Contributed factorization results of 533...33

Table of contents 目次

16×10¹⁵⁵-13
- c129
16×10¹⁵⁷-13
- c155
16×10¹⁶¹-13
- c151
16×10¹⁶³-13
- c131
16×10¹⁶⁷-13
- c163
16×10¹⁶⁹-13
- c132
16×10¹⁷³-13
- c172
16×10¹⁷⁹-13
- c172
16×10¹⁸¹-13
- c175
- ECM
16×10¹⁸³-13
- c179
- ECM
16×10¹⁸⁵-13
- c145
- ECM
16×10¹⁸⁷-13
- c168
- ECM
16×10¹⁸⁹-13
- c169
- ECM
16×10¹⁹¹-13
- c172
- ECM
16×10¹⁹³-13
- c165
- ECM
16×10¹⁹⁵-13
- c170
- ECM
16×10¹⁹⁷-13
- c181
- ECM
16×10¹⁹⁹-13
- c188
- c154
- ECM
16×10²⁰⁵-13
- c206
- ECM
16×10²¹³-13
- c207
- ECM
16×10²¹⁵-13
- c206
- c172
- c133
- ECM
16×10²¹⁷-13
- c198
- ECM
16×10²¹⁹-13
- c176
- c137
- ECM
16×10²²¹-13
- c186
- ECM
16×10²²³-13
- c175
- c143
- ECM
16×10²²⁵-13
- c214
- ECM
16×10²²⁷-13
- c185
- c153
- ECM
16×10²²⁹-13
- c230
- c195
- c149
- ECM
16×10²³¹-13
- c200
- ECM
16×10²³⁵-13
- c224
- c191
- c146
- ECM
16×10²³⁷-13
- c197
- ECM
16×10²⁴³-13
- c239
- ECM
16×10²⁵¹-13
- c169
- c138
- ECM
16×10²⁵⁵-13
- c247
- ECM
16×10²⁵⁹-13
- c176
- c143
- ECM
16×10²⁶¹-13
- c229
- ECM
16×10²⁶³-13
- c251
- ECM
16×10²⁶⁵-13
- c222
- ECM
16×10²⁷³-13
- c239
- ECM
16×10²⁷⁵-13
- c249
- ECM
16×10²⁷⁷-13
- c225
- ECM
16×10²⁷⁹-13
- c240
- ECM
16×10²⁸¹-13
- c243
- ECM
16×10²⁸³-13
- c242
- ECM
16×10²⁸⁷-13
- c224
- ECM
16×10²⁸⁹-13
- c250
- ECM
16×10²⁹¹-13
- c268
- ECM
16×10²⁹³-13
- c289
- ECM
16×10²⁹⁵-13
- c240
- ECM
16×10²⁹⁷-13
- c255
- ECM
16×10²⁹⁹-13
- c281
- ECM
16×10³⁰¹-13
- c256
- ECM
16×10³⁰³-13
- c270
- ECM
16×10³⁰⁵-13
- c256
- ECM
16×10³⁰⁷-13
- c280
- c244
- ECM
16×10³⁰⁹-13
- c276
- ECM
16×10³¹¹-13
- c272
- c232
- ECM
16×10³¹³-13
- c293
- ECM
16×10³¹⁵-13
- c305
- ECM
16×10³¹⁷-13
- c270
- ECM
16×10³¹⁹-13
- c231
- ECM
16×10³²¹-13
- c273
- ECM
16×10³²⁵-13
- c319
- ECM
16×10³²⁹-13
- c299
- ECM
16×10³³³-13
- c301
- ECM
16×10³³⁷-13
- c331
- ECM
16×10³³⁹-13
- c314
- ECM
16×10³⁴¹-13
- c320
- ECM
16×10³⁴³-13
- c329
- ECM
16×10³⁴⁵-13
- c336
- ECM
16×10³⁴⁷-13
- c308
- ECM
16×10³⁴⁹-13
- c310
- ECM
16×10³⁵¹-13
- c312
- ECM
16×10³⁵⁵-13
- c311
- ECM
16×10³⁵⁷-13
- c323
- ECM
16×10³⁵⁹-13
- c308
- ECM
16×10³⁶³-13
- c350
- ECM
16×10³⁶⁵-13
- c335
- ECM
16×10³⁶⁹-13
- c360
- ECM
16×10³⁷¹-13
- c361
- ECM
16×10³⁷⁵-13
- c312
- ECM
16×10³⁷⁷-13
- c373
- ECM
16×10³⁷⁹-13
- c356
- ECM
16×10³⁸¹-13
- c369
- ECM
16×10³⁸³-13
- c288
- ECM
16×10³⁸⁵-13
- c355
- ECM
16×10³⁸⁷-13
- c383
- ECM
16×10³⁸⁹-13
- c322
- ECM
16×10³⁹¹-13
- c372
- ECM
16×10³⁹³-13
- c356
- ECM
16×10³⁹⁵-13
- c357
- ECM
16×10³⁹⁷-13
- c354
- ECM
16×10³⁹⁹-13
- c326
- ECM

16×10¹⁵⁵-13

c129

name 名前	Robert Backstrom
date 日付	May 9, 2007 05:40:52 UTC 2007 年 5 月 9 日 (水) 14 時 40 分 52 秒 (日本時間)
composite number 合成数	404378154175334737009800640537312448779192500233832940020546894325311977216650147743526077094343949934288407943962237103864084519<129>
prime factors 素因数	90029914555725552917405713267859877539437849056631020317<56> 4491597666962551358812885925456249780291015698726653486747753928606021907<73>
factorization results 素因数分解の結果	Number: n N=404378154175334737009800640537312448779192500233832940020546894325311977216650147743526077094343949934288407943962237103864084519 ( 129 digits) SNFS difficulty: 156 digits. Divisors found: r1=90029914555725552917405713267859877539437849056631020317 (pp56) r2=4491597666962551358812885925456249780291015698726653486747753928606021907 (pp73) Version: GGNFS-0.77.1-20051202-athlon Total time: 22.14 hours. Scaled time: 16.09 units (timescale=0.727). Factorization parameters were as follows: name: KA_5_3_155 n: 404378154175334737009800640537312448779192500233832940020546894325311977216650147743526077094343949934288407943962237103864084519 skew: 1.15 deg: 5 c5: 1 c0: -2 m: 20000000000000000000000000000000 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, 1000001) Primes: RFBsize:216816, AFBsize:216491, largePrimes:6892018 encountered Relations: rels:6481806, finalFF:584788 Max relations in full relation-set: 28 Initial matrix: 433371 x 584788 with sparse part having weight 34883238. Pruned matrix : 301211 x 303441 with weight 16933179. Total sieving time: 18.50 hours. Total relation processing time: 0.17 hours. Matrix solve time: 3.30 hours. Total square root time: 0.17 hours, sqrts: 2. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 22.14 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+

16×10¹⁵⁷-13

c155

name 名前	Robert Backstrom
date 日付	April 15, 2007 14:18:45 UTC 2007 年 4 月 15 日 (日) 23 時 18 分 45 秒 (日本時間)
composite number 合成数	24543641662831722656849210001533977603926982666053075625095873600245436416628317226568492100015339776039269826660530756250958736002454364166283172265684921<155>
prime factors 素因数	129797383107911921189114592848736731761<39> 189091960678640538527657346264288860676014584874491438046542017422669365733841635944493393437125375006515513942447561<117>
factorization results 素因数分解の結果	Number: n N=24543641662831722656849210001533977603926982666053075625095873600245436416628317226568492100015339776039269826660530756250958736002454364166283172265684921 ( 155 digits) SNFS difficulty: 158 digits. Divisors found: r1=129797383107911921189114592848736731761 (pp39) r2=189091960678640538527657346264288860676014584874491438046542017422669365733841635944493393437125375006515513942447561 (pp117) Version: GGNFS-0.77.1-20051202-athlon Total time: 25.92 hours. Scaled time: 33.95 units (timescale=1.310). Factorization parameters were as follows: name: KA_5_3_157 n: 24543641662831722656849210001533977603926982666053075625095873600245436416628317226568492100015339776039269826660530756250958736002454364166283172265684921 skew: 0.46 deg: 5 c5: 50 c0: -1 m: 20000000000000000000000000000000 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, 1100001) Primes: RFBsize:216816, AFBsize:216926, largePrimes:6830845 encountered Relations: rels:6343658, finalFF:527782 Max relations in full relation-set: 48 Initial matrix: 433807 x 527782 with sparse part having weight 36099796. Pruned matrix : 353105 x 355338 with weight 19042809. Total sieving time: 22.85 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.82 hours. Total square root time: 0.06 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000 total time: 25.92 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

16×10¹⁶¹-13

c151

name 名前	Robert Backstrom
date 日付	June 14, 2007 05:06:32 UTC 2007 年 6 月 14 日 (木) 14 時 6 分 32 秒 (日本時間)
composite number 合成数	1435756999967724720152252411207919472795542416216408834314647200422664077480544169773101373842224239920853631269279030738644813825332397365358703566043<151>
prime factors 素因数	21296628673706037218941669897405375529<38> 18789442466366541078334745181943959375398817645988163<53> 3588031028791720530702891116571104480395193265875079747911009<61>
factorization results 素因数分解の結果	GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM] Input number is 1435756999967724720152252411207919472795542416216408834314647200422664077480544169773101373842224239920853631269279030738644813825332397365358703566043 (151 digits) Using B1=148000, B2=55183786, polynomial x^2, sigma=1780913447 Step 1 took 2930ms Step 2 took 1970ms ********** Factor found in step 2: 21296628673706037218941669897405375529 Found probable prime factor of 38 digits: 21296628673706037218941669897405375529 Composite cofactor 67417102583019983171184801555027292869246270062017192633036181651915613927135668150787776143695353707888791386467 has 113 digits Number: n N=67417102583019983171184801555027292869246270062017192633036181651915613927135668150787776143695353707888791386467 ( 113 digits) SNFS difficulty: 162 digits. Divisors found: r1=18789442466366541078334745181943959375398817645988163 (pp53) r2=3588031028791720530702891116571104480395193265875079747911009 (pp61) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 35.56 hours. Scaled time: 48.54 units (timescale=1.365). Factorization parameters were as follows: name: KA_5_3_161 n: 67417102583019983171184801555027292869246270062017192633036181651915613927135668150787776143695353707888791386467 # n: 1435756999967724720152252411207919472795542416216408834314647200422664077480544169773101373842224239920853631269279030738644813825332397365358703566043 skew: 0.72 deg: 5 c5: 5 c0: -1 m: 200000000000000000000000000000000 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, 1500001) Primes: RFBsize:250150, AFBsize:249616, largePrimes:7109746 encountered Relations: rels:6650928, finalFF:579476 Max relations in full relation-set: 28 Initial matrix: 499831 x 579476 with sparse part having weight 35607840. Pruned matrix : 430167 x 432730 with weight 21710821. Total sieving time: 31.47 hours. Total relation processing time: 0.37 hours. Matrix solve time: 3.37 hours. Total square root time: 0.34 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000 total time: 35.56 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

16×10¹⁶³-13

c131

name 名前	Robert Backstrom
date 日付	April 9, 2008 12:20:14 UTC 2008 年 4 月 9 日 (水) 21 時 20 分 14 秒 (日本時間)
composite number 合成数	38272829910055922554986494307292612701700316471903274256011625905419437445035817954191202482574294773808756113465281446661881046973<131>
prime factors 素因数	5241938648266082638689856097053647927227<40> 1203492293151321834268051001544618500679611569<46> 6066739234889810264566998524928554913682222871<46>
factorization results 素因数分解の結果	Number: n N=38272829910055922554986494307292612701700316471903274256011625905419437445035817954191202482574294773808756113465281446661881046973 ( 131 digits) SNFS difficulty: 164 digits. Divisors found: Wed Apr 09 22:10:04 2008 prp40 factor: 5241938648266082638689856097053647927227 Wed Apr 09 22:10:04 2008 prp46 factor: 1203492293151321834268051001544618500679611569 Wed Apr 09 22:10:04 2008 prp46 factor: 6066739234889810264566998524928554913682222871 Wed Apr 09 22:10:04 2008 elapsed time 01:02:53 (Msieve 1.34) Version: GGNFS-0.77.1-20051202-athlon Total time: 32.31 hours. Scaled time: 59.09 units (timescale=1.829). Factorization parameters were as follows: name: KA_5_3_163 n: 38272829910055922554986494307292612701700316471903274256011625905419437445035817954191202482574294773808756113465281446661881046973 skew: 0.29 deg: 5 c5: 500 c0: -1 m: 200000000000000000000000000000000 type: snfs rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 2299990) Primes: RFBsize:230209, AFBsize:229657, largePrimes:7314015 encountered Relations: rels:6796872, finalFF:529923 Max relations in full relation-set: 28 Initial matrix: 459932 x 529922 with sparse part having weight 46577315. Pruned matrix : Total sieving time: 32.13 hours. Total relation processing time: 0.17 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000 total time: 32.31 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 X2 6000+

16×10¹⁶⁷-13

c163

name 名前	Robert Backstrom
date 日付	January 25, 2008 05:34:27 UTC 2008 年 1 月 25 日 (金) 14 時 34 分 27 秒 (日本時間)
composite number 合成数	6967396936958121589785796090419393749374022931445168763417682382501382592829677627252973118911692598447141407675458650676490696347777618108264639154158011853284039<163>
prime factors 素因数	40597113862788129876743745080216984123131298311427<50> 90647476731104016968844622707762569866503500594961277609<56> 1893301042298636909272719039593617589762226489198375358373<58>
factorization results 素因数分解の結果	Number: n N=6967396936958121589785796090419393749374022931445168763417682382501382592829677627252973118911692598447141407675458650676490696347777618108264639154158011853284039 ( 163 digits) SNFS difficulty: 168 digits. Divisors found: Fri Jan 25 16:25:02 2008 prp50 factor: 40597113862788129876743745080216984123131298311427 Fri Jan 25 16:25:02 2008 prp56 factor: 90647476731104016968844622707762569866503500594961277609 Fri Jan 25 16:25:02 2008 prp58 factor: 1893301042298636909272719039593617589762226489198375358373 Fri Jan 25 16:25:02 2008 elapsed time 01:52:38 (Msieve 1.33) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 65.44 hours. Scaled time: 85.59 units (timescale=1.308). Factorization parameters were as follows: name: KA_5_3_167 n: 6967396936958121589785796090419393749374022931445168763417682382501382592829677627252973118911692598447141407675458650676490696347777618108264639154158011853284039 skew: 0.46 deg: 5 c5: 50 c0: -1 m: 2000000000000000000000000000000000 type: snfs rlim: 3200000 alim: 3200000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 3002683) Primes: RFBsize:230209, AFBsize:230262, largePrimes:7515348 encountered Relations: rels:6996341, finalFF:506931 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 65.16 hours. Total relation processing time: 0.27 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000 total time: 65.44 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+

16×10¹⁶⁹-13

c132

name 名前	Chris Monico
date 日付	September 15, 2008 14:01:08 UTC 2008 年 9 月 15 日 (月) 23 時 1 分 8 秒 (日本時間)
composite number 合成数	439863245043938633275360032107760843619767204363929593692974356134399238277245461761858058337741355248435942840638766855441150400533<132>
prime factors 素因数	2359339499068883240543885710901550432466257806573<49> 186434909099572698920884170268392055319140036876977757831249406175990968275589112521<84>
factorization results 素因数分解の結果	N=439863245043938633275360032107760843619767204363929593692974356134399238277245461761858058337741355248435942840638766855441150400533 r1=2359339499068883240543885710901550432466257806573 (pp49) r2=186434909099572698920884170268392055319140036876977757831249406175990968275589112521 (pp84) Version: GGNFS-0.91.4
software ソフトウェア	GGNFS-0.91.4
execution environment 実行環境	AMD Athlon(tm) 64 X2 Dual Core Processor 4200+ Fedora 9

16×10¹⁷³-13

c172

name 名前	Robert Backstrom
date 日付	June 21, 2007 10:59:55 UTC 2007 年 6 月 21 日 (木) 19 時 59 分 55 秒 (日本時間)
composite number 合成数	7960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199<172>
prime factors 素因数	96371276020696526133446288272274025697919084102770639532241766004453<68> 82599290303737453966408350950661246292450859283670030355136080034796461939594945728788702602573657900283<104>
factorization results 素因数分解の結果	Number: n N=7960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199 ( 172 digits) SNFS difficulty: 174 digits. Divisors found: r1=96371276020696526133446288272274025697919084102770639532241766004453 (pp68) r2=82599290303737453966408350950661246292450859283670030355136080034796461939594945728788702602573657900283 (pp104) Version: GGNFS-0.77.1-20051202-athlon Total time: 172.53 hours. Scaled time: 206.34 units (timescale=1.196). Factorization parameters were as follows: name: KA_5_3_173 n: 7960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199 type: snfs skew: 0.29 deg: 5 c5: 500 c0: -1 m: 20000000000000000000000000000000000 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, 6100001) Primes: RFBsize:348513, AFBsize:348381, largePrimes:8606327 encountered Relations: rels:8178018, finalFF:784475 Max relations in full relation-set: 28 Initial matrix: 696960 x 784475 with sparse part having weight 56036078. Pruned matrix : 632811 x 636359 with weight 42788642. Total sieving time: 158.37 hours. Total relation processing time: 0.66 hours. Matrix solve time: 13.29 hours. Total square root time: 0.20 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.6,2.6,100000 total time: 172.53 hours. --------- CPU info (if available) ---------- Cygwin on AMD XP 2700+

16×10¹⁷⁹-13

c172

name 名前	Thomas Womack
date 日付	September 19, 2008 15:08:20 UTC 2008 年 9 月 20 日 (土) 0 時 8 分 20 秒 (日本時間)
composite number 合成数	8973873414463094191216786621834765515856579128831063641638999233412472240374218149175513321403802536399138281561907827764514860260441661182648493025009214906045704688861759<172>
prime factors 素因数	1226638090264928115723655327333228728490191370449664758311<58> 7315828104216888973836157895081638072697654891738449634905084897704701381178005284947042277396339224057301618595369<115>
factorization results 素因数分解の結果	prp58 factor: 1226638090264928115723655327333228728490191370449664758311 prp115 factor: 7315828104216888973836157895081638072697654891738449634905084897704701381178005284947042277396339224057301618595369 elapsed time 06:07:08 (that's the processing time, sieving was ~101 CPU-hours)
software ソフトウェア	ggnfs lattice siever, msieve
execution environment 実行環境	Core2/2400, up to two cores

16×10¹⁸¹-13

c175

name 名前	Ignacio Santos
date 日付	April 21, 2010 18:59:56 UTC 2010 年 4 月 22 日 (木) 3 時 59 分 56 秒 (日本時間)
composite number 合成数	1306872209567479125432295970028388776610868859204539067764436055522825213331981700750588168047854981226331472241123542215701038802497965342908851356444731259332037520529839319<175>
prime factors 素因数	33200584780586045156140203713537467365084708747168498511<56> 39362927436497119207568322448883565899125563400218584825520778751575880288415267059450506090258234041817920231589057529<119>
factorization results 素因数分解の結果	Number: 13 N=1306872209567479125432295970028388776610868859204539067764436055522825213331981700750588168047854981226331472241123542215701038802497965342908851356444731259332037520529839319 ( 175 digits) SNFS difficulty: 182 digits. Divisors found: r1=33200584780586045156140203713537467365084708747168498511 (pp56) r2=39362927436497119207568322448883565899125563400218584825520778751575880288415267059450506090258234041817920231589057529 (pp119) Version: Msieve-1.40 Total time: 111.89 hours. Scaled time: 194.13 units (timescale=1.735). Factorization parameters were as follows: n: 1306872209567479125432295970028388776610868859204539067764436055522825213331981700750588168047854981226331472241123542215701038802497965342908851356444731259332037520529839319 m: 2000000000000000000000000000000000000 deg: 5 c5: 5 c0: -1 skew: 0.72 type: snfs lss: 1 rlim: 7600000 alim: 7600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7600000/7600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3800000, 5600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1326351 x 1326575 Total sieving time: 108.99 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.49 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000 total time: 111.89 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Ignacio Santos	March 29, 2010 11:43:15 UTC 2010 年 3 月 29 日 (月) 20 時 43 分 15 秒 (日本時間)
35	1e6	410		Ignacio Santos	March 29, 2010 11:43:22 UTC 2010 年 3 月 29 日 (月) 20 時 43 分 22 秒 (日本時間)
40	3e6	1050	150	Ignacio Santos	March 29, 2010 11:43:22 UTC 2010 年 3 月 29 日 (月) 20 時 43 分 22 秒 (日本時間)
40	3e6	1050	900	Ignacio Santos	April 11, 2010 10:19:47 UTC 2010 年 4 月 11 日 (日) 19 時 19 分 47 秒 (日本時間)
45	11e6	300 / 3877		Ignacio Santos	April 11, 2010 10:19:20 UTC 2010 年 4 月 11 日 (日) 19 時 19 分 20 秒 (日本時間)
50	43e6	100 / 7444		Ignacio Santos	April 11, 2010 10:18:26 UTC 2010 年 4 月 11 日 (日) 19 時 18 分 26 秒 (日本時間)

16×10¹⁸³-13

c179

name 名前	Dmitry Domanov
date 日付	December 9, 2009 22:05:38 UTC 2009 年 12 月 10 日 (木) 7 時 5 分 38 秒 (日本時間)
composite number 合成数	10140978617112774654145093319186668162461012690800928153067931246700220629666038559803569244186525554949209542407354237693130184179186021675074171751416726403368833096604863740107<179>
prime factors 素因数	18627864608408854457971430690578723<35> 544398342498957622062084117964445373269473871781632235659942268003161698603526565536948832419130917001986223882572935713623771914211976408369209<144>
factorization results 素因数分解の結果	Factor=18627864608408854457971430690578723 Method=ECM B1=11000000 Sigma=1934621045
software ソフトウェア	ECMNET

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		JPascoa	December 6, 2009 10:11:38 UTC 2009 年 12 月 6 日 (日) 19 時 11 分 38 秒 (日本時間)
25	5e4	204		JPascoa	December 6, 2009 10:13:49 UTC 2009 年 12 月 6 日 (日) 19 時 13 分 49 秒 (日本時間)

16×10¹⁸⁵-13

c145

name 名前	Jo Yeong Uk
date 日付	September 6, 2010 04:04:30 UTC 2010 年 9 月 6 日 (月) 13 時 4 分 30 秒 (日本時間)
composite number 合成数	1521316009505563477478895298115902617495929907944644837620692515325616735317221182121062315198190370413859028325862007945242243180733187588646467<145>
prime factors 素因数	22690559556781478763658389018569481439<38> 67046209490717078047280059236417654446037426767674501485530349829787712103130787961203228706122705618861853<107>
factorization results 素因数分解の結果	GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM] Input number is 1521316009505563477478895298115902617495929907944644837620692515325616735317221182121062315198190370413859028325862007945242243180733187588646467 (145 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4245060143 Step 1 took 4117ms Step 2 took 2362ms ********** Factor found in step 2: 22690559556781478763658389018569481439 Found probable prime factor of 38 digits: 22690559556781478763658389018569481439 Probable prime cofactor 67046209490717078047280059236417654446037426767674501485530349829787712103130787961203228706122705618861853 has 107 digits
execution environment 実行環境	Core 2 Quad Q6700

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
20	11e3	74	Jo Yeong Uk	September 4, 2010 02:18:25 UTC 2010 年 9 月 4 日 (土) 11 時 18 分 25 秒 (日本時間)
25	5e4	204	Jo Yeong Uk	September 4, 2010 02:18:32 UTC 2010 年 9 月 4 日 (土) 11 時 18 分 32 秒 (日本時間)
30	25e4	403	Jo Yeong Uk	September 4, 2010 09:37:10 UTC 2010 年 9 月 4 日 (土) 18 時 37 分 10 秒 (日本時間)

16×10¹⁸⁷-13

c168

name 名前	Jo Yeong Uk
date 日付	November 23, 2012 13:30:13 UTC 2012 年 11 月 23 日 (金) 22 時 30 分 13 秒 (日本時間)
composite number 合成数	641559688970508579873351702234342810403902315148342736679974352473169866735482863830555981747463607417493141708309226221474265526599102117023178545404373445583860342517<168>
prime factors 素因数	104049290178833083134939990943240532317203177916479227322041<60> 6165920861813068996331203208392144371106171794667258386796255211564687090679005568717811586154653546373547037<109>
factorization results 素因数分解の結果	Number: 53333_187 N=641559688970508579873351702234342810403902315148342736679974352473169866735482863830555981747463607417493141708309226221474265526599102117023178545404373445583860342517 ( 168 digits) SNFS difficulty: 188 digits. Divisors found: r1=104049290178833083134939990943240532317203177916479227322041 r2=6165920861813068996331203208392144371106171794667258386796255211564687090679005568717811586154653546373547037 Version: Total time: 86.67 hours. Scaled time: 318.15 units (timescale=3.671). Factorization parameters were as follows: n: 641559688970508579873351702234342810403902315148342736679974352473169866735482863830555981747463607417493141708309226221474265526599102117023178545404373445583860342517 m: 20000000000000000000000000000000000000 deg: 5 c5: 50 c0: -1 skew: 0.46 # Murphy_E = 6.667e-11 type: snfs lss: 1 rlim: 8000000 alim: 8000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4000000, 7000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20065876 Max relations in full relation-set: Initial matrix: Pruned matrix : 1623085 x 1623333 Total sieving time: 79.21 hours. Total relation processing time: 2.12 hours. Matrix solve time: 5.09 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000 total time: 86.67 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 36991608k/38797312k available (5153k kernel code, 1057684k absent, 748020k reserved, 7165k data, 1260k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.30 BogoMIPS (lpj=3333650) Total of 12 processors activated (80007.60 BogoMIPS). x86info v1.25. Dave Jones 2001-2009 Feedback to <davej@redhat.com>. Found 12 CPUs -------------------------------------------------------------------------- CPU #1 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x0 Package: 0 Core: 0 SMT ID 0 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #2 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x2 Package: 0 Core: 0 SMT ID 2 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #3 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x4 Package: 0 Core: 0 SMT ID 4 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #4 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x10 Package: 0 Core: 0 SMT ID 16 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #5 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x12 Package: 0 Core: 0 SMT ID 18 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #6 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x14 Package: 0 Core: 0 SMT ID 20 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #7 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x1 Package: 0 Core: 0 SMT ID 1 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #8 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x3 Package: 0 Core: 0 SMT ID 3 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #9 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x5 Package: 0 Core: 0 SMT ID 5 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #10 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x11 Package: 0 Core: 0 SMT ID 17 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #11 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x13 Package: 0 Core: 0 SMT ID 19 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #12 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x15 Package: 0 Core: 0 SMT ID 21 3.35GHz processor (estimate). --------------------------------------------------------------------------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Jo Yeong Uk	September 4, 2010 02:18:39 UTC 2010 年 9 月 4 日 (土) 11 時 18 分 39 秒 (日本時間)
25	5e4	204		Jo Yeong Uk	September 4, 2010 02:18:44 UTC 2010 年 9 月 4 日 (土) 11 時 18 分 44 秒 (日本時間)
30	25e4	403		Jo Yeong Uk	September 4, 2010 09:37:18 UTC 2010 年 9 月 4 日 (土) 18 時 37 分 18 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 11, 2010 13:02:56 UTC 2010 年 9 月 11 日 (土) 22 時 2 分 56 秒 (日本時間)
40	3e6	2144	110	Ignacio Santos	September 11, 2010 13:02:56 UTC 2010 年 9 月 11 日 (土) 22 時 2 分 56 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:36:20 UTC 2011 年 7 月 30 日 (土) 3 時 36 分 20 秒 (日本時間)
			1334	Jo Yeong Uk	November 19, 2012 10:18:46 UTC 2012 年 11 月 19 日 (月) 19 時 18 分 46 秒 (日本時間)
45	11e6	32 / 3991		Ignacio Santos	September 11, 2010 13:02:56 UTC 2010 年 9 月 11 日 (土) 22 時 2 分 56 秒 (日本時間)

16×10¹⁸⁹-13

c169

name 名前	Jo Yeong Uk
date 日付	November 28, 2012 09:53:02 UTC 2012 年 11 月 28 日 (水) 18 時 53 分 2 秒 (日本時間)
composite number 合成数	5213717008565030348524076054743043655495065168775465669640962189566362073979494325388958471670331833874961277176564437016926295760352610330518756573699560886236760186933<169>
prime factors 素因数	224810475566258303136663922644802670420227179877702583336319733<63> 23191610601919631556646995518254821437876994875551674747845692219828115685174305130287152696639398449678401<107>
factorization results 素因数分解の結果	Number: 53333_189 N=5213717008565030348524076054743043655495065168775465669640962189566362073979494325388958471670331833874961277176564437016926295760352610330518756573699560886236760186933 ( 169 digits) SNFS difficulty: 191 digits. Divisors found: r1=224810475566258303136663922644802670420227179877702583336319733 r2=23191610601919631556646995518254821437876994875551674747845692219828115685174305130287152696639398449678401 Version: Total time: 113.87 hours. Scaled time: 413.47 units (timescale=3.631). Factorization parameters were as follows: n: 5213717008565030348524076054743043655495065168775465669640962189566362073979494325388958471670331833874961277176564437016926295760352610330518756573699560886236760186933 m: 200000000000000000000000000000000000000 deg: 5 c5: 1 c0: -20 skew: 1.82 # Murphy_E = 5.156e-11 type: snfs lss: 1 rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4500000, 8300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20461185 Max relations in full relation-set: Initial matrix: Pruned matrix : 1830915 x 1831163 Total sieving time: 101.63 hours. Total relation processing time: 2.76 hours. Matrix solve time: 9.01 hours. Time per square root: 0.47 hours. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000 total time: 113.87 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 36991608k/38797312k available (5153k kernel code, 1057684k absent, 748020k reserved, 7165k data, 1260k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.30 BogoMIPS (lpj=3333650) Total of 12 processors activated (80007.60 BogoMIPS). x86info v1.25. Dave Jones 2001-2009 Feedback to <davej@redhat.com>. Found 12 CPUs -------------------------------------------------------------------------- CPU #1 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x0 Package: 0 Core: 0 SMT ID 0 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #2 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x2 Package: 0 Core: 0 SMT ID 2 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #3 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x4 Package: 0 Core: 0 SMT ID 4 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #4 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x10 Package: 0 Core: 0 SMT ID 16 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #5 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x12 Package: 0 Core: 0 SMT ID 18 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #6 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x14 Package: 0 Core: 0 SMT ID 20 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #7 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x1 Package: 0 Core: 0 SMT ID 1 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #8 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x3 Package: 0 Core: 0 SMT ID 3 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #9 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x5 Package: 0 Core: 0 SMT ID 5 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #10 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x11 Package: 0 Core: 0 SMT ID 17 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #11 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x13 Package: 0 Core: 0 SMT ID 19 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #12 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x15 Package: 0 Core: 0 SMT ID 21 3.35GHz processor (estimate). --------------------------------------------------------------------------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Jo Yeong Uk	September 4, 2010 02:18:54 UTC 2010 年 9 月 4 日 (土) 11 時 18 分 54 秒 (日本時間)
25	5e4	204		Jo Yeong Uk	September 4, 2010 02:18:58 UTC 2010 年 9 月 4 日 (土) 11 時 18 分 58 秒 (日本時間)
30	25e4	403		Jo Yeong Uk	September 4, 2010 09:37:26 UTC 2010 年 9 月 4 日 (土) 18 時 37 分 26 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 11, 2010 13:03:30 UTC 2010 年 9 月 11 日 (土) 22 時 3 分 30 秒 (日本時間)
40	3e6	2144	110	Ignacio Santos	September 11, 2010 13:03:30 UTC 2010 年 9 月 11 日 (土) 22 時 3 分 30 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:36:33 UTC 2011 年 7 月 30 日 (土) 3 時 36 分 33 秒 (日本時間)
			1334	Jo Yeong Uk	November 20, 2012 23:19:20 UTC 2012 年 11 月 21 日 (水) 8 時 19 分 20 秒 (日本時間)
45	11e6	32 / 3991		Ignacio Santos	September 11, 2010 13:03:30 UTC 2010 年 9 月 11 日 (土) 22 時 3 分 30 秒 (日本時間)

16×10¹⁹¹-13

c172

name 名前	Jo Yeong Uk
date 日付	November 23, 2012 13:30:50 UTC 2012 年 11 月 23 日 (金) 22 時 30 分 50 秒 (日本時間)
composite number 合成数	4569222740440452119143842493867096943225843989450945204315148649907511840649100197076672377440606543723143456208852712948207382275438987327937756642908469312731557178127373<172>
prime factors 素因数	33931126313232868146324686645620932439167779999<47> 134661687863231694707645650554981144354814133242845086204957944400047297653141307724247577041789552585516769144448791979932627<126>
factorization results 素因数分解の結果	GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM] Input number is 4569222740440452119143842493867096943225843989450945204315148649907511840649100197076672377440606543723143456208852712948207382275438987327937756642908469312731557178127373 (172 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7676202431 Step 1 took 39443ms Step 2 took 14879ms ********** Factor found in step 2: 33931126313232868146324686645620932439167779999 Found probable prime factor of 47 digits: 33931126313232868146324686645620932439167779999 Probable prime cofactor 134661687863231694707645650554981144354814133242845086204957944400047297653141307724247577041789552585516769144448791979932627 has 126 digits
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Ignacio Santos	March 29, 2010 13:26:13 UTC 2010 年 3 月 29 日 (月) 22 時 26 分 13 秒 (日本時間)
35	1e6	410		Ignacio Santos	March 29, 2010 13:26:22 UTC 2010 年 3 月 29 日 (月) 22 時 26 分 22 秒 (日本時間)
40	3e6	950	150	Ignacio Santos	March 29, 2010 13:26:22 UTC 2010 年 3 月 29 日 (月) 22 時 26 分 22 秒 (日本時間)
40	3e6	950	800	Ignacio Santos	April 27, 2010 14:58:28 UTC 2010 年 4 月 27 日 (火) 23 時 58 分 28 秒 (日本時間)
45	11e6	400 / 4025	230	Ignacio Santos	April 27, 2010 14:58:28 UTC 2010 年 4 月 27 日 (火) 23 時 58 分 28 秒 (日本時間)
45	11e6	400 / 4025	170	Serge Batalov	July 29, 2011 18:37:06 UTC 2011 年 7 月 30 日 (土) 3 時 37 分 6 秒 (日本時間)
50	43e6	64 / 7425		Ignacio Santos	April 27, 2010 14:58:28 UTC 2010 年 4 月 27 日 (火) 23 時 58 分 28 秒 (日本時間)

16×10¹⁹³-13

c165

name 名前	Jo Yeong Uk
date 日付	September 4, 2010 02:19:27 UTC 2010 年 9 月 4 日 (土) 11 時 19 分 27 秒 (日本時間)
composite number 合成数	191359011090239733302374126762907605325269696023320652221379625415437956920353909869583307649691550150991919206492977760959133100056869677706824269809523978531731453<165>
prime factors 素因数	44433861393693938322838940868841970201<38> 4306603232043151642515124771957520454068878611891004430904802519716966835224123078205990539320091687145064263899018470601150853<127>
factorization results 素因数分解の結果	GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM] Input number is 191359011090239733302374126762907605325269696023320652221379625415437956920353909869583307649691550150991919206492977760959133100056869677706824269809523978531731453 (165 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=7451905509 Step 1 took 1249ms Step 2 took 626ms ********** Factor found in step 2: 44433861393693938322838940868841970201 Found probable prime factor of 38 digits: 44433861393693938322838940868841970201 Probable prime cofactor 4306603232043151642515124771957520454068878611891004430904802519716966835224123078205990539320091687145064263899018470601150853 has 127 digits
execution environment 実行環境	Core 2 Quad Q6700

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Jo Yeong Uk	September 4, 2010 02:19:07 UTC 2010 年 9 月 4 日 (土) 11 時 19 分 7 秒 (日本時間)
25	5e4	204		Jo Yeong Uk	September 4, 2010 02:19:12 UTC 2010 年 9 月 4 日 (土) 11 時 19 分 12 秒 (日本時間)

