Contributed factorization results of 55...5535

Table of contents 目次

5×10¹³⁵-379
- c124
- ECM
5×10¹³⁸-379
- c138
- ECM
5×10¹⁴³-379
- c125
- ECM
5×10¹⁴⁶-379
- c136
- ECM
5×10¹⁴⁹-379
- c140
- ECM
5×10¹⁵¹-379
- c134
- ECM
5×10¹⁵³-379
- c122
- ECM
5×10¹⁵⁴-379
- c119
- ECM
5×10¹⁵⁶-379
- c136
- ECM
5×10¹⁵⁷-379
- c107
- ECM
5×10¹⁵⁹-379
- c146
- ECM
5×10¹⁶²-379
- c126
- ECM
5×10¹⁶⁴-379
- c125
- ECM
5×10¹⁶⁸-379
- c108
- ECM
5×10¹⁷³-379
- c169
- ECM
5×10¹⁷⁴-379
- c122
- ECM
5×10¹⁷⁵-379
- c174
- ECM
5×10¹⁷⁸-379
- c147
- ECM
5×10¹⁸⁵-379
- c179
- ECM
5×10¹⁸⁶-379
- c136
- ECM
5×10¹⁸⁷-379
- c166
- ECM
5×10¹⁸⁸-379
- c180
- ECM
5×10¹⁸⁹-379
- c138
- ECM
5×10¹⁹⁰-379
- c182
- ECM
5×10¹⁹¹-379
- c119
- ECM
5×10¹⁹²-379
- c145
- ECM
5×10¹⁹⁴-379
- c156
- ECM
5×10¹⁹⁸-379
- c190
- ECM
5×10¹⁹⁹-379
- c95
- ECM
5×10²⁰¹-379
- c158
- ECM
5×10²⁰⁴-379
- c192
- c158
- ECM
5×10²⁰⁵-379
- c174
- ECM
5×10²⁰⁸-379
- c203
- ECM
5×10²⁰⁹-379
- c195
- c158
- ECM
5×10²¹⁰-379
- c200
- ECM
5×10²¹¹-379
- c148
- ECM
5×10²¹²-379
- c211
- ECM
5×10²¹⁴-379
- c204
- ECM
5×10²¹⁵-379
- c167
- ECM
5×10²¹⁶-379
- c210
- ECM
5×10²¹⁸-379
- c166
- ECM
5×10²¹⁹-379
- c134
- ECM
5×10²²¹-379
- c198
- c162
- ECM
5×10²²²-379
- c209
- ECM
5×10²²³-379
- c217
- ECM
5×10²²⁴-379
- c207
- ECM
5×10²²⁵-379
- c215
- ECM
5×10²²⁷-379
- c202
- ECM
5×10²²⁸-379
- c174
- ECM
5×10²²⁹-379
- c198
- ECM
5×10²³⁰-379
- c221
- ECM
5×10²³¹-379
- c203
- ECM
5×10²³²-379
- c228
- ECM
5×10²³³-379
- c169
- ECM
5×10²³⁴-379
- c226
- ECM
5×10²³⁵-379
- c166
- ECM
5×10²³⁶-379
- c165
- ECM
5×10²⁴⁰-379
- c230
- ECM
5×10²⁴¹-379
- c240
- ECM
5×10²⁴²-379
- c178
- ECM
5×10²⁴³-379
- c241
- ECM
5×10²⁴⁴-379
- c215
- ECM
5×10²⁴⁷-379
- c227
- ECM
5×10²⁴⁸-379
- c244
- ECM
5×10²⁴⁹-379
- c224
- ECM
5×10²⁵⁰-379
- c237
- ECM
5×10²⁵¹-379
- c242
- ECM
5×10²⁵²-379
- c198
- ECM
5×10²⁵⁴-379
- c212
- ECM
5×10²⁵⁵-379
- c213
- ECM
5×10²⁵⁶-379
- c227
- ECM
5×10²⁵⁷-379
- c218
- ECM
5×10²⁶⁰-379
- c257
- ECM
5×10²⁶¹-379
- c175
- ECM
5×10²⁶³-379
- c245
- ECM
5×10²⁶⁵-379
- c255
- ECM
5×10²⁶⁸-379
- c242
- ECM
5×10²⁶⁹-379
- c252
- ECM
5×10²⁷⁰-379
- c265
- ECM
5×10²⁷¹-379
- c204
- ECM
5×10²⁷³-379
- c266
- ECM
5×10²⁷⁵-379
- c235
- ECM
5×10²⁷⁶-379
- c262
- ECM
5×10²⁷⁷-379
- c221
- ECM
5×10²⁸⁰-379
- c270
- ECM
5×10²⁸¹-379
- c249
- ECM
5×10²⁸³-379
- c263
- ECM
5×10²⁸⁴-379
- c267
- ECM
5×10²⁸⁶-379
- c244
- ECM
5×10²⁸⁷-379
- c219
- ECM
5×10²⁸⁸-379
- c221
- ECM
5×10²⁹⁰-379
- c262
- ECM
5×10²⁹¹-379
- c291
- ECM
5×10²⁹²-379
- c291
- ECM
5×10²⁹³-379
- c262
- ECM
5×10²⁹⁴-379
- c281
- ECM
5×10²⁹⁶-379
- c223
- ECM
5×10²⁹⁷-379
- c231
- ECM
5×10²⁹⁹-379
- c269
- ECM
5×10³⁰⁰-379
- c278
- ECM

5×10¹³⁵-379

c124

name 名前	Ignacio Santos
date 日付	December 28, 2021 23:00:47 UTC 2021 年 12 月 29 日 (水) 8 時 0 分 47 秒 (日本時間)
composite number 合成数	4952973756222532415190402847130203513829760016392669424204879576126492283070871392405112301754996383266324084072324792692289<124>
prime factors 素因数	72629332794916955740021858960907351622967<41> 68195225890456916970477836895914317983390111085833997339532945133152011512818410567<83>
factorization results 素因数分解の結果	N=4952973756222532415190402847130203513829760016392669424204879576126492283070871392405112301754996383266324084072324792692289 ( 124 digits) SNFS difficulty: 135 digits. Divisors found: r1=72629332794916955740021858960907351622967 (pp41) r2=68195225890456916970477836895914317983390111085833997339532945133152011512818410567 (pp83) Version: Msieve v. 1.52 (SVN 927) Total time: 3.09 hours. Scaled time: 24.26 units (timescale=7.862). Factorization parameters were as follows: n: 4952973756222532415190402847130203513829760016392669424204879576126492283070871392405112301754996383266324084072324792692289 m: 5000000000000000000000000000000000 deg: 4 c4: 8 c0: -185 skew: 2.19 # Murphy_E = 7.317e-09 type: snfs lss: 1 rlim: 1280000 alim: 1280000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3Factor base limits: 1280000/1280000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [640000, 1440001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 183829 x 184057 Total sieving time: 3.06 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,135.000,4,0,0,0,0,0,0,0,0,1280000,1280000,26,26,47,47,2.3,2.3,100000 total time: 3.09 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹³⁸-379

c138

name 名前	ebina
date 日付	December 29, 2021 03:35:33 UTC 2021 年 12 月 29 日 (水) 12 時 35 分 33 秒 (日本時間)
composite number 合成数	111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107<138>
prime factors 素因数	38821001133248936930118796068584565036682633759114277730905189513251<68> 2862139251116530935249893158314747444259951800185485710658417132005857<70>
factorization results 素因数分解の結果	38821001133248936930118796068584565036682633759114277730905189513251 * 2862139251116530935249893158314747444259951800185485710658417132005857

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁴³-379

c125

name 名前	Ignacio Santos
date 日付	December 29, 2021 14:30:42 UTC 2021 年 12 月 29 日 (水) 23 時 30 分 42 秒 (日本時間)
composite number 合成数	99540217074015354042026133720474101818831233218991551158720027785333257685766790385515705079030620687265098280958023811168193<125>
prime factors 素因数	35526238457460369156722660431103778940158911959277<50> 2801878875896367331155379216183824058183360572009850645845729264636954291109<76>
factorization results 素因数分解の結果	N=99540217074015354042026133720474101818831233218991551158720027785333257685766790385515705079030620687265098280958023811168193 ( 125 digits) SNFS difficulty: 143 digits. Divisors found: r1=35526238457460369156722660431103778940158911959277 (pp50) r2=2801878875896367331155379216183824058183360572009850645845729264636954291109 (pp76) Version: Msieve v. 1.52 (SVN 927) Total time: 6.75 hours. Scaled time: 53.42 units (timescale=7.918). Factorization parameters were as follows: n: 99540217074015354042026133720474101818831233218991551158720027785333257685766790385515705079030620687265098280958023811168193 m: 500000000000000000000000000000000000 deg: 4 c4: 8 c0: -185 skew: 2.19 # Murphy_E = 2.918e-09 type: snfs lss: 1 rlim: 1740000 alim: 1740000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1740000/1740000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [870000, 1570001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 268306 x 268531 Total sieving time: 6.70 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,143.000,4,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000 total time: 6.75 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁴⁶-379

c136

name 名前	Ignacio Santos
date 日付	December 29, 2021 17:48:29 UTC 2021 年 12 月 30 日 (木) 2 時 48 分 29 秒 (日本時間)
composite number 合成数	6607601990414317300823559928958951312076420165844888226495554939506356142461344920952263274954064296209843665272753579404883658583650783<136>
prime factors 素因数	9064740705222566146810956136400543893<37> 728934473173337302189461355541199676038907403264808809188496832119152942450867812308787952016205731<99>
factorization results 素因数分解の結果	N=6607601990414317300823559928958951312076420165844888226495554939506356142461344920952263274954064296209843665272753579404883658583650783 ( 136 digits) SNFS difficulty: 146 digits. Divisors found: r1=9064740705222566146810956136400543893 (pp37) r2=728934473173337302189461355541199676038907403264808809188496832119152942450867812308787952016205731 (pp99) Version: Msieve v. 1.52 (SVN 927) Total time: 8.67 hours. Scaled time: 67.39 units (timescale=7.770). Factorization parameters were as follows: n: 6607601990414317300823559928958951312076420165844888226495554939506356142461344920952263274954064296209843665272753579404883658583650783 m: 1000000000000000000000000000000000000 deg: 4 c4: 100 c0: -37 skew: 0.78 # Murphy_E = 2.141e-09 type: snfs lss: 1 rlim: 1900000 alim: 1900000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1900000/1900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [950000, 1850001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 295978 x 296204 Total sieving time: 8.61 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,146.000,4,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000 total time: 8.67 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁴⁹-379

c140

name 名前	Ignacio Santos
date 日付	December 29, 2021 22:52:57 UTC 2021 年 12 月 30 日 (木) 7 時 52 分 57 秒 (日本時間)
composite number 合成数	34745135444683960383083727772184835952679278332932598576425298642057018004886450918631309242716538561022203330180236613323075207340753196617<140>
prime factors 素因数	26110959825989268751087022029748630947829011623505073206847<59> 1330672471492248856428421616645983646150240998630089855471657986944530631160897911<82>
factorization results 素因数分解の結果	N=34745135444683960383083727772184835952679278332932598576425298642057018004886450918631309242716538561022203330180236613323075207340753196617 ( 140 digits) SNFS difficulty: 149 digits. Divisors found: r1=26110959825989268751087022029748630947829011623505073206847 (pp59) r2=1330672471492248856428421616645983646150240998630089855471657986944530631160897911 (pp82) Version: Msieve v. 1.52 (SVN 927) Total time: 10.69 hours. Scaled time: 84.22 units (timescale=7.880). Factorization parameters were as follows: n: 34745135444683960383083727772184835952679278332932598576425298642057018004886450918631309242716538561022203330180236613323075207340753196617 m: 10000000000000000000000000000000000000 deg: 4 c4: 10 c0: -37 skew: 1.39 # Murphy_E = 1.684e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 2100000/2100000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1050000, 2150001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 320059 x 320285 Total sieving time: 10.64 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,149.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000 total time: 10.69 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁵¹-379

c134

name 名前	Ignacio Santos
date 日付	December 30, 2021 19:11:21 UTC 2021 年 12 月 31 日 (金) 4 時 11 分 21 秒 (日本時間)
composite number 合成数	13831171015616648236524535018685296837783152172231148483241720331357068599460704512157132154600322432900412755184836853620883515891403<134>
prime factors 素因数	8913825143361076045913014742741388375011<40> 1551653840317695718482962065133330742712083775050581129940018664493695205138088459287501319673<94>
factorization results 素因数分解の結果	N=13831171015616648236524535018685296837783152172231148483241720331357068599460704512157132154600322432900412755184836853620883515891403 ( 134 digits) SNFS difficulty: 151 digits. Divisors found: r1=8913825143361076045913014742741388375011 (pp40) r2=1551653840317695718482962065133330742712083775050581129940018664493695205138088459287501319673 (pp94) Version: Msieve v. 1.52 (SVN 927) Total time: 8.49 hours. Scaled time: 66.61 units (timescale=7.843). Factorization parameters were as follows: n: 13831171015616648236524535018685296837783152172231148483241720331357068599460704512157132154600322432900412755184836853620883515891403 m: 1000000000000000000000000000000 deg: 5 c5: 10 c0: -37 skew: 1.30 # Murphy_E = 1.308e-09 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1150000, 1850001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 359363 x 359591 Total sieving time: 8.43 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000 total time: 8.49 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁵³-379

c122

name 名前	ebina
date 日付	December 30, 2021 01:03:54 UTC 2021 年 12 月 30 日 (木) 10 時 3 分 54 秒 (日本時間)
composite number 合成数	19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933<122>
prime factors 素因数	1406618751432851503399734742467577774167028538768804355762467<61> 13788755850871667390481368307918068093036207590420598739853199<62>
factorization results 素因数分解の結果	11/08/16 07:20:34 v1.34.5 nfs: commencing nfs on c122: 19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933 11/08/16 07:20:34 v1.34.5 nfs: input divides 10^153 - 37 11/08/16 07:20:34 v1.34.5 nfs: using supplied cofactor: 19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933 11/08/16 07:20:34 v1.34.5 nfs: commencing snfs on c122: 19395522538765530746148021437137136725665493649234377129806500366548544600868442820306024480693798849344936111261294081933 11/08/16 07:20:35 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 08:44:58 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 09:55:51 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 11:06:50 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 12:23:16 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 13:45:31 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 15:37:07 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 17:03:15 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 18:29:15 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 19:58:49 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 21:16:30 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 22:35:39 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/08/16 23:48:15 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 01:00:56 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 02:15:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 03:29:57 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 04:42:41 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 05:55:21 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 07:08:01 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 08:53:34 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 10:36:31 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 11:59:31 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 13:52:55 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 15:24:05 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 16:38:29 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 18:29:18 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 19:47:01 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 21:02:35 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 22:19:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/09/16 23:34:23 v1.34.5 nfs: commencing lattice sieving with 1 threads 11/10/16 01:01:18 v1.34.5 nfs: commencing msieve filtering 11/10/16 01:21:16 v1.34.5 nfs: commencing msieve linear algebra 11/10/16 02:38:33 v1.34.5 nfs: commencing msieve sqrt 11/10/16 02:48:09 v1.34.5 prp62 = 13788755850871667390481368307918068093036207590420598739853199 11/10/16 02:48:09 v1.34.5 prp61 = 1406618751432851503399734742467577774167028538768804355762467 11/10/16 02:48:09 v1.34.5 NFS elapsed time = 156455.0938 seconds. 11/10/16 02:48:09 v1.34.5 11/10/16 02:48:09 v1.34.5 11/10/16 02:48:09 v1.34.5 Total factoring time = 241519.4844 seconds
execution environment 実行環境	Pentium Dual E2140 WIN XP 32bit

