Since June 16, 2000

STUDIO KAMADA

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News and updates, May 2007

May 31, 2007 (4th)

By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp
4·10¹⁵⁴+3 = 4(0)₁₅₃3_<155> = 1327 · 870755550325850941_<18> · C134
C134 = P35 · P40 · P60
P35 = 22208856755600059957457268067062121_<35>
P40 = 1894425688430070080563866230389466204449_<40>
P60 = 822790066767611381874600814825665810874654564700976063637801_<60>

Number: n N=34617270133071285415914354745753361151760004396813244310996447931454777677825544431616161322375402810136808065672456644101628679212529 ( 134 digits) SNFS difficulty: 155 digits. Divisors found: r1=22208856755600059957457268067062121 (pp35) r2=1894425688430070080563866230389466204449 (pp40) r3=822790066767611381874600814825665810874654564700976063637801 (pp60) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 28.57 hours. Scaled time: 38.97 units (timescale=1.364). Factorization parameters were as follows: name: KA_4_0_153_3 n: 34617270133071285415914354745753361151760004396813244310996447931454777677825544431616161322375402810136808065672456644101628679212529 skew: 1.50 deg: 5 c5: 2 c0: 15 m: 10000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 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:216816, AFBsize:216721, largePrimes:6921372 encountered Relations: rels:6417283, finalFF:508343 Max relations in full relation-set: 28 Initial matrix: 433602 x 508343 with sparse part having weight 33814808. Pruned matrix : 369514 x 371746 with weight 20585563. Total sieving time: 25.59 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.38 hours. Total square root time: 0.41 hours, sqrts: 4. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 28.57 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

May 31, 2007 (3rd)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹⁵⁵+3 = 4(0)₁₅₄3_<156> = 131 · 277 · 1597 · 131311 · 823553 · 667849372139_<12> · C125
C125 = P54 · P72
P54 = 492825456187630481531157139782940959270957733499511907_<54>
P72 = 193927631621634265976915268190761855606404319236001612241209942831445103_<72>

Number: 40003_155 N=95572473521318661498662645987832126295159614647710436217024143597699587551562764245776486857662364971023065753927621965341421 ( 125 digits) SNFS difficulty: 155 digits. Divisors found: r1=492825456187630481531157139782940959270957733499511907 (pp54) r2=193927631621634265976915268190761855606404319236001612241209942831445103 (pp72) Version: GGNFS-0.77.1-20050930-nocona Total time: 17.81 hours. Scaled time: 16.60 units (timescale=0.932). Factorization parameters were as follows: n: 95572473521318661498662645987832126295159614647710436217024143597699587551562764245776486857662364971023065753927621965341421 m: 10000000000000000000000000000000 c5: 4 c0: 3 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:216936, largePrimes:5532285 encountered Relations: rels:5477183, finalFF:544684 Max relations in full relation-set: 28 Initial matrix: 433819 x 544684 with sparse part having weight 40709982. Pruned matrix : 354442 x 356675 with weight 25742292. Total sieving time: 16.97 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.72 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: 17.81 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 31, 2007 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs
(2·10¹⁸⁸-17)/3 = (6)₁₈₇1_<188> = 1249 · 4441 · 6752297 · 1389323376967_<13> · 16824073891211_<14> · 1216695017169281822145299803_<28> · C122
C122 = P39 · P41 · P43
P39 = 615078923306073798787696079184152415389_<39>
P41 = 85050733879933863941346674478983397401509_<41>
P43 = 1196434264494666367424967458018651028134987_<43>

Number: 66661_188 N=62588962571313430923171131998101606731573624728012758991844454013795770476577693323728766959320614463002807069297413648987 ( 122 digits) Divisors found: r1=615078923306073798787696079184152415389 (pp39) r2=85050733879933863941346674478983397401509 (pp41) r3=1196434264494666367424967458018651028134987 (pp43) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 159.90 hours. Scaled time: 97.54 units (timescale=0.610). Factorization parameters were as follows: name: 66661_188 n: 62588962571313430923171131998101606731573624728012758991844454013795770476577693323728766959320614463002807069297413648987 skew: 114576.20 # norm 3.31e+17 c5: 13440 c4: 2462590922 c3: -6373329795304895 c2: 17153346731370743370 c1: 5085559537440422841815590 c0: -17067805229319834584176509187 # alpha -6.44 Y1: 476997068339 Y0: -341680091446117488971230 # Murphy_E 2.10e-10 # M 45437465253762539043198554707571244147803654915231204116125873835555610032596555634445435860298252922599408721648658256309 type: gnfs rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2500000, 5380001) Primes: RFBsize:348513, AFBsize:349461, largePrimes:7667930 encountered Relations: rels:7745473, finalFF:782034 Max relations in full relation-set: 0 Initial matrix: 698054 x 782034 with sparse part having weight 82397365. Pruned matrix : 631630 x 635184 with weight 58591835. Total sieving time: 128.25 hours. Total relation processing time: 1.52 hours. Matrix solve time: 29.47 hours. Time per square root: 0.66 hours. Prototype def-par.txt line would be: gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000 total time: 159.90 hours. --------- CPU info (if available) ----------

May 31, 2007

By Robert Backstrom / GGNFS-0.77.1-20051202-athlon, GMP-ECM 5.0
(4·10¹⁷⁰+23)/9 = (4)₁₆₉7_<170> = 193 · C168
C168 = P54 · P114
P54 = 549040020458710771002201900655139572384963724205511693_<54>
P114 = 419426794015259711436313029497443646256396503285623169529962875069579148740583046787001583894004049064540008475803_<114>

Number: n N=230282095567069660333909038572251007484168105929763960852043753598157743235463442717328727691421991940126655152561888313183649971214738054116292458261370178468624064479 ( 168 digits) SNFS difficulty: 170 digits. Divisors found: r1=549040020458710771002201900655139572384963724205511693 (pp54) r2=419426794015259711436313029497443646256396503285623169529962875069579148740583046787001583894004049064540008475803 (pp114) Version: GGNFS-0.77.1-20051202-athlon Total time: 100.59 hours. Scaled time: 130.46 units (timescale=1.297). Factorization parameters were as follows: name: KA_4_169_7 n: 230282095567069660333909038572251007484168105929763960852043753598157743235463442717328727691421991940126655152561888313183649971214738054116292458261370178468624064479 skew: 1.42 deg: 5 c5: 4 c0: 23 m: 10000000000000000000000000000000000 type: snfs rlim: 5000000 alim: 5000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 4100001) Primes: RFBsize:348513, AFBsize:349036, largePrimes:8203799 encountered Relations: rels:7823329, finalFF:797317 Max relations in full relation-set: 48 Initial matrix: 697613 x 797316 with sparse part having weight 47748724. Pruned matrix : 612060 x 615612 with weight 32155030. Total sieving time: 90.86 hours. Total relation processing time: 0.33 hours. Matrix solve time: 9.30 hours. Total square root time: 0.11 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000 total time: 100.59 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

(89·10¹⁶⁹+1)/9 = 9(8)₁₆₈9_<170> = 3 · 11 · C169
C169 = P31 · P31 · P109
P31 = 1043029760492294778115192930717_<31>
P31 = 2137408286980640850586822612999_<31>
P109 = 1344155050671296329476443457173504996983463628893573178601520913356656425293555294725257688032563620895713451_<109>
4·10¹⁵³-3 = 3(9)₁₅₂7_<154> = 7 · 36598463075809_<14> · C140
C140 = P42 · P98
P42 = 701099996975822570854039960283603801308933_<42>
P98 = 22269944676906901137452796561787706700352178347453639664548712306567745747002959525951900206522943_<98>

Number: n N=15613458145631164347237085705726909851541504966835942770071043310541639583131603539496937230552694437403073893194338315775770015008095349819 ( 140 digits) SNFS difficulty: 153 digits. Divisors found: r1=701099996975822570854039960283603801308933 (pp42) r2=22269944676906901137452796561787706700352178347453639664548712306567745747002959525951900206522943 (pp98) Version: GGNFS-0.77.1-20051202-athlon Total time: 19.25 hours. Scaled time: 27.83 units (timescale=1.446). Factorization parameters were as follows: name: KA_3_9_152_7 n: 15613458145631164347237085705726909851541504966835942770071043310541639583131603539496937230552694437403073893194338315775770015008095349819 skew: 0.47 deg: 5 c5: 125 c0: -3 m: 2000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 900001) Primes: RFBsize:216816, AFBsize:216491, largePrimes:6596221 encountered Relations: rels:6125563, finalFF:526499 Max relations in full relation-set: 28 Initial matrix: 433372 x 526499 with sparse part having weight 29888782. Pruned matrix : 349897 x 352127 with weight 15831553. Total sieving time: 16.64 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.14 hours. Total square root time: 0.30 hours, sqrts: 6. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 19.25 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

May 30, 2007 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1-20060513-k8
4·10¹⁴⁸+3 = 4(0)₁₄₇3_<149> = 43 · 433 · 100065703 · 12687175129_<11> · 6739023729247306489_<19> · C108
C108 = P45 · P63
P45 = 653001312242351067783538309652220151840959811_<45>
P63 = 384540790042736112351657990250185253692610846424727214146899269_<63>