16×10¹⁹⁵-13

c170

name 名前	Jo Yeong Uk
date 日付	November 24, 2012 01:18:58 UTC 2012 年 11 月 24 日 (土) 10 時 18 分 58 秒 (日本時間)
composite number 合成数	54504277361581307518699883871843677960513374856373548722507603214796803063362989450986322073471347803486552333085455576755725958782764768497095389219177016213032071390133<170>
prime factors 素因数	2460302637227275098799193544102137112303684027520921<52> 16375804685419638065956806980543124610598761817860265161<56> 1352818096035713050466673110601749997314548987123393222668995093<64>
factorization results 素因数分解の結果	GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM] Input number is 54504277361581307518699883871843677960513374856373548722507603214796803063362989450986322073471347803486552333085455576755725958782764768497095389219177016213032071390133 (170 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7379255885 Step 1 took 39129ms Step 2 took 14614ms ********** Factor found in step 2: 2460302637227275098799193544102137112303684027520921 Found probable prime factor of 52 digits: 2460302637227275098799193544102137112303684027520921 Composite cofactor 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 has 119 digits Fri Nov 23 10:22:48 2012 Fri Nov 23 10:22:48 2012 Fri Nov 23 10:22:48 2012 Msieve v. 1.39 Fri Nov 23 10:22:48 2012 random seeds: 8938c124 1e4b9e37 Fri Nov 23 10:22:48 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 10:22:49 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 10:22:49 2012 commencing number field sieve (119-digit input) Fri Nov 23 10:22:49 2012 R0: -72683812502624045859101 Fri Nov 23 10:22:49 2012 R1: 2866552890553 Fri Nov 23 10:22:49 2012 A0: 378856774001821928202859440 Fri Nov 23 10:22:49 2012 A1: 40104575548030136777924 Fri Nov 23 10:22:49 2012 A2: -5928605349076127202 Fri Nov 23 10:22:49 2012 A3: -134830190165760 Fri Nov 23 10:22:49 2012 A4: 19712879611 Fri Nov 23 10:22:49 2012 A5: 10920 Fri Nov 23 10:22:49 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 10:22:49 2012 generating factor base Fri Nov 23 10:22:50 2012 factor base complete: Fri Nov 23 10:22:50 2012 283146 rational roots (max prime = 3999971) Fri Nov 23 10:22:50 2012 282800 algebraic roots (max prime = 3999949) Fri Nov 23 10:22:50 2012 a range: [-4000000, 4000000] Fri Nov 23 10:22:50 2012 b range: [1, 300] Fri Nov 23 10:22:50 2012 number of hash buckets: 62 Fri Nov 23 10:22:50 2012 sieve block size: 65536 Fri Nov 23 10:22:50 2012 Fri Nov 23 10:22:50 2012 maximum RFB prime: 3999971 Fri Nov 23 10:22:50 2012 RFB entries: 283146 Fri Nov 23 10:22:50 2012 medium RFB entries: 6542 Fri Nov 23 10:22:50 2012 resieved RFB entries: 6374 Fri Nov 23 10:22:50 2012 small RFB prime powers: 26 Fri Nov 23 10:22:50 2012 projective RFB roots: 5 Fri Nov 23 10:22:50 2012 RFB trial factoring cutoff: 57 or 86 bits Fri Nov 23 10:22:50 2012 single large prime RFB range: 22 - 27 bits Fri Nov 23 10:22:50 2012 double large prime RFB range: 44 - 52 bits Fri Nov 23 10:22:50 2012 triple large prime RFB range: 69 - 79 bits Fri Nov 23 10:22:50 2012 Fri Nov 23 10:22:50 2012 maximum AFB prime: 3999949 Fri Nov 23 10:22:50 2012 AFB entries: 282800 Fri Nov 23 10:22:50 2012 medium AFB entries: 6445 Fri Nov 23 10:22:50 2012 resieved AFB entries: 6247 Fri Nov 23 10:22:50 2012 small AFB prime powers: 116 Fri Nov 23 10:22:50 2012 projective AFB roots: 5 Fri Nov 23 10:22:50 2012 AFB trial factoring cutoff: 57 or 86 bits Fri Nov 23 10:22:50 2012 single large prime AFB range: 22 - 27 bits Fri Nov 23 10:22:50 2012 double large prime AFB range: 44 - 52 bits Fri Nov 23 10:22:50 2012 triple large prime AFB range: 69 - 79 bits Fri Nov 23 10:22:50 2012 Fri Nov 23 10:22:50 2012 multiplying 1780545 primes from 3999949 to 33554432 Fri Nov 23 10:22:54 2012 multiply complete, product has 42636020 bits Fri Nov 23 10:24:58 2012 completed b = 300, found 75688 relations Fri Nov 23 10:24:58 2012 elapsed time 00:02:10 -> makeJobFile(): Adjusted to q0=2000000, q1=2100000. -> client 1 q0: 2000000 LatticeSieveTime: 3212 Fri Nov 23 11:18:31 2012 Fri Nov 23 11:18:31 2012 Fri Nov 23 11:18:31 2012 Msieve v. 1.39 Fri Nov 23 11:18:31 2012 random seeds: e4d550a7 7b88c314 Fri Nov 23 11:18:31 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 11:18:31 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 11:18:31 2012 commencing number field sieve (119-digit input) Fri Nov 23 11:18:31 2012 R0: -72683812502624045859101 Fri Nov 23 11:18:31 2012 R1: 2866552890553 Fri Nov 23 11:18:31 2012 A0: 378856774001821928202859440 Fri Nov 23 11:18:31 2012 A1: 40104575548030136777924 Fri Nov 23 11:18:31 2012 A2: -5928605349076127202 Fri Nov 23 11:18:31 2012 A3: -134830190165760 Fri Nov 23 11:18:31 2012 A4: 19712879611 Fri Nov 23 11:18:31 2012 A5: 10920 Fri Nov 23 11:18:31 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 11:18:31 2012 Fri Nov 23 11:18:31 2012 commencing relation filtering Fri Nov 23 11:18:31 2012 commencing duplicate removal, pass 1 Fri Nov 23 11:18:34 2012 found 5752 hash collisions in 606715 relations Fri Nov 23 11:18:37 2012 added 24685 free relations Fri Nov 23 11:18:37 2012 commencing duplicate removal, pass 2 Fri Nov 23 11:18:37 2012 found 5141 duplicates and 626259 unique relations Fri Nov 23 11:18:37 2012 memory use: 36.1 MB Fri Nov 23 11:18:37 2012 reading rational ideals above 2031616 Fri Nov 23 11:18:37 2012 reading algebraic ideals above 2031616 Fri Nov 23 11:18:37 2012 commencing singleton removal, pass 1 Fri Nov 23 11:18:40 2012 relations with 0 large ideals: 2519 Fri Nov 23 11:18:40 2012 relations with 1 large ideals: 14259 Fri Nov 23 11:18:40 2012 relations with 2 large ideals: 67228 Fri Nov 23 11:18:40 2012 relations with 3 large ideals: 164990 Fri Nov 23 11:18:40 2012 relations with 4 large ideals: 213805 Fri Nov 23 11:18:40 2012 relations with 5 large ideals: 124923 Fri Nov 23 11:18:40 2012 relations with 6 large ideals: 38319 Fri Nov 23 11:18:40 2012 relations with 7+ large ideals: 216 Fri Nov 23 11:18:40 2012 626259 relations and about 1666451 large ideals Fri Nov 23 11:18:40 2012 commencing singleton removal, pass 2 Fri Nov 23 11:18:43 2012 found 609713 singletons Fri Nov 23 11:18:43 2012 current dataset: 16546 relations and about 24669 large ideals Fri Nov 23 11:18:43 2012 commencing singleton removal, final pass Fri Nov 23 11:18:43 2012 memory use: 8.5 MB Fri Nov 23 11:18:43 2012 commencing in-memory singleton removal Fri Nov 23 11:18:43 2012 begin with 16546 relations and 24716 unique ideals Fri Nov 23 11:18:43 2012 reduce to 3035 relations and 258 ideals in 5 passes Fri Nov 23 11:18:43 2012 max relations containing the same ideal: 5 Fri Nov 23 11:18:44 2012 reading rational ideals above 720000 Fri Nov 23 11:18:44 2012 reading algebraic ideals above 720000 Fri Nov 23 11:18:44 2012 commencing singleton removal, final pass Fri Nov 23 11:18:44 2012 keeping 149141 ideals with weight <= 20, new excess is 115707 Fri Nov 23 11:18:44 2012 memory use: 9.8 MB Fri Nov 23 11:18:44 2012 commencing in-memory singleton removal Fri Nov 23 11:18:44 2012 begin with 26470 relations and 149141 unique ideals Fri Nov 23 11:18:44 2012 reduce to 608 relations and 2 ideals in 4 passes Fri Nov 23 11:18:44 2012 max relations containing the same ideal: 2 Fri Nov 23 11:18:44 2012 filtering wants 400842 more relations Fri Nov 23 11:18:44 2012 elapsed time 00:00:13 RelProcTime: 13 -> makeJobFile(): Adjusted to q0=2100001, q1=2200000. -> client 1 q0: 2100001 LatticeSieveTime: 3158 Fri Nov 23 12:11:22 2012 Fri Nov 23 12:11:22 2012 Fri Nov 23 12:11:22 2012 Msieve v. 1.39 Fri Nov 23 12:11:22 2012 random seeds: 9dd8392a 5ae0287b Fri Nov 23 12:11:22 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 12:11:23 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 12:11:23 2012 commencing number field sieve (119-digit input) Fri Nov 23 12:11:23 2012 R0: -72683812502624045859101 Fri Nov 23 12:11:23 2012 R1: 2866552890553 Fri Nov 23 12:11:23 2012 A0: 378856774001821928202859440 Fri Nov 23 12:11:23 2012 A1: 40104575548030136777924 Fri Nov 23 12:11:23 2012 A2: -5928605349076127202 Fri Nov 23 12:11:23 2012 A3: -134830190165760 Fri Nov 23 12:11:23 2012 A4: 19712879611 Fri Nov 23 12:11:23 2012 A5: 10920 Fri Nov 23 12:11:23 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 12:11:23 2012 Fri Nov 23 12:11:23 2012 commencing relation filtering Fri Nov 23 12:11:23 2012 commencing duplicate removal, pass 1 Fri Nov 23 12:11:28 2012 found 18056 hash collisions in 1155675 relations Fri Nov 23 12:11:32 2012 added 10205 free relations Fri Nov 23 12:11:32 2012 commencing duplicate removal, pass 2 Fri Nov 23 12:11:33 2012 found 15824 duplicates and 1150056 unique relations Fri Nov 23 12:11:33 2012 memory use: 36.5 MB Fri Nov 23 12:11:33 2012 reading rational ideals above 2162688 Fri Nov 23 12:11:33 2012 reading algebraic ideals above 2162688 Fri Nov 23 12:11:33 2012 commencing singleton removal, pass 1 Fri Nov 23 12:11:38 2012 relations with 0 large ideals: 5875 Fri Nov 23 12:11:38 2012 relations with 1 large ideals: 47874 Fri Nov 23 12:11:38 2012 relations with 2 large ideals: 204062 Fri Nov 23 12:11:38 2012 relations with 3 large ideals: 405340 Fri Nov 23 12:11:38 2012 relations with 4 large ideals: 353008 Fri Nov 23 12:11:38 2012 relations with 5 large ideals: 92717 Fri Nov 23 12:11:38 2012 relations with 6 large ideals: 41080 Fri Nov 23 12:11:38 2012 relations with 7+ large ideals: 100 Fri Nov 23 12:11:38 2012 1150056 relations and about 2726297 large ideals Fri Nov 23 12:11:38 2012 commencing singleton removal, pass 2 Fri Nov 23 12:11:44 2012 found 1092700 singletons Fri Nov 23 12:11:44 2012 current dataset: 57356 relations and about 97420 large ideals Fri Nov 23 12:11:44 2012 commencing singleton removal, final pass Fri Nov 23 12:11:45 2012 memory use: 9.8 MB Fri Nov 23 12:11:45 2012 commencing in-memory singleton removal Fri Nov 23 12:11:45 2012 begin with 57356 relations and 97815 unique ideals Fri Nov 23 12:11:45 2012 reduce to 6647 relations and 395 ideals in 5 passes Fri Nov 23 12:11:45 2012 max relations containing the same ideal: 5 Fri Nov 23 12:11:45 2012 reading rational ideals above 720000 Fri Nov 23 12:11:45 2012 reading algebraic ideals above 720000 Fri Nov 23 12:11:45 2012 commencing singleton removal, final pass Fri Nov 23 12:11:45 2012 keeping 93619 ideals with weight <= 20, new excess is 115751 Fri Nov 23 12:11:45 2012 memory use: 9.8 MB Fri Nov 23 12:11:45 2012 commencing in-memory singleton removal Fri Nov 23 12:11:45 2012 begin with 20202 relations and 93619 unique ideals Fri Nov 23 12:11:45 2012 reduce to 614 relations and 7 ideals in 4 passes Fri Nov 23 12:11:45 2012 max relations containing the same ideal: 2 Fri Nov 23 12:11:45 2012 filtering wants 400992 more relations Fri Nov 23 12:11:45 2012 elapsed time 00:00:23 RelProcTime: 23 -> makeJobFile(): Adjusted to q0=2200001, q1=2300000. -> client 1 q0: 2200001 LatticeSieveTime: 3143 Fri Nov 23 13:04:08 2012 Fri Nov 23 13:04:08 2012 Fri Nov 23 13:04:08 2012 Msieve v. 1.39 Fri Nov 23 13:04:08 2012 random seeds: 705f00ee fd4eb747 Fri Nov 23 13:04:08 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 13:04:09 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 13:04:09 2012 commencing number field sieve (119-digit input) Fri Nov 23 13:04:09 2012 R0: -72683812502624045859101 Fri Nov 23 13:04:09 2012 R1: 2866552890553 Fri Nov 23 13:04:09 2012 A0: 378856774001821928202859440 Fri Nov 23 13:04:09 2012 A1: 40104575548030136777924 Fri Nov 23 13:04:09 2012 A2: -5928605349076127202 Fri Nov 23 13:04:09 2012 A3: -134830190165760 Fri Nov 23 13:04:09 2012 A4: 19712879611 Fri Nov 23 13:04:09 2012 A5: 10920 Fri Nov 23 13:04:09 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 13:04:09 2012 Fri Nov 23 13:04:09 2012 commencing relation filtering Fri Nov 23 13:04:09 2012 commencing duplicate removal, pass 1 Fri Nov 23 13:04:17 2012 found 36158 hash collisions in 1685406 relations Fri Nov 23 13:04:22 2012 added 6764 free relations Fri Nov 23 13:04:22 2012 commencing duplicate removal, pass 2 Fri Nov 23 13:04:23 2012 found 31465 duplicates and 1660705 unique relations Fri Nov 23 13:04:23 2012 memory use: 36.9 MB Fri Nov 23 13:04:23 2012 reading rational ideals above 2293760 Fri Nov 23 13:04:23 2012 reading algebraic ideals above 2293760 Fri Nov 23 13:04:23 2012 commencing singleton removal, pass 1 Fri Nov 23 13:04:31 2012 relations with 0 large ideals: 9638 Fri Nov 23 13:04:31 2012 relations with 1 large ideals: 83645 Fri Nov 23 13:04:31 2012 relations with 2 large ideals: 344683 Fri Nov 23 13:04:31 2012 relations with 3 large ideals: 639616 Fri Nov 23 13:04:31 2012 relations with 4 large ideals: 481074 Fri Nov 23 13:04:31 2012 relations with 5 large ideals: 59965 Fri Nov 23 13:04:31 2012 relations with 6 large ideals: 42054 Fri Nov 23 13:04:31 2012 relations with 7+ large ideals: 30 Fri Nov 23 13:04:31 2012 1660705 relations and about 3588975 large ideals Fri Nov 23 13:04:31 2012 commencing singleton removal, pass 2 Fri Nov 23 13:04:40 2012 found 1529996 singletons Fri Nov 23 13:04:40 2012 current dataset: 130709 relations and about 231550 large ideals Fri Nov 23 13:04:40 2012 commencing singleton removal, final pass Fri Nov 23 13:04:40 2012 memory use: 11.7 MB Fri Nov 23 13:04:40 2012 commencing in-memory singleton removal Fri Nov 23 13:04:40 2012 begin with 130709 relations and 233173 unique ideals Fri Nov 23 13:04:40 2012 reduce to 11114 relations and 771 ideals in 5 passes Fri Nov 23 13:04:40 2012 max relations containing the same ideal: 3 Fri Nov 23 13:04:41 2012 reading rational ideals above 720000 Fri Nov 23 13:04:41 2012 reading algebraic ideals above 720000 Fri Nov 23 13:04:41 2012 commencing singleton removal, final pass Fri Nov 23 13:04:41 2012 keeping 76682 ideals with weight <= 20, new excess is 115723 Fri Nov 23 13:04:41 2012 memory use: 8.9 MB Fri Nov 23 13:04:41 2012 commencing in-memory singleton removal Fri Nov 23 13:04:41 2012 begin with 19070 relations and 76682 unique ideals Fri Nov 23 13:04:41 2012 reduce to 621 relations and 9 ideals in 4 passes Fri Nov 23 13:04:41 2012 max relations containing the same ideal: 2 Fri Nov 23 13:04:41 2012 filtering wants 400878 more relations Fri Nov 23 13:04:41 2012 elapsed time 00:00:33 RelProcTime: 33 -> makeJobFile(): Adjusted to q0=2300001, q1=2400000. -> client 1 q0: 2300001 LatticeSieveTime: 3231 Fri Nov 23 13:58:32 2012 Fri Nov 23 13:58:32 2012 Fri Nov 23 13:58:32 2012 Msieve v. 1.39 Fri Nov 23 13:58:32 2012 random seeds: da8af9d6 9af67fad Fri Nov 23 13:58:32 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 13:58:33 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 13:58:33 2012 commencing number field sieve (119-digit input) Fri Nov 23 13:58:33 2012 R0: -72683812502624045859101 Fri Nov 23 13:58:33 2012 R1: 2866552890553 Fri Nov 23 13:58:33 2012 A0: 378856774001821928202859440 Fri Nov 23 13:58:33 2012 A1: 40104575548030136777924 Fri Nov 23 13:58:33 2012 A2: -5928605349076127202 Fri Nov 23 13:58:33 2012 A3: -134830190165760 Fri Nov 23 13:58:33 2012 A4: 19712879611 Fri Nov 23 13:58:33 2012 A5: 10920 Fri Nov 23 13:58:33 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 13:58:33 2012 Fri Nov 23 13:58:33 2012 commencing relation filtering Fri Nov 23 13:58:33 2012 commencing duplicate removal, pass 1 Fri Nov 23 13:58:43 2012 found 60756 hash collisions in 2231528 relations Fri Nov 23 13:58:50 2012 added 5061 free relations Fri Nov 23 13:58:50 2012 commencing duplicate removal, pass 2 Fri Nov 23 13:58:50 2012 found 52805 duplicates and 2183784 unique relations Fri Nov 23 13:58:50 2012 memory use: 36.9 MB Fri Nov 23 13:58:50 2012 reading rational ideals above 2293760 Fri Nov 23 13:58:50 2012 reading algebraic ideals above 2293760 Fri Nov 23 13:58:50 2012 commencing singleton removal, pass 1 Fri Nov 23 13:59:01 2012 relations with 0 large ideals: 9638 Fri Nov 23 13:59:01 2012 relations with 1 large ideals: 85937 Fri Nov 23 13:59:01 2012 relations with 2 large ideals: 369233 Fri Nov 23 13:59:01 2012 relations with 3 large ideals: 745558 Fri Nov 23 13:59:01 2012 relations with 4 large ideals: 689133 Fri Nov 23 13:59:01 2012 relations with 5 large ideals: 219972 Fri Nov 23 13:59:01 2012 relations with 6 large ideals: 64106 Fri Nov 23 13:59:01 2012 relations with 7+ large ideals: 207 Fri Nov 23 13:59:01 2012 2183784 relations and about 4367984 large ideals Fri Nov 23 13:59:01 2012 commencing singleton removal, pass 2 Fri Nov 23 13:59:13 2012 found 1939195 singletons Fri Nov 23 13:59:13 2012 current dataset: 244589 relations and about 441002 large ideals Fri Nov 23 13:59:13 2012 commencing singleton removal, pass 3 Fri Nov 23 13:59:14 2012 found 214771 singletons Fri Nov 23 13:59:14 2012 current dataset: 29818 relations and about 24397 large ideals Fri Nov 23 13:59:14 2012 commencing singleton removal, final pass Fri Nov 23 13:59:15 2012 memory use: 8.5 MB Fri Nov 23 13:59:15 2012 commencing in-memory singleton removal Fri Nov 23 13:59:15 2012 begin with 29818 relations and 24584 unique ideals Fri Nov 23 13:59:15 2012 reduce to 12569 relations and 1567 ideals in 6 passes Fri Nov 23 13:59:15 2012 max relations containing the same ideal: 5 Fri Nov 23 13:59:15 2012 reading rational ideals above 720000 Fri Nov 23 13:59:15 2012 reading algebraic ideals above 720000 Fri Nov 23 13:59:15 2012 commencing singleton removal, final pass Fri Nov 23 13:59:15 2012 keeping 68106 ideals with weight <= 20, new excess is 115717 Fri Nov 23 13:59:15 2012 memory use: 8.9 MB Fri Nov 23 13:59:15 2012 commencing in-memory singleton removal Fri Nov 23 13:59:15 2012 begin with 18376 relations and 68106 unique ideals Fri Nov 23 13:59:15 2012 reduce to 631 relations and 15 ideals in 4 passes Fri Nov 23 13:59:15 2012 max relations containing the same ideal: 2 Fri Nov 23 13:59:15 2012 filtering wants 400845 more relations Fri Nov 23 13:59:15 2012 elapsed time 00:00:43 RelProcTime: 43 -> makeJobFile(): Adjusted to q0=2400001, q1=2500000. -> client 1 q0: 2400001 LatticeSieveTime: 3246 Fri Nov 23 14:53:22 2012 Fri Nov 23 14:53:22 2012 Fri Nov 23 14:53:22 2012 Msieve v. 1.39 Fri Nov 23 14:53:22 2012 random seeds: 3a21b7e4 52fdc0ca Fri Nov 23 14:53:22 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 14:53:23 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 14:53:23 2012 commencing number field sieve (119-digit input) Fri Nov 23 14:53:23 2012 R0: -72683812502624045859101 Fri Nov 23 14:53:23 2012 R1: 2866552890553 Fri Nov 23 14:53:23 2012 A0: 378856774001821928202859440 Fri Nov 23 14:53:23 2012 A1: 40104575548030136777924 Fri Nov 23 14:53:23 2012 A2: -5928605349076127202 Fri Nov 23 14:53:23 2012 A3: -134830190165760 Fri Nov 23 14:53:23 2012 A4: 19712879611 Fri Nov 23 14:53:23 2012 A5: 10920 Fri Nov 23 14:53:23 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 14:53:23 2012 Fri Nov 23 14:53:23 2012 commencing relation filtering Fri Nov 23 14:53:23 2012 commencing duplicate removal, pass 1 Fri Nov 23 14:53:36 2012 found 90396 hash collisions in 2776591 relations Fri Nov 23 14:53:43 2012 added 3801 free relations Fri Nov 23 14:53:43 2012 commencing duplicate removal, pass 2 Fri Nov 23 14:53:44 2012 found 78574 duplicates and 2701818 unique relations Fri Nov 23 14:53:44 2012 memory use: 37.8 MB Fri Nov 23 14:53:44 2012 reading rational ideals above 2424832 Fri Nov 23 14:53:44 2012 reading algebraic ideals above 2424832 Fri Nov 23 14:53:44 2012 commencing singleton removal, pass 1 Fri Nov 23 14:53:57 2012 relations with 0 large ideals: 13884 Fri Nov 23 14:53:57 2012 relations with 1 large ideals: 126207 Fri Nov 23 14:53:57 2012 relations with 2 large ideals: 519504 Fri Nov 23 14:53:57 2012 relations with 3 large ideals: 988225 Fri Nov 23 14:53:57 2012 relations with 4 large ideals: 810314 Fri Nov 23 14:53:57 2012 relations with 5 large ideals: 182424 Fri Nov 23 14:53:57 2012 relations with 6 large ideals: 61155 Fri Nov 23 14:53:57 2012 relations with 7+ large ideals: 105 Fri Nov 23 14:53:57 2012 2701818 relations and about 5029966 large ideals Fri Nov 23 14:53:57 2012 commencing singleton removal, pass 2 Fri Nov 23 14:54:11 2012 found 2301399 singletons Fri Nov 23 14:54:11 2012 current dataset: 400419 relations and about 687877 large ideals Fri Nov 23 14:54:11 2012 commencing singleton removal, pass 3 Fri Nov 23 14:54:13 2012 found 341994 singletons Fri Nov 23 14:54:13 2012 current dataset: 58425 relations and about 58249 large ideals Fri Nov 23 14:54:13 2012 commencing singleton removal, final pass Fri Nov 23 14:54:14 2012 memory use: 8.9 MB Fri Nov 23 14:54:14 2012 commencing in-memory singleton removal Fri Nov 23 14:54:14 2012 begin with 58425 relations and 58861 unique ideals Fri Nov 23 14:54:14 2012 reduce to 18751 relations and 2675 ideals in 7 passes Fri Nov 23 14:54:14 2012 max relations containing the same ideal: 6 Fri Nov 23 14:54:14 2012 reading rational ideals above 720000 Fri Nov 23 14:54:14 2012 reading algebraic ideals above 720000 Fri Nov 23 14:54:14 2012 commencing singleton removal, final pass Fri Nov 23 14:54:15 2012 keeping 74410 ideals with weight <= 20, new excess is 115708 Fri Nov 23 14:54:15 2012 memory use: 8.9 MB Fri Nov 23 14:54:15 2012 commencing in-memory singleton removal Fri Nov 23 14:54:15 2012 begin with 22634 relations and 74410 unique ideals Fri Nov 23 14:54:15 2012 reduce to 647 relations and 23 ideals in 5 passes Fri Nov 23 14:54:15 2012 max relations containing the same ideal: 2 Fri Nov 23 14:54:15 2012 filtering wants 400791 more relations Fri Nov 23 14:54:15 2012 elapsed time 00:00:53 RelProcTime: 53 -> makeJobFile(): Adjusted to q0=2500001, q1=2600000. -> client 1 q0: 2500001 LatticeSieveTime: 3252 Fri Nov 23 15:48:27 2012 Fri Nov 23 15:48:27 2012 Fri Nov 23 15:48:27 2012 Msieve v. 1.39 Fri Nov 23 15:48:27 2012 random seeds: c5a70071 52c4fb71 Fri Nov 23 15:48:27 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 15:48:28 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 15:48:28 2012 commencing number field sieve (119-digit input) Fri Nov 23 15:48:28 2012 R0: -72683812502624045859101 Fri Nov 23 15:48:28 2012 R1: 2866552890553 Fri Nov 23 15:48:28 2012 A0: 378856774001821928202859440 Fri Nov 23 15:48:28 2012 A1: 40104575548030136777924 Fri Nov 23 15:48:28 2012 A2: -5928605349076127202 Fri Nov 23 15:48:28 2012 A3: -134830190165760 Fri Nov 23 15:48:28 2012 A4: 19712879611 Fri Nov 23 15:48:28 2012 A5: 10920 Fri Nov 23 15:48:28 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 15:48:28 2012 Fri Nov 23 15:48:28 2012 commencing relation filtering Fri Nov 23 15:48:28 2012 commencing duplicate removal, pass 1 Fri Nov 23 15:48:44 2012 found 125063 hash collisions in 3323619 relations Fri Nov 23 15:48:52 2012 added 2856 free relations Fri Nov 23 15:48:52 2012 commencing duplicate removal, pass 2 Fri Nov 23 15:48:53 2012 found 108782 duplicates and 3217693 unique relations Fri Nov 23 15:48:53 2012 memory use: 37.8 MB Fri Nov 23 15:48:53 2012 reading rational ideals above 2555904 Fri Nov 23 15:48:53 2012 reading algebraic ideals above 2555904 Fri Nov 23 15:48:53 2012 commencing singleton removal, pass 1 Fri Nov 23 15:49:09 2012 relations with 0 large ideals: 18678 Fri Nov 23 15:49:09 2012 relations with 1 large ideals: 170407 Fri Nov 23 15:49:09 2012 relations with 2 large ideals: 677790 Fri Nov 23 15:49:09 2012 relations with 3 large ideals: 1230699 Fri Nov 23 15:49:09 2012 relations with 4 large ideals: 922097 Fri Nov 23 15:49:09 2012 relations with 5 large ideals: 139649 Fri Nov 23 15:49:09 2012 relations with 6 large ideals: 58318 Fri Nov 23 15:49:09 2012 relations with 7+ large ideals: 55 Fri Nov 23 15:49:09 2012 3217693 relations and about 5617753 large ideals Fri Nov 23 15:49:09 2012 commencing singleton removal, pass 2 Fri Nov 23 15:49:25 2012 found 2620146 singletons Fri Nov 23 15:49:25 2012 current dataset: 597547 relations and about 969152 large ideals Fri Nov 23 15:49:25 2012 commencing singleton removal, pass 3 Fri Nov 23 15:49:28 2012 found 488511 singletons Fri Nov 23 15:49:28 2012 current dataset: 109036 relations and about 123018 large ideals Fri Nov 23 15:49:28 2012 commencing singleton removal, final pass Fri Nov 23 15:49:29 2012 memory use: 9.8 MB Fri Nov 23 15:49:29 2012 commencing in-memory singleton removal Fri Nov 23 15:49:29 2012 begin with 109036 relations and 124662 unique ideals Fri Nov 23 15:49:29 2012 reduce to 26718 relations and 4571 ideals in 7 passes Fri Nov 23 15:49:29 2012 max relations containing the same ideal: 6 Fri Nov 23 15:49:29 2012 reading rational ideals above 720000 Fri Nov 23 15:49:29 2012 reading algebraic ideals above 720000 Fri Nov 23 15:49:29 2012 commencing singleton removal, final pass Fri Nov 23 15:49:30 2012 keeping 93313 ideals with weight <= 20, new excess is 115722 Fri Nov 23 15:49:30 2012 memory use: 9.8 MB Fri Nov 23 15:49:30 2012 commencing in-memory singleton removal Fri Nov 23 15:49:30 2012 begin with 30649 relations and 93313 unique ideals Fri Nov 23 15:49:30 2012 reduce to 654 relations and 27 ideals in 5 passes Fri Nov 23 15:49:30 2012 max relations containing the same ideal: 2 Fri Nov 23 15:49:30 2012 filtering wants 400830 more relations Fri Nov 23 15:49:30 2012 elapsed time 00:01:03 RelProcTime: 63 -> makeJobFile(): Adjusted to q0=2600001, q1=2700000. -> client 1 q0: 2600001 LatticeSieveTime: 3281 Fri Nov 23 16:44:12 2012 Fri Nov 23 16:44:12 2012 Fri Nov 23 16:44:12 2012 Msieve v. 1.39 Fri Nov 23 16:44:12 2012 random seeds: 257c9149 2eb45339 Fri Nov 23 16:44:12 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 16:44:12 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 16:44:12 2012 commencing number field sieve (119-digit input) Fri Nov 23 16:44:12 2012 R0: -72683812502624045859101 Fri Nov 23 16:44:12 2012 R1: 2866552890553 Fri Nov 23 16:44:12 2012 A0: 378856774001821928202859440 Fri Nov 23 16:44:12 2012 A1: 40104575548030136777924 Fri Nov 23 16:44:12 2012 A2: -5928605349076127202 Fri Nov 23 16:44:12 2012 A3: -134830190165760 Fri Nov 23 16:44:12 2012 A4: 19712879611 Fri Nov 23 16:44:12 2012 A5: 10920 Fri Nov 23 16:44:12 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 16:44:12 2012 Fri Nov 23 16:44:12 2012 commencing relation filtering Fri Nov 23 16:44:12 2012 commencing duplicate removal, pass 1 Fri Nov 23 16:44:31 2012 found 164968 hash collisions in 3874031 relations Fri Nov 23 16:44:40 2012 added 2134 free relations Fri Nov 23 16:44:40 2012 commencing duplicate removal, pass 2 Fri Nov 23 16:44:41 2012 found 143416 duplicates and 3732749 unique relations Fri Nov 23 16:44:41 2012 memory use: 39.7 MB Fri Nov 23 16:44:41 2012 reading rational ideals above 2686976 Fri Nov 23 16:44:41 2012 reading algebraic ideals above 2686976 Fri Nov 23 16:44:41 2012 commencing singleton removal, pass 1 Fri Nov 23 16:44:59 2012 relations with 0 large ideals: 23937 Fri Nov 23 16:44:59 2012 relations with 1 large ideals: 217398 Fri Nov 23 16:44:59 2012 relations with 2 large ideals: 842963 Fri Nov 23 16:44:59 2012 relations with 3 large ideals: 1470901 Fri Nov 23 16:44:59 2012 relations with 4 large ideals: 1025426 Fri Nov 23 16:44:59 2012 relations with 5 large ideals: 96065 Fri Nov 23 16:44:59 2012 relations with 6 large ideals: 56046 Fri Nov 23 16:44:59 2012 relations with 7+ large ideals: 13 Fri Nov 23 16:44:59 2012 3732749 relations and about 6145021 large ideals Fri Nov 23 16:44:59 2012 commencing singleton removal, pass 2 Fri Nov 23 16:45:18 2012 found 2897610 singletons Fri Nov 23 16:45:18 2012 current dataset: 835139 relations and about 1275144 large ideals Fri Nov 23 16:45:18 2012 commencing singleton removal, pass 3 Fri Nov 23 16:45:22 2012 found 643133 singletons Fri Nov 23 16:45:22 2012 current dataset: 192006 relations and about 230412 large ideals Fri Nov 23 16:45:22 2012 commencing singleton removal, final pass Fri Nov 23 16:45:24 2012 memory use: 11.7 MB Fri Nov 23 16:45:24 2012 commencing in-memory singleton removal Fri Nov 23 16:45:24 2012 begin with 192006 relations and 234365 unique ideals Fri Nov 23 16:45:24 2012 reduce to 36844 relations and 7500 ideals in 8 passes Fri Nov 23 16:45:24 2012 max relations containing the same ideal: 5 Fri Nov 23 16:45:24 2012 reading rational ideals above 720000 Fri Nov 23 16:45:24 2012 reading algebraic ideals above 720000 Fri Nov 23 16:45:24 2012 commencing singleton removal, final pass Fri Nov 23 16:45:25 2012 keeping 112244 ideals with weight <= 20, new excess is 115715 Fri Nov 23 16:45:25 2012 memory use: 9.8 MB Fri Nov 23 16:45:25 2012 commencing in-memory singleton removal Fri Nov 23 16:45:25 2012 begin with 39625 relations and 112244 unique ideals Fri Nov 23 16:45:25 2012 reduce to 660 relations and 31 ideals in 5 passes Fri Nov 23 16:45:25 2012 max relations containing the same ideal: 2 Fri Nov 23 16:45:25 2012 filtering wants 400800 more relations Fri Nov 23 16:45:25 2012 elapsed time 00:01:13 RelProcTime: 73 -> makeJobFile(): Adjusted to q0=2700001, q1=2800000. -> client 1 q0: 2700001 LatticeSieveTime: 3271 Fri Nov 23 17:39:57 2012 Fri Nov 23 17:39:57 2012 Fri Nov 23 17:39:57 2012 Msieve v. 1.39 Fri Nov 23 17:39:57 2012 random seeds: 7cf63ac1 4fe51157 Fri Nov 23 17:39:57 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 17:39:58 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 17:39:58 2012 commencing number field sieve (119-digit input) Fri Nov 23 17:39:58 2012 R0: -72683812502624045859101 Fri Nov 23 17:39:58 2012 R1: 2866552890553 Fri Nov 23 17:39:58 2012 A0: 378856774001821928202859440 Fri Nov 23 17:39:58 2012 A1: 40104575548030136777924 Fri Nov 23 17:39:58 2012 A2: -5928605349076127202 Fri Nov 23 17:39:58 2012 A3: -134830190165760 Fri Nov 23 17:39:58 2012 A4: 19712879611 Fri Nov 23 17:39:58 2012 A5: 10920 Fri Nov 23 17:39:58 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 17:39:58 2012 Fri Nov 23 17:39:58 2012 commencing relation filtering Fri Nov 23 17:39:58 2012 commencing duplicate removal, pass 1 Fri Nov 23 17:40:19 2012 found 209379 hash collisions in 4423036 relations Fri Nov 23 17:40:28 2012 added 1649 free relations Fri Nov 23 17:40:28 2012 commencing duplicate removal, pass 2 Fri Nov 23 17:40:30 2012 found 182092 duplicates and 4242593 unique relations Fri Nov 23 17:40:30 2012 memory use: 39.7 MB Fri Nov 23 17:40:30 2012 reading rational ideals above 2818048 Fri Nov 23 17:40:30 2012 reading algebraic ideals above 2818048 Fri Nov 23 17:40:30 2012 commencing singleton removal, pass 1 Fri Nov 23 17:40:50 2012 relations with 0 large ideals: 29209 Fri Nov 23 17:40:50 2012 relations with 1 large ideals: 263206 Fri Nov 23 17:40:50 2012 relations with 2 large ideals: 997084 Fri Nov 23 17:40:50 2012 relations with 3 large ideals: 1690260 Fri Nov 23 17:40:50 2012 relations with 4 large ideals: 1130723 Fri Nov 23 17:40:50 2012 relations with 5 large ideals: 76140 Fri Nov 23 17:40:50 2012 relations with 6 large ideals: 55966 Fri Nov 23 17:40:50 2012 relations with 7+ large ideals: 5 Fri Nov 23 17:40:50 2012 4242593 relations and about 6618557 large ideals Fri Nov 23 17:40:50 2012 commencing singleton removal, pass 2 Fri Nov 23 17:41:12 2012 found 3134846 singletons Fri Nov 23 17:41:12 2012 current dataset: 1107747 relations and about 1592964 large ideals Fri Nov 23 17:41:12 2012 commencing singleton removal, pass 3 Fri Nov 23 17:41:18 2012 found 790879 singletons Fri Nov 23 17:41:18 2012 current dataset: 316868 relations and about 387036 large ideals Fri Nov 23 17:41:18 2012 commencing singleton removal, pass 4 Fri Nov 23 17:41:20 2012 found 209149 singletons Fri Nov 23 17:41:20 2012 current dataset: 107719 relations and about 81486 large ideals Fri Nov 23 17:41:20 2012 commencing singleton removal, final pass Fri Nov 23 17:41:21 2012 memory use: 9.8 MB Fri Nov 23 17:41:21 2012 commencing in-memory singleton removal Fri Nov 23 17:41:21 2012 begin with 107719 relations and 83345 unique ideals Fri Nov 23 17:41:21 2012 reduce to 49301 relations and 12061 ideals in 8 passes Fri Nov 23 17:41:21 2012 max relations containing the same ideal: 4 Fri Nov 23 17:41:21 2012 reading rational ideals above 720000 Fri Nov 23 17:41:21 2012 reading algebraic ideals above 720000 Fri Nov 23 17:41:21 2012 commencing singleton removal, final pass Fri Nov 23 17:41:22 2012 keeping 136340 ideals with weight <= 20, new excess is 115709 Fri Nov 23 17:41:22 2012 memory use: 9.8 MB Fri Nov 23 17:41:22 2012 commencing in-memory singleton removal Fri Nov 23 17:41:22 2012 begin with 51071 relations and 136340 unique ideals Fri Nov 23 17:41:22 2012 reduce to 666 relations and 33 ideals in 6 passes Fri Nov 23 17:41:22 2012 max relations containing the same ideal: 2 Fri Nov 23 17:41:22 2012 filtering wants 400767 more relations Fri Nov 23 17:41:22 2012 elapsed time 00:01:25 RelProcTime: 85 -> makeJobFile(): Adjusted to q0=2800001, q1=2900000. -> client 1 q0: 2800001 LatticeSieveTime: 3301 Fri Nov 23 18:36:24 2012 Fri Nov 23 18:36:24 2012 Fri Nov 23 18:36:24 2012 Msieve v. 1.39 Fri Nov 23 18:36:24 2012 random seeds: 15ee14c4 d5e62e61 Fri Nov 23 18:36:24 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 18:36:24 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 18:36:24 2012 commencing number field sieve (119-digit input) Fri Nov 23 18:36:24 2012 R0: -72683812502624045859101 Fri Nov 23 18:36:24 2012 R1: 2866552890553 Fri Nov 23 18:36:24 2012 A0: 378856774001821928202859440 Fri Nov 23 18:36:24 2012 A1: 40104575548030136777924 Fri Nov 23 18:36:24 2012 A2: -5928605349076127202 Fri Nov 23 18:36:24 2012 A3: -134830190165760 Fri Nov 23 18:36:24 2012 A4: 19712879611 Fri Nov 23 18:36:24 2012 A5: 10920 Fri Nov 23 18:36:24 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 18:36:24 2012 Fri Nov 23 18:36:24 2012 commencing relation filtering Fri Nov 23 18:36:24 2012 commencing duplicate removal, pass 1 Fri Nov 23 18:36:48 2012 found 258320 hash collisions in 4974494 relations Fri Nov 23 18:36:58 2012 added 1401 free relations Fri Nov 23 18:36:58 2012 commencing duplicate removal, pass 2 Fri Nov 23 18:36:59 2012 found 224641 duplicates and 4751254 unique relations Fri Nov 23 18:36:59 2012 memory use: 39.7 MB Fri Nov 23 18:36:59 2012 reading rational ideals above 2818048 Fri Nov 23 18:36:59 2012 reading algebraic ideals above 2818048 Fri Nov 23 18:36:59 2012 commencing singleton removal, pass 1 Fri Nov 23 18:37:23 2012 relations with 0 large ideals: 29732 Fri Nov 23 18:37:23 2012 relations with 1 large ideals: 269963 Fri Nov 23 18:37:23 2012 relations with 2 large ideals: 1039448 Fri Nov 23 18:37:23 2012 relations with 3 large ideals: 1819383 Fri Nov 23 18:37:23 2012 relations with 4 large ideals: 1327087 Fri Nov 23 18:37:23 2012 relations with 5 large ideals: 199893 Fri Nov 23 18:37:23 2012 relations with 6 large ideals: 65698 Fri Nov 23 18:37:23 2012 relations with 7+ large ideals: 50 Fri Nov 23 18:37:23 2012 4751254 relations and about 7065972 large ideals Fri Nov 23 18:37:23 2012 commencing singleton removal, pass 2 Fri Nov 23 18:37:46 2012 found 3334482 singletons Fri Nov 23 18:37:46 2012 current dataset: 1416772 relations and about 1937751 large ideals Fri Nov 23 18:37:46 2012 commencing singleton removal, pass 3 Fri Nov 23 18:37:54 2012 found 926161 singletons Fri Nov 23 18:37:54 2012 current dataset: 490611 relations and about 605535 large ideals Fri Nov 23 18:37:54 2012 commencing singleton removal, pass 4 Fri Nov 23 18:37:57 2012 found 306899 singletons Fri Nov 23 18:37:57 2012 current dataset: 183712 relations and about 172343 large ideals Fri Nov 23 18:37:57 2012 commencing singleton removal, final pass Fri Nov 23 18:37:59 2012 memory use: 11.7 MB Fri Nov 23 18:37:59 2012 commencing in-memory singleton removal Fri Nov 23 18:37:59 2012 begin with 183712 relations and 176517 unique ideals Fri Nov 23 18:37:59 2012 reduce to 56960 relations and 16989 ideals in 10 passes Fri Nov 23 18:37:59 2012 max relations containing the same ideal: 8 Fri Nov 23 18:37:59 2012 reading rational ideals above 720000 Fri Nov 23 18:37:59 2012 reading algebraic ideals above 720000 Fri Nov 23 18:37:59 2012 commencing singleton removal, final pass Fri Nov 23 18:38:00 2012 keeping 152198 ideals with weight <= 20, new excess is 115715 Fri Nov 23 18:38:00 2012 memory use: 9.8 MB Fri Nov 23 18:38:00 2012 commencing in-memory singleton removal Fri Nov 23 18:38:00 2012 begin with 59002 relations and 152198 unique ideals Fri Nov 23 18:38:00 2012 reduce to 676 relations and 44 ideals in 6 passes Fri Nov 23 18:38:00 2012 max relations containing the same ideal: 2 Fri Nov 23 18:38:00 2012 filtering wants 400791 more relations Fri Nov 23 18:38:00 2012 elapsed time 00:01:36 RelProcTime: 96 -> makeJobFile(): Adjusted to q0=2900001, q1=3000000. -> client 1 q0: 2900001 LatticeSieveTime: 3289 Fri Nov 23 19:32:50 2012 Fri Nov 23 19:32:50 2012 Fri Nov 23 19:32:50 2012 Msieve v. 1.39 Fri Nov 23 19:32:50 2012 random seeds: d37122a9 296259ba Fri Nov 23 19:32:50 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 19:32:51 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 19:32:51 2012 commencing number field sieve (119-digit input) Fri Nov 23 19:32:51 2012 R0: -72683812502624045859101 Fri Nov 23 19:32:51 2012 R1: 2866552890553 Fri Nov 23 19:32:51 2012 A0: 378856774001821928202859440 Fri Nov 23 19:32:51 2012 A1: 40104575548030136777924 Fri Nov 23 19:32:51 2012 A2: -5928605349076127202 Fri Nov 23 19:32:51 2012 A3: -134830190165760 Fri Nov 23 19:32:51 2012 A4: 19712879611 Fri Nov 23 19:32:51 2012 A5: 10920 Fri Nov 23 19:32:51 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 19:32:51 2012 Fri Nov 23 19:32:51 2012 commencing relation filtering Fri Nov 23 19:32:51 2012 commencing duplicate removal, pass 1 Fri Nov 23 19:33:17 2012 found 310100 hash collisions in 5519284 relations Fri Nov 23 19:33:28 2012 added 1006 free relations Fri Nov 23 19:33:28 2012 commencing duplicate removal, pass 2 Fri Nov 23 19:33:30 2012 found 269867 duplicates and 5250423 unique relations Fri Nov 23 19:33:30 2012 memory use: 43.3 MB Fri Nov 23 19:33:30 2012 reading rational ideals above 2949120 Fri Nov 23 19:33:30 2012 reading algebraic ideals above 2949120 Fri Nov 23 19:33:30 2012 commencing singleton removal, pass 1 Fri Nov 23 19:33:56 2012 relations with 0 large ideals: 35877 Fri Nov 23 19:33:56 2012 relations with 1 large ideals: 323448 Fri Nov 23 19:33:56 2012 relations with 2 large ideals: 1213185 Fri Nov 23 19:33:56 2012 relations with 3 large ideals: 2053247 Fri Nov 23 19:33:56 2012 relations with 4 large ideals: 1411824 Fri Nov 23 19:33:56 2012 relations with 5 large ideals: 150261 Fri Nov 23 19:33:56 2012 relations with 6 large ideals: 62560 Fri Nov 23 19:33:56 2012 relations with 7+ large ideals: 21 Fri Nov 23 19:33:56 2012 5250423 relations and about 7453014 large ideals Fri Nov 23 19:33:56 2012 commencing singleton removal, pass 2 Fri Nov 23 19:34:22 2012 found 3498839 singletons Fri Nov 23 19:34:22 2012 current dataset: 1751584 relations and about 2262570 large ideals Fri Nov 23 19:34:22 2012 commencing singleton removal, pass 3 Fri Nov 23 19:34:31 2012 found 1034443 singletons Fri Nov 23 19:34:31 2012 current dataset: 717141 relations and about 852119 large ideals Fri Nov 23 19:34:31 2012 commencing singleton removal, pass 4 Fri Nov 23 19:34:36 2012 found 399985 singletons Fri Nov 23 19:34:36 2012 current dataset: 317156 relations and about 318099 large ideals Fri Nov 23 19:34:36 2012 commencing singleton removal, final pass Fri Nov 23 19:34:38 2012 memory use: 15.3 MB Fri Nov 23 19:34:38 2012 commencing in-memory singleton removal Fri Nov 23 19:34:38 2012 begin with 317156 relations and 327359 unique ideals Fri Nov 23 19:34:38 2012 reduce to 76820 relations and 26300 ideals in 10 passes Fri Nov 23 19:34:38 2012 max relations containing the same ideal: 6 Fri Nov 23 19:34:38 2012 reading rational ideals above 720000 Fri Nov 23 19:34:38 2012 reading algebraic ideals above 720000 Fri Nov 23 19:34:38 2012 commencing singleton removal, final pass Fri Nov 23 19:34:39 2012 keeping 188592 ideals with weight <= 20, new excess is 115709 Fri Nov 23 19:34:39 2012 memory use: 11.7 MB Fri Nov 23 19:34:39 2012 commencing in-memory singleton removal Fri Nov 23 19:34:39 2012 begin with 77919 relations and 188592 unique ideals Fri Nov 23 19:34:39 2012 reduce to 683 relations and 41 ideals in 6 passes Fri Nov 23 19:34:39 2012 max relations containing the same ideal: 2 Fri Nov 23 19:34:39 2012 filtering wants 400740 more relations Fri Nov 23 19:34:39 2012 elapsed time 00:01:49 RelProcTime: 109 -> makeJobFile(): Adjusted to q0=3000001, q1=3100000. -> client 1 q0: 3000001 LatticeSieveTime: 3225 Fri Nov 23 20:28:25 2012 Fri Nov 23 20:28:25 2012 Fri Nov 23 20:28:25 2012 Msieve v. 1.39 Fri Nov 23 20:28:25 2012 random seeds: 4cc152c6 9bc2ab5d Fri Nov 23 20:28:25 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 20:28:25 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 20:28:25 2012 commencing number field sieve (119-digit input) Fri Nov 23 20:28:25 2012 R0: -72683812502624045859101 Fri Nov 23 20:28:25 2012 R1: 2866552890553 Fri Nov 23 20:28:25 2012 A0: 378856774001821928202859440 Fri Nov 23 20:28:25 2012 A1: 40104575548030136777924 Fri Nov 23 20:28:25 2012 A2: -5928605349076127202 Fri Nov 23 20:28:25 2012 A3: -134830190165760 Fri Nov 23 20:28:25 2012 A4: 19712879611 Fri Nov 23 20:28:25 2012 A5: 10920 Fri Nov 23 20:28:25 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 20:28:25 2012 Fri Nov 23 20:28:25 2012 commencing relation filtering Fri Nov 23 20:28:25 2012 commencing duplicate removal, pass 1 Fri Nov 23 20:28:54 2012 found 364961 hash collisions in 6054737 relations Fri Nov 23 20:29:05 2012 added 