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁵⁴-379

c119

name 名前	Ignacio Santos
date 日付	January 1, 2022 12:02:39 UTC 2022 年 1 月 1 日 (土) 21 時 2 分 39 秒 (日本時間)
composite number 合成数	20165149998304657599619094827979772598491358889742585867408893610845431382359405053532732967773720432503921753004861151<119>
prime factors 素因数	12176259297878728356853981705510236798511866407<47> 1656103857924387644367824906369137886726878994417622169343167796781817993<73>
factorization results 素因数分解の結果	N=20165149998304657599619094827979772598491358889742585867408893610845431382359405053532732967773720432503921753004861151 ( 119 digits) SNFS difficulty: 154 digits. Divisors found: r1=12176259297878728356853981705510236798511866407 (pp47) r2=1656103857924387644367824906369137886726878994417622169343167796781817993 (pp73) Version: Msieve v. 1.52 (SVN 927) Total time: 10.16 hours. Scaled time: 79.35 units (timescale=7.813). Factorization parameters were as follows: n: 20165149998304657599619094827979772598491358889742585867408893610845431382359405053532732967773720432503921753004861151 m: 5000000000000000000000000000000 deg: 5 c5: 16 c0: -185 skew: 1.63 # Murphy_E = 9.288e-10 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 2700000/2700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1350000, 2150001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 485486 x 485713 Total sieving time: 10.06 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000 total time: 10.16 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁵⁶-379

c136

name 名前	Ignacio Santos
date 日付	January 2, 2022 14:54:18 UTC 2022 年 1 月 2 日 (日) 23 時 54 分 18 秒 (日本時間)
composite number 合成数	8833027151877442088023083861424828572027824025326153220638302767786524800020625758720824760562646121263798736277715395339247086830779051<136>
prime factors 素因数	617487616872789630552533738861621873<36> 14304784275045889674121152966779120531990594591799545122104169172164973140454812013213306688625005787<101>
factorization results 素因数分解の結果	N=8833027151877442088023083861424828572027824025326153220638302767786524800020625758720824760562646121263798736277715395339247086830779051 ( 136 digits) SNFS difficulty: 156 digits. Divisors found: r1=617487616872789630552533738861621873 (pp36) r2=14304784275045889674121152966779120531990594591799545122104169172164973140454812013213306688625005787 (pp101) Version: Msieve v. 1.52 (SVN 927) Total time: 11.28 hours. Scaled time: 88.47 units (timescale=7.843). Factorization parameters were as follows: n: 8833027151877442088023083861424828572027824025326153220638302767786524800020625758720824760562646121263798736277715395339247086830779051 m: 10000000000000000000000000000000 deg: 5 c5: 10 c0: -37 skew: 1.30 # Murphy_E = 8.426e-10 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1400000, 2300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 542199 x 542425 Total sieving time: 11.19 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 11.28 hours.
software ソフトウェア	GNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁵⁷-379

c107

name 名前	Ignacio Santos
date 日付	December 29, 2021 21:05:14 UTC 2021 年 12 月 30 日 (木) 6 時 5 分 14 秒 (日本時間)
composite number 合成数	47465666705401768507218929683911197351509512372203218940328924172505190463289876139469998470816723446436261<107>
prime factors 素因数	3201494322366638997073920976987949377487<40> 14826097417631447862208104805760637438880458099939846821850772707403<68>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1727482138 Step 1 took 3531ms ********** Factor found in step 1: 3201494322366638997073920976987949377487 Found prime factor of 40 digits: 3201494322366638997073920976987949377487 Prime cofactor 14826097417631447862208104805760637438880458099939846821850772707403 has 68 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
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁵⁹-379

c146

name 名前	ebina
date 日付	December 30, 2021 00:44:07 UTC 2021 年 12 月 30 日 (木) 9 時 44 分 7 秒 (日本時間)
composite number 合成数	21204574166614493105666075349407441034508758435667834797068282189237161684728427656749174608117779437661334129311840614245125909127588643197864891<146>
prime factors 素因数	1384841060655671334168055838617117629432430552743883<52> 15311919012983993078418428679800734888021084069511437282541931636746972748041074487291493287377<95>
factorization results 素因数分解の結果	N=21204574166614493105666075349407441034508758435667834797068282189237161684728427656749174608117779437661334129311840614245125909127588643197864891 ( 146 digits) SNFS difficulty: 160 digits. Divisors found: r1=1384841060655671334168055838617117629432430552743883 (pp52) r2=15311919012983993078418428679800734888021084069511437282541931636746972748041074487291493287377 (pp95) Version: Msieve v. 1.50 (SVN Official Release) Total time: 43.48 hours. Scaled time: 37.87 units (timescale=0.871). Factorization parameters were as follows: n: 21204574166614493105666075349407441034508758435667834797068282189237161684728427656749174608117779437661334129311840614245125909127588643197864891 m: 100000000000000000000000000000000 c5: 1 c0: -370 type: snfs Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved rational special-q in [1600000, 2700001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 671901 x 672126 Total sieving time: 41.09 hours. Total relation processing time: 0.18 hours. Matrix solve time: 2.08 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,53,53,2.5,2.5,100000 total time: 43.48 hours. --------- CPU info (if available) ----------
execution environment 実行環境	pentium Dual E2140 1.6GHz WIN XP 32bit

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁶²-379

c126

name 名前	Bob Backstrom
date 日付	January 1, 2022 00:05:28 UTC 2022 年 1 月 1 日 (土) 9 時 5 分 28 秒 (日本時間)
composite number 合成数	696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169<126>
prime factors 素因数	181372669287646102586237926983882836661808882863799073456057<60> 3842575662272739218845714854340841139523362013183757015544683052617<67>
factorization results 素因数分解の結果	CADO STA:Sat 01 Jan 2022 07:31:36 AEDT (696,938,204,806,151,231,208,507,890,037,730,739,114,497,854,060,342,220,707,662,652,845,437,859,769,140,952,129,614,046,288,383,492,240,092,428,361,636,342,968,351,169 - C126) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169 2>&1 \| tee -a log141 Debug:root: Looking for parameter file for c126 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.x7nq805n Info:Database: Opened connection to database /tmp/cado.x7nq805n/c125.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6969382048061512312085078900377307391144978540603422207076626528454378597691409521296 14046288383492240092428361636342968351169 Debug:root: Root parameter dictionary: N = 696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169 lim0 = 2377918 lim1 = 9209388 lpb0 = 27 lpb1 = 27 name = c125 ... n: 696938204806151231208507890037730739114497854060342220707662652845437859769140952129614046288383492240092428361636342968351169 skew: 18340.573 c0: 61745228424873490883590288 c1: -53156987845112373676234 c2: 9407252668820703005 c3: 542806567125403 c4: -18612477202 c5: -157800 Y0: -1546047009274273593926289 Y1: 114515645708191 # MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.24e-10 # f(x) = -157800x^5-18612477202x^4+542806567125403x^3+9407252668820703005x^2-53156987845112373676234x+61745228424873490883590288 # g(x) = 114515645708191x-1546047009274273593926289 ... Info:Square Root: finished Info:Square Root: Factors: 3842575662272739218845714854340841139523362013183757015544683052617 181372669287646102586237926983882836661808882863799073456057 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 691.85/97.1152 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21528.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22042/36.530/44.822/48.340/0.863 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22042/36.160/40.617/45.640/1.377 Info:Polynomial Selection (size optimized): Total time: 1765.79 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1083.08 Info:Polynomial Selection (root optimized): Rootsieve time: 1082.21 Info:Generate Factor Base: Total cpu/real time for makefb: 11.77/1.09842 Info:Generate Free Relations: Total cpu/real time for freerel: 149.21/9.87517 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13061443 Info:Lattice Sieving: Average J: 3774.82 for 233837 special-q, max bucket fill: 0.734691 Info:Lattice Sieving: Total CPU time: 159974s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.32/39.927 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.79/55.1664 Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.25/49.0388 Info:Filtering - Merging: Total cpu/real time for merge: 270.76/216.925 Info:Filtering - Merging: Total cpu/real time for replay: 23.79/18.6706 Info:Linear Algebra: Total cpu/real time for bwc: 12057/0.000346422 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 500.99 Info:Linear Algebra: Lingen CPU time 156.94, WCT time 15.67 Info:Linear Algebra: Mksol: WCT time 271.69 Info:Quadratic Characters: Total cpu/real time for characters: 27.04/6.32495 Info:Square Root: Total cpu/real time for sqrt: 691.85/97.1152 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 176398/12012.8 Info:root: Cleaning up computation data in /tmp/cado.x7nq805n 3842575662272739218845714854340841139523362013183757015544683052617 181372669287646102586237926983882836661808882863799073456057 END:Sat 01 Jan 2022 10:51:49 AEDT (696,938,204,806,151,231,208,507,890,037,730,739,114,497,854,060,342,220,707,662,652,845,437,859,769,140,952,129,614,046,288,383,492,240,092,428,361,636,342,968,351,169 - C126)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁶⁴-379

c125

name 名前	Bob Backstrom
date 日付	December 31, 2021 16:29:32 UTC 2022 年 1 月 1 日 (土) 1 時 29 分 32 秒 (日本時間)
composite number 合成数	14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421<125>
prime factors 素因数	135457853708423224679121633596224147521451<42> 107341186529230606678764428421065005950001604653928067514991534150515694085295826471<84>
factorization results 素因数分解の結果	CADO STA:Sat 01 Jan 2022 00:25:07 AEDT (14,540,206,741,765,089,224,513,528,737,423,973,671,582,326,883,473,155,488,589,160,456,143,434,595,582,482,445,478,394,999,537,345,255,509,155,719,803,589,246,129,421 - C125) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421 2>&1 \| tee -a log139 Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.9pjjdqki Info:Database: Opened connection to database /tmp/cado.9pjjdqki/c125.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1454020674176508922451352873742397367158232688347315548858916045614343459558248244547 8394999537345255509155719803589246129421 Debug:root: Root parameter dictionary: N = 14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421 lim0 = 2377918 lim1 = 9209388 lpb0 = 27 lpb1 = 27 name = c125 ... n: 14540206741765089224513528737423973671582326883473155488589160456143434595582482445478394999537345255509155719803589246129421 skew: 294190.617 c0: -1070096732243132554085702352216 c1: 20536250214671551213902196 c2: 31307338110023538504 c3: -976233104057024 c4: -333497635 c5: 300 Y0: -2174429357644474772876705 Y1: 5700149406998369 # MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.92e-10 # f(x) = 300x^5-333497635x^4-976233104057024x^3+31307338110023538504x^2+20536250214671551213902196x-1070096732243132554085702352216 # g(x) = 5700149406998369x-2174429357644474772876705 ... Info:Square Root: finished Info:Square Root: Factors: 107341186529230606678764428421065005950001604653928067514991534150515694085295826471 135457853708423224679121633596224147521451 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 503.01/71.5518 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21528.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21652/37.320/44.206/48.140/0.847 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21652/36.010/39.954/45.070/1.294 Info:Polynomial Selection (size optimized): Total time: 1761.91 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1112.92 Info:Polynomial Selection (root optimized): Rootsieve time: 1111.96 Info:Generate Factor Base: Total cpu/real time for makefb: 11.55/1.06986 Info:Generate Free Relations: Total cpu/real time for freerel: 148.21/9.83669 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13063987 Info:Lattice Sieving: Average J: 3843.91 for 188280 special-q, max bucket fill: 0.714115 Info:Lattice Sieving: Total CPU time: 134926s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.13/39.9985 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.92/56.734 Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.54/54.4735 Info:Filtering - Merging: Total cpu/real time for merge: 235.23/193.967 Info:Filtering - Merging: Total cpu/real time for replay: 21.56/16.0946 Info:Linear Algebra: Total cpu/real time for bwc: 9172.24/0.000304461 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 375.7 Info:Linear Algebra: Lingen CPU time 139.92, WCT time 13.98 Info:Linear Algebra: Mksol: WCT time 214.29 Info:Quadratic Characters: Total cpu/real time for characters: 23.26/5.5109 Info:Square Root: Total cpu/real time for sqrt: 503.01/71.5518 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 148281/10093.3 Info:root: Cleaning up computation data in /tmp/cado.9pjjdqki 107341186529230606678764428421065005950001604653928067514991534150515694085295826471 135457853708423224679121633596224147521451 END:Sat 01 Jan 2022 03:13:21 AEDT (14,540,206,741,765,089,224,513,528,737,423,973,671,582,326,883,473,155,488,589,160,456,143,434,595,582,482,445,478,394,999,537,345,255,509,155,719,803,589,246,129,421 - C125)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁶⁸-379

c108

name 名前	Ignacio Santos
date 日付	December 28, 2021 21:29:40 UTC 2021 年 12 月 29 日 (水) 6 時 29 分 40 秒 (日本時間)
composite number 合成数	141657596040865160551108475118734940188869916785673400125044560371768502333610049869686467305574731281833149<108>
prime factors 素因数	42403150155078267126876262427120146048979552579<47> 3340732835244317969951841474944433928344252230601575359160831<61>
factorization results 素因数分解の結果	prp47 = 42403150155078267126876262427120146048979552579 prp61 = 3340732835244317969951841474944433928344252230601575359160831
software ソフトウェア	Yafu

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁷³-379

c169

name 名前	ebina
date 日付	December 30, 2021 01:27:17 UTC 2021 年 12 月 30 日 (木) 10 時 27 分 17 秒 (日本時間)
composite number 合成数	3515062040845020914619143027874441983901015852929804211044324932335055713733347393581496713416991809905444831101268937396745052550177510633062673556188266722907659320187<169>
prime factors 素因数	302484835078544991208766153349154384972914294327811415337151496898543847391009<78> 11620622369158702560388461875004920009015542587390667519576876074549764710111236969783145243<92>
factorization results 素因数分解の結果	02/06/17 14:49:31 v1.34.5 nfs: input divides 10^173 - 37 02/06/17 14:49:31 v1.34.5 nfs: using supplied cofactor: 3515062040845020914619143027874441983901015852929804211044324932335055713733347393581496713416991809905444831101268937396745052550177510633062673556188266722907659320187 02/06/17 14:49:31 v1.34.5 nfs: commencing snfs on c169: 3515062040845020914619143027874441983901015852929804211044324932335055713733347393581496713416991809905444831101268937396745052550177510633062673556188266722907659320187 02/06/17 14:49:33 v1.34.5 test: fb generation took 1.2012 seconds 02/06/17 14:49:33 v1.34.5 test: commencing test sieving of polynomial 0 on the rational side over range 8200000-8202000 skew: 0.5172 c5: 1000 c0: -37 Y1: -1 Y0: 10000000000000000000000000000000000 m: 10000000000000000000000000000000000 rlim: 8200000 alim: 8200000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.50 alambda: 2.50 02/06/17 14:50:38 v1.34.5 nfs: parsing special-q from .dat file 02/06/17 14:50:38 v1.34.5 test: new best estimated total sieving time = 5h 45m 52s (with 6 threads) 02/06/17 14:50:39 v1.34.5 test: fb generation took 1.1856 seconds 02/06/17 14:50:39 v1.34.5 test: commencing test sieving of polynomial 1 on the rational side over range 7800000-7802000 skew: 1.0344 c5: 125 c0: -148 Y1: -1 Y0: 20000000000000000000000000000000000 m: 20000000000000000000000000000000000 rlim: 7800000 alim: 7800000 mfbr: 54 mfba: 54 lpbr: 27 lpba: 27 rlambda: 2.50 alambda: 2.50 02/06/17 14:51:45 v1.34.5 nfs: parsing special-q from .dat file 02/06/17 14:51:45 v1.34.5 test: new best estimated total sieving time = 4h 55m 37s (with 6 threads) 02/06/17 14:51:46 v1.34.5 test: fb generation took 1.7472 seconds 02/06/17 14:51:46 v1.34.5 test: commencing test sieving of polynomial 2 on the algebraic side over range 7800000-7802000 skew: 2.6794 c6: 1 c0: -370 Y1: -1 Y0: 100000000000000000000000000000 m: 100000000000000000000000000000 rlim: 7800000 alim: 7800000 mfbr: 54 mfba: 54 lpbr: 27 lpba: 27 rlambda: 2.50 alambda: 2.50 02/06/17 14:52:42 v1.34.5 nfs: parsing special-q from .dat file 02/06/17 14:52:42 v1.34.5 test: estimated total sieving time = 5h 52m 18s (with 6 threads) 02/06/17 14:52:42 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 14:59:13 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:05:30 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:12:03 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:18:26 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:24:54 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:31:21 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:37:53 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:44:22 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:50:51 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 15:57:30 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:03:53 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:10:21 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:16:52 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:23:46 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:30:34 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:37:23 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:44:16 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:51:16 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 16:58:12 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:05:11 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:12:06 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:18:54 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:25:51 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:32:46 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:39:43 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:46:37 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 17:53:39 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:00:35 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:07:26 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:14:20 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:21:21 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:28:21 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:35:28 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:42:26 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:49:16 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 18:56:26 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:03:25 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:10:32 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:17:25 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:24:35 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:31:29 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:38:34 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:45:37 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:52:38 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 19:59:38 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:06:42 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:13:50 v1.34.5 nfs: commencing msieve filtering 02/06/17 20:16:37 v1.34.5 nfs: raising min_rels by 5.00 percent to 10721699 02/06/17 20:16:37 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:23:47 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:30:47 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:37:52 v1.34.5 nfs: commencing msieve filtering 02/06/17 20:40:46 v1.34.5 nfs: raising min_rels by 5.00 percent to 11374854 02/06/17 20:40:46 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:47:03 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 20:54:10 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 21:01:28 v1.34.5 nfs: commencing msieve filtering 02/06/17 21:04:28 v1.34.5 nfs: raising min_rels by 5.00 percent to 12028541 02/06/17 21:04:28 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 21:11:37 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 21:18:48 v1.34.5 nfs: commencing lattice sieving with 6 threads 02/06/17 21:26:00 v1.34.5 nfs: commencing msieve filtering 02/06/17 21:29:59 v1.34.5 nfs: commencing msieve linear algebra 02/06/17 22:12:02 v1.34.5 nfs: commencing msieve sqrt 02/06/17 22:14:09 v1.34.5 prp92 = 11620622369158702560388461875004920009015542587390667519576876074549764710111236969783145243 02/06/17 22:14:10 v1.34.5 prp78 = 302484835078544991208766153349154384972914294327811415337151496898543847391009 02/06/17 22:14:10 v1.34.5 NFS elapsed time = 26678.3601 seconds.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁷⁴-379