Number: 40003_148 N=251105640508617088508594586058925115736503829395097331809337690282772505242310817076184722144502554494278159 ( 108 digits) SNFS difficulty: 148 digits. Divisors found: r1=653001312242351067783538309652220151840959811 (pp45) r2=384540790042736112351657990250185253692610846424727214146899269 (pp63) Version: GGNFS-0.77.1-20060513-k8 Total time: 20.03 hours. Scaled time: 40.12 units (timescale=2.003). Factorization parameters were as follows: name: 40003_148 n: 251105640508617088508594586058925115736503829395097331809337690282772505242310817076184722144502554494278159 m: 200000000000000000000000000000 c5: 125 c0: 3 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, 3150001) Primes: RFBsize:114155, AFBsize:113877, largePrimes:2878785 encountered Relations: rels:2881700, finalFF:275946 Max relations in full relation-set: 28 Initial matrix: 228097 x 275946 with sparse part having weight 29748606. Pruned matrix : 213753 x 214957 with weight 21355785. Total sieving time: 19.28 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.52 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 20.03 hours. --------- CPU info (if available) ----------

May 30, 2007 (2nd)

By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp, GGNFS-0.77.1-20051202-athlon
4·10¹⁴⁶-3 = 3(9)₁₄₅7_<147> = 83 · 42777895789_<11> · 15924396733100297500381_<23> · C112
C112 = P54 · P59
P54 = 396348820700316782956965255363264113551018768822430003_<54>
P59 = 17849330111541476189358027901066221476707550990700167833117_<59>

Number: n N=7074560940000117910361767328829998654766660683366389419564365970920304578753086742163420558422550942946917809351 ( 112 digits) SNFS difficulty: 146 digits. Divisors found: r1=396348820700316782956965255363264113551018768822430003 (pp54) r2=17849330111541476189358027901066221476707550990700167833117 (pp59) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 9.64 hours. Scaled time: 12.58 units (timescale=1.305). Factorization parameters were as follows: name: KA_3_9_145_7 n: 7074560940000117910361767328829998654766660683366389419564365970920304578753086742163420558422550942946917809351 skew: 0.60 deg: 5 c5: 40 c0: -3 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 [100000, 1000001) Primes: RFBsize:183072, AFBsize:182506, largePrimes:6452273 encountered Relations: rels:5881816, finalFF:435332 Max relations in full relation-set: 28 Initial matrix: 365644 x 435332 with sparse part having weight 25318441. Pruned matrix : 305134 x 307026 with weight 14058892. Total sieving time: 7.61 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.77 hours. Total square root time: 0.09 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 9.64 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

4·10¹⁵²+3 = 4(0)₁₅₁3_<153> = 13 · 31 · 1051 · C147
C147 = P67 · P81
P67 = 2801114324800249062766187692606357600549569364661409619095961178167_<67>
P81 = 337148626424781873328036805457958920928175121942812922349685550558244211164690453_<81>

Number: n N=944391847065184286264056682398660852360861568682077567624358698911352298295608814009108659364943702441016826701735083921020509829938638139736939651 ( 147 digits) SNFS difficulty: 152 digits. Divisors found: r1=2801114324800249062766187692606357600549569364661409619095961178167 (pp67) r2=337148626424781873328036805457958920928175121942812922349685550558244211164690453 (pp81) Version: GGNFS-0.77.1-20051202-athlon Total time: 17.49 hours. Scaled time: 25.34 units (timescale=1.449). Factorization parameters were as follows: name: KA_4_0_151_3 n: 944391847065184286264056682398660852360861568682077567624358698911352298295608814009108659364943702441016826701735083921020509829938638139736939651 skew: 0.75 deg: 5 c5: 25 c0: 6 m: 2000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 800001) Primes: RFBsize:216816, AFBsize:215956, largePrimes:6769972 encountered Relations: rels:6408744, finalFF:619286 Max relations in full relation-set: 28 Initial matrix: 432836 x 619286 with sparse part having weight 33677825. Pruned matrix : 266552 x 268780 with weight 14872464. Total sieving time: 15.76 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.48 hours. Total square root time: 0.09 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 17.49 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

4·10¹⁵¹+3 = 4(0)₁₅₀3_<152> = 87523 · 4494503443_<10> · C138
C138 = P43 · P95
P43 = 1297415475912073088053509540386798385058609_<43>
P95 = 78374900853242505310466623601273918272208107442148395944232718006339250364736934925355798428203_<95>

Number: n N=101684809290071168164673608485184602435969068234105883657731058672297789123043221176110896404625443994231824114694450958074636842233549627 ( 138 digits) SNFS difficulty: 151 digits. Divisors found: r1=1297415475912073088053509540386798385058609 (pp43) r2=78374900853242505310466623601273918272208107442148395944232718006339250364736934925355798428203 (pp95) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 16.66 hours. Scaled time: 22.81 units (timescale=1.369). Factorization parameters were as follows: name: KA_4_0_150_3 n: 101684809290071168164673608485184602435969068234105883657731058672297789123043221176110896404625443994231824114694450958074636842233549627 skew: 0.60 deg: 5 c5: 40 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 700001) Primes: RFBsize:216816, AFBsize:215821, largePrimes:6287333 encountered Relations: rels:5832658, finalFF:518542 Max relations in full relation-set: 28 Initial matrix: 432703 x 518542 with sparse part having weight 27684554. Pruned matrix : 351235 x 353462 with weight 14649647. Total sieving time: 14.75 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.66 hours. Total square root time: 0.08 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 16.66 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

May 30, 2007

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹⁵³+3 = 4(0)₁₅₂3_<154> = 163 · 647531 · 11061581 · 4124679348155700834063553597_<28> · C111
C111 = P52 · P60
P52 = 3535740861654872658270519573725613482190542128854473_<52>
P60 = 234922167135062332183441254151884253123634863112124506309891_<60>

Number: 40003_153 N=830623905647955297761358148882626558774270445628540572480336272874132992508238565769278537971704421868179492443 ( 111 digits) SNFS difficulty: 153 digits. Divisors found: r1=3535740861654872658270519573725613482190542128854473 (pp52) r2=234922167135062332183441254151884253123634863112124506309891 (pp60) Version: GGNFS-0.77.1-20050930-nocona Total time: 17.10 hours. Scaled time: 15.97 units (timescale=0.934). Factorization parameters were as follows: n: 830623905647955297761358148882626558774270445628540572480336272874132992508238565769278537971704421868179492443 m: 2000000000000000000000000000000 c5: 125 c0: 3 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, 2200001) Primes: RFBsize:176302, AFBsize:175868, largePrimes:5638026 encountered Relations: rels:5620624, finalFF:535694 Max relations in full relation-set: 28 Initial matrix: 352235 x 535694 with sparse part having weight 48622419. Pruned matrix : 279893 x 281718 with weight 25069298. Total sieving time: 16.52 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.46 hours. Time per square root: 0.03 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: 17.10 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 29, 2007 (8th)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs
4·10¹⁵²-3 = 3(9)₁₅₁7_<153> = 21200771 · 25893612998221_<14> · 14503289669621063451952205056921_<32> · C101
C101 = P45 · P57
P45 = 230079279032884613931774793453258451457362123_<45>
P57 = 218359280476393118332391848988420792397153683310217125049_<57>

Number: 39997_152 N=50239945822147965823364715757449975132547131611251114455272136849140078848825124186413611002367119027 ( 101 digits) Divisors found: r1=230079279032884613931774793453258451457362123 (pp45) r2=218359280476393118332391848988420792397153683310217125049 (pp57) Version: GGNFS-0.77.1-20050930-nocona Total time: 4.32 hours. Scaled time: 4.04 units (timescale=0.935). Factorization parameters were as follows: name: 39997_152 n: 50239945822147965823364715757449975132547131611251114455272136849140078848825124186413611002367119027 skew: 2745.59 # norm 4.18e+13 c5: 253440 c4: -2237299026 c3: -1907163396717 c2: 18351442515410243 c1: 16149480465216217123 c0: -4732032708429412165896 # alpha -5.26 Y1: 20037749981 Y0: -11466639011392083421 # Murphy_E 3.20e-09 # M 9786743912553846833483490233928381167753400889953592353099544647107720629570548238023689159496745801 type: gnfs rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [750000, 1300001) Primes: RFBsize:114155, AFBsize:114153, largePrimes:3944606 encountered Relations: rels:3941658, finalFF:355357 Max relations in full relation-set: 28 Initial matrix: 228389 x 355357 with sparse part having weight 29022648. Pruned matrix : 163717 x 164922 with weight 11611115. Polynomial selection time: 0.28 hours. Total sieving time: 3.83 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.09 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000 total time: 4.32 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 29, 2007 (7th)

By Max Voznyy / GGNFS-0.77.1-20060513-pentium4
2·10¹⁵⁵-3 = 1(9)₁₅₄7_<156> = 7 · 67 · 71 · 343866401642039_<15> · 141423577541870006652967_<24> · C114
C114 = P46 · P69
P46 = 1176075110392218874344361392155876226533549449_<46>
P69 = 105015204394259862679542119957655122688478278199700532417643933576919_<69>

May 29, 2007 (6th)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹⁴⁵-3 = 3(9)₁₄₄7_<146> = 29 · 37 · 636458547278605123477_<21> · C122
C122 = P47 · P76
P47 = 22032652827179182252311595341228758697101383067_<47>
P76 = 2658418526818926672086758087119698387445371990728081899202841400303836244571_<76>

Number: 39997_145 N=58572012470742541478080301062763303277153080662009129442516557774603576611369036613001881755526790043397812934327370079257 ( 122 digits) SNFS difficulty: 145 digits. Divisors found: r1=22032652827179182252311595341228758697101383067 (pp47) r2=2658418526818926672086758087119698387445371990728081899202841400303836244571 (pp76) Version: GGNFS-0.77.1-20050930-nocona Total time: 9.31 hours. Scaled time: 8.69 units (timescale=0.933). Factorization parameters were as follows: n: 58572012470742541478080301062763303277153080662009129442516557774603576611369036613001881755526790043397812934327370079257 m: 100000000000000000000000000000 c5: 4 c0: -3 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, 1350001) Primes: RFBsize:114155, AFBsize:113917, largePrimes:2689998 encountered Relations: rels:2699548, finalFF:315804 Max relations in full relation-set: 28 Initial matrix: 228139 x 315804 with sparse part having weight 21287815. Pruned matrix : 191614 x 192818 with weight 10724400. Total sieving time: 9.13 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,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000 total time: 9.31 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 29, 2007 (5th)

