531 x 305586 with sparse part having weight 16440611. Pruned matrix : 246464 x 247880 with weight 11245106. Total sieving time: 10.77 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.26 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000 total time: 11.10 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335813) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334235) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 26, 2007: By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
4·10¹³⁷+1 = 4(0)₁₃₆1_<138> = 7 · 19 · 53 · 1009 · 3823 · 218117 · 1603681 · C116
C116 = P44 · P73
P44 = 23055346723785830899288317321960983887657807_<44>
P73 = 1824138707895749513832021600956777695371243638120294559951871173502726613_<73>

Number: n N=42056150382815187340608288415963360727540025238675488454995900690060512257700402921594947707089725919687392816117691 ( 116 digits) SNFS difficulty: 137 digits. Divisors found: r1=23055346723785830899288317321960983887657807 (pp44) r2=1824138707895749513832021600956777695371243638120294559951871173502726613 (pp73) Version: GGNFS-0.77.1-20051202-athlon Total time: 7.70 hours. Scaled time: 9.21 units (timescale=1.195). Factorization parameters were as follows: name: KA_4_0_136_1 n: 42056150382815187340608288415963360727540025238675488454995900690060512257700402921594947707089725919687392816117691 type: snfs skew: 1 deg: 5 c5: 25 c0: 2 m: 2000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 600001) Primes: RFBsize:230209, AFBsize:229762, largePrimes:5695614 encountered Relations: rels:5305013, finalFF:609531 Max relations in full relation-set: 28 Initial matrix: 460035 x 609531 with sparse part having weight 16764403. Pruned matrix : 274172 x 276536 with weight 5369499. Total sieving time: 6.73 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.71 hours. Total square root time: 0.11 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,75000 total time: 7.70 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 25, 2007 (4th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
3·10¹⁴⁹+1 = 3(0)₁₄₈1_<150> = 13 · 43 · 280811 · C142
C142 = P38 · P105
P38 = 18451977947946169372964490164450899739_<38>
P105 = 103574394682250651492366474771488310679253472549528420564006228321981430254572052540584974107852577311191_<105>

Number: n N=1911152446648762013735210554754743749526551797018741060305721068612736293216245262117711459414680641106790682028450574753297771585417343679149 ( 142 digits) SNFS difficulty: 150 digits. Divisors found: r1=18451977947946169372964490164450899739 (pp38) r2=103574394682250651492366474771488310679253472549528420564006228321981430254572052540584974107852577311191 (pp105) Version: GGNFS-0.77.1-20051202-athlon Total time: 22.38 hours. Scaled time: 26.75 units (timescale=1.195). Factorization parameters were as follows: name: KA_3_0_148_1 n: 1911152446648762013735210554754743749526551797018741060305721068612736293216245262117711459414680641106790682028450574753297771585417343679149 type: snfs skew: 1 deg: 5 c5: 3 c0: 10 m: 1000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1000001) Primes: RFBsize:230209, AFBsize:230152, largePrimes:6038524 encountered Relations: rels:5584733, finalFF:558762 Max relations in full relation-set: 28 Initial matrix: 460426 x 558762 with sparse part having weight 21884723. Pruned matrix : 358008 x 360374 with weight 10725995. Total sieving time: 20.29 hours. Total relation processing time: 0.18 hours. Matrix solve time: 1.86 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 22.38 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
The factor table of 300...001 was completed up to n=150.
Mar 25, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
4·10¹⁴¹+1 = 4(0)₁₄₀1_<142> = 41 · 3167 · C137
C137 = P40 · P41 · P57
P40 = 1385099246529648770253437136267455844731_<40>
P41 = 41102459480233672086378912659093765960173_<41>
P57 = 541102285545511773447658741193840771596059733459284964441_<57>

Number: 40001_141 N=30805486457138016280699592597441604349734687747887898834782474758754534182537910001771315471285435936140226574352892250109744545503554183 ( 137 digits) SNFS difficulty: 142 digits. Divisors found: r1=1385099246529648770253437136267455844731 (pp40) r2=41102459480233672086378912659093765960173 (pp41) r3=541102285545511773447658741193840771596059733459284964441 (pp57) Version: GGNFS-0.77.1-20050930-k8 Total time: 7.40 hours. Scaled time: 6.62 units (timescale=0.895). Factorization parameters were as follows: n: 30805486457138016280699592597441604349734687747887898834782474758754534182537910001771315471285435936140226574352892250109744545503554183 m: 20000000000000000000000000000 c5: 5 c0: 4 skew: 1 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, 1150001) Primes: RFBsize:114155, AFBsize:114197, largePrimes:2653362 encountered Relations: rels:2673267, finalFF:324511 Max relations in full relation-set: 28 Initial matrix: 228418 x 324511 with sparse part having weight 19927266. Pruned matrix : 177819 x 179025 with weight 9374541. Total sieving time: 7.21 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.12 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 7.40 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335813) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334235) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 25, 2007 (2nd): By suberi / GMP-ECM 6.1.2 B1=1500000
(10¹⁹⁰+53)/9 = (1)₁₈₉7_<190> = 317 · 827 · 44875162230601_<14> · C170
C170 = P33 · P138
P33 = 497811278826090990386154752018161_<33>
P138 = 189723861350920471225486081015749698379077197353000850772531811636527991762209575613746494032092565495097753015031636182159064743140805883_<138>
Mar 25, 2007: By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(61·10¹⁵⁴-7)/9 = 6(7)₁₅₄_<155> = 47 · 1901127231469_<13> · C141
C141 = P65 · P77
P65 = 15449228959889505678903871315182748873746361954118799891643517789_<65>
P77 = 49098867557942295120670149975881643072020141070454812365305226919065044586551_<77>

Number: trial N=758539646573941437749720403994032529006687526133316212579427198765475459899081071283698953488066677740729619955184599536546418305464718655739 ( 141 digits) SNFS difficulty: 156 digits. Divisors found: r1=15449228959889505678903871315182748873746361954118799891643517789 (pp65) r2=49098867557942295120670149975881643072020141070454812365305226919065044586551 (pp77) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 86.37 hours. Scaled time: 45.95 units (timescale=0.532). Factorization parameters were as follows: n: 758539646573941437749720403994032529006687526133316212579427198765475459899081071283698953488066677740729619955184599536546418305464718655739 m: 10000000000000000000000000000000 c5: 61 c0: -70 skew: 1.03 type: snfsFactor 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:215937, largePrimes:5630489 encountered Relations: rels:5528421, finalFF:498175 Max relations in full relation-set: 0 Initial matrix: 432818 x 498175 with sparse part having weight 45488559. Pruned matrix : 406257 x 408485 with weight 32614309. Total sieving time: 68.87 hours. Total relation processing time: 0.60 hours. Matrix solve time: 16.55 hours. Time per square root: 0.35 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: 86.37 hours. --------- CPU info (if available) ----------
Mar 24, 2007 (6th): By suberi / GMP-ECM 6.1.2 B1=1500000
(10¹⁸¹+53)/9 = (1)₁₈₀7_<181> = 7 · 191 · 1447 · 12373 · C170
C170 = P35 · P135
P35 = 59944560930672769912224103774471799_<35>
P135 = 774341892801138722769038296323949007707741157304392299689179236900059833331313025992038840594454667820419468024609247807834263463108289_<135>
(10¹⁹⁸+53)/9 = (1)₁₉₇7_<198> = 3 · 11618966467_<11> · 272033009875993867_<18> · C170
C170 = P32 · C138
P32 = 30874217309083734095351287845727_<32>
C138 = [379534425199519751802558862062259553534112280564965144585212678040651849592463853984445240166695146589693057988042923980473715294957117713_<138>]
Mar 24, 2007 (5th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(10¹⁵⁴+11)/3 = (3)₁₅₃7_<154> = 379 · 22973 · 120588737 · C139
C139 = P43 · P47 · P49
P43 = 7544120729352931097852968698233932678745227_<43>
P47 = 48431736813392301590373185023279934003162249891_<47>
P49 = 8689132158836105024407698702203742306290102326679_<49>

Number: n N=3174790529927899534422665391360944333364806413078654198479087131608603674228467671965504741912997056441681538202948620630712819782034036503 ( 139 digits) SNFS difficulty: 155 digits. Divisors found: r1=7544120729352931097852968698233932678745227 (pp43) r2=48431736813392301590373185023279934003162249891 (pp47) r3=8689132158836105024407698702203742306290102326679 (pp49) Version: GGNFS-0.77.1-20051202-athlon Total time: 35.18 hours. Scaled time: 42.19 units (timescale=1.199). Factorization parameters were as follows: name: KA_3_153_7 n: 3174790529927899534422665391360944333364806413078654198479087131608603674228467671965504741912997056441681538202948620630712819782034036503 type: snfs skew: 1 deg: 5 c5: 1 c0: 110 m: 10000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 2800001) Primes: RFBsize:230209, AFBsize:230648, largePrimes:7397308 encountered Relations: rels:6898240, finalFF:534130 Max relations in full relation-set: 28 Initial matrix: 460921 x 534130 with sparse part having weight 38277702. Pruned matrix : 408055 x 410423 with weight 26420103. Total sieving time: 29.30 hours. Total relation processing time: 0.19 hours. Matrix solve time: 5.21 hours. Total square root time: 0.49 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 35.18 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 24, 2007 (4th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
4·10¹³⁹+1 = 4(0)₁₃₈1_<140> = 641 · 27851 · C133
C133 = P61 · P72
P61 = 7102095496029555951338486428062736055043334947960741098720689_<61>
P72 = 315482054875753501037036269251586513863489506091455405288439226913423699_<72>

Number: 30001_139 N=2240583681011238151583440092477850850057843468454906376930815985287431317007805801442498976753440178180176648737702766521489914208611 ( 133 digits) SNFS difficulty: 140 digits. Divisors found: r1=7102095496029555951338486428062736055043334947960741098720689 (pp61) r2=315482054875753501037036269251586513863489506091455405288439226913423699 (pp72) Version: GGNFS-0.77.1-20050930-k8 Total time: 8.58 hours. Scaled time: 7.77 units (timescale=0.905). Factorization parameters were as follows: n: 2240583681011238151583440092477850850057843468454906376930815985287431317007805801442498976753440178180176648737702766521489914208611 m: 10000000000000000000000000000 c5: 2 c0: 5 skew: 1.2 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [650000, 1150001) Primes: RFBsize:100021, AFBsize:99363, largePrimes:1578992 encountered Relations: rels:1629798, finalFF:241123 Max relations in full relation-set: 28 Initial matrix: 199449 x 241123 with sparse part having weight 10143150. Pruned matrix : 172207 x 173268 with weight 6295764. Total sieving time: 8.46 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.08 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000 total time: 8.58 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335813) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334235) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 24, 2007 (3rd): By Alfred Reich / GMP-ECM B1=500000
10⁹⁰⁸+1 = 1(0)₉₀₇1_<909> = 73 · 137 · 285113 · 9419593 · 227165039897_<12> · C881
C881 = P37 · C844
P37 = 3807960958399006163762044938087483809_<37>
C844 = [4304011589843391014650658235505329949871751140563599604819840057463188843469403445050796836064297177141743491344058167353249785331012310283113532723970464380415218789297453601728394059603084153179243926781291576513844045576686305866338578844027945196495337813932986508166348651300882380217196839427590038172195743290681854096987188298138279008174571726499244450616512700403834454792857104888796722367969930545996327346289992694880432920507844931852753107934643879174985688347282698671170664733023120429358285265783370040535302435624377564200840845165362706841047727730263552281976488781141247675441240545610662922217686249874781389229039939830542986976575550678328214886238059683964908857311171270037200840332507004282564390954411475394337980444799820049557055125339576122509817486779514751262773644681965508670248363470452661827609186970683193_<844>]
Mar 24, 2007 (2nd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
3·10¹⁷⁷+1 = 3(0)₁₇₆1_<178> = 67 · 971 · 1181 · 1487 · 230479 · 825733 · 3109400284219346651_<19> · 126785306124523882133503879_<27> · C111
C111 = P36 · P75
P36 = 559219839704943337643116206350631409_<36>
P75 = 625845632053760575390249120386323002760427242323498242975273828154385498197_<75>

Number: 30001_177 N=349985294037142937023626087334501084652991562744579542870530549887165774441375073483589661777470537343981069573 ( 111 digits) Divisors found: r1=559219839704943337643116206350631409 (pp36) r2=625845632053760575390249120386323002760427242323498242975273828154385498197 (pp75) Version: GGNFS-0.77.1-20050930-k8 Total time: 21.23 hours. Scaled time: 19.24 units (timescale=0.906). Factorization parameters were as follows: name: 30001_177 n: 349985294037142937023626087334501084652991562744579542870530549887165774441375073483589661777470537343981069573 skew: 15601.15 # norm 9.84e+14 c5: 29640 c4: 5032753936 c3: -30601470931224 c2: -1120220487668463327 c1: 7586541853076428459816 c0: 4867968944726300546755167 # alpha -5.28 Y1: 215853844679 Y0: -1638446920404058499690 # Murphy_E 8.64e-10 # M 310554946319189235575576633090641599125096887599022052198451856874598952273869120055693059034498175184100593502 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, 2100001) Primes: RFBsize:176302, AFBsize:176298, largePrimes:7590968 encountered Relations: rels:7376238, finalFF:430717 Max relations in full relation-set: 28 Initial matrix: 352681 x 430717 with sparse part having weight 43746566. Pruned matrix : 303195 x 305022 with weight 28868426. Total sieving time: 20.15 hours. Total relation processing time: 0.16 hours. Matrix solve time: 0.81 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000 total time: 21.23 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335813) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334235) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 24, 2007: By Shaopu Lin / Msieve v. 1.17
4·10¹³⁴+1 = 4(0)₁₃₃1_<135> = 2521769 · 6482122769_<10> · 498771505631914848917_<21> · C98
C98 = P45 · P54
P45 = 339732985011027186094197732510445277293910533_<45>
P54 = 144410272621457596142773322790127495868916847945915681_<54>