c122

name 名前	ebina
date 日付	December 30, 2021 01:17:39 UTC 2021 年 12 月 30 日 (木) 10 時 17 分 39 秒 (日本時間)
composite number 合成数	25677519511492640203313566695989489099379591814861698023283992400305390770194670238026108604715749526542873426614189111771<122>
prime factors 素因数	22535619381863698104787196616842078880240471951390962620667<59> 1139419293359094114489000399098944536943815391103528233668529313<64>
factorization results 素因数分解の結果	02/16/17 14:04:11 v1.34.5 nfs: input divides 10^174 - 37 02/16/17 14:04:11 v1.34.5 nfs: using supplied cofactor: 25677519511492640203313566695989489099379591814861698023283992400305390770194670238026108604715749526542873426614189111771 02/16/17 14:04:11 v1.34.5 nfs: commencing snfs on c122: 25677519511492640203313566695989489099379591814861698023283992400305390770194670238026108604715749526542873426614189111771 02/16/17 14:04:12 v1.34.5 nfs: input snfs form is better done by gnfs: difficulty = 174.70, size = 127 02/16/17 14:04:12 v1.34.5 nfs: commencing poly selection with 1 threads 02/16/17 14:04:12 v1.34.5 nfs: setting deadline of 18635 seconds 02/16/17 19:14:08 v1.34.5 nfs: completed 41 ranges of size 250 in 18596.6202 seconds 02/16/17 19:14:08 v1.34.5 nfs: best poly = # norm 1.411725e-011 alpha -6.981864 e 2.411e-010 rroots 5 02/16/17 19:14:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/16/17 20:03:15 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/16/17 20:51:40 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/16/17 21:41:56 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/16/17 22:30:52 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/16/17 23:19:35 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 00:09:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 00:56:56 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 01:46:09 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 02:34:52 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 03:23:58 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 04:13:44 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 05:03:07 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 05:53:27 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 06:42:51 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 07:32:00 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 08:20:38 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 09:10:01 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 10:00:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 10:49:56 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 11:39:09 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 12:28:44 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 13:18:20 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 14:07:29 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 14:56:49 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 15:46:01 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 16:33:22 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 17:22:45 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 18:13:34 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 19:02:21 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 19:51:58 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 20:41:45 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 21:31:04 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 22:21:32 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 23:10:48 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/17/17 23:58:27 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 00:46:07 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 01:35:50 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 02:23:56 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 03:13:05 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 03:59:56 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 04:49:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 05:38:26 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 06:29:34 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 07:19:11 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 08:08:57 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 08:59:58 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 09:50:22 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 10:41:10 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 11:31:45 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 12:20:49 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 13:12:08 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 14:03:09 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 14:55:21 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 15:46:25 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 16:37:41 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 17:29:44 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 18:21:01 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 19:12:09 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 20:03:20 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 20:54:31 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 21:45:49 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 22:37:38 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/18/17 23:28:17 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/19/17 00:19:07 v1.34.5 nfs: commencing lattice sieving with 1 threads 02/19/17 01:08:55 v1.34.5 nfs: commencing msieve filtering 02/19/17 01:13:41 v1.34.5 nfs: commencing msieve linear algebra 02/19/17 02:59:33 v1.34.5 nfs: commencing msieve sqrt 02/19/17 03:04:03 v1.34.5 prp59 = 22535619381863698104787196616842078880240471951390962620667 02/19/17 03:04:03 v1.34.5 prp64 = 1139419293359094114489000399098944536943815391103528233668529313 02/19/17 03:04:03 v1.34.5 NFS elapsed time = 219591.6016 seconds.
execution environment 実行環境	core i7 920 window 8 64bit

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁷⁵-379

c174

name 名前	Bob Backstrom
date 日付	January 3, 2022 13:03:34 UTC 2022 年 1 月 3 日 (月) 22 時 3 分 34 秒 (日本時間)
composite number 合成数	123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123<174>
prime factors 素因数	10981574711924297840571690581450432809060095539902620588667549<62> 11242175495050062460031652272410740426860143478065189051608750875790265532247210524135751012821734060784540418727<113>
factorization results 素因数分解の結果	Number: n N=123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123 ( 174 digits) SNFS difficulty: 175 digits. Divisors found: Mon Jan 3 23:58:14 2022 p62 factor: 10981574711924297840571690581450432809060095539902620588667549 Mon Jan 3 23:58:14 2022 p113 factor: 11242175495050062460031652272410740426860143478065189051608750875790265532247210524135751012821734060784540418727 Mon Jan 3 23:58:14 2022 elapsed time 00:13:39 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.291). Factorization parameters were as follows: # # N = 10^175-37 = 5(173)35 # n: 123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123 m: 100000000000000000000000000000000000 deg: 5 c5: 1 c0: -37 skew: 2.06 # Murphy_E = 2.096e-10 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved special-q in [100000, 15700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4308174 hash collisions in 30812206 relations (28116396 unique) Msieve: matrix is 643429 x 643654 (216.8 MB) Sieving start time : 2022/01/03 22:22:03 Sieving end time : 2022/01/03 23:25:04 Total sieving time: 1hrs 3min 1secs. Total relation processing time: 0hrs 6min 15sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 27sec. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved) [ 0.153541] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280) [ 0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁷⁸-379

c147

name 名前	Ignacio Santos
date 日付	January 15, 2022 23:18:22 UTC 2022 年 1 月 16 日 (日) 8 時 18 分 22 秒 (日本時間)
composite number 合成数	493070698878536842225742894054335691682394511823877405246205793633674592668697282358043538722049744760967677403938223783177619595362942941438543537<147>
prime factors 素因数	277250096578482219986890251253624566723247<42> 1778432920181008768565638110801140795006151944711255941800362766052616461332939555984485706110384388519071<106>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2413951684 Step 1 took 21656ms Step 2 took 10797ms ********** Factor found in step 2: 277250096578482219986890251253624566723247 Found prime factor of 42 digits: 277250096578482219986890251253624566723247 Prime cofactor 1778432920181008768565638110801140795006151944711255941800362766052616461332939555984485706110384388519071 has 106 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
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 2, 2022 23:10:20 UTC 2022 年 1 月 3 日 (月) 8 時 10 分 20 秒 (日本時間)

5×10¹⁸⁵-379

c179

name 名前	Bob Backstrom
date 日付	January 11, 2022 03:21:41 UTC 2022 年 1 月 11 日 (火) 12 時 21 分 41 秒 (日本時間)
composite number 合成数	87338456607197911562825608683538709714045159222373317752152674609225910525244744190027520347676928061933446349296183047430895629670969832423703307769367084406504618894277671661553<179>
prime factors 素因数	6510647043833503407030413777677020728917<40> 13414712242759295161525949888562516233226022313221757686701047070730980756467009628073739929655677972050498673739724286324259046599908228909<140>
factorization results 素因数分解の結果	Number: n N=87338456607197911562825608683538709714045159222373317752152674609225910525244744190027520347676928061933446349296183047430895629670969832423703307769367084406504618894277671661553 ( 179 digits) SNFS difficulty: 185 digits. Divisors found: Tue Jan 11 14:16:39 2022 p40 factor: 6510647043833503407030413777677020728917 Tue Jan 11 14:16:39 2022 p140 factor: 13414712242759295161525949888562516233226022313221757686701047070730980756467009628073739929655677972050498673739724286324259046599908228909 Tue Jan 11 14:16:39 2022 elapsed time 00:20:04 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.284). Factorization parameters were as follows: # # N = 10^185-37 = 5(183)35 # n: 87338456607197911562825608683538709714045159222373317752152674609225910525244744190027520347676928061933446349296183047430895629670969832423703307769367084406504618894277671661553 m: 10000000000000000000000000000000000000 deg: 5 c5: 1 c0: -37 skew: 2.06 # Murphy_E = 8.26e-11 type: snfs lss: 1 rlim: 8500000 alim: 8500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 8500000/8500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3133681 hash collisions in 30796272 relations (29622356 unique) Msieve: matrix is 866202 x 866427 (299.4 MB) Sieving start time : 2022/01/11 09:57:05 Sieving end time : 2022/01/11 13:55:18 Total sieving time: 3hrs 58min 13secs. Total relation processing time: 0hrs 11min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 47sec. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved) [ 0.153509] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736) [ 0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 5, 2022 22:49:31 UTC 2022 年 1 月 6 日 (木) 7 時 49 分 31 秒 (日本時間)

5×10¹⁸⁶-379

c136

name 名前	Eric Jeancolas
date 日付	January 16, 2022 21:27:43 UTC 2022 年 1 月 17 日 (月) 6 時 27 分 43 秒 (日本時間)
composite number 合成数	1089858464302529850195451485778940092331907174608962402104146635634278101770953019005605076491388467354389246827478089836037609506159139<136>
prime factors 素因数	6853620830343783182815774866760075484506730137441054047877609<61> 159019369656004396316414260097592230270448910789627828481578383779488432171<75>
factorization results 素因数分解の結果	1089858464302529850195451485778940092331907174608962402104146635634278101770953019005605076491388467354389246827478089836037609506159139=6853620830343783182815774866760075484506730137441054047877609159019369656004396316414260097592230270448910789627828481578383779488432171 cado polynomial n: 1089858464302529850195451485778940092331907174608962402104146635634278101770953019005605076491388467354389246827478089836037609506159139 skew: 1.30 type: snfs c0: -37 c5: 10 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 10x^5-37 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8800000 tasks.lim1 = 8800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 159019369656004396316414260097592230270448910789627828481578383779488432171 6853620830343783182815774866760075484506730137441054047877609 Info:Square Root: Total cpu/real time for sqrt: 1130.26/347.782 Info:Filtering - Singleton removal: Total cpu/real time for purge: 243.93/285.96 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23625558 Info:Lattice Sieving: Average J: 1894.19 for 1414578 special-q, max bucket fill -bkmult 1.0,1s:1.151300 Info:Lattice Sieving: Total time: 253322s Info:Linear Algebra: Total cpu/real time for bwc: 47586.3/12218.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 30438.72, WCT time 7777.37, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52992 iterations) Info:Linear Algebra: Lingen CPU time 330.07, WCT time 83.82 Info:Linear Algebra: Mksol: CPU time 16506.47, WCT time 4237.52, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26624 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 118.74/32.5827 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.22/111.052 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.7s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.31/345.611 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.7s Info:Filtering - Merging: Merged matrix has 1693771 rows and total weight 289851592 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 442.64/123.152 Info:Filtering - Merging: Total cpu/real time for replay: 65.64/55.9451 Info:Generate Factor Base: Total cpu/real time for makefb: 3.75/2.03481 Info:Quadratic Characters: Total cpu/real time for characters: 61.7/25.0055 Info:Square Root: Total cpu/real time for sqrt: 1130.26/347.782 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 523072/140126 Info:root: Cleaning up computation data in /tmp/cado.kgt3ze4c 159019369656004396316414260097592230270448910789627828481578383779488432171 6853620830343783182815774866760075484506730137441054047877609
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 6, 2022 11:21:04 UTC 2022 年 1 月 6 日 (木) 20 時 21 分 4 秒 (日本時間)

5×10¹⁸⁷-379

c166

name 名前	Eric Jeancolas
date 日付	January 17, 2022 02:20:02 UTC 2022 年 1 月 17 日 (月) 11 時 20 分 2 秒 (日本時間)
composite number 合成数	6091322386237360614136192138921339943138667099704878592678156235887931476079066094431833213686813056148780765713568340577128848536460279029073876749449057254017899281<166>
prime factors 素因数	744656671019949439160521238352608604714557627946046289343943<60> 8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767<106>
factorization results 素因数分解の結果	6091322386237360614136192138921339943138667099704878592678156235887931476079066094431833213686813056148780765713568340577128848536460279029073876749449057254017899281=7446566710199494391605212383526086047145576279460462893439438180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767 cado polynomial n: 6091322386237360614136192138921339943138667099704878592678156235887931476079066094431833213686813056148780765713568340577128848536460279029073876749449057254017899281 skew: 0.82 type: snfs c0: -37 c5: 100 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 100x^5-37 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 9200000 tasks.lim1 = 9200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 744656671019949439160521238352608604714557627946046289343943 8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767 Info:Square Root: Total cpu/real time for sqrt: 464.85/154.699 Info:Filtering - Singleton removal: Total cpu/real time for purge: 278.74/329.726 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24258295 Info:Lattice Sieving: Average J: 1894.16 for 1652510 special-q, max bucket fill -bkmult 1.0,1s:1.161910 Info:Lattice Sieving: Total time: 362630s Info:Linear Algebra: Total cpu/real time for bwc: 52381.4/13447.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 33535.91, WCT time 8567.72, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55808 iterations) Info:Linear Algebra: Lingen CPU time 349.41, WCT time 88.78 Info:Linear Algebra: Mksol: CPU time 18165.5, WCT time 4660.33, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 118.63/32.3108 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.08/117.593 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.9s Info:Filtering - Merging: Merged matrix has 1781371 rows and total weight 304623128 (171.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 465.13/129.081 Info:Filtering - Merging: Total cpu/real time for replay: 73.97/63.7706 Info:Generate Factor Base: Total cpu/real time for makefb: 3.9/2.12762 Info:Quadratic Characters: Total cpu/real time for characters: 63.46/27.0996 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 391.67/386.316 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 312.3s Info:Square Root: Total cpu/real time for sqrt: 464.85/154.699 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 745871/105790 Info:root: Cleaning up computation data in /tmp/cado.s0g103fm 744656671019949439160521238352608604714557627946046289343943 8180041384567376522172080758510915854902537028300908215272801748213431901636337097407900970044403783665767
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 6, 2022 14:32:34 UTC 2022 年 1 月 6 日 (木) 23 時 32 分 34 秒 (日本時間)