By suberi / GMP-ECM 6.1.2 B1=3000000
2·10¹⁷³+3 = 2(0)₁₇₂3_<174> = 31 · 3164590541963_<13> · C160
C160 = P43 · C118
P43 = 1377280097548571230432695973091803101076339_<43>
C118 = [1480227622542794165404399819785920618847153787232185974759390499635827513314206276438905310385107334421379192165686509_<118>]

May 29, 2007 (4th)

By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp, GGNFS-0.77.1-20051202-athlon
4·10¹⁴⁴-3 = 3(9)₁₄₃7_<145> = 359 · 9311 · 8600737381_<10> · C129
C129 = P37 · P44 · P49
P37 = 1127069158597835253730690599540227387_<37>
P44 = 25704964961697827080699390888797399431064217_<44>
P49 = 4802484227003858903586540234824184542371863661547_<49>

Number: n N=139134082728901552207477531234965837137139548962918480744051676763860644141313152952523265954505770179676760121611692870007824513 ( 129 digits) SNFS difficulty: 145 digits. Divisors found: r1=1127069158597835253730690599540227387 (pp37) r2=25704964961697827080699390888797399431064217 (pp44) r3=4802484227003858903586540234824184542371863661547 (pp49) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 10.39 hours. Scaled time: 14.13 units (timescale=1.361). Factorization parameters were as follows: name: KA_3_9_143_7 n: 139134082728901552207477531234965837137139548962918480744051676763860644141313152952523265954505770179676760121611692870007824513 skew: 1.50 deg: 5 c5: 2 c0: -15 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 [100000, 1100001) Primes: RFBsize:183072, AFBsize:182991, largePrimes:6720704 encountered Relations: rels:6184111, finalFF:468239 Max relations in full relation-set: 28 Initial matrix: 366128 x 468238 with sparse part having weight 29402590. Pruned matrix : 281075 x 282969 with weight 14990558. Total sieving time: 8.64 hours. Total relation processing time: 0.18 hours. Matrix solve time: 1.31 hours. Total square root time: 0.25 hours, sqrts: 3. 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: 10.39 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

4·10¹⁴⁵+3 = 4(0)₁₄₄3_<146> = 15679 · 8391654179_<10> · 1630535804362988309_<19> · C114
C114 = P45 · P69
P45 = 646714525652426822605941812765336474593578059_<45>
P69 = 288304285235034063465342910556093561504177705697017827218911974846793_<69>

Number: n N=186450569069337016472379512674172687327990157379633781153481333472695354444304795726582573723536382949298211314787 ( 114 digits) SNFS difficulty: 145 digits. Divisors found: r1=646714525652426822605941812765336474593578059 (pp45) r2=288304285235034063465342910556093561504177705697017827218911974846793 (pp69) Version: GGNFS-0.77.1-20051202-athlon Total time: 7.95 hours. Scaled time: 11.52 units (timescale=1.449). Factorization parameters were as follows: name: KA_4_0_144_3 n: 186450569069337016472379512674172687327990157379633781153481333472695354444304795726582573723536382949298211314787 skew: 0.94 deg: 5 c5: 4 c0: 3 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 [100000, 900001) Primes: RFBsize:183072, AFBsize:182816, largePrimes:6481222 encountered Relations: rels:5947081, finalFF:465397 Max relations in full relation-set: 28 Initial matrix: 365955 x 465397 with sparse part having weight 26481654. Pruned matrix : 278114 x 280007 with weight 12854649. Total sieving time: 6.13 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.30 hours. Total square root time: 0.37 hours, sqrts: 9. 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: 7.95 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

May 29, 2007 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1-20060513-k8
4·10¹⁴⁶+3 = 4(0)₁₄₅3_<147> = 13 · 41023 · 2958721 · 248105437 · 1101807494113_<13> · 7014417751034503_<16> · C99
C99 = P41 · P58
P41 = 41503832743290556850451533494303423483207_<41>
P58 = 3185395578251891000053013244421171035550838420033010094357_<58>

Number: 40003_146 N=132206125300983790896326376581325564446111856146621668386739588502853251960027942344108792674962899 ( 99 digits) SNFS difficulty: 146 digits. Divisors found: r1=41503832743290556850451533494303423483207 (pp41) r2=3185395578251891000053013244421171035550838420033010094357 (pp58) Version: GGNFS-0.77.1-20060513-k8 Total time: 14.41 hours. Scaled time: 28.87 units (timescale=2.003). Factorization parameters were as follows: name: 40003_146 n: 132206125300983790896326376581325564446111856146621668386739588502853251960027942344108792674962899 m: 100000000000000000000000000000 c5: 40 c0: 3 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, 2450001) Primes: RFBsize:114155, AFBsize:113697, largePrimes:2764799 encountered Relations: rels:2738945, finalFF:275539 Max relations in full relation-set: 28 Initial matrix: 227918 x 275539 with sparse part having weight 25625759. Pruned matrix : 211958 x 213161 with weight 17651075. Total sieving time: 13.81 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.41 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 14.41 hours. --------- CPU info (if available) ----------

May 29, 2007 (2nd)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
(5·10¹⁷⁴+1)/3 = 1(6)₁₇₃7_<175> = C175
C175 = P38 · P137
P38 = 38957826032363776525856717580374065723_<38>
P137 = 42781305745400219407473710733596304514150377883882257718360293742320702825809015275337663456972351386349942222557906259254671065933070929_<137>

Number: 16667_174 N=1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 ( 175 digits) SNFS difficulty: 175 digits. Divisors found: r1=38957826032363776525856717580374065723 (pp38) r2=42781305745400219407473710733596304514150377883882257718360293742320702825809015275337663456972351386349942222557906259254671065933070929 (pp137) Version: GGNFS-0.77.1-20050930-nocona Total time: 137.22 hours. Scaled time: 127.48 units (timescale=0.929). Factorization parameters were as follows: n: 1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 m: 100000000000000000000000000000000000 c5: 1 c0: 2 skew: 1.15 type: snfs Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 49/49 Sieved algebraic special-q in [4500000, 6600001) Primes: RFBsize:602489, AFBsize:602700, largePrimes:10034680 encountered Relations: rels:10282311, finalFF:1497466 Max relations in full relation-set: 28 Initial matrix: 1205253 x 1497466 with sparse part having weight 66712191. Pruned matrix : 923325 x 929415 with weight 36490841. Total sieving time: 132.24 hours. Total relation processing time: 0.17 hours. Matrix solve time: 4.73 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,49,49,2.6,2.6,100000 total time: 137.22 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 29, 2007

By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp, GGNFS-0.77.1-20051202-athlon
4·10¹⁴¹-3 = 3(9)₁₄₀7_<142> = 7 · 52313 · C137
C137 = P62 · P75
P62 = 72534046490829353664593295091274835834185520668502881701648559_<62>
P75 = 150594953495731883967116548567354812204313653884473343476632001562146074013_<75>

Number: n N=10923261358143700964797059458042387715700276631593894989226933485530774923468900109505695115390602172090521066874936849895273231728797267 ( 137 digits) SNFS difficulty: 141 digits. Divisors found: r1=72534046490829353664593295091274835834185520668502881701648559 (pp62) r2=150594953495731883967116548567354812204313653884473343476632001562146074013 (pp75) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 7.74 hours. Scaled time: 10.58 units (timescale=1.366). Factorization parameters were as follows: name: KA_3_9_140_7 n: 10923261358143700964797059458042387715700276631593894989226933485530774923468900109505695115390602172090521066874936849895273231728797267 skew: 0.60 deg: 5 c5: 40 c0: -3 m: 10000000000000000000000000000 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, 700001) Primes: RFBsize:183072, AFBsize:182506, largePrimes:5965783 encountered Relations: rels:5451650, finalFF:451267 Max relations in full relation-set: 28 Initial matrix: 365644 x 451267 with sparse part having weight 21857445. Pruned matrix : 283591 x 285483 with weight 10333770. Total sieving time: 6.72 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.83 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 7.74 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

4·10¹⁴²+3 = 4(0)₁₄₁3_<143> = 19 · 397523109523_<12> · 1792722597263327053_<19> · C112
C112 = P51 · P61
P51 = 361944429343387970109181659326070203309043443208301_<51>
P61 = 8161857721768944819535587526816743204330570033059102272751923_<61>

Number: n N=2954138935487585358037504212441582467115017534237517833386470674579036800877959937028708758566992431307387312823 ( 112 digits) SNFS difficulty: 142 digits. Divisors found: r1=361944429343387970109181659326070203309043443208301 (pp51) r2=8161857721768944819535587526816743204330570033059102272751923 (pp61) Version: GGNFS-0.77.1-20051202-athlon Total time: 6.94 hours. Scaled time: 10.04 units (timescale=1.447). Factorization parameters were as follows: name: KA_4_0_141_3 n: 2954138935487585358037504212441582467115017534237517833386470674579036800877959937028708758566992431307387312823 skew: 0.75 deg: 5 c5: 25 c0: 6 m: 20000000000000000000000000000 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, 800001) Primes: RFBsize:183072, AFBsize:182381, largePrimes:6642527 encountered Relations: rels:6258535, finalFF:588785 Max relations in full relation-set: 28 Initial matrix: 365517 x 588785 with sparse part having weight 31133532. Pruned matrix : 183587 x 185478 with weight 13613993. Total sieving time: 5.76 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.93 hours. Total square root time: 0.10 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 6.94 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