Fri Mar 23 14:54:47 2007 Fri Mar 23 14:54:47 2007 Fri Mar 23 14:54:47 2007 Msieve v. 1.17 Fri Mar 23 14:54:47 2007 random seeds: 43e71c9a 60c79983 Fri Mar 23 14:54:47 2007 factoring 49060932983944003138619507865794328431537398530751722286000745421350817401943951719152669975767973 (98 digits) Fri Mar 23 14:54:48 2007 commencing quadratic sieve (98-digit input) Fri Mar 23 14:54:48 2007 using multiplier of 13 Fri Mar 23 14:54:48 2007 sieve interval: 9 blocks of size 65536 Fri Mar 23 14:54:48 2007 processing polynomials in batches of 6 Fri Mar 23 14:54:48 2007 using a sieve bound of 2500601 (91765 primes) Fri Mar 23 14:54:48 2007 using large prime bound of 375090150 (28 bits) Fri Mar 23 14:54:48 2007 using double large prime bound of 2712964789985100 (43-52 bits) Fri Mar 23 14:54:48 2007 using trial factoring cutoff of 57 bits Fri Mar 23 14:54:48 2007 polynomial 'A' values have 13 factors Sat Mar 24 01:26:18 2007 92124 relations (23135 full + 68989 combined from 1351734 partial), need 91861 Sat Mar 24 01:26:19 2007 begin with 1374869 relations Sat Mar 24 01:26:22 2007 reduce to 237829 relations in 11 passes Sat Mar 24 01:26:22 2007 attempting to read 237829 relations Sat Mar 24 01:26:26 2007 recovered 237829 relations Sat Mar 24 01:26:26 2007 recovered 225415 polynomials Sat Mar 24 01:26:27 2007 attempting to build 92124 cycles Sat Mar 24 01:26:27 2007 found 92124 cycles in 5 passes Sat Mar 24 01:26:27 2007 distribution of cycle lengths: Sat Mar 24 01:26:27 2007 length 1 : 23135 Sat Mar 24 01:26:27 2007 length 2 : 16209 Sat Mar 24 01:26:27 2007 length 3 : 15558 Sat Mar 24 01:26:27 2007 length 4 : 12658 Sat Mar 24 01:26:27 2007 length 5 : 9124 Sat Mar 24 01:26:27 2007 length 6 : 6091 Sat Mar 24 01:26:27 2007 length 7 : 4022 Sat Mar 24 01:26:27 2007 length 9+: 5327 Sat Mar 24 01:26:27 2007 largest cycle: 19 relations Sat Mar 24 01:26:28 2007 matrix is 91765 x 92124 with weight 5948053 (avg 64.57/col) Sat Mar 24 01:26:29 2007 filtering completed in 3 passes Sat Mar 24 01:26:29 2007 matrix is 90084 x 90148 with weight 5741377 (avg 63.69/col) Sat Mar 24 01:26:30 2007 saving the first 48 matrix rows for later Sat Mar 24 01:26:30 2007 matrix is 90036 x 90148 with weight 4391751 (avg 48.72/col) Sat Mar 24 01:26:30 2007 matrix includes 32 packed rows Sat Mar 24 01:31:47 2007 lanczos halted after 1425 iterations Sat Mar 24 01:31:48 2007 recovered 14 nontrivial dependencies Sat Mar 24 01:31:50 2007 prp45 factor: 339732985011027186094197732510445277293910533 Sat Mar 24 01:31:50 2007 prp54 factor: 144410272621457596142773322790127495868916847945915681 Sat Mar 24 01:31:50 2007 elapsed time 10:37:03
Mar 23, 2007 (6th): The factor table of 400...001 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 23, 2007 (5th): By Alfred Reich / GMP-ECM B1=1000000
10¹³²⁹+1 = 1(0)₁₃₂₈1_<1330> = 7 · 11 · 13 · 887 · 2659 · 37265161 · 68209597 · 3646836465960880692292201915543408162476049_<43> · [1056936920749964722929828576624217604146887673567661698146974403860730882430792714566017124364090647084708761042672412110583342292077804307482388499001109008194875836195841990475402074719478633242189283412047635153545645032028344137331511134704077687538175641102136020445005471151998617932091877877913277007525468543178676185089859186550080677532355108510234998991838967281973483348896796755223_<394>] · C869
C869 = P29 · C840
P29 = 88069370339005814813332403179_<29>
C840 = [490891182024055768303752448641711254423965418035815948434540059825112526865794436891158692344525740667640215258095895206329386376678402738775497808175021519842805327426106442373856336850571315530961479638250093659953397539875582001392216062410162111734230403799329909279629474278117095074949361610801053309078179578765676913094212535145467716201912187985533289286101878598434483506183916691225899431281901210559325567363985600274656341045284488282414867400615456204294619663505148649829642437069440418643662744942039427890109652539672121197076171571860904552661826173448806554360971818577812524996561063671351439779588997281497543003882019346099698333311943121452149103038987112141501284299533953009969661940609519236049791940648085437210318272370951609760658678065732274533718045425407568887423257854476732620452773560574452704443488415877_<840>]
Mar 23, 2007 (4th): By Yousuke Koide / GMP-ECM / Mar 15, 2007
10¹⁰⁴⁴+1 = 1(0)₁₀₄₃1_<1045> = 73 · 137 · 233 · 3169 · 13921 · 98641 · 355193 · 99990001 · 21591416633_<11> · 192346125251257_<15> · 3199044596370769_<16> · 11090099157944399977_<20> · 17468739848498438039329935679794457_<35> · 246900403017958787131873605843061988161_<39> · 320326994163169943384295066992439316655840979654890345228609_<60> · 2623709608263520547879954791214412810391703985166673562220208867630775121385164482905259044455273939230491414883050557483687370269811018178176841590586944036054473_<163> · C658
C658 = P31 · P628
P31 = 1625458218739290128864916634393_<31>
P628 = 3198458699783050536968283401478982683944528000068135835839586527370144819849764922320573399552615795836284837690553084192932370474126106776285338588228275657236279389210630068653431296486652949237156444521521152418640091807354686792087134015545130855986648074389240747528765978498126669434936092301530847500040330892702072177445595054747262623246459270677168775935422451177882409563066968720256690285465719695234904487207368361185299854596149960626836167373098838553773698029915536112232582904128376139462422005842249372344048254807991740818332936597022240787264242857005018741508465960721402060639401624790434299746509191318001_<628>
By Yousuke Koide / GMP-ECM / Mar 17, 2007
(10⁷¹⁹-1)/9 = (1)₇₁₉_<719> = 1439 · 1153277 · 6699643 · C702
C702 = P40 · C663
P40 = 3713656876665286297046096029015677459199_<40>
C663 = [269097479386038576036358324111351774806252265640747217262071077189387212219811678802485493254067295614358833851846346846112373614951579138009912107531825433722907258144026470897326730436327972589621793493828435956171945704741239221872251269735271946392127516869504289440634603138735776750777050975850022700923009814235995356036666401273827145316553631769106025832008477594679623338432757544279350895770964184294952891206974288204046187565654983102962849566418022038627835250348032633372718008292520671008293816721752400771336200089796153543716360753236555894101881377432325335995230001091002680143876905641146960653145348907542114406930665370204654545512135947241_<663>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Mar 23, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
3·10¹⁴⁵+1 = 3(0)₁₄₄1_<146> = 23 · 163365916333_<12> · C133
C133 = P43 · P91
P43 = 1512111483928357227059586147307533255856999_<43>
P91 = 5280173022660233758936952412889720282802454835751048118163212654450579862340614890525644261_<91>

Number: 30001_145 N=7984210264693245460064507559711094683106232413676197102921955777594960957994230311233711913285244527822227900636517028122986161032739 ( 133 digits) SNFS difficulty: 145 digits. Divisors found: r1=1512111483928357227059586147307533255856999 (pp43) r2=5280173022660233758936952412889720282802454835751048118163212654450579862340614890525644261 (pp91) Version: GGNFS-0.77.1-20050930-k8 Total time: 9.90 hours. Scaled time: 8.99 units (timescale=0.908). Factorization parameters were as follows: n: 7984210264693245460064507559711094683106232413676197102921955777594960957994230311233711913285244527822227900636517028122986161032739 m: 100000000000000000000000000000 c5: 3 c0: 1 skew: 1 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, 1300001) Primes: RFBsize:114155, AFBsize:114062, largePrimes:2646018 encountered Relations: rels:2633399, finalFF:294706 Max relations in full relation-set: 28 Initial matrix: 228282 x 294706 with sparse part having weight 19441463. Pruned matrix : 198508 x 199713 with weight 10628700. Total sieving time: 9.68 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.15 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 9.90 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335813) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334235) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 23, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(71·10¹⁵⁴-17)/9 = 7(8)₁₅₃7_<155> = 197 · 520867 · 5751145261_<10> · C138
C138 = P47 · P91
P47 = 53701924431312439410408177111495360811709318993_<47>
P91 = 2489307707460823521893037761555514767129507905859057023337340854513007304174704820222113581_<91>

Number: n N=133680614392344757498170778665032531414430724998130071499961029024244849458358250472303926326253296322462495221636126193770469832606543933 ( 138 digits) SNFS difficulty: 156 digits. Divisors found: r1=53701924431312439410408177111495360811709318993 (pp47) r2=2489307707460823521893037761555514767129507905859057023337340854513007304174704820222113581 (pp91) Version: GGNFS-0.77.1-20051202-athlon Total time: 44.09 hours. Scaled time: 52.56 units (timescale=1.192). Factorization parameters were as follows: name: KA_7_8_153_7 n: 133680614392344757498170778665032531414430724998130071499961029024244849458358250472303926326253296322462495221636126193770469832606543933 type: snfs skew: 1 deg: 5 c5: 71 c0: -170 m: 10000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 3100001) Primes: RFBsize:230209, AFBsize:229943, largePrimes:7474870 encountered Relations: rels:6962838, finalFF:520544 Max relations in full relation-set: 28 Initial matrix: 460217 x 520544 with sparse part having weight 39980357. Pruned matrix : 426050 x 428415 with weight 29284340. Total sieving time: 36.86 hours. Total relation processing time: 0.21 hours. Matrix solve time: 6.44 hours. Total square root time: 0.58 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 44.09 hours. --------- CPU info (if available) ---------- Cygwin on Amd XP 2700+
Mar 23, 2007: By Shaopu Lin / Msieve v. 1.17, GGNFS-0.77.1-20060722-pentium4 gnfs
3·10¹⁵¹+1 = 3(0)₁₅₀1_<152> = 31 · 397 · 38197 · 60017 · 2703403 · 2730124326417233_<16> · 373344263955479291_<18> · C99
C99 = P35 · P64
P35 = 62705195924448530372188252023190597_<35>
P64 = 6154025449218468087679049299048266043351577284513852625291792459_<64>

Wed Mar 21 14:15:09 2007 Wed Mar 21 14:15:09 2007 Wed Mar 21 14:15:09 2007 Msieve v. 1.17 Wed Mar 21 14:15:09 2007 random seeds: 98c0ffc5 75556fe9 Wed Mar 21 14:15:09 2007 factoring 385889371517286421442250331069095000754556604021618402863747194455031301300113592412525634324308023 (99 digits) Wed Mar 21 14:15:09 2007 commencing quadratic sieve (99-digit input) Wed Mar 21 14:15:09 2007 using multiplier of 47 Wed Mar 21 14:15:09 2007 sieve interval: 9 blocks of size 65536 Wed Mar 21 14:15:09 2007 processing polynomials in batches of 6 Wed Mar 21 14:15:09 2007 using a sieve bound of 2611159 (95294 primes) Wed Mar 21 14:15:09 2007 using large prime bound of 391673850 (28 bits) Wed Mar 21 14:15:09 2007 using double large prime bound of 2932676752219800 (43-52 bits) Wed Mar 21 14:15:09 2007 using trial factoring cutoff of 57 bits Wed Mar 21 14:15:09 2007 polynomial 'A' values have 13 factors Wed Mar 21 14:34:52 2007 535 relations (527 full + 8 combined from 29903 partial), need 95390 Wed Mar 21 14:34:52 2007 c99 factor: 385889371517286421442250331069095000754556604021618402863747194455031301300113592412525634324308023 Wed Mar 21 14:34:52 2007 elapsed time 00:19:43 Wed Mar 21 14:47:22 2007 Wed Mar 21 14:47:22 2007 Wed Mar 21 14:47:22 2007 Msieve v. 1.17 Wed Mar 21 14:47:22 2007 random seeds: 74180741 05ba4e00 Wed Mar 21 14:47:22 2007 factoring 385889371517286421442250331069095000754556604021618402863747194455031301300113592412525634324308023 (99 digits) Wed Mar 21 14:47:23 2007 commencing quadratic sieve (99-digit input) Wed Mar 21 14:47:23 2007 using multiplier of 47 Wed Mar 21 14:47:23 2007 sieve interval: 9 blocks of size 65536 Wed Mar 21 14:47:23 2007 processing polynomials in batches of 6 Wed Mar 21 14:47:23 2007 using a sieve bound of 2611159 (95294 primes) Wed Mar 21 14:47:23 2007 using large prime bound of 391673850 (28 bits) Wed Mar 21 14:47:23 2007 using double large prime bound of 2932676752219800 (43-52 bits) Wed Mar 21 14:47:23 2007 using trial factoring cutoff of 57 bits Wed Mar 21 14:47:23 2007 polynomial 'A' values have 13 factors Wed Mar 21 14:47:23 2007 restarting with 527 full and 29903 partial relations Wed Mar 21 17:41:13 2007 6172 relations (5073 full + 1099 combined from 300728 partial), need 95390 Wed Mar 21 17:41:13 2007 c99 factor: 385889371517286421442250331069095000754556604021618402863747194455031301300113592412525634324308023 Wed Mar 21 17:41:13 2007 elapsed time 02:53:51 Wed Mar 21 18:24:55 2007 Wed Mar 21 18:24:55 2007 Wed Mar 21 18:24:55 2007 Msieve v. 1.17 Wed Mar 21 18:24:55 2007 random seeds: b2ab1b94 1f8bf804 Wed Mar 21 18:24:55 2007 factoring 385889371517286421442250331069095000754556604021618402863747194455031301300113592412525634324308023 (99 digits) Wed Mar 21 18:24:55 2007 commencing quadratic sieve (99-digit input) Wed Mar 21 18:24:56 2007 using multiplier of 47 Wed Mar 21 18:24:56 2007 sieve interval: 9 blocks of size 65536 Wed Mar 21 18:24:56 2007 processing polynomials in batches of 6 Wed Mar 21 18:24:56 2007 using a sieve bound of 2611159 (95294 primes) Wed Mar 21 18:24:56 2007 using large prime bound of 391673850 (28 bits) Wed Mar 21 18:24:56 2007 using double large prime bound of 2932676752219800 (43-52 bits) Wed Mar 21 18:24:56 2007 using trial factoring cutoff of 57 bits Wed Mar 21 18:24:56 2007 polynomial 'A' values have 13 factors Wed Mar 21 18:24:57 2007 restarting with 5073 full and 300728 partial relations Thu Mar 22 06:26:27 2007 95394 relations (23334 full + 72060 combined from 1407826 partial), need 95390 Thu Mar 22 06:26:31 2007 begin with 1431160 relations Thu Mar 22 06:26:34 2007 reduce to 248028 relations in 12 passes Thu Mar 22 06:26:34 2007 attempting to read 248028 relations Thu Mar 22 06:26:39 2007 recovered 248028 relations Thu Mar 22 06:26:39 2007 recovered 237984 polynomials Thu Mar 22 06:26:39 2007 attempting to build 95394 cycles Thu Mar 22 06:26:40 2007 found 95394 cycles in 6 passes Thu Mar 22 06:26:40 2007 distribution of cycle lengths: Thu Mar 22 06:26:40 2007 length 1 : 23334 Thu Mar 22 06:26:40 2007 length 2 : 17078 Thu Mar 22 06:26:40 2007 length 3 : 15986 Thu Mar 22 06:26:40 2007 length 4 : 13025 Thu Mar 22 06:26:40 2007 length 5 : 9632 Thu Mar 22 06:26:40 2007 length 6 : 6464 Thu Mar 22 06:26:40 2007 length 7 : 4197 Thu Mar 22 06:26:40 2007 length 9+: 5678 Thu Mar 22 06:26:40 2007 largest cycle: 20 relations Thu Mar 22 06:26:41 2007 matrix is 95294 x 95394 with weight 6270112 (avg 65.73/col) Thu Mar 22 06:26:42 2007 filtering completed in 3 passes Thu Mar 22 06:26:42 2007 matrix is 93740 x 93804 with weight 6115800 (avg 65.20/col) Thu Mar 22 06:26:43 2007 saving the first 48 matrix rows for later Thu Mar 22 06:26:43 2007 matrix is 93692 x 93804 with weight 4698380 (avg 50.09/col) Thu Mar 22 06:26:43 2007 matrix includes 32 packed rows Thu Mar 22 06:32:36 2007 lanczos halted after 1483 iterations Thu Mar 22 06:32:37 2007 recovered 16 nontrivial dependencies Thu Mar 22 06:32:38 2007 prp35 factor: 62705195924448530372188252023190597 Thu Mar 22 06:32:38 2007 prp64 factor: 6154025449218468087679049299048266043351577284513852625291792459 Thu Mar 22 06:32:38 2007 elapsed time 12:07:43
3·10¹⁴³+1 = 3(0)₁₄₂1_<144> = 13 · 47 · 2099 · 4231 · 4259 · 17736799 · 74115735887240684807_<20> · C103
C103 = P33 · P71
P33 = 120940167904876203213061027933433_<33>
P71 = 81650848796699811506688800647364367461674661533783095495619303656848309_<71>