5×10¹⁸⁸-379

c180

name 名前	Bob Backstrom
date 日付	January 10, 2022 16:00:36 UTC 2022 年 1 月 11 日 (火) 1 時 0 分 36 秒 (日本時間)
composite number 合成数	170756339918655743663642467725339923066379923741345584171808007725453954150177602046964164611754989726077682663252072628074097999314047876659171265899035297201827981453122553141691<180>
prime factors 素因数	4228851471330822139290798742400213891741652986442079529<55> 40378892726851581586217349922378700421784747563093400196307822300148211742718344633264811628156432710531407942002704967514179<125>
factorization results 素因数分解の結果	Number: n N=170756339918655743663642467725339923066379923741345584171808007725453954150177602046964164611754989726077682663252072628074097999314047876659171265899035297201827981453122553141691 ( 180 digits) SNFS difficulty: 188 digits. Divisors found: Tue Jan 11 02:55:37 2022 p55 factor: 4228851471330822139290798742400213891741652986442079529 Tue Jan 11 02:55:37 2022 p125 factor: 40378892726851581586217349922378700421784747563093400196307822300148211742718344633264811628156432710531407942002704967514179 Tue Jan 11 02:55:37 2022 elapsed time 00:32:13 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.321). Factorization parameters were as follows: # # N = 10^188-37 = 5(186)35 # n: 170756339918655743663642467725339923066379923741345584171808007725453954150177602046964164611754989726077682663252072628074097999314047876659171265899035297201827981453122553141691 m: 10000000000000000000000000000000000000 deg: 5 c5: 1000 c0: -37 skew: 0.52 # Murphy_E = 4.27e-11 type: snfs lss: 1 rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3644222 hash collisions in 30616688 relations (28759103 unique) Msieve: matrix is 1075917 x 1076143 (371.5 MB) Sieving start time : 2022/01/10 22:35:34 Sieving end time : 2022/01/11 02:22:24 Total sieving time: 3hrs 46min 50secs. Total relation processing time: 0hrs 19min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 25sec. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved) [ 0.153509] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736) [ 0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 6, 2022 14:33:20 UTC 2022 年 1 月 6 日 (木) 23 時 33 分 20 秒 (日本時間)

5×10¹⁸⁹-379

c138

name 名前	Eric Jeancolas
date 日付	January 18, 2022 03:26:42 UTC 2022 年 1 月 18 日 (火) 12 時 26 分 42 秒 (日本時間)
composite number 合成数	110040660171770459903005564642352539761871926496344858884209177911840719746741165942088159238663633145598586168381012871490136631867497103<138>
prime factors 素因数	516470510287905231410277029906047794684716386618270241<54> 213062813809889283297403799525441285325765043341199609872766446380380214789068523183<84>
factorization results 素因数分解の結果	110040660171770459903005564642352539761871926496344858884209177911840719746741165942088159238663633145598586168381012871490136631867497103=516470510287905231410277029906047794684716386618270241213062813809889283297403799525441285325765043341199609872766446380380214789068523183 cado polynomial n: 110040660171770459903005564642352539761871926496344858884209177911840719746741165942088159238663633145598586168381012871490136631867497103 skew: 1.63 type: snfs c0: -185 c5: 16 Y0: 50000000000000000000000000000000000000 Y1: -1 # f(x) = 16x^5-185 # g(x) = -x+50000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 10200000 tasks.lim1 = 10200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 213062813809889283297403799525441285325765043341199609872766446380380214789068523183 516470510287905231410277029906047794684716386618270241 Info:Square Root: Total cpu/real time for sqrt: 515.77/166.254 Info:Filtering - Singleton removal: Total cpu/real time for purge: 277.93/331.797 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24828528 Info:Lattice Sieving: Average J: 1894.09 for 1915931 special-q, max bucket fill -bkmult 1.0,1s:1.136440 Info:Lattice Sieving: Total time: 368602s Info:Linear Algebra: Total cpu/real time for bwc: 64867.7/16636.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 41575.05, WCT time 10610.24, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations) Info:Linear Algebra: Lingen CPU time 394.06, WCT time 100.13 Info:Linear Algebra: Mksol: CPU time 22523.77, WCT time 5771.1, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30976 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 117.87/32.161 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.92/120.626 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 402.05/398.374 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 322.40000000000003s Info:Filtering - Merging: Merged matrix has 1969560 rows and total weight 335913331 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 533.01/147.379 Info:Filtering - Merging: Total cpu/real time for replay: 76.53/65.7107 Info:Generate Factor Base: Total cpu/real time for makefb: 4.33/2.32241 Info:Quadratic Characters: Total cpu/real time for characters: 70.32/29.9523 Info:Square Root: Total cpu/real time for sqrt: 515.77/166.254 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 755220/202212 Info:root: Cleaning up computation data in /tmp/cado.kibdyj34 213062813809889283297403799525441285325765043341199609872766446380380214789068523183 516470510287905231410277029906047794684716386618270241
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 6, 2022 16:50:56 UTC 2022 年 1 月 7 日 (金) 1 時 50 分 56 秒 (日本時間)

5×10¹⁹⁰-379

c182

name 名前	ebina
date 日付	December 30, 2021 00:25:06 UTC 2021 年 12 月 30 日 (木) 9 時 25 分 6 秒 (日本時間)
composite number 合成数	21427420485290661876798233321180343256691028636669679340559478048435882621473391301748214168601953786912269988720798703327363204010301163830557932767152744914810822243555790605787311<182>
prime factors 素因数	314064698075231492911851797223507001736977420618584370961<57> 68226134986231110527992368039193447909765135994465681709399287167367521372725397319120064838999007071407112492530777022780351<125>
factorization results 素因数分解の結果	Sun Jan 29 07:39:04 2017 Msieve v. 1.53 (SVN unknown) Sun Jan 29 07:39:04 2017 random seeds: 9b7c4258 a11a1849 Sun Jan 29 07:39:04 2017 factoring 21427420485290661876798233321180343256691028636669679340559478048435882621473391301748214168601953786912269988720798703327363204010301163830557932767152744914810822243555790605787311 (182 digits) Sun Jan 29 07:39:05 2017 searching for 15-digit factors Sun Jan 29 07:39:07 2017 commencing number field sieve (182-digit input) Sun Jan 29 07:39:07 2017 R0: -100000000000000000000000000000000000000 Sun Jan 29 07:39:07 2017 R1: 1 Sun Jan 29 07:39:07 2017 A0: -37 Sun Jan 29 07:39:07 2017 A1: 0 Sun Jan 29 07:39:07 2017 A2: 0 Sun Jan 29 07:39:07 2017 A3: 0 Sun Jan 29 07:39:07 2017 A4: 0 Sun Jan 29 07:39:07 2017 A5: 1 Sun Jan 29 07:39:07 2017 skew 2.06, size 4.940e-13, alpha 0.433, combined = 5.152e-11 rroots = 1 Sun Jan 29 07:39:07 2017 Sun Jan 29 07:39:07 2017 commencing square root phase Sun Jan 29 07:39:07 2017 reading relations for dependency 1 Sun Jan 29 07:39:07 2017 read 1021517 cycles Sun Jan 29 07:39:08 2017 cycles contain 3508216 unique relations Sun Jan 29 07:39:42 2017 read 3508216 relations Sun Jan 29 07:39:55 2017 multiplying 3508216 relations Sun Jan 29 07:41:11 2017 multiply complete, coefficients have about 80.73 million bits Sun Jan 29 07:41:12 2017 initial square root is modulo 623171 Sun Jan 29 07:42:56 2017 GCD is 1, no factor found Sun Jan 29 07:42:56 2017 reading relations for dependency 2 Sun Jan 29 07:42:57 2017 read 1021441 cycles Sun Jan 29 07:42:58 2017 cycles contain 3505522 unique relations Sun Jan 29 07:43:35 2017 read 3505522 relations Sun Jan 29 07:43:50 2017 multiplying 3505522 relations Sun Jan 29 07:45:17 2017 multiply complete, coefficients have about 80.67 million bits Sun Jan 29 07:45:18 2017 initial square root is modulo 616991 Sun Jan 29 07:47:07 2017 sqrtTime: 480 Sun Jan 29 07:47:07 2017 p57 factor: 314064698075231492911851797223507001736977420618584370961 Sun Jan 29 07:47:07 2017 p125 factor: 68226134986231110527992368039193447909765135994465681709399287167367521372725397319120064838999007071407112492530777022780351 Sun Jan 29 07:47:07 2017 elapsed time 00:08:03

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10¹⁹¹-379

c119

name 名前	ebina
date 日付	December 30, 2021 01:33:49 UTC 2021 年 12 月 30 日 (木) 10 時 33 分 49 秒 (日本時間)
composite number 合成数	61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903<119>
prime factors 素因数	269372700704702747092064436396285631698438077759<48> 228900786994772016967231701128644290828365132812015587301702876773239017<72>
factorization results 素因数分解の結果	01/29/18 22:47:28 v1.34.5 nfs: input divides 10^191 - 37 01/29/18 22:47:28 v1.34.5 nfs: using supplied cofactor: 61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903 01/29/18 22:47:28 v1.34.5 nfs: commencing snfs on c119: 61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903 01/29/18 22:47:28 v1.34.5 nfs: input snfs form is better done by gnfs: difficulty = 192.00, size = 137 01/29/18 22:47:28 v1.34.5 nfs: commencing poly selection with 4 threads 01/29/18 22:47:28 v1.34.5 nfs: setting deadline of 3150 seconds 01/29/18 23:02:02 v1.34.5 nfs: commencing nfs on c119: 61659623186213637501660351799494662392024049700929240802930903440230424477321467106679265983244486606526234565738722903 01/29/18 23:02:02 v1.34.5 nfs: commencing poly selection with 4 threads 01/29/18 23:02:02 v1.34.5 nfs: setting deadline of 3150 seconds 01/29/18 23:52:48 v1.34.5 nfs: completed 47 ranges of size 250 in 3046.5613 seconds 01/29/18 23:52:49 v1.34.5 nfs: best poly = # norm 2.493344e-011 alpha -6.622706 e 3.297e-010 rroots 3 01/29/18 23:52:49 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:01:37 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:10:01 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:18:04 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:26:39 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:34:43 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:42:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:51:16 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 00:59:38 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:07:35 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:15:32 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:24:08 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:32:28 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:40:34 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:48:46 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 01:57:22 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:05:55 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:14:36 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:22:43 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:30:48 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:39:19 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:47:25 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 02:55:31 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:04:03 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:12:37 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:21:05 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:29:56 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:38:23 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:47:13 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 03:56:46 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:05:40 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:14:04 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:22:40 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:31:00 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:39:17 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:47:52 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 04:56:24 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/30/18 05:06:09 v1.34.5 nfs: commencing msieve filtering 01/30/18 05:10:08 v1.34.5 nfs: commencing msieve linear algebra 01/30/18 05:37:40 v1.34.5 nfs: commencing msieve sqrt 01/30/18 05:43:17 v1.34.5 prp72 = 228900786994772016967231701128644290828365132812015587301702876773239017 01/30/18 05:43:17 v1.34.5 prp48 = 269372700704702747092064436396285631698438077759 01/30/18 05:43:17 v1.34.5 NFS elapsed time = 24074.9000 seconds.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 29, 2021 22:13:09 UTC 2021 年 12 月 30 日 (木) 7 時 13 分 9 秒 (日本時間)

5×10¹⁹²-379

c145

name 名前	Eric Jeancolas
date 日付	January 19, 2022 18:56:45 UTC 2022 年 1 月 20 日 (木) 3 時 56 分 45 秒 (日本時間)
composite number 合成数	1171598817420250910870310536770029058391194624951689561274184278629239622571214665466380024404576931178700526138858823466328591594486058560888177<145>
prime factors 素因数	268865026558264363480219060818980049994057309579096254894647<60> 4357572393917733026611103043975051037041515002503516849842187878392887709955646019991<85>
factorization results 素因数分解の結果	1171598817420250910870310536770029058391194624951689561274184278629239622571214665466380024404576931178700526138858823466328591594486058560888177=2688650265582643634802190608189800499940573095790962548946474357572393917733026611103043975051037041515002503516849842187878392887709955646019991 cado polynomial n: 1171598817420250910870310536770029058391194624951689561274184278629239622571214665466380024404576931178700526138858823466328591594486058560888177 skew: 0.82 type: snfs c0: -37 c5: 100 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 100x^5-37 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11100000 tasks.lim1 = 11100000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 268865026558264363480219060818980049994057309579096254894647 4357572393917733026611103043975051037041515002503516849842187878392887709955646019991 Info:Square Root: Total cpu/real time for sqrt: 621.78/196.678 Info:Generate Free Relations: Total cpu/real time for freerel: 116.97/31.4731 Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.97/392.655 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26690693 Info:Lattice Sieving: Average J: 1893.74 for 2783808 special-q, max bucket fill -bkmult 1.0,1s:1.143890 Info:Lattice Sieving: Total time: 556697s Info:Linear Algebra: Total cpu/real time for bwc: 87026.8/22384.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 55740.9, WCT time 14318.75, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70656 iterations) Info:Linear Algebra: Lingen CPU time 495.09, WCT time 125.46 Info:Linear Algebra: Mksol: CPU time 30011.77, WCT time 7685.11, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 111.94/128.79 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.2s Info:Filtering - Merging: Merged matrix has 2245164 rows and total weight 384117838 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 614.79/169.703 Info:Filtering - Merging: Total cpu/real time for replay: 86.06/74.1309 Info:Generate Factor Base: Total cpu/real time for makefb: 4.74/2.39597 Info:Quadratic Characters: Total cpu/real time for characters: 77.64/32.9092 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 452.06/448.577 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 363.4s Info:Square Root: Total cpu/real time for sqrt: 621.78/196.678 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.12988e+06/302296 Info:root: Cleaning up computation data in /tmp/cado.0bmmm7li 268865026558264363480219060818980049994057309579096254894647 4357572393917733026611103043975051037041515002503516849842187878392887709955646019991
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 8, 2022 12:05:19 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 19 秒 (日本時間)

5×10¹⁹⁴-379

c156

name 名前	Eric Jeancolas
date 日付	January 20, 2022 07:00:01 UTC 2022 年 1 月 20 日 (木) 16 時 0 分 1 秒 (日本時間)
composite number 合成数	152928087008770529985858627656676155543032921899949984818431465336046655136312075560383815885001973483808815746276134376060116450068395565994296702948816463<156>
prime factors 素因数	25788532094945416782996229507381381581374901994702277<53> 5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619<103>
factorization results 素因数分解の結果	152928087008770529985858627656676155543032921899949984818431465336046655136312075560383815885001973483808815746276134376060116450068395565994296702948816463=257885320949454167829962295073813815813749019947022775930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619 cado polynomial n: 152928087008770529985858627656676155543032921899949984818431465336046655136312075560383815885001973483808815746276134376060116450068395565994296702948816463 skew: 1.63 type: snfs c0: -185 c5: 16 Y0: 500000000000000000000000000000000000000 Y1: -1 # f(x) = 16x^5-185 # g(x) = -x+500000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12300000 tasks.lim1 = 12300000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619 25788532094945416782996229507381381581374901994702277 Info:Square Root: Total cpu/real time for sqrt: 623.8/194.44 Info:Filtering - Singleton removal: Total cpu/real time for purge: 408.16/474.555 Info:Generate Free Relations: Total cpu/real time for freerel: 116.98/31.6264 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28423409 Info:Lattice Sieving: Average J: 1893.65 for 2923790 special-q, max bucket fill -bkmult 1.0,1s:1.153450 Info:Lattice Sieving: Total time: 625147s Info:Linear Algebra: Total cpu/real time for bwc: 101580/25985.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 65139.62, WCT time 16599.45, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations) Info:Linear Algebra: Lingen CPU time 514.44, WCT time 130.31 Info:Linear Algebra: Mksol: CPU time 35075.29, WCT time 8963.44, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.07/140.101 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 139.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 517.95/529.183 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 425.4s Info:Filtering - Merging: Merged matrix has 2410808 rows and total weight 411961097 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 665.77/183.864 Info:Filtering - Merging: Total cpu/real time for replay: 93.75/81.8752 Info:Generate Factor Base: Total cpu/real time for makefb: 5.18/2.5244 Info:Quadratic Characters: Total cpu/real time for characters: 83.71/35.9096 Info:Square Root: Total cpu/real time for sqrt: 623.8/194.44 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.27499e+06/340283 Info:root: Cleaning up computation data in /tmp/cado.4f8z2lds 5930081109143262110510169940853000044488175126312951302914391123314272852160356974393340797173851791619 25788532094945416782996229507381381581374901994702277
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 10, 2022 19:44:47 UTC 2022 年 1 月 11 日 (火) 4 時 44 分 47 秒 (日本時間)