802 free relations Fri Nov 23 20:29:05 2012 commencing duplicate removal, pass 2 Fri Nov 23 20:29:07 2012 found 317858 duplicates and 5737681 unique relations Fri Nov 23 20:29:07 2012 memory use: 43.3 MB Fri Nov 23 20:29:07 2012 reading rational ideals above 3080192 Fri Nov 23 20:29:07 2012 reading algebraic ideals above 3080192 Fri Nov 23 20:29:07 2012 commencing singleton removal, pass 1 Fri Nov 23 20:29:35 2012 relations with 0 large ideals: 42709 Fri Nov 23 20:29:35 2012 relations with 1 large ideals: 378989 Fri Nov 23 20:29:35 2012 relations with 2 large ideals: 1389837 Fri Nov 23 20:29:35 2012 relations with 3 large ideals: 2280129 Fri Nov 23 20:29:35 2012 relations with 4 large ideals: 1485322 Fri Nov 23 20:29:35 2012 relations with 5 large ideals: 100414 Fri Nov 23 20:29:35 2012 relations with 6 large ideals: 60275 Fri Nov 23 20:29:35 2012 relations with 7+ large ideals: 6 Fri Nov 23 20:29:35 2012 5737681 relations and about 7801181 large ideals Fri Nov 23 20:29:35 2012 commencing singleton removal, pass 2 Fri Nov 23 20:30:04 2012 found 3631225 singletons Fri Nov 23 20:30:04 2012 current dataset: 2106456 relations and about 2580543 large ideals Fri Nov 23 20:30:04 2012 commencing singleton removal, pass 3 Fri Nov 23 20:30:15 2012 found 1115194 singletons Fri Nov 23 20:30:15 2012 current dataset: 991262 relations and about 1127040 large ideals Fri Nov 23 20:30:15 2012 commencing singleton removal, pass 4 Fri Nov 23 20:30:21 2012 found 475192 singletons Fri Nov 23 20:30:21 2012 current dataset: 516070 relations and about 526692 large ideals Fri Nov 23 20:30:21 2012 commencing singleton removal, final pass Fri Nov 23 20:30:24 2012 memory use: 15.3 MB Fri Nov 23 20:30:24 2012 commencing in-memory singleton removal Fri Nov 23 20:30:24 2012 begin with 516070 relations and 544716 unique ideals Fri Nov 23 20:30:24 2012 reduce to 103652 relations and 40455 ideals in 13 passes Fri Nov 23 20:30:24 2012 max relations containing the same ideal: 6 Fri Nov 23 20:30:24 2012 reading rational ideals above 720000 Fri Nov 23 20:30:24 2012 reading algebraic ideals above 720000 Fri Nov 23 20:30:24 2012 commencing singleton removal, final pass Fri Nov 23 20:30:25 2012 keeping 236991 ideals with weight <= 20, new excess is 115710 Fri Nov 23 20:30:25 2012 memory use: 11.7 MB Fri Nov 23 20:30:25 2012 commencing in-memory singleton removal Fri Nov 23 20:30:25 2012 begin with 104699 relations and 236991 unique ideals Fri Nov 23 20:30:25 2012 reduce to 691 relations and 51 ideals in 6 passes Fri Nov 23 20:30:25 2012 max relations containing the same ideal: 2 Fri Nov 23 20:30:25 2012 filtering wants 400749 more relations Fri Nov 23 20:30:25 2012 elapsed time 00:02:00 RelProcTime: 120 -> makeJobFile(): Adjusted to q0=3100001, q1=3200000. -> client 1 q0: 3100001 LatticeSieveTime: 3374 Fri Nov 23 21:26:40 2012 Fri Nov 23 21:26:40 2012 Fri Nov 23 21:26:40 2012 Msieve v. 1.39 Fri Nov 23 21:26:40 2012 random seeds: 2b3e5af1 2b0592f4 Fri Nov 23 21:26:40 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 21:26:41 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 21:26:41 2012 commencing number field sieve (119-digit input) Fri Nov 23 21:26:41 2012 R0: -72683812502624045859101 Fri Nov 23 21:26:41 2012 R1: 2866552890553 Fri Nov 23 21:26:41 2012 A0: 378856774001821928202859440 Fri Nov 23 21:26:41 2012 A1: 40104575548030136777924 Fri Nov 23 21:26:41 2012 A2: -5928605349076127202 Fri Nov 23 21:26:41 2012 A3: -134830190165760 Fri Nov 23 21:26:41 2012 A4: 19712879611 Fri Nov 23 21:26:41 2012 A5: 10920 Fri Nov 23 21:26:41 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 21:26:41 2012 Fri Nov 23 21:26:41 2012 commencing relation filtering Fri Nov 23 21:26:41 2012 commencing duplicate removal, pass 1 Fri Nov 23 21:27:12 2012 found 425686 hash collisions in 6613920 relations Fri Nov 23 21:27:23 2012 added 645 free relations Fri Nov 23 21:27:23 2012 commencing duplicate removal, pass 2 Fri Nov 23 21:27:25 2012 found 370860 duplicates and 6243705 unique relations Fri Nov 23 21:27:25 2012 memory use: 43.3 MB Fri Nov 23 21:27:25 2012 reading rational ideals above 3211264 Fri Nov 23 21:27:25 2012 reading algebraic ideals above 3211264 Fri Nov 23 21:27:25 2012 commencing singleton removal, pass 1 Fri Nov 23 21:27:56 2012 relations with 0 large ideals: 50057 Fri Nov 23 21:27:56 2012 relations with 1 large ideals: 435620 Fri Nov 23 21:27:56 2012 relations with 2 large ideals: 1564936 Fri Nov 23 21:27:56 2012 relations with 3 large ideals: 2501019 Fri Nov 23 21:27:56 2012 relations with 4 large ideals: 1565777 Fri Nov 23 21:27:56 2012 relations with 5 large ideals: 66924 Fri Nov 23 21:27:56 2012 relations with 6 large ideals: 59372 Fri Nov 23 21:27:56 2012 relations with 7+ large ideals: 0 Fri Nov 23 21:27:56 2012 6243705 relations and about 8136199 large ideals Fri Nov 23 21:27:56 2012 commencing singleton removal, pass 2 Fri Nov 23 21:28:27 2012 found 3742041 singletons Fri Nov 23 21:28:27 2012 current dataset: 2501664 relations and about 2910973 large ideals Fri Nov 23 21:28:27 2012 commencing singleton removal, pass 3 Fri Nov 23 21:28:40 2012 found 1174698 singletons Fri Nov 23 21:28:40 2012 current dataset: 1326966 relations and about 1439428 large ideals Fri Nov 23 21:28:40 2012 commencing singleton removal, pass 4 Fri Nov 23 21:28:47 2012 found 525463 singletons Fri Nov 23 21:28:47 2012 current dataset: 801503 relations and about 808186 large ideals Fri Nov 23 21:28:47 2012 commencing singleton removal, pass 5 Fri Nov 23 21:28:52 2012 found 281382 singletons Fri Nov 23 21:28:52 2012 current dataset: 520121 relations and about 478129 large ideals Fri Nov 23 21:28:52 2012 commencing singleton removal, final pass Fri Nov 23 21:28:55 2012 memory use: 15.3 MB Fri Nov 23 21:28:55 2012 commencing in-memory singleton removal Fri Nov 23 21:28:55 2012 begin with 520121 relations and 497064 unique ideals Fri Nov 23 21:28:55 2012 reduce to 143691 relations and 64857 ideals in 16 passes Fri Nov 23 21:28:55 2012 max relations containing the same ideal: 6 Fri Nov 23 21:28:56 2012 reading rational ideals above 720000 Fri Nov 23 21:28:56 2012 reading algebraic ideals above 720000 Fri Nov 23 21:28:56 2012 commencing singleton removal, final pass Fri Nov 23 21:28:57 2012 keeping 300195 ideals with weight <= 20, new excess is 115707 Fri Nov 23 21:28:57 2012 memory use: 11.7 MB Fri Nov 23 21:28:57 2012 commencing in-memory singleton removal Fri Nov 23 21:28:57 2012 begin with 144353 relations and 300195 unique ideals Fri Nov 23 21:28:57 2012 reduce to 696 relations and 52 ideals in 6 passes Fri Nov 23 21:28:57 2012 max relations containing the same ideal: 3 Fri Nov 23 21:28:57 2012 filtering wants 400728 more relations Fri Nov 23 21:28:57 2012 elapsed time 00:02:17 RelProcTime: 137 -> makeJobFile(): Adjusted to q0=3200001, q1=3300000. -> client 1 q0: 3200001 LatticeSieveTime: 3409 Fri Nov 23 22:25:47 2012 Fri Nov 23 22:25:47 2012 Fri Nov 23 22:25:47 2012 Msieve v. 1.39 Fri Nov 23 22:25:47 2012 random seeds: b07d2623 16c6eb3d Fri Nov 23 22:25:47 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 22:25:48 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 22:25:48 2012 commencing number field sieve (119-digit input) Fri Nov 23 22:25:48 2012 R0: -72683812502624045859101 Fri Nov 23 22:25:48 2012 R1: 2866552890553 Fri Nov 23 22:25:48 2012 A0: 378856774001821928202859440 Fri Nov 23 22:25:48 2012 A1: 40104575548030136777924 Fri Nov 23 22:25:48 2012 A2: -5928605349076127202 Fri Nov 23 22:25:48 2012 A3: -134830190165760 Fri Nov 23 22:25:48 2012 A4: 19712879611 Fri Nov 23 22:25:48 2012 A5: 10920 Fri Nov 23 22:25:48 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 22:25:48 2012 Fri Nov 23 22:25:48 2012 commencing relation filtering Fri Nov 23 22:25:48 2012 commencing duplicate removal, pass 1 Fri Nov 23 22:26:22 2012 found 489592 hash collisions in 7172992 relations Fri Nov 23 22:26:34 2012 added 505 free relations Fri Nov 23 22:26:34 2012 commencing duplicate removal, pass 2 Fri Nov 23 22:26:36 2012 found 426839 duplicates and 6746658 unique relations Fri Nov 23 22:26:36 2012 memory use: 43.3 MB Fri Nov 23 22:26:36 2012 reading rational ideals above 3342336 Fri Nov 23 22:26:36 2012 reading algebraic ideals above 3342336 Fri Nov 23 22:26:36 2012 commencing singleton removal, pass 1 Fri Nov 23 22:27:10 2012 relations with 0 large ideals: 57202 Fri Nov 23 22:27:10 2012 relations with 1 large ideals: 489973 Fri Nov 23 22:27:10 2012 relations with 2 large ideals: 1725621 Fri Nov 23 22:27:10 2012 relations with 3 large ideals: 2703957 Fri Nov 23 22:27:10 2012 relations with 4 large ideals: 1652156 Fri Nov 23 22:27:10 2012 relations with 5 large ideals: 58018 Fri Nov 23 22:27:10 2012 relations with 6 large ideals: 59731 Fri Nov 23 22:27:10 2012 relations with 7+ large ideals: 0 Fri Nov 23 22:27:10 2012 6746658 relations and about 8444022 large ideals Fri Nov 23 22:27:10 2012 commencing singleton removal, pass 2 Fri Nov 23 22:27:43 2012 found 3828968 singletons Fri Nov 23 22:27:43 2012 current dataset: 2917690 relations and about 3234316 large ideals Fri Nov 23 22:27:43 2012 commencing singleton removal, pass 3 Fri Nov 23 22:27:58 2012 found 1209964 singletons Fri Nov 23 22:27:58 2012 current dataset: 1707726 relations and about 1768509 large ideals Fri Nov 23 22:27:58 2012 commencing singleton removal, pass 4 Fri Nov 23 22:28:08 2012 found 547116 singletons Fri Nov 23 22:28:08 2012 current dataset: 1160610 relations and about 1138210 large ideals Fri Nov 23 22:28:08 2012 commencing singleton removal, pass 5 Fri Nov 23 22:28:14 2012 found 306785 singletons Fri Nov 23 22:28:14 2012 current dataset: 853825 relations and about 794269 large ideals Fri Nov 23 22:28:14 2012 commencing singleton removal, final pass Fri Nov 23 22:28:20 2012 memory use: 22.6 MB Fri Nov 23 22:28:20 2012 commencing in-memory singleton removal Fri Nov 23 22:28:20 2012 begin with 853825 relations and 829912 unique ideals Fri Nov 23 22:28:20 2012 reduce to 206855 relations and 109128 ideals in 22 passes Fri Nov 23 22:28:20 2012 max relations containing the same ideal: 7 Fri Nov 23 22:28:20 2012 reading rational ideals above 720000 Fri Nov 23 22:28:20 2012 reading algebraic ideals above 720000 Fri Nov 23 22:28:20 2012 commencing singleton removal, final pass Fri Nov 23 22:28:22 2012 keeping 388255 ideals with weight <= 20, new excess is 115707 Fri Nov 23 22:28:22 2012 memory use: 15.3 MB Fri Nov 23 22:28:22 2012 commencing in-memory singleton removal Fri Nov 23 22:28:22 2012 begin with 207371 relations and 388255 unique ideals Fri Nov 23 22:28:22 2012 reduce to 695 relations and 48 ideals in 6 passes Fri Nov 23 22:28:22 2012 max relations containing the same ideal: 2 Fri Nov 23 22:28:22 2012 filtering wants 400719 more relations Fri Nov 23 22:28:22 2012 elapsed time 00:02:35 RelProcTime: 155 -> makeJobFile(): Adjusted to q0=3300001, q1=3400000. -> client 1 q0: 3300001 LatticeSieveTime: 3320 Fri Nov 23 23:23:43 2012 Fri Nov 23 23:23:43 2012 Fri Nov 23 23:23:43 2012 Msieve v. 1.39 Fri Nov 23 23:23:43 2012 random seeds: a23d89e6 ca2b9429 Fri Nov 23 23:23:43 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Fri Nov 23 23:23:44 2012 no P-1/P+1/ECM available, skipping Fri Nov 23 23:23:44 2012 commencing number field sieve (119-digit input) Fri Nov 23 23:23:44 2012 R0: -72683812502624045859101 Fri Nov 23 23:23:44 2012 R1: 2866552890553 Fri Nov 23 23:23:44 2012 A0: 378856774001821928202859440 Fri Nov 23 23:23:44 2012 A1: 40104575548030136777924 Fri Nov 23 23:23:44 2012 A2: -5928605349076127202 Fri Nov 23 23:23:44 2012 A3: -134830190165760 Fri Nov 23 23:23:44 2012 A4: 19712879611 Fri Nov 23 23:23:44 2012 A5: 10920 Fri Nov 23 23:23:44 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Fri Nov 23 23:23:44 2012 Fri Nov 23 23:23:44 2012 commencing relation filtering Fri Nov 23 23:23:44 2012 commencing duplicate removal, pass 1 Fri Nov 23 23:24:20 2012 found 555027 hash collisions in 7718579 relations Fri Nov 23 23:24:33 2012 added 382 free relations Fri Nov 23 23:24:33 2012 commencing duplicate removal, pass 2 Fri Nov 23 23:24:35 2012 found 484145 duplicates and 7234816 unique relations Fri Nov 23 23:24:35 2012 memory use: 50.6 MB Fri Nov 23 23:24:35 2012 reading rational ideals above 3342336 Fri Nov 23 23:24:35 2012 reading algebraic ideals above 3342336 Fri Nov 23 23:24:35 2012 commencing singleton removal, pass 1 Fri Nov 23 23:25:10 2012 relations with 0 large ideals: 58481 Fri Nov 23 23:25:10 2012 relations with 1 large ideals: 503527 Fri Nov 23 23:25:10 2012 relations with 2 large ideals: 1790223 Fri Nov 23 23:25:10 2012 relations with 3 large ideals: 2855180 Fri Nov 23 23:25:10 2012 relations with 4 large ideals: 1826339 Fri Nov 23 23:25:10 2012 relations with 5 large ideals: 138225 Fri Nov 23 23:25:10 2012 relations with 6 large ideals: 62835 Fri Nov 23 23:25:10 2012 relations with 7+ large ideals: 6 Fri Nov 23 23:25:10 2012 7234816 relations and about 8736769 large ideals Fri Nov 23 23:25:10 2012 commencing singleton removal, pass 2 Fri Nov 23 23:25:46 2012 found 3891628 singletons Fri Nov 23 23:25:46 2012 current dataset: 3343188 relations and about 3561270 large ideals Fri Nov 23 23:25:46 2012 commencing singleton removal, pass 3 Fri Nov 23 23:26:04 2012 found 1226031 singletons Fri Nov 23 23:26:04 2012 current dataset: 2117157 relations and about 2115237 large ideals Fri Nov 23 23:26:04 2012 commencing singleton removal, pass 4 Fri Nov 23 23:26:15 2012 found 545455 singletons Fri Nov 23 23:26:15 2012 current dataset: 1571702 relations and about 1506197 large ideals Fri Nov 23 23:26:15 2012 commencing singleton removal, pass 5 Fri Nov 23 23:26:24 2012 found 301376 singletons Fri Nov 23 23:26:24 2012 current dataset: 1270326 relations and about 1179646 large ideals Fri Nov 23 23:26:24 2012 commencing singleton removal, final pass Fri Nov 23 23:26:31 2012 memory use: 22.6 MB Fri Nov 23 23:26:31 2012 commencing in-memory singleton removal Fri Nov 23 23:26:31 2012 begin with 1270326 relations and 1237737 unique ideals Fri Nov 23 23:26:32 2012 reduce to 294031 relations and 183213 ideals in 30 passes Fri Nov 23 23:26:32 2012 max relations containing the same ideal: 14 Fri Nov 23 23:26:32 2012 reading rational ideals above 720000 Fri Nov 23 23:26:32 2012 reading algebraic ideals above 720000 Fri Nov 23 23:26:32 2012 commencing singleton removal, final pass Fri Nov 23 23:26:34 2012 keeping 491339 ideals with weight <= 20, new excess is 115708 Fri Nov 23 23:26:34 2012 memory use: 15.3 MB Fri Nov 23 23:26:34 2012 commencing in-memory singleton removal Fri Nov 23 23:26:34 2012 begin with 294508 relations and 491339 unique ideals Fri Nov 23 23:26:34 2012 reduce to 706 relations and 54 ideals in 7 passes Fri Nov 23 23:26:34 2012 max relations containing the same ideal: 2 Fri Nov 23 23:26:34 2012 filtering wants 400707 more relations Fri Nov 23 23:26:34 2012 elapsed time 00:02:51 RelProcTime: 171 -> makeJobFile(): Adjusted to q0=3400001, q1=3500000. -> client 1 q0: 3400001 LatticeSieveTime: 3356 Sat Nov 24 00:22:32 2012 Sat Nov 24 00:22:32 2012 Sat Nov 24 00:22:32 2012 Msieve v. 1.39 Sat Nov 24 00:22:32 2012 random seeds: 81965d6a c53a860f Sat Nov 24 00:22:32 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 00:22:32 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 00:22:32 2012 commencing number field sieve (119-digit input) Sat Nov 24 00:22:32 2012 R0: -72683812502624045859101 Sat Nov 24 00:22:32 2012 R1: 2866552890553 Sat Nov 24 00:22:32 2012 A0: 378856774001821928202859440 Sat Nov 24 00:22:32 2012 A1: 40104575548030136777924 Sat Nov 24 00:22:32 2012 A2: -5928605349076127202 Sat Nov 24 00:22:32 2012 A3: -134830190165760 Sat Nov 24 00:22:32 2012 A4: 19712879611 Sat Nov 24 00:22:32 2012 A5: 10920 Sat Nov 24 00:22:32 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 00:22:32 2012 Sat Nov 24 00:22:32 2012 commencing relation filtering Sat Nov 24 00:22:32 2012 commencing duplicate removal, pass 1 Sat Nov 24 00:23:11 2012 found 623970 hash collisions in 8266813 relations Sat Nov 24 00:23:24 2012 added 339 free relations Sat Nov 24 00:23:24 2012 commencing duplicate removal, pass 2 Sat Nov 24 00:23:27 2012 found 544519 duplicates and 7722633 unique relations Sat Nov 24 00:23:27 2012 memory use: 50.6 MB Sat Nov 24 00:23:27 2012 reading rational ideals above 3473408 Sat Nov 24 00:23:27 2012 reading algebraic ideals above 3473408 Sat Nov 24 00:23:27 2012 commencing singleton removal, pass 1 Sat Nov 24 00:24:05 2012 relations with 0 large ideals: 67097 Sat Nov 24 00:24:05 2012 relations with 1 large ideals: 568435 Sat Nov 24 00:24:05 2012 relations with 2 large ideals: 1981417 Sat Nov 24 00:24:05 2012 relations with 3 large ideals: 3078784 Sat Nov 24 00:24:05 2012 relations with 4 large ideals: 1881036 Sat Nov 24 00:24:05 2012 relations with 5 large ideals: 84591 Sat Nov 24 00:24:05 2012 relations with 6 large ideals: 61273 Sat Nov 24 00:24:05 2012 relations with 7+ large ideals: 0 Sat Nov 24 00:24:05 2012 7722633 relations and about 8993636 large ideals Sat Nov 24 00:24:05 2012 commencing singleton removal, pass 2 Sat Nov 24 00:24:43 2012 found 3936184 singletons Sat Nov 24 00:24:43 2012 current dataset: 3786449 relations and about 3865428 large ideals Sat Nov 24 00:24:43 2012 commencing singleton removal, pass 3 Sat Nov 24 00:25:02 2012 found 1225681 singletons Sat Nov 24 00:25:02 2012 current dataset: 2560768 relations and about 2452268 large ideals Sat Nov 24 00:25:02 2012 commencing singleton removal, pass 4 Sat Nov 24 00:25:16 2012 found 526200 singletons Sat Nov 24 00:25:16 2012 current dataset: 2034568 relations and about 1879027 large ideals Sat Nov 24 00:25:16 2012 commencing singleton removal, pass 5 Sat Nov 24 00:25:27 2012 found 276193 singletons Sat Nov 24 00:25:27 2012 current dataset: 1758375 relations and about 1587411 large ideals Sat Nov 24 00:25:27 2012 commencing singleton removal, final pass Sat Nov 24 00:25:37 2012 memory use: 37.3 MB Sat Nov 24 00:25:37 2012 commencing in-memory singleton removal Sat Nov 24 00:25:37 2012 begin with 1758375 relations and 1671386 unique ideals Sat Nov 24 00:25:38 2012 reduce to 577952 relations and 431920 ideals in 48 passes Sat Nov 24 00:25:38 2012 max relations containing the same ideal: 17 Sat Nov 24 00:25:38 2012 reading rational ideals above 720000 Sat Nov 24 00:25:38 2012 reading algebraic ideals above 720000 Sat Nov 24 00:25:38 2012 commencing singleton removal, final pass Sat Nov 24 00:25:42 2012 keeping 791856 ideals with weight <= 20, new excess is 115716 Sat Nov 24 00:25:42 2012 memory use: 22.6 MB Sat Nov 24 00:25:42 2012 commencing in-memory singleton removal Sat Nov 24 00:25:42 2012 begin with 578354 relations and 791856 unique ideals Sat Nov 24 00:25:42 2012 reduce to 711 relations and 59 ideals in 10 passes Sat Nov 24 00:25:42 2012 max relations containing the same ideal: 2 Sat Nov 24 00:25:42 2012 filtering wants 400734 more relations Sat Nov 24 00:25:42 2012 elapsed time 00:03:10 RelProcTime: 190 -> makeJobFile(): Adjusted to q0=3500001, q1=3600000. -> client 1 q0: 3500001 LatticeSieveTime: 3398 Sat Nov 24 01:22:22 2012 Sat Nov 24 01:22:22 2012 Sat Nov 24 01:22:22 2012 Msieve v. 1.39 Sat Nov 24 01:22:22 2012 random seeds: 05baad12 681cf0df Sat Nov 24 01:22:22 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 01:22:23 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 01:22:23 2012 commencing number field sieve (119-digit input) Sat Nov 24 01:22:23 2012 R0: -72683812502624045859101 Sat Nov 24 01:22:23 2012 R1: 2866552890553 Sat Nov 24 01:22:23 2012 A0: 378856774001821928202859440 Sat Nov 24 01:22:23 2012 A1: 40104575548030136777924 Sat Nov 24 01:22:23 2012 A2: -5928605349076127202 Sat Nov 24 01:22:23 2012 A3: -134830190165760 Sat Nov 24 01:22:23 2012 A4: 19712879611 Sat Nov 24 01:22:23 2012 A5: 10920 Sat Nov 24 01:22:23 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 01:22:23 2012 Sat Nov 24 01:22:23 2012 commencing relation filtering Sat Nov 24 01:22:23 2012 commencing duplicate removal, pass 1 Sat Nov 24 01:23:04 2012 found 696670 hash collisions in 8821357 relations Sat Nov 24 01:23:17 2012 added 261 free relations Sat Nov 24 01:23:17 2012 commencing duplicate removal, pass 2 Sat Nov 24 01:23:20 2012 found 608177 duplicates and 8213441 unique relations Sat Nov 24 01:23:20 2012 memory use: 50.6 MB Sat Nov 24 01:23:20 2012 reading rational ideals above 3604480 Sat Nov 24 01:23:20 2012 reading algebraic ideals above 3604480 Sat Nov 24 01:23:20 2012 commencing singleton removal, pass 1 Sat Nov 24 01:24:01 2012 relations with 0 large ideals: 76059 Sat Nov 24 01:24:01 2012 relations with 1 large ideals: 634077 Sat Nov 24 01:24:01 2012 relations with 2 large ideals: 2171787 Sat Nov 24 01:24:01 2012 relations with 3 large ideals: 3294120 Sat Nov 24 01:24:01 2012 relations with 4 large ideals: 1937230 Sat Nov 24 01:24:01 2012 relations with 5 large ideals: 39732 Sat Nov 24 01:24:01 2012 relations with 6 large ideals: 60436 Sat Nov 24 01:24:01 2012 relations with 7+ large ideals: 0 Sat Nov 24 01:24:01 2012 8213441 relations and about 9234647 large ideals Sat Nov 24 01:24:01 2012 commencing singleton removal, pass 2 Sat Nov 24 01:24:42 2012 found 3964548 singletons Sat Nov 24 01:24:42 2012 current dataset: 4248893 relations and about 4166121 large ideals Sat Nov 24 01:24:42 2012 commencing singleton removal, pass 3 Sat Nov 24 01:25:04 2012 found 1212107 singletons Sat Nov 24 01:25:04 2012 current dataset: 3036786 relations and about 2795147 large ideals Sat Nov 24 01:25:04 2012 commencing singleton removal, pass 4 Sat Nov 24 01:25:20 2012 found 496562 singletons Sat Nov 24 01:25:20 2012 current dataset: 2540224 relations and about 2263867 large ideals Sat Nov 24 01:25:20 2012 commencing singleton removal, final pass Sat Nov 24 01:25:34 2012 memory use: 42.5 MB Sat Nov 24 01:25:34 2012 commencing in-memory singleton removal Sat Nov 24 01:25:34 2012 begin with 2540224 relations and 2387174 unique ideals Sat Nov 24 01:25:36 2012 reduce to 1288693 relations and 1077054 ideals in 41 passes Sat Nov 24 01:25:36 2012 max relations containing the same ideal: 11 Sat Nov 24 01:25:36 2012 reading rational ideals above 720000 Sat Nov 24 01:25:36 2012 reading algebraic ideals above 720000 Sat Nov 24 01:25:36 2012 commencing singleton removal, final pass Sat Nov 24 01:25:45 2012 keeping 1456589 ideals with weight <= 20, new excess is 131662 Sat Nov 24 01:25:45 2012 memory use: 46.6 MB Sat Nov 24 01:25:45 2012 commencing in-memory singleton removal Sat Nov 24 01:25:45 2012 begin with 1288957 relations and 1456589 unique ideals Sat Nov 24 01:25:49 2012 reduce to 1078758 relations and 1244187 ideals in 105 passes Sat Nov 24 01:25:49 2012 max relations containing the same ideal: 20 Sat Nov 24 01:25:49 2012 filtering wants 1000000 more relations Sat Nov 24 01:25:49 2012 elapsed time 00:03:27 RelProcTime: 207 -> makeJobFile(): Adjusted to q0=3600001, q1=3700000. -> client 1 q0: 3600001 LatticeSieveTime: 3422 Sat Nov 24 02:22:53 2012 Sat Nov 24 02:22:53 2012 Sat Nov 24 02:22:53 2012 Msieve v. 1.39 Sat Nov 24 02:22:53 2012 random seeds: cf030f55 0744624b Sat Nov 24 02:22:53 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 02:22:54 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 02:22:54 2012 commencing number field sieve (119-digit input) Sat Nov 24 02:22:54 2012 R0: -72683812502624045859101 Sat Nov 24 02:22:54 2012 R1: 2866552890553 Sat Nov 24 02:22:54 2012 A0: 378856774001821928202859440 Sat Nov 24 02:22:54 2012 A1: 40104575548030136777924 Sat Nov 24 02:22:54 2012 A2: -5928605349076127202 Sat Nov 24 02:22:54 2012 A3: -134830190165760 Sat Nov 24 02:22:54 2012 A4: 19712879611 Sat Nov 24 02:22:54 2012 A5: 10920 Sat Nov 24 02:22:54 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 02:22:54 2012 Sat Nov 24 02:22:54 2012 commencing relation filtering Sat Nov 24 02:22:54 2012 commencing duplicate removal, pass 1 Sat Nov 24 02:23:38 2012 found 772994 hash collisions in 9380660 relations Sat Nov 24 02:23:51 2012 added 239 free relations Sat Nov 24 02:23:51 2012 commencing duplicate removal, pass 2 Sat Nov 24 02:23:54 2012 found 675222 duplicates and 8705677 unique relations Sat Nov 24 02:23:54 2012 memory use: 50.6 MB Sat Nov 24 02:23:54 2012 reading rational ideals above 3735552 Sat Nov 24 02:23:54 2012 reading algebraic ideals above 3735552 Sat Nov 24 02:23:54 2012 commencing singleton removal, pass 1 Sat Nov 24 02:24:37 2012 relations with 0 large ideals: 84788 Sat Nov 24 02:24:37 2012 relations with 1 large ideals: 696891 Sat Nov 24 02:24:37 2012 relations with 2 large ideals: 2343018 Sat Nov 24 02:24:37 2012 relations with 3 large ideals: 3487363 Sat Nov 24 02:24:37 2012 relations with 4 large ideals: 2005913 Sat Nov 24 02:24:37 2012 relations with 5 large ideals: 27134 Sat Nov 24 02:24:37 2012 relations with 6 large ideals: 60570 Sat Nov 24 02:24:37 2012 relations with 7+ large ideals: 0 Sat Nov 24 02:24:37 2012 8705677 relations and about 9459863 large ideals Sat Nov 24 02:24:37 2012 commencing singleton removal, pass 2 Sat Nov 24 02:25:20 2012 found 3977658 singletons Sat Nov 24 02:25:20 2012 current dataset: 4728019 relations and about 4461254 large ideals Sat Nov 24 02:25:20 2012 commencing singleton removal, pass 3 Sat Nov 24 02:25:44 2012 found 1189475 singletons Sat Nov 24 02:25:44 2012 current dataset: 3538544 relations and about 3137821 large ideals Sat Nov 24 02:25:44 2012 commencing singleton removal, pass 4 Sat Nov 24 02:26:02 2012 found 461948 singletons Sat Nov 24 02:26:02 2012 current dataset: 3076596 relations and about 2650180 large ideals Sat Nov 24 02:26:02 2012 commencing singleton removal, final pass Sat Nov 24 02:26:19 2012 memory use: 66.6 MB Sat Nov 24 02:26:19 2012 commencing in-memory singleton removal Sat Nov 24 02:26:20 2012 begin with 3076596 relations and 2800196 unique ideals Sat Nov 24 02:26:21 2012 reduce to 2018475 relations and 1700310 ideals in 26 passes Sat Nov 24 02:26:21 2012 max relations containing the same ideal: 15 Sat Nov 24 02:26:22 2012 reading rational ideals above 720000 Sat Nov 24 02:26:22 2012 reading algebraic ideals above 720000 Sat Nov 24 02:26:22 2012 commencing singleton removal, final pass Sat Nov 24 02:26:35 2012 keeping 2015774 ideals with weight <= 20, new excess is 216092 Sat Nov 24 02:26:35 2012 memory use: 65.5 MB Sat Nov 24 02:26:35 2012 commencing in-memory singleton removal Sat Nov 24 02:26:35 2012 begin with 2018715 relations and 2015774 unique ideals Sat Nov 24 02:26:37 2012 reduce to 1990825 relations and 1986662 ideals in 22 passes Sat Nov 24 02:26:37 2012 max relations containing the same ideal: 20 Sat Nov 24 02:26:37 2012 filtering wants 739509 more relations Sat Nov 24 02:26:37 2012 elapsed time 00:03:44 RelProcTime: 224 -> makeJobFile(): Adjusted to q0=3700001, q1=3800000. -> client 1 q0: 3700001 LatticeSieveTime: 3411 Sat Nov 24 03:23:31 2012 Sat Nov 24 03:23:31 2012 Sat Nov 24 03:23:31 2012 Msieve v. 1.39 Sat Nov 24 03:23:31 2012 random seeds: 0c0c0ef1 f0282d83 Sat Nov 24 03:23:31 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 03:23:31 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 03:23:31 2012 commencing number field sieve (119-digit input) Sat Nov 24 03:23:31 2012 R0: -72683812502624045859101 Sat Nov 24 03:23:31 2012 R1: 2866552890553 Sat Nov 24 03:23:31 2012 A0: 378856774001821928202859440 Sat Nov 24 03:23:31 2012 A1: 40104575548030136777924 Sat Nov 24 03:23:31 2012 A2: -5928605349076127202 Sat Nov 24 03:23:31 2012 A3: -134830190165760 Sat Nov 24 03:23:31 2012 A4: 19712879611 Sat Nov 24 03:23:31 2012 A5: 10920 Sat Nov 24 03:23:31 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 03:23:31 2012 Sat Nov 24 03:23:31 2012 commencing relation filtering Sat Nov 24 03:23:31 2012 commencing duplicate removal, pass 1 Sat Nov 24 03:24:18 2012 found 850797 hash collisions in 9935234 relations Sat Nov 24 03:24:32 2012 added 158 free relations Sat Nov 24 03:24:32 2012 commencing duplicate removal, pass 2 Sat Nov 24 03:24:35 2012 found 743809 duplicates and 9191583 unique relations Sat Nov 24 03:24:35 2012 memory use: 50.6 MB Sat Nov 24 03:24:35 2012 reading rational ideals above 3735552 Sat Nov 24 03:24:35 2012 reading algebraic ideals above 3735552 Sat Nov 24 03:24:35 2012 commencing singleton removal, pass 1 Sat Nov 24 03:25:20 2012 relations with 0 large ideals: 85997 Sat Nov 24 03:25:20 2012 relations with 1 large ideals: 709772 Sat Nov 24 03:25:20 2012 relations with 2 large ideals: 2404790 Sat Nov 24 03:25:20 2012 relations with 3 large ideals: 3636342 Sat Nov 24 03:25:20 2012 relations with 4 large ideals: 2181951 Sat Nov 24 03:25:20 2012 relations with 5 large ideals: 110844 Sat Nov 24 03:25:20 2012 relations with 6 large ideals: 61886 Sat Nov 24 03:25:20 2012 relations with 7+ large ideals: 1 Sat Nov 24 03:25:20 2012 9191583 relations and about 9683432 large ideals Sat Nov 24 03:25:20 2012 commencing singleton removal, pass 2 Sat Nov 24 03:26:05 2012 found 3976780 singletons Sat Nov 24 03:26:05 2012 current dataset: 5214803 relations and about 4762110 large ideals Sat Nov 24 03:26:05 2012 commencing singleton removal, pass 3 Sat Nov 24 03:26:32 2012 found 1156986 singletons Sat Nov 24 03:26:32 2012 current dataset: 4057817 relations and about 3491838 large ideals Sat Nov 24 03:26:32 2012 commencing singleton removal, pass 4 Sat Nov 24 03:26:53 2012 found 424133 singletons Sat Nov 24 03:26:53 2012 current dataset: 3633684 relations and about 3048885 large ideals Sat Nov 24 03:26:53 2012 commencing singleton removal, final pass Sat Nov 24 03:27:13 2012 memory use: 66.6 MB Sat Nov 24 03:27:13 2012 commencing in-memory singleton removal Sat Nov 24 03:27:13 2012 begin with 3633684 relations and 3226338 unique ideals Sat Nov 24 03:27:15 2012 reduce to 2695832 relations and 2256549 ideals in 20 passes Sat Nov 24 03:27:15 2012 max relations containing the same ideal: 46 Sat Nov 24 03:27:15 2012 reading rational ideals above 720000 Sat Nov 24 03:27:15 2012 reading algebraic ideals above 720000 Sat Nov 24 03:27:15 2012 commencing singleton removal, final pass Sat Nov 24 03:27:32 2012 keeping 2505093 ideals with weight <= 20, new excess is 283318 Sat Nov 24 03:27:33 2012 memory use: 67.6 MB Sat Nov 24 03:27:33 2012 commencing in-memory singleton removal Sat Nov 24 03:27:33 2012 begin with 2695990 relations and 2505093 unique ideals Sat Nov 24 03:27:35 2012 reduce to 2689031 relations and 2497343 ideals in 14 passes Sat Nov 24 03:27:35 2012 max relations containing the same ideal: 20 Sat Nov 24 03:27:35 2012 filtering wants 410880 more relations Sat Nov 24 03:27:35 2012 elapsed time 00:04:04 RelProcTime: 244 -> makeJobFile(): Adjusted to q0=3800001, q1=3900000. -> client 1 q0: 3800001 LatticeSieveTime: 3398 Sat Nov 24 04:24:15 2012 Sat Nov 24 04:24:15 2012 Sat Nov 24 04:24:15 2012 Msieve v. 1.39 Sat Nov 24 04:24:15 2012 random seeds: a51f4397 65b1e10e Sat Nov 24 04:24:15 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 04:24:15 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 04:24:15 2012 commencing number field sieve (119-digit input) Sat Nov 24 04:24:15 2012 R0: -72683812502624045859101 Sat Nov 24 04:24:15 2012 R1: 2866552890553 Sat Nov 24 04:24:15 2012 A0: 378856774001821928202859440 Sat Nov 24 04:24:15 2012 A1: 40104575548030136777924 Sat Nov 24 04:24:15 2012 A2: -5928605349076127202 Sat Nov 24 04:24:15 2012 A3: -134830190165760 Sat Nov 24 04:24:15 2012 A4: 19712879611 Sat Nov 24 04:24:15 2012 A5: 10920 Sat Nov 24 04:24:15 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 04:24:15 2012 Sat Nov 24 04:24:15 2012 commencing relation filtering Sat Nov 24 04:24:15 2012 commencing duplicate removal, pass 1 Sat Nov 24 04:25:05 2012 found 931159 hash collisions in 10486554 relations Sat Nov 24 04:25:18 2012 added 135 free relations Sat Nov 24 04:25:18 2012 commencing duplicate removal, pass 2 Sat Nov 24 04:25:22 2012 found 814206 duplicates and 9672483 unique relations Sat Nov 24 04:25:22 2012 memory use: 50.6 MB Sat Nov 24 04:25:22 2012 reading rational ideals above 3866624 Sat Nov 24 04:25:22 2012 reading algebraic ideals above 3866624 Sat Nov 24 04:25:22 2012 commencing singleton removal, pass 1 Sat Nov 24 04:26:09 2012 relations with 0 large ideals: 96211 Sat Nov 24 04:26:09 2012 relations with 1 large ideals: 782829 Sat Nov 24 04:26:09 2012 relations with 2 large ideals: 2604745 Sat Nov 24 04:26:09 2012 relations with 3 large ideals: 3849249 Sat Nov 24 04:26:09 2012 relations with 4 large ideals: 2221084 Sat Nov 24 04:26:09 2012 relations with 5 large ideals: 57293 Sat Nov 24 04:26:09 2012 relations with 6 large ideals: 61072 Sat Nov 24 04:26:09 2012 relations with 7+ large ideals: 0 Sat Nov 24 04:26:09 2012 9672483 relations and about 9876323 large ideals Sat Nov 24 04:26:09 2012 commencing singleton removal, pass 2 Sat Nov 24 04:26:57 2012 found 3966729 singletons Sat Nov 24 04:26:57 2012 current dataset: 5705754 relations and about 5035830 large ideals Sat Nov 24 04:26:57 2012 commencing singleton removal, pass 3 Sat Nov 24 04:27:26 2012 found 1121227 singletons Sat Nov 24 04:27:26 2012 current dataset: 4584527 relations and about 3818440 large ideals Sat Nov 24 04:27:26 2012 commencing singleton removal, pass 4 Sat Nov 24 04:27:49 2012 found 388146 singletons Sat Nov 24 04:27:49 2012 current dataset: 4196381 relations and about 3416526 large ideals Sat Nov 24 04:27:49 2012 commencing singleton removal, final pass Sat Nov 24 04:28:13 2012 memory use: 71.9 MB Sat Nov 24 04:28:13 2012 commencing in-memory singleton removal Sat Nov 24 04:28:13 2012 begin with 4196381 relations and 3619536 unique ideals Sat Nov 24 04:28:15 2012 reduce to 3341119 relations and 2739021 ideals in 19 passes Sat Nov 24 04:28:15 2012 max relations containing the same ideal: 51 Sat Nov 24 04:28:15 2012 reading rational ideals above 720000 Sat Nov 24 04:28:15 2012 reading algebraic ideals above 720000 Sat Nov 24 04:28:15 2012 commencing singleton removal, final pass Sat Nov 24 04:28:37 2012 keeping 2959665 ideals with weight <= 20, new excess is 328498 Sat Nov 24 04:28:38 2012 memory use: 92.5 MB Sat Nov 24 04:28:38 2012 commencing in-memory singleton removal Sat Nov 24 04:28:38 2012 begin with 3341258 relations and 2959665 unique ideals Sat Nov 24 04:28:40 2012 reduce to 3338545 relations and 2956282 ideals in 13 passes Sat Nov 24 04:28:40 2012 max relations containing the same ideal: 20 Sat Nov 24 04:28:41 2012 relations with 0 large ideals: 28257 Sat Nov 24 04:28:41 2012 relations with 1 large ideals: 221278 Sat Nov 24 04:28:41 2012 relations with 2 large ideals: 715395 Sat Nov 24 04:28:41 2012 relations with 3 large ideals: 1162576 Sat Nov 24 04:28:41 2012 relations with 4 large ideals: 902960 Sat Nov 24 04:28:41 2012 relations with 5 large ideals: 269202 Sat Nov 24 04:28:41 2012 relations with 6 large ideals: 37152 Sat Nov 24 04:28:41 2012 relations with 7+ large ideals: 1725 Sat Nov 24 04:28:41 2012 commencing 2-way merge Sat Nov 24 04:28:42 2012 reduce to 1816926 relation sets and 1435297 unique ideals Sat Nov 24 04:28:42 2012 ignored 634 oversize relation sets Sat Nov 24 04:28:42 2012 commencing full merge Sat Nov 24 04:28:53 2012 memory use: 118.3 MB Sat Nov 24 04:28:53 2012 found 809445 cycles, need 775497 Sat Nov 24 04:28:53 2012 weight of 775497 cycles is about 54296171 (70.01/cycle) Sat Nov 24 04:28:53 2012 distribution of cycle lengths: Sat Nov 24 04:28:53 2012 1 relations: 94127 Sat Nov 24 04:28:53 2012 2 relations: 91931 Sat Nov 24 04:28:53 2012 3 relations: 91191 Sat Nov 24 04:28:53 2012 4 relations: 79905 Sat Nov 24 04:28:53 2012 5 relations: 71355 Sat Nov 24 04:28:53 2012 6 relations: 59012 Sat Nov 24 04:28:53 2012 7 relations: 50944 Sat Nov 24 04:28:53 2012 8 relations: 43773 Sat Nov 24 04:28:53 2012 9 relations: 36506 Sat Nov 24 04:28:53 2012 10+ relations: 156753 Sat Nov 24 04:28:53 2012 heaviest cycle: 21 relations Sat Nov 24 04:28:53 2012 commencing cycle optimization Sat Nov 24 04:28:54 2012 start with 4675165 relations Sat Nov 24 04:28:59 2012 pruned 102879 relations Sat Nov 24 04:28:59 2012 memory use: 161.2 MB Sat Nov 24 04:28:59 2012 distribution of cycle lengths: Sat Nov 24 04:28:59 2012 1 relations: 94127 Sat Nov 24 04:28:59 2012 2 relations: 94090 Sat Nov 24 04:28:59 2012 3 relations: 94299 Sat Nov 24 04:28:59 2012 4 relations: 81596 Sat Nov 24 04:28:59 2012 5 relations: 72653 Sat Nov 24 04:28:59 2012 6 relations: 59469 Sat Nov 24 04:28:59 2012 7 relations: 51190 Sat Nov 24 04:28:59 2012 8 relations: 43494 Sat Nov 24 04:28:59 2012 9 relations: 36016 Sat Nov 24 04:28:59 2012 10+ relations: 148563 Sat Nov 24 04:28:59 2012 heaviest cycle: 21 relations Sat Nov 24 04:29:00 2012 elapsed time 00:04:45 RelProcTime: 285 Sat Nov 24 04:29:00 2012 Sat Nov 24 04:29:00 2012 Sat Nov 24 04:29:00 2012 Msieve v. 1.39 Sat Nov 24 04:29:00 2012 random seeds: 505ddad8 2992a651 Sat Nov 24 04:29:00 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 04:29:00 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 04:29:00 2012 commencing number field sieve (119-digit input) Sat Nov 24 04:29:00 2012 R0: -72683812502624045859101 Sat Nov 24 04:29:00 2012 R1: 2866552890553 Sat Nov 24 04:29:00 2012 A0: 378856774001821928202859440 Sat Nov 24 04:29:00 2012 A1: 40104575548030136777924 Sat Nov 24 04:29:00 2012 A2: -5928605349076127202 Sat Nov 24 04:29:00 2012 A3: -134830190165760 Sat Nov 24 04:29:00 2012 A4: 19712879611 Sat Nov 24 04:29:00 2012 A5: 10920 Sat Nov 24 04:29:00 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 04:29:00 2012 Sat Nov 24 04:29:00 2012 commencing linear algebra Sat Nov 24 04:29:00 2012 read 775497 cycles Sat Nov 24 04:29:02 2012 cycles contain 2755704 unique relations Sat Nov 24 04:29:15 2012 read 2755704 relations Sat Nov 24 04:29:17 2012 using 20 quadratic characters above 134217440 Sat Nov 24 04:29:28 2012 building initial matrix Sat Nov 24 04:29:45 2012 memory use: 346.7 MB Sat Nov 24 04:29:45 2012 read 775497 cycles Sat Nov 24 04:29:46 2012 matrix is 774649 x 775497 (231.9 MB) with weight 73158789 (94.34/col) Sat Nov 24 04:29:46 2012 sparse part has weight 52256287 (67.38/col) Sat Nov 24 04:29:54 2012 filtering completed in 3 passes Sat Nov 24 04:29:54 2012 matrix is 761754 x 761954 (228.9 MB) with weight 72096759 (94.62/col) Sat Nov 24 04:29:54 2012 sparse part has weight 51612475 (67.74/col) Sat Nov 24 04:29:56 2012 read 761954 cycles Sat Nov 24 04:29:56 2012 matrix is 761754 x 761954 (228.9 MB) with weight 72096759 (94.62/col) Sat Nov 24 04:29:56 2012 sparse part has weight 51612475 (67.74/col) Sat Nov 24 04:29:57 2012 saving the first 48 matrix rows for later Sat Nov 24 04:29:57 2012 matrix is 761706 x 761954 (220.9 MB) with weight 57173005 (75.03/col) Sat Nov 24 04:29:57 2012 sparse part has weight 50285186 (66.00/col) Sat Nov 24 04:29:57 2012 matrix includes 64 packed rows Sat Nov 24 04:29:57 2012 using block size 10922 for processor cache size 256 kB Sat Nov 24 04:29:59 2012 commencing Lanczos iteration Sat Nov 24 04:29:59 2012 memory use: 207.7 MB Sat Nov 24 05:18:47 2012 lanczos halted after 12047 iterations (dim = 761706) Sat Nov 24 05:18:48 2012 recovered 32 nontrivial dependencies Sat Nov 24 05:18:48 2012 elapsed time 00:49:48 BLanczosTime: 2988 Sat Nov 24 05:18:48 2012 Sat Nov 24 05:18:48 2012 Sat Nov 24 05:18:48 2012 Msieve v. 1.39 Sat Nov 24 05:18:48 2012 random seeds: e0269840 b6a833ef Sat Nov 24 05:18:48 2012 factoring 22153484915582103668559583554040772203926738185109394811200866794185359624410681485893952840238404619014415894387854973 (119 digits) Sat Nov 24 05:18:49 2012 no P-1/P+1/ECM available, skipping Sat Nov 24 05:18:49 2012 commencing number field sieve (119-digit input) Sat Nov 24 05:18:49 2012 R0: -72683812502624045859101 Sat Nov 24 05:18:49 2012 R1: 2866552890553 Sat Nov 24 05:18:49 2012 A0: 378856774001821928202859440 Sat Nov 24 05:18:49 2012 A1: 40104575548030136777924 Sat Nov 24 05:18:49 2012 A2: -5928605349076127202 Sat Nov 24 05:18:49 2012 A3: -134830190165760 Sat Nov 24 05:18:49 2012 A4: 19712879611 Sat Nov 24 05:18:49 2012 A5: 10920 Sat Nov 24 05:18:49 2012 skew 22656.69, size 3.494237e-12, alpha -5.363264, combined = 2.088163e-11 Sat Nov 24 05:18:49 2012 Sat Nov 24 05:18:49 2012 commencing square root phase Sat Nov 24 05:18:49 2012 reading relations for dependency 1 Sat Nov 24 05:18:49 2012 read 380501 cycles Sat Nov 24 05:18:50 2012 cycles contain 1650369 unique relations Sat Nov 24 05:18:58 2012 read 1650369 relations Sat Nov 24 05:19:03 2012 multiplying 1364456 relations Sat Nov 24 05:21:15 2012 multiply complete, coefficients have about 64.45 million bits Sat Nov 24 05:21:17 2012 initial square root is modulo 1790902469 Sat Nov 24 05:25:03 2012 prp56 factor: 16375804685419638065956806980543124610598761817860265161 Sat Nov 24 05:25:03 2012 prp64 factor: 1352818096035713050466673110601749997314548987123393222668995093 Sat Nov 24 05:25:03 2012 elapsed time 00:06:15 sqrtTime: 375
software ソフトウェア	GMP-ECM 6.3/GGNFS/Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Ignacio Santos	March 29, 2010 15:46:16 UTC 2010 年 3 月 30 日 (火) 0 時 46 分 16 秒 (日本時間)
35	1e6	410		Ignacio Santos	March 29, 2010 15:46:25 UTC 2010 年 3 月 30 日 (火) 0 時 46 分 25 秒 (日本時間)
40	3e6	2224	150	Ignacio Santos	March 29, 2010 15:46:25 UTC 2010 年 3 月 30 日 (火) 0 時 46 分 25 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:38:41 UTC 2011 年 7 月 30 日 (土) 3 時 38 分 41 秒 (日本時間)
			1374	Jo Yeong Uk	November 20, 2012 23:19:32 UTC 2012 年 11 月 21 日 (水) 8 時 19 分 32 秒 (日本時間)