Number: 3.143.+1 N=9874867363048534300768923310572398538246738841229883690278000169463929671639994810806096769076230614797 ( 103 digits) Divisors found: r1=120940167904876203213061027933433 (pp33) r2=81650848796699811506688800647364367461674661533783095495619303656848309 (pp71) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 13.81 hours. Scaled time: 17.13 units (timescale=1.241). Factorization parameters were as follows: name: 3.143.+1 n: 9874867363048534300768923310572398538246738841229883690278000169463929671639994810806096769076230614797 skew: 6749.35 # norm 4.00e+13 c5: 48600 c4: -371210235 c3: -5500894816123 c2: 14026046391797824 c1: 138005832591685066335 c0: -1470412156833659345697 # alpha -4.71 Y1: 37579168649 Y0: -45875366177130951970 # Murphy_E 2.38e-09 # M 9655638943442329929065301975488399586430887237464357172778108578355126427732345746409409778290330587088 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 1950001) Primes: RFBsize:169511, AFBsize:169084, largePrimes:4511450 encountered Relations: rels:4703975, finalFF:560178 Max relations in full relation-set: 32 Initial matrix: 338670 x 560178 with sparse part having weight 43990815. Pruned matrix : 196015 x 197772 with weight 20038421. Total sieving time: 12.47 hours. Total relation processing time: 0.24 hours. Matrix solve time: 0.82 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 13.81 hours. --------- CPU info (if available) ----------
Mar 22, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
3·10¹⁵⁰+1 = 3(0)₁₄₉1_<151> = C151
C151 = P61 · P90
P61 = 3757884014173930271262822327673582373969961097805606684684809_<61>
P90 = 798321605638876885936868160206937968803884648888029502380986396890251623546215931267628089_<90>

Number: 30001_150 N=3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 ( 151 digits) SNFS difficulty: 150 digits. Divisors found: r1=3757884014173930271262822327673582373969961097805606684684809 (pp61) r2=798321605638876885936868160206937968803884648888029502380986396890251623546215931267628089 (pp90) Version: GGNFS-0.77.1-20050930-k8 Total time: 16.21 hours. Scaled time: 14.65 units (timescale=0.904). Factorization parameters were as follows: n: 3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 m: 1000000000000000000000000000000 c5: 3 c0: 1 skew: 1 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [900000, 1800001) Primes: RFBsize:135072, AFBsize:134928, largePrimes:2726191 encountered Relations: rels:2710347, finalFF:316135 Max relations in full relation-set: 28 Initial matrix: 270065 x 316135 with sparse part having weight 18817652. Pruned matrix : 250350 x 251764 with weight 12558643. Total sieving time: 15.84 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.29 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000 total time: 16.21 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335812) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.10 BogoMIPS).
3·10¹⁴²+1 = 3(0)₁₄₁1_<143> = 97 · 203543020951_<12> · C130
C130 = P47 · P83
P47 = 33690430121780543888212711166213824692220327981_<47>
P83 = 45101059976427355505564135250839549784926008407968873075769527543445669278405405443_<83>

Number: 30001_142 N=1519474109554059084609548420833139409946353621611335173749042270509374517238216006850359020183147921673643448703289388436742600583 ( 130 digits) SNFS difficulty: 142 digits. Divisors found: r1=33690430121780543888212711166213824692220327981 (pp47) r2=45101059976427355505564135250839549784926008407968873075769527543445669278405405443 (pp83) Version: GGNFS-0.77.1-20050930-k8 Total time: 9.87 hours. Scaled time: 8.98 units (timescale=0.909). Factorization parameters were as follows: n: 1519474109554059084609548420833139409946353621611335173749042270509374517238216006850359020183147921673643448703289388436742600583 m: 10000000000000000000000000000 c5: 300 c0: 1 skew: 1 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, 1300001) Primes: RFBsize:114155, AFBsize:114347, largePrimes:2642238 encountered Relations: rels:2618585, finalFF:286160 Max relations in full relation-set: 28 Initial matrix: 228568 x 286160 with sparse part having weight 18940398. Pruned matrix : 202223 x 203429 with weight 10814074. Total sieving time: 9.64 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.17 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 9.87 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335812) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.10 BogoMIPS).
Mar 21, 2007 (6th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
3·10¹³⁵+1 = 3(0)₁₃₄1_<136> = 523 · 13477 · 1075774213_<10> · 5752978421_<10> · C110
C110 = P36 · P75
P36 = 147095946235219350911667697013541493_<36>
P75 = 467532449005166182402814318007788918674002841796260849988478421239468688979_<75>

Number: 30001_135 N=68772127982084357672888092300112850412086888448042124154539344177097592160142571052867879456959527938528305647 ( 110 digits) SNFS difficulty: 135 digits. Divisors found: r1=147095946235219350911667697013541493 (pp36) r2=467532449005166182402814318007788918674002841796260849988478421239468688979 (pp75) Version: GGNFS-0.77.1-20050930-k8 Total time: 4.34 hours. Scaled time: 3.93 units (timescale=0.907). Factorization parameters were as follows: n: 68772127982084357672888092300112850412086888448042124154539344177097592160142571052867879456959527938528305647 m: 1000000000000000000000000000 c5: 3 c0: 1 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [650000, 1300001) Primes: RFBsize:100021, AFBsize:99933, largePrimes:1571319 encountered Relations: rels:1618924, finalFF:241524 Max relations in full relation-set: 28 Initial matrix: 200019 x 241524 with sparse part having weight 8834742. Pruned matrix : 176061 x 177125 with weight 5550943. Total sieving time: 4.21 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.08 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000 total time: 4.34 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335812) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.10 BogoMIPS).
Mar 21, 2007 (5th): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(67·10¹⁵⁴+23)/9 = 7(4)₁₅₃7_<155> = 233168882957420675233_<21> · C135
C135 = P41 · P43 · P53
P41 = 11379813213676719854455664457933030998149_<41>
P43 = 1587248342657233076523061352021858322701023_<43>
P53 = 17675906074957204594524237615101714309571956136443117_<53>

Number: trial N=319272638356460530808654765903576271179526029216138353262035954538553273441603920608246228075825386906312739402331673810547706147712959 ( 135 digits) SNFS difficulty: 156 digits. Divisors found: r1=11379813213676719854455664457933030998149 (pp41) r2=1587248342657233076523061352021858322701023 (pp43) r3=17675906074957204594524237615101714309571956136443117 (pp53) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 71.79 hours. Scaled time: 36.11 units (timescale=0.503). Factorization parameters were as follows: n: 319272638356460530808654765903576271179526029216138353262035954538553273441603920608246228075825386906312739402331673810547706147712959 m: 10000000000000000000000000000000 c5: 67 c0: 230 skew: 1.28 type: snfsFactor 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, 1 ) Primes: RFBsize:216816, AFBsize:216516, largePrimes:5701357 encountered Relations: rels:5685937, finalFF:503412 Max relations in full relation-set: 0 Initial matrix: 433397 x 503412 with sparse part having weight 33046809. Pruned matrix : 393045 x 395275 with weight 24591541. Total sieving time: 63.79 hours. Total relation processing time: 0.59 hours. Matrix solve time: 7.10 hours. Time per square root: 0.32 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: 71.79 hours. --------- CPU info (if available) ----------
Mar 21, 2007 (4th): By suberi / GMP-ECM 6.1.2 B1=1500000
(5·10¹⁷⁰+1)/3 = 1(6)₁₆₉7_<171> = 7487 · 169321 · 3120931921_<10> · 2094038676000833609_<19> · C134
C134 = P34 · P100
P34 = 6330148428935272130730269808330421_<34>
P100 = 3177951057107386168338512979344112428416946032503776796031417480994030657221820623388204144977247009_<100>
Mar 21, 2007 (3rd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(5·10¹⁵¹+1)/3 = 1(6)₁₅₀7_<152> = 19 · 9241 · 131331427 · C138
C138 = P37 · P39 · P63
P37 = 1738813535312938111598190623296264579_<37>
P39 = 559577859531754734428273075732784737987_<39>
P63 = 742837774773700873641647036143752794028585520948746579669338563_<63>

Number: n N=722782310870289627746169413515506430457992195423434849290341876222067869070125129260611987346780261939106059985584469415989129554547446299 ( 138 digits) SNFS difficulty: 151 digits. Divisors found: r1=1738813535312938111598190623296264579 (pp37) r2=559577859531754734428273075732784737987 (pp39) r3=742837774773700873641647036143752794028585520948746579669338563 (pp63) Version: GGNFS-0.77.1-20051202-athlon Total time: 22.24 hours. Scaled time: 26.69 units (timescale=1.200). Factorization parameters were as follows: name: KA_1_6_150_7 n: 722782310870289627746169413515506430457992195423434849290341876222067869070125129260611987346780261939106059985584469415989129554547446299 type: snfs skew: 1 deg: 5 c5: 50 c0: 1 m: 1000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [1600000, 1600000) Primes: RFBsize:230209, AFBsize:230262, largePrimes:7152336 encountered Relations: rels:6642883, finalFF:526015 Max relations in full relation-set: 28 Initial matrix: 460536 x 526015 with sparse part having weight 34370220. Pruned matrix : 407274 x 409640 with weight 22436194. Total sieving time: 17.08 hours. Total relation processing time: 0.17 hours. Matrix solve time: 4.77 hours. Total square root time: 0.22 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 22.24 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 21, 2007 (2nd): By Shaopu Lin / GGNFS-0.77.1-20060722-pentium4
(5·10¹⁷²+1)/3 = 1(6)₁₇₁7_<173> = 7 · 23 · 787 · 3592897283321_<13> · 13409369737723_<14> · 720221664378281653603080022761581_<33> · C109
C109 = P35 · P75
P35 = 11187158312418767561564578896159263_<35>
P75 = 338851185355906112703584873042435753235342294622312755124422330024404931569_<75>

Number: 5.172.+1 N=3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647 ( 109 digits) Divisors found: r1=11187158312418767561564578896159263 (pp35) r2=338851185355906112703584873042435753235342294622312755124422330024404931569 (pp75) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 25.37 hours. Scaled time: 32.65 units (timescale=1.287). Factorization parameters were as follows: name: 5.172.+1 n: 3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647 skew: 32948.05 # norm 1.51e+15 c5: 17220 c4: 14458390 c3: -103341475597152 c2: 281584288696052283 c1: 39073308390551941890838 c0: -86019664049948734884907152 # alpha -6.16 Y1: 177045558749 Y0: -738820796836376918465 # Murphy_E 1.15e-09 # M 2907907167967925298903030487242863143011263020191204105775196844047268453970546110481020997988859280422515842 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2900001) Primes: RFBsize:230209, AFBsize:229950, largePrimes:7404566 encountered Relations: rels:7327936, finalFF:671556 Max relations in full relation-set: 32 Initial matrix: 460245 x 671556 with sparse part having weight 56363648. Pruned matrix : 300813 x 303178 with weight 28748107. Total sieving time: 21.88 hours. Total relation processing time: 0.47 hours. Matrix solve time: 2.60 hours. Time per square root: 0.42 hours. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 25.37 hours. --------- CPU info (if available) ----------
Mar 21, 2007: The factor table of 300...001 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 20, 2007 (4th): By Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, GMP-ECM 6.1 B1=11000000
10¹⁷³+3 = 1(0)₁₇₂3_<174> = 8753 · 14107 · 2625274331_<10> · C156
C156 = P34 · P122
P34 = 4654165597283817538340682232414823_<34>
P122 = 66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661_<122>
(5·10¹⁹⁷+1)/3 = 1(6)₁₉₆7_<198> = 43 · 1108021631163049657_<19> · C178
C178 = P31 · C147
P31 = 3724929267509920843996372775497_<31>
C147 = [939104723049981509289811750930030691770734096377436694089298811115147192934297884941625038686793082121971137561628863866898691665347893823937479361_<147>]
Mar 20, 2007 (3rd): By Kenichiro Yamaguchi / GGNFS-0.77.1
(5·10¹⁴³+1)/3 = 1(6)₁₄₂7_<144> = 390953 · C138
C138 = P31 · P45 · P63
P31 = 6125134479493857489788596359529_<31>
P45 = 124754495274432898134178118407138197155338843_<45>
P63 = 557894869819739178785330732398794202349486582304975230797045537_<63>

Number: 16667.143 N=426308703774281477995223637282912950320541514367882243304608652873022247346015164653210658740735246095225427779468802302749094307158831539 ( 138 digits) SNFS difficulty: 144 digits. Divisors found: r1=6125134479493857489788596359529 (pp31) r2=124754495274432898134178118407138197155338843 (pp45) r3=557894869819739178785330732398794202349486582304975230797045537 (pp63) Version: GGNFS-0.77.1 Total time: 27.46 hours. Scaled time: 32.98 units (timescale=1.201). Factorization parameters were as follows: name: 16667_143 n: 426308703774281477995223637282912950320541514367882243304608652873022247346015164653210658740735246095225427779468802302749094307158831539 m: 1000000000000000000000000 c6: 1 c0: 2 type: snfs skew: 1 qintsize: 200000 Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [650000, 3850001) Relations: rels:3273771, finalFF:255803 Initial matrix: 199682 x 255803 with sparse part having weight 32662078. Pruned matrix : 193403 x 194465 with weight 20914869. Total sieving time: 26.78 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.41 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 27.46 hours. --------- CPU info (if available) ----------
The factor table of 166...667 was completed up to n=150.
Mar 20, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(5·10¹⁴⁷+1)/3 = 1(6)₁₄₆7_<148> = 131 · 1571 · 128991859 · 10296803609_<11> · C124
C124 = P36 · P89
P36 = 327551454911584926725646090308651051_<36>
P89 = 18614741295214149817808628598816185490713815805914154383801682093489728139240162417517307_<89>

Number: n N=6097285594050155593811700550087359412458342325601225900151084559740331348920054275523792364740957682431413803457047616239657 ( 124 digits) SNFS difficulty: 147 digits. Divisors found: r1=327551454911584926725646090308651051 (pp36) r2=18614741295214149817808628598816185490713815805914154383801682093489728139240162417517307 (pp89) Version: GGNFS-0.77.1-20051202-athlon Total time: 16.83 hours. Scaled time: 19.86 units (timescale=1.180). Factorization parameters were as follows: name: KA_1_6_146_7 n: 6097285594050155593811700550087359412458342325601225900151084559740331348920054275523792364740957682431413803457047616239657 type: snfs skew: 1 deg: 5 c5: 500 c0: 1 m: 100000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [1600000, 1600000) Primes: RFBsize:230209, AFBsize:229657, largePrimes:7379076 encountered Relations: rels:6932372, finalFF:607364 Max relations in full relation-set: 28 Initial matrix: 459932 x 607364 with sparse part having weight 37170701. Pruned matrix : 343861 x 346224 with weight 21575208. Total sieving time: 12.31 hours. Total relation processing time: 0.20 hours. Matrix solve time: 3.86 hours. Total square root time: 0.47 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 16.83 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 20, 2007: By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(5·10¹⁷⁸+1)/3 = 1(6)₁₇₇7_<179> = 7 · 227 · 11827 · 533310941 · 28380115229_<11> · C152
C152 = P31 · P122
P31 = 3220880018492646919471597460249_<31>
P122 = 18192025687327268232347237399252291090017208324941923677752372262674478864504639217167680287671601149803384330379323729349_<122>
(5·10¹⁸¹+1)/3 = 1(6)₁₈₀7_<182> = 1127133396136907_<16> · 18168259852882193_<17> · 72958897769204360339_<20> · C131
C131 = P41 · P90
P41 = 18041178939320340671069908987346459308697_<41>
P90 = 618325163147533482267971198200954906059845807104977100519107654516931740581366986358909699_<90>
Mar 19, 2007 (4th): By Wataru Sakai / GMP-ECM 6.1.1 B1=11000000
10¹⁷⁰+3 = 1(0)₁₆₉3_<171> = 1447 · 101377 · 5131069 · 10740883 · 91413901 · 1019392014671857_<16> · C126
C126 = P36 · P90
P36 = 979614353591462245935054061765020517_<36>
P90 = 135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299_<90>
Mar 19, 2007 (3rd): By suberi / GMP-ECM 6.1.2 B1=1500000, B1=1000000
(5·10¹⁵⁹+1)/3 = 1(6)₁₅₈7_<160> = 39161 · 286393 · 208426562849_<12> · 113625146795456899764043_<24> · C115
C115 = P34 · P82
P34 = 1779063191475882495566028532059457_<34>
P82 = 3527066754417390898547821450334261762905883906849574519258881288012421214812083921_<82>
(5·10¹⁷²+1)/3 = 1(6)₁₇₁7_<173> = 7 · 23 · 787 · 3592897283321_<13> · 13409369737723_<14> · C142
C142 = P33 · C109
P33 = 720221664378281653603080022761581_<33>
C109 = [3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647_<109>]
(16·10²³⁵-61)/9 = 1(7)₂₃₄1_<236> = 11 · 29 · 37037719357719760261079_<23> · 713567298076051856522358950335091_<33> · C178
C178 = P30 · C148
P30 = 386429589610739568586536276533_<30>
C148 = [5456790006598550442100281169561982842187688146957656961433830490109471823566646007637536015206945208419922672451393758392495497829432520817568779357_<148>]
Mar 19, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(5·10¹³⁸+1)/3 = 1(6)₁₃₇7_<139> = 367 · 292141 · 6732116563_<10> · C121
C121 = P52 · P69
P52 = 5548241825186025128783144564510863551756594191888167_<52>
P69 = 416181877384096850179759514496060513542552738308357607455754502385541_<69>