5×10¹⁹⁸-379

c190

name 名前	Eric Jeancolas
date 日付	January 20, 2022 20:33:45 UTC 2022 年 1 月 21 日 (金) 5 時 33 分 45 秒 (日本時間)
composite number 合成数	2351677307618456884427023313016699220582884432822549257286335259881472312448437564292652892812718916905667043520603535216763939212725554279700065853314142047362597544605727412723264216337907<190>
prime factors 素因数	682797043412949450803397415117797773268164975013563430374587391951324747<72> 3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281<118>
factorization results 素因数分解の結果	2351677307618456884427023313016699220582884432822549257286335259881472312448437564292652892812718916905667043520603535216763939212725554279700065853314142047362597544605727412723264216337907=6827970434129494508033974151177977732681649750135634303745873919513247473444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281 cado polynomial n: 2351677307618456884427023313016699220582884432822549257286335259881472312448437564292652892812718916905667043520603535216763939212725554279700065853314142047362597544605727412723264216337907 skew: 0.52 type: snfs c0: -37 c5: 1000 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 1000x^5-37 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14000000 tasks.lim1 = 14000000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 682797043412949450803397415117797773268164975013563430374587391951324747 3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281 Info:Square Root: Total cpu/real time for sqrt: 1544.26/474.784 Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.95/487.918 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 30238662 Info:Lattice Sieving: Average J: 1893.46 for 4153201 special-q, max bucket fill -bkmult 1.0,1s:1.161450 Info:Lattice Sieving: Total time: 1.13247e+06s Info:Linear Algebra: Total cpu/real time for bwc: 148924/38195.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 95789.22, WCT time 24511.9, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (90112 iterations) Info:Linear Algebra: Lingen CPU time 633.24, WCT time 160.65 Info:Linear Algebra: Mksol: CPU time 51440.44, WCT time 13143.33, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 118.14/31.3644 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.67/155.4 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.70000000000002s Info:Filtering - Merging: Merged matrix has 2880057 rows and total weight 489688521 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 810.58/223.273 Info:Filtering - Merging: Total cpu/real time for replay: 113.48/98.1874 Info:Generate Factor Base: Total cpu/real time for makefb: 5.9/2.80009 Info:Quadratic Characters: Total cpu/real time for characters: 98.92/42.6718 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.56/550.677 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 443.3s Info:Square Root: Total cpu/real time for sqrt: 1544.26/474.784 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.31641e+06/351294 Info:root: Cleaning up computation data in /tmp/cado.l4uf6154 682797043412949450803397415117797773268164975013563430374587391951324747 3444182030817880689524089651568471982258347861749762066827062827232969602591885244510903495570985564047943693920972281
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 12, 2022 21:09:08 UTC 2022 年 1 月 13 日 (木) 6 時 9 分 8 秒 (日本時間)

5×10¹⁹⁹-379

c95

name 名前	Ignacio Santos
date 日付	December 28, 2021 20:01:04 UTC 2021 年 12 月 29 日 (水) 5 時 1 分 4 秒 (日本時間)
composite number 合成数	33440330976392865050603334795332103166211847321711908436603357512289271001933737256079839264489<95>
prime factors 素因数	772127244495643266102769327238927052630361523<45> 43309352460728449758174672311563799369131351053043<50>
factorization results 素因数分解の結果	prp50 = 43309352460728449758174672311563799369131351053043 prp45 = 772127244495643266102769327238927052630361523
software ソフトウェア	Yafu

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10²⁰¹-379

c158

name 名前	Ray Chandler
date 日付	February 11, 2022 03:54:55 UTC 2022 年 2 月 11 日 (金) 12 時 54 分 55 秒 (日本時間)
composite number 合成数	26027308579855252385768772410078435180124615025872420057082518744105659940280494021962576370059315847852244600073432796922985494565061156679954027500291132991<158>
prime factors 素因数	3635874683562616058195882198478586430772451959645496153<55> 7158472402121506468924457782703730478302034447090441642540798610776022917535073343166414306555616674647<103>
factorization results 素因数分解の結果	02/10/22 08:12:27, nfs: commencing nfs on c201: 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555535 02/10/22 08:12:27, nfs: input divides 10^202 - 370 02/10/22 08:12:27, nfs: using supplied cofactor: 26027308579855252385768772410078435180124615025872420057082518744105659940280494021962576370059315847852244600073432796922985494565061156679954027500291132991 02/10/22 08:12:27, nfs: commencing snfs on c158: 26027308579855252385768772410078435180124615025872420057082518744105659940280494021962576370059315847852244600073432796922985494565061156679954027500291132991 02/10/22 08:12:30, test: fb generation took 2.1815 seconds 02/10/22 08:12:30, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000 skew: 1.7148 c5: 10 c0: -37 Y1: -1 Y0: 10000000000000000000000000000000000000000 rlim: 19000000 alim: 19000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/10/22 08:13:54, nfs: parsing special-q from .dat file 02/10/22 08:13:54, test: new best estimated total sieving time = 6h 12m 55s (with 40 threads) 02/10/22 08:13:56, test: fb generation took 2.1674 seconds 02/10/22 08:13:56, test: commencing test sieving of polynomial 1 on the rational side over range 19000000-19001000 skew: 3.4816 c5: 5 c0: -592 Y1: -1 Y0: 20000000000000000000000000000000000000000 rlim: 19000000 alim: 19000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/10/22 08:15:21, nfs: parsing special-q from .dat file 02/10/22 08:15:21, test: estimated total sieving time = 6h 23m 30s (with 40 threads) 02/10/22 08:15:24, test: fb generation took 3.0967 seconds 02/10/22 08:15:24, test: commencing test sieving of polynomial 2 on the algebraic side over range 17000000-17001000 skew: 0.6812 c6: 1000 c0: -37 Y1: -1 Y0: 1000000000000000000000000000000000 rlim: 17000000 alim: 17000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 02/10/22 08:16:09, nfs: parsing special-q from .dat file 02/10/22 08:16:09, test: estimated total sieving time = 6h 15m 21s (with 40 threads) 02/10/22 08:16:10, nfs: commencing lattice sieving with 40 threads 02/10/22 08:20:09, nfs: commencing lattice sieving with 40 threads 02/10/22 08:24:14, nfs: commencing lattice sieving with 40 threads 02/10/22 08:28:14, nfs: commencing lattice sieving with 40 threads 02/10/22 08:32:11, nfs: commencing lattice sieving with 40 threads 02/10/22 08:36:05, nfs: commencing lattice sieving with 40 threads 02/10/22 08:40:04, nfs: commencing lattice sieving with 40 threads 02/10/22 08:44:01, nfs: commencing lattice sieving with 40 threads 02/10/22 08:48:04, nfs: commencing lattice sieving with 40 threads 02/10/22 08:52:10, nfs: commencing lattice sieving with 40 threads 02/10/22 08:56:10, nfs: commencing lattice sieving with 40 threads 02/10/22 09:00:12, nfs: commencing lattice sieving with 40 threads 02/10/22 09:04:09, nfs: commencing lattice sieving with 40 threads 02/10/22 09:08:06, nfs: commencing lattice sieving with 40 threads 02/10/22 09:12:07, nfs: commencing lattice sieving with 40 threads 02/10/22 09:16:08, nfs: commencing lattice sieving with 40 threads 02/10/22 09:20:08, nfs: commencing lattice sieving with 40 threads 02/10/22 09:24:10, nfs: commencing lattice sieving with 40 threads 02/10/22 09:28:09, nfs: commencing lattice sieving with 40 threads 02/10/22 09:32:12, nfs: commencing lattice sieving with 40 threads 02/10/22 09:36:14, nfs: commencing lattice sieving with 40 threads 02/10/22 09:40:15, nfs: commencing lattice sieving with 40 threads 02/10/22 09:44:15, nfs: commencing lattice sieving with 40 threads 02/10/22 09:48:21, nfs: commencing lattice sieving with 40 threads 02/10/22 09:52:25, nfs: commencing lattice sieving with 40 threads 02/10/22 09:56:29, nfs: commencing lattice sieving with 40 threads 02/10/22 10:00:33, nfs: commencing lattice sieving with 40 threads 02/10/22 10:04:37, nfs: commencing lattice sieving with 40 threads 02/10/22 10:08:34, nfs: commencing lattice sieving with 40 threads 02/10/22 10:12:36, nfs: commencing lattice sieving with 40 threads 02/10/22 10:16:41, nfs: commencing lattice sieving with 40 threads 02/10/22 10:20:59, nfs: commencing lattice sieving with 40 threads 02/10/22 10:25:03, nfs: commencing lattice sieving with 40 threads 02/10/22 10:29:03, nfs: commencing lattice sieving with 40 threads 02/10/22 10:33:08, nfs: commencing lattice sieving with 40 threads 02/10/22 10:37:17, nfs: commencing lattice sieving with 40 threads 02/10/22 10:41:35, nfs: commencing lattice sieving with 40 threads 02/10/22 10:45:43, nfs: commencing lattice sieving with 40 threads 02/10/22 10:49:44, nfs: commencing lattice sieving with 40 threads 02/10/22 10:53:52, nfs: commencing lattice sieving with 40 threads 02/10/22 10:57:58, nfs: commencing lattice sieving with 40 threads 02/10/22 11:02:11, nfs: commencing lattice sieving with 40 threads 02/10/22 11:06:20, nfs: commencing lattice sieving with 40 threads 02/10/22 11:10:30, nfs: commencing lattice sieving with 40 threads 02/10/22 11:14:36, nfs: commencing lattice sieving with 40 threads 02/10/22 11:18:38, nfs: commencing lattice sieving with 40 threads 02/10/22 11:22:36, nfs: commencing lattice sieving with 40 threads 02/10/22 11:26:44, nfs: commencing lattice sieving with 40 threads 02/10/22 11:30:48, nfs: commencing lattice sieving with 40 threads 02/10/22 11:35:07, nfs: commencing lattice sieving with 40 threads 02/10/22 11:39:11, nfs: commencing lattice sieving with 40 threads 02/10/22 11:43:12, nfs: commencing lattice sieving with 40 threads 02/10/22 11:47:21, nfs: commencing lattice sieving with 40 threads 02/10/22 11:51:29, nfs: commencing lattice sieving with 40 threads 02/10/22 11:55:45, nfs: commencing lattice sieving with 40 threads 02/10/22 11:59:55, nfs: commencing lattice sieving with 40 threads 02/10/22 12:04:03, nfs: commencing lattice sieving with 40 threads 02/10/22 12:08:10, nfs: commencing lattice sieving with 40 threads 02/10/22 12:12:25, nfs: commencing lattice sieving with 40 threads 02/10/22 12:16:27, nfs: commencing lattice sieving with 40 threads 02/10/22 12:20:41, nfs: commencing lattice sieving with 40 threads 02/10/22 12:25:02, nfs: commencing lattice sieving with 40 threads 02/10/22 12:29:06, nfs: commencing lattice sieving with 40 threads 02/10/22 12:33:15, nfs: commencing lattice sieving with 40 threads 02/10/22 12:37:33, nfs: commencing lattice sieving with 40 threads 02/10/22 12:41:48, nfs: commencing lattice sieving with 40 threads 02/10/22 12:46:02, nfs: commencing lattice sieving with 40 threads 02/10/22 12:50:13, nfs: commencing lattice sieving with 40 threads 02/10/22 12:54:23, nfs: commencing lattice sieving with 40 threads 02/10/22 12:58:36, nfs: commencing lattice sieving with 40 threads 02/10/22 13:02:45, nfs: commencing lattice sieving with 40 threads 02/10/22 13:06:51, nfs: commencing lattice sieving with 40 threads 02/10/22 13:11:06, nfs: commencing lattice sieving with 40 threads 02/10/22 13:15:19, nfs: commencing lattice sieving with 40 threads 02/10/22 13:19:21, nfs: commencing lattice sieving with 40 threads 02/10/22 13:23:31, nfs: commencing lattice sieving with 40 threads 02/10/22 13:27:36, nfs: commencing lattice sieving with 40 threads 02/10/22 13:31:47, nfs: commencing lattice sieving with 40 threads 02/10/22 13:36:12, nfs: commencing lattice sieving with 40 threads 02/10/22 13:40:23, nfs: commencing lattice sieving with 40 threads 02/10/22 13:44:38, nfs: commencing lattice sieving with 40 threads 02/10/22 13:48:50, nfs: commencing lattice sieving with 40 threads 02/10/22 13:52:55, nfs: commencing lattice sieving with 40 threads 02/10/22 13:57:05, nfs: commencing lattice sieving with 40 threads 02/10/22 14:01:27, nfs: commencing lattice sieving with 40 threads 02/10/22 14:05:43, nfs: commencing lattice sieving with 40 threads 02/10/22 14:09:54, nfs: commencing lattice sieving with 40 threads 02/10/22 14:14:27, nfs: commencing lattice sieving with 40 threads 02/10/22 14:18:38, nfs: commencing lattice sieving with 40 threads 02/10/22 14:22:47, nfs: commencing lattice sieving with 40 threads 02/10/22 14:26:51, nfs: commencing lattice sieving with 40 threads 02/10/22 14:31:04, nfs: commencing lattice sieving with 40 threads 02/10/22 14:35:23, nfs: commencing lattice sieving with 40 threads 02/10/22 14:39:35, nfs: commencing lattice sieving with 40 threads 02/10/22 14:43:59, nfs: commencing lattice sieving with 40 threads 02/10/22 14:48:11, nfs: commencing lattice sieving with 40 threads 02/10/22 14:52:24, nfs: commencing lattice sieving with 40 threads 02/10/22 14:56:43, nfs: commencing lattice sieving with 40 threads 02/10/22 15:00:58, nfs: commencing lattice sieving with 40 threads 02/10/22 15:05:20, nfs: commencing lattice sieving with 40 threads 02/10/22 15:09:33, nfs: commencing lattice sieving with 40 threads 02/10/22 15:13:59, nfs: commencing lattice sieving with 40 threads 02/10/22 15:18:13, nfs: commencing lattice sieving with 40 threads 02/10/22 15:22:28, nfs: commencing lattice sieving with 40 threads 02/10/22 15:26:47, nfs: commencing lattice sieving with 40 threads 02/10/22 15:31:10, nfs: commencing lattice sieving with 40 threads 02/10/22 15:35:20, nfs: commencing lattice sieving with 40 threads 02/10/22 15:39:38, nfs: commencing msieve filtering 02/10/22 15:43:52, nfs: raising min_rels by 5.00 percent to 22178659 02/10/22 15:43:52, nfs: commencing lattice sieving with 40 threads 02/10/22 15:48:07, nfs: commencing lattice sieving with 40 threads 02/10/22 15:52:22, nfs: commencing lattice sieving with 40 threads 02/10/22 15:56:45, nfs: commencing lattice sieving with 40 threads 02/10/22 16:01:00, nfs: commencing lattice sieving with 40 threads 02/10/22 16:05:17, nfs: commencing lattice sieving with 40 threads 02/10/22 16:09:30, nfs: commencing msieve filtering 02/10/22 16:14:03, nfs: raising min_rels by 5.00 percent to 23372830 02/10/22 16:14:03, nfs: commencing lattice sieving with 40 threads 02/10/22 16:18:27, nfs: commencing lattice sieving with 40 threads 02/10/22 16:22:40, nfs: commencing lattice sieving with 40 threads 02/10/22 16:26:56, nfs: commencing lattice sieving with 40 threads 02/10/22 16:31:22, nfs: commencing lattice sieving with 40 threads 02/10/22 16:35:46, nfs: commencing lattice sieving with 40 threads 02/10/22 16:40:17, nfs: commencing msieve filtering 02/10/22 16:45:02, nfs: raising min_rels by 5.00 percent to 24569170 02/10/22 16:45:02, nfs: commencing lattice sieving with 40 threads 02/10/22 16:49:20, nfs: commencing lattice sieving with 40 threads 02/10/22 16:53:40, nfs: commencing lattice sieving with 40 threads 02/10/22 16:58:00, nfs: commencing lattice sieving with 40 threads 02/10/22 17:02:20, nfs: commencing lattice sieving with 40 threads 02/10/22 17:06:42, nfs: commencing lattice sieving with 40 threads 02/10/22 17:10:59, nfs: commencing lattice sieving with 40 threads 02/10/22 17:15:13, nfs: commencing msieve filtering 02/10/22 17:22:31, nfs: commencing msieve linear algebra 02/10/22 18:14:01, nfs: commencing msieve sqrt 02/10/22 19:59:38, prp103 = 7158472402121506468924457782703730478302034447090441642540798610776022917535073343166414306555616674647 02/10/22 19:59:38, C44 = 21345101966691525203439088659975551070294385 02/10/22 19:59:38, prp55 = 3635874683562616058195882198478586430772451959645496153
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 5218R CPU @ 2.10GHz Detected L1 = 32768 bytes, L2 = 28835840 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 15:35:01 UTC 2022 年 1 月 16 日 (日) 0 時 35 分 1 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 29, 2022 22:48:06 UTC 2022 年 1 月 30 日 (日) 7 時 48 分 6 秒 (日本時間)