16×10¹⁹⁷-13

c181

name 名前	Jo Yeong Uk
date 日付	December 6, 2012 13:41:19 UTC 2012 年 12 月 6 日 (木) 22 時 41 分 19 秒 (日本時間)
composite number 合成数	3132295502705242697621697874027270703050793634757794929838028579754598672400401528902574193312792062473009386510817576830747942196026641840227275935441486456070279630825434765214031<181>
prime factors 素因数	38147616802726145454246190037127093753454663585351207707159778299253<68> 82109860726120098649370877563591147871459285827857183147892367825519655994245525730036077593820550681088309061427<113>
factorization results 素因数分解の結果	Number: 53333_197 N=3132295502705242697621697874027270703050793634757794929838028579754598672400401528902574193312792062473009386510817576830747942196026641840227275935441486456070279630825434765214031 ( 181 digits) SNFS difficulty: 198 digits. Divisors found: r1=38147616802726145454246190037127093753454663585351207707159778299253 r2=82109860726120098649370877563591147871459285827857183147892367825519655994245525730036077593820550681088309061427 Version: Total time: 186.66 hours. Scaled time: 683.37 units (timescale=3.661). Factorization parameters were as follows: n: 3132295502705242697621697874027270703050793634757794929838028579754598672400401528902574193312792062473009386510817576830747942196026641840227275935441486456070279630825434765214031 m: 2000000000000000000000000000000000000000 deg: 5 c5: 50 c0: -1 skew: 0.46 # Murphy_E = 2.575e-11 type: snfs lss: 1 rlim: 14000000 alim: 14000000 lpbr: 29 lpba: 29 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14000000/14000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 55/55 Sieved rational special-q in [7000000, 12700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 33845947 Max relations in full relation-set: Initial matrix: Pruned matrix : 2515899 x 2516146 Total sieving time: 164.87 hours. Total relation processing time: 6.69 hours. Matrix solve time: 14.41 hours. Time per square root: 0.69 hours. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000 total time: 186.66 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 36991608k/38797312k available (5154k kernel code, 1057684k absent, 748020k reserved, 7164k data, 1260k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333405) Total of 12 processors activated (80001.72 BogoMIPS). x86info v1.25. Dave Jones 2001-2009 Feedback to <davej@redhat.com>. Found 12 CPUs -------------------------------------------------------------------------- CPU #1 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x0 Package: 0 Core: 0 SMT ID 0 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #2 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x2 Package: 0 Core: 0 SMT ID 2 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #3 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x4 Package: 0 Core: 0 SMT ID 4 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #4 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x10 Package: 0 Core: 0 SMT ID 16 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #5 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x12 Package: 0 Core: 0 SMT ID 18 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #6 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x14 Package: 0 Core: 0 SMT ID 20 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #7 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x1 Package: 0 Core: 0 SMT ID 1 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #8 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x3 Package: 0 Core: 0 SMT ID 3 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #9 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x5 Package: 0 Core: 0 SMT ID 5 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #10 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x11 Package: 0 Core: 0 SMT ID 17 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #11 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x13 Package: 0 Core: 0 SMT ID 19 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #12 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x15 Package: 0 Core: 0 SMT ID 21 3.35GHz processor (estimate). --------------------------------------------------------------------------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Ignacio Santos	March 29, 2010 18:05:53 UTC 2010 年 3 月 30 日 (火) 3 時 5 分 53 秒 (日本時間)
35	1e6	410		Ignacio Santos	March 29, 2010 18:06:02 UTC 2010 年 3 月 30 日 (火) 3 時 6 分 2 秒 (日本時間)
40	3e6	950	150	Ignacio Santos	March 29, 2010 18:06:02 UTC 2010 年 3 月 30 日 (火) 3 時 6 分 2 秒 (日本時間)
40	3e6	950	800	Ignacio Santos	April 19, 2010 16:26:05 UTC 2010 年 4 月 20 日 (火) 1 時 26 分 5 秒 (日本時間)
45	11e6	400 / 4025	230	Ignacio Santos	April 19, 2010 16:26:05 UTC 2010 年 4 月 20 日 (火) 1 時 26 分 5 秒 (日本時間)
45	11e6	400 / 4025	170	Serge Batalov	July 29, 2011 18:38:59 UTC 2011 年 7 月 30 日 (土) 3 時 38 分 59 秒 (日本時間)
50	43e6	64 / 7425		Ignacio Santos	April 19, 2010 16:26:05 UTC 2010 年 4 月 20 日 (火) 1 時 26 分 5 秒 (日本時間)

16×10¹⁹⁹-13

c188

name 名前	Ignacio Santos
date 日付	March 29, 2010 19:57:10 UTC 2010 年 3 月 30 日 (火) 4 時 57 分 10 秒 (日本時間)
composite number 合成数	58594926548079868853283563383340521457652774741782353459928430190349008318625810559160465641835815999107539264538212036174792124638641148338949531358680434586229368492048176405360216422683<188>
prime factors 素因数	8026205984332830295563922214413877<34>
composite cofactor 合成数の残り	7300451379201739841990305533035438613051099551675416953744724605888857761749220023502240773384254427459636965197628677058491088935975649088412836529163279<154>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1461645661 Step 1 took 10171ms Step 2 took 8752ms ********** Factor found in step 2: 8026205984332830295563922214413877 Found probable prime factor of 34 digits: 8026205984332830295563922214413877 Composite cofactor 7300451379201739841990305533035438613051099551675416953744724605888857761749220023502240773384254427459636965197628677058491088935975649088412836529163279 has 154 digits
software ソフトウェア	GMP-ECM 6.2.3

c154

name 名前	Jo Yeong Uk
date 日付	December 16, 2012 14:07:32 UTC 2012 年 12 月 16 日 (日) 23 時 7 分 32 秒 (日本時間)
composite number 合成数	7300451379201739841990305533035438613051099551675416953744724605888857761749220023502240773384254427459636965197628677058491088935975649088412836529163279<154>
prime factors 素因数	11096128351357836313422338633995607890516976021704381066723883617136443<71> 657927805810607947379265969891534137093552337023850209761767639141560172194837262653<84>
factorization results 素因数分解の結果	Number: 53333_199 N=7300451379201739841990305533035438613051099551675416953744724605888857761749220023502240773384254427459636965197628677058491088935975649088412836529163279 ( 154 digits) SNFS difficulty: 201 digits. Divisors found: r1=11096128351357836313422338633995607890516976021704381066723883617136443 r2=657927805810607947379265969891534137093552337023850209761767639141560172194837262653 Version: Total time: 232.79 hours. Scaled time: 845.72 units (timescale=3.633). Factorization parameters were as follows: n: 7300451379201739841990305533035438613051099551675416953744724605888857761749220023502240773384254427459636965197628677058491088935975649088412836529163279 m: 20000000000000000000000000000000000000000 deg: 5 c5: 1 c0: -20 skew: 1.82 # Murphy_E = 1.982e-11 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [8000000, 14800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 37502795 Max relations in full relation-set: Initial matrix: Pruned matrix : 2931119 x 2931366 Total sieving time: 204.59 hours. Total relation processing time: 8.93 hours. Matrix solve time: 19.05 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000 total time: 232.79 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 36991608k/38797312k available (5154k kernel code, 1057684k absent, 748020k reserved, 7164k data, 1260k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333405) Total of 12 processors activated (80001.72 BogoMIPS). x86info v1.25. Dave Jones 2001-2009 Feedback to <davej@redhat.com>. Found 12 CPUs -------------------------------------------------------------------------- CPU #1 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x0 Package: 0 Core: 0 SMT ID 0 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #2 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x2 Package: 0 Core: 0 SMT ID 2 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #3 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x4 Package: 0 Core: 0 SMT ID 4 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #4 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x10 Package: 0 Core: 0 SMT ID 16 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #5 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x12 Package: 0 Core: 0 SMT ID 18 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #6 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x14 Package: 0 Core: 0 SMT ID 20 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #7 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x1 Package: 0 Core: 0 SMT ID 1 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #8 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x3 Package: 0 Core: 0 SMT ID 3 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #9 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x5 Package: 0 Core: 0 SMT ID 5 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #10 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x11 Package: 0 Core: 0 SMT ID 17 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #11 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x13 Package: 0 Core: 0 SMT ID 19 3.35GHz processor (estimate). -------------------------------------------------------------------------- CPU #12 EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2 CPU Model: Unknown model. Processor name string: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz Type: 0 (Original OEM) Brand: 0 (Unsupported) Number of cores per physical package=16 Number of logical processors per socket=32 Number of logical processors per core=2 APIC ID: 0x15 Package: 0 Core: 0 SMT ID 21 3.35GHz processor (estimate). --------------------------------------------------------------------------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
20	11e3	74		Jo Yeong Uk	September 4, 2010 02:19:51 UTC 2010 年 9 月 4 日 (土) 11 時 19 分 51 秒 (日本時間)
25	5e4	204		Jo Yeong Uk	September 4, 2010 02:19:58 UTC 2010 年 9 月 4 日 (土) 11 時 19 分 58 秒 (日本時間)
30	25e4	403		Jo Yeong Uk	September 4, 2010 09:37:50 UTC 2010 年 9 月 4 日 (土) 18 時 37 分 50 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 11, 2010 13:04:08 UTC 2010 年 9 月 11 日 (土) 22 時 4 分 8 秒 (日本時間)
40	3e6	2144	110	Ignacio Santos	September 11, 2010 13:04:08 UTC 2010 年 9 月 11 日 (土) 22 時 4 分 8 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:39:30 UTC 2011 年 7 月 30 日 (土) 3 時 39 分 30 秒 (日本時間)
			1334	Jo Yeong Uk	November 17, 2012 10:42:01 UTC 2012 年 11 月 17 日 (土) 19 時 42 分 1 秒 (日本時間)
45	11e6	32 / 3991		Ignacio Santos	September 11, 2010 13:04:08 UTC 2010 年 9 月 11 日 (土) 22 時 4 分 8 秒 (日本時間)

16×10²⁰⁵-13

c206

name 名前	Robert Backstrom
date 日付	November 10, 2008 11:52:10 UTC 2008 年 11 月 10 日 (月) 20 時 52 分 10 秒 (日本時間)
composite number 合成数	53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<206>
prime factors 素因数	7253816360547696746337226052876346580763518857600573480425639193467<67> 7352451548595092851587671278219896892562021515468240661156973439665968776976024454455251948173889966313752479891086480528562516539317420399<139>
factorization results 素因数分解の結果	Number: n N=53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 ( 206 digits) SNFS difficulty: 206 digits. Divisors found: Mon Nov 10 22:35:48 2008 prp67 factor: 7253816360547696746337226052876346580763518857600573480425639193467 Mon Nov 10 22:35:48 2008 prp139 factor: 7352451548595092851587671278219896892562021515468240661156973439665968776976024454455251948173889966313752479891086480528562516539317420399 Mon Nov 10 22:35:48 2008 elapsed time 35:33:32 (Msieve 1.38) Version: GGNFS-0.77.1-20051202-athlon Total time: 120.07 hours. Scaled time: 243.98 units (timescale=2.032). Factorization parameters were as follows: name: KA_5_3_205 n: 53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 type: snfs skew: 1.15 deg: 5 c5: 1 c0: -2 m: 200000000000000000000000000000000000000000 rlim: 10000000 alim: 10000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 18900001) Primes: RFBsize:664579, AFBsize:664630, largePrimes:35868282 encountered Relations: rels:27817726, finalFF:172962 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 117.89 hours. Total relation processing time: 2.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000 total time: 120.07 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