Number: n N=2309077698986888021355688003609105465986085718091745417948908205191294380281367690505515257298840643484242072112589793347 ( 121 digits) SNFS difficulty: 140 digits. Divisors found: r1=5548241825186025128783144564510863551756594191888167 (pp52) r2=416181877384096850179759514496060513542552738308357607455754502385541 (pp69) Version: GGNFS-0.77.1-20051202-athlon Total time: 8.99 hours. Scaled time: 10.78 units (timescale=1.199). Factorization parameters were as follows: name: KA_1_6_137_7 n: 2309077698986888021355688003609105465986085718091745417948908205191294380281367690505515257298840643484242072112589793347 type: snfs skew: 1 deg: 5 c5: 1 c0: 20 m: 10000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 2200001) Primes: RFBsize:230209, AFBsize:229762, largePrimes:7160178 encountered Relations: rels:6743778, finalFF:629465 Max relations in full relation-set: 28 Initial matrix: 460035 x 629465 with sparse part having weight 33199001. Pruned matrix : 307762 x 310126 with weight 14695744. Total sieving time: 6.80 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.95 hours. Total square root time: 0.08 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,75000 total time: 8.99 hours. --------- CPU info (if available) ---------- Cygwin on Athlon Xp 2700+
Mar 19, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(5·10¹⁴⁶+1)/3 = 1(6)₁₄₅7_<147> = 109 · 4129 · 50372423 · 53207489069674132147_<20> · C114
C114 = P56 · P58
P56 = 55066090111194564517518085962596060838780437707542837161_<56>
P58 = 2509155181218576475680066474978312365041289615110565064467_<58>

Number: 16667_146 N=138169365311952859564155138398408649511921930828779762166404664699158735354281554235583735296178334497870048258187 ( 114 digits) SNFS difficulty: 146 digits. Divisors found: r1=55066090111194564517518085962596060838780437707542837161 (pp56) r2=2509155181218576475680066474978312365041289615110565064467 (pp58) Version: GGNFS-0.77.1-20050930-k8 Total time: 12.66 hours. Scaled time: 11.49 units (timescale=0.907). Factorization parameters were as follows: n: 138169365311952859564155138398408649511921930828779762166404664699158735354281554235583735296178334497870048258187 m: 100000000000000000000000000000 c5: 50 c0: 1 skew: 1 type: snfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [900000, 1575001) Primes: RFBsize:135072, AFBsize:135393, largePrimes:2813371 encountered Relations: rels:2890053, finalFF:395475 Max relations in full relation-set: 28 Initial matrix: 270530 x 395475 with sparse part having weight 22426642. Pruned matrix : 198270 x 199686 with weight 11742078. Total sieving time: 12.41 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.17 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000 total time: 12.66 hours. --------- CPU info (if available) ----------
Mar 18, 2007 (6th): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(5·10¹⁴⁵+1)/3 = 1(6)₁₄₄7_<146> = 17 · 89 · 95083 · 147933658601_<12> · 545549849591657_<15> · C112
C112 = P46 · P66
P46 = 9821450547370350820743186696589047734433957809_<46>
P66 = 146160450531063005964151508951960723735329958138243051493844149721_<66>

Number: n N=1435507636872205843232453222119746091816963578756254265764847729490824807382928031939507196894054566414393121289 ( 112 digits) SNFS difficulty: 145 digits. Divisors found: r1=9821450547370350820743186696589047734433957809 (pp46) r2=146160450531063005964151508951960723735329958138243051493844149721 (pp66) Version: GGNFS-0.77.1-20051202-athlon Total time: 11.15 hours. Scaled time: 13.33 units (timescale=1.195). Factorization parameters were as follows: name: KA_1_6_144_7 n: 1435507636872205843232453222119746091816963578756254265764847729490824807382928031939507196894054566414393121289 type: snfs skew: 1 deg: 5 c5: 5 c0: 1 m: 100000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 2400001) Primes: RFBsize:230209, AFBsize:229802, largePrimes:6958890 encountered Relations: rels:6414597, finalFF:521730 Max relations in full relation-set: 28 Initial matrix: 460076 x 521730 with sparse part having weight 27949889. Pruned matrix : 404635 x 406999 with weight 17520948. Total sieving time: 7.73 hours. Total relation processing time: 0.16 hours. Matrix solve time: 3.16 hours. Total square root time: 0.10 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 11.15 hours. --------- CPU info (if available) ---------- Cygwin on Athlon XP 2700+
Mar 18, 2007 (5th): By Shaopu Lin / Msieve v. 1.17
(5·10¹⁵⁴+1)/3 = 1(6)₁₅₃7_<155> = 7 · 3301 · 888048827 · 186987050313163_<15> · 400255206926456710904556653969_<30> · C98
C98 = P45 · P53
P45 = 263599823092139043940210571668030772184899849_<45>
P53 = 41169415837319584505469666667843139597894309850912601_<53>

Sun Mar 18 10:36:11 2007 Sun Mar 18 10:36:11 2007 Sun Mar 18 10:36:11 2007 Msieve v. 1.17 Sun Mar 18 10:36:11 2007 random seeds: abffae1c f2f3b328 Sun Mar 18 10:36:11 2007 factoring 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 (98 digits) Sun Mar 18 10:36:11 2007 commencing quadratic sieve (97-digit input) Sun Mar 18 10:36:12 2007 using multiplier of 41 Sun Mar 18 10:36:12 2007 sieve interval: 9 blocks of size 65536 Sun Mar 18 10:36:12 2007 processing polynomials in batches of 6 Sun Mar 18 10:36:12 2007 using a sieve bound of 2435183 (89412 primes) Sun Mar 18 10:36:12 2007 using large prime bound of 365277450 (28 bits) Sun Mar 18 10:36:12 2007 using double large prime bound of 2586551540097000 (43-52 bits) Sun Mar 18 10:36:12 2007 using trial factoring cutoff of 57 bits Sun Mar 18 10:36:12 2007 polynomial 'A' values have 13 factors Sun Mar 18 12:50:27 2007 5404 relations (4490 full + 914 combined from 274893 partial), need 89508 Sun Mar 18 12:50:27 2007 c98 factor: 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 Sun Mar 18 12:50:27 2007 elapsed time 02:14:16 Sun Mar 18 13:08:15 2007 Sun Mar 18 13:08:15 2007 Sun Mar 18 13:08:15 2007 Msieve v. 1.17 Sun Mar 18 13:08:15 2007 random seeds: fdcc0646 c4cb6867 Sun Mar 18 13:08:15 2007 factoring 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 (98 digits) Sun Mar 18 13:08:15 2007 commencing quadratic sieve (97-digit input) Sun Mar 18 13:08:15 2007 using multiplier of 41 Sun Mar 18 13:08:15 2007 sieve interval: 9 blocks of size 65536 Sun Mar 18 13:08:15 2007 processing polynomials in batches of 6 Sun Mar 18 13:08:15 2007 using a sieve bound of 2435183 (89412 primes) Sun Mar 18 13:08:15 2007 using large prime bound of 365277450 (28 bits) Sun Mar 18 13:08:15 2007 using double large prime bound of 2586551540097000 (43-52 bits) Sun Mar 18 13:08:15 2007 using trial factoring cutoff of 57 bits Sun Mar 18 13:08:15 2007 polynomial 'A' values have 13 factors Sun Mar 18 13:08:17 2007 restarting with 4490 full and 274893 partial relations Sun Mar 18 18:26:23 2007 36017 relations (14885 full + 21132 combined from 912309 partial), need 89508 Sun Mar 18 18:26:23 2007 c98 factor: 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 Sun Mar 18 18:26:23 2007 elapsed time 05:18:08 Sun Mar 18 18:29:05 2007 Sun Mar 18 18:29:05 2007 Sun Mar 18 18:29:05 2007 Msieve v. 1.17 Sun Mar 18 18:29:05 2007 random seeds: 3dc363ff e8b00b47 Sun Mar 18 18:29:05 2007 factoring 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 (98 digits) Sun Mar 18 18:29:05 2007 commencing quadratic sieve (97-digit input) Sun Mar 18 18:29:06 2007 using multiplier of 41 Sun Mar 18 18:29:06 2007 sieve interval: 9 blocks of size 65536 Sun Mar 18 18:29:06 2007 processing polynomials in batches of 6 Sun Mar 18 18:29:06 2007 using a sieve bound of 2435183 (89412 primes) Sun Mar 18 18:29:06 2007 using large prime bound of 365277450 (28 bits) Sun Mar 18 18:29:06 2007 using double large prime bound of 2586551540097000 (43-52 bits) Sun Mar 18 18:29:06 2007 using trial factoring cutoff of 57 bits Sun Mar 18 18:29:06 2007 polynomial 'A' values have 13 factors Sun Mar 18 18:29:07 2007 restarting with 14885 full and 912309 partial relations Sun Mar 18 21:53:48 2007 89522 relations (21678 full + 67844 combined from 1325295 partial), need 89508 Sun Mar 18 21:53:49 2007 begin with 1346973 relations Sun Mar 18 21:53:52 2007 reduce to 233154 relations in 11 passes Sun Mar 18 21:53:52 2007 attempting to read 233154 relations Sun Mar 18 21:53:56 2007 recovered 233154 relations Sun Mar 18 21:53:56 2007 recovered 221559 polynomials Sun Mar 18 21:53:56 2007 attempting to build 89522 cycles Sun Mar 18 21:53:57 2007 found 89522 cycles in 6 passes Sun Mar 18 21:53:57 2007 distribution of cycle lengths: Sun Mar 18 21:53:57 2007 length 1 : 21678 Sun Mar 18 21:53:57 2007 length 2 : 15736 Sun Mar 18 21:53:57 2007 length 3 : 15185 Sun Mar 18 21:53:57 2007 length 4 : 12099 Sun Mar 18 21:53:57 2007 length 5 : 9330 Sun Mar 18 21:53:57 2007 length 6 : 6140 Sun Mar 18 21:53:57 2007 length 7 : 3886 Sun Mar 18 21:53:57 2007 length 9+: 5468 Sun Mar 18 21:53:57 2007 largest cycle: 20 relations Sun Mar 18 21:53:57 2007 matrix is 89412 x 89522 with weight 5818568 (avg 65.00/col) Sun Mar 18 21:53:58 2007 filtering completed in 3 passes Sun Mar 18 21:53:58 2007 matrix is 87956 x 88020 with weight 5671841 (avg 64.44/col) Sun Mar 18 21:54:00 2007 saving the first 48 matrix rows for later Sun Mar 18 21:54:00 2007 matrix is 87908 x 88020 with weight 4314822 (avg 49.02/col) Sun Mar 18 21:54:00 2007 matrix includes 32 packed rows Sun Mar 18 21:58:43 2007 lanczos halted after 1392 iterations Sun Mar 18 21:58:44 2007 recovered 13 nontrivial dependencies Sun Mar 18 21:58:47 2007 prp45 factor: 263599823092139043940210571668030772184899849 Sun Mar 18 21:58:47 2007 prp53 factor: 41169415837319584505469666667843139597894309850912601 Sun Mar 18 21:58:47 2007 elapsed time 03:29:42
Mar 18, 2007 (4th): By suberi / GMP-ECM 6.1.2 B1=1000000
(16·10²¹⁴-61)/9 = 1(7)₂₁₃1_<215> = 13 · 863 · 18661 · 369819256019_<12> · 584833068852155422531_<21> · C174
C174 = P34 · C140
P34 = 4516565897012282883697690057920883_<34>
C140 = [86927786155318407263273710266523202940690097929584601977940218641236715258445415008714444666356629075405450626239173034367866144188409959887_<140>]
(10¹⁸⁵+53)/9 = (1)₁₈₄7_<185> = 8527 · C181
C181 = P29 · C152
P29 = 29587001068429855351442206649_<29>
C152 = [44041315240731342627152033825315210424898830618066156602341326236451254516042808567074969782491829929498528258973637320140692358628653317197742809301179_<152>]
Mar 18, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(5·10¹³¹+1)/3 = 1(6)₁₃₀7_<132> = 295411 · 545641 · 21429691 · C113
C113 = P38 · P75
P38 = 71278904279841751639280680665781860691_<38>
P75 = 676921279683403714414286009774964550351851826502560543637491151314943810657_<75>

Number: 16667_131 N=48250207099541320381486426234048916572401910715200651510201078518073780540340990694316873955109328373331455183987 ( 113 digits) SNFS difficulty: 131 digits. Divisors found: r1=71278904279841751639280680665781860691 (pp38) r2=676921279683403714414286009774964550351851826502560543637491151314943810657 (pp75) Version: GGNFS-0.77.1-20050930-k8 Total time: 2.80 hours. Scaled time: 2.54 units (timescale=0.907). Factorization parameters were as follows: n: 48250207099541320381486426234048916572401910715200651510201078518073780540340990694316873955109328373331455183987 m: 100000000000000000000000000 c5: 50 c0: 1 skew: 1 type: snfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [500000, 950001) Primes: RFBsize:78498, AFBsize:78411, largePrimes:1554495 encountered Relations: rels:1599498, finalFF:217269 Max relations in full relation-set: 28 Initial matrix: 156974 x 217269 with sparse part having weight 10967430. Pruned matrix : 130993 x 131841 with weight 5274102. Total sieving time: 2.71 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 2.80 hours. --------- CPU info (if available) ----------
Mar 18, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
8·10¹⁵⁵-1 = 7(9)₁₅₅_<156> = 24391 · 918839 · 3132989706569_<13> · C134
C134 = P44 · P90
P44 = 25299121414677623214283953730819328916466561_<44>
P90 = 450356622042797048454591109679905092704867767939346295702116218557105008704105348263325639_<90>

Number: n N=11393626860964803334816245374068666021838036458519996173075889805142698696785738778530768098113617739706030753107072643747962797457479 ( 134 digits) SNFS difficulty: 155 digits. Divisors found: r1=25299121414677623214283953730819328916466561 (pp44) r2=450356622042797048454591109679905092704867767939346295702116218557105008704105348263325639 (pp90) Version: GGNFS-0.77.1-20051202-athlon Total time: 30.40 hours. Scaled time: 36.30 units (timescale=1.194). Factorization parameters were as follows: name: KA_7_9_155 n: 11393626860964803334816245374068666021838036458519996173075889805142698696785738778530768098113617739706030753107072643747962797457479 type: snfs skew: 1 deg: 5 c5: 8 c0: -1 m: 10000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 2600001) Primes: RFBsize:230209, AFBsize:230077, largePrimes:7417752 encountered Relations: rels:6972041, finalFF:576947 Max relations in full relation-set: 28 Initial matrix: 460351 x 576947 with sparse part having weight 41539673. Pruned matrix : 373294 x 375659 with weight 25838093. Total sieving time: 25.61 hours. Total relation processing time: 0.19 hours. Matrix solve time: 4.49 hours. Total square root time: 0.11 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 30.40 hours. --------- CPU info (if available) ----------
Mar 18, 2007: The factor table of 166...667 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 17, 2007 (2nd): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
3·10¹⁵⁴-1 = 2(9)₁₅₄_<155> = 169973521 · 3541566709633_<13> · C134
C134 = P44 · P90
P44 = 62282513633822346544465252554897044469175211_<44>
P90 = 800162926125406274759982565017119197917086497848155175255046781462749015168218472947165613_<90>