5×10²⁰⁴-379

c192

name 名前	Dmitry Domanov
date 日付	January 21, 2022 13:33:06 UTC 2022 年 1 月 21 日 (金) 22 時 33 分 6 秒 (日本時間)
composite number 合成数	392107659992321151790545025677640402642930515108481309345904143806628673094761928371742694418598170941564640459030486613446474475615228965908370161729249535452204603902896051386331465041696829<192>
prime factors 素因数	13120478554262423242261629126794341<35>
composite cofactor 合成数の残り	29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369<158>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1709343569 Step 1 took 8862ms Step 2 took 3680ms ********** Factor found in step 2: 13120478554262423242261629126794341 Found probable prime factor of 35 digits: 13120478554262423242261629126794341 Composite cofactor 29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369 has 158 digits

c158

name 名前	Bob Backstrom
date 日付	May 17, 2024 14:44:17 UTC 2024 年 5 月 17 日 (金) 23 時 44 分 17 秒 (日本時間)
composite number 合成数	29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369<158>
prime factors 素因数	627214553437867931638683823646193093274591079547191942846169377<63> 47647434745018408354055623864228049257936743137891941818346482903706021687123687983223068065497<95>
factorization results 素因数分解の結果	Number: n N=29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369 ( 158 digits) SNFS difficulty: 204 digits. Divisors found: Fri May 17 11:11:43 2024 prp63 factor: 627214553437867931638683823646193093274591079547191942846169377 Fri May 17 11:11:43 2024 prp95 factor: 47647434745018408354055623864228049257936743137891941818346482903706021687123687983223068065497 Fri May 17 11:11:43 2024 elapsed time 02:23:18 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.008). Factorization parameters were as follows: # # N = 5x10^204-37 = 5(202)35 # n: 29885164506056673672250832691922210583148592475035991833890321795703837550699573270249007973360099747378709366577566319837991753900097917926736582184191685369 m: 50000000000000000000000000000000000000000 deg: 5 c5: 16 c0: -185 skew: 1.63 # Murphy_E = 8.973e-12 type: snfs lss: 1 rlim: 18100000 alim: 18100000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18100000/18100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 41850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4396478 hash collisions in 21597235 relations (17426024 unique) Msieve: matrix is 2141666 x 2141891 (602.9 MB) Sieving start time: 2024/05/16 17:16:40 Sieving end time : 2024/05/17 08:46:57 Total sieving time: 15hrs 30min 17secs. Total relation processing time: 2hrs 15min 11sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 25sec. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,18100000,18100000,27,27,56,56,2.6,2.6,100000 total time: 0.00 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
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	January 21, 2022 00:02:31 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 31 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	February 3, 2022 21:59:44 UTC 2022 年 2 月 4 日 (金) 6 時 59 分 44 秒 (日本時間)
45	11e6	4480		Ignacio Santos	February 3, 2022 23:01:53 UTC 2022 年 2 月 4 日 (金) 8 時 1 分 53 秒 (日本時間)
50	43e6	1000 / 6415		Dmitry Domanov	March 1, 2022 06:50:47 UTC 2022 年 3 月 1 日 (火) 15 時 50 分 47 秒 (日本時間)

5×10²⁰⁵-379

c174

name 名前	Dmitry Domanov
date 日付	January 21, 2022 13:33:37 UTC 2022 年 1 月 21 日 (金) 22 時 33 分 37 秒 (日本時間)
composite number 合成数	603885290690121713746911239303204377350838958806318432799898563725184460689233250311989606787410012069864932223748532841982731367633788298838751785570920325354004832712918599<174>
prime factors 素因数	6835422788766231293279142653348281<34> 88346443131884281094062929019279251926065226123043305843430867261620633474832392845563677351075359340715982045090602382941072207382106132479<140>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1156272593 Step 1 took 10538ms Step 2 took 3727ms ********** Factor found in step 2: 6835422788766231293279142653348281 Found probable prime factor of 34 digits: 6835422788766231293279142653348281 Probable prime cofactor 88346443131884281094062929019279251926065226123043305843430867261620633474832392845563677351075359340715982045090602382941072207382106132479 has 140 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 21, 2022 00:02:37 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 37 秒 (日本時間)

5×10²⁰⁸-379

c203

name 名前	Bob Backstrom
date 日付	August 22, 2024 03:44:17 UTC 2024 年 8 月 22 日 (木) 12 時 44 分 17 秒 (日本時間)
composite number 合成数	29294500543412985080310873239766698597672258986820404205518498012368138129428962300907250681829500147937227744235574655569909860821827918244907883443041237868414962459097553616259619581615943238975747083<203>
prime factors 素因数	46524748379174506428491299373168756348277165962290833960587<59> 629654142450469294234527126851312398645947037231652908128045576764263183937091431523228761715996386886877433598582853427277509548527325641441409<144>
factorization results 素因数分解の結果	Number: n N=29294500543412985080310873239766698597672258986820404205518498012368138129428962300907250681829500147937227744235574655569909860821827918244907883443041237868414962459097553616259619581615943238975747083 ( 203 digits) SNFS difficulty: 208 digits. Divisors found: Thu Aug 22 13:38:01 2024 prp59 factor: 46524748379174506428491299373168756348277165962290833960587 Thu Aug 22 13:38:01 2024 prp144 factor: 629654142450469294234527126851312398645947037231652908128045576764263183937091431523228761715996386886877433598582853427277509548527325641441409 Thu Aug 22 13:38:01 2024 elapsed time 03:13:35 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.088). Factorization parameters were as follows: # # N = 5x10^208-37 = 5(206)35 # n: 29294500543412985080310873239766698597672258986820404205518498012368138129428962300907250681829500147937227744235574655569909860821827918244907883443041237868414962459097553616259619581615943238975747083 m: 100000000000000000000000000000000000000000 deg: 5 c5: 1000 c0: -37 skew: 0.52 # Murphy_E = 6.271e-12 type: snfs lss: 1 rlim: 21000000 alim: 21000000 lpbr: 27 lpba: 27 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 q0: 50000 qintsize: 50000 Factor base limits: 21000000/21000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 57/57 Sieved special-q in [50000, 48850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7536921 hash collisions in 25271050 relations (16121661 unique) Msieve: matrix is 2405800 x 2406025 (677.5 MB) Sieving start time: 2024/08/21 07:19:34 Sieving end time : 2024/08/22 10:15:33 Total sieving time: 26hrs 55min 59secs. Total relation processing time: 2hrs 57min 59sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 53sec. Prototype def-par.txt line would be: snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000 total time: 0.00 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
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2000	1000	Dmitry Domanov	January 21, 2022 00:02:45 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 45 秒 (日本時間)
40	3e6	2000	1000	Dmitry Domanov	January 23, 2022 01:31:43 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 43 秒 (日本時間)
45	11e6	1000 / 3992		Dmitry Domanov	February 14, 2022 08:07:38 UTC 2022 年 2 月 14 日 (月) 17 時 7 分 38 秒 (日本時間)

5×10²⁰⁹-379

c195

name 名前	Dmitry Domanov
date 日付	January 21, 2022 20:11:23 UTC 2022 年 1 月 22 日 (土) 5 時 11 分 23 秒 (日本時間)
composite number 合成数	688885330131027575954009603349324145423045028620748472779179160487717465152401385216717963888930307505738409107680310435256212819721966935657352146883034907859375697046844937673510174676184489563<195>
prime factors 素因数	25074304228595794777565455591349320303<38>
composite cofactor 合成数の残り	27473756553746910024895885430824087298703218422058293781484945211770628907365249902557288744926083100537865556564468477332901098981477567281876816603998814421<158>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2072005917 Step 1 took 10654ms Step 2 took 4129ms ********** Factor found in step 2: 25074304228595794777565455591349320303 Found probable prime factor of 38 digits: 25074304228595794777565455591349320303 Composite cofactor 27473756553746910024895885430824087298703218422058293781484945211770628907365249902557288744926083100537865556564468477332901098981477567281876816603998814421 has 158 digits

c158

name 名前	Dmitry Domanov
date 日付	March 2, 2022 12:28:41 UTC 2022 年 3 月 2 日 (水) 21 時 28 分 41 秒 (日本時間)
composite number 合成数	27473756553746910024895885430824087298703218422058293781484945211770628907365249902557288744926083100537865556564468477332901098981477567281876816603998814421<158>
prime factors 素因数	536508750842923477166891457127123493985981179093<48> 27012559772164540503647159183078878407344167515961<50> 1895725686719642028997005084060122710924167471500051946803977<61>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=339684671 Step 1 took 105973ms Step 2 took 29866ms ********** Factor found in step 2: 536508750842923477166891457127123493985981179093 Found probable prime factor of 48 digits: 536508750842923477166891457127123493985981179093 Composite cofactor 51208403424142000573994663648352186280986598795376932813794275931229329278080406211760068588038625877085776897 has 110 digits C110 factored by GNFS: N=51208403424142000573994663648352186280986598795376932813794275931229329278080406211760068588038625877085776897 ( 110 digits) Divisors found: p50 factor: 27012559772164540503647159183078878407344167515961 p61 factor: 1895725686719642028997005084060122710924167471500051946803977 Version: Msieve v. 1.54 (SVN 1043M) Total time: 11.45 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 51208403424142000573994663648352186280986598795376932813794275931229329278080406211760068588038625877085776897 skew: 17656.66 c0: 7020193959879585403194636 c1: 556243713078253050647 c2: -378964887697342852 c3: 9972947069828 c4: 1217762640 c5: 8460 Y0: -1433354766767327006735 Y1: 4641639918217 rlim: 3200000 alim: 3200000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1600000, 2300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 348892 x 349118 Total sieving time: 11.29 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,52,52,2.5,2.5,100000 total time: 11.45 hours. --------- CPU info (if available) ----------
software ソフトウェア	ECM/GGNFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 21, 2022 00:02:53 UTC 2022 年 1 月 21 日 (金) 9 時 2 分 53 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 8, 2022 21:18:23 UTC 2022 年 2 月 9 日 (水) 6 時 18 分 23 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:11:34 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 34 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:51:00 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 0 秒 (日本時間)

5×10²¹⁰-379

c200

name 名前	Bob Backstrom
date 日付	December 20, 2024 14:29:59 UTC 2024 年 12 月 20 日 (金) 23 時 29 分 59 秒 (日本時間)
composite number 合成数	84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953<200>
prime factors 素因数	308435378395245104296157954033609703227303239871<48> 1558369745152621398946360775602212596742616650467<49> 176583572178931928456930765664774200563999611113657409589235230290874817875975815049583914670274177716029<105>
factorization results 素因数分解の結果	12/17/24 02:24:12 v1.34.5 @ RYZEN-9, 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, ************************** 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, Starting factorization of 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999963 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, using pretesting plan: normal 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, ************************** 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, div: found prime factor = 3 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, div: found prime factor = 3 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C210 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C210 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, prp5 = 23039 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C205 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, prp5 = 56821 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C200 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C200 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C200 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.54 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C200 input, B1=2K, B2=gmp-ecm default 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18 12/17/24 02:24:12 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.54 12/17/24 02:24:15 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C200 input, B1=11K, B2=gmp-ecm default 12/17/24 02:24:15 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24 12/17/24 02:24:15 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.54 12/17/24 02:24:55 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999963 12/17/24 02:24:55 v1.34.5 @ RYZEN-9, nfs: input divides 10^210 - 37 12/17/24 02:24:55 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953 12/17/24 02:24:55 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c200: 84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953 12/17/24 02:24:55 v1.34.5 @ RYZEN-9, gen: best 2 polynomials: n: 84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953 # 10^210-37, difficulty: 210.00, anorm: -3.60e+031, rnorm: 1.00e+048 # scaled difficulty: 212.74, suggest sieving rational side # size = 2.293e-014, alpha = 0.433, combined = 6.991e-012, rroots = 1 type: snfs size: 210 skew: 1.0000 c5: 1 c0: -37 Y1: -1 Y0: 1000000000000000000000000000000000000000000 m: 1000000000000000000000000000000000000000000 n: 84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953 # 10^210-37, difficulty: 210.00, anorm: -3.60e+037, rnorm: 1.00e+041 # scaled difficulty: 210.00, suggest sieving algebraic side # size = 1.900e-010, alpha = 1.430, combined = 5.046e-012, rroots = 2 type: snfs size: 210 skew: 1.0000 c6: 1 c0: -37 Y1: -1 Y0: 100000000000000000000000000000000000 m: 100000000000000000000000000000000000 12/17/24 02:24:57 v1.34.5 @ RYZEN-9, test: fb generation took 1.6332 seconds 12/17/24 02:24:57 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000 skew: 1.0000 c5: 1 c0: -37 Y1: -1 Y0: 1000000000000000000000000000000000000000000 m: 1000000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 12/17/24 02:28:11 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 12/17/24 02:28:13 v1.34.5 @ RYZEN-9, test: fb generation took 2.3609 seconds 12/17/24 02:28:13 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the algebraic side over range 21400000-21402000 skew: 1.0000 c6: 1 c0: -37 Y1: -1 Y0: 100000000000000000000000000000000000 m: 100000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 12/17/24 02:31:07 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 12/17/24 02:31:07 v1.34.5 @ RYZEN-9, gen: selected polynomial: n: 84876017397054600581830480396312260250124831169177670211905575579009055166904155407598782343225567042542494725611822577579298538234647558857510007125833092623462664982037627751908895984827799424934953 # 10^210-37, difficulty: 210.00, anorm: -3.60e+031, rnorm: 1.00e+048 # scaled difficulty: 212.74, suggest sieving rational side # size = 2.293e-014, alpha = 0.433, combined = 6.991e-012, rroots = 1 type: snfs size: 210 skew: 1.0000 c5: 1 c0: -37 Y1: -1 Y0: 1000000000000000000000000000000000000000000 m: 1000000000000000000000000000000000000000000 12/18/24 09:16:27 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 12/18/24 09:18:36 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22161038 12/18/24 11:00:53 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 12/18/24 11:03:11 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23379569 12/18/24 12:44:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 12/18/24 12:46:59 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24579012 12/18/24 14:43:15 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 12/18/24 14:45:47 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25940472 12/18/24 16:44:52 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 12/18/24 16:49:28 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra 12/18/24 21:50:47 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt 12/18/24 21:53:30 v1.34.5 @ RYZEN-9, prp49 = 1558369745152621398946360775602212596742616650467 12/18/24 21:53:30 v1.34.5 @ RYZEN-9, C152 = 54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 12/18/24 21:53:31 v1.34.5 @ RYZEN-9, NFS elapsed time = 156515.1555 seconds. 12/18/24 21:53:31 v1.34.5 @ RYZEN-9, 12/18/24 21:53:31 v1.34.5 @ RYZEN-9, 12/17/24 02:31:07 v1.34.5 @ RYZEN-9, test: test sieving took 371.61 seconds CADO-NFS STA:Thu Dec 19 06:33:03 AEDT 2024 (54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 - C152) ./cado-nfs.py -t 16 --no-colors 54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 2>&1 \| tee -a log-32 Info:root: Using default parameter file ./parameters/factor/params.c153 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.2g8sj6yd Info:Database: Opened connection to database /tmp/cado.2g8sj6yd/c153.db Info:root: Set tasks.threads=16 based on --server-threads 16 Info:root: tasks.threads = 16 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2 Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.2g8sj6yd/c153.parameters_snapshot.0 Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect Info:HTTP server: Using non-threaded HTTPS server Info:HTTP server: Using whitelist: localhost,TrigKey-2 Info:Lattice Sieving: param rels_wanted is 155000000 Info:Complete Factorization / Discrete logarithm: Factoring 54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 Info:HTTP server: serving at https://TrigKey-2:39037 (0.0.0.0) === Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 4.534e-07 Info:Polynomial Selection (root optimized): Best polynomial is: n: 54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 skew: 809968.513 c0: 356048311116799707205778257757269176 c1: 453628334509838092971669426954 c2: -2113879054619770587226499 c3: -996778513032380234 c4: 3803853169576 c5: 127680 Y0: 131321260655453456156366690435 Y1: 51949958480630731356359 # MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=5.234e+14) = 4.534e-07 # f(x) = 127680x^5+3803853169576x^4-996778513032380234x^3-2113879054619770587226499x^2+453628334509838092971669426954x+356048311116799707205778257757269176 # g(x) = 51949958480630731356359x+131321260655453456156366690435 === Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 169103.43, WCT time 11666.06, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (116000 iterations) Info:Linear Algebra: Lingen CPU time 208.94, WCT time 87.67 Info:Linear Algebra: Mksol: CPU time 88828.99, WCT time 6193.71, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (60000 iterations) Info:Quadratic Characters: Starting Info:Complete Factorization / Discrete logarithm: Quadratic Characters Info:Quadratic Characters: Total cpu/real time for characters: 89.23/23.1828 Info:Square Root: Starting Info:Square Root: Creating file of (a,b) values Info:Square Root: finished Info:Square Root: Factors: 308435378395245104296157954033609703227303239871 176583572178931928456930765664774200563999611113657409589235230290874817875975815049583914670274177716029 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 5352.76/407.884 Info:HTTP server: Got notification to stop serving Workunits Info:Linear Algebra: Total cpu/real time for bwc: 268762/18718.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 169103.43, WCT time 11666.06, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (116000 iterations) Info:Linear Algebra: Lingen CPU time 208.94, WCT time 87.67 Info:Linear Algebra: Mksol: CPU time 88828.99, WCT time 6193.71, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (60000 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 745.24/59.7557 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5308.84 Info:Polynomial Selection (root optimized): Rootsieve time: 5383.43 Info:Filtering - Singleton removal: Total cpu/real time for purge: 698.05/258.901 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 162279 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 154172/45.490/57.033/69.640/2.578 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 131290/44.770/49.569/61.940/1.499 Info:Polynomial Selection (size optimized): Total time: 83461.9 Info:Quadratic Characters: Total cpu/real time for characters: 89.23/23.1828 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 155001330 Info:Lattice Sieving: Average J: 7733.67 for 950762 special-q, max bucket fill -bkmult 1.0,1s:1.076220 Info:Lattice Sieving: Total time: 916504s Info:Generate Factor Base: Total cpu/real time for makefb: 4.28/1.29649 Info:Square Root: Total cpu/real time for sqrt: 5352.76/407.884 Info:Filtering - Merging: Total cpu/real time for merge: 572.41/53.2862 Info:Filtering - Merging: Total cpu/real time for replay: 92.99/83.9 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 631.22/416.25 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 416.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 3112.48/1592.79 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1464.1s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.08278e+06/144119 [1d 16:01:59] Info:root: Cleaning up computation data in /tmp/cado.2g8sj6yd 308435378395245104296157954033609703227303239871 176583572178931928456930765664774200563999611113657409589235230290874817875975815049583914670274177716029 END:Fri Dec 20 22:35:06 AEDT 2024 (54464620903392945392732483551982935124408316999982283742935445706725660467423003375873870220266281385870686883003164725483104001311480320110822708592259 - C152)
software ソフトウェア	YAFU + CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 23, 2022 01:31:35 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 35 秒 (日本時間)
45	11e6	2200 / 4213	1200	Dmitry Domanov	February 14, 2022 08:08:12 UTC 2022 年 2 月 14 日 (月) 17 時 8 分 12 秒 (日本時間)
45	11e6	2200 / 4213	1000	Dmitry Domanov	February 21, 2022 16:11:54 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 54 秒 (日本時間)