16×10²¹³-13

c207

name 名前	Beyond
date 日付	September 30, 2010 02:30:24 UTC 2010 年 9 月 30 日 (木) 11 時 30 分 24 秒 (日本時間)
composite number 合成数	225024157398097423562001053760001075615472362905684626365036972805141441957894689172514024876730008576092558736614244617038910769440993722430761016089269445993477927949993219037656906707951848824495600967587<207>
prime factors 素因数	220958087214013825543687786516582356800245655284643<51> 1018401997570450164698500395678439689917444756111641355687039645258758428130407897704537100041914781718167492606078531344295382053809477360377090748278340609<157>
factorization results 素因数分解の結果	GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM] Input number is 225024157398097423562001053760001075615472362905684626365036972805141441957894689172514024876730008576092558736614244617038910769440993722430761016089269445993477927949993219037656906707951848824495600967587 (207 digits) [Wed Sep 29 17:00:33 2010] Using MODMULN Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=312436054 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 20 25 30 35 40 45 50 55 60 65 2 4 10 34 135 613 3133 17769 111196 751771 Step 1 took 459078ms Using 25 small primes for NTT Estimated memory usage: 566M Initializing tables of differences for F took 281ms Computing roots of F took 21454ms Building F from its roots took 14532ms Computing 1/F took 6969ms Initializing table of differences for G took 265ms Computing roots of G took 18032ms Building G from its roots took 13406ms Computing roots of G took 18016ms Building G from its roots took 13359ms Computing G * H took 3735ms Reducing G * H mod F took 3750ms Computing roots of G took 18000ms Building G from its roots took 13375ms Computing G * H took 3766ms Reducing G * H mod F took 3750ms Computing roots of G took 17812ms Building G from its roots took 13157ms Computing G * H took 3844ms Reducing G * H mod F took 3813ms Computing polyeval(F,G) took 27000ms Computing product of all F(g_i) took 235ms Step 2 took 219359ms ********** Factor found in step 2: 220958087214013825543687786516582356800245655284643 Found probable prime factor of 51 digits: 220958087214013825543687786516582356800245655284643 Probable prime cofactor 1018401997570450164698500395678439689917444756111641355687039645258758428130407897704537100041914781718167492606078531344295382053809477360377090748278340609 has 157 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	0	-	-
45	11e6	680	Dmitry Domanov	December 18, 2009 08:04:43 UTC 2009 年 12 月 18 日 (金) 17 時 4 分 43 秒 (日本時間)
50	43e6	1095 / 2085	yoyo@home	January 29, 2010 12:01:03 UTC 2010 年 1 月 29 日 (金) 21 時 1 分 3 秒 (日本時間)
55	11e7	2205 / 17336	yoyo@home	September 28, 2010 16:55:09 UTC 2010 年 9 月 29 日 (水) 1 時 55 分 9 秒 (日本時間)

16×10²¹⁵-13

c206

name 名前	Ignacio Santos
date 日付	June 22, 2010 06:36:24 UTC 2010 年 6 月 22 日 (火) 15 時 36 分 24 秒 (日本時間)
composite number 合成数	60699084139050254220532047321838027499414221686512035143590333305275447248550461664754609286520738163099419295963023578362454970677968422772594837070298492054750645670090323733845522463443858877939146018551<206>
prime factors 素因数	46342415312696101896472956298861831<35>
composite cofactor 合成数の残り	1309795437494621862804914123612671011423625720129384748911419397437653165022313015671581526491936381985100792464447471877242050532516292299742093695911215660954590715327121<172>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2286044702 Step 1 took 8081ms Step 2 took 6349ms ********** Factor found in step 2: 46342415312696101896472956298861831 Found probable prime factor of 35 digits: 46342415312696101896472956298861831 Composite cofactor 1309795437494621862804914123612671011423625720129384748911419397437653165022313015671581526491936381985100792464447471877242050532516292299742093695911215660954590715327121 has 172 digits
software ソフトウェア	GMP-ECM 6.2.3

c172

name 名前	Ignacio Santos
date 日付	June 22, 2010 14:31:27 UTC 2010 年 6 月 22 日 (火) 23 時 31 分 27 秒 (日本時間)
composite number 合成数	1309795437494621862804914123612671011423625720129384748911419397437653165022313015671581526491936381985100792464447471877242050532516292299742093695911215660954590715327121<172>
prime factors 素因数	136636281322475570935271425497850247963<39>
composite cofactor 合成数の残り	9586000327419413107669697637650136160700056368575741518868628554845045490757640401253488351754963975716889927632579764845364311267267<133>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1188942859 Step 1 took 89389ms Step 2 took 49109ms ********** Factor found in step 2: 136636281322475570935271425497850247963 Found probable prime factor of 39 digits: 136636281322475570935271425497850247963
software ソフトウェア	GMP-ECM 6.2.3

c133

name 名前	Wataru Sakai
date 日付	August 22, 2010 06:18:15 UTC 2010 年 8 月 22 日 (日) 15 時 18 分 15 秒 (日本時間)
composite number 合成数	9586000327419413107669697637650136160700056368575741518868628554845045490757640401253488351754963975716889927632579764845364311267267<133>
prime factors 素因数	12149001796956951785041967318113708518769<41> 789036044905391966906828244911575528631368092084009297458573982043650628710807388420976905843<93>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1921570546 Step 1 took 42515ms Step 2 took 17077ms ********** Factor found in step 2: 12149001796956951785041967318113708518769 Found probable prime factor of 41 digits: 12149001796956951785041967318113708518769 Probable prime cofactor 789036044905391966906828244911575528631368092084009297458573982043650628710807388420976905843 has 93 digits
software ソフトウェア	GMP-ECM 6.2.3

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	June 24, 2010 13:52:01 UTC 2010 年 6 月 24 日 (木) 22 時 52 分 1 秒 (日本時間)
40	3e6	110		Ignacio Santos	June 24, 2010 13:52:01 UTC 2010 年 6 月 24 日 (木) 22 時 52 分 1 秒 (日本時間)
45	11e6	652 / 4441	32	Ignacio Santos	June 24, 2010 13:52:01 UTC 2010 年 6 月 24 日 (木) 22 時 52 分 1 秒 (日本時間)
45	11e6	652 / 4441	620	Ignacio Santos	July 1, 2010 11:33:20 UTC 2010 年 7 月 1 日 (木) 20 時 33 分 20 秒 (日本時間)

16×10²¹⁷-13

c198

name 名前	matsui
date 日付	October 18, 2011 09:00:59 UTC 2011 年 10 月 18 日 (火) 18 時 0 分 59 秒 (日本時間)
composite number 合成数	151276500460538151546811772846622674786877633897764654409891441929902989666847630282157951039138748472807492966559375715075369516384889152453080480855234936269113348311595747707539653056864532054523<198>
prime factors 素因数	217665523570039989619324962641387344310923286687386551216320662183536287775114464064307503233897849<99> 694995229282880404816881608691559283698646053964689121920326750121538605181517970540406039821777427<99>
factorization results 素因数分解の結果	N=151276500460538151546811772846622674786877633897764654409891441929902989666847630282157951039138748472807492966559375715075369516384889152453080480855234936269113348311595747707539653056864532054523 ( 198 digits) SNFS difficulty: 218 digits. Divisors found: r1=217665523570039989619324962641387344310923286687386551216320662183536287775114464064307503233897849 (pp99) r2=694995229282880404816881608691559283698646053964689121920326750121538605181517970540406039821777427 (pp99) Version: Msieve v. 1.50 Total time: Scaled time: 614.51 units (timescale=1.544). Factorization parameters were as follows: n: 151276500460538151546811772846622674786877633897764654409891441929902989666847630282157951039138748472807492966559375715075369516384889152453080480855234936269113348311595747707539653056864532054523 m: 1000000000000000000000000000000000000 deg: 6 c6: 160 c0: -1 skew: 0.43 type: snfs lss: 1 rlim: 30000000 alim: 30000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 qintsize: 1600000 Factor base limits: 30000000/30000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved rational special-q in [15000000, 61400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 5965637 x 5965863 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,218.000,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000 total time: --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 12, 2010 20:21:18 UTC 2010 年 9 月 13 日 (月) 5 時 21 分 18 秒 (日本時間)
40	3e6	810 / 2144	110	Ignacio Santos	September 12, 2010 20:21:18 UTC 2010 年 9 月 13 日 (月) 5 時 21 分 18 秒 (日本時間)
40	3e6	810 / 2144	700	Serge Batalov	July 29, 2011 18:39:48 UTC 2011 年 7 月 30 日 (土) 3 時 39 分 48 秒 (日本時間)
45	11e6	32 / 4286		Ignacio Santos	September 12, 2010 20:21:18 UTC 2010 年 9 月 13 日 (月) 5 時 21 分 18 秒 (日本時間)

16×10²¹⁹-13

c176

name 名前	Dmitry Domanov
date 日付	November 14, 2013 04:52:53 UTC 2013 年 11 月 14 日 (木) 13 時 52 分 53 秒 (日本時間)
composite number 合成数	12472798517031097926056897410824934473147152297963973482627166123223939154325360349526870636849202001778708512046628598382037799016040540028400951194152653341470413898937197643<176>
prime factors 素因数	622635728592515611895498481374391801751<39>
composite cofactor 合成数の残り	20032256332649245768096615203331315057893338582955842112262387109717364718319424673739115510035163217232115881793204806764520269323734893<137>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=556943206 Step 1 took 23307ms Step 2 took 8924ms ********** Factor found in step 2: 622635728592515611895498481374391801751 Found probable prime factor of 39 digits: 622635728592515611895498481374391801751

c137

name 名前	Erik Branger
date 日付	June 14, 2014 08:29:18 UTC 2014 年 6 月 14 日 (土) 17 時 29 分 18 秒 (日本時間)
composite number 合成数	20032256332649245768096615203331315057893338582955842112262387109717364718319424673739115510035163217232115881793204806764520269323734893<137>
prime factors 素因数	166165363171159982278814682286781634253416020100216187<54> 120556149310219707993881210366366390259788171932802613293430461024804051015487542839<84>
factorization results 素因数分解の結果	Number: 53333_219 N = 20032256332649245768096615203331315057893338582955842112262387109717364718319424673739115510035163217232115881793204806764520269323734893 (137 digits) Divisors found: r1=166165363171159982278814682286781634253416020100216187 (pp54) r2=120556149310219707993881210366366390259788171932802613293430461024804051015487542839 (pp84) Version: Msieve v. 1.51 (SVN Official Release) Total time: 126.80 hours. Factorization parameters were as follows: # Murphy_E = 3.286e-11, selected by Erik Branger # expecting poly E from 3.44e-011 to > 3.96e-011 n: 20032256332649245768096615203331315057893338582955842112262387109717364718319424673739115510035163217232115881793204806764520269323734893 Y0: -409483403702456789987926202 Y1: 95584287463651 c0: -58023614673981552715607101267005075 c1: 48287863271537418373897648245 c2: 63016949249610463550917 c3: -24248260620164777 c4: -15487252394 c5: 1740 skew: 2239620.65 type: gnfs # selected mechanically rlim: 14500000 alim: 14500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 14500000/14500000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 22588406 Relations: 3687234 relations Pruned matrix : 2205882 x 2206108 Polynomial selection time: 0.00 hours. Total sieving time: 123.42 hours. Total relation processing time: 0.13 hours. Matrix solve time: 3.16 hours. time per square root: 0.09 hours. Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14500000,14500000,28,28,55,55,2.6,2.6,100000 total time: 126.80 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 12, 2010 21:08:43 UTC 2010 年 9 月 13 日 (月) 6 時 8 分 43 秒 (日本時間)
40	3e6	2310	110	Ignacio Santos	September 12, 2010 21:08:43 UTC 2010 年 9 月 13 日 (月) 6 時 8 分 43 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:39:59 UTC 2011 年 7 月 30 日 (土) 3 時 39 分 59 秒 (日本時間)
			1500	Dmitry Domanov	November 13, 2013 11:14:53 UTC 2013 年 11 月 13 日 (水) 20 時 14 分 53 秒 (日本時間)
45	11e6	2532 / 3954	32	Ignacio Santos	September 12, 2010 21:08:43 UTC 2010 年 9 月 13 日 (月) 6 時 8 分 43 秒 (日本時間)
			400	Serge Batalov	January 6, 2014 02:23:07 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 7 秒 (日本時間)
			1800	Serge Batalov	May 24, 2014 17:35:11 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 11 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:32:58 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 58 秒 (日本時間)

16×10²²¹-13

c186

name 名前	Erik Branger
date 日付	March 14, 2020 20:35:36 UTC 2020 年 3 月 15 日 (日) 5 時 35 分 36 秒 (日本時間)
composite number 合成数	218802929598074473050923215115110401913026003089141443804860897801036472962687635770789197286831599394327398532783298288748182337361383972731753177388314971248010526461172702777076777631<186>
prime factors 素因数	1775768273554152226325140572364694563413236476294037805402715756767888739127436820942167961<91> 123215924541858336348000453109359277838588438277367681784516026746523279164880503376421699188471<96>
factorization results 素因数分解の結果	Number: 53333_221 N = 218802929598074473050923215115110401913026003089141443804860897801036472962687635770789197286831599394327398532783298288748182337361383972731753177388314971248010526461172702777076777631 (186 digits) SNFS difficulty: 223 digits. Divisors found: r1=1775768273554152226325140572364694563413236476294037805402715756767888739127436820942167961 (pp91) r2=123215924541858336348000453109359277838588438277367681784516026746523279164880503376421699188471 (pp96) Version: Msieve v. 1.52 (SVN unknown) Total time: 84.19 hours. Factorization parameters were as follows: n: 218802929598074473050923215115110401913026003089141443804860897801036472962687635770789197286831599394327398532783298288748182337361383972731753177388314971248010526461172702777076777631 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 160 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7829268 relations Pruned matrix : 6870222 x 6870447 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 42.79 hours. Total relation processing time: 0.42 hours. Matrix solve time: 39.90 hours. time per square root: 1.07 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 84.19 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-SP0 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 12, 2010 22:31:03 UTC 2010 年 9 月 13 日 (月) 7 時 31 分 3 秒 (日本時間)
40	3e6	2310	110	Ignacio Santos	September 12, 2010 22:31:03 UTC 2010 年 9 月 13 日 (月) 7 時 31 分 3 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:40:07 UTC 2011 年 7 月 30 日 (土) 3 時 40 分 7 秒 (日本時間)
			1500	Dmitry Domanov	November 13, 2013 11:15:05 UTC 2013 年 11 月 13 日 (水) 20 時 15 分 5 秒 (日本時間)
45	11e6	332 / 3954	32	Ignacio Santos	September 12, 2010 22:31:03 UTC 2010 年 9 月 13 日 (月) 7 時 31 分 3 秒 (日本時間)
45	11e6	332 / 3954	300	Serge Batalov	May 27, 2014 00:32:59 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 59 秒 (日本時間)

16×10²²³-13

c175

name 名前	Ignacio Santos
date 日付	September 13, 2010 14:20:57 UTC 2010 年 9 月 13 日 (月) 23 時 20 分 57 秒 (日本時間)
composite number 合成数	1439061717748382649005287872012193105146741247215249615258759600836114834368382013790148433666715798163328446027602060403047107153474735819412103034776561086499720919073748039<175>
prime factors 素因数	132355577177296648937078193438839<33>
composite cofactor 合成数の残り	10872694210843041396776553883549248575255416327641412083545438747559466691107515450617766829553451001120304885451035589654762847135787182042801<143>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3679136297 Step 1 took 9172ms ********** Factor found in step 1: 132355577177296648937078193438839 Found probable prime factor of 33 digits: 132355577177296648937078193438839 Composite cofactor 10872694210843041396776553883549248575255416327641412083545438747559466691107515450617766829553451001120304885451035589654762847135787182042801 has 143 digits
software ソフトウェア	GMP-ECM 6.3

c143

name 名前	Wataru Sakai
date 日付	September 19, 2010 06:57:35 UTC 2010 年 9 月 19 日 (日) 15 時 57 分 35 秒 (日本時間)
composite number 合成数	10872694210843041396776553883549248575255416327641412083545438747559466691107515450617766829553451001120304885451035589654762847135787182042801<143>
prime factors 素因数	2353464948024473615069023802945070316808044511<46> 4619866643847706270943280790593550665381619134352561786338284632273551297976509668993906259649391<97>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3110119313 Step 1 took 48876ms Step 2 took 18332ms ********** Factor found in step 2: 2353464948024473615069023802945070316808044511 Found probable prime factor of 46 digits: 2353464948024473615069023802945070316808044511 Probable prime cofactor 4619866643847706270943280790593550665381619134352561786338284632273551297976509668993906259649391 has 97 digits
software ソフトウェア	GMP-ECM 6.2.3

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 16, 2010 20:03:05 UTC 2010 年 9 月 17 日 (金) 5 時 3 分 5 秒 (日本時間)
40	3e6	2144	110	Ignacio Santos	September 16, 2010 20:03:05 UTC 2010 年 9 月 17 日 (金) 5 時 3 分 5 秒 (日本時間)
40	3e6	2144	2034	Wataru Sakai	September 18, 2010 02:44:54 UTC 2010 年 9 月 18 日 (土) 11 時 44 分 54 秒 (日本時間)
45	11e6	32 / 3991		Ignacio Santos	September 16, 2010 20:03:05 UTC 2010 年 9 月 17 日 (金) 5 時 3 分 5 秒 (日本時間)

16×10²²⁵-13

c214

name 名前	Ignacio Santos
date 日付	September 13, 2010 15:41:52 UTC 2010 年 9 月 14 日 (火) 0 時 41 分 52 秒 (日本時間)
composite number 合成数	6725871299702442038912364051878132799716624614477011125192204431582246581365269932860623006659087777499713764449939491088048973407041047524745544467727927675258163776508505224031424879907184683863717363808579686517<214>
prime factors 素因数	17055017420774739401359115736107<32>
composite cofactor 合成数の残り	394363203142182034018228906213569228785178926154661076066982126407840544182420322687319592923038934961827877914334859011792081716876118407245819915597797347060527404693719715153329631<183>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2500126088 Step 1 took 11154ms Step 2 took 7363ms ********** Factor found in step 2: 17055017420774739401359115736107 Found probable prime factor of 32 digits: 17055017420774739401359115736107 Composite cofactor 394363203142182034018228906213569228785178926154661076066982126407840544182420322687319592923038934961827877914334859011792081716876118407245819915597797347060527404693719715153329631 has 183 digits
software ソフトウェア	GMP-ECM 6.3

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 13, 2010 22:39:13 UTC 2010 年 9 月 14 日 (火) 7 時 39 分 13 秒 (日本時間)
40	3e6	2310	110	Ignacio Santos	September 13, 2010 22:39:13 UTC 2010 年 9 月 14 日 (火) 7 時 39 分 13 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:40:23 UTC 2011 年 7 月 30 日 (土) 3 時 40 分 23 秒 (日本時間)
			1500	Dmitry Domanov	November 13, 2013 11:15:16 UTC 2013 年 11 月 13 日 (水) 20 時 15 分 16 秒 (日本時間)
45	11e6	1932	32	Ignacio Santos	September 13, 2010 22:39:13 UTC 2010 年 9 月 14 日 (火) 7 時 39 分 13 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:32:59 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 59 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:02:53 UTC 2021 年 6 月 24 日 (木) 19 時 2 分 53 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:45:15 UTC 2021 年 7 月 16 日 (金) 0 時 45 分 15 秒 (日本時間)
50	43e6	7274	640	Dmitry Domanov	August 21, 2021 02:04:43 UTC 2021 年 8 月 21 日 (土) 11 時 4 分 43 秒 (日本時間)
			1200	Dmitry Domanov	November 5, 2021 10:53:50 UTC 2021 年 11 月 5 日 (金) 19 時 53 分 50 秒 (日本時間)
			5434	Bob Backstrom	July 15, 2024 01:30:48 UTC 2024 年 7 月 15 日 (月) 10 時 30 分 48 秒 (日本時間)

16×10²²⁷-13

c185

name 名前	Serge Batalov
date 日付	October 31, 2008 19:02:43 UTC 2008 年 11 月 1 日 (土) 4 時 2 分 43 秒 (日本時間)
composite number 合成数	14094488033901012813402532561801970722500490932841608243746905351674702497002217952946274550228087962894188489326251860393990796023338618518410013532407092735106512732146429133880827841<185>
prime factors 素因数	50951806998599951488548848592191<32>
composite cofactor 合成数の残り	276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151<153>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2751728905 Step 1 took 22017ms Step 2 took 14817ms ********** Factor found in step 2: 50951806998599951488548848592191 Found probable prime factor of 32 digits: 50951806998599951488548848592191 Composite cofactor 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 has 153 digits
software ソフトウェア	GMP-ECM 6.2.1

c153

name 名前	NFSathome
date 日付	November 28, 2021 00:25:37 UTC 2021 年 11 月 28 日 (日) 9 時 25 分 37 秒 (日本時間)
composite number 合成数	276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151<153>
prime factors 素因数	63109804343342219227348208246766611733432831182283644246408543919186187<71> 4383216080302147965760191079042956130953219106427968238654931399702747731439316573<82>
factorization results 素因数分解の結果	Sieving done by NFS@home, poly select, filtering, linear algebra and square root steps were done by Dmitry Domanov. Sat Nov 27 12:56:09 2021 Sat Nov 27 12:56:09 2021 Sat Nov 27 12:56:09 2021 Msieve v. 1.54 (SVN 1043M) Sat Nov 27 12:56:09 2021 random seeds: 4c30fcc0 05d37059 Sat Nov 27 12:56:09 2021 factoring 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 (153 digits) Sat Nov 27 12:56:11 2021 searching for 15-digit factors Sat Nov 27 12:56:11 2021 commencing number field sieve (153-digit input) Sat Nov 27 12:56:12 2021 R0: -345358472074720335029276423754 Sat Nov 27 12:56:12 2021 R1: 42782114007112349 Sat Nov 27 12:56:12 2021 A0: -31795118349117926867980227103528018975 Sat Nov 27 12:56:12 2021 A1: 14648248429502062739850993087905 Sat Nov 27 12:56:12 2021 A2: 2971296265623586923626388 Sat Nov 27 12:56:12 2021 A3: -2222027722594214471 Sat Nov 27 12:56:12 2021 A4: -111299059727 Sat Nov 27 12:56:12 2021 A5: 56304 Sat Nov 27 12:56:12 2021 skew 4636948.22, size 7.108e-15, alpha -6.275, combined = 3.581e-12 rroots = 3 Sat Nov 27 12:56:12 2021 Sat Nov 27 12:56:12 2021 commencing relation filtering Sat Nov 27 12:56:12 2021 setting target matrix density to 140.0 Sat Nov 27 12:56:12 2021 estimated available RAM is 31368.2 MB Sat Nov 27 12:56:12 2021 commencing duplicate removal, pass 1 Sat Nov 27 13:14:00 2021 skipped 2 relations with composite factors Sat Nov 27 13:14:00 2021 found 13990647 hash collisions in 64806474 relations Sat Nov 27 13:14:34 2021 added 122484 free relations Sat Nov 27 13:14:34 2021 commencing duplicate removal, pass 2 Sat Nov 27 13:15:13 2021 found 14585843 duplicates and 50343115 unique relations Sat Nov 27 13:15:13 2021 memory use: 362.4 MB Sat Nov 27 13:15:13 2021 reading ideals above 720000 Sat Nov 27 13:15:13 2021 commencing singleton removal, initial pass Sat Nov 27 13:22:14 2021 memory use: 1378.0 MB Sat Nov 27 13:22:14 2021 reading all ideals from disk Sat Nov 27 13:22:15 2021 memory use: 1800.6 MB Sat Nov 27 13:22:21 2021 keeping 46863792 ideals with weight <= 200, target excess is 258893 Sat Nov 27 13:22:26 2021 commencing in-memory singleton removal Sat Nov 27 13:22:31 2021 begin with 50343115 relations and 46863792 unique ideals Sat Nov 27 13:23:39 2021 reduce to 32735667 relations and 27485354 ideals in 15 passes Sat Nov 27 13:23:39 2021 max relations containing the same ideal: 159 Sat Nov 27 13:23:56 2021 removing 4526534 relations and 3526534 ideals in 1000000 cliques Sat Nov 27 13:23:58 2021 commencing in-memory singleton removal Sat Nov 27 13:24:01 2021 begin with 28209133 relations and 27485354 unique ideals Sat Nov 27 13:24:33 2021 reduce to 27698204 relations and 23428446 ideals in 8 passes Sat Nov 27 13:24:33 2021 max relations containing the same ideal: 145 Sat Nov 27 13:24:48 2021 removing 3610332 relations and 2610332 ideals in 1000000 cliques Sat Nov 27 13:24:50 2021 commencing in-memory singleton removal Sat Nov 27 13:24:52 2021 begin with 24087872 relations and 23428446 unique ideals Sat Nov 27 13:25:21 2021 reduce to 23703844 relations and 20420619 ideals in 9 passes Sat Nov 27 13:25:21 2021 max relations containing the same ideal: 127 Sat Nov 27 13:25:35 2021 removing 3378955 relations and 2378955 ideals in 1000000 cliques Sat Nov 27 13:25:37 2021 commencing in-memory singleton removal Sat Nov 27 13:25:39 2021 begin with 20324889 relations and 20420619 unique ideals Sat Nov 27 13:26:02 2021 reduce to 19940940 relations and 17642841 ideals in 8 passes Sat Nov 27 13:26:02 2021 max relations containing the same ideal: 115 Sat Nov 27 13:26:14 2021 removing 3299739 relations and 2299739 ideals in 1000000 cliques Sat Nov 27 13:26:16 2021 commencing in-memory singleton removal Sat Nov 27 13:26:17 2021 begin with 16641201 relations and 17642841 unique ideals Sat Nov 27 13:26:29 2021 reduce to 16207740 relations and 14890232 ideals in 7 passes Sat Nov 27 13:26:29 2021 max relations containing the same ideal: 101 Sat Nov 27 13:26:37 2021 removing 3300298 relations and 2300298 ideals in 1000000 cliques Sat Nov 27 13:26:38 2021 commencing in-memory singleton removal Sat Nov 27 13:26:39 2021 begin with 12907442 relations and 14890232 unique ideals Sat Nov 27 13:26:48 2021 reduce to 12359182 relations and 12011503 ideals in 9 passes Sat Nov 27 13:26:48 2021 max relations containing the same ideal: 83 Sat Nov 27 13:26:55 2021 removing 313048 relations and 265685 ideals in 47363 cliques Sat Nov 27 13:26:56 2021 commencing in-memory singleton removal Sat Nov 27 13:26:57 2021 begin with 12046134 relations and 12011503 unique ideals Sat Nov 27 13:27:03 2021 reduce to 12040428 relations and 11740091 ideals in 6 passes Sat Nov 27 13:27:03 2021 max relations containing the same ideal: 82 Sat Nov 27 13:27:06 2021 relations with 0 large ideals: 893 Sat Nov 27 13:27:06 2021 relations with 1 large ideals: 2873 Sat Nov 27 13:27:06 2021 relations with 2 large ideals: 43320 Sat Nov 27 13:27:06 2021 relations with 3 large ideals: 302844 Sat Nov 27 13:27:06 2021 relations with 4 large ideals: 1128934 Sat Nov 27 13:27:06 2021 relations with 5 large ideals: 2482777 Sat Nov 27 13:27:06 2021 relations with 6 large ideals: 3363784 Sat Nov 27 13:27:06 2021 relations with 7+ large ideals: 4715003 Sat Nov 27 13:27:06 2021 commencing 2-way merge Sat Nov 27 13:27:15 2021 reduce to 7677257 relation sets and 7376920 unique ideals Sat Nov 27 13:27:15 2021 commencing full merge Sat Nov 27 13:33:10 2021 memory use: 342.8 MB Sat Nov 27 13:33:10 2021 found 15334 cycles, need 1679093 Sat Nov 27 13:33:10 2021 too few cycles, matrix probably cannot build Sat Nov 27 13:33:10 2021 filtering wants 1000000 more relations Sat Nov 27 13:33:10 2021 elapsed time 00:37:01 Sat Nov 27 13:33:42 2021 Sat Nov 27 13:33:42 2021 Sat Nov 27 13:33:42 2021 Msieve v. 1.54 (SVN 1043M) Sat Nov 27 13:33:42 2021 random seeds: 4d828b2b 62d36868 Sat Nov 27 13:33:42 2021 factoring 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 (153 digits) Sat Nov 27 13:33:43 2021 searching for 15-digit factors Sat Nov 27 13:33:44 2021 commencing number field sieve (153-digit input) Sat Nov 27 13:33:44 2021 R0: -345358472074720335029276423754 Sat Nov 27 13:33:44 2021 R1: 42782114007112349 Sat Nov 27 13:33:44 2021 A0: -31795118349117926867980227103528018975 Sat Nov 27 13:33:44 2021 A1: 14648248429502062739850993087905 Sat Nov 27 13:33:44 2021 A2: 2971296265623586923626388 Sat Nov 27 13:33:44 2021 A3: -2222027722594214471 Sat Nov 27 13:33:44 2021 A4: -111299059727 Sat Nov 27 13:33:44 2021 A5: 56304 Sat Nov 27 13:33:44 2021 skew 4636948.22, size 7.108e-15, alpha -6.275, combined = 3.581e-12 rroots = 3 Sat Nov 27 13:33:44 2021 Sat Nov 27 13:33:44 2021 commencing relation filtering Sat Nov 27 13:33:44 2021 setting target matrix density to 136.0 Sat Nov 27 13:33:44 2021 estimated available RAM is 31368.2 MB Sat Nov 27 13:33:44 2021 commencing duplicate removal, pass 1 Sat Nov 27 13:43:55 2021 skipped 2 relations with composite factors Sat Nov 27 13:43:55 2021 found 13998923 hash collisions in 64928958 relations Sat Nov 27 13:44:27 2021 commencing duplicate removal, pass 2 Sat Nov 27 13:44:55 2021 found 14585843 duplicates and 50343115 unique relations Sat Nov 27 13:44:55 2021 memory use: 362.4 MB Sat Nov 27 13:44:55 2021 reading ideals above 720000 Sat Nov 27 13:44:55 2021 commencing singleton removal, initial pass Sat Nov 27 13:52:29 2021 memory use: 1378.0 MB Sat Nov 27 13:52:30 2021 reading all ideals from disk Sat Nov 27 13:52:31 2021 memory use: 1800.6 MB Sat Nov 27 13:52:37 2021 keeping 46863792 ideals with weight <= 200, target excess is 258893 Sat Nov 27 13:52:44 2021 commencing in-memory singleton removal Sat Nov 27 13:52:49 2021 begin with 50343115 relations and 46863792 unique ideals Sat Nov 27 13:53:50 2021 reduce to 32735667 relations and 27485354 ideals in 15 passes Sat Nov 27 13:53:50 2021 max relations containing the same ideal: 159 Sat Nov 27 13:54:06 2021 removing 4526534 relations and 3526534 ideals in 1000000 cliques Sat Nov 27 13:54:09 2021 commencing in-memory singleton removal Sat Nov 27 13:54:12 2021 begin with 28209133 relations and 27485354 unique ideals Sat Nov 27 13:54:44 2021 reduce to 27698204 relations and 23428446 ideals in 8 passes Sat Nov 27 13:54:44 2021 max relations containing the same ideal: 145 Sat Nov 27 13:55:02 2021 removing 3610332 relations and 2610332 ideals in 1000000 cliques Sat Nov 27 13:55:04 2021 commencing in-memory singleton removal Sat Nov 27 13:55:06 2021 begin with 24087872 relations and 23428446 unique ideals Sat Nov 27 13:55:33 2021 reduce to 23703844 relations and 20420619 ideals in 9 passes Sat Nov 27 13:55:33 2021 max relations containing the same ideal: 127 Sat Nov 27 13:55:45 2021 removing 3378955 relations and 2378955 ideals in 1000000 cliques Sat Nov 27 13:55:46 2021 commencing in-memory singleton removal Sat Nov 27 13:55:48 2021 begin with 20324889 relations and 20420619 unique ideals Sat Nov 27 13:56:03 2021 reduce to 19940940 relations and 17642841 ideals in 8 passes Sat Nov 27 13:56:03 2021 max relations containing the same ideal: 115 Sat Nov 27 13:56:13 2021 removing 3299739 relations and 2299739 ideals in 1000000 cliques Sat Nov 27 13:56:14 2021 commencing in-memory singleton removal Sat Nov 27 13:56:15 2021 begin with 16641201 relations and 17642841 unique ideals Sat Nov 27 13:56:25 2021 reduce to 16207740 relations and 14890232 ideals in 7 passes Sat Nov 27 13:56:25 2021 max relations containing the same ideal: 101 Sat Nov 27 13:56:33 2021 removing 3300298 relations and 2300298 ideals in 1000000 cliques Sat Nov 27 13:56:34 2021 commencing in-memory singleton removal Sat Nov 27 13:56:35 2021 begin with 12907442 relations and 14890232 unique ideals Sat Nov 27 13:56:47 2021 reduce to 12359182 relations and 12011503 ideals in 9 passes Sat Nov 27 13:56:47 2021 max relations containing the same ideal: 83 Sat Nov 27 13:56:55 2021 removing 313048 relations and 265685 ideals in 47363 cliques Sat Nov 27 13:56:55 2021 commencing in-memory singleton removal Sat Nov 27 13:56:57 2021 begin with 12046134 relations and 12011503 unique ideals Sat Nov 27 13:57:08 2021 reduce to 12040428 relations and 11740091 ideals in 6 passes Sat Nov 27 13:57:08 2021 max relations containing the same ideal: 82 Sat Nov 27 13:57:11 2021 relations with 0 large ideals: 893 Sat Nov 27 13:57:11 2021 relations with 1 large ideals: 2873 Sat Nov 27 13:57:11 2021 relations with 2 large ideals: 43320 Sat Nov 27 13:57:11 2021 relations with 3 large ideals: 302844 Sat Nov 27 13:57:11 2021 relations with 4 large ideals: 1128934 Sat Nov 27 13:57:11 2021 relations with 5 large ideals: 2482777 Sat Nov 27 13:57:11 2021 relations with 6 large ideals: 3363784 Sat Nov 27 13:57:11 2021 relations with 7+ large ideals: 4715003 Sat Nov 27 13:57:11 2021 commencing 2-way merge Sat Nov 27 13:57:20 2021 reduce to 7677257 relation sets and 7376920 unique ideals Sat Nov 27 13:57:20 2021 commencing full merge Sat Nov 27 14:03:29 2021 memory use: 342.8 MB Sat Nov 27 14:03:29 2021 found 15334 cycles, need 1679093 Sat Nov 27 14:03:29 2021 too few cycles, matrix probably cannot build Sat Nov 27 14:03:29 2021 filtering wants 1000000 more relations Sat Nov 27 14:03:29 2021 elapsed time 00:29:47 Sat Nov 27 14:07:11 2021 Sat Nov 27 14:07:11 2021 Sat Nov 27 14:07:11 2021 Msieve v. 1.54 (SVN 1043M) Sat Nov 27 14:07:11 2021 random seeds: aa5e8178 adaa6a2f Sat Nov 27 14:07:11 2021 factoring 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 (153 digits) Sat Nov 27 14:07:12 2021 searching for 15-digit factors Sat Nov 27 14:07:12 2021 commencing number field sieve (153-digit input) Sat Nov 27 14:07:12 2021 R0: -345358472074720335029276423754 Sat Nov 27 14:07:12 2021 R1: 42782114007112349 Sat Nov 27 14:07:12 2021 A0: -31795118349117926867980227103528018975 Sat Nov 27 14:07:12 2021 A1: 14648248429502062739850993087905 Sat Nov 27 14:07:12 2021 A2: 2971296265623586923626388 Sat Nov 27 14:07:12 2021 A3: -2222027722594214471 Sat Nov 27 14:07:12 2021 A4: -111299059727 Sat Nov 27 14:07:12 2021 A5: 56304 Sat Nov 27 14:07:12 2021 skew 4636948.22, size 7.108e-15, alpha -6.275, combined = 3.581e-12 rroots = 3 Sat Nov 27 14:07:12 2021 Sat Nov 27 14:07:12 2021 commencing relation filtering Sat Nov 27 14:07:12 2021 setting target matrix density to 130.0 Sat Nov 27 14:07:12 2021 estimated available RAM is 31368.2 MB Sat Nov 27 14:07:12 2021 commencing duplicate removal, pass 1 Sat Nov 27 14:17:45 2021 skipped 2 relations with composite factors Sat Nov 27 14:17:45 2021 found 13998923 hash collisions in 64928958 relations Sat Nov 27 14:18:21 2021 commencing duplicate removal, pass 2 Sat Nov 27 14:18:54 2021 found 14585843 duplicates and 50343115 unique relations Sat Nov 27 14:18:54 2021 memory use: 362.4 MB Sat Nov 27 14:18:54 2021 reading ideals above 720000 Sat Nov 27 14:18:54 2021 commencing singleton removal, initial pass Sat Nov 27 14:27:19 2021 memory use: 1378.0 MB Sat Nov 27 14:27:19 2021 reading all ideals from disk Sat Nov 27 14:27:21 2021 memory use: 1800.6 MB Sat Nov 27 14:27:25 2021 keeping 46863792 ideals with weight <= 200, target excess is 258893 Sat Nov 27 14:27:31 2021 commencing in-memory singleton removal Sat Nov 27 14:27:35 2021 begin with 50343115 relations and 46863792 unique ideals Sat Nov 27 14:28:30 2021 reduce to 32735667 relations and 27485354 ideals in 15 passes Sat Nov 27 14:28:30 2021 max relations containing the same ideal: 159 Sat Nov 27 14:28:47 2021 removing 4526534 relations and 3526534 ideals in 1000000 cliques Sat Nov 27 14:28:49 2021 commencing in-memory singleton removal Sat Nov 27 14:28:51 2021 begin with 28209133 relations and 27485354 unique ideals Sat Nov 27 14:29:11 2021 reduce to 27698204 relations and 23428446 ideals in 8 passes Sat Nov 27 14:29:11 2021 max relations containing the same ideal: 145 Sat Nov 27 14:29:25 2021 removing 3610332 relations and 2610332 ideals in 1000000 cliques Sat Nov 27 14:29:27 2021 commencing in-memory singleton removal Sat Nov 27 14:29:29 2021 begin with 24087872 relations and 23428446 unique ideals Sat Nov 27 14:29:58 2021 reduce to 23703844 relations and 20420619 ideals in 9 passes Sat Nov 27 14:29:58 2021 max relations containing the same ideal: 127 Sat Nov 27 14:30:12 2021 removing 3378955 relations and 2378955 ideals in 1000000 cliques Sat Nov 27 14:30:13 2021 commencing in-memory singleton removal Sat Nov 27 14:30:14 2021 begin with 20324889 relations and 20420619 unique ideals Sat Nov 27 14:30:31 2021 reduce to 19940940 relations and 17642841 ideals in 8 passes Sat Nov 27 14:30:31 2021 max relations containing the same ideal: 115 Sat Nov 27 14:30:41 2021 removing 3299739 relations and 2299739 ideals in 1000000 cliques Sat Nov 27 14:30:43 2021 commencing in-memory singleton removal Sat Nov 27 14:30:44 2021 begin with 16641201 relations and 17642841 unique ideals Sat Nov 27 14:30:57 2021 reduce to 16207740 relations and 14890232 ideals in 7 passes Sat Nov 27 14:30:57 2021 max relations containing the same ideal: 101 Sat Nov 27 14:31:06 2021 removing 3300298 relations and 2300298 ideals in 1000000 cliques Sat Nov 27 14:31:07 2021 commencing in-memory singleton removal Sat Nov 27 14:31:08 2021 begin with 12907442 relations and 14890232 unique ideals Sat Nov 27 14:31:19 2021 reduce to 12359182 relations and 12011503 ideals in 9 passes Sat Nov 27 14:31:19 2021 max relations containing the same ideal: 83 Sat Nov 27 14:31:26 2021 removing 313048 relations and 265685 ideals in 47363 cliques Sat Nov 27 14:31:26 2021 commencing in-memory singleton removal Sat Nov 27 14:31:27 2021 begin with 12046134 relations and 12011503 unique ideals Sat Nov 27 14:31:35 2021 reduce to 12040428 relations and 11740091 ideals in 6 passes Sat Nov 27 14:31:35 2021 max relations containing the same ideal: 82 Sat Nov 27 14:31:38 2021 relations with 0 large ideals: 893 Sat Nov 27 14:31:38 2021 relations with 1 large ideals: 2873 Sat Nov 27 14:31:38 2021 relations with 2 large ideals: 43320 Sat Nov 27 14:31:38 2021 relations with 3 large ideals: 302844 Sat Nov 27 14:31:38 2021 relations with 4 large ideals: 1128934 Sat Nov 27 14:31:38 2021 relations with 5 large ideals: 2482777 Sat Nov 27 14:31:38 2021 relations with 6 large ideals: 3363784 Sat Nov 27 14:31:38 2021 relations with 7+ large ideals: 4715003 Sat Nov 27 14:31:38 2021 commencing 2-way merge Sat Nov 27 14:31:47 2021 reduce to 7677257 relation sets and 7376920 unique ideals Sat Nov 27 14:31:47 2021 commencing full merge Sat Nov 27 14:38:07 2021 memory use: 342.8 MB Sat Nov 27 14:38:07 2021 found 15334 cycles, need 1679093 Sat Nov 27 14:38:07 2021 too few cycles, matrix probably cannot build Sat Nov 27 14:38:07 2021 filtering wants 1000000 more relations Sat Nov 27 14:38:07 2021 elapsed time 00:30:56 Sat Nov 27 14:40:52 2021 Sat Nov 27 14:40:52 2021 Sat Nov 27 14:40:52 2021 Msieve v. 1.54 (SVN 1043M) Sat Nov 27 14:40:52 2021 random seeds: e7e2d909 ba2484cb Sat Nov 27 14:40:52 2021 factoring 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 (153 digits) Sat Nov 27 14:40:52 2021 searching for 15-digit factors Sat Nov 27 14:40:53 2021 commencing number field sieve (153-digit input) Sat Nov 27 14:40:53 2021 R0: -345358472074720335029276423754 Sat Nov 27 14:40:53 2021 R1: 42782114007112349 Sat Nov 27 14:40:53 2021 A0: -31795118349117926867980227103528018975 Sat Nov 27 14:40:53 2021 A1: 14648248429502062739850993087905 Sat Nov 27 14:40:53 2021 A2: 2971296265623586923626388 Sat Nov 27 14:40:53 2021 A3: -2222027722594214471 Sat Nov 27 14:40:53 2021 A4: -111299059727 Sat Nov 27 14:40:53 2021 A5: 56304 Sat Nov 27 14:40:53 2021 skew 4636948.22, size 7.108e-15, alpha -6.275, combined = 3.581e-12 rroots = 3 Sat Nov 27 14:40:53 2021 Sat Nov 27 14:40:53 2021 commencing relation filtering Sat Nov 27 14:40:53 2021 setting target matrix density to 120.0 Sat Nov 27 14:40:53 2021 estimated available RAM is 31368.2 MB Sat Nov 27 14:40:53 2021 commencing duplicate removal, pass 1 Sat Nov 27 14:50:22 2021 skipped 2 relations with composite factors Sat Nov 27 14:50:22 2021 found 13998923 hash collisions in 64928958 relations Sat Nov 27 14:50:54 2021 commencing duplicate removal, pass 2 Sat Nov 27 14:51:28 2021 found 14585843 duplicates and 50343115 unique relations Sat Nov 27 14:51:28 2021 memory use: 362.4 MB Sat Nov 27 14:51:28 2021 reading ideals above 720000 Sat Nov 27 14:51:28 2021 commencing singleton removal, initial pass Sat Nov 27 14:59:38 2021 memory use: 1378.0 MB Sat Nov 27 14:59:39 2021 reading all ideals from disk Sat Nov 27 15:00:11 2021 memory use: 1800.6 MB Sat Nov 27 15:00:15 2021 keeping 46863792 ideals with weight <= 200, target excess is 258893 Sat Nov 27 15:00:20 2021 commencing in-memory singleton removal Sat Nov 27 15:00:24 2021 begin with 50343115 relations and 46863792 unique ideals Sat Nov 27 15:01:16 2021 reduce to 32735667 relations and 27485354 ideals in 15 passes Sat Nov 27 15:01:16 2021 max relations containing the same ideal: 159 Sat Nov 27 15:01:32 2021 removing 4526534 relations and 3526534 ideals in 1000000 cliques Sat Nov 27 15:01:34 2021 commencing in-memory singleton removal Sat Nov 27 15:01:36 2021 begin with 28209133 relations and 27485354 unique ideals Sat Nov 27 15:01:57 2021 reduce to 27698204 relations and 23428446 ideals in 8 passes Sat Nov 27 15:01:57 2021 max relations containing the same ideal: 145 Sat Nov 27 15:02:12 2021 removing 3610332 relations and 2610332 ideals in 1000000 cliques Sat Nov 27 15:02:14 2021 commencing in-memory singleton removal Sat Nov 27 15:02:16 2021 begin with 24087872 relations and 23428446 unique ideals Sat Nov 27 15:02:35 2021 reduce to 23703844 relations and 20420619 ideals in 9 passes Sat Nov 27 15:02:35 2021 max relations containing the same ideal: 127 Sat Nov 27 15:02:47 2021 removing 3378955 relations and 2378955 ideals in 1000000 cliques Sat Nov 27 15:02:48 2021 commencing in-memory singleton removal Sat Nov 27 15:02:50 2021 begin with 20324889 relations and 20420619 unique ideals Sat Nov 27 15:03:04 2021 reduce to 19940940 relations and 17642841 ideals in 8 passes Sat Nov 27 15:03:04 2021 max relations containing the same ideal: 115 Sat Nov 27 15:03:15 2021 removing 3299739 relations and 2299739 ideals in 1000000 cliques Sat Nov 27 15:03:16 2021 commencing in-memory singleton removal Sat Nov 27 15:03:17 2021 begin with 16641201 relations and 17642841 unique ideals Sat Nov 27 15:03:28 2021 reduce to 16207740 relations and 14890232 ideals in 7 passes Sat Nov 27 15:03:28 2021 max relations containing the same ideal: 101 Sat Nov 27 15:03:37 2021 removing 3300298 relations and 2300298 ideals in 1000000 cliques Sat Nov 27 15:03:39 2021 commencing in-memory singleton removal Sat Nov 27 15:03:39 2021 begin with 12907442 relations and 14890232 unique ideals Sat Nov 27 15:03:51 2021 reduce to 12359182 relations and 12011503 ideals in 9 passes Sat Nov 27 15:03:51 2021 max relations containing the same ideal: 83 Sat Nov 27 15:03:58 2021 removing 313048 relations and 265685 ideals in 47363 cliques Sat Nov 27 15:03:58 2021 commencing in-memory singleton removal Sat Nov 27 15:03:59 2021 begin with 12046134 relations and 12011503 unique ideals Sat Nov 27 15:04:08 2021 reduce to 12040428 relations and 11740091 ideals in 6 passes Sat Nov 27 15:04:08 2021 max relations containing the same ideal: 82 Sat Nov 27 15:04:12 2021 relations with 0 large ideals: 893 Sat Nov 27 15:04:12 2021 relations with 1 large ideals: 2873 Sat Nov 27 15:04:12 2021 relations with 2 large ideals: 43320 Sat Nov 27 15:04:12 2021 relations with 3 large ideals: 302844 Sat Nov 27 15:04:12 2021 relations with 4 large ideals: 1128934 Sat Nov 27 15:04:12 2021 relations with 5 large ideals: 2482777 Sat Nov 27 15:04:12 2021 relations with 6 large ideals: 3363784 Sat Nov 27 15:04:12 2021 relations with 7+ large ideals: 4715003 Sat Nov 27 15:04:12 2021 commencing 2-way merge Sat Nov 27 15:04:22 2021 reduce to 7677257 relation sets and 7376920 unique ideals Sat Nov 27 15:04:22 2021 commencing full merge Sat Nov 27 15:07:37 2021 memory use: 931.8 MB Sat Nov 27 15:07:37 2021 found 3323080 cycles, need 3321120 Sat Nov 27 15:07:39 2021 weight of 3321120 cycles is about 398859658 (120.10/cycle) Sat Nov 27 15:07:39 2021 distribution of cycle lengths: Sat Nov 27 15:07:39 2021 1 relations: 193193 Sat Nov 27 15:07:39 2021 2 relations: 215654 Sat Nov 27 15:07:39 2021 3 relations: 229775 Sat Nov 27 15:07:39 2021 4 relations: 230453 Sat Nov 27 15:07:39 2021 5 relations: 232499 Sat Nov 27 15:07:39 2021 6 relations: 228213 Sat Nov 27 15:07:39 2021 7 relations: 224871 Sat Nov 27 15:07:39 2021 8 relations: 213142 Sat Nov 27 15:07:39 2021 9 relations: 199843 Sat Nov 27 15:07:39 2021 10+ relations: 1353477 Sat Nov 27 15:07:39 2021 heaviest cycle: 28 relations Sat Nov 27 15:07:40 2021 commencing cycle optimization Sat Nov 27 15:07:48 2021 start with 30015088 relations Sat Nov 27 15:08:59 2021 pruned 1417087 relations Sat Nov 27 15:08:59 2021 memory use: 800.4 MB Sat Nov 27 15:08:59 2021 distribution of cycle lengths: Sat Nov 27 15:08:59 2021 1 relations: 193193 Sat Nov 27 15:08:59 2021 2 relations: 221593 Sat Nov 27 15:08:59 2021 3 relations: 239907 Sat Nov 27 15:08:59 2021 4 relations: 240237 Sat Nov 27 15:08:59 2021 5 relations: 244418 Sat Nov 27 15:08:59 2021 6 relations: 239654 Sat Nov 27 15:08:59 2021 7 relations: 236783 Sat Nov 27 15:08:59 2021 8 relations: 223356 Sat Nov 27 15:08:59 2021 9 relations: 209033 Sat Nov 27 15:08:59 2021 10+ relations: 1272946 Sat Nov 27 15:08:59 2021 heaviest cycle: 28 relations Sat Nov 27 15:09:06 2021 RelProcTime: 1693 Sat Nov 27 15:09:06 2021 elapsed time 00:28:14 Sat Nov 27 15:10:25 2021 Sat Nov 27 15:10:25 2021 Sat Nov 27 15:10:25 2021 Msieve v. 1.54 (SVN 1043M) Sat Nov 27 15:10:25 2021 random seeds: 0bedb35d b31c4652 Sat Nov 27 15:10:25 2021 factoring 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 (153 digits) Sat Nov 27 15:10:26 2021 searching for 15-digit factors Sat Nov 27 15:10:26 2021 commencing number field sieve (153-digit input) Sat Nov 27 15:10:26 2021 R0: -345358472074720335029276423754 Sat Nov 27 15:10:26 2021 R1: 42782114007112349 Sat Nov 27 15:10:26 2021 A0: -31795118349117926867980227103528018975 Sat Nov 27 15:10:26 2021 A1: 14648248429502062739850993087905 Sat Nov 27 15:10:26 2021 A2: 2971296265623586923626388 Sat Nov 27 15:10:26 2021 A3: -2222027722594214471 Sat Nov 27 15:10:26 2021 A4: -111299059727 Sat Nov 27 15:10:26 2021 A5: 56304 Sat Nov 27 15:10:26 2021 skew 4636948.22, size 7.108e-15, alpha -6.275, combined = 3.581e-12 rroots = 3 Sat Nov 27 15:10:26 2021 Sat Nov 27 15:10:26 2021 commencing linear algebra Sat Nov 27 15:10:27 2021 read 3321120 cycles Sat Nov 27 15:10:35 2021 cycles contain 11854297 unique relations Sat Nov 27 15:13:38 2021 read 11854297 relations Sat Nov 27 15:13:59 2021 using 20 quadratic characters above 4294917295 Sat Nov 27 15:14:59 2021 building initial matrix Sat Nov 27 15:17:37 2021 memory use: 1599.7 MB Sat Nov 27 15:17:39 2021 read 3321120 cycles Sat Nov 27 15:17:40 2021 matrix is 3320943 x 3321120 (1558.1 MB) with weight 477316488 (143.72/col) Sat Nov 27 15:17:40 2021 sparse part has weight 368585583 (110.98/col) Sat Nov 27 15:18:17 2021 filtering completed in 2 passes Sat Nov 27 15:18:18 2021 matrix is 3320910 x 3321087 (1558.1 MB) with weight 477315168 (143.72/col) Sat Nov 27 15:18:18 2021 sparse part has weight 368585343 (110.98/col) Sat Nov 27 15:18:37 2021 matrix starts at (0, 0) Sat Nov 27 15:18:38 2021 matrix is 3320910 x 3321087 (1558.1 MB) with weight 477315168 (143.72/col) Sat Nov 27 15:18:38 2021 sparse part has weight 368585343 (110.98/col) Sat Nov 27 15:18:38 2021 saving the first 48 matrix rows for later Sat Nov 27 15:18:38 2021 matrix includes 64 packed rows Sat Nov 27 15:18:39 2021 matrix is 3320862 x 3321087 (1516.1 MB) with weight 407764670 (122.78/col) Sat Nov 27 15:18:39 2021 sparse part has weight 364233093 (109.67/col) Sat Nov 27 15:18:39 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB Sat Nov 27 15:18:53 2021 commencing Lanczos iteration (4 threads) Sat Nov 27 15:18:53 2021 memory use: 1403.8 MB Sat Nov 27 15:19:07 2021 linear algebra at 0.0%, ETA 7h55m Sat Nov 27 15:19:12 2021 checkpointing every 410000 dimensions Sat Nov 27 22:31:35 2021 lanczos halted after 52521 iterations (dim = 3320862) Sat Nov 27 22:31:38 2021 recovered 32 nontrivial dependencies Sat Nov 27 22:31:38 2021 BLanczosTime: 26472 Sat Nov 27 22:31:38 2021 Sat Nov 27 22:31:38 2021 commencing square root phase Sat Nov 27 22:31:38 2021 reading relations for dependency 1 Sat Nov 27 22:31:48 2021 read 1660240 cycles Sat Nov 27 22:31:52 2021 cycles contain 5926052 unique relations Sat Nov 27 22:41:17 2021 read 5926052 relations Sat Nov 27 22:41:49 2021 multiplying 5926052 relations Sat Nov 27 22:46:51 2021 multiply complete, coefficients have about 299.16 million bits Sat Nov 27 22:46:52 2021 initial square root is modulo 233341 Sat Nov 27 22:53:01 2021 sqrtTime: 1283 Sat Nov 27 22:53:01 2021 p71 factor: 63109804343342219227348208246766611733432831182283644246408543919186187 Sat Nov 27 22:53:01 2021 p82 factor: 4383216080302147965760191079042956130953219106427968238654931399702747731439316573 Sat Nov 27 22:53:01 2021 elapsed time 07:42:36