Number: trial N=49836158355684799392710790914879561735438604550081498928621816209020362192917352507673034351473382284833557383946745371232190331219343 ( 134 digits) SNFS difficulty: 155 digits. Divisors found: r1=62282513633822346544465252554897044469175211 (pp44) r2=800162926125406274759982565017119197917086497848155175255046781462749015168218472947165613 (pp90) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 63.81 hours. Scaled time: 33.88 units (timescale=0.531). Factorization parameters were as follows: n: 49836158355684799392710790914879561735438604550081498928621816209020362192917352507673034351473382284833557383946745371232190331219343 m: 10000000000000000000000000000000 c5: 3 c0: -10 skew: 1.27 type: snfsFactor 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, 2700001) Primes: RFBsize:216816, AFBsize:216741, largePrimes:5681901 encountered Relations: rels:5682246, finalFF:509993 Max relations in full relation-set: 0 Initial matrix: 433622 x 509993 with sparse part having weight 32711006. Pruned matrix : 380977 x 383209 with weight 23958820. Total sieving time: 51.96 hours. Total relation processing time: 0.48 hours. Matrix solve time: 11.09 hours. Time per square root: 0.29 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: 63.81 hours. --------- CPU info (if available) ----------
Mar 17, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(2·10¹⁶⁸-17)/3 = (6)₁₆₇1_<168> = C168
C168 = P54 · P115
P54 = 386717692502497012381472407394111919698336364510087247_<54>
P115 = 1723910438006045045271405706885467846235237280071891245137997281599442943976319787475472022679721558948263592668363_<115>

Number: 66661_168 N=666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 ( 168 digits) SNFS difficulty: 168 digits. Divisors found: r1=386717692502497012381472407394111919698336364510087247 (pp54) r2=1723910438006045045271405706885467846235237280071891245137997281599442943976319787475472022679721558948263592668363 (pp115) Version: GGNFS-0.77.1-20050930-k8 Total time: 129.30 hours. Scaled time: 117.14 units (timescale=0.906). Factorization parameters were as follows: n: 666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661 m: 2000000000000000000000000000000000 c5: 125 c0: -34 skew: 1 type: snfs Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3600000, 8200001) Primes: RFBsize:489319, AFBsize:489193, largePrimes:6257089 encountered Relations: rels:6681474, finalFF:1112392 Max relations in full relation-set: 28 Initial matrix: 978577 x 1112392 with sparse part having weight 52925354. Pruned matrix : 861071 x 866027 with weight 38066993. Total sieving time: 123.69 hours. Total relation processing time: 0.15 hours. Matrix solve time: 5.37 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,48,48,2.6,2.6,100000 total time: 129.30 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335817) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239) Total of 2 processors activated (9340.11 BogoMIPS).
Mar 16, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
3·10¹⁵⁵-1 = 2(9)₁₅₅_<156> = 7² · 844643 · 159010443754010418818537_<24> · C125
C125 = P43 · P82
P43 = 5423853441107577188852485479594908047413233_<43>
P82 = 8404625993321570476494919510450078586561494231252473102406403901939727050282602317_<82>

Number: n N=45585459615099389086179041758110407185275001961176861368273277748048769706955256547000294966297413952381207813653575502260861 ( 125 digits) SNFS difficulty: 155 digits. Divisors found: r1=5423853441107577188852485479594908047413233 (pp43) r2=8404625993321570476494919510450078586561494231252473102406403901939727050282602317 (pp82) Version: GGNFS-0.77.1-20051202-athlon Total time: 27.74 hours. Scaled time: 32.59 units (timescale=1.175). Factorization parameters were as follows: name: KA_2_9_155 n: 45585459615099389086179041758110407185275001961176861368273277748048769706955256547000294966297413952381207813653575502260861 type: snfs skew: 1 deg: 5 c5: 3 c0: -1 m: 10000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 2500001) Primes: RFBsize:230209, AFBsize:230192, largePrimes:7224662 encountered Relations: rels:6717869, finalFF:525864 Max relations in full relation-set: 28 Initial matrix: 460466 x 525864 with sparse part having weight 36596595. Pruned matrix : 410679 x 413045 with weight 24697501. Total sieving time: 22.73 hours. Total relation processing time: 0.18 hours. Matrix solve time: 4.69 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 27.74 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+
Mar 16, 2007: By suberi / GGNFS-0.77.1-20060513-pentium4, GMP-ECM 6.1.2 B1=1000000
(8·10¹⁵⁴+1)/9 = (8)₁₅₃9_<154> = 3² · 17 · 111479075100979_<15> · C138
C138 = P56 · P83
P56 = 32177707529893710433902536146572371561641868491685058673_<56>
P83 = 16195993354003447450979603450797475454295102425384430441701793883484636403132310539_<83>

Number: 88889_154 N=521149937301225221583231257120702045795537650550148843910205812236172301369042097361478079470627378071760856736045886848228640350271254747 ( 138 digits) SNFS difficulty: 155 digits. Divisors found: r1=32177707529893710433902536146572371561641868491685058673 (pp56) r2=16195993354003447450979603450797475454295102425384430441701793883484636403132310539 (pp83) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 32.41 hours. Scaled time: 20.03 units (timescale=0.618). Factorization parameters were as follows: n: 521149937301225221583231257120702045795537650550148843910205812236172301369042097361478079470627378071760856736045886848228640350271254747 m: 10000000000000000000000000000000 c5: 4 c0: 5 skew: 1.05 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, 2400001) Primes: RFBsize:216816, AFBsize:216926, largePrimes:5533675 encountered Relations: rels:5520996, finalFF:582833 Max relations in full relation-set: 28 Initial matrix: 433806 x 582833 with sparse part having weight 41783728. Pruned matrix : 323178 x 325411 with weight 25316982. Total sieving time: 26.72 hours. Total relation processing time: 0.35 hours. Matrix solve time: 5.18 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: 32.41 hours. --------- CPU info (if available) ----------
(7·10¹⁸⁸+11)/9 = (7)₁₈₇9_<188> = 17 · 41 · 337511 · 321348211 · 16826529918033630069673_<23> · C149
C149 = P36 P36 = 335115240990780875742167474614245799_<36>
P114 = 182461059486518113964270665145747212245055354341456620345081920388280026228471754639932704349932407082619966553521_<114>
(7·10¹⁵⁶+11)/9 = (7)₁₅₅9_<156> = 17 · 22067 · 40360471134589043064933745786051_<32> · C119
C119 = P30 · P90
P30 = 180456851647834561315931550073_<30>
P90 = 284664762455700346404377228916434989848075119780853356972582547306819635356646779045237907_<90>
Mar 15, 2007 (2nd): By suberi / GMP-ECM 6.1.2 B1=1000000, GGNFS-0.77.1-20060722-pentium4
(7·10¹⁹⁰+11)/9 = (7)₁₈₉9_<190> = 3² · 187603427717_<12> · C178
C178 = P37 · P141
P37 = 6177774173350487484434222587767501487_<37>
P141 = 745658929842245053745336194347900728624922448846406553486583278902680688904222161398693614637129510927532193940569066916225861802470289225489_<141>
(16·10²⁴⁵-61)/9 = 1(7)₂₄₄1_<246> = 3² · 11 · 23 · 661 · 3593 · 10301 · 4840133 · 5764841 · 679164323 · 3629375857_<10> · 334689967902904368763_<21> · C180
C180 = P34 · P146
P34 = 6805943732941698014429478017066561_<34>
P146 = 20370134213368423426672455205813626417541067572894236720844778196943084983955699624795881283538877410006319344463020634482928235221594799195308979_<146>
(68·10¹⁵⁴+13)/9 = 7(5)₁₅₃7_<155> = 47 · 498630726983_<12> · 481480518643109_<15> · C127
C127 = P36 · P41 · P52
P36 = 180048411580101335807564711501968399_<36>
P41 = 12885467681488848348054410283777960509393_<41>
P52 = 2886166011333284120917867347222492944354289914055239_<52>

Number: 75557_154 N=6695928202484655635452379415298947471387647632758248358468768790611612165249036732543960482350604990882306999581263998199946873 ( 127 digits) SNFS difficulty: 156 digits. Divisors found: r1=180048411580101335807564711501968399 (pp36) r2=12885467681488848348054410283777960509393 (pp41) r3=2886166011333284120917867347222492944354289914055239 (pp52) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 35.03 hours. Scaled time: 23.96 units (timescale=0.684). Factorization parameters were as follows: n: 6695928202484655635452379415298947471387647632758248358468768790611612165249036732543960482350604990882306999581263998199946873 m: 10000000000000000000000000000000 c5: 34 c0: 65 skew: 1.14 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, 2700001) Primes: RFBsize:216816, AFBsize:216756, largePrimes:5724145 encountered Relations: rels:5759916, finalFF:625672 Max relations in full relation-set: 32 Initial matrix: 433638 x 625672 with sparse part having weight 52507304. Pruned matrix : 324341 x 326573 with weight 31231916. Total sieving time: 29.41 hours. Total relation processing time: 0.26 hours. Matrix solve time: 5.20 hours. Time per square root: 0.17 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: 35.03 hours. --------- CPU info (if available) ----------
Mar 15, 2007: By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(4·10¹⁵⁴-13)/9 = (4)₁₅₃3_<154> = 3 · 491279 · 233281879 · 2378170747_<10> · C130
C130 = P42 · P88
P42 = 623157291540903823369569922445206459369843_<42>
P88 = 8722607053645853108078000019436196832381880430877361385183603912492573372633755625577521_<88>

Number: n N=5435556186725533001281237955401538909720919357929426277835504923537027699853207670533178790001606769710481300713046036238606099203 ( 130 digits) SNFS difficulty: 155 digits. Divisors found: r1=623157291540903823369569922445206459369843 (pp42) r2=8722607053645853108078000019436196832381880430877361385183603912492573372633755625577521 (pp88) Version: GGNFS-0.77.1-20051202-athlon Total time: 38.86 hours. Scaled time: 46.52 units (timescale=1.197). Factorization parameters were as follows: name: KA_4_153_3 n: 5435556186725533001281237955401538909720919357929426277835504923537027699853207670533178790001606769710481300713046036238606099203 type: snfs skew: 1 deg: 5 c5: 2 c0: -65 m: 10000000000000000000000000000000 rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1600000, 2900001) Primes: RFBsize:230209, AFBsize:229447, largePrimes:7489861 encountered Relations: rels:6997333, finalFF:538310 Max relations in full relation-set: 28 Initial matrix: 459721 x 538310 with sparse part having weight 40517081. Pruned matrix : 409453 x 411815 with weight 28003554. Total sieving time: 33.07 hours. Total relation processing time: 0.20 hours. Matrix solve time: 5.47 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000 total time: 38.86 hours. --------- CPU info (if available) ---------- AMD XP 2700+
Mar 14, 2007 (4th): By NFSNET / SNFS / Mar 7, 2007
10²²⁹+1 = 1(0)₂₂₈1_<230> = 11 · 2317091604522004723965449_<25> · 22122368173743271094350225612207534262957_<41> · C164
C164 = P59 · P106
P59 = 13270807703600518273110858480695033043595534787235597140531_<59>
P106 = 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877_<106>
By Yousuke Koide / GMP-ECM / Mar 9, 2007
(10¹²²¹-1)/9 = (1)₁₂₂₁_<1221> = 3 · 37² · 67 · 21649 · 46399 · 390721 · 513239 · 2028119 · 247629013 · 3306121237_<10> · 37232500009_<11> · 2377517312347_<13> · 171055055020477_<15> · 30557051518647307_<17> · 1344628210313298373_<19> · 2212394296770203368013_<22> · 14922184078787276001107_<23> · 8845981170865629119271997_<25> · 90077814396055017938257237117_<29> · [1399300708003111495578140482186320347277273505089781034200096366442134264784657534390363164267749971684437448447281946338001226312001060024115902223232728865313091486857448782879187621243824754236824516208584519649679801623269793676780347076796179020835671903144327739679125772035571304791326088307189347498475947401_<316>] · C686
C686 = P31 · C655
P31 = 9557310079389075405641287553803_<31>
C655 = [5515824196307780952584504442192890690575562875540825114944734663606474647281575002887478680286288052210526929443365680648852789555336764321822510527238695441418410283165718247242678059529341629517493669953736654452852386489889645013663965799353193599363460281027545061024040407073689527881928488768231400642687569429481473171385035979460579452200774729679752710793572101391827980965952297964933833022089122319372818564966309988014980282039713988319062537834423629632975228839285882370287649636569520965917059633562233758023513111518386548144522612870452249743261736259162946084327556981920462966793150850301959340294903413186803082903485275606383479206757_<655>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Mar 14, 2007 (3rd): By Jo Yeong Uk / GMP-ECM 6.1.1 B1=1000000
(83·10¹⁵⁴+61)/9 = 9(2)₁₅₃9_<155> = 3⁴ · 43 · 2137 · 11165990385401_<14> · C136
C136 = P34 · P103
P34 = 1080410951908217088203068529610239_<34>
P103 = 1027049460661970594903506561912251124101625777138266370978214953652943793348367291441285157423461027041_<103>
Mar 14, 2007 (2nd): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(25·10¹⁵⁴-7)/9 = 2(7)₁₅₄_<155> = 3² · 768787 · 1165904386753975531948451_<25> · C124
C124 = P52 · P73
P52 = 1229703685613870565482097442621203311966911738729487_<52>
P73 = 2800177411079931025313554235270821858708785199889560692524686905876053087_<73>

Number: trial N=3443388482777697502163738810997444139894472237224630200880616654110118907544360097930000698844817572230384236838239544276369 ( 124 digits) SNFS difficulty: 155 digits. Divisors found: r1=1229703685613870565482097442621203311966911738729487 (pp52) r2=2800177411079931025313554235270821858708785199889560692524686905876053087 (pp73) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 63.39 hours. Scaled time: 32.45 units (timescale=0.512). Factorization parameters were as follows: n: 3443388482777697502163738810997444139894472237224630200880616654110118907544360097930000698844817572230384236838239544276369 m: 10000000000000000000000000000000 c5: 5 c0: -14 skew: 1.23 type: snfsFactor 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, 2600001) Primes: RFBsize:216816, AFBsize:217381, largePrimes:5516679 encountered Relations: rels:5409954, finalFF:500848 Max relations in full relation-set: 0 Initial matrix: 434262 x 500848 with sparse part having weight 38610131. Pruned matrix : 391194 x 393429 with weight 26929819. Total sieving time: 48.84 hours. Total relation processing time: 0.47 hours. Matrix solve time: 13.72 hours. Time per square root: 0.35 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: 63.39 hours. --------- CPU info (if available) ----------
Mar 14, 2007: By suberi / GMP-ECM 6.1.2 B1=1000000
(2·10¹⁸¹+1)/3 = (6)₁₈₀7_<181> = 7 · C180
C180 = P32 · P149
P32 = 67255070283668769619862559473201_<32>
P149 = 14160730906443116746495111115047641558481701837678541313334391465479394184166860056522357072852820398128709983357170191950212503099674765380256703181_<149>
(7·10¹⁷⁵+11)/9 = (7)₁₇₄9_<175> = 3 · 506195919767_<12> · 18822712509076627_<17> · C147
C147 = P32 · C116
P32 = 12007442890556404705517171537299_<32>
C116 = [22661199643274826616506037502975050665929602295137054181268069957443993666880701283713935646994058586764830130031423_<116>]
(7·10¹⁵⁶+11)/9 = (7)₁₅₅9_<156> = 17 · 22067 · C151
C151 = P32 · C119
P32 = 40360471134589043064933745786051_<32>
C119 = [51369706807834383019335582860585395422013721864161473338139081911966650927257577175840142699944608709208573947568217211_<119>]
(16·10²⁴⁶-61)/9 = 1(7)₂₄₅1_<247> = 7873 · 73735471 · C235
C235 = P29 · P206
P29 = 50471251208266401221148968621_<29>
P206 = 60675964949918263205609110309720019624586192956489493080965555374327360718253084322742804690412945082154262349245969473440450190732883309700083469169362728986304992360444260458290295833946365316166058187897_<206>
Mar 13, 2007 (2nd): By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(79·10¹⁵³-7)/9 = 8(7)₁₅₃_<154> = 1609 · 194886308091743_<15> · C137
C137 = P53 · P84
P53 = 33189147649745737114986138374689356517744711840673371_<53>
P84 = 843434011803161407008535388292933087394417867330522649337638124595057972951922937301_<84>