May 28, 2007 (3rd)

By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(7·10¹⁶⁰-61)/9 = (7)₁₅₉1_<160> = 1087 · C157
C157 = P60 · P98
P60 = 133767292172935551579599522862258137018645605013343066361981_<60>
P98 = 53490425264281855146460077769801026058944569491640678743898434821351499978338309471009601998689593_<98>

Number: n N=7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733 ( 157 digits) SNFS difficulty: 160 digits. Divisors found: r1=133767292172935551579599522862258137018645605013343066361981 (pp60) r2=53490425264281855146460077769801026058944569491640678743898434821351499978338309471009601998689593 (pp98) Version: GGNFS-0.77.1-20051202-athlon Total time: 34.44 hours. Scaled time: 49.48 units (timescale=1.437). Factorization parameters were as follows: name: KA_7_159_1 n: 7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733 skew: 1.54 deg: 5 c5: 7 c0: -61 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1600001) Primes: RFBsize:250150, AFBsize:250502, largePrimes:7175624 encountered Relations: rels:6724740, finalFF:585888 Max relations in full relation-set: 28 Initial matrix: 500717 x 585888 with sparse part having weight 36048352. Pruned matrix : 426488 x 429055 with weight 21797147. Total sieving time: 30.15 hours. Total relation processing time: 0.20 hours. Matrix solve time: 4.01 hours. Total square root time: 0.07 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 34.44 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

May 28, 2007 (2nd)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹³⁸+3 = 4(0)₁₃₇3_<139> = 7 · 1033 · C135
C135 = P48 · P87
P48 = 930729119481891694801482963283168394796716926087_<48>
P87 = 594344609294641138185135993021839496344619029158623927721993187831394871362972952598299_<87>

Number: 40003_138 N=553173834877610289033328723551376019914258055593970405199834047849536716913290001382934587194025722583321808878440049785645138984926013 ( 135 digits) SNFS difficulty: 138 digits. Divisors found: r1=930729119481891694801482963283168394796716926087 (pp48) r2=594344609294641138185135993021839496344619029158623927721993187831394871362972952598299 (pp87) Version: GGNFS-0.77.1-20050930-nocona Total time: 4.68 hours. Scaled time: 4.37 units (timescale=0.934). Factorization parameters were as follows: n: 553173834877610289033328723551376019914258055593970405199834047849536716913290001382934587194025722583321808878440049785645138984926013 m: 2000000000000000000000000000 c5: 125 c0: 3 skew: 1 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [700000, 1550001) Primes: RFBsize:107126, AFBsize:107023, largePrimes:1652918 encountered Relations: rels:1714233, finalFF:241604 Max relations in full relation-set: 28 Initial matrix: 214214 x 241604 with sparse part having weight 12448402. Pruned matrix : 201680 x 202815 with weight 8746891. Total sieving time: 4.51 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000 total time: 4.68 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹³⁸-3 = 3(9)₁₃₇7_<139> = 167 · 61953817 · C129
C129 = P57 · P73
P57 = 234806247524789276541047560136279747605593670548390630143_<57>
P73 = 1646515424474759157709862360552930904493428048558253258347121490936014861_<73>

Number: 39997_138 N=386612108312603782474518587555742467131354168827475971306232718709990983848984480161415704893794803065494070892108722517002555123 ( 129 digits) SNFS difficulty: 138 digits. Divisors found: r1=234806247524789276541047560136279747605593670548390630143 (pp57) r2=1646515424474759157709862360552930904493428048558253258347121490936014861 (pp73) Version: GGNFS-0.77.1-20050930-nocona Total time: 4.94 hours. Scaled time: 4.61 units (timescale=0.934). Factorization parameters were as follows: n: 386612108312603782474518587555742467131354168827475971306232718709990983848984480161415704893794803065494070892108722517002555123 m: 2000000000000000000000000000 c5: 125 c0: -3 skew: 1 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [700000, 1600001) Primes: RFBsize:107126, AFBsize:107023, largePrimes:1685915 encountered Relations: rels:1768512, finalFF:259015 Max relations in full relation-set: 28 Initial matrix: 214214 x 259015 with sparse part having weight 14204838. Pruned matrix : 192969 x 194104 with weight 8814070. Total sieving time: 4.78 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.11 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000 total time: 4.94 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹³⁹+3 = 4(0)₁₃₈3_<140> = 730085207 · 4622218820599_<13> · 1090080139886653_<16> · C104
C104 = P40 · P64
P40 = 2443464119454710007355153216679458364521_<40>
P64 = 4450118210277028673112750346091921480847013205495714394729918167_<64>

Number: 40003_139 N=10873704174143929896811554488954462461135888027735618494324499305001323585745628849144582691257986153007 ( 104 digits) SNFS difficulty: 140 digits. Divisors found: r1=2443464119454710007355153216679458364521 (pp40) r2=4450118210277028673112750346091921480847013205495714394729918167 (pp64) Version: GGNFS-0.77.1-20050930-nocona Total time: 8.54 hours. Scaled time: 7.97 units (timescale=0.934). Factorization parameters were as follows: n: 10873704174143929896811554488954462461135888027735618494324499305001323585745628849144582691257986153007 m: 10000000000000000000000000000 c5: 2 c0: 15 skew: 1.5 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [700000, 1250001) Primes: RFBsize:107126, AFBsize:107113, largePrimes:1679573 encountered Relations: rels:1762335, finalFF:255346 Max relations in full relation-set: 28 Initial matrix: 214304 x 255346 with sparse part having weight 13522951. Pruned matrix : 192825 x 193960 with weight 8429277. Total sieving time: 8.39 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.10 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000 total time: 8.54 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 28, 2007

By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp
(14·10¹⁵⁹-41)/9 = 1(5)₁₅₈1_<160> = 3² · 11 · 5783 · 6871 · C150
C150 = P34 · P116
P34 = 6031459152120337884517237707176687_<34>
P116 = 65562393470958923411536676667369852579711360794342128936197039393056889008855481635744308817305722437678656721468939_<116>

Number: n N=395436898135329884560761905239269729221109523772888194939726864412661303745861547763429730960634179030786440951749566920750332476783936500229055425093 ( 150 digits) SNFS difficulty: 160 digits. Divisors found: r1=6031459152120337884517237707176687 (pp34) r2=65562393470958923411536676667369852579711360794342128936197039393056889008855481635744308817305722437678656721468939 (pp116) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 38.14 hours. Scaled time: 52.13 units (timescale=1.367). Factorization parameters were as follows: name: KA_1_5_158_1 n: 395436898135329884560761905239269729221109523772888194939726864412661303745861547763429730960634179030786440951749566920750332476783936500229055425093 skew: 1.96 deg: 5 c5: 7 c0: -205 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1600001) Primes: RFBsize:250150, AFBsize:250442, largePrimes:7155416 encountered Relations: rels:6677810, finalFF:563496 Max relations in full relation-set: 28 Initial matrix: 500657 x 563496 with sparse part having weight 34543217. Pruned matrix : 444914 x 447481 with weight 22819760. Total sieving time: 33.89 hours. Total relation processing time: 0.22 hours. Matrix solve time: 3.39 hours. Total square root time: 0.64 hours, sqrts: 5. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 38.14 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

May 27, 2007 (3rd)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona, Msieve 1.21
4·10¹²⁷-3 = 3(9)₁₂₆7_<128> = 37 · 1663 · 18719 · 5365901 · C112
C112 = P48 · P64
P48 = 705022162775505898789224106446296802990040895033_<48>
P64 = 9179899962009583566770141001685302094407984058465806768333958181_<64>

Number: 39997_127 N=6472032925278781041797362499390546042050955598537907195224264982188752618866909381403194723929818401764832614973 ( 112 digits) SNFS difficulty: 127 digits. Divisors found: r1=705022162775505898789224106446296802990040895033 (pp48) r2=9179899962009583566770141001685302094407984058465806768333958181 (pp64) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.86 hours. Scaled time: 1.74 units (timescale=0.934). Factorization parameters were as follows: n: 6472032925278781041797362499390546042050955598537907195224264982188752618866909381403194723929818401764832614973 m: 20000000000000000000000000 c5: 25 c0: -6 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, 850001) Primes: RFBsize:78498, AFBsize:78301, largePrimes:1560655 encountered Relations: rels:1638252, finalFF:247040 Max relations in full relation-set: 28 Initial matrix: 156863 x 247040 with sparse part having weight 11693537. Pruned matrix : 113199 x 114047 with weight 4653390. Total sieving time: 1.80 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,127,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 1.86 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²⁷+3 = 4(0)₁₂₆3_<128> = 17 · 43² · 59 · 11285195303_<11> · C112
C112 = P54 · P58
P54 = 521293731281094645703485420673506602610925860757394203_<54>
P58 = 3666321666068084664903157915264085011548958113765261075461_<58>

Number: 40003_127 N=1911230501381351344749672587619391998018934950167832705841037082931427635475944060798992580228159562795706952583 ( 112 digits) SNFS difficulty: 127 digits. Divisors found: r1=521293731281094645703485420673506602610925860757394203 (pp54) r2=3666321666068084664903157915264085011548958113765261075461 (pp58) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.62 hours. Scaled time: 1.51 units (timescale=0.931). Factorization parameters were as follows: n: 1911230501381351344749672587619391998018934950167832705841037082931427635475944060798992580228159562795706952583 m: 20000000000000000000000000 c5: 25 c0: 6 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:78301, largePrimes:1453042 encountered Relations: rels:1464297, finalFF:189090 Max relations in full relation-set: 28 Initial matrix: 156863 x 189090 with sparse part having weight 8244070. Pruned matrix : 135788 x 136636 with weight 4723501. Total sieving time: 1.55 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 1.62 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹³¹+3 = 4(0)₁₃₀3_<132> = 29 · 199 · 122709869 · C120
C120 = P47 · P74
P47 = 17745113024976168939376435372018500870859981957_<47>
P74 = 31831027271271917917211409577687106292138046864406391959013403689139371721_<74>