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	0		-	-
40	3e6	410		Serge Batalov	November 19, 2008 21:40:49 UTC 2008 年 11 月 20 日 (木) 6 時 40 分 49 秒 (日本時間)
45	11e6	4388	1500	Serge Batalov	January 5, 2009 04:26:08 UTC 2009 年 1 月 5 日 (月) 13 時 26 分 8 秒 (日本時間)
45	11e6	4388	2888	Wataru Sakai	January 5, 2010 13:15:49 UTC 2010 年 1 月 5 日 (火) 22 時 15 分 49 秒 (日本時間)
50	43e6	3697	2687	Wataru Sakai	January 11, 2010 06:58:01 UTC 2010 年 1 月 11 日 (月) 15 時 58 分 1 秒 (日本時間)
50	43e6	3697	1010	yoyo@home	January 29, 2010 12:50:12 UTC 2010 年 1 月 29 日 (金) 21 時 50 分 12 秒 (日本時間)
55	11e7	1195 / 16172		yoyo@home	October 5, 2010 00:30:58 UTC 2010 年 10 月 5 日 (火) 9 時 30 分 58 秒 (日本時間)

16×10²²⁹-13

c230

name 名前	Serge Batalov
date 日付	October 31, 2008 18:47:25 UTC 2008 年 11 月 1 日 (土) 3 時 47 分 25 秒 (日本時間)
composite number 合成数	53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<230>
prime factors 素因数	138587157716002611881874212016797719<36>
composite cofactor 合成数の残り	384836042619661515037583365602420853804947706362741067724480589885195095790677520451016462477007474961684527089033394907416313251084718861869219905548092763513236834002103979070093897973877134707<195>
factorization results 素因数分解の結果	GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM] Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2575188952 Step 1 took 13664ms Step 2 took 7337ms ********** Factor found in step 2: 138587157716002611881874212016797719 Found probable prime factor of 36 digits: 138587157716002611881874212016797719 Composite cofactor 384836042619661515037583365602420853804947706362741067724480589885195095790677520451016462477007474961684527089033394907416313251084718861869219905548092763513236834002103979070093897973877134707 has 195 digits
software ソフトウェア	GMP-ECM 6.2.1

c195

name 名前	Dmitry Domanov
date 日付	July 18, 2021 10:49:22 UTC 2021 年 7 月 18 日 (日) 19 時 49 分 22 秒 (日本時間)
composite number 合成数	384836042619661515037583365602420853804947706362741067724480589885195095790677520451016462477007474961684527089033394907416313251084718861869219905548092763513236834002103979070093897973877134707<195>
prime factors 素因数	5999443102111082208310244622619433781702326921<46>
composite cofactor 合成数の残り	64145294166427801569784153834281567852995161040796612417622581263907472453830133995116807155228338441214444146814184255612949264922042693700373111067<149>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2247616690 Step 1 took 81845ms Step 2 took 29960ms ********** Factor found in step 2: 5999443102111082208310244622619433781702326921 Found prime factor of 46 digits: 5999443102111082208310244622619433781702326921 Composite cofactor 64145294166427801569784153834281567852995161040796612417622581263907472453830133995116807155228338441214444146814184255612949264922042693700373111067 has 149 digits

c149

name 名前	ebina
date 日付	July 8, 2023 20:15:17 UTC 2023 年 7 月 9 日 (日) 5 時 15 分 17 秒 (日本時間)
composite number 合成数	64145294166427801569784153834281567852995161040796612417622581263907472453830133995116807155228338441214444146814184255612949264922042693700373111067<149>
prime factors 素因数	2663225525837847193756631150773983985290613594472463031<55> 24085565996611487752049493364860315913761471176008554032942979140730582172836839858219317639357<95>
factorization results 素因数分解の結果	Number: 53333_229 N = 64145294166427801569784153834281567852995161040796612417622581263907472453830133995116807155228338441214444146814184255612949264922042693700373111067 (149 digits) Divisors found: r1=2663225525837847193756631150773983985290613594472463031 (pp55) r2=24085565996611487752049493364860315913761471176008554032942979140730582172836839858219317639357 (pp95) Version: Msieve v. 1.53 (SVN unknown) Total time: 69.42 hours. Factorization parameters were as follows: # Murphy_E = 6.577e-12, selected by Dmitry Domanov n: 64145294166427801569784153834281567852995161040796612417622581263907472453830133995116807155228338441214444146814184255612949264922042693700373111067 Y0: -62828782694312907636087086841 Y1: 16018561368170741 c0: 224644768204935005507689104254120720 c1: 528550274674047044086143581448 c2: 1591884218306858814976153 c3: 86901506713748958 c4: -1369503541632 c5: 65520 skew: 1596787.2 type: gnfs # selected mechanically rlim: 32000000 alim: 32000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 32000000/32000000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 43079959 Relations: 6150662 relations Pruned matrix : 3859003 x 3859228 Total sieving time: 64.33 hours. Total relation processing time: 0.26 hours. Matrix solve time: 3.80 hours. time per square root: 1.04 hours. Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,32000000,32000000,29,29,57,57,2.6,2.6,100000 total time: 69.42 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel processors: 16, speed: 3.60GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 13, 2010 17:13:28 UTC 2010 年 9 月 14 日 (火) 2 時 13 分 28 秒 (日本時間)
40	3e6	2310	110	Ignacio Santos	September 13, 2010 17:13:28 UTC 2010 年 9 月 14 日 (火) 2 時 13 分 28 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:41:06 UTC 2011 年 7 月 30 日 (土) 3 時 41 分 6 秒 (日本時間)
			1500	Dmitry Domanov	November 13, 2013 11:15:35 UTC 2013 年 11 月 13 日 (水) 20 時 15 分 35 秒 (日本時間)
45	11e6	6412	32	Ignacio Santos	September 13, 2010 17:13:28 UTC 2010 年 9 月 14 日 (火) 2 時 13 分 28 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:32:59 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 59 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:03:12 UTC 2021 年 6 月 24 日 (木) 19 時 3 分 12 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:45:30 UTC 2021 年 7 月 16 日 (金) 0 時 45 分 30 秒 (日本時間)
			4480	Ignacio Santos	July 20, 2021 19:42:42 UTC 2021 年 7 月 21 日 (水) 4 時 42 分 42 秒 (日本時間)
50	43e6	1000 / 6025		Dmitry Domanov	November 2, 2021 23:04:11 UTC 2021 年 11 月 3 日 (水) 8 時 4 分 11 秒 (日本時間)

16×10²³¹-13

c200

composite cofactor 合成数の残り

18854731986613325965774130431915756435920897280369930080313080486123312847334040260710073874364087875322530539548956267699728925232946911944258007027196992960307185603033870902249922450177353428022991<200>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 13, 2010 18:41:29 UTC 2010 年 9 月 14 日 (火) 3 時 41 分 29 秒 (日本時間)
40	3e6	2310	110	Ignacio Santos	September 13, 2010 18:41:29 UTC 2010 年 9 月 14 日 (火) 3 時 41 分 29 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:41:14 UTC 2011 年 7 月 30 日 (土) 3 時 41 分 14 秒 (日本時間)
			1500	Dmitry Domanov	November 13, 2013 11:15:46 UTC 2013 年 11 月 13 日 (水) 20 時 15 分 46 秒 (日本時間)
45	11e6	1932	32	Ignacio Santos	September 13, 2010 18:41:29 UTC 2010 年 9 月 14 日 (火) 3 時 41 分 29 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:33:00 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 0 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:03:26 UTC 2021 年 6 月 24 日 (木) 19 時 3 分 26 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:45:38 UTC 2021 年 7 月 16 日 (金) 0 時 45 分 38 秒 (日本時間)
50	43e6	1840 / 7031	640	Dmitry Domanov	September 1, 2021 14:17:33 UTC 2021 年 9 月 1 日 (水) 23 時 17 分 33 秒 (日本時間)
50	43e6	1840 / 7031	1200	Dmitry Domanov	November 5, 2021 10:55:22 UTC 2021 年 11 月 5 日 (金) 19 時 55 分 22 秒 (日本時間)

16×10²³⁵-13

c224

name 名前	Serge Batalov
date 日付	July 28, 2011 23:47:34 UTC 2011 年 7 月 29 日 (金) 8 時 47 分 34 秒 (日本時間)
composite number 合成数	50333547694789695338292054403531738789028686077628457172074286157422287964536500711417844154857658257505933631567610296978761501986813655678195474090836567805598421733697998223739170447918648005354633696197684615375678646283<224>
prime factors 素因数	1895186834680491727354212105534157<34>
composite cofactor 合成数の残り	26558620381760616367052594470390800721081065741607488941640193527559867421087538993291091806037750841915505023792578296395474887627482544907713107801879702074802850298666057895725122913508919<191>
factorization results 素因数分解の結果	Input number is 50333547694789695338292054403531738789028686077628457172074286157422287964536500711417844154857658257505933631567610296978761501986813655678195474090836567805598421733697998223739170447918648005354633696197684615375678646283 (224 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2380723667 Step 1 took 12089ms Step 2 took 9543ms ********** Factor found in step 2: 1895186834680491727354212105534157 Found probable prime factor of 34 digits: 1895186834680491727354212105534157 Composite cofactor has 191 digits

c191

name 名前	Serge Batalov
date 日付	July 29, 2011 18:00:37 UTC 2011 年 7 月 30 日 (土) 3 時 0 分 37 秒 (日本時間)
composite number 合成数	26558620381760616367052594470390800721081065741607488941640193527559867421087538993291091806037750841915505023792578296395474887627482544907713107801879702074802850298666057895725122913508919<191>
prime factors 素因数	694958432899909541657258188143367004233848839<45>
composite cofactor 合成数の残り	38216127935792220436629908968366114925041958171303675529478160647341196239626232900730407530521211934721384749742989282072106929733391141185264721<146>
factorization results 素因数分解の結果	Input number is 26558620381760616367052594470390800721081065741607488941640193527559867421087538993291091806037750841915505023792578296395474887627482544907713107801879702074802850298666057895725122913508919 (191 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3303444293 Step 1 took 9129ms Step 2 took 8047ms ********** Factor found in step 2: 694958432899909541657258188143367004233848839 Found probable prime factor of 45 digits: 694958432899909541657258188143367004233848839 Composite cofactor 382161279357... has 146 digits

c146

name 名前	Dylan Delgado
date 日付	May 9, 2020 03:03:36 UTC 2020 年 5 月 9 日 (土) 12 時 3 分 36 秒 (日本時間)
composite number 合成数	38216127935792220436629908968366114925041958171303675529478160647341196239626232900730407530521211934721384749742989282072106929733391141185264721<146>
prime factors 素因数	7554041760401662910697956021530987533237314235159974093183797<61> 5059030535960420148146785746807432455851571741281491205311599910457679079457503822893<85>
factorization results 素因数分解の結果	#Poly used: n: 38216127935792220436629908968366114925041958171303675529478160647341196239626232900730407530521211934721384749742989282072106929733391141185264721 skew: 159873.8 c0: -257256726005022361209223747369254 c1: 1306892318784764271330333107 c2: 58086804770075606474676 c3: 383114613431317183 c4: -1779946936812 c5: -2602080 Y0: -11197591477361363898438680561 Y1: 18266816892077090113 # MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=1.342e+14) = 8.963e-08 #Params file name = 53333_235 tasks.wutimeout = 86400 #one day tasks.polyselect.degree = 5 tasks.polyselect.P = 300000 tasks.polyselect.admax = 5e5 tasks.polyselect.adrange = 1e3 tasks.polyselect.incr = 60 tasks.polyselect.nq = 3125 tasks.polyselect.nrkeep = 200 tasks.lim0 = 17500000 tasks.lim1 = 17500000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 57 tasks.sieve.mfb1 = 57 tasks.sieve.lambda0 = 2.025 tasks.sieve.lambda1 = 2.025 tasks.sieve.ncurves0 = 15 tasks.sieve.ncurves1 = 15 tasks.I = 14 tasks.qmin = 1000000 tasks.sieve.qrange = 5000 tasks.sieve.rels_wanted = 28e6 tasks.filter.purge.keep = 170 tasks.filter.target_density = 160.0 tasks.linalg.bwc.interleaving = 0 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 #Timing and factors Info:Square Root: Factors: 7554041760401662910697956021530987533237314235159974093183797 5059030535960420148146785746807432455851571741281491205311599910457679079457503822893 Info:Square Root: Total cpu/real time for sqrt: 2818.74/752.953 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 77228.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 77918/44.160/52.471/57.040/0.904 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63658/41.560/47.076/53.220/1.229 Info:Polynomial Selection (size optimized): Total time: 71258.7 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 10034.9 Info:Polynomial Selection (root optimized): Rootsieve time: 10026.1 Info:Generate Factor Base: Total cpu/real time for makefb: 26.38/7.93072 Info:Generate Free Relations: Total cpu/real time for freerel: 389.36/100.995 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 36141614 Info:Lattice Sieving: Average J: 7607.29 for 851365 special-q, max bucket fill -bkmult 1.0,1s:1.090410 Info:Lattice Sieving: Total time: 1.77176e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.44/293.882 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 291.6000000000001s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1247.74/1364.36 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1165.2000000000003s Info:Filtering - Singleton removal: Total cpu/real time for purge: 1087.04/1214.06 Info:Filtering - Merging: Total cpu/real time for merge: 391.75/112.664 Info:Filtering - Merging: Total cpu/real time for replay: 101.03/87.9742 Info:Linear Algebra: Total cpu/real time for bwc: 75998.3/38132 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 24386.28, iteration CPU time 0.36, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (66560 iterations) Info:Linear Algebra: Lingen CPU time 317.34, WCT time 175.65 Info:Linear Algebra: Mksol: WCT time 13259.05, iteration CPU time 0.39, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33280 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 118.48/47.903 Info:Square Root: Total cpu/real time for sqrt: 2818.74/752.953 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.61482e+06/951092
software ソフトウェア	CADO-NFS commit 9c92a078
execution environment 実行環境	Intel i5-5200U, Ubuntu 20.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 13, 2010 20:36:18 UTC 2010 年 9 月 14 日 (火) 5 時 36 分 18 秒 (日本時間)
40	3e6	1000	110	Ignacio Santos	September 13, 2010 20:36:18 UTC 2010 年 9 月 14 日 (火) 5 時 36 分 18 秒 (日本時間)
40	3e6	1000	890	Serge Batalov	July 31, 2011 02:10:52 UTC 2011 年 7 月 31 日 (日) 11 時 10 分 52 秒 (日本時間)
45	11e6	1032	32	Ignacio Santos	September 13, 2010 20:36:18 UTC 2010 年 9 月 14 日 (火) 5 時 36 分 18 秒 (日本時間)
45	11e6	1032	1000	Erik Branger	August 9, 2011 18:44:58 UTC 2011 年 8 月 10 日 (水) 3 時 44 分 58 秒 (日本時間)
50	43e6	920 / 7282		Dmitry Domanov	August 21, 2011 08:47:04 UTC 2011 年 8 月 21 日 (日) 17 時 47 分 4 秒 (日本時間)

16×10²³⁷-13

c197

composite cofactor 合成数の残り

49228409945014451582078571603601207431885178000257836419796157942293806981703913688420430727714519132118778080449532800862622876428807127695683403073333260005113627804924496330281659235968971290683<197>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	430		Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	300		Ignacio Santos	September 13, 2010 21:32:12 UTC 2010 年 9 月 14 日 (火) 6 時 32 分 12 秒 (日本時間)
40	3e6	2310	110	Ignacio Santos	September 13, 2010 21:32:12 UTC 2010 年 9 月 14 日 (火) 6 時 32 分 12 秒 (日本時間)
			700	Serge Batalov	July 29, 2011 18:41:25 UTC 2011 年 7 月 30 日 (土) 3 時 41 分 25 秒 (日本時間)
			1500	Dmitry Domanov	November 13, 2013 11:16:10 UTC 2013 年 11 月 13 日 (水) 20 時 16 分 10 秒 (日本時間)
45	11e6	1932	32	Ignacio Santos	September 13, 2010 21:32:12 UTC 2010 年 9 月 14 日 (火) 6 時 32 分 12 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:33:00 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 0 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:03:39 UTC 2021 年 6 月 24 日 (木) 19 時 3 分 39 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:45:48 UTC 2021 年 7 月 16 日 (金) 0 時 45 分 48 秒 (日本時間)
50	43e6	1840 / 7031	640	Dmitry Domanov	September 1, 2021 14:17:45 UTC 2021 年 9 月 1 日 (水) 23 時 17 分 45 秒 (日本時間)
50	43e6	1840 / 7031	1200	Dmitry Domanov	November 5, 2021 11:57:10 UTC 2021 年 11 月 5 日 (金) 20 時 57 分 10 秒 (日本時間)

16×10²⁴³-13

c239

name 名前	Serge Batalov
date 日付	January 1, 2009 11:04:52 UTC 2009 年 1 月 1 日 (木) 20 時 4 分 52 秒 (日本時間)
composite number 合成数	28697132259701872667237022170328241385928002482301940464211985716002417733392879882772214719117850154336764434209133938484109859796573203694038350130123559090085678875502872403582119534317286255687861292411222730998462909853339718445261117<239>
prime factors 素因数	142418441176840492033032134216942205277<39> 201498710578279266127850534345602794151552427229210220839574119308833713179199126509670068269959423304410557453149770591553404877715402614939279778740096562086248467773700074883514599656144871992813921<201>
factorization results 素因数分解の結果	Run 1107 out of 4410: Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=969687583 Step 1 took 88244ms Step 2 took 49818ms ********** Factor found in step 2: 142418441176840492033032134216942205277 Found probable prime factor of 39 digits: 142418441176840492033032134216942205277 Probable prime cofactor 201498710578279266127850534345602794151552427229210220839574119308833713179199126509670068269959423304410557453149770591553404877715402614939279778740096562086248467773700074883514599656144871992813921 has 201 digits
software ソフトウェア	GMP-ECM 6.2.1

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
30	25e4	430	Makoto Kamada	October 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
35	1e6	0	-	-
40	3e6	313 / 2336	Serge Batalov	November 13, 2008 20:29:18 UTC 2008 年 11 月 14 日 (金) 5 時 29 分 18 秒 (日本時間)

16×10²⁵¹-13

c169

name 名前	KTakahashi
date 日付	February 27, 2014 10:35:05 UTC 2014 年 2 月 27 日 (木) 19 時 35 分 5 秒 (日本時間)
composite number 合成数	3552753220110467613280307080564871918195749907974036779855366535666999509484479720436964377038268478562982560369393693514025489982411385985530014415655691026348494404053<169>
prime factors 素因数	27740146521517059331208939825587<32>
composite cofactor 合成数の残り	128072619131795914225547771165754510069477604090567470703938880972415068792897001786110562927371563021531787024114858192534337487677061719<138>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM] Input number is 3552753220110467613280307080564871918195749907974036779855366535666999509484479720436964377038268478562982560369393693514025489982411385985530014415655691026348494404053 (169 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=736454768 Step 1 took 4368ms Step 2 took 2449ms ********** Factor found in step 2: 27740146521517059331208939825587 Found probable prime factor of 32 digits: 27740146521517059331208939825587 Composite cofactor 128072619131795914225547771165754510069477604090567470703938880972415068792897001786110562927371563021531787024114858192534337487677061719 has 138 digits

c138

name 名前	Erik Branger
date 日付	May 25, 2014 08:48:31 UTC 2014 年 5 月 25 日 (日) 17 時 48 分 31 秒 (日本時間)
composite number 合成数	128072619131795914225547771165754510069477604090567470703938880972415068792897001786110562927371563021531787024114858192534337487677061719<138>
prime factors 素因数	170252817254193948891253509298867389618870402069591241422982769<63> 752249632031513520903827185749073634773961859047764016992474824494015924551<75>
factorization results 素因数分解の結果	Number: 53333_251 N = 128072619131795914225547771165754510069477604090567470703938880972415068792897001786110562927371563021531787024114858192534337487677061719 (138 digits) Divisors found: r1=170252817254193948891253509298867389618870402069591241422982769 (pp63) r2=752249632031513520903827185749073634773961859047764016992474824494015924551 (pp75) Version: Msieve v. 1.51 (SVN Official Release) Total time: 120.01 hours. Factorization parameters were as follows: # Murphy_E = 3.365e-11, selected by Erik Branger # expecting poly E from 3.08e-011 to > 3.54e-011 n: 128072619131795914225547771165754510069477604090567470703938880972415068792897001786110562927371563021531787024114858192534337487677061719 Y0: -448213003456650449930314916 Y1: 538666968088711 c0: 1954645159250636263424907248732325 c1: -1428214562422255909475102119 c2: -16775314008513175086759 c3: -45064805809279569 c4: 10488607186 c5: 7080 skew: 1232493.98 type: gnfs # selected mechanically rlim: 15200000 alim: 15200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 15200000/15200000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23044337 Relations: 3216228 relations Pruned matrix : 2011965 x 2012191 Polynomial selection time: 0.00 hours. Total sieving time: 117.08 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.64 hours. time per square root: 0.17 hours. Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15200000,15200000,28,28,55,55,2.6,2.6,100000 total time: 120.01 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:33:18 UTC 2014 年 2 月 27 日 (木) 19 時 33 分 18 秒 (日本時間)
40	3e6	2104		KTakahashi	February 27, 2014 10:33:18 UTC 2014 年 2 月 27 日 (木) 19 時 33 分 18 秒 (日本時間)
45	11e6	52 / 3974		KTakahashi	February 27, 2014 10:33:18 UTC 2014 年 2 月 27 日 (木) 19 時 33 分 18 秒 (日本時間)