5×10²¹¹-379

c148

composite cofactor 合成数の残り	4736840110007353325723061103519918112648177476201092963419680630199523843402777521922668134901880137621302637771604487690138550327883402302537178377<148>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 23, 2022 01:31:20 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 20 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 8, 2022 21:19:12 UTC 2022 年 2 月 9 日 (水) 6 時 19 分 12 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:11:54 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 54 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:51:09 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 9 秒 (日本時間)

5×10²¹²-379

c211

name 名前	Dmitry Domanov
date 日付	January 23, 2022 08:02:33 UTC 2022 年 1 月 23 日 (日) 17 時 2 分 33 秒 (日本時間)
composite number 合成数	1587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301<211>
prime factors 素因数	779540629848181002956420922843883<33> 2036201227395576969104744130375117880149296096126843684263345971314429053093434623911244204672268969006369527805678295806427430393676071765314752787243268454573347685307352465647<178>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:371302339 Step 1 took 21296ms Step 2 took 9074ms ********** Factor found in step 2: 779540629848181002956420922843883 Found prime factor of 33 digits: 779540629848181002956420922843883 Prime cofactor 2036201227395576969104744130375117880149296096126843684263345971314429053093434623911244204672268969006369527805678295806427430393676071765314752787243268454573347685307352465647 has 178 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 23, 2022 01:30:12 UTC 2022 年 1 月 23 日 (日) 10 時 30 分 12 秒 (日本時間)

5×10²¹⁴-379

c204

composite cofactor 合成数の残り

979040505922251706350141437786702019827167843223160983924786275978896241856102797755581478570490554817791260473542443095902498909165061547624696368075199250669496608312471886833515433056209936194548802893<204>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 23, 2022 01:30:24 UTC 2022 年 1 月 23 日 (日) 10 時 30 分 24 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 14, 2022 08:08:21 UTC 2022 年 2 月 14 日 (月) 17 時 8 分 21 秒 (日本時間)

5×10²¹⁵-379

c167

name 名前	Dmitry Domanov
date 日付	March 2, 2022 20:30:13 UTC 2022 年 3 月 3 日 (木) 5 時 30 分 13 秒 (日本時間)
composite number 合成数	19768085597564054340912036459275785407365889494974511264519845660202326170063089545060671961576592442932842690880185384449775284043067185788074005324299724468520505293<167>
prime factors 素因数	166206105019962646097283782457747412807411936027<48> 118937181009023425996417641560053048952273531912165468852407204597522195040881788389151830101727405578562670981143951159<120>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:147471911 Step 1 took 93523ms Step 2 took 33894ms ********** Factor found in step 2: 166206105019962646097283782457747412807411936027 Found prime factor of 48 digits: 166206105019962646097283782457747412807411936027 Prime cofactor 118937181009023425996417641560053048952273531912165468852407204597522195040881788389151830101727405578562670981143951159 has 120 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 23, 2022 01:31:14 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 14 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 8, 2022 21:18:48 UTC 2022 年 2 月 9 日 (水) 6 時 18 分 48 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:12:13 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 13 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:51:19 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 19 秒 (日本時間)

5×10²¹⁶-379

c210

composite cofactor 合成数の残り

356934178125146119929169981692846003961255508832871638973928456827204951962013637027209449332658013868320556874427343727970468693838637910621540192394660693016261564221203532077853055195944371094470839726916799<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 22, 2022 22:08:58 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 58 秒 (日本時間)
45	11e6	5680	1200	Dmitry Domanov	February 14, 2022 08:08:40 UTC 2022 年 2 月 14 日 (月) 17 時 8 分 40 秒 (日本時間)
45	11e6	5680	4480	Ignacio Santos	September 25, 2022 15:49:32 UTC 2022 年 9 月 26 日 (月) 0 時 49 分 32 秒 (日本時間)

5×10²¹⁸-379

c166

composite cofactor 合成数の残り	4828882382936850811966530955559728922536649985828138280265881086517452774148032763707428293241679943249989331961695596114571871266843887497815257067670511920034598199<166>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 23, 2022 01:31:27 UTC 2022 年 1 月 23 日 (日) 10 時 31 分 27 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 9, 2022 05:58:36 UTC 2022 年 2 月 9 日 (水) 14 時 58 分 36 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:12:14 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 14 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:51:27 UTC 2022 年 3 月 1 日 (火) 15 時 51 分 27 秒 (日本時間)

5×10²¹⁹-379

c134

name 名前	Eric Jeancolas
date 日付	January 7, 2022 10:24:40 UTC 2022 年 1 月 7 日 (金) 19 時 24 分 40 秒 (日本時間)
composite number 合成数	21672211516634550166758586288776158581036394361833303637075019740504248961575934835204316224744258405268543081124899510646099733781843<134>
prime factors 素因数	132737309237791224994472850820593327597188274241<48> 163271439213899044988737273224710768229953710655850257651008751545475440056853631922323<87>
factorization results 素因数分解の結果	21672211516634550166758586288776158581036394361833303637075019740504248961575934835204316224744258405268543081124899510646099733781843=132737309237791224994472850820593327597188274241163271439213899044988737273224710768229953710655850257651008751545475440056853631922323 cado polynomial n: 21672211516634550166758586288776158581036394361833303637075019740504248961575934835204316224744258405268543081124899510646099733781843 skew: 454156.112 c0: -174340146637791054924443820657310 c1: -905598881999357212563451903 c2: -6339129547052433224738 c3: 10255836571035726 c4: 17992796060 c5: -19200 Y0: -90613244424811809825864147 Y1: 7062211641078487687 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.407e-07 # f(x) = -19200x^5+17992796060x^4+10255836571035726x^3-6339129547052433224738x^2-905598881999357212563451903x-174340146637791054924443820657310 # g(x) = 7062211641078487687*x-90613244424811809825864147 cado parameters (extracts) tasks.lim0 = 3341873 tasks.lim1 = 16407032 tasks.lpb0 = 27 tasks.lpb1 = 28 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 62 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 163271439213899044988737273224710768229953710655850257651008751545475440056853631922323 132737309237791224994472850820593327597188274241 Info:Square Root: Total cpu/real time for sqrt: 363.9/109.309 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.97/86.7886 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.7s Info:Linear Algebra: Total cpu/real time for bwc: 20234.4/5200.99 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 12828.6, WCT time 3288.0, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36096 iterations) Info:Linear Algebra: Lingen CPU time 229.48, WCT time 58.17 Info:Linear Algebra: Mksol: CPU time 6986.07, WCT time 1785.43, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 249.44/63.1236 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 53395.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54037/39.020/47.913/53.120/0.967 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44238/38.900/42.715/48.510/0.995 Info:Polynomial Selection (size optimized): Total time: 11179.7 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.44/162.514 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.5s Info:Square Root: Total cpu/real time for sqrt: 363.9/109.309 Info:Quadratic Characters: Total cpu/real time for characters: 37.87/15.4365 Info:Generate Factor Base: Total cpu/real time for makefb: 15.12/4.02782 Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.35/106.028 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6871.09 Info:Polynomial Selection (root optimized): Rootsieve time: 6868.63 Info:Filtering - Merging: Merged matrix has 1148691 rows and total weight 195693017 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 288.24/80.4108 Info:Filtering - Merging: Total cpu/real time for replay: 40.87/34.872 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17025888 Info:Lattice Sieving: Average J: 3834.85 for 495695 special-q, max bucket fill -bkmult 1.0,1s:1.161090 Info:Lattice Sieving: Total time: 170150s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 358070/96384.7 163271439213899044988737273224710768229953710655850257651008751545475440056853631922323 132737309237791224994472850820593327597188274241
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-90-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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	December 30, 2021 13:28:00 UTC 2021 年 12 月 30 日 (木) 22 時 28 分 0 秒 (日本時間)

5×10²²¹-379

c198

name 名前	Dmitry Domanov
date 日付	February 10, 2022 05:21:30 UTC 2022 年 2 月 10 日 (木) 14 時 21 分 30 秒 (日本時間)
composite number 合成数	301532797945654663347125370642374674251003938987155240998716993944416409505987693128581788866220063484521942285045136927846057161158681477797494261176803296090998682699853071034190246836137009860687<198>
prime factors 素因数	1049252909525838009871348485844282549<37>
composite cofactor 合成数の残り	287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963<162>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=47535486 Step 1 took 48804ms Step 2 took 15948ms ********** Factor found in step 2: 1049252909525838009871348485844282549 Found probable prime factor of 37 digits: 1049252909525838009871348485844282549 Composite cofactor 287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963 has 162 digits

c162

name 名前	Erik Branger
date 日付	May 31, 2024 16:26:00 UTC 2024 年 6 月 1 日 (土) 1 時 26 分 0 秒 (日本時間)
composite number 合成数	287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963<162>
prime factors 素因数	84599494395723557239144529578583926273369976133094565811359323151<65> 3396930081203510341099412800107002923472401544675559570891319898715572344940417914746465087634013<97>
factorization results 素因数分解の結果	Number: 55535_221 N = 287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963 (162 digits) SNFS difficulty: 221 digits. Divisors found: r1=84599494395723557239144529578583926273369976133094565811359323151 (pp65) r2=3396930081203510341099412800107002923472401544675559570891319898715572344940417914746465087634013 (pp97) Version: Msieve v. 1.52 (SVN unknown) Total time: 22.84 hours. Factorization parameters were as follows: n: 287378567367441141307286925933072894379652000747720649682988187815948003652957756688549427848275109058143347824744069853069025102205265451790574711929687685934963 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 10 c0: -37 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 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30417681 Relations: 7321448 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 8.28 hours. Total relation processing time: 0.25 hours. Pruned matrix : 6308572 x 6308797 Matrix solve time: 13.98 hours. time per square root: 0.34 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 22.84 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22621-SP0 processors: 12, speed: 3.19GHz
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
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 22, 2022 22:08:48 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 48 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 9, 2022 15:29:38 UTC 2022 年 2 月 10 日 (木) 0 時 29 分 38 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:12:26 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 26 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:54:15 UTC 2022 年 3 月 1 日 (火) 15 時 54 分 15 秒 (日本時間)

5×10²²²-379

c209

name 名前	Erik Branger
date 日付	September 29, 2024 19:56:55 UTC 2024 年 9 月 30 日 (月) 4 時 56 分 55 秒 (日本時間)
composite number 合成数	47431992246868145515957911604379458611800397610346476381236790227127445528731295410846301888282436259686424651346804579980316579504459832786696377541403243842206386307576248030104053940641873023722995858850959<209>
prime factors 素因数	34829023419441421160369090583939552967731420625451238483112817<62> 1361852489392274998769721862836081857446832754111844134767319271192982640521585354884876775497157090511677963762415273852423913450383626977093449727<148>
factorization results 素因数分解の結果	Number: 55535_222 N = 47431992246868145515957911604379458611800397610346476381236790227127445528731295410846301888282436259686424651346804579980316579504459832786696377541403243842206386307576248030104053940641873023722995858850959 (209 digits) SNFS difficulty: 222 digits. Divisors found: r1=34829023419441421160369090583939552967731420625451238483112817 (pp62) r2=1361852489392274998769721862836081857446832754111844134767319271192982640521585354884876775497157090511677963762415273852423913450383626977093449727 (pp148) Version: Msieve v. 1.52 (SVN unknown) Total time: 41.48 hours. Factorization parameters were as follows: n: 47431992246868145515957911604379458611800397610346476381236790227127445528731295410846301888282436259686424651346804579980316579504459832786696377541403243842206386307576248030104053940641873023722995858850959 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 100 c0: -37 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 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30025400 Relations: 8196236 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 13.10 hours. Total relation processing time: 0.42 hours. Pruned matrix : 6991085 x 6991310 Matrix solve time: 27.74 hours. time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 41.48 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22621-SP0 processors: 12, speed: 3.19GHz
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
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 22:08:40 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 40 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 14, 2022 14:20:35 UTC 2022 年 2 月 14 日 (月) 23 時 20 分 35 秒 (日本時間)

5×10²²³-379

c217

name 名前	Erik Branger
date 日付	September 29, 2024 19:57:14 UTC 2024 年 9 月 30 日 (月) 4 時 57 分 14 秒 (日本時間)
composite number 合成数	9567574342444534379643263423067613091120621280007500978284476514953640318523685008663438567083525880766975029587723654009722569046792135836593484290521308423196775344743622494132685034495889291683768705803786271870279<217>
prime factors 素因数	193646059394811022491119760761063719697465751922875437<54> 147934014127390934901784885977567987011495725393156558493824805477<66> 333983598694548183834396748965975006424135495875141627073718909800837601955649687361279135267409671<99>
factorization results 素因数分解の結果	Number: 55535_223 N = 9567574342444534379643263423067613091120621280007500978284476514953640318523685008663438567083525880766975029587723654009722569046792135836593484290521308423196775344743622494132685034495889291683768705803786271870279 (217 digits) SNFS difficulty: 223 digits. Divisors found: r1=193646059394811022491119760761063719697465751922875437 (pp54) r2=147934014127390934901784885977567987011495725393156558493824805477 (pp66) r3=333983598694548183834396748965975006424135495875141627073718909800837601955649687361279135267409671 (pp99) Version: Msieve v. 1.52 (SVN unknown) Total time: 57.06 hours. Factorization parameters were as follows: n: 9567574342444534379643263423067613091120621280007500978284476514953640318523685008663438567083525880766975029587723654009722569046792135836593484290521308423196775344743622494132685034495889291683768705803786271870279 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1000 c0: -37 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 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 0 Relations: 9039710 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 16.96 hours. Total relation processing time: 0.49 hours. Pruned matrix : 7652638 x 7652863 Matrix solve time: 38.99 hours. time per square root: 0.62 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: 57.06 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22621-SP0 processors: 12, speed: 3.19GHz
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
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 22:08:33 UTC 2022 年 1 月 23 日 (日) 7 時 8 分 33 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 14, 2022 14:20:48 UTC 2022 年 2 月 14 日 (月) 23 時 20 分 48 秒 (日本時間)