Number: 40003_131 N=564845176629818951808827035744745452246841772623803650887282390890456141189641461532135200682772613833908993808376037997 ( 120 digits) SNFS difficulty: 132 digits. Divisors found: r1=17745113024976168939376435372018500870859981957 (pp47) r2=31831027271271917917211409577687106292138046864406391959013403689139371721 (pp74) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.30 hours. Scaled time: 2.15 units (timescale=0.935). Factorization parameters were as follows: n: 564845176629818951808827035744745452246841772623803650887282390890456141189641461532135200682772613833908993808376037997 m: 200000000000000000000000000 c5: 5 c0: 12 skew: 1.19 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:78441, largePrimes:1508956 encountered Relations: rels:1522496, finalFF:190629 Max relations in full relation-set: 28 Initial matrix: 157005 x 190629 with sparse part having weight 9748353. Pruned matrix : 142097 x 142946 with weight 5737145. Total sieving time: 2.22 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,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 2.30 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹³²+3 = 4(0)₁₃₁3_<133> = 7 · 367699 · 75669648215166599173_<20> · C107
C107 = P49 · P59
P49 = 1112013696695243458462948812197952325199534586937_<49>
P59 = 18468756317073684462309916330756661620043623970152551745171_<59>

Number: 40003_132 N=20537509985512737778662764382555381457009554393279769385933028106871931241847355158296348401924213969431227 ( 107 digits) SNFS difficulty: 132 digits. Divisors found: r1=1112013696695243458462948812197952325199534586937 (pp49) r2=18468756317073684462309916330756661620043623970152551745171 (pp59) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.52 hours. Scaled time: 2.35 units (timescale=0.934). Factorization parameters were as follows: n: 20537509985512737778662764382555381457009554393279769385933028106871931241847355158296348401924213969431227 m: 200000000000000000000000000 c5: 25 c0: 6 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, 1000001) Primes: RFBsize:78498, AFBsize:78301, largePrimes:1515396 encountered Relations: rels:1524246, finalFF:186816 Max relations in full relation-set: 28 Initial matrix: 156863 x 186816 with sparse part having weight 9456577. Pruned matrix : 145417 x 146265 with weight 5828837. Total sieving time: 2.43 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.05 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000 total time: 2.52 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹³³-3 = 3(9)₁₃₂7_<134> = 19 · 37 · 607 · 275521 · 267823455452010358133437_<24> · C100
C100 = P41 · P59
P41 = 19092348197612899949161309484911390214209_<41>
P59 = 66535483009793897303525410667693774065268754524280636711649_<59>

Number: 39997_133 N=1270318609119342242678692386755510163774768851318400499046674123124105513718087324363376691475620641 ( 100 digits) SNFS difficulty: 133 digits. Divisors found: r1=19092348197612899949161309484911390214209 (pp41) r2=66535483009793897303525410667693774065268754524280636711649 (pp59) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.94 hours. Scaled time: 2.75 units (timescale=0.934). Factorization parameters were as follows: n: 1270318609119342242678692386755510163774768851318400499046674123124105513718087324363376691475620641 m: 200000000000000000000000000 c5: 125 c0: -3 skew: 1 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [700000, 1200001) Primes: RFBsize:107126, AFBsize:107023, largePrimes:1614997 encountered Relations: rels:1684678, finalFF:247912 Max relations in full relation-set: 28 Initial matrix: 214214 x 247912 with sparse part having weight 10516119. Pruned matrix : 188686 x 189821 with weight 6629000. Total sieving time: 2.82 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,133,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000 total time: 2.94 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹³⁶-3 = 3(9)₁₃₅7_<137> = 23 · 37 · 2293 · C131
C131 = P35 · P97
P35 = 15081196794111057038592942294865571_<35>
P97 = 1359222545014331678259321655350929515123649897436325733988274979310778665003786733637386489826449_<97>

Number: 39997_136 N=20498702688353610820855175128104080113029846623581810066195435656365897743246574282430100705001632209201560156261610593319575287379 ( 131 digits) SNFS difficulty: 137 digits. Divisors found: r1=15081196794111057038592942294865571 (pp35) r2=1359222545014331678259321655350929515123649897436325733988274979310778665003786733637386489826449 (pp97) Version: GGNFS-0.77.1-20050930-nocona Total time: 3.84 hours. Scaled time: 3.58 units (timescale=0.932). Factorization parameters were as follows: n: 20498702688353610820855175128104080113029846623581810066195435656365897743246574282430100705001632209201560156261610593319575287379 m: 2000000000000000000000000000 c5: 5 c0: -12 skew: 1.19 type: snfs Factor base limits: 1400000/1400000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [700000, 1400001) Primes: RFBsize:107126, AFBsize:106758, largePrimes:1667272 encountered Relations: rels:1757157, finalFF:266622 Max relations in full relation-set: 28 Initial matrix: 213950 x 266622 with sparse part having weight 12122124. Pruned matrix : 185668 x 186801 with weight 7034894. Total sieving time: 3.71 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,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,44,44,2.3,2.3,50000 total time: 3.84 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹⁵¹-3 = 3(9)₁₅₀7_<152> = 17² · 19 · 37 · 813601 · 94455601 · 97616772977_<11> · 196347596050337_<15> · 5853974215361273_<16> · C92
C92 = P43 · P50
P43 = 1910611134746116246492096414368671609087657_<43>
P50 = 11950731510953569288974090598473301504132412787619_<50>

Sun May 27 21:42:43 2007 Sun May 27 21:42:43 2007 Sun May 27 21:42:43 2007 Msieve v. 1.21 Sun May 27 21:42:43 2007 random seeds: 82914263 85d6b2cd Sun May 27 21:42:43 2007 factoring 22833200693189167378341858058780999507653626440332814574305576940890044459677406916695318683 (92 digits) Sun May 27 21:42:43 2007 commencing quadratic sieve (92-digit input) Sun May 27 21:42:43 2007 using multiplier of 3 Sun May 27 21:42:43 2007 using 32kb Intel Core sieve core Sun May 27 21:42:43 2007 sieve interval: 36 blocks of size 32768 Sun May 27 21:42:43 2007 processing polynomials in batches of 6 Sun May 27 21:42:43 2007 using a sieve bound of 1787717 (67004 primes) Sun May 27 21:42:43 2007 using large prime bound of 187710285 (27 bits) Sun May 27 21:42:43 2007 using double large prime bound of 780330238063215 (42-50 bits) Sun May 27 21:42:43 2007 using trial factoring cutoff of 50 bits Sun May 27 21:42:43 2007 polynomial 'A' values have 12 factors Sun May 27 23:02:34 2007 67494 relations (17641 full + 49853 combined from 828022 partial), need 67100 Sun May 27 23:02:35 2007 begin with 845663 relations Sun May 27 23:02:35 2007 reduce to 168237 relations in 10 passes Sun May 27 23:02:35 2007 attempting to read 168237 relations Sun May 27 23:02:36 2007 recovered 168237 relations Sun May 27 23:02:36 2007 recovered 147912 polynomials Sun May 27 23:02:36 2007 attempting to build 67494 cycles Sun May 27 23:02:36 2007 found 67493 cycles in 5 passes Sun May 27 23:02:37 2007 distribution of cycle lengths: Sun May 27 23:02:37 2007 length 1 : 17641 Sun May 27 23:02:37 2007 length 2 : 12653 Sun May 27 23:02:37 2007 length 3 : 11612 Sun May 27 23:02:37 2007 length 4 : 9122 Sun May 27 23:02:37 2007 length 5 : 6485 Sun May 27 23:02:37 2007 length 6 : 4245 Sun May 27 23:02:37 2007 length 7 : 2509 Sun May 27 23:02:37 2007 length 9+: 3226 Sun May 27 23:02:37 2007 largest cycle: 19 relations Sun May 27 23:02:37 2007 matrix is 67004 x 67493 with weight 4127294 (avg 61.15/col) Sun May 27 23:02:37 2007 filtering completed in 4 passes Sun May 27 23:02:37 2007 matrix is 65382 x 65446 with weight 3919902 (avg 59.90/col) Sun May 27 23:02:38 2007 saving the first 48 matrix rows for later Sun May 27 23:02:38 2007 matrix is 65334 x 65446 with weight 3070899 (avg 46.92/col) Sun May 27 23:02:38 2007 matrix includes 32 packed rows Sun May 27 23:02:38 2007 using block size 26178 for processor cache size 4096 kB Sun May 27 23:02:58 2007 lanczos halted after 1034 iterations Sun May 27 23:02:58 2007 recovered 18 nontrivial dependencies Sun May 27 23:02:59 2007 prp43 factor: 1910611134746116246492096414368671609087657 Sun May 27 23:02:59 2007 prp50 factor: 11950731510953569288974090598473301504132412787619 Sun May 27 23:02:59 2007 elapsed time 01:20:16

May 27, 2007 (2nd)

By suberi / GMP-ECM 6.1.2 B1=3000000, Msieve v. 1.21
4·10¹⁴⁸-3 = 3(9)₁₄₇7_<149> = 37 · 157 · 373 · 2389 · 2917 · 201743 · 343164397202925323_<18> · C113
C113 = P32 · P34 · P47
P32 = 64183606304071153348418983401419_<32>
P34 = 6908604692602464799988145292045693_<34>
P47 = 86294287414556460254625701135729827536592888259_<47>