Number: n N=27992855950552512708828138574591719985934225428898365721529634560471152640342015896190558043914185790452999492624622285097241644053311671 ( 137 digits) SNFS difficulty: 156 digits. Divisors found: r1=33189147649745737114986138374689356517744711840673371 (pp53) r2=843434011803161407008535388292933087394417867330522649337638124595057972951922937301 (pp84) Version: GGNFS-0.77.1-20051202-athlon Total time: 50.61 hours. Scaled time: 60.58 units (timescale=1.197). Factorization parameters were as follows: name: KA_87_153 n: 27992855950552512708828138574591719985934225428898365721529634560471152640342015896190558043914185790452999492624622285097241644053311671 type: snfs skew: 1 deg: 5 c5: 79 c0: -700 m: 10000000000000000000000000000000 rlim: 3600000 alim: 3600000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [1800000, 3500001) Primes: RFBsize:256726, AFBsize:256641, largePrimes:7837103 encountered Relations: rels:7422443, finalFF:649186 Max relations in full relation-set: 28 Initial matrix: 513434 x 649186 with sparse part having weight 47166009. Pruned matrix : 421054 x 423685 with weight 31807317. Total sieving time: 43.89 hours. Total relation processing time: 0.23 hours. Matrix solve time: 6.34 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000 total time: 50.61 hours. --------- CPU info (if available) ----------
Mar 13, 2007: By Shaopu Lin / GGNFS-0.77.1-20060722-pentium4 gnfs
(2·10¹⁷³+1)/3 = (6)₁₇₂7_<173> = 3229 · 11430617272077882869154127363_<29> · 12285208461573705537910016528766093075163_<41> · C102
C102 = P44 · P58
P44 = 66429507839354412739936008855315386915039609_<44>
P58 = 2213234580595026489302987004215298111708002099947957511663_<58>

Number: 2_173_+1 N=147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767 ( 102 digits) Divisors found: r1=66429507839354412739936008855315386915039609 (pp44) r2=2213234580595026489302987004215298111708002099947957511663 (pp58) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 11.33 hours. Scaled time: 14.45 units (timescale=1.275). Factorization parameters were as follows: name: 2_173_+1 n: 147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767 skew: 8504.53 # norm 7.18e+13 c5: 27720 c4: 928856 c3: 838999784614 c2: 13811724910760072 c1: -145254733038042269233 c0: 586307634080437791242630 # alpha -6.12 Y1: 9676492943 Y0: -22126822396585063233 # Murphy_E 2.89e-09 # M 27762482580871199612752955659640071218869230702763312386995455804620665012658065600234887922006868397 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 1750001) Primes: RFBsize:169511, AFBsize:169435, largePrimes:4472688 encountered Relations: rels:4713994, finalFF:404523 Max relations in full relation-set: 0 Initial matrix: 339029 x 404523 with sparse part having weight 16607813. Pruned matrix : 274559 x 276318 with weight 10059418. Total sieving time: 9.84 hours. Total relation processing time: 0.24 hours. Matrix solve time: 1.03 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 11.33 hours. --------- CPU info (if available) ----------
Mar 12, 2007 (2nd): By suberi / GMP-ECM 6.1.2 B1=1000000
(2·10¹⁸²+1)/3 = (6)₁₈₁7_<182> = 14376697 · C175
C175 = P31 · P145
P31 = 1585124564388882215739248989409_<31>
P145 = 2925406520016824459793686144437048199244743707159174486289472705344922902509467003357759004945188155785099130434982841704107321288453540961497379_<145>
(2·10¹⁷³+1)/3 = (6)₁₇₂7_<173> = 3229 · 12285208461573705537910016528766093075163_<41> · C130
C130 = P29 · C102
P29 = 11430617272077882869154127363_<29>
C102 = [147024083921967587987395231596813878970053978418196045340299325824837867451060084011196308738724459767_<102>]
(7·10¹⁹³+11)/9 = (7)₁₉₂9_<193> = 3 · 41 · 1645791483541_<13> · C179
C179 = P31 · C148
P31 = 6062012711580861138593484137483_<31>
C148 = [6338095311422806628041681278497479626715196088761396462118763294477096960206884824639260108850297771297395071653505161859348368210705651421925743791_<148>]
Mar 12, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 gnfs
(82·10¹⁵³-1)/9 = 9(1)₁₅₃_<154> = 3⁴ · 688622185393_<12> · 1797980043765438104625447953831_<31> · C110
C110 = P46 · P65
P46 = 5439400968192000070068961568453812223828872829_<46>
P65 = 16702034347162201771602568558900760327009737339991475475328660533_<65>

Number: 91111_153 N=90849061798730120134415671857022727048215492925996768275275430895716965482161611441749945949212881419768357857 ( 110 digits) Divisors found: r1=5439400968192000070068961568453812223828872829 (pp46) r2=16702034347162201771602568558900760327009737339991475475328660533 (pp65) Version: GGNFS-0.77.1-20050930-k8 Total time: 19.93 hours. Scaled time: 18.12 units (timescale=0.909). Factorization parameters were as follows: name: 91111_153 n: 90849061798730120134415671857022727048215492925996768275275430895716965482161611441749945949212881419768357857 skew: 18321.44 # norm 7.82e+14 c5: 74040 c4: -141551270 c3: -75674640805143 c2: 234083487897747316 c1: 11789311970640685195440 c0: 30586280943535814825544832 # alpha -5.50 Y1: 590458278671 Y0: -1041767732293455366015 # Murphy_E 1.00e-09 # M 28565350679692008008041514640150531919897960650683454797846857629211816849063124324921802901586270592034102610 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, 2040001) Primes: RFBsize:176302, AFBsize:175819, largePrimes:7573923 encountered Relations: rels:7368554, finalFF:446585 Max relations in full relation-set: 28 Initial matrix: 352201 x 446585 with sparse part having weight 44352998. Pruned matrix : 290898 x 292723 with weight 27846011. Total sieving time: 18.94 hours. Total relation processing time: 0.16 hours. Matrix solve time: 0.72 hours. Time per square root: 0.12 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: 19.93 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335814) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 11, 2007 (3rd): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(23·10¹⁵³+1)/3 = 7(6)₁₅₂7_<154> = 11 · 41 · 36217 · C147
C147 = P65 · P82
P65 = 66701654924490943009481067725328090047586712513646273561735978657_<65>
P82 = 7036893156669408344386011389295761191203948118542807066538803903115219196386336993_<82>

Number: 76667_153 N=469372419076674658038213894276638022500530135739850622431703813106024841923022066156573129110618242861085293927437187205373146889629177626257558401 ( 147 digits) SNFS difficulty: 155 digits. Divisors found: r1=66701654924490943009481067725328090047586712513646273561735978657 (pp65) r2=7036893156669408344386011389295761191203948118542807066538803903115219196386336993 (pp82) Version: GGNFS-0.77.1-20050930-k8 Total time: 21.84 hours. Scaled time: 18.68 units (timescale=0.855). Factorization parameters were as follows: n: 469372419076674658038213894276638022500530135739850622431703813106024841923022066156573129110618242861085293927437187205373146889629177626257558401 m: 5000000000000000000000000000000 c5: 184 c0: 25 skew: 1 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, 2500001) Primes: RFBsize:216816, AFBsize:217116, largePrimes:5508950 encountered Relations: rels:5404912, finalFF:505602 Max relations in full relation-set: 28 Initial matrix: 433999 x 505602 with sparse part having weight 37622010. Pruned matrix : 382479 x 384712 with weight 25700698. Total sieving time: 20.53 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.17 hours. Time per square root: 0.05 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: 21.84 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335814) Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234) Total of 2 processors activated (9340.09 BogoMIPS).
Mar 11, 2007 (2nd): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(35·10¹⁵³-53)/9 = 3(8)₁₅₂3_<154> = 11 · 5119 · 29729852380307_<14> · C136
C136 = P64 · P73
P64 = 1336857265227055891602255144595312710366914084138447152868661721_<64>
P73 = 1737680497099652281480746842090914423799196760175286953572897766236908421_<73>

Number: trial N=2323030797191032176060172857078046465138870277980828896592371826135653611090689420139183547157987504868205237165243564748675554705252541 ( 136 digits) SNFS difficulty: 155 digits. Divisors found: r1=1336857265227055891602255144595312710366914084138447152868661721 (pp64) r2=1737680497099652281480746842090914423799196760175286953572897766236908421 (pp73) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 65.51 hours. Scaled time: 34.79 units (timescale=0.531). Factorization parameters were as follows: n: 2323030797191032176060172857078046465138870277980828896592371826135653611090689420139183547157987504868205237165243564748675554705252541 m: 5000000000000000000000000000000 c5: 56 c0: -265 skew: 1.36 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, 2700001) Primes: RFBsize:216816, AFBsize:216291, largePrimes:5713559 encountered Relations: rels:5732506, finalFF:501309 Max relations in full relation-set: 0 Initial matrix: 433173 x 501309 with sparse part having weight 30175485. Pruned matrix : 383318 x 385547 with weight 22673806. Total sieving time: 54.21 hours. Total relation processing time: 0.49 hours. Matrix solve time: 10.52 hours. Time per square root: 0.30 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: 65.51 hours. --------- CPU info (if available) ----------
Mar 11, 2007: By Jo Yeong Uk / GMP-ECM 6.1.1 B1=1000000
(82·10¹⁵³-1)/9 = 9(1)₁₅₃_<154> = 3⁴ · 688622185393_<12> · C141
C141 = P31 · C110
P31 = 1797980043765438104625447953831_<31>
C110 = [90849061798730120134415671857022727048215492925996768275275430895716965482161611441749945949212881419768357857_<110>]
Mar 10, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 snfs, gnfs
(34·10¹⁵³-7)/9 = 3(7)₁₅₃_<154> = 3 · 14556803 · C146
C146 = P34 · P43 · P70
P34 = 8594268236093335921513615334779403_<34>
P43 = 2721524007350718785531830805984150175159193_<43>
P70 = 3698520874245273856922213592778507670368184847406373387779530756679507_<70>

Number: 37777_153 N=86506581098834631426918345962314613947805658925195268443164289525609384097542520789713184911498717078142725381339519347706997151727564030320342953 ( 146 digits) SNFS difficulty: 154 digits. Divisors found: r1=8594268236093335921513615334779403 (pp34) r2=2721524007350718785531830805984150175159193 (pp43) r3=3698520874245273856922213592778507670368184847406373387779530756679507 (pp70) Version: GGNFS-0.77.1-20050930-k8 Total time: 29.32 hours. Scaled time: 26.56 units (timescale=0.906). Factorization parameters were as follows: n: 86506581098834631426918345962314613947805658925195268443164289525609384097542520789713184911498717078142725381339519347706997151727564030320342953 m: 2000000000000000000000000000000 c5: 2125 c0: -14 skew: 1 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, 2900001) Primes: RFBsize:216816, AFBsize:216796, largePrimes:5647466 encountered Relations: rels:5576706, finalFF:516040 Max relations in full relation-set: 28 Initial matrix: 433678 x 516040 with sparse part having weight 42818916. Pruned matrix : 393255 x 395487 with weight 29312729. Total sieving time: 27.82 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.34 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 29.32 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335817) Calibrating delay using timer specific routine.. 4668.49 BogoMIPS (lpj=2334245) Total of 2 processors activated (9340.12 BogoMIPS).
(4·10¹⁸¹-1)/3 = 1(3)₁₈₁_<182> = 13 · 208003 · 947369 · 6213997 · 422657489810930235663875844391_<30> · 95889960353472897975804675641271719639_<38> · C95
C95 = P44 · P52
P44 = 18428292279714960219702287943095725613326919_<44>
P52 = 1121472882089843997692184363087036030254868910061009_<52>

Number: 13333_181 N=20666830054925958025154487842787710069959392668108893582404651266727653619739610443131752001271 ( 95 digits) Divisors found: r1=18428292279714960219702287943095725613326919 (pp44) r2=1121472882089843997692184363087036030254868910061009 (pp52) Version: GGNFS-0.77.1-20050930-k8 Total time: 4.51 hours. Scaled time: 4.08 units (timescale=0.905). Factorization parameters were as follows: name: 13333_181 n: 20666830054925958025154487842787710069959392668108893582404651266727653619739610443131752001271 m: 3520571363530624627796 deg: 4 c4: 134530656 c3: -818416215523 c2: 77204166447062888 c1: 3032188238699940176 c0: -27449618853113239775241 skew: 1635.250 type: gnfs # adj. I(F,S) = 53.726 # E(F1,F2) = 4.428722e-05 # GGNFS version 0.77.1-20050930-k8 polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=58.00000000, seed=1173454162. # maxskew=2000.0 # These parameters should be manually set: rlim: 1200000 alim: 1200000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.4 alambda: 2.4 qintsize: 50000 type: gnfs Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [600000, 1200001) Primes: RFBsize:92938, AFBsize:93069, largePrimes:1870373 encountered Relations: rels:1942169, finalFF:238237 Max relations in full relation-set: 28 Initial matrix: 186084 x 238237 with sparse part having weight 16401459. Pruned matrix : 161680 x 162674 with weight 8895346. Polynomial selection time: 0.08 hours. Total sieving time: 4.26 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.10 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,50000 total time: 4.51 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335817) Calibrating delay using timer specific routine.. 4668.49 BogoMIPS (lpj=2334245) Total of 2 processors activated (9340.12 BogoMIPS).
Mar 9, 2007 (2nd): By suberi / GMP-ECM 6.1.2 B1=1000000
(4·10¹⁸¹-1)/3 = 1(3)₁₈₁_<182> = 13 · 208003 · 947369 · 6213997 · 422657489810930235663875844391_<30> · C133
C133 = P38 · C95
P38 = 95889960353472897975804675641271719639_<38>
C95 = [20666830054925958025154487842787710069959392668108893582404651266727653619739610443131752001271_<95>]
Mar 9, 2007: By Philippe STROHL / gmp-ecm 6.1.1, msieve
(31·10¹⁵⁹-13)/9 = 3(4)₁₅₈3_<160> = 11 · 29 · 103 · 31495525256123412108590573_<26> · C130
C130 = P32 · P99
P32 = 18220801332111452637905105535377_<32>
P99 = 182673246922664922215116667618385192896049286094122406240480789269739834481068876099995763335349519_<99>
(31·10¹⁶¹-13)/9 = 3(4)₁₆₀3_<162> = 11 · 71160562589767531_<17> · 35346772348313233757_<20> · C125
C125 = P31 · P94
P31 = 9214711542428400460620693533887_<31>
P94 = 1351000839508368862206252121522886281976194919602387289398936256144347787863519361665877324497_<94>
(31·10¹⁶⁹-13)/9 = 3(4)₁₆₈3_<170> = 3 · 11 · 17 · 79531 · C162
C162 = P39 · P124
P39 = 522235888582298378420929116637405995083_<39>
P124 = 1478267967438312308101056504254553548511855058325922241446036981530842781007936900982261738169354345327696013073609676251331_<124>
(31·10¹⁷⁴-13)/9 = 3(4)₁₇₃3_<175> = 293617 · 1436471 · 7557443 · 130775549186455666311890896219_<30> · C127
C127 = P27 · P46 · P56
P27 = 527793365692251166832991629_<27>
P46 = 1413255507990492806168595079438433390439397411_<46>
P56 = 11077839744989375386501684687854942571016255668118907163_<56>
(31·10¹⁷⁷-13)/9 = 3(4)₁₇₆3_<178> = 11 · 173 · 227 · 223461044467_<12> · C161
C161 = P35 · P36 · P90
P35 = 65219477847426587077518315943625357_<35>
P36 = 719038817915347421940630071846579687_<36>
P90 = 760892074198757200697890675804603439092610757105817352711491913696740817887672336986109351_<90>
(31·10¹⁸⁴-13)/9 = 3(4)₁₈₃3_<185> = 3² · C184
C184 = P29 · P155
P29 = 50860390743863081094178433417_<29>
P155 = 75248350196541765986731032991141074676843238579485128560091333022256455922893727877575862591799754153933049498279895799619706673770461385880459855652498731_<155>
(31·10¹⁸⁵-13)/9 = 3(4)₁₈₄3_<186> = 11² · 17 · 181 · 41131 · 1592243039_<10> · 2417267440429797889605030637_<28> · C139
C139 = P41 · P99
P41 = 17757128990144490057865326416335009059131_<41>
P99 = 329101785627995503144769772900089826205540526094392828018012426909891788968440162312882573944829573_<99>
(31·10¹⁹²-13)/9 = 3(4)₁₉₁3_<193> = 157 · 1936999 · C185
C185 = P32 · P36 · P118
P32 = 12156616229645126390322167911417_<32>
P36 = 606268239934794595379364961442940829_<36>
P118 = 1536783223791944940826326054744739537580422334052791100435400818238680780875852116995008930134240059957027789762086957_<118>
(31·10¹⁹⁴-13)/9 = 3(4)₁₉₃3_<195> = 7 · 24851 · 578959 · C184
C184 = P33 · P34 · P119
P33 = 117602516565159674781337594954997_<33>
P34 = 1736648356153263282151812902240569_<34>
P119 = 16745609548147609812124124983067904018895063174524086172259099007693123279142523007585234586580156877839035349260578677_<119>
(31·10¹⁹⁵-13)/9 = 3(4)₁₉₄3_<196> = 11 · 409 · 433 · 1231 · 9857 · 29106199 · 226024859 · C167
C167 = P34 · C133
P34 = 5027043972621015155274153602261603_<34>
C133 = [4406138049467862108822304886904684665095340472558491300911579282015207482952828657413786426677152881312064869462756319604850096004769_<133>]
(31·10¹⁹⁷-13)/9 = 3(4)₁₉₆3_<198> = 11 · 8529173 · 16832693 · C183
C183 = P35 · C148
P35 = 31718978554313454335064248296767941_<35>
P148 = [6876172764021503279846353192025765375761066473830933599403773173852114080803102720428674084422381287992997630233231841600216245045225929329829236037_<148>]
Note: for all the composites submitted today gmp-ecm 6.1.1 option -I between 1e6 and 3e6 plus a few extra curves at 10e6 (so level 35 digits should be complete) pp1 done at 10e9 one time for the ten first remaining composites of the list, one time (Philippe STROHL)
Mar 8, 2007 (4th): By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(68·10¹⁵³+13)/9 = 7(5)₁₅₂7_<154> = 3² · 11 · 1129 · 1375013 · C143
C143 = P38 · P105
P38 = 61065373075425676577973996838542929633_<38>
P105 = 805073344781424198084009165594160318465099225536810480321303682980714430410153103765571332168602554390323_<105>