16×10²⁵⁵-13

c247

composite cofactor 合成数の残り

9017448228602128087460780433553985050095444532646547793963772344255358493070059757045721601154586857231633598616008358087905402626180641604437862300886239940580697165895995244328557234552377530452580659914817362888937427934068406518940338715633453<247>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:36:45 UTC 2014 年 2 月 27 日 (木) 19 時 36 分 45 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:04 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 4 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 26, 2014 14:14:08 UTC 2014 年 9 月 26 日 (金) 23 時 14 分 8 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:04:07 UTC 2021 年 6 月 24 日 (木) 19 時 4 分 7 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:45:55 UTC 2021 年 7 月 16 日 (金) 0 時 45 分 55 秒 (日本時間)
50	43e6	4632 / 7021	640	Dmitry Domanov	September 5, 2021 15:07:25 UTC 2021 年 9 月 6 日 (月) 0 時 7 分 25 秒 (日本時間)
			1200	Dmitry Domanov	November 8, 2021 09:24:45 UTC 2021 年 11 月 8 日 (月) 18 時 24 分 45 秒 (日本時間)
			1000	Dmitry Domanov	January 11, 2022 17:32:21 UTC 2022 年 1 月 12 日 (水) 2 時 32 分 21 秒 (日本時間)
			1792	Dmitry Domanov	July 15, 2022 11:19:55 UTC 2022 年 7 月 15 日 (金) 20 時 19 分 55 秒 (日本時間)

16×10²⁵⁹-13

c176

name 名前	KTakahashi
date 日付	February 27, 2014 12:28:40 UTC 2014 年 2 月 27 日 (木) 21 時 28 分 40 秒 (日本時間)
composite number 合成数	19503182180349485418449027962111460930557969020513736065388062856293248002840773655557177682049290334424227293385747408742071995287563772312815645405041959550324155357305177597<176>
prime factors 素因数	569490362512200829801088730581627<33>
composite cofactor 合成数の残り	34246729118144904348990721385738156576161927015714006303306709198590387440067325951992218084290679344491213548680460638356640857865490401371111<143>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM] Input number is 19503182180349485418449027962111460930557969020513736065388062856293248002840773655557177682049290334424227293385747408742071995287563772312815645405041959550324155357305177597 (176 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4102216276 Step 1 took 14788ms Step 2 took 6131ms ********** Factor found in step 2: 569490362512200829801088730581627 Found probable prime factor of 33 digits: 569490362512200829801088730581627 Composite cofactor 34246729118144904348990721385738156576161927015714006303306709198590387440067325951992218084290679344491213548680460638356640857865490401371111 has 143 digits

c143

name 名前	Erik Branger
date 日付	September 10, 2017 11:41:36 UTC 2017 年 9 月 10 日 (日) 20 時 41 分 36 秒 (日本時間)
composite number 合成数	34246729118144904348990721385738156576161927015714006303306709198590387440067325951992218084290679344491213548680460638356640857865490401371111<143>
prime factors 素因数	499707882040761598813456994359175848646844319268354918768077<60> 68533497967421233110667297250111582556034972971860157325366350725715718674067469443<83>
factorization results 素因数分解の結果	Number: 53333_259 N = 34246729118144904348990721385738156576161927015714006303306709198590387440067325951992218084290679344491213548680460638356640857865490401371111 (143 digits) Divisors found: r1=499707882040761598813456994359175848646844319268354918768077 (pp60) r2=68533497967421233110667297250111582556034972971860157325366350725715718674067469443 (pp83) Version: Msieve v. 1.51 (SVN 845) Total time: 491.76 hours. Factorization parameters were as follows: # Murphy_E = 1.44441988e-11, selected by Maksym Voznyy # selected by CADO-NFS n: 34246729118144904348990721385738156576161927015714006303306709198590387440067325951992218084290679344491213548680460638356640857865490401371111 Y0: -2458534350570253548529162204 Y1: 91783349259640087187 c0: 333564455232333370190527499921580 c1: -15634693000699424718909775732 c2: -28797545088659117939471 c3: 468388747178144847 c4: 4058473066956 c5: 10523520 skew: 185183.82333 type: gnfs # selected mechanically rlim: 21000000 alim: 21000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 21000000/21000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23394361 Relations: 4347324 relations Pruned matrix : 2690246 x 2690471 Polynomial selection time: 0.00 hours. Total sieving time: 483.92 hours. Total relation processing time: 0.21 hours. Matrix solve time: 7.12 hours. time per square root: 0.51 hours. Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000 total time: 491.76 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 12:27:56 UTC 2014 年 2 月 27 日 (木) 21 時 27 分 56 秒 (日本時間)
40	3e6	2104		KTakahashi	February 27, 2014 12:27:56 UTC 2014 年 2 月 27 日 (木) 21 時 27 分 56 秒 (日本時間)
45	11e6	3974	52	KTakahashi	February 27, 2014 12:27:56 UTC 2014 年 2 月 27 日 (木) 21 時 27 分 56 秒 (日本時間)
			1800	Serge Batalov	May 24, 2014 17:35:42 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 42 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:33:01 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 1 秒 (日本時間)
			1822	KTakahashi	August 22, 2014 04:38:42 UTC 2014 年 8 月 22 日 (金) 13 時 38 分 42 秒 (日本時間)
50	43e6	215 / 6577		KTakahashi	September 19, 2014 01:13:04 UTC 2014 年 9 月 19 日 (金) 10 時 13 分 4 秒 (日本時間)

16×10²⁶¹-13

c229

name 名前	Serge Batalov
date 日付	May 19, 2014 00:45:02 UTC 2014 年 5 月 19 日 (月) 9 時 45 分 2 秒 (日本時間)
composite number 合成数	4387941564600689224748282337182804579281036689868458960149779190907486476747369981946608435932163591072628677571600855028714210630314167669407994774380391426506148785860956181754420858486075212487948191401097890461588084465301921<229>
prime factors 素因数	16313241542487161195324659407948809<35> 268980358880390347842325567228305426680176176274430234801718470757476353166059354643308824803941266956976444396997240944974331687534703146889761221051307727095858422049027426561491223709002634969<195>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4282918542 Step 1 took 21446ms Step 2 took 14309ms ********** Factor found in step 2: 16313241542487161195324659407948809 Found probable prime factor of 35 digits: 16313241542487161195324659407948809 Probable prime cofactor

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:37:46 UTC 2014 年 2 月 27 日 (木) 19 時 37 分 46 秒 (日本時間)

16×10²⁶³-13

c251

name 名前	Dmitry Domanov
date 日付	July 17, 2022 17:46:51 UTC 2022 年 7 月 18 日 (月) 2 時 46 分 51 秒 (日本時間)
composite number 合成数	34567614047596322511875083685362616161018323832049401317494479725178161954234971946314344290805998272851831435875798947189977488388868589937605686048386455746502714740026628096794300114148745110619058758184325346677505209656464500945159970611844722933<251>
prime factors 素因数	202173646586305441802954958290387292826727112283991<51> 170979821709056592892212018013680136898401869542115571371388160204067481477659472713884040695645511785739421031363818711387309956693100055802475434559931855979487030847077941657713619505556206492796563<201>
factorization results 素因数分解の結果	Resuming ECM residue saved by @112bbe14ad45 with GMP-ECM 7.0.5-dev on Fri Jul 15 12:33:44 2022 Input number is 34567614047596322511875083685362616161018323832049401317494479725178161954234971946314344290805998272851831435875798947189977488388868589937605686048386455746502714740026628096794300114148745110619058758184325346677505209656464500945159970611844722933 (251 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1958350404 Step 1 took 0ms Step 2 took 66978ms ********** Factor found in step 2: 202173646586305441802954958290387292826727112283991 Found prime factor of 51 digits: 202173646586305441802954958290387292826727112283991 Prime cofactor 170979821709056592892212018013680136898401869542115571371388160204067481477659472713884040695645511785739421031363818711387309956693100055802475434559931855979487030847077941657713619505556206492796563 has 201 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:38:02 UTC 2014 年 2 月 27 日 (木) 19 時 38 分 2 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:04 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 4 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 30, 2014 09:32:38 UTC 2014 年 9 月 30 日 (火) 18 時 32 分 38 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:04:29 UTC 2021 年 6 月 24 日 (木) 19 時 4 分 29 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:46:04 UTC 2021 年 7 月 16 日 (金) 0 時 46 分 4 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:07:38 UTC 2021 年 9 月 6 日 (月) 0 時 7 分 38 秒 (日本時間)
			1200	Dmitry Domanov	November 8, 2021 17:40:43 UTC 2021 年 11 月 9 日 (火) 2 時 40 分 43 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:20:49 UTC 2022 年 7 月 15 日 (金) 7 時 20 分 49 秒 (日本時間)

16×10²⁶⁵-13

c222

composite cofactor 合成数の残り

151283688618129211868897938121897153040284387390371594727014064077965095498444747160177886029080850569077677823645099709574434739264670374239065516488713240265687363048249226151072139858728512570203117365769502092154860083<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:38:21 UTC 2014 年 2 月 27 日 (木) 19 時 38 分 21 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:05 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 5 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 21, 2014 00:04:53 UTC 2014 年 9 月 21 日 (日) 9 時 4 分 53 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:04:42 UTC 2021 年 6 月 24 日 (木) 19 時 4 分 42 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:46:14 UTC 2021 年 7 月 16 日 (金) 0 時 46 分 14 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:06:09 UTC 2021 年 9 月 6 日 (月) 0 時 6 分 9 秒 (日本時間)
			1200	Dmitry Domanov	November 5, 2021 14:32:48 UTC 2021 年 11 月 5 日 (金) 23 時 32 分 48 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:20:18 UTC 2022 年 7 月 15 日 (金) 7 時 20 分 18 秒 (日本時間)

16×10²⁷³-13

c239

composite cofactor 合成数の残り

93848190441492961693066501972917058329985800041955333862000217423857063585688073677380322689153188770125780753386337184192913854878663212763624168774885639043080789014711211133593912607016214120445211431242047514302175359523183918923112609<239>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:39:30 UTC 2014 年 2 月 27 日 (木) 19 時 39 分 30 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:05 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 5 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 23, 2014 22:13:40 UTC 2014 年 9 月 24 日 (水) 7 時 13 分 40 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:04:56 UTC 2021 年 6 月 24 日 (木) 19 時 4 分 56 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:47:07 UTC 2021 年 7 月 16 日 (金) 0 時 47 分 7 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:08:05 UTC 2021 年 9 月 6 日 (月) 0 時 8 分 5 秒 (日本時間)
			1200	Dmitry Domanov	November 7, 2021 02:50:39 UTC 2021 年 11 月 7 日 (日) 11 時 50 分 39 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:19:50 UTC 2022 年 7 月 15 日 (金) 7 時 19 分 50 秒 (日本時間)

16×10²⁷⁵-13

c249

composite cofactor 合成数の残り

427836661266335708588817480374326515820951655407500706203691246575967142168459666302558785163247523843736034186953105793415178420410865394154236893001977214379192690864425075288105917428800266616865378647496997816628656377877178683256074445003878609<249>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:39:43 UTC 2014 年 2 月 27 日 (木) 19 時 39 分 43 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:05 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 5 秒 (日本時間)
45	11e6	529		KTakahashi	September 27, 2014 07:03:12 UTC 2014 年 9 月 27 日 (土) 16 時 3 分 12 秒 (日本時間)
50	43e6	0		-	-
55	11e7	3800		Erik Branger	August 20, 2019 17:43:11 UTC 2019 年 8 月 21 日 (水) 2 時 43 分 11 秒 (日本時間)
60	26e7	6700 / 40571		Erik Branger	January 24, 2021 17:16:18 UTC 2021 年 1 月 25 日 (月) 2 時 16 分 18 秒 (日本時間)

16×10²⁷⁷-13

c225

name 名前	KTakahashi
date 日付	February 27, 2014 10:42:31 UTC 2014 年 2 月 27 日 (木) 19 時 42 分 31 秒 (日本時間)
composite number 合成数	526384625903287543782905643980865210480259959608446405909646234252923797908238845436688411855808867754131733294439259550142638337487552721423522398032217370871928850445022905465907904448721399359546384984086706791493343001643<225>
prime factors 素因数	199464092926847786247543527142959<33>
composite cofactor 合成数の残り	2638994408363693944829779409503355212609974375287428036878248514826477683307964517330551579466782017224739868544303828034095697261421424083499481028048181785465016226357225651485837323610478277<193>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM] Input number is 526384625903287543782905643980865210480259959608446405909646234252923797908238845436688411855808867754131733294439259550142638337487552721423522398032217370871928850445022905465907904448721399359546384984086706791493343001643 (225 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4125614920 Step 1 took 5601ms Step 2 took 3011ms ********** Factor found in step 2: 199464092926847786247543527142959 Found probable prime factor of 33 digits: 199464092926847786247543527142959 Composite cofactor 2638994408363693944829779409503355212609974375287428036878248514826477683307964517330551579466782017224739868544303828034095697261421424083499481028048181785465016226357225651485837323610478277 has 193 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:40:27 UTC 2014 年 2 月 27 日 (木) 19 時 40 分 27 秒 (日本時間)
40	3e6	2104		KTakahashi	February 27, 2014 10:40:27 UTC 2014 年 2 月 27 日 (木) 19 時 40 分 27 秒 (日本時間)
45	11e6	1952	52	KTakahashi	February 27, 2014 10:40:27 UTC 2014 年 2 月 27 日 (木) 19 時 40 分 27 秒 (日本時間)
			300	Serge Batalov	May 27, 2014 00:33:01 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 1 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:05:19 UTC 2021 年 6 月 24 日 (木) 19 時 5 分 19 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:47:25 UTC 2021 年 7 月 16 日 (金) 0 時 47 分 25 秒 (日本時間)
50	43e6	1840 / 7030	640	Dmitry Domanov	September 1, 2021 14:17:55 UTC 2021 年 9 月 1 日 (水) 23 時 17 分 55 秒 (日本時間)
50	43e6	1840 / 7030	1200	Dmitry Domanov	November 5, 2021 11:57:56 UTC 2021 年 11 月 5 日 (金) 20 時 57 分 56 秒 (日本時間)

16×10²⁷⁹-13

c240

name 名前	KTakahashi
date 日付	February 27, 2014 10:46:01 UTC 2014 年 2 月 27 日 (木) 19 時 46 分 1 秒 (日本時間)
composite number 合成数	282394415603554416177569825248074192644685559353054097435689364247264304810252187159275849117103997470343117364118074666555447342007702109833819032106886927281386313887600057282540813219038903350719174018552506909554869596226636091290335843<240>
prime factors 素因数	1931156244374060455403135849<28>
composite cofactor 合成数の残り	146230744625785585709919807472792880895850219407172242408827188718605542281064326574365425530450249339319751739323450785885100423271617917626471382326697681297414076551315799369461246556259395815668748664265200107<213>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM] Input number is 282394415603554416177569825248074192644685559353054097435689364247264304810252187159275849117103997470343117364118074666555447342007702109833819032106886927281386313887600057282540813219038903350719174018552506909554869596226636091290335843 (240 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2997535641 Step 1 took 7222ms Step 2 took 3604ms ********** Factor found in step 2: 1931156244374060455403135849 Found probable prime factor of 28 digits: 1931156244374060455403135849 Composite cofactor 146230744625785585709919807472792880895850219407172242408827188718605542281064326574365425530450249339319751739323450785885100423271617917626471382326697681297414076551315799369461246556259395815668748664265200107 has 213 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:43:54 UTC 2014 年 2 月 27 日 (木) 19 時 43 分 54 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:06 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 6 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 21, 2014 00:23:05 UTC 2014 年 9 月 21 日 (日) 9 時 23 分 5 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:05:32 UTC 2021 年 6 月 24 日 (木) 19 時 5 分 32 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:47:33 UTC 2021 年 7 月 16 日 (金) 0 時 47 分 33 秒 (日本時間)
50	43e6	1840 / 7021	640	Dmitry Domanov	September 5, 2021 15:06:26 UTC 2021 年 9 月 6 日 (月) 0 時 6 分 26 秒 (日本時間)
50	43e6	1840 / 7021	1200	Dmitry Domanov	November 5, 2021 14:34:31 UTC 2021 年 11 月 5 日 (金) 23 時 34 分 31 秒 (日本時間)

16×10²⁸¹-13

c243

composite cofactor 合成数の残り

730374697270999766214226234829400091298431621244644641286138002243071085373626872713610408359433820577003105029590862603870182803047584302278338595542502023035123117518181962552381935858445222060444845440707974337983204553919321984982286592787<243>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:47:14 UTC 2014 年 2 月 27 日 (木) 19 時 47 分 14 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:06 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 6 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 25, 2014 22:26:22 UTC 2014 年 9 月 26 日 (金) 7 時 26 分 22 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:05:47 UTC 2021 年 6 月 24 日 (木) 19 時 5 分 47 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:47:42 UTC 2021 年 7 月 16 日 (金) 0 時 47 分 42 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:08:36 UTC 2021 年 9 月 6 日 (月) 0 時 8 分 36 秒 (日本時間)
			1200	Dmitry Domanov	November 9, 2021 19:07:37 UTC 2021 年 11 月 10 日 (水) 4 時 7 分 37 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:19:28 UTC 2022 年 7 月 15 日 (金) 7 時 19 分 28 秒 (日本時間)

16×10²⁸³-13

c242

composite cofactor 合成数の残り

18947087570777316669295311185999238444795182278984303538741352239258224004077850507938344793053460488688687703725343514589944717443729596245040527477297492901808796372778243243428963664553224057805978308542926893543439780596788292789883261321<242>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:47:36 UTC 2014 年 2 月 27 日 (木) 19 時 47 分 36 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:07 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 7 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 25, 2014 11:29:33 UTC 2014 年 9 月 25 日 (木) 20 時 29 分 33 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:06:01 UTC 2021 年 6 月 24 日 (木) 19 時 6 分 1 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:47:51 UTC 2021 年 7 月 16 日 (金) 0 時 47 分 51 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:09:00 UTC 2021 年 9 月 6 日 (月) 0 時 9 分 0 秒 (日本時間)
			1200	Dmitry Domanov	November 9, 2021 19:07:48 UTC 2021 年 11 月 10 日 (水) 4 時 7 分 48 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:19:16 UTC 2022 年 7 月 15 日 (金) 7 時 19 分 16 秒 (日本時間)

16×10²⁸⁷-13

c224

name 名前	Dmitry Domanov
date 日付	July 22, 2021 00:10:53 UTC 2021 年 7 月 22 日 (木) 9 時 10 分 53 秒 (日本時間)
composite number 合成数	71242650227985507482461773871435559726268378150821117029034530380195036412674893487173213714207730322894090822454308065822783145756344100330837580263404059603609374830949896883334298090955277357627193620895029915789719508929<224>
prime factors 素因数	43376829072805691699277002561109845560205837466684119<53> 1642412591026617522852284386803554154192081484327180394510783529029788775673217504458271569690021761190351477910378837692844612804185471883945704883118094057624136818013991<172>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:806447579 Step 1 took 78825ms Step 2 took 29913ms ********** Factor found in step 2: 43376829072805691699277002561109845560205837466684119 Found prime factor of 53 digits: 43376829072805691699277002561109845560205837466684119 Prime cofactor 1642412591026617522852284386803554154192081484327180394510783529029788775673217504458271569690021761190351477910378837692844612804185471883945704883118094057624136818013991 has 172 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:47:54 UTC 2014 年 2 月 27 日 (木) 19 時 47 分 54 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:07 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 7 秒 (日本時間)
45	11e6	2129 / 4151	529	KTakahashi	September 23, 2014 04:24:16 UTC 2014 年 9 月 23 日 (火) 13 時 24 分 16 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:06:13 UTC 2021 年 6 月 24 日 (木) 19 時 6 分 13 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:48:00 UTC 2021 年 7 月 16 日 (金) 0 時 48 分 0 秒 (日本時間)

16×10²⁸⁹-13

c250

composite cofactor 合成数の残り

1021321851560854297939118573083709686269247862768492399500905511123205137739791394745972196981389928447521040057824248705000957216590478448935472597617595582467585060443151359237948339698906342524298976391229986161673391890754648056800956006119572591<250>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:48:12 UTC 2014 年 2 月 27 日 (木) 19 時 48 分 12 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:08 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 8 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 28, 2014 00:05:40 UTC 2014 年 9 月 28 日 (日) 9 時 5 分 40 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:06:27 UTC 2021 年 6 月 24 日 (木) 19 時 6 分 27 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:48:09 UTC 2021 年 7 月 16 日 (金) 0 時 48 分 9 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:09:33 UTC 2021 年 9 月 6 日 (月) 0 時 9 分 33 秒 (日本時間)
			1200	Dmitry Domanov	November 9, 2021 19:09:44 UTC 2021 年 11 月 10 日 (水) 4 時 9 分 44 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:19:00 UTC 2022 年 7 月 15 日 (金) 7 時 19 分 0 秒 (日本時間)

16×10²⁹¹-13

c268

composite cofactor 合成数の残り

1314203335158097267889621805040320575759840274709695994517083640136240902936732270904395314460567656924090896100767747881500030679557735415338196325144352216961729533848822832843659471620235656852154717322128164995291612042420110309423350778560506929395638108232696803<268>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:48:26 UTC 2014 年 2 月 27 日 (木) 19 時 48 分 26 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:08 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 8 秒 (日本時間)
45	11e6	2129	529	KTakahashi	October 1, 2014 20:58:09 UTC 2014 年 10 月 2 日 (木) 5 時 58 分 9 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:06:47 UTC 2021 年 6 月 24 日 (木) 19 時 6 分 47 秒 (日本時間)
			1000	Dmitry Domanov	July 20, 2021 20:51:51 UTC 2021 年 7 月 21 日 (水) 5 時 51 分 51 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 23:30:25 UTC 2021 年 9 月 6 日 (月) 8 時 30 分 25 秒 (日本時間)
			1200	Dmitry Domanov	November 16, 2021 19:07:46 UTC 2021 年 11 月 17 日 (水) 4 時 7 分 46 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:18:36 UTC 2022 年 7 月 15 日 (金) 7 時 18 分 36 秒 (日本時間)

16×10²⁹³-13

c289

composite cofactor 合成数の残り

3247102468406707701924111156435249732621406117135162669686471962284904829456090042151448918004574355602367949475085591591628158060830405867514160410920817376868859678496266846880853663238944123454835848823026827154706167668194834265860573478884701479664006072081615920543402598087862533917<289>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:48:47 UTC 2014 年 2 月 27 日 (木) 19 時 48 分 47 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3000	1000	Serge Batalov	March 2, 2014 03:23:15 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 15 秒 (日本時間)
45	11e6	3000	2000	Serge Batalov	May 18, 2014 20:06:13 UTC 2014 年 5 月 19 日 (月) 5 時 6 分 13 秒 (日本時間)
50	43e6	3900 / 6875	1000	Serge Batalov	May 18, 2014 20:15:26 UTC 2014 年 5 月 19 日 (月) 5 時 15 分 26 秒 (日本時間)
			1100	Serge Batalov	January 6, 2015 01:40:00 UTC 2015 年 1 月 6 日 (火) 10 時 40 分 0 秒 (日本時間)
			1800	Dmitry Domanov	July 9, 2022 14:06:05 UTC 2022 年 7 月 9 日 (土) 23 時 6 分 5 秒 (日本時間)

16×10²⁹⁵-13

c240

composite cofactor 合成数の残り

306685359838223804076690416804176774125533456195009700386828244993990629849101356226871281128534993608901545096809995405711328374135672125769926013574227591604122223164067611795820835809011224596525791128332101784043798063060164760327313281<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:49:14 UTC 2014 年 2 月 27 日 (木) 19 時 49 分 14 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:08 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 8 秒 (日本時間)
45	11e6	2129	529	KTakahashi	September 24, 2014 13:03:50 UTC 2014 年 9 月 24 日 (水) 22 時 3 分 50 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:07:11 UTC 2021 年 6 月 24 日 (木) 19 時 7 分 11 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:48:20 UTC 2021 年 7 月 16 日 (金) 0 時 48 分 20 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 5, 2021 15:09:50 UTC 2021 年 9 月 6 日 (月) 0 時 9 分 50 秒 (日本時間)
			1200	Dmitry Domanov	November 9, 2021 19:09:58 UTC 2021 年 11 月 10 日 (水) 4 時 9 分 58 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:18:12 UTC 2022 年 7 月 15 日 (金) 7 時 18 分 12 秒 (日本時間)

16×10²⁹⁷-13

c255

composite cofactor 合成数の残り

959798396818468775343473168069601137670552585961079782857620256410689846299578393329886194025590680630183110494956875390205370609028107641606994316963846849749809226495984252413582218868129196695180393237226113137523497821288647220838369827935625272797879<255>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:49:36 UTC 2014 年 2 月 27 日 (木) 19 時 49 分 36 秒 (日本時間)
40	3e6	1300		Serge Batalov	May 26, 2014 18:01:09 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 9 秒 (日本時間)
45	11e6	2129	529	KTakahashi	October 1, 2014 09:30:52 UTC 2014 年 10 月 1 日 (水) 18 時 30 分 52 秒 (日本時間)
			600	Dmitry Domanov	June 24, 2021 10:07:28 UTC 2021 年 6 月 24 日 (木) 19 時 7 分 28 秒 (日本時間)
			1000	Dmitry Domanov	July 15, 2021 15:48:30 UTC 2021 年 7 月 16 日 (金) 0 時 48 分 30 秒 (日本時間)
50	43e6	3632 / 7021	640	Dmitry Domanov	September 6, 2021 21:47:03 UTC 2021 年 9 月 7 日 (火) 6 時 47 分 3 秒 (日本時間)
			1200	Dmitry Domanov	November 16, 2021 19:06:01 UTC 2021 年 11 月 17 日 (水) 4 時 6 分 1 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:17:59 UTC 2022 年 7 月 15 日 (金) 7 時 17 分 59 秒 (日本時間)

16×10²⁹⁹-13

c281

name 名前	Serge Batalov
date 日付	May 18, 2014 22:11:30 UTC 2014 年 5 月 19 日 (月) 7 時 11 分 30 秒 (日本時間)
composite number 合成数	25205865684862460965071795863665839523006627915263722332426833036431892133451990732214296089141869454042859586999312948905511324399321858174782942760225224321766878919296537496943376922213769901988922292284613754388908571889748064533901875332625912421727748613506964437685809786449<281>
prime factors 素因数	578430357773976174055392746991886573<36> 43576318818853811378086630859116764523703108523011847706863458329026730348782793170161430362030165643219812510486792090437530555942730794691761435115262230742409058738714420533887977757937867414923873691719961190581959598493033268903888042257013<245>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2651910017 Step 1 took 97661ms Step 2 took 40403ms ********** Factor found in step 2: 578430357773976174055392746991886573 Found probable prime factor of 36 digits: 578430357773976174055392746991886573 Probable prime cofactor

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904	118	Makoto Kamada	February 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	904	786	KTakahashi	February 27, 2014 10:49:49 UTC 2014 年 2 月 27 日 (木) 19 時 49 分 49 秒 (日本時間)

16×10³⁰¹-13

c256

name 名前	Dmitry Domanov
date 日付	September 9, 2021 04:46:37 UTC 2021 年 9 月 9 日 (木) 13 時 46 分 37 秒 (日本時間)
composite number 合成数	1409145939843377011629055088739029060934004778714648966990263018420517666719164424395200066385949390783894177601214951552864583824057697548803606007110726381305886324668294435274876744262705248560966893534921632930378270054379401825184697276792748744064319<256>
prime factors 素因数	34532355474097273518430842031305489427335187<44>
composite cofactor 合成数の残り	40806539852179433635197879775585228040772293479057050423718880499089211900798257441854091681810247697975959412985936698164685515472167333333569740919702835138215356416467950724045024083182976761277183061771875237<212>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1292738072 Step 1 took 235447ms Step 2 took 64980ms ********** Factor found in step 2: 34532355474097273518430842031305489427335187 Found prime factor of 44 digits: 34532355474097273518430842031305489427335187 Composite cofactor 40806539852179433635197879775585228040772293479057050423718880499089211900798257441854091681810247697975959412985936698164685515472167333333569740919702835138215356416467950724045024083182976761277183061771875237 has 212 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 12, 2021 17:39:22 UTC 2021 年 6 月 13 日 (日) 2 時 39 分 22 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:31:55 UTC 2021 年 7 月 2 日 (金) 0 時 31 分 55 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:52:32 UTC 2021 年 7 月 21 日 (水) 5 時 52 分 32 秒 (日本時間)
50	43e6	1840 / 7017	640	Dmitry Domanov	September 6, 2021 21:46:59 UTC 2021 年 9 月 7 日 (火) 6 時 46 分 59 秒 (日本時間)
50	43e6	1840 / 7017	1200	Dmitry Domanov	November 6, 2021 00:07:19 UTC 2021 年 11 月 6 日 (土) 9 時 7 分 19 秒 (日本時間)

16×10³⁰³-13

c270

composite cofactor 合成数の残り

622164227227756382400320200876011605887443289150505262779549238500074043581947558022027219986909379212050174654609327108465960613104383232191985783718078401725513157353701347963252544264246257734578368316598236120172499595774792737773829874576829340156732235179640427031<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 12, 2021 17:46:41 UTC 2021 年 6 月 13 日 (日) 2 時 46 分 41 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:32:09 UTC 2021 年 7 月 2 日 (金) 0 時 32 分 9 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:52:38 UTC 2021 年 7 月 21 日 (水) 5 時 52 分 38 秒 (日本時間)
50	43e6	4240 / 7017	640	Dmitry Domanov	September 9, 2021 04:53:18 UTC 2021 年 9 月 9 日 (木) 13 時 53 分 18 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 15:29:29 UTC 2021 年 11 月 18 日 (木) 0 時 29 分 29 秒 (日本時間)
			1800	Dmitry Domanov	July 9, 2022 14:05:49 UTC 2022 年 7 月 9 日 (土) 23 時 5 分 49 秒 (日本時間)

16×10³⁰⁵-13

c256

composite cofactor 合成数の残り

1232253433592335641428499253746904052351508329880575832356322852554563889504626164751462521118155004151561108338794733034306708120732056065467123781103560043342560706834412437800505642160731733393394781512716870426557814517304608676687257959348505375755999<256>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 12, 2021 17:39:30 UTC 2021 年 6 月 13 日 (日) 2 時 39 分 30 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:32:22 UTC 2021 年 7 月 2 日 (金) 0 時 32 分 22 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:52:52 UTC 2021 年 7 月 21 日 (水) 5 時 52 分 52 秒 (日本時間)
50	43e6	3632 / 7017	640	Dmitry Domanov	September 7, 2021 18:44:01 UTC 2021 年 9 月 8 日 (水) 3 時 44 分 1 秒 (日本時間)
			1200	Dmitry Domanov	November 16, 2021 19:05:39 UTC 2021 年 11 月 17 日 (水) 4 時 5 分 39 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:17:08 UTC 2022 年 7 月 15 日 (金) 7 時 17 分 8 秒 (日本時間)

16×10³⁰⁷-13

c280

name 名前	Dmitry Domanov
date 日付	July 4, 2021 09:02:55 UTC 2021 年 7 月 4 日 (日) 18 時 2 分 55 秒 (日本時間)
composite number 合成数	7808741361191994061699664338217885068594922541887910749224802505858664433302894047055266543525106151547422588506630730922676584030040372692193726693070804591545670304043040673426073960764032087734545620913884256161638756518766005595367515600063002649247544838083371092861708757003<280>
prime factors 素因数	1249645394363747585053014857066864081<37>
composite cofactor 合成数の残り	6248765767002075313847561245711108735112260703955430387143489841621690268712111187890222254195435015697259754689920240456643122564702615986741785406426619423883949356112595730199006290578566256256262843775002835356382124792114235833043095687963<244>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2920727782 Step 1 took 83714ms Step 2 took 29690ms ********** Factor found in step 2: 1249645394363747585053014857066864081 Found prime factor of 37 digits: 1249645394363747585053014857066864081 Composite cofactor 6248765767002075313847561245711108735112260703955430387143489841621690268712111187890222254195435015697259754689920240456643122564702615986741785406426619423883949356112595730199006290578566256256262843775002835356382124792114235833043095687963 has 244 digits

c244

name 名前	Dmitry Domanov
date 日付	November 16, 2021 19:04:03 UTC 2021 年 11 月 17 日 (水) 4 時 4 分 3 秒 (日本時間)
composite number 合成数	6248765767002075313847561245711108735112260703955430387143489841621690268712111187890222254195435015697259754689920240456643122564702615986741785406426619423883949356112595730199006290578566256256262843775002835356382124792114235833043095687963<244>
prime factors 素因数	3328264056925460433432301765857109452981307997<46>
composite cofactor 合成数の残り	1877484977190925518649356864773139679753640715151738627442476012152133111142418198052234480410817579590729267925157275465689705719872811356322718678401184708875931753489159968914407122995435974814679<199>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:795931150 Step 1 took 418631ms Step 2 took 116542ms ********** Factor found in step 2: 3328264056925460433432301765857109452981307997 Found prime factor of 46 digits: 3328264056925460433432301765857109452981307997 Composite cofactor 1877484977190925518649356864773139679753640715151738627442476012152133111142418198052234480410817579590729267925157275465689705719872811356322718678401184708875931753489159968914407122995435974814679 has 199 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 12, 2021 19:16:38 UTC 2021 年 6 月 13 日 (日) 4 時 16 分 38 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:32:34 UTC 2021 年 7 月 2 日 (金) 0 時 32 分 34 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 15, 2021 15:49:43 UTC 2021 年 7 月 16 日 (金) 0 時 49 分 43 秒 (日本時間)
50	43e6	7424	640	Dmitry Domanov	September 5, 2021 15:10:08 UTC 2021 年 9 月 6 日 (月) 0 時 10 分 8 秒 (日本時間)
			1200	Dmitry Domanov	November 9, 2021 19:10:21 UTC 2021 年 11 月 10 日 (水) 4 時 10 分 21 秒 (日本時間)
			2000	Dmitry Domanov	December 13, 2021 10:37:09 UTC 2021 年 12 月 13 日 (月) 19 時 37 分 9 秒 (日本時間)
			3584	Dmitry Domanov	July 15, 2022 11:26:50 UTC 2022 年 7 月 15 日 (金) 20 時 26 分 50 秒 (日本時間)

16×10³⁰⁹-13

c276

composite cofactor 合成数の残り

417966589288269797142697531771584525284349914016396717792585826068132600461249096211302320302079987082279941309639749864550401869013364117519182484544959322049448896299525674388820599432445480645766397907564015903630486051419691710607803756392246454748590932679360397967073803<276>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 12, 2021 19:16:43 UTC 2021 年 6 月 13 日 (日) 4 時 16 分 43 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:32:45 UTC 2021 年 7 月 2 日 (金) 0 時 32 分 45 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:53:35 UTC 2021 年 7 月 21 日 (水) 5 時 53 分 35 秒 (日本時間)
50	43e6	4240 / 7017	640	Dmitry Domanov	October 14, 2021 22:08:52 UTC 2021 年 10 月 15 日 (金) 7 時 8 分 52 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 15:29:37 UTC 2021 年 11 月 18 日 (木) 0 時 29 分 37 秒 (日本時間)
			1800	Dmitry Domanov	July 9, 2022 14:05:27 UTC 2022 年 7 月 9 日 (土) 23 時 5 分 27 秒 (日本時間)

16×10³¹¹-13

c272

name 名前	Dmitry Domanov
date 日付	August 10, 2021 22:33:58 UTC 2021 年 8 月 11 日 (水) 7 時 33 分 58 秒 (日本時間)
composite number 合成数	24545501995190358191351058520187885061793903831640007215487818548908985032248519322527565799741027857859657317850257035517739873957337794006458631575603550722466751357564499024772658423801721670349712204466184243595820090642591724892164999039171521861924565992104403698671<272>
prime factors 素因数	17802457760560865982244543170714860153471<41>
composite cofactor 合成数の残り	1378770410542294288850627925514979224266579906899999298816380681917641561768592466211117048596703457957137538634559633163675064897433858073527424065028959526469221073158337305946357757817969214344404107860343272352214797076012781201<232>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [P-1] Input number is 24545501995190358191351058520187885061793903831640007215487818548908985032248519322527565799741027857859657317850257035517739873957337794006458631575603550722466751357564499024772658423801 721670349712204466184243595820090642591724892164999039171521861924565992104403698671 (272 digits) Using B1=1000000000, B2=0, polynomial x^1, x0=267119181 Step 1 took 755060ms ********** Factor found in step 1: 17802457760560865982244543170714860153471 Found probable prime factor of 41 digits: 17802457760560865982244543170714860153471 Composite cofactor 1378770410542294288850627925514979224266579906899999298816380681917641561768592466211117048596703457957137538634559633163675064897433858073527424065028959526469221073158337305946357757817969214344404107860343272352214797076012781201 has 232 digits
software ソフトウェア	ECM/factor was found by P-1

c232

name 名前	Dmitry Domanov
date 日付	November 10, 2021 10:00:38 UTC 2021 年 11 月 10 日 (水) 19 時 0 分 38 秒 (日本時間)
composite number 合成数	1378770410542294288850627925514979224266579906899999298816380681917641561768592466211117048596703457957137538634559633163675064897433858073527424065028959526469221073158337305946357757817969214344404107860343272352214797076012781201<232>
prime factors 素因数	61458301243482771170290054557103236658808777394523<50>
composite cofactor 合成数の残り	22434242122637637635403649868905162490541870867179978979262960429107350860843082729492633699809544240562759989439902921499348453160252076213780536113430410693689239252402450350169987<182>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2237870374 Step 1 took 336640ms Step 2 took 79324ms ********** Factor found in step 2: 61458301243482771170290054557103236658808777394523 Found probable prime factor of 50 digits: 61458301243482771170290054557103236658808777394523 Composite cofactor 22434242122637637635403649868905162490541870867179978979262960429107350860843082729492633699809544240562759989439902921499348453160252076213780536113430410693689239252402450350169987 has 182 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 12, 2021 21:32:07 UTC 2021 年 6 月 13 日 (日) 6 時 32 分 7 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:32:58 UTC 2021 年 7 月 2 日 (金) 0 時 32 分 58 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:53:49 UTC 2021 年 7 月 21 日 (水) 5 時 53 分 49 秒 (日本時間)
50	43e6	3840 / 7017	640	Dmitry Domanov	September 5, 2021 15:10:29 UTC 2021 年 9 月 6 日 (月) 0 時 10 分 29 秒 (日本時間)
			1200	Dmitry Domanov	November 7, 2021 02:51:11 UTC 2021 年 11 月 7 日 (日) 11 時 51 分 11 秒 (日本時間)
			2000	Dmitry Domanov	February 14, 2022 07:59:06 UTC 2022 年 2 月 14 日 (月) 16 時 59 分 6 秒 (日本時間)