Sat May 19 13:39:49 2007 Sat May 19 13:39:49 2007 Sat May 19 13:39:49 2007 Msieve v. 1.21 Sat May 19 13:39:49 2007 random seeds: ab5a05f8 8d5d6b6c Sat May 19 13:39:49 2007 factoring 13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791 (107 digits) Sat May 19 13:39:49 2007 commencing quadratic sieve (106-digit input) Sat May 19 13:39:50 2007 using multiplier of 11 Sat May 19 13:39:50 2007 using 64kb Pentium 4 sieve core Sat May 19 13:39:50 2007 sieve interval: 21 blocks of size 65536 Sat May 19 13:39:50 2007 processing polynomials in batches of 5 Sat May 19 13:39:50 2007 using a sieve bound of 4662979 (163333 primes) Sat May 19 13:39:50 2007 using large prime bound of 699446850 (29 bits) Sat May 19 13:39:50 2007 using double large prime bound of 8328340221930300 (45-53 bits) Sat May 19 13:39:50 2007 using trial factoring cutoff of 53 bits Sat May 19 13:39:50 2007 polynomial 'A' values have 14 factors Sat May 19 13:42:08 2007 18 relations (18 full + 0 combined from 995 partial), need 163429 Sat May 19 13:42:08 2007 c107 factor: 13388873082149435308539000672775350680618901926900711188810262897346981830451724894509157440592356995091791 Sat May 19 13:42:08 2007 elapsed time 00:02:19 Sun May 27 16:46:55 2007 Sun May 27 16:46:55 2007 Sun May 27 16:46:55 2007 Msieve v. 1.21 Sun May 27 16:46:55 2007 random seeds: 8d7ccf94 2a377ae6 Sun May 27 16:46:55 2007 factoring 79 (2 digits) Sun May 27 16:46:55 2007 p2 factor: 79 Sun May 27 16:46:55 2007 elapsed time 00:00:00 Sun May 27 16:47:44 2007 Sun May 27 16:47:44 2007 Sun May 27 16:47:44 2007 Msieve v. 1.21 Sun May 27 16:47:44 2007 random seeds: 48e51ae0 131d458c Sun May 27 16:47:44 2007 factoring 5538678569706254011261695426721774138491854232285156975782913679145001209039521 (79 digits) Sun May 27 16:47:45 2007 commencing quadratic sieve (79-digit input) Sun May 27 16:47:45 2007 using multiplier of 1 Sun May 27 16:47:45 2007 using 64kb Pentium 4 sieve core Sun May 27 16:47:45 2007 sieve interval: 6 blocks of size 65536 Sun May 27 16:47:45 2007 processing polynomials in batches of 17 Sun May 27 16:47:45 2007 using a sieve bound of 1168879 (45267 primes) Sun May 27 16:47:45 2007 using large prime bound of 116887900 (26 bits) Sun May 27 16:47:45 2007 using trial factoring cutoff of 27 bits Sun May 27 16:47:45 2007 polynomial 'A' values have 10 factors Sun May 27 16:59:38 2007 45549 relations (24447 full + 21102 combined from 238802 partial), need 45363 Sun May 27 16:59:38 2007 begin with 263249 relations Sun May 27 16:59:39 2007 reduce to 64059 relations in 2 passes Sun May 27 16:59:39 2007 attempting to read 64059 relations Sun May 27 16:59:40 2007 recovered 64059 relations Sun May 27 16:59:40 2007 recovered 47555 polynomials Sun May 27 16:59:40 2007 attempting to build 45549 cycles Sun May 27 16:59:40 2007 found 45549 cycles in 1 passes Sun May 27 16:59:40 2007 distribution of cycle lengths: Sun May 27 16:59:40 2007 length 1 : 24447 Sun May 27 16:59:40 2007 length 2 : 21102 Sun May 27 16:59:40 2007 largest cycle: 2 relations Sun May 27 16:59:40 2007 matrix is 45267 x 45549 with weight 1349433 (avg 29.63/col) Sun May 27 16:59:40 2007 filtering completed in 4 passes Sun May 27 16:59:40 2007 matrix is 37509 x 37573 with weight 1083366 (avg 28.83/col) Sun May 27 16:59:41 2007 saving the first 48 matrix rows for later Sun May 27 16:59:41 2007 matrix is 37461 x 37573 with weight 738243 (avg 19.65/col) Sun May 27 16:59:41 2007 matrix includes 32 packed rows Sun May 27 17:00:24 2007 lanczos halted after 593 iterations Sun May 27 17:00:25 2007 recovered 12 nontrivial dependencies Sun May 27 17:00:25 2007 prp32 factor: 64183606304071153348418983401419 Sun May 27 17:00:25 2007 prp47 factor: 86294287414556460254625701135729827536592888259 Sun May 27 17:00:25 2007 elapsed time 00:12:41

May 27, 2007

By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(7·10¹⁶⁰-43)/9 = (7)₁₅₉3_<160> = 3² · 67 · C158
C158 = P49 · P109
P49 = 7569214186545777793665631319644598306342954210369_<49>
P109 = 1704069972394272056243610341411329237778860200857566090684279076415414313907033462129726700942953362876790039_<109>

Number: n N=12898470609913395983047724341256679565137276580062649714391007923346231803943246729316381057674590012898470609913395983047724341256679565137276580062649714391 ( 158 digits) SNFS difficulty: 160 digits. Divisors found: r1=7569214186545777793665631319644598306342954210369 (pp49) r2=1704069972394272056243610341411329237778860200857566090684279076415414313907033462129726700942953362876790039 (pp109) Version: GGNFS-0.77.1-20051202-athlon Total time: 41.13 hours. Scaled time: 59.28 units (timescale=1.441). Factorization parameters were as follows: name: KA_7_159_3 n: 12898470609913395983047724341256679565137276580062649714391007923346231803943246729316381057674590012898470609913395983047724341256679565137276580062649714391 skew: 1.44 deg: 5 c5: 7 c0: -43 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1900001) Primes: RFBsize:250150, AFBsize:250336, largePrimes:7244344 encountered Relations: rels:6806415, finalFF:586324 Max relations in full relation-set: 28 Initial matrix: 500553 x 586324 with sparse part having weight 39447333. Pruned matrix : 427427 x 429993 with weight 24457695. Total sieving time: 36.21 hours. Total relation processing time: 0.27 hours. Matrix solve time: 4.58 hours. Total square root time: 0.08 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 41.13 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

May 26, 2007 (6th)

By Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp
2·10¹⁶⁰+3 = 2(0)₁₅₉3_<161> = 269741 · C155
C155 = P60 · P96
P60 = 300244161062830630302818080353294695395582491459143920704439_<60>
P96 = 246949676822489123478546797860086337445136656832298441810501694114885422418729064737492466489097_<96>

Number: n N=74145198542305396658275901698295772611505110457809528399464671666524555036127247989738304521744933102494615204955865070567692712639161269514089441353001583 ( 155 digits) SNFS difficulty: 160 digits. Divisors found: r1=300244161062830630302818080353294695395582491459143920704439 (pp60) r2=246949676822489123478546797860086337445136656832298441810501694114885422418729064737492466489097 (pp96) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 32.43 hours. Scaled time: 44.17 units (timescale=1.362). Factorization parameters were as follows: name: KA_2_0_159_3 n: 74145198542305396658275901698295772611505110457809528399464671666524555036127247989738304521744933102494615204955865070567692712639161269514089441353001583 skew: 1.08 deg: 5 c5: 2 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 3500000 alim: 3500000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1300001) Primes: RFBsize:250150, AFBsize:250246, largePrimes:6994412 encountered Relations: rels:6520555, finalFF:565351 Max relations in full relation-set: 28 Initial matrix: 500461 x 565351 with sparse part having weight 33244971. Pruned matrix : 440405 x 442971 with weight 21278744. Total sieving time: 28.78 hours. Total relation processing time: 0.19 hours. Matrix solve time: 3.24 hours. Total square root time: 0.22 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 32.43 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

May 26, 2007 (5th)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹²²+3 = 4(0)₁₂₁3_<123> = 13 · 31 · 751 · C118
C118 = P36 · P82
P36 = 140302808583575220937569935644682059_<36>
P82 = 9419950992110895877545261702594558645655155927342812397620420321479963685240471389_<82>

Number: 40003_122 N=1321645580912794520457421535553918183530313593455211083319841534694848555936997155157887085209794715400144720191109951 ( 118 digits) SNFS difficulty: 122 digits. Divisors found: r1=140302808583575220937569935644682059 (pp36) r2=9419950992110895877545261702594558645655155927342812397620420321479963685240471389 (pp82) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.17 hours. Scaled time: 1.08 units (timescale=0.927). Factorization parameters were as follows: n: 1321645580912794520457421535553918183530313593455211083319841534694848555936997155157887085209794715400144720191109951 m: 2000000000000000000000000 c5: 25 c0: 6 skew: 1 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 480001) Primes: RFBsize:49098, AFBsize:49121, largePrimes:2076587 encountered Relations: rels:2174816, finalFF:224976 Max relations in full relation-set: 28 Initial matrix: 98283 x 224976 with sparse part having weight 21075220. Pruned matrix : 75996 x 76551 with weight 4950199. Total sieving time: 1.11 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,122,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 1.17 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²⁵-3 = 3(9)₁₂₄7_<126> = 13 · 347 · 1919134447_<10> · 3973122502709_<13> · C101
C101 = P44 · P57
P44 = 14176781570225689422590837043552305747546179_<44>
P57 = 820298957620154295413668754748555247326186604713123112531_<57>