Number: 75557_153 N=49162104152158473852257356247164514014169615600587153399576969092026274841248343978397668819540045798313854721876473148828889098776674605141459 ( 143 digits) SNFS difficulty: 154 digits. Divisors found: r1=61065373075425676577973996838542929633 (pp38) r2=805073344781424198084009165594160318465099225536810480321303682980714430410153103765571332168602554390323 (pp105) Version: GGNFS-0.77.1-20050930-k8 Total time: 25.50 hours. Scaled time: 23.18 units (timescale=0.909). Factorization parameters were as follows: n: 49162104152158473852257356247164514014169615600587153399576969092026274841248343978397668819540045798313854721876473148828889098776674605141459 m: 2000000000000000000000000000000 c5: 2125 c0: 13 skew: 1 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, 2700001) Primes: RFBsize:216816, AFBsize:216466, largePrimes:5605113 encountered Relations: rels:5534336, finalFF:522965 Max relations in full relation-set: 28 Initial matrix: 433348 x 522965 with sparse part having weight 41494477. Pruned matrix : 379741 x 381971 with weight 27448128. Total sieving time: 24.12 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.23 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 25.50 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335817) Calibrating delay using timer specific routine.. 4668.49 BogoMIPS (lpj=2334245) Total of 2 processors activated (9340.12 BogoMIPS).
Mar 8, 2007 (3rd): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(82·10¹⁵³+71)/9 = 9(1)₁₅₂9_<154> = 11 · 65519 · 237466693823083_<15> · C134
C134 = P51 · P84
P51 = 146390585269811370845985545630132602549881181957493_<51>
P84 = 363660008608730922630636735619631543462580645365161805226770939783787413528491520389_<84>

Number: trial N=53236401499456761316073245652900249749764555961276757346582245881790826230770824257629997843337224692510634933036878499624830740824777 ( 134 digits) SNFS difficulty: 155 digits. Divisors found: r1=146390585269811370845985545630132602549881181957493 (pp51) r2=363660008608730922630636735619631543462580645365161805226770939783787413528491520389 (pp84) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 75.52 hours. Scaled time: 38.14 units (timescale=0.505). Factorization parameters were as follows: n: 53236401499456761316073245652900249749764555961276757346582245881790826230770824257629997843337224692510634933036878499624830740824777 m: 2000000000000000000000000000000 c5: 5125 c0: 142 skew: 1 type: snfsFactor 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, 1 ) Primes: RFBsize:216816, AFBsize:216828, largePrimes:5610853 encountered Relations: rels:5499955, finalFF:500031 Max relations in full relation-set: 0 Initial matrix: 433710 x 500031 with sparse part having weight 46174110. Pruned matrix : 407069 x 409301 with weight 32384029. Total sieving time: 66.29 hours. Total relation processing time: 0.59 hours. Matrix solve time: 8.29 hours. Time per square root: 0.35 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: 75.52 hours. --------- CPU info (if available) ----------
Mar 8, 2007 (2nd): By Bruce Dodson / GMP-ECM / Feb 25, 2007
10³⁷⁹+1 = 1(0)₃₇₈1_<380> = 11 · 10613 · 30817249 · 4918445244727502358176820280164673127_<37> · C330
C330 = P53 · C278
P53 = 33584520860278767011970207517032237108309731086439023_<53>
C278 = [16827061636858301807417830743016139436111697678133727198462189350037543615130040061453939200050698409557403053836355657478868125072163055516431199446323056297229473485500285538897823057447955700947790298371668529982572265464316125827004742058791596076336326778009636479204734783_<278>]
By Bruce Dodson / GMP-ECM / Mar 2, 2007
10³⁹⁴+1 = 1(0)₃₉₃1_<395> = 101 · 27581 · 39183683903547299202471125940449908897423309_<44> · C344
C344 = P53 · P291
P53 = 95857172574244109092139928579854506165297073472804809_<53>
P291 = 955737746910848289298542541424663089706331830294404692746411509225952770622079883261039291690273699630517609797375668184351088065578009261657806563698330735168868137570443380377516027002412525522935434804743886172764249065452729071714341068915031993169251851872703748461050312064423743542541_<291>
By Yousuke Koide / GMP-ECM / Mar 6, 2007
(10¹⁰¹¹-1)/9 = (1)₁₀₁₁_<1011> = 3 · 37 · 248707 · 427991 · 282549563 · 288525099368866187_<18> · 16917315519781128734365649437223631827_<38> · [1882405423818571330780209095519806749563519430700453721593179952656343963131813810925373770836559341617884038513747354594918124525467950655542193487570841729702485413334783631101246494629336094540357234595856835370463421588982989455925674466916759281841736587368701683_<268>] · C667
C667 = P32 · C636
P32 = 12652477149085504014830875594123_<32>
C636 = [286294793881282912130855648097538698206027889766121394515256725961872922751483459413620078771040119414455975097318456561036922025364700573661111764253749922304265639740420941814888613838229170105845271060995650346929300836861427222478412662698349880700722276694945914794152736979267379128349311405152497674634320275965800024192769244850307821227101765226856267317872753791085432843605201253802719836972476742620905073236547193718736530795849658690715813666409811296034926060045018355572062333758848573919367583116604677220526788431409580883989472938335069801691982943912731447595279635026489033797287399458502618926938385063431899021231_<636>]
(10¹⁰⁴¹-1)/9 = (1)₁₀₄₁_<1041> = 3 · 37 · 2083 · 8329 · 27067 · 387498606374535498907_<21> · 410503975731004954782987073229804230653973883737063993464776706362401119854845794181516647988735770905941224040754834710574171910854956630254964019326527177415713271183031407659183179189090446340972812321687335541844722766139990065803787309680094251712827838737618173832013563051358152403706029892899512731780807297118672594344076222378213733_<342> · C665
C665 = P36 · C629
P36 = 577252559308332845030620001242246603_<36>
C629 = [23214475573112864700395259491972658202333453156514809632205180386220897847773687197971996181780712132346732719148680085001157370374533487762518892347421470715193616477326444632942199942405300688391126791278435320093415489210733243143059636998103080857040663665750148760924967727020431499198996537173570939491700490193438339980421604001945908933355246620462076573217246166796652564502969051366151263217279284957832647067808529306065284071704810178613972436255263012347169862879437715552991430838967498025200325707172390079310740595199412531636776504037915756237589195211740726755394516519375380035197743847351595531386777246611253_<629>]
By Yousuke Koide / GMP-ECM / Mar 7, 2007
(10¹⁰⁵⁹-1)/9 = (1)₁₀₅₉_<1059> = 3 · 37 · 137079079 · 1781225293_<10> · 1044667255801249_<16> · 276218418252581926399_<21> · [5971186761077908392402271407138469531337493584613277755428999212784863535602930319390757965057266944400930822994221431803426200382259169609623749938890624018856064323434210138683794638398181555480636589432967847046558303900493221643545118097808466487261074656366822115475153656260621410869928975265101194270553763134331528776323_<328>] · C676
C676 = P34 · C642
P34 = 2691389034550013371833520881354751_<34>
C642 = [884049801030082601270977336088490220653550515011911834288189327905733002820208844890522745337342941036583290341313709289759140020077635739025637834248112703394232284208374017876926369421341920680738712424467307084277330820948742870649808872849518268665410142792357137992362367708470343491917411114590672611542431152126603857084300670009823350599290435359606828975158445248233289321388028791829142849297518966358279310536561694746192762490653696178155614179174376659813367065368915000672478855509803415476012840941116146020460058072391134226210532777512274239989720039594198159975070372096719717717606732379981908825888205585620356444445343321_<642>]
By Yousuke Koide / GMP-ECM / Mar 8, 2007
(10¹¹⁰⁷-1)/9 = (1)₁₁₀₇_<1107> = 3³ · 37 · 83 · 757 · 1231 · 333667 · 538987 · 1811791 · 626920594693_<12> · 440334654777631_<15> · 9425856976319889649_<19> · 3244514648940691294717_<22> · 1900016393894413508477719_<25> · 201763709900322803748657942361_<30> · 3151445759294008336434146467746716852125711_<43> · 8414640003465161203119978906558054839526493_<43> · 4624740815741021164555032450406356165555243059597323_<52> · 36075379229129405137442680972370788324414060277012433191198831287911648192680373281921936535843435181632954359677168188643_<122> · C699
C699 = P29 P29 = 36598745651481177932875978009_<29>
C670 = [8421395407701451357967778582252244520221237772223889951133870001343239320459225863280237771550205743834888122813777081705029318772145397879204796376432965690632959491597520423303205670492188492743468799736285667411811792446094603419983097940429401208865957790402408688555656858847087828907487521626755717445454039822609326576086912994025567567275380187461141741370039005225985561644299683996212863959980256694546773043469777628715362669884539629551914663581747854969463992070819901996738139264576576055976866608541775357637709419786900480317302741392460029144631200537648005105676799674440167889384770969409630530611228585776516841744339495137905408376149866733190857117_<670>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Mar 8, 2007: By suberi / GMP-ECM 6.1.2 B1=1000000
10¹⁹⁷+3 = 1(0)₁₉₆3_<198> = 19106066785697_<14> · 23966692732375924083199_<23> · C162
C162 = P40 · P123
P40 = 1506740400796917587901655344160313161129_<40>
P123 = 144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869_<123>
Mar 7, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(4·10¹⁵³-31)/9 = (4)₁₅₂1_<153> = 3 · 7 · 173 · 3385201 · C143
C143 = P67 · P76
P67 = 4560488305057311382507435593928027003772055069381323048336055152141_<67>
P76 = 7924215490068690146402503872065403399730977147986139905338185035670928531997_<76>

Number: 44441_153 N=36138292069212252804360029632108275578414345782524514470030745613346797095292264523197204403608737079442116410293774845823464966686989621555577 ( 143 digits) SNFS difficulty: 153 digits. Divisors found: r1=4560488305057311382507435593928027003772055069381323048336055152141 (pp67) r2=7924215490068690146402503872065403399730977147986139905338185035670928531997 (pp76) Version: GGNFS-0.77.1-20050930-k8 Total time: 24.08 hours. Scaled time: 21.67 units (timescale=0.900). Factorization parameters were as follows: n: 36138292069212252804360029632108275578414345782524514470030745613346797095292264523197204403608737079442116410293774845823464966686989621555577 m: 2000000000000000000000000000000 c5: 125 c0: -31 skew: 1 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, 2500001) Primes: RFBsize:176302, AFBsize:175914, largePrimes:5665459 encountered Relations: rels:5608318, finalFF:477939 Max relations in full relation-set: 28 Initial matrix: 352281 x 477939 with sparse part having weight 46352456. Pruned matrix : 305368 x 307193 with weight 27517089. Total sieving time: 23.11 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.82 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 24.08 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334236) Total of 2 processors activated (9340.10 BogoMIPS).
Mar 6, 2007 (2nd): By suberi / GMP-ECM 6.1.2 B1=1000000
(10¹⁸⁹-7)/3 = (3)₁₈₈1_<189> = 6271 · 32299 · 49499 · C176
C176 = P39 · C137
P39 = 390260975373901404701261090769277737521_<39>
C137 = [85192491022602890603074871079556893265640713223062077079739053971510944948117291577066638568041553214076814786971563038486205148193680341_<137>]
(10¹⁹⁸-7)/3 = (3)₁₉₇1_<198> = 5227 · 46166297 · 22914711330208754233_<20> · 23718216221212076013091_<23> · C145
C145 = P31 · P114
P31 = 7696067714948962015077813118481_<31>
P114 = 330244740180740509985313674081442941277435825012140259779350607572345764737082477798183352202923318056811684612243_<114>
2·10¹⁹⁷-1 = 1(9)₁₉₇_<198> = 3489781 · 1544884849_<10> · C182
C182 = P29 · C153
P29 = 99635152957880897351925251119_<29>
C153 = [372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109_<153>]
Mar 6, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(8·10¹⁵³-17)/9 = (8)₁₅₂7_<153> = 89 · 22286723 · 94976111 · C136
C136 = P33 · P104
P33 = 217268134271750274716736715143719_<33>
P104 = 21717050344389871464856176217536012976372677149540834313494789291293540788172416316018723197631883531069_<104>