16×10³¹³-13

c293

composite cofactor 合成数の残り

18132858250481166224014504443451936216235358787375977450941359885797256185804699412993555085265195622027737203575899861285094138331422384404358911856779620695484862071997160176949227323551502087604900466417593887542021162508362499397210151748602147646678163264383579952140449154881762978359719<293>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 13, 2021 20:48:28 UTC 2021 年 6 月 14 日 (月) 5 時 48 分 28 秒 (日本時間)
45	11e6	3480	1200	Dmitry Domanov	July 1, 2021 15:33:10 UTC 2021 年 7 月 2 日 (金) 0 時 33 分 10 秒 (日本時間)
			1000	Dmitry Domanov	July 20, 2021 20:54:08 UTC 2021 年 7 月 21 日 (水) 5 時 54 分 8 秒 (日本時間)
			1280	Dmitry Domanov	September 8, 2021 18:43:34 UTC 2021 年 9 月 9 日 (木) 3 時 43 分 34 秒 (日本時間)
50	43e6	4240 / 6729	640	Dmitry Domanov	October 14, 2021 22:08:38 UTC 2021 年 10 月 15 日 (金) 7 時 8 分 38 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 15:29:48 UTC 2021 年 11 月 18 日 (木) 0 時 29 分 48 秒 (日本時間)
			1800	Dmitry Domanov	July 9, 2022 14:05:08 UTC 2022 年 7 月 9 日 (土) 23 時 5 分 8 秒 (日本時間)

16×10³¹⁵-13

c305

composite cofactor 合成数の残り

34601216164393908428323144382228017627032919235127920708908149860028391301341405489494275946872209103553276716220871426695269596182634423211133851231566005610278951797119727970125591306150932149855227835871301476831102937056854085051987543017998841271501707338677225428258677924321874907879202096874689893<305>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:39:53 UTC 2021 年 6 月 14 日 (月) 15 時 39 分 53 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:07:19 UTC 2021 年 7 月 4 日 (日) 18 時 7 分 19 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 15:04:03 UTC 2021 年 7 月 30 日 (金) 0 時 4 分 3 秒 (日本時間)
50	43e6	4880 / 7017	1280	Dmitry Domanov	August 31, 2021 18:03:05 UTC 2021 年 9 月 1 日 (水) 3 時 3 分 5 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 15:30:00 UTC 2021 年 11 月 18 日 (木) 0 時 30 分 0 秒 (日本時間)
			1800	Dmitry Domanov	July 8, 2022 20:58:15 UTC 2022 年 7 月 9 日 (土) 5 時 58 分 15 秒 (日本時間)

16×10³¹⁷-13

c270

name 名前	Eric Jeancolas
date 日付	June 5, 2021 15:39:38 UTC 2021 年 6 月 6 日 (日) 0 時 39 分 38 秒 (日本時間)
composite number 合成数	846128077751967915516662852661278841255331887414674295780023325622655770190888385849597931003263674527621988405615914310344615110096135506703652168671947263347140333627527757328118436865403370268060194065335147312936409640646970348494466038843356053643922446533991976437<270>
prime factors 素因数	100264804540780335002856018672909043<36>
composite cofactor 合成数の残り	8438934096837792726964260636792995624979578515063274647796597841158453978938640159003320487288571369296909722758418856766995676907392529286181436562630759230615581058616904081199185352726813581467277571715482072735303117532562970410359<235>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 846128077751967915516662852661278841255331887414674295780023325622655770190888385849597931003263674527621988405615914310344615110096135506703652168671947263347140333627527757328118436865403370268060194065335147312936409640646970348494466038843356053643922446533991976437 (270 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3160617756 ********** Factor found in step 2: 100264804540780335002856018672909043 Found prime factor of 36 digits: 100264804540780335002856018672909043 Composite cofactor 8438934096837792726964260636792995624979578515063274647796597841158453978938640159003320487288571369296909722758418856766995676907392529286181436562630759230615581058616904081199185352726813581467277571715482072735303117532562970410359 has 235 digits
software ソフトウェア	GMP-ECM 7.0.4
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 13, 2021 16:46:47 UTC 2021 年 6 月 14 日 (月) 1 時 46 分 47 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	June 30, 2021 08:32:18 UTC 2021 年 6 月 30 日 (水) 17 時 32 分 18 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 15, 2021 15:49:51 UTC 2021 年 7 月 16 日 (金) 0 時 49 分 51 秒 (日本時間)
50	43e6	3632 / 7017	640	Dmitry Domanov	September 5, 2021 15:10:50 UTC 2021 年 9 月 6 日 (月) 0 時 10 分 50 秒 (日本時間)
			1200	Dmitry Domanov	November 7, 2021 20:44:53 UTC 2021 年 11 月 8 日 (月) 5 時 44 分 53 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:16:11 UTC 2022 年 7 月 15 日 (金) 7 時 16 分 11 秒 (日本時間)

16×10³¹⁹-13

c231

name 名前	Dmitry Domanov
date 日付	July 16, 2022 05:32:49 UTC 2022 年 7 月 16 日 (土) 14 時 32 分 49 秒 (日本時間)
composite number 合成数	648554480278397190805128903158025217264556356675124145206571102197149515981842792320494474295235264839277985732822428005126690624824563305126956116503932915478813424182711684430790124120772797065583135087658901838355711158230859391<231>
prime factors 素因数	61381763283956656239251795539359092185664372132807659386427<59> 10565914786092660095758210009923500355112045857661438308626259864583297414103369828508313148818473897482929787332937992128849634772243423884177279170614283777631706489249933<173>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6f2a84a14d87 with GMP-ECM 7.0.5-dev on Fri Jul 15 01:12:30 2022 Input number is 648554480278397190805128903158025217264556356675124145206571102197149515981842792320494474295235264839277985732822428005126690624824563305126956116503932915478813424182711684430790124120772797065583135087658901838355711158230859391 (231 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3710424841 Step 1 took 0ms Step 2 took 81870ms ********** Factor found in step 2: 61381763283956656239251795539359092185664372132807659386427 Found prime factor of 59 digits: 61381763283956656239251795539359092185664372132807659386427 Prime cofactor 10565914786092660095758210009923500355112045857661438308626259864583297414103369828508313148818473897482929787332937992128849634772243423884177279170614283777631706489249933 has 173 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	2352		ivelive	June 5, 2021 13:37:08 UTC 2021 年 6 月 5 日 (土) 22 時 37 分 8 秒 (日本時間)
45	11e6	1900	900	Dmitry Domanov	July 1, 2021 15:29:50 UTC 2021 年 7 月 2 日 (金) 0 時 29 分 50 秒 (日本時間)
45	11e6	1900	1000	Dmitry Domanov	July 15, 2021 15:50:02 UTC 2021 年 7 月 16 日 (金) 0 時 50 分 2 秒 (日本時間)
50	43e6	3632 / 7033	640	Dmitry Domanov	September 5, 2021 15:11:03 UTC 2021 年 9 月 6 日 (月) 0 時 11 分 3 秒 (日本時間)
			1200	Dmitry Domanov	November 7, 2021 13:48:52 UTC 2021 年 11 月 7 日 (日) 22 時 48 分 52 秒 (日本時間)
			1792	Dmitry Domanov	July 14, 2022 22:15:45 UTC 2022 年 7 月 15 日 (金) 7 時 15 分 45 秒 (日本時間)

16×10³²¹-13

c273

composite cofactor 合成数の残り

136828869585159340842026084025159926058013711305723892612546504387992098770222699055191276608296548456853189670188012797235849722712280306595728462279767735918891460405237188826996188178939385442477428749936221977176254542898611316400779177317280807926782748797560535493613<273>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 13, 2021 18:38:52 UTC 2021 年 6 月 14 日 (月) 3 時 38 分 52 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:33:20 UTC 2021 年 7 月 2 日 (金) 0 時 33 分 20 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:54:27 UTC 2021 年 7 月 21 日 (水) 5 時 54 分 27 秒 (日本時間)
50	43e6	2440 / 7017	640	Dmitry Domanov	October 14, 2021 22:09:48 UTC 2021 年 10 月 15 日 (金) 7 時 9 分 48 秒 (日本時間)
50	43e6	2440 / 7017	1800	Dmitry Domanov	November 17, 2021 15:30:10 UTC 2021 年 11 月 18 日 (木) 0 時 30 分 10 秒 (日本時間)

16×10³²⁵-13

c319

composite cofactor 合成数の残り

1248321134856233624611125535721891277985692164460660864173555585364423988310034316582057410647884364455563032739086441299918304403530043075583340271268140651494275117354474837657201763188066124850042497922735116546030862695933462049285949778152659017251228537195370535534526077650864348866684740796297966359259005000517<319>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:45:01 UTC 2021 年 6 月 14 日 (月) 15 時 45 分 1 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:07:34 UTC 2021 年 7 月 4 日 (日) 18 時 7 分 34 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:04:45 UTC 2021 年 7 月 30 日 (金) 6 時 4 分 45 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 20:03:13 UTC 2021 年 9 月 11 日 (土) 5 時 3 分 13 秒 (日本時間)

16×10³²⁹-13

c299

composite cofactor 合成数の残り

43315080031301483284744060899294456529471175675672508177844658998412211049539938579571236694078636982671120421654386645526890417039513892545971184852331931220927712575973980885958535428005210873472486132522080928357520555721174377756836518897885800706884299731822241672714851765627299688242883297613<299>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 13, 2021 20:48:34 UTC 2021 年 6 月 14 日 (月) 5 時 48 分 34 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:33:32 UTC 2021 年 7 月 2 日 (金) 0 時 33 分 32 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:55:13 UTC 2021 年 7 月 21 日 (水) 5 時 55 分 13 秒 (日本時間)
50	43e6	4880 / 7017	1280	Dmitry Domanov	August 22, 2021 15:22:16 UTC 2021 年 8 月 23 日 (月) 0 時 22 分 16 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 20:51:42 UTC 2021 年 11 月 18 日 (木) 5 時 51 分 42 秒 (日本時間)
			1800	Dmitry Domanov	July 8, 2022 20:57:50 UTC 2022 年 7 月 9 日 (土) 5 時 57 分 50 秒 (日本時間)

16×10³³³-13

c301

composite cofactor 合成数の残り

1624851161289949795510093736571313515250097338473105863101434770775821251531116964746162364928841246342388811307388152446848255159625900909774314724265190262969604400023303901099380875255668120162195078931767755038280271728455197528284261963828715299370777048576297206955106254693389635955913175775479<301>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:40:02 UTC 2021 年 6 月 14 日 (月) 15 時 40 分 2 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:07:43 UTC 2021 年 7 月 4 日 (日) 18 時 7 分 43 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:04:52 UTC 2021 年 7 月 30 日 (金) 6 時 4 分 52 秒 (日本時間)
50	43e6	4880 / 7017	1280	Dmitry Domanov	August 21, 2021 12:31:45 UTC 2021 年 8 月 21 日 (土) 21 時 31 分 45 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 20:51:35 UTC 2021 年 11 月 18 日 (木) 5 時 51 分 35 秒 (日本時間)
			1800	Dmitry Domanov	July 8, 2022 20:57:29 UTC 2022 年 7 月 9 日 (土) 5 時 57 分 29 秒 (日本時間)

16×10³³⁷-13

c331

composite cofactor 合成数の残り

1406711669307196349175271763726386948908944318545215366105899522788012499020027503499041418312820443972797466920229961838462076596382340257757230174876152445238099445670320398012889646274174241127629921098333743873342072705417862954052128356074453978051798763530335301947186997356094209485057631702259065524779019444069834196258627<331>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:44:43 UTC 2021 年 6 月 14 日 (月) 15 時 44 分 43 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 15:51:24 UTC 2021 年 7 月 9 日 (金) 0 時 51 分 24 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 07:38:02 UTC 2021 年 8 月 1 日 (日) 16 時 38 分 2 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 12, 2021 18:59:36 UTC 2021 年 9 月 13 日 (月) 3 時 59 分 36 秒 (日本時間)

16×10³³⁹-13

c314

composite cofactor 合成数の残り

51476173600064875215659464903736970576067783984135429794815708917120371877693143937757532347860445984412778862769970757770592825980689008729147597312200336395834747397351936626753562847351978038396820566164392538168776386077015421782511369228813348774002297203390287368754500368604452654015633391981448867729131151<314>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:45:15 UTC 2021 年 6 月 14 日 (月) 15 時 45 分 15 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:07:52 UTC 2021 年 7 月 4 日 (日) 18 時 7 分 52 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:05:04 UTC 2021 年 7 月 30 日 (金) 6 時 5 分 4 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 11, 2021 09:13:15 UTC 2021 年 9 月 11 日 (土) 18 時 13 分 15 秒 (日本時間)

16×10³⁴¹-13

c320

composite cofactor 合成数の残り

13397130716111150473370602698846682335443477958056776761461828825533355273223151110022089543399180891000635502599690993835650058298247034409437339761467939371344472773546575936470987905491095268448919177412655507786159302520750121852755042192055082802474074369875507709485244102494387517589993550227568441326105198038471<320>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:44:53 UTC 2021 年 6 月 14 日 (月) 15 時 44 分 53 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:08:02 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 2 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:05:16 UTC 2021 年 7 月 30 日 (金) 6 時 5 分 16 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 11, 2021 09:12:48 UTC 2021 年 9 月 11 日 (土) 18 時 12 分 48 秒 (日本時間)

16×10³⁴³-13

c329

name 名前	Eric Jeancolas
date 日付	June 5, 2021 15:46:07 UTC 2021 年 6 月 6 日 (日) 0 時 46 分 7 秒 (日本時間)
composite number 合成数	10474561153143010959787782792310175384916948565785332590596045421296426507527326224738663343073110088396154508886164578862817570665870638239292093449414395315431056302537624039571722510933573799553182651319481654212120580437062020916784519165418495117007357631383753789346508366263418362203705505907006573942898838526782190665307<329>
prime factors 素因数	848010382518170747439259322606984957<36>
composite cofactor 合成数の残り	12351925600296016705097690564627217064571798290443647771995487297615212646797384112410452156757195994056077228245743790814837721948042704811176573927633245289011563480346056735116936983367903851993038941347119167422253547690637114674519078666470839304637286210450208454937735787132303079722551<293>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 10474561153143010959787782792310175384916948565785332590596045421296426507527326224738663343073110088396154508886164578862817570665870638239292093449414395315431056302537624039571722510933573799553182651319481654212120580437062020916784519165418495117007357631383753789346508366263418362203705505907006573942898838526782190665307 (309 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2940515388 ********** Factor found in step 2: 848010382518170747439259322606984957 Found prime factor of 36 digits: 848010382518170747439259322606984957 Composite cofactor 12351925600296016705097690564627217064571798290443647771995487297615212646797384112410452156757195994056077228245743790814837721948042704811176573927633245289011563480346056735116936983367903851993038941347119167422253547690637114674519078666470839304637286210450208454937735787132303079722551 has 293 digits
software ソフトウェア	GMP-ECM 7.0.4
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 13, 2021 20:48:42 UTC 2021 年 6 月 14 日 (月) 5 時 48 分 42 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:33:42 UTC 2021 年 7 月 2 日 (金) 0 時 33 分 42 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:55:24 UTC 2021 年 7 月 21 日 (水) 5 時 55 分 24 秒 (日本時間)
50	43e6	4240 / 7017	640	Dmitry Domanov	October 14, 2021 22:08:17 UTC 2021 年 10 月 15 日 (金) 7 時 8 分 17 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 20:51:28 UTC 2021 年 11 月 18 日 (木) 5 時 51 分 28 秒 (日本時間)
			1800	Dmitry Domanov	July 8, 2022 19:35:55 UTC 2022 年 7 月 9 日 (土) 4 時 35 分 55 秒 (日本時間)

16×10³⁴⁵-13

c336

composite cofactor 合成数の残り

669985729826962296049266592975028366036934931523540879499830752664523626945489817351213407824204310930946661056589731926010335464596422218257333212929695336832568888597596959846254401561229088039159222759123898927293942239149139783758403189708462699710664857800166611071439239111849173644288637828087079649753936792735481643070137963683<336>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:44:36 UTC 2021 年 6 月 14 日 (月) 15 時 44 分 36 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 15:52:00 UTC 2021 年 7 月 9 日 (金) 0 時 52 分 0 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 07:38:08 UTC 2021 年 8 月 1 日 (日) 16 時 38 分 8 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 13, 2021 15:56:48 UTC 2021 年 9 月 14 日 (火) 0 時 56 分 48 秒 (日本時間)

16×10³⁴⁷-13

c308

composite cofactor 合成数の残り

83551621320105764318986456045154109552736444315563601248174081579622389667440144116577474224039271824973575444512175036899100365657871163324933145518450475814583666981225948902491457415176702479688203008482529191682459086048630010883354206419698156797589841576087312947962854518764311656959904728003573184831<308>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:40:11 UTC 2021 年 6 月 14 日 (月) 15 時 40 分 11 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:08:11 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 11 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:05:24 UTC 2021 年 7 月 30 日 (金) 6 時 5 分 24 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 15, 2021 05:41:05 UTC 2021 年 9 月 15 日 (水) 14 時 41 分 5 秒 (日本時間)

16×10³⁴⁹-13

c310

composite cofactor 合成数の残り

3852115418707241156171650950393834564778349572072856771232762723737971277016123205876370343678001269194321580262622866480142814023350844550462529382564406839379269098396565446662328395065154774784082698644898357581973046920419406389858529360439616624062599370358081270266212485002771677385274648900251140928111<310>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:40:20 UTC 2021 年 6 月 14 日 (月) 15 時 40 分 20 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:08:21 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 21 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:05:36 UTC 2021 年 7 月 30 日 (金) 6 時 5 分 36 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 15, 2021 05:40:58 UTC 2021 年 9 月 15 日 (水) 14 時 40 分 58 秒 (日本時間)

16×10³⁵¹-13

c312

composite cofactor 合成数の残り

521837094090364267592335595398652591764447199166208039858428531560345991783703215094442168544761235182954956758097723981133478082439637875508148713908809845471013446918341871351930965179958078999299679458165366262841572316277354565201653465705490465910024412102491450415012407535083424523757684997863381333101467<312>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:44:24 UTC 2021 年 6 月 14 日 (月) 15 時 44 分 24 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:08:30 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 30 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:05:48 UTC 2021 年 7 月 30 日 (金) 6 時 5 分 48 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 15, 2021 05:40:44 UTC 2021 年 9 月 15 日 (水) 14 時 40 分 44 秒 (日本時間)

16×10³⁵⁵-13

c311

name 名前	Dmitry Domanov
date 日付	June 14, 2021 19:47:00 UTC 2021 年 6 月 15 日 (火) 4 時 47 分 0 秒 (日本時間)
composite number 合成数	51547913678921183647616434488964238539658154226683968403329727872695458630822997944164020181340429214422184185816987295909200159752433399648745323976361428382621280970064874466893832003942210274128657850498299706197952040094308868733571484956176917457096418355494208142182441747545313968537547101745153866699797<311>
prime factors 素因数	6196027064598126775270333593873573108791<40>
composite cofactor 合成数の残り	8319510735104345812747978275004191704786260225546685949143476771308880679870526463544940418991666058792878361065937286220752644171123526159881763231850859200412397622015239730076337631676145562067433834468205635233783361008581960314878875055564681680141763102842836558867<271>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2247624597 Step 1 took 24748ms Step 2 took 9977ms ********** Factor found in step 2: 6196027064598126775270333593873573108791 Found prime factor of 40 digits: 6196027064598126775270333593873573108791 Composite cofactor 8319510735104345812747978275004191704786260225546685949143476771308880679870526463544940418991666058792878361065937286220752644171123526159881763231850859200412397622015239730076337631676145562067433834468205635233783361008581960314878875055564681680141763102842836558867 has 271 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:45:51 UTC 2021 年 6 月 14 日 (月) 15 時 45 分 51 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:33:52 UTC 2021 年 7 月 2 日 (金) 0 時 33 分 52 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:55:33 UTC 2021 年 7 月 21 日 (水) 5 時 55 分 33 秒 (日本時間)
50	43e6	4240 / 7017	640	Dmitry Domanov	October 14, 2021 22:10:04 UTC 2021 年 10 月 15 日 (金) 7 時 10 分 4 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 20:51:21 UTC 2021 年 11 月 18 日 (木) 5 時 51 分 21 秒 (日本時間)
			1800	Dmitry Domanov	July 8, 2022 19:35:30 UTC 2022 年 7 月 9 日 (土) 4 時 35 分 30 秒 (日本時間)

16×10³⁵⁷-13

c323

composite cofactor 合成数の残り

62017336666531185298407841197235805735250605967960823021743647233638996479093743471543446717948953343667675047902740108340604489228538881559327965862088518540382556599408613661963840078571978480481602847267247168213214182836521190285505500302551650604575253748809232002682803506605605701642619036903654926985525605874333879<323>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 06:46:04 UTC 2021 年 6 月 14 日 (月) 15 時 46 分 4 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:08:39 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 39 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:06:03 UTC 2021 年 7 月 30 日 (金) 6 時 6 分 3 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 20, 2021 09:51:16 UTC 2021 年 9 月 20 日 (月) 18 時 51 分 16 秒 (日本時間)

16×10³⁵⁹-13

c308

composite cofactor 合成数の残り

89273493214535400104895651832266944313411322775654756897129080169558818424768501203893416548444638446508752486441865536167123573844264374570380576175449236337815454472319550586627562507552327481173083280210444337644984228212736821491439183489424909376272411755698652814781494156402267240567756869982570545163<308>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:53:06 UTC 2021 年 6 月 15 日 (火) 4 時 53 分 6 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:08:46 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 46 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:07:49 UTC 2021 年 7 月 30 日 (金) 6 時 7 分 49 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 15, 2021 05:40:49 UTC 2021 年 9 月 15 日 (水) 14 時 40 分 49 秒 (日本時間)

16×10³⁶³-13

c350

composite cofactor 合成数の残り

22648771844731150799185426786781023436919107066890906839216467672492515878058308586900555444422843616191246202468950389972508687589412998748092346968135703942075736111932956079657332635800594342221231697080349690785519677761143972223266351510614251554570529713936598206903790462883113642137852462629070580117879791807361514660848956762759786522568009<350>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:55:37 UTC 2021 年 6 月 15 日 (火) 4 時 55 分 37 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 15:56:19 UTC 2021 年 7 月 9 日 (金) 0 時 56 分 19 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 07:38:21 UTC 2021 年 8 月 1 日 (日) 16 時 38 分 21 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 18, 2021 21:09:26 UTC 2021 年 9 月 19 日 (日) 6 時 9 分 26 秒 (日本時間)

16×10³⁶⁵-13

c335

composite cofactor 合成数の残り

15884286434655213473917328328220176241777279779318630471493481552717522910613612904908862676826750388489192444824935680568175598721933259790766050617340747630186024445370112017674019907380422478698712648534619349486335949317748847473807358493220295377964242573913612332829092763268313306972449089537668700393799913369917369089798038133<335>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:52:49 UTC 2021 年 6 月 15 日 (火) 4 時 52 分 49 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 15:56:37 UTC 2021 年 7 月 9 日 (金) 0 時 56 分 37 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 07:38:14 UTC 2021 年 8 月 1 日 (日) 16 時 38 分 14 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 18, 2021 21:09:11 UTC 2021 年 9 月 19 日 (日) 6 時 9 分 11 秒 (日本時間)

16×10³⁶⁹-13

c360

composite cofactor 合成数の残り

305408468118856014420235100309466378897072259226884330672605081451026219454288198237521184166158509971502792616369675558474430054245592530767125425237129313816282064779688653809839542243387298076817945380550549830752431534758074957793642018448355153087584009332697012270387834846726654534898982579803657380387981208581232597138198234134013374427822486573372707<360>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:55:49 UTC 2021 年 6 月 15 日 (火) 4 時 55 分 49 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:00:34 UTC 2021 年 7 月 9 日 (金) 7 時 0 分 34 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:35:42 UTC 2021 年 8 月 2 日 (月) 3 時 35 分 42 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 23:02:52 UTC 2021 年 9 月 11 日 (土) 8 時 2 分 52 秒 (日本時間)

16×10³⁷¹-13

c361

composite cofactor 合成数の残り

5964179660087169669784037768010511547060336550772007611188454727758432593942601590296691805924327650511213288888591703259711207028928860778302057781808821830763458471968752571524671810251002794096922705961705688916028440124611104585654307318715159560335662994546176494363177795373266565441386073314447650413463217245101533777543975429176381514967995374517233787<361>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:55:58 UTC 2021 年 6 月 15 日 (火) 4 時 55 分 58 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:00:44 UTC 2021 年 7 月 9 日 (金) 7 時 0 分 44 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:36:38 UTC 2021 年 8 月 2 日 (月) 3 時 36 分 38 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 23:02:45 UTC 2021 年 9 月 11 日 (土) 8 時 2 分 45 秒 (日本時間)

16×10³⁷⁵-13

c312

composite cofactor 合成数の残り

130565393300824457498951325230967931514481038778993455902803288022916418272832474117200912524806513206500207205714964662720034268632187021334335898388531753264981013709813148052200818018894061671516837307450735062682055228236262981273172719123438971770497880503376295886419978948593106273985148378737378670429027<312>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	2352		ivelive	June 5, 2021 07:40:34 UTC 2021 年 6 月 5 日 (土) 16 時 40 分 34 秒 (日本時間)
45	11e6	1900	900	Dmitry Domanov	July 4, 2021 09:08:56 UTC 2021 年 7 月 4 日 (日) 18 時 8 分 56 秒 (日本時間)
45	11e6	1900	1000	Dmitry Domanov	July 29, 2021 21:07:56 UTC 2021 年 7 月 30 日 (金) 6 時 7 分 56 秒 (日本時間)
50	43e6	640 / 7033		Dmitry Domanov	September 18, 2021 14:36:09 UTC 2021 年 9 月 18 日 (土) 23 時 36 分 9 秒 (日本時間)

16×10³⁷⁷-13

c373

composite cofactor 合成数の残り

1645141024573265841422800215102188962954508766031128124611206906302021158570002292915302998989266483027799798675867117846592655884823676869625658441989756940695750703554841290160719995969404489795498688514139472999637040761453523223736094702543079560048161503494382357507652476297116581890493244125561275847993082181991669417136817125095495295410776290638839106236009874959<373>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:57:51 UTC 2021 年 6 月 15 日 (火) 4 時 57 分 51 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:02:17 UTC 2021 年 7 月 9 日 (金) 7 時 2 分 17 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:04 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 4 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 22:07:28 UTC 2021 年 9 月 11 日 (土) 7 時 7 分 28 秒 (日本時間)

16×10³⁷⁹-13

c356

name 名前	Dmitry Domanov
date 日付	September 14, 2021 14:25:00 UTC 2021 年 9 月 14 日 (火) 23 時 25 分 0 秒 (日本時間)
composite number 合成数	13416041556617093768055979814690002371514793334974576349153076243008873421883217235817776365986877982908755941708503661365115966105648266434720485311021265306391864883064196811681817636932410526195766215395979382258952597858250142920888537120771739042509351532808710894762152151265969342018900916142780841431274640934179353600690989895420263673287949233213<356>
prime factors 素因数	40382498565755605586990634303803749359707641<44>
composite cofactor 合成数の残り	332224157323289273758914253173753306005129416703636152944271148736825245886295954911639621680006629544305443355592159704382727321228396486992849045597550546394864190312920589025964411294197837318071136376683625392663256242269243243348289288225032108782902621971724476304598793967317556801994566443978084962318693<312>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3671694920 Step 1 took 412212ms Step 2 took 106634ms ********** Factor found in step 2: 40382498565755605586990634303803749359707641 Found prime factor of 44 digits: 40382498565755605586990634303803749359707641 Composite cofactor 332224157323289273758914253173753306005129416703636152944271148736825245886295954911639621680006629544305443355592159704382727321228396486992849045597550546394864190312920589025964411294197837318071136376683625392663256242269243243348289288225032108782902621971724476304598793967317556801994566443978084962318693 has 312 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:56:11 UTC 2021 年 6 月 15 日 (火) 4 時 56 分 11 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:00:53 UTC 2021 年 7 月 9 日 (金) 7 時 0 分 53 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:08 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 8 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 22:06:24 UTC 2021 年 9 月 11 日 (土) 7 時 6 分 24 秒 (日本時間)

16×10³⁸¹-13

c369

composite cofactor 合成数の残り

705449059385918676451221896437236930062846588687895750470683485310946178651019300176141114224893534566117647268353871934890366761198560742866553102449150442707182473558335854145850822443368568084547201937725753473548588185624675959686920476596410323973153813871597948899137125862312204489522381108400711221836144196256656930820030406502449380801833111339634712877638889<369>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:57:42 UTC 2021 年 6 月 15 日 (火) 4 時 57 分 42 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:02:24 UTC 2021 年 7 月 9 日 (金) 7 時 2 分 24 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:13 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 13 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 22:07:34 UTC 2021 年 9 月 11 日 (土) 7 時 7 分 34 秒 (日本時間)

16×10³⁸³-13

c288

composite cofactor 合成数の残り

289260578166975324164495155763743610172633959261302093487396895604427305247406370324793910101967445249189515595762533084566423930313280591348343852466531570842041593491235432326553301436836727780853299699159130725242985503018258957044410151363854483154795597467737317846875119735294577837<288>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 13, 2021 20:48:51 UTC 2021 年 6 月 14 日 (月) 5 時 48 分 51 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 1, 2021 15:34:06 UTC 2021 年 7 月 2 日 (金) 0 時 34 分 6 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 20, 2021 20:55:43 UTC 2021 年 7 月 21 日 (水) 5 時 55 分 43 秒 (日本時間)
50	43e6	4240 / 7017	640	Dmitry Domanov	October 14, 2021 22:08:02 UTC 2021 年 10 月 15 日 (金) 7 時 8 分 2 秒 (日本時間)
			1800	Dmitry Domanov	November 17, 2021 20:51:15 UTC 2021 年 11 月 18 日 (木) 5 時 51 分 15 秒 (日本時間)
			1800	Dmitry Domanov	July 8, 2022 19:35:06 UTC 2022 年 7 月 9 日 (土) 4 時 35 分 6 秒 (日本時間)

16×10³⁸⁵-13

c355

composite cofactor 合成数の残り

1143483581833146525672218762078324388500396612922595529055087717777312542193685550600487671272798239900712055620743626641396590000127680892912914002610191779677594426337891707351248570984876303129777100233858205639021769292569039239597549595980241090507475578705689475656933564183054005388142778117925372928146885209765921646506717171554085771507894909627<355>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:56:23 UTC 2021 年 6 月 15 日 (火) 4 時 56 分 23 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:01:03 UTC 2021 年 7 月 9 日 (金) 7 時 1 分 3 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:20 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 20 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 22:06:12 UTC 2021 年 9 月 11 日 (土) 7 時 6 分 12 秒 (日本時間)

16×10³⁸⁷-13

c383

composite cofactor 合成数の残り

12699531466660951877506669238321788665509421861767187426828871432324593674522120599513131712396885757396088068075838427036032539374500452023948141463255890003008201516165312975984392275827473690142544303506102521730088920531888126652427317009673074374012313783198361125464227404160207764334794573172716009108738944462567734141658511186302920336632830352515181893008034834814813050991<383>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:58:39 UTC 2021 年 6 月 15 日 (火) 4 時 58 分 39 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:03:27 UTC 2021 年 7 月 9 日 (金) 7 時 3 分 27 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:25 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 25 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 15:23:37 UTC 2021 年 9 月 11 日 (土) 0 時 23 分 37 秒 (日本時間)

16×10³⁸⁹-13

c322

composite cofactor 合成数の残り

1780725897191112527819106993798729430876744480871692231706151855450760710208355827140994429648356121025336741482351686643174446048754571668030759699764033953144377680554441879723332973529221405240232982617891893989282134713081246313681059990093194905250338228134358295012296051176299542024785051205243162245516364168142271<322>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:51:18 UTC 2021 年 6 月 15 日 (火) 4 時 51 分 18 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:09:08 UTC 2021 年 7 月 4 日 (日) 18 時 9 分 8 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:08:04 UTC 2021 年 7 月 30 日 (金) 6 時 8 分 4 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 18, 2021 14:35:38 UTC 2021 年 9 月 18 日 (土) 23 時 35 分 38 秒 (日本時間)

16×10³⁹¹-13

c372

composite cofactor 合成数の残り

370857448981570764465053005016550994001220428830853239018163871794470931568385096682317325219840328692292659287494663151008101014297666981371675689258543313510487605219869446783580690629299686956045857138206359939472926434341018364768736908512900693273096092348312707088866767015683478203725921012265020482786710527349243023508490880316804896400465043441131927524474185347<372>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:58:29 UTC 2021 年 6 月 15 日 (火) 4 時 58 分 29 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:03:15 UTC 2021 年 7 月 9 日 (金) 7 時 3 分 15 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:31 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 31 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 15:23:56 UTC 2021 年 9 月 11 日 (土) 0 時 23 分 56 秒 (日本時間)

16×10³⁹³-13

c356

composite cofactor 合成数の残り

45381472421038597078249285475307217052087994014993518083601921072600894920515445745571803092632488621773777743539408524003978219056386691992974073088887054069550008908444495894991436693502669026235474119670369594833767886438176796227113106034078440190501875605064490548714168670614589374149249210433792640982601624059032217399543887756650555798307672276837<356>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:56:32 UTC 2021 年 6 月 15 日 (火) 4 時 56 分 32 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:03:04 UTC 2021 年 7 月 9 日 (金) 7 時 3 分 4 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:36 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 36 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 22:06:02 UTC 2021 年 9 月 11 日 (土) 7 時 6 分 2 秒 (日本時間)

16×10³⁹⁵-13

c357

composite cofactor 合成数の残り

619692182160390066301839155883958689701236585666106042499254571571592484625442723754105645422542893936021221396089523213827526836146185260354386484721457097236027401207526082094675455840535083858272703189978574313558923321897401315365157730990525955317395972120000943235648588225776479911345649078441501293009572704241352387521580365372618683118320523213563<357>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:56:42 UTC 2021 年 6 月 15 日 (火) 4 時 56 分 42 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 8, 2021 22:03:37 UTC 2021 年 7 月 9 日 (金) 7 時 3 分 37 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	August 1, 2021 18:37:41 UTC 2021 年 8 月 2 日 (月) 3 時 37 分 41 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 10, 2021 22:05:52 UTC 2021 年 9 月 11 日 (土) 7 時 5 分 52 秒 (日本時間)

16×10³⁹⁷-13

c354

name 名前	Dmitry Domanov
date 日付	June 16, 2021 14:50:15 UTC 2021 年 6 月 16 日 (水) 23 時 50 分 15 秒 (日本時間)
composite number 合成数	185104560794118894939893781285855037409887872481623034751090160718635109371465062014782463373816217983458086169644059516058182990504714555880113087805442382005324513634311889402481166000235320068611788666693813867526287968874435641247636268060535697409671299853881290999481017965042942472032801273817982200700680012616825792399899896348682953659756656609<354>
prime factors 素因数	6844796589135945987066102042396422748859249<43>
composite cofactor 合成数の残り	27043106158613487641776828206494677202550431606674547315868195950447745103378892895159266744938511945170755770848149549484130285830332449620954968227939356221625929764348851834657618624240972223832060148155707181986793167660738811713006710728682656701296011496584349137095898104283302707294541790216288965622641<311>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:814572495 Step 1 took 60240ms Step 2 took 20005ms ********** Factor found in step 2: 6844796589135945987066102042396422748859249 Found prime factor of 43 digits: 6844796589135945987066102042396422748859249 Composite cofactor 27043106158613487641776828206494677202550431606674547315868195950447745103378892895159266744938511945170755770848149549484130285830332449620954968227939356221625929764348851834657618624240972223832060148155707181986793167660738811713006710728682656701296011496584349137095898104283302707294541790216288965622641 has 311 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:56:52 UTC 2021 年 6 月 15 日 (火) 4 時 56 分 52 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:09:18 UTC 2021 年 7 月 4 日 (日) 18 時 9 分 18 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:08:12 UTC 2021 年 7 月 30 日 (金) 6 時 8 分 12 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 14, 2021 23:35:02 UTC 2021 年 9 月 15 日 (水) 8 時 35 分 2 秒 (日本時間)

16×10³⁹⁹-13

c326

composite cofactor 合成数の残り

42411573542902877395567047801418640059656295204963253939758772744312641023484454375611671783614730127850110389367329301217208268767135038067705925839422916104006822671908727301982355379067462096526813611595934333303552738865580027972109828097981845407161702337046560639951221039614290125776787699196921954035867532793194913519<326>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		John	June 4, 2021 06:00:00 UTC 2021 年 6 月 4 日 (金) 15 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	June 14, 2021 19:51:06 UTC 2021 年 6 月 15 日 (火) 4 時 51 分 6 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	July 4, 2021 09:09:25 UTC 2021 年 7 月 4 日 (日) 18 時 9 分 25 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	July 29, 2021 21:08:20 UTC 2021 年 7 月 30 日 (金) 6 時 8 分 20 秒 (日本時間)
50	43e6	640 / 7017		Dmitry Domanov	September 14, 2021 23:34:46 UTC 2021 年 9 月 15 日 (水) 8 時 34 分 46 秒 (日本時間)