Number: 39997_125 N=11629199144464747273873992857836226276685046458776844818521404624591944271991616740778007884136069049 ( 101 digits) SNFS difficulty: 125 digits. Divisors found: r1=14176781570225689422590837043552305747546179 (pp44) r2=820298957620154295413668754748555247326186604713123112531 (pp57) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.38 hours. Scaled time: 1.29 units (timescale=0.935). Factorization parameters were as follows: n: 11629199144464747273873992857836226276685046458776844818521404624591944271991616740778007884136069049 m: 10000000000000000000000000 c5: 4 c0: -3 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, 750001) Primes: RFBsize:78498, AFBsize:78486, largePrimes:1470046 encountered Relations: rels:1503361, finalFF:207858 Max relations in full relation-set: 28 Initial matrix: 157051 x 207858 with sparse part having weight 9056955. Pruned matrix : 123990 x 124839 with weight 4351782. Total sieving time: 1.32 hours. Total relation processing time: 0.02 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: 1.38 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 26, 2007 (4th)

By suberi / GMP-ECM 6.1.2 B1=1000000
4·10¹⁵⁴-3 = 3(9)₁₅₃7_<155> = 37 · 853 · C151
C151 = P32 · P119
P32 = 13650357197160249109048459378477_<32>
P119 = 92846432266895293000127005136899584386269985976279393784014840396257054232599914470996487908411988310488572830000344201_<119>
4·10¹³⁵+3 = 4(0)₁₃₄3_<136> = 11328523 · C129
C129 = P30 · P100
P30 = 167209353214438072108071764699_<30>
P100 = 2111670406352169953615950969505952926778362473341224768552933956228839776053527035084886239827494539_<100>

May 26, 2007 (3rd)

By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
3·10¹⁷⁰-1 = 2(9)_170<171> = 13 · 5783 · C166
C166 = P54 · P113
P54 = 173013747441272949252140271307882198468644836377812061_<54>
P113 = 23064502808650629916626080541133445738284945384523360813873885767965239712427790623664167124028559969692067948321_<113>

Number: n N=3990476063794410673193311962117080567711728009151491772968515143856662099788504768618896234320754466007794729911278415514970936032668697375596908711209247263198499581 ( 166 digits) SNFS difficulty: 170 digits. Divisors found: r1=173013747441272949252140271307882198468644836377812061 (pp54) r2=23064502808650629916626080541133445738284945384523360813873885767965239712427790623664167124028559969692067948321 (pp113) Version: GGNFS-0.77.1-20051202-athlon Total time: 83.81 hours. Scaled time: 110.71 units (timescale=1.321). Factorization parameters were as follows: name: KA_2_9_170 n: 3990476063794410673193311962117080567711728009151491772968515143856662099788504768618896234320754466007794729911278415514970936032668697375596908711209247263198499581 skew: 0.80 deg: 5 c5: 3 c0: -1 m: 10000000000000000000000000000000000 type: snfs rlim: 5000000 alim: 5000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 3300001) Primes: RFBsize:348513, AFBsize:348501, largePrimes:7962339 encountered Relations: rels:7605195, finalFF:792642 Max relations in full relation-set: 48 Initial matrix: 697079 x 792642 with sparse part having weight 44278165. Pruned matrix : 611079 x 614628 with weight 28486101. Total sieving time: 74.99 hours. Total relation processing time: 0.34 hours. Matrix solve time: 8.38 hours. Total square root time: 0.10 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000 total time: 83.81 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

May 26, 2007 (2nd)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹¹⁹-3 = 3(9)₁₁₈7_<120> = 13 · 17 · 85819 · 2138429 · C106
C106 = P44 · P63
P44 = 25985319399001881232057951389966634997820353_<44>
P63 = 379543338404314085166151446656730517304702047891649789900943119_<63>

Number: 39997_119 N=9862554874199558511652521413589225413570302672368196255395589043914114001064063424236049653226344033501007 ( 106 digits) SNFS difficulty: 120 digits. Divisors found: r1=25985319399001881232057951389966634997820353 (pp44) r2=379543338404314085166151446656730517304702047891649789900943119 (pp63) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.95 hours. Scaled time: 0.89 units (timescale=0.934). Factorization parameters were as follows: n: 9862554874199558511652521413589225413570302672368196255395589043914114001064063424236049653226344033501007 m: 1000000000000000000000000 c5: 2 c0: -15 skew: 1.5 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 450001) Primes: RFBsize:49098, AFBsize:49146, largePrimes:1924432 encountered Relations: rels:1892891, finalFF:125989 Max relations in full relation-set: 28 Initial matrix: 98309 x 125989 with sparse part having weight 10775752. Pruned matrix : 90888 x 91443 with weight 6048950. Total sieving time: 0.89 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 0.95 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²⁰-3 = 3(9)₁₁₉7_<121> = 311 · 2251511 · 9660397 · C105
C105 = P35 · P71
P35 = 14957350687977701210646823592952109_<35>
P71 = 39534466142745973691646463023061454844518637076105956734312901955956709_<71>

Number: 39997_120 N=591330874359032625073270746495953718723219748632694947903328381586309125199738351352363557080262714249281 ( 105 digits) SNFS difficulty: 120 digits. Divisors found: r1=14957350687977701210646823592952109 (pp35) r2=39534466142745973691646463023061454844518637076105956734312901955956709 (pp71) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.00 hours. Scaled time: 0.94 units (timescale=0.934). Factorization parameters were as follows: n: 591330874359032625073270746495953718723219748632694947903328381586309125199738351352363557080262714249281 m: 1000000000000000000000000 c5: 4 c0: -3 skew: 1 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 450001) Primes: RFBsize:49098, AFBsize:49031, largePrimes:2089674 encountered Relations: rels:2224684, finalFF:262044 Max relations in full relation-set: 28 Initial matrix: 98196 x 262044 with sparse part having weight 24274221. Pruned matrix : 70560 x 71114 with weight 4834916. Total sieving time: 0.95 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 1.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²⁰+3 = 4(0)₁₁₉3_<121> = 7 · C120
C120 = P43 · P78
P43 = 5612274364620889506308759859628576707925837_<43>
P78 = 101817647232428482152474928700295254049026878546996061124502636639930949090617_<78>

Number: 40003_120 N=571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429 ( 120 digits) SNFS difficulty: 120 digits. Divisors found: r1=5612274364620889506308759859628576707925837 (pp43) r2=101817647232428482152474928700295254049026878546996061124502636639930949090617 (pp78) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.81 hours. Scaled time: 0.76 units (timescale=0.927). Factorization parameters were as follows: n: 571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429 m: 1000000000000000000000000 c5: 4 c0: 3 skew: 1 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 420001) Primes: RFBsize:49098, AFBsize:49031, largePrimes:1870291 encountered Relations: rels:1811935, finalFF:113613 Max relations in full relation-set: 28 Initial matrix: 98196 x 113613 with sparse part having weight 9031756. Pruned matrix : 93407 x 93961 with weight 6170340. Total sieving time: 0.75 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 0.81 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²¹+3 = 4(0)₁₂₀3_<122> = 6961 · 170977595876812450723_<21> · C98
C98 = P41 · P57
P41 = 34585230048100307623332840382749782681057_<41>
P57 = 971758800986673748132478129675100273134597913849135461393_<57>

Number: 40003_121 N=33608501683390235777263910364754662400497207736229051883674130597789461249450276268990816255932401 ( 98 digits) SNFS difficulty: 122 digits. Divisors found: r1=34585230048100307623332840382749782681057 (pp41) r2=971758800986673748132478129675100273134597913849135461393 (pp57) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.97 hours. Scaled time: 0.91 units (timescale=0.929). Factorization parameters were as follows: n: 33608501683390235777263910364754662400497207736229051883674130597789461249450276268990816255932401 m: 2000000000000000000000000 c5: 5 c0: 12 skew: 1.19 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 450001) Primes: RFBsize:49098, AFBsize:49316, largePrimes:1946453 encountered Relations: rels:1937498, finalFF:144532 Max relations in full relation-set: 28 Initial matrix: 98480 x 144532 with sparse part having weight 12447254. Pruned matrix : 87105 x 87661 with weight 5405410. Total sieving time: 0.92 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,122,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 0.97 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²²-3 = 3(9)₁₂₁7_<123> = 31391 · 2684288903_<10> · 58006487029_<11> · C98
C98 = P48 · P51
P48 = 344007467969662880678387556467819763326309749859_<48>
P51 = 237892718439068787805376755582318249071248333701499_<51>

Number: 39997_122 N=81836871718643986185728151933388840266271776853244320350768896586357955470594077763743698263338641 ( 98 digits) SNFS difficulty: 122 digits. Divisors found: r1=344007467969662880678387556467819763326309749859 (pp48) r2=237892718439068787805376755582318249071248333701499 (pp51) Version: GGNFS-0.77.1-20050930-nocona Total time: 1.16 hours. Scaled time: 1.08 units (timescale=0.932). Factorization parameters were as follows: n: 81836871718643986185728151933388840266271776853244320350768896586357955470594077763743698263338641 m: 2000000000000000000000000 c5: 25 c0: -6 skew: 1 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 480001) Primes: RFBsize:49098, AFBsize:49121, largePrimes:2037427 encountered Relations: rels:2086785, finalFF:182743 Max relations in full relation-set: 28 Initial matrix: 98283 x 182743 with sparse part having weight 16947217. Pruned matrix : 82061 x 82616 with weight 5173414. Total sieving time: 1.10 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,122,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 1.16 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 26, 2007