Number: 88887_153 N=4718423010211259138794297245007442786322594410737558694288228071792107072248790299828640538720776084278326199636955123467452167536705611 ( 136 digits) SNFS difficulty: 153 digits. Divisors found: r1=217268134271750274716736715143719 (pp33) r2=21717050344389871464856176217536012976372677149540834313494789291293540788172416316018723197631883531069 (pp104) Version: GGNFS-0.77.1-20050930-k8 Total time: 25.48 hours. Scaled time: 23.11 units (timescale=0.907). Factorization parameters were as follows: n: 4718423010211259138794297245007442786322594410737558694288228071792107072248790299828640538720776084278326199636955123467452167536705611 m: 2000000000000000000000000000000 c5: 250 c0: -17 skew: 1 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, 2500001) Primes: RFBsize:176302, AFBsize:176403, largePrimes:5745221 encountered Relations: rels:5725835, finalFF:503365 Max relations in full relation-set: 28 Initial matrix: 352771 x 503365 with sparse part having weight 49566596. Pruned matrix : 300196 x 302023 with weight 28750459. Total sieving time: 24.47 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.87 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 25.48 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334236) Total of 2 processors activated (9340.10 BogoMIPS).
Mar 4, 2007 (2nd): By suberi / GMP-ECM 6.1.2 B1=11000000
(10¹⁹¹-7)/3 = (3)₁₉₀1_<191> = 38299 · C186
C186 = P32 · P155
P32 = 47001744539769751968602827241659_<32>
P155 = 18517285944918351763957129214874859790396179101241321575840473185447049981337656206617185899986468939901439768367561621500456875804784348671181349229107691_<155>
(10¹⁹⁶-7)/3 = (3)₁₉₅1_<196> = 109 · 11741231 · 633752989 · 28326817297_<11> · 527066786539_<12> · C156
C156 = P29 · C127
P29 = 67704288545514248426941515407_<29>
C127 = [4065734211912069651889418786821571190367441227208124424697089378343489919175810203932388911072813673779896556294261144324891921_<127>]
Mar 4, 2007: By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
8·10¹⁵³-3 = 7(9)₁₅₂7_<154> = 11 · 678555051229694470501_<21> · C133
C133 = P37 · P96
P37 = 3958588948165095373557421558315246987_<37>
P96 = 270752082824477123437977810221348106655215927606556266395115229672809633068748701952340775747521_<96>

Number: trial N=1071796202761655680975767715160548894626826466165230156972830778309328057835702269408135222770727052795304362435081217609366667969227 ( 133 digits) SNFS difficulty: 153 digits. Divisors found: r1=3958588948165095373557421558315246987 (pp37) r2=270752082824477123437977810221348106655215927606556266395115229672809633068748701952340775747521 (pp96) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 49.08 hours. Scaled time: 25.13 units (timescale=0.512). Factorization parameters were as follows: n: 1071796202761655680975767715160548894626826466165230156972830778309328057835702269408135222770727052795304362435081217609366667969227 m: 2000000000000000000000000000000 c5: 250 c0: -3 skew: 1 type: snfsFactor 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:176393, largePrimes:5374741 encountered Relations: rels:5178886, finalFF:405889 Max relations in full relation-set: 0 Initial matrix: 352761 x 405889 with sparse part having weight 35888798. Pruned matrix : 327530 x 329357 with weight 25113503. Total sieving time: 38.95 hours. Total relation processing time: 0.37 hours. Matrix solve time: 9.27 hours. Time per square root: 0.50 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 49.08 hours. --------- CPU info (if available) ----------
Mar 2, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
(2·10¹⁵³+1)/3 = (6)₁₅₂7_<153> = 57301 · 45531221 · C141
C141 = P31 · P111
P31 = 1246958727165838831404081235523_<31>
P111 = 204920385309652616260714333673676048692818683964619270985352641874084886153793092233456525778430057468791514049_<111>

Number: 66667_153 N=255527262836057684415306691004922423526332419823667789088261154131521107217490488391670035818390945946835122826285976260835405729617732362627 ( 141 digits) SNFS difficulty: 153 digits. Divisors found: r1=1246958727165838831404081235523 (pp31) r2=204920385309652616260714333673676048692818683964619270985352641874084886153793092233456525778430057468791514049 (pp111) Version: GGNFS-0.77.1-20050930-k8 Total time: 18.10 hours. Scaled time: 16.02 units (timescale=0.885). Factorization parameters were as follows: n: 255527262836057684415306691004922423526332419823667789088261154131521107217490488391670035818390945946835122826285976260835405729617732362627 m: 2000000000000000000000000000000 c5: 125 c0: 2 skew: 1 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:176703, largePrimes:5568032 encountered Relations: rels:5511902, finalFF:508441 Max relations in full relation-set: 28 Initial matrix: 353070 x 508441 with sparse part having weight 44296531. Pruned matrix : 286818 x 288647 with weight 23160247. Total sieving time: 17.32 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.65 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 18.10 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.10 BogoMIPS).
Mar 1, 2007 (3rd): By Shaopu Lin / Msieve v. 1.16
10¹⁹⁰+3 = 1(0)₁₈₉3_<191> = 7 · 109 · 1999 · 9733 · 3233311 · 754010347 · 2866919243941_<13> · 17720582280902798851_<20> · 655722163172284079918744219522347_<33> · C100
C100 = P45 · P56
P45 = 623346172585568150454866799443866912070379169_<45>
P56 = 13306031615599752194914775123337309874878370542863648083_<56>

Wed Feb 28 11:34:08 2007 Wed Feb 28 11:34:08 2007 Wed Feb 28 11:34:08 2007 Msieve v. 1.16 Wed Feb 28 11:34:08 2007 random seeds: fd3e5e78 9c85d5b5 Wed Feb 28 11:34:08 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Wed Feb 28 11:34:08 2007 using multiplier of 3 Wed Feb 28 11:34:08 2007 sieve interval: 9 blocks of size 65536 Wed Feb 28 11:34:08 2007 processing polynomials in batches of 6 Wed Feb 28 11:34:08 2007 using a sieve bound of 2751557 (99744 primes) Wed Feb 28 11:34:08 2007 using large prime bound of 412733550 (28 bits) Wed Feb 28 11:34:08 2007 using double large prime bound of 3222593841584400 (43-52 bits) Wed Feb 28 11:34:08 2007 using trial factoring cutoff of 57 bits Wed Feb 28 11:34:08 2007 polynomial 'A' values have 13 factors Wed Feb 28 13:55:54 2007 3251 relations (2946 full + 305 combined from 185074 partial), need 99840 Wed Feb 28 13:55:54 2007 elapsed time 02:21:46 Wed Feb 28 20:46:51 2007 Wed Feb 28 20:46:51 2007 Wed Feb 28 20:46:51 2007 Msieve v. 1.16 Wed Feb 28 20:46:51 2007 random seeds: 6c76c7ad 23a675ba Wed Feb 28 20:46:51 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Wed Feb 28 20:46:51 2007 using multiplier of 3 Wed Feb 28 20:46:51 2007 sieve interval: 9 blocks of size 65536 Wed Feb 28 20:46:51 2007 processing polynomials in batches of 6 Wed Feb 28 20:46:51 2007 using a sieve bound of 2751557 (99744 primes) Wed Feb 28 20:46:51 2007 using large prime bound of 412733550 (28 bits) Wed Feb 28 20:46:51 2007 using double large prime bound of 3222593841584400 (43-52 bits) Wed Feb 28 20:46:51 2007 using trial factoring cutoff of 57 bits Wed Feb 28 20:46:51 2007 polynomial 'A' values have 13 factors Wed Feb 28 20:46:52 2007 restarting with 2946 full and 185074 partial relations Wed Feb 28 21:53:31 2007 4826 relations (4151 full + 675 combined from 263698 partial), need 99840 Wed Feb 28 21:53:31 2007 elapsed time 01:06:40 Wed Feb 28 22:39:39 2007 Wed Feb 28 22:39:39 2007 Wed Feb 28 22:39:39 2007 Msieve v. 1.16 Wed Feb 28 22:39:39 2007 random seeds: 101005eb 187da084 Wed Feb 28 22:39:39 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Wed Feb 28 22:39:40 2007 using multiplier of 3 Wed Feb 28 22:39:40 2007 sieve interval: 9 blocks of size 65536 Wed Feb 28 22:39:40 2007 processing polynomials in batches of 6 Wed Feb 28 22:39:40 2007 using a sieve bound of 2751557 (99744 primes) Wed Feb 28 22:39:40 2007 using large prime bound of 412733550 (28 bits) Wed Feb 28 22:39:40 2007 using double large prime bound of 3222593841584400 (43-52 bits) Wed Feb 28 22:39:40 2007 using trial factoring cutoff of 57 bits Wed Feb 28 22:39:40 2007 polynomial 'A' values have 13 factors Wed Feb 28 22:39:40 2007 restarting with 4151 full and 263698 partial relations Thu Mar 1 02:26:09 2007 12719 relations (8672 full + 4047 combined from 550728 partial), need 99840 Thu Mar 1 02:26:09 2007 elapsed time 03:46:30 Thu Mar 1 02:40:22 2007 Thu Mar 1 02:40:22 2007 Thu Mar 1 02:40:22 2007 Msieve v. 1.16 Thu Mar 1 02:40:22 2007 random seeds: e3b4d815 047781cd Thu Mar 1 02:40:22 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Thu Mar 1 02:40:22 2007 using multiplier of 3 Thu Mar 1 02:40:22 2007 sieve interval: 9 blocks of size 65536 Thu Mar 1 02:40:22 2007 processing polynomials in batches of 6 Thu Mar 1 02:40:22 2007 using a sieve bound of 2751557 (99744 primes) Thu Mar 1 02:40:22 2007 using large prime bound of 412733550 (28 bits) Thu Mar 1 02:40:22 2007 using double large prime bound of 3222593841584400 (43-52 bits) Thu Mar 1 02:40:22 2007 using trial factoring cutoff of 57 bits Thu Mar 1 02:40:22 2007 polynomial 'A' values have 13 factors Thu Mar 1 02:40:25 2007 restarting with 8672 full and 550728 partial relations Thu Mar 1 07:20:08 2007 30190 relations (14336 full + 15854 combined from 903383 partial), need 99840 Thu Mar 1 07:20:08 2007 elapsed time 04:39:46 Thu Mar 1 07:30:56 2007 Thu Mar 1 07:30:56 2007 Thu Mar 1 07:30:56 2007 Msieve v. 1.16 Thu Mar 1 07:30:56 2007 random seeds: 38d2b3b4 69611d54 Thu Mar 1 07:30:56 2007 factoring 8294263879886669337889452986894589163143089933573829537603544076933357431118781123536752128389983027 (100 digits) Thu Mar 1 07:30:57 2007 using multiplier of 3 Thu Mar 1 07:30:57 2007 sieve interval: 9 blocks of size 65536 Thu Mar 1 07:30:57 2007 processing polynomials in batches of 6 Thu Mar 1 07:30:57 2007 using a sieve bound of 2751557 (99744 primes) Thu Mar 1 07:30:57 2007 using large prime bound of 412733550 (28 bits) Thu Mar 1 07:30:57 2007 using double large prime bound of 3222593841584400 (43-52 bits) Thu Mar 1 07:30:57 2007 using trial factoring cutoff of 57 bits Thu Mar 1 07:30:57 2007 polynomial 'A' values have 13 factors Thu Mar 1 07:31:00 2007 restarting with 14336 full and 903383 partial relations Thu Mar 1 15:05:37 2007 100015 relations (23609 full + 76406 combined from 1496872 partial), need 99840 Thu Mar 1 15:05:39 2007 begin with 1520481 relations Thu Mar 1 15:05:42 2007 reduce to 264112 relations in 11 passes Thu Mar 1 15:05:42 2007 attempting to read 264112 relations Thu Mar 1 15:05:46 2007 recovered 264112 relations Thu Mar 1 15:05:46 2007 recovered 255700 polynomials Thu Mar 1 15:05:47 2007 attempting to build 100015 cycles Thu Mar 1 15:05:47 2007 found 100015 cycles in 6 passes Thu Mar 1 15:05:47 2007 distribution of cycle lengths: Thu Mar 1 15:05:47 2007 length 1 : 23609 Thu Mar 1 15:05:47 2007 length 2 : 17124 Thu Mar 1 15:05:47 2007 length 3 : 16634 Thu Mar 1 15:05:47 2007 length 4 : 13670 Thu Mar 1 15:05:47 2007 length 5 : 10309 Thu Mar 1 15:05:47 2007 length 6 : 7296 Thu Mar 1 15:05:47 2007 length 7 : 4705 Thu Mar 1 15:05:47 2007 length 9+: 6668 Thu Mar 1 15:05:47 2007 largest cycle: 23 relations Thu Mar 1 15:05:48 2007 matrix is 99744 x 100015 with weight 6892518 (avg 68.91/col) Thu Mar 1 15:05:49 2007 filtering completed in 3 passes Thu Mar 1 15:05:49 2007 matrix is 98293 x 98357 with weight 6706543 (avg 68.19/col) Thu Mar 1 15:05:51 2007 saving the first 48 matrix rows for later Thu Mar 1 15:05:51 2007 matrix is 98245 x 98357 with weight 5288937 (avg 53.77/col) Thu Mar 1 15:05:51 2007 matrix includes 32 packed rows Thu Mar 1 15:12:18 2007 lanczos halted after 1555 iterations Thu Mar 1 15:12:18 2007 recovered 15 nontrivial dependencies Thu Mar 1 15:12:20 2007 prp45 factor: 623346172585568150454866799443866912070379169 Thu Mar 1 15:12:20 2007 prp56 factor: 13306031615599752194914775123337309874878370542863648083 Thu Mar 1 15:12:21 2007 elapsed time 07:41:25
Mar 1, 2007 (2nd): By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(23·10¹⁷⁴+1)/3 = 7(6)₁₇₃7_<175> = C175
C175 = P82 · P94
P82 = 1160607580637197436909970824725037202415122085752327758687078618700131481703406693_<82>
P94 = 6605735473877836429266158816256245412965621347106431956774582202198506986337160850347488301519_<94>

Number: trial N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 ( 175 digits) SNFS difficulty: 176 digits. Divisors found: r1=1160607580637197436909970824725037202415122085752327758687078618700131481703406693 (pp82) r2=6605735473877836429266158816256245412965621347106431956774582202198506986337160850347488301519 (pp94) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 524.24 hours. Scaled time: 261.59 units (timescale=0.499). Factorization parameters were as follows: n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 m: 100000000000000000000000000000000000 c5: 23 c0: 10 skew: 1 type: snfsFactor 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, 12000001) Primes: RFBsize:501962, AFBsize:502936, largePrimes:6573231 encountered Relations: rels:7075654, finalFF:1156659 Max relations in full relation-set: 0 Initial matrix: 1004963 x 1156659 with sparse part having weight 73670169. Pruned matrix : 875281 x 880369 with weight 56635738. Total sieving time: 421.19 hours. Total relation processing time: 2.85 hours. Matrix solve time: 99.19 hours. Time per square root: 1.01 hours. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 524.24 hours. --------- CPU info (if available) ----------
ggnfs.log
P82 is the largest factor found by GGNFS so far in our tables. Congratulations!
See also Records.
Mar 1, 2007: By Jo Yeong Uk / GGNFS-0.77.1-20050930-k8
2·10¹⁵³-1 = 1(9)₁₅₃_<154> = 15691768246211_<14> · C141
C141 = P69 · P72
P69 = 353513036560672278720383066571230366372013904846573971289155955705721_<69>
P72 = 360539354070797054614614477395854393904128587102075385793873356333263229_<72>

Number: 19999_153 N=127455361857190846931918977265359562320737650559762438370891685772080440799934245153725798549661033306725368901569294000250485152745554233109 ( 141 digits) SNFS difficulty: 153 digits. Divisors found: r1=353513036560672278720383066571230366372013904846573971289155955705721 (pp69) r2=360539354070797054614614477395854393904128587102075385793873356333263229 (pp72) Version: GGNFS-0.77.1-20050930-k8 Total time: 18.09 hours. Scaled time: 16.28 units (timescale=0.900). Factorization parameters were as follows: n: 127455361857190846931918977265359562320737650559762438370891685772080440799934245153725798549661033306725368901569294000250485152745554233109 m: 2000000000000000000000000000000 c5: 125 c0: -2 skew: 1 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:176703, largePrimes:5510413 encountered Relations: rels:5411193, finalFF:473639 Max relations in full relation-set: 28 Initial matrix: 353070 x 473639 with sparse part having weight 41868614. Pruned matrix : 299602 x 301431 with weight 23572181. Total sieving time: 17.27 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.69 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 18.09 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 06 Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init) Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816) Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238) Total of 2 processors activated (9340.10 BogoMIPS).

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