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona
4·10¹¹³+3 = 4(0)₁₁₂3_<114> = 151 · 2521 · 9341 · 9946673530747_<13> · C92
C92 = P39 · P53
P39 = 213150967517384807318120724304052423803_<39>
P53 = 53058095146024700376361296298594029717899946692445353_<53>

Number: 40003_113 N=11309384315004623424899180326922060659645124717317858332549892278146483153678074568773937459 ( 92 digits) SNFS difficulty: 113 digits. Divisors found: r1=213150967517384807318120724304052423803 (pp39) r2=53058095146024700376361296298594029717899946692445353 (pp53) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.67 hours. Scaled time: 0.63 units (timescale=0.935). Factorization parameters were as follows: n: 11309384315004623424899180326922060659645124717317858332549892278146483153678074568773937459 m: 20000000000000000000000 c5: 125 c0: 3 skew: 1 type: snfs Factor base limits: 360000/360000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [180000, 300001) Primes: RFBsize:30757, AFBsize:30524, largePrimes:966239 encountered Relations: rels:870153, finalFF:70742 Max relations in full relation-set: 28 Initial matrix: 61346 x 70742 with sparse part having weight 3221294. Pruned matrix : 57493 x 57863 with weight 2097058. Total sieving time: 0.65 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000 total time: 0.67 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 25, 2007 (4th)

By Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona, GMP-ECM 6.1.2
4·10¹¹⁸+3 = 4(0)₁₁₇3_<119> = C119
C119 = P39 · P81
P39 = 211621276763532507670415744223334748617_<39>
P81 = 189016910831212661627315911618686407924531685546937547055501093534558399895914859_<81>

Number: 40003_118 N=40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 ( 119 digits) SNFS difficulty: 118 digits. Divisors found: r1=211621276763532507670415744223334748617 (pp39) r2=189016910831212661627315911618686407924531685546937547055501093534558399895914859 (pp81) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.96 hours. Scaled time: 0.90 units (timescale=0.935). Factorization parameters were as follows: n: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 m: 200000000000000000000000 c5: 125 c0: 3 skew: 1 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [300000, 420001) Primes: RFBsize:49098, AFBsize:48756, largePrimes:1908722 encountered Relations: rels:1884500, finalFF:138422 Max relations in full relation-set: 28 Initial matrix: 97919 x 138422 with sparse part having weight 11276802. Pruned matrix : 86646 x 87199 with weight 5081607. Total sieving time: 0.90 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,118,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000 total time: 0.96 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹²⁹+3 = 4(0)₁₂₈3_<130> = C130
C130 = P52 · P79
P52 = 2125328766779684187720000305302944444700439100557051_<52>
P79 = 1882061760289836591422460816044047312356413460440607394774696364308476485811353_<79>

Number: 40003_129 N=4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 ( 130 digits) SNFS difficulty: 130 digits. Divisors found: r1=2125328766779684187720000305302944444700439100557051 (pp52) r2=1882061760289836591422460816044047312356413460440607394774696364308476485811353 (pp79) Version: GGNFS-0.77.1-20050930-nocona Total time: 2.58 hours. Scaled time: 2.37 units (timescale=0.920). Factorization parameters were as follows: n: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 m: 100000000000000000000000000 c5: 2 c0: 15 skew: 1.5 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, 1000001) Primes: RFBsize:78498, AFBsize:78671, largePrimes:1535768 encountered Relations: rels:1549847, finalFF:192091 Max relations in full relation-set: 28 Initial matrix: 157234 x 192091 with sparse part having weight 9975542. Pruned matrix : 143749 x 144599 with weight 5929322. Total sieving time: 2.49 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.05 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: 2.58 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹⁷⁴-3 = 3(9)₁₇₃7_<175> = C175
C175 = P32 · C143
P32 = 60245455742914874964935791279271_<32>
C143 = [66395049231085237918736844489235035302968882127983995400674751551693234252075026857441283507447362557455506331177428848643832758876913437458107_<143>]
4·10¹⁰⁹+3 = 4(0)₁₀₈3_<110> = 157 · 659 · 3015622139_<10> · C96
C96 = P46 · P50
P46 = 8789691551616868774948328182836667117193493269_<46>
P50 = 14585602253855018384156891160085996096225659769091_<50>

Number: 40003_109 N=128202944905953414864392618133593516660075229232730226022631615760351226868770194151050202748479 ( 96 digits) SNFS difficulty: 110 digits. Divisors found: r1=8789691551616868774948328182836667117193493269 (pp46) r2=14585602253855018384156891160085996096225659769091 (pp50) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.62 hours. Scaled time: 0.58 units (timescale=0.931). Factorization parameters were as follows: n: 128202944905953414864392618133593516660075229232730226022631615760351226868770194151050202748479 m: 10000000000000000000000 c5: 2 c0: 15 skew: 1.5 type: snfs Factor base limits: 360000/360000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [180000, 300001) Primes: RFBsize:30757, AFBsize:30809, largePrimes:1049595 encountered Relations: rels:976872, finalFF:96164 Max relations in full relation-set: 28 Initial matrix: 61631 x 96164 with sparse part having weight 4380179. Pruned matrix : 51415 x 51787 with weight 1652064. Total sieving time: 0.59 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,110,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000 total time: 0.62 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

4·10¹⁷⁹+3 = 4(0)₁₇₈3_<180> = C180
C180 = P37 · C143
P37 = 9679838127597185553923930374350132743_<37>
C143 = [41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821_<143>]
4·10¹¹³-3 = 3(9)₁₁₂7_<114> = 13 · C113
C113 = P31 · P83
P31 = 1702356884234854309940250225619_<31>
P83 = 18074488994744710410784707596626357056720051107053667811146452741104552488586191851_<83>

Number: 39997_113 N=30769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769 ( 113 digits) SNFS difficulty: 113 digits. Divisors found: r1=1702356884234854309940250225619 (pp31) r2=18074488994744710410784707596626357056720051107053667811146452741104552488586191851 (pp83) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.68 hours. Scaled time: 0.63 units (timescale=0.932). Factorization parameters were as follows: n: 30769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769230769 m: 20000000000000000000000 c5: 125 c0: -3 skew: 1 type: snfs Factor base limits: 360000/360000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [180000, 300001) Primes: RFBsize:30757, AFBsize:30524, largePrimes:971787 encountered Relations: rels:878648, finalFF:73299 Max relations in full relation-set: 28 Initial matrix: 61346 x 73299 with sparse part having weight 3338199. Pruned matrix : 56856 x 57226 with weight 1991611. Total sieving time: 0.65 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000 total time: 0.68 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676) Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148) Total of 4 processors activated (19246.21 BogoMIPS).

May 25, 2007 (3rd)

By Robert Backstrom / GGNFS-0.77.1-20051202-athlon
(2·10¹⁷⁰+43)/9 = (2)₁₆₉7_<170> = 3 · 31 · C168
C168 = P72 · P96
P72 = 822727558550038088856535467720496024936606976987042056653456323459910599_<72>
P96 = 290434693188738543956075989104111212671965096094614253375494043532658467524800249969328397926361_<96>

Number: n N=238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400239 ( 168 digits) SNFS difficulty: 170 digits. Divisors found: r1=822727558550038088856535467720496024936606976987042056653456323459910599 (pp72) r2=290434693188738543956075989104111212671965096094614253375494043532658467524800249969328397926361 (pp96) Version: GGNFS-0.77.1-20051202-athlon Total time: 101.07 hours. Scaled time: 120.88 units (timescale=1.196). Factorization parameters were as follows: name: KA_2_169_7 n: 238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400239 type: snfs skew: 1.85 deg: 5 c5: 2 c0: 43 m: 10000000000000000000000000000000000 rlim: 5000000 alim: 5000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 3500001) Primes: RFBsize:348513, AFBsize:348531, largePrimes:8123742 encountered Relations: rels:7797506, finalFF:823183 Max relations in full relation-set: 28 Initial matrix: 697109 x 823183 with sparse part having weight 47249027. Pruned matrix : 584171 x 587720 with weight 29395354. Total sieving time: 92.50 hours. Total relation processing time: 0.38 hours. Matrix solve time: 8.04 hours. Total square root time: 0.15 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.6,2.6,100000 total time: 101.07 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+

May 25, 2007 (2nd)

The factor tables of 399...997 and 400...003 were 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.

May 25, 2007

By Robert Backstrom / GGNFS-0.77.1-20051202-athlon, GGNFS-0.77.1-20060513-athlon-xp
2·10¹⁵⁷-3 = 1(9)₁₅₆7_<158> = 43 · 179 · 2733863182530927049217_<22> · C132
C132 = P42 · P91
P42 = 496078180985187011253921599029146472448633_<42>
P91 = 1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141_<91>

Number: n N=950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253 ( 132 digits) SNFS difficulty: 157 digits. Divisors found: r1=496078180985187011253921599029146472448633 (pp42) r2=1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141 (pp91) Version: GGNFS-0.77.1-20051202-athlon Total time: 33.62 hours. Scaled time: 48.78 units (timescale=1.451). Factorization parameters were as follows: name: KA_1_9_156_7 n: 950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253 skew: 0.43 deg: 5 c5: 200 c0: -3 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, 1600001) Primes: RFBsize:183072, AFBsize:183041, largePrimes:7276973 encountered Relations: rels:6812530, finalFF:487659 Max relations in full relation-set: 28 Initial matrix: 366178 x 487659 with sparse part having weight 43287182. Pruned matrix : 296199 x 298093 with weight 25524280. Total sieving time: 30.36 hours. Total relation processing time: 0.20 hours. Matrix solve time: 3.00 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000 total time: 33.62 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

(22·10¹⁶⁰-1)/3 = 7(3)_160<161> = 13 · 263 · C158
C158 = P62 &middo