5×10²²⁴-379

c207

composite cofactor 合成数の残り

765938774119353821718526163905939100732759685332766311479396113755225785836452770372690251652619604809933797122948948095049240939653911413984465411959847858854130324880785391029628348873691831253434701270357<207>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 22:05:32 UTC 2022 年 1 月 23 日 (日) 7 時 5 分 32 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 14, 2022 14:22:10 UTC 2022 年 2 月 14 日 (月) 23 時 22 分 10 秒 (日本時間)

5×10²²⁵-379

c215

composite cofactor 合成数の残り

97802603372505401234593031070156669983496234166162316490049771794735595718666039023154048575134502925150239427604567738791724559976382963778562997128450721857205448671330072600600655412351506878222222236305797107863<215>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 22:05:06 UTC 2022 年 1 月 23 日 (日) 7 時 5 分 6 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 14, 2022 15:20:31 UTC 2022 年 2 月 15 日 (火) 0 時 20 分 31 秒 (日本時間)

5×10²²⁷-379

c202

composite cofactor 合成数の残り

6211878729442308817380586585007284141677512606590132509432970700727317034693283513667682296993779291788150255015487347797167326921701997319827299827075628807601782382496268112035125842440314039992568381<202>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 18:59:03 UTC 2022 年 1 月 23 日 (日) 3 時 59 分 3 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 14, 2022 15:20:49 UTC 2022 年 2 月 15 日 (火) 0 時 20 分 49 秒 (日本時間)

5×10²²⁸-379

c174

composite cofactor 合成数の残り	228463221214564581295586496199898210782764404754302048163550396535920101458716307240587589710962239939216319148974664085039167439197005957000117544831675247269411380596364809<174>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 22, 2022 19:10:09 UTC 2022 年 1 月 23 日 (日) 4 時 10 分 9 秒 (日本時間)
45	11e6	2200 / 4213	1200	Dmitry Domanov	February 9, 2022 15:29:57 UTC 2022 年 2 月 10 日 (木) 0 時 29 分 57 秒 (日本時間)
45	11e6	2200 / 4213	1000	Dmitry Domanov	February 21, 2022 16:12:35 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 35 秒 (日本時間)

5×10²²⁹-379

c198

name 名前	Dmitry Domanov
date 日付	January 22, 2022 22:47:00 UTC 2022 年 1 月 23 日 (日) 7 時 47 分 0 秒 (日本時間)
composite number 合成数	358166068301801851735928505526172906742790598096300548006280293341727317913036579169226580694860777845835370618190013760368082833262149978107012879090913693900743127057296961789630894860599712254227<198>
prime factors 素因数	1001078721801645045476976992217984651793<40> 357780123082837147525812902266992626488956480620121998625222855476851986382469608574183577283524079165407837616108738153825665662997312977977710194042215335139<159>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1928127867 Step 1 took 10523ms Step 2 took 4860ms ********** Factor found in step 2: 1001078721801645045476976992217984651793 Found prime factor of 40 digits: 1001078721801645045476976992217984651793 Prime cofactor 357780123082837147525812902266992626488956480620121998625222855476851986382469608574183577283524079165407837616108738153825665662997312977977710194042215335139 has 159 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 22, 2022 19:10:17 UTC 2022 年 1 月 23 日 (日) 4 時 10 分 17 秒 (日本時間)

5×10²³⁰-379

c221

name 名前	Dmitry Domanov
date 日付	February 15, 2022 22:11:11 UTC 2022 年 2 月 16 日 (水) 7 時 11 分 11 秒 (日本時間)
composite number 合成数	86025281386695328088177510050585248355671264376436418426772527244514155547367841323732667618778996503960952787559475954735090122532199957477187258868179154045327716935408226301559991141219753135779147873185828002791826631<221>
prime factors 素因数	535546043203344945915238254736945450777<39> 160630971843501851448370177078634832969245269845541995011975273513740642559693760109239844751478729475867489364060165534437353416118398197043606012280694180069348190217544230189575903<183>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2906532383 Step 1 took 57180ms Step 2 took 18452ms ********** Factor found in step 2: 535546043203344945915238254736945450777 Found probable prime factor of 39 digits: 535546043203344945915238254736945450777 Probable prime cofactor 160630971843501851448370177078634832969245269845541995011975273513740642559693760109239844751478729475867489364060165534437353416118398197043606012280694180069348190217544230189575903 has 183 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 18:57:50 UTC 2022 年 1 月 23 日 (日) 3 時 57 分 50 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:02:08 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 8 秒 (日本時間)

5×10²³¹-379

c203

composite cofactor 合成数の残り

51086208978729227732678021189980205200494249462148883605848373622098807919848521737756788862397018821159781086840773290783674096930914320091534983267012521330466227399113389220109675888683185217659685259<203>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 18:58:49 UTC 2022 年 1 月 23 日 (日) 3 時 58 分 49 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:02:18 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 18 秒 (日本時間)

5×10²³²-379

c228

name 名前	Dmitry Domanov
date 日付	February 15, 2022 22:11:49 UTC 2022 年 2 月 16 日 (水) 7 時 11 分 49 秒 (日本時間)
composite number 合成数	190030975048932976075100241339338312144879615377306500959656423997111529179256218763658476331642057655397829846264941185413222355243904756475305474792391159759040723637952986336772893981719020200292647701575356783155654371662581<228>
prime factors 素因数	694400772597829672217468840732317240664317<42>
composite cofactor 合成数の残り	273661813966603458115118223953085018779740378364659662759795408484510684359416591239706253224835804533334256330910148584151556583479073918981514090861851477644272235472380758460510658393<186>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1577933410 Step 1 took 56704ms Step 2 took 17740ms ********** Factor found in step 2: 694400772597829672217468840732317240664317 Found probable prime factor of 42 digits: 694400772597829672217468840732317240664317 Composite cofactor 273661813966603458115118223953085018779740378364659662759795408484510684359416591239706253224835804533334256330910148584151556583479073918981514090861851477644272235472380758460510658393 has 186 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 22, 2022 18:57:38 UTC 2022 年 1 月 23 日 (日) 3 時 57 分 38 秒 (日本時間)
45	11e6	2200 / 4213	1200	Dmitry Domanov	February 15, 2022 10:02:27 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 27 秒 (日本時間)
45	11e6	2200 / 4213	1000	Dmitry Domanov	February 21, 2022 16:12:54 UTC 2022 年 2 月 22 日 (火) 1 時 12 分 54 秒 (日本時間)

5×10²³³-379

c169

name 名前	Dmitry Domanov
date 日付	February 10, 2022 05:23:08 UTC 2022 年 2 月 10 日 (木) 14 時 23 分 8 秒 (日本時間)
composite number 合成数	3326158664355280041479263488744553874243638882504282798610924540556016391525292591485334748111178389558799130838345410732308386608197169721080210190164190127806572158231<169>
prime factors 素因数	75298016567717167890514893005142467131<38> 44173257357502798984490171763544066186246815852431488399120090098557179669115754104810042439654983795806629527383807716040072038101<131>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4288277432 Step 1 took 27042ms Step 2 took 12686ms ********** Factor found in step 2: 75298016567717167890514893005142467131 Found prime factor of 38 digits: 75298016567717167890514893005142467131 Prime cofactor 44173257357502798984490171763544066186246815852431488399120090098557179669115754104810042439654983795806629527383807716040072038101 has 131 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 16:25:59 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 59 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 9, 2022 15:33:37 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 37 秒 (日本時間)

5×10²³⁴-379

c226

composite cofactor 合成数の残り

3260532075339197472002536537449074279351739317304381582233770244305375578260661926029097855541859038466678188734914500322693229230282704205355039843066156890301964363955993002885124193780868292668580488136800214050018107527907<226>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 16:48:05 UTC 2022 年 1 月 23 日 (日) 1 時 48 分 5 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:02:39 UTC 2022 年 2 月 15 日 (火) 19 時 2 分 39 秒 (日本時間)

5×10²³⁵-379

c166

composite cofactor 合成数の残り	3668528079575091523108301853812229062781325615291158127303615494843884160715449338370954973406805729232629367081439680507592500971099245292561362031537805281350297807<166>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 22, 2022 16:25:50 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 50 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 9, 2022 15:33:47 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 47 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:13:04 UTC 2022 年 2 月 22 日 (火) 1 時 13 分 4 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:52:23 UTC 2022 年 3 月 1 日 (火) 15 時 52 分 23 秒 (日本時間)

5×10²³⁶-379

c165

composite cofactor 合成数の残り	853205675382725039672023544762423105493087053600175925682465777746766906860843231116143517678784839575393153943259912166370785521274139449225960588934281256018417527<165>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 22, 2022 16:25:39 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 39 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 9, 2022 15:33:55 UTC 2022 年 2 月 10 日 (木) 0 時 33 分 55 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:13:15 UTC 2022 年 2 月 22 日 (火) 1 時 13 分 15 秒 (日本時間)
50	43e6	1000 / 7016		Dmitry Domanov	March 1, 2022 06:52:23 UTC 2022 年 3 月 1 日 (火) 15 時 52 分 23 秒 (日本時間)

5×10²⁴⁰-379

c230

composite cofactor 合成数の残り

72317719698351124843635720273735635423854105614397949338028438633896171710298647665924035207589382283784998175182752415407119193717252366537009912022361906515721040500168423955544016511273398770735055102574390188073071224922079973<230>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 14:53:50 UTC 2022 年 1 月 22 日 (土) 23 時 53 分 50 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:03:08 UTC 2022 年 2 月 15 日 (火) 19 時 3 分 8 秒 (日本時間)

5×10²⁴¹-379

c240

composite cofactor 合成数の残り

370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370369<240>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 16:25:09 UTC 2022 年 1 月 23 日 (日) 1 時 25 分 9 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:03:53 UTC 2022 年 2 月 15 日 (火) 19 時 3 分 53 秒 (日本時間)

5×10²⁴²-379

c178

name 名前	Dmitry Domanov
date 日付	January 22, 2022 18:57:06 UTC 2022 年 1 月 23 日 (日) 3 時 57 分 6 秒 (日本時間)
composite number 合成数	1070301831945739807038056876038626690044830163338353942085429858697524315049560772874134367663827498621478931803203291817140012536002609053923025518267411690046809617656735009159<178>
prime factors 素因数	224766333362760735520268475502261<33> 4761842291649303167159980615171883391727807113776710743884683552550367213021952159895594660116792838026948053734467718176824319216447900850774219<145>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1029896255 Step 1 took 8989ms Step 2 took 4270ms ********** Factor found in step 2: 224766333362760735520268475502261 Found prime factor of 33 digits: 224766333362760735520268475502261 Prime cofactor 4761842291649303167159980615171883391727807113776710743884683552550367213021952159895594660116792838026948053734467718176824319216447900850774219 has 145 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 22, 2022 15:16:36 UTC 2022 年 1 月 23 日 (日) 0 時 16 分 36 秒 (日本時間)

5×10²⁴³-379

c241

composite cofactor 合成数の残り

5847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953<241>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 08:15:22 UTC 2022 年 1 月 22 日 (土) 17 時 15 分 22 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:03:54 UTC 2022 年 2 月 15 日 (火) 19 時 3 分 54 秒 (日本時間)

5×10²⁴⁴-379

c215

composite cofactor 合成数の残り

34114588648917783696439167119342465435517740587619894093819555695382204843942778700777933188729027085398516537653084256246218706455618281087257914350515367037204464315298397305457345590481699660665654549946204482053<215>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 14:52:42 UTC 2022 年 1 月 22 日 (土) 23 時 52 分 42 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:04:55 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 55 秒 (日本時間)

5×10²⁴⁷-379

c227

composite cofactor 合成数の残り

83176221362152622700261558618762211491769799189945694509020869704952228041586782923570632618863105692636937405818209831428467877430912851560863722382926955613792382114076352703969645758774506746339810922147771471319120806502829<227>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:16:34 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 34 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:04:42 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 42 秒 (日本時間)

5×10²⁴⁸-379

c244

composite cofactor 合成数の残り

1444314456143391539205915912012363331744587431575602640206825830119733668414287158600170429105824920201626298077617458873145861316925921111544405447954128572872885884714820110634487340583791903173158860147031211635397258691162239842858587171599<244>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 08:15:07 UTC 2022 年 1 月 22 日 (土) 17 時 15 分 7 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:04:48 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 48 秒 (日本時間)

5×10²⁴⁹-379

c224

composite cofactor 合成数の残り

16373790574027287959165593521711330159995786120653671527654624026649850194491628247745009809677046285595213617436045081053382514181203103138697328119193524909268112089121921697201676941011293845810063597279713313878650129923<224>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:16:23 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 23 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:04:58 UTC 2022 年 2 月 15 日 (火) 19 時 4 分 58 秒 (日本時間)

5×10²⁵⁰-379

c237

composite cofactor 合成数の残り

105121437452713813659224732598772985878206133836004524356367667117437681463680801744738447612395139372271997186593916756488971542289873597425817482976973467106021613251520353899559672544344911310440124581227710727987652304915195512843299<237>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:16:14 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 14 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:05:09 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 9 秒 (日本時間)

5×10²⁵¹-379

c242

composite cofactor 合成数の残り

12657435545508948988121864660895206923279745532009645886840688110360077236618474874410794903929676259187607330868561288653523014214532887846231623232745575276431237698473346967165988309951748188716258542928697716263091631309705814089492664209<242>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:16:08 UTC 2022 年 1 月 22 日 (土) 10 時 16 分 8 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:05:19 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 19 秒 (日本時間)

5×10²⁵²-379

c198

composite cofactor 合成数の残り

195639232486497804029344232388713299807370462503707390114224927257694293147676461594886093559691875446663190886211525093987450157538908158523380640595762388481210824841539770547276625280207118294773<198>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 23:03:57 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 57 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 9, 2022 15:31:43 UTC 2022 年 2 月 10 日 (木) 0 時 31 分 43 秒 (日本時間)

5×10²⁵⁴-379

c212

name 名前	Dmitry Domanov
date 日付	February 16, 2022 06:40:50 UTC 2022 年 2 月 16 日 (水) 15 時 40 分 50 秒 (日本時間)
composite number 合成数	66747482131537572171500680084645502908116362629775281414483929879316681551350060848048693623097297038009294987527000882354211507170776788508501525236826580096480853295839877163778879453892886991299118308204932273<212>
prime factors 素因数	33185540961806934873996223740564337219711456669<47> 2011342295379692603161816886618980355763029989035005891905634164757472158748262099577984691350663290078756594626277821070547224000229906759786485729053970641633358117<166>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1105949199 Step 1 took 39498ms Step 2 took 15889ms ********** Factor found in step 2: 33185540961806934873996223740564337219711456669 Found prime factor of 47 digits: 33185540961806934873996223740564337219711456669 Prime cofactor 2011342295379692603161816886618980355763029989035005891905634164757472158748262099577984691350663290078756594626277821070547224000229906759786485729053970641633358117 has 166 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:13:22 UTC 2022 年 1 月 22 日 (土) 10 時 13 分 22 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:05:42 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 42 秒 (日本時間)

5×10²⁵⁵-379

c213

composite cofactor 合成数の残り

196640391347740654290400907607180002745334814694915880474728178878900433113250234651408454607033892836810338507050371416258235719032059105723571276498581509558098011140237843054658263781613522226266285959893665603<213>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:13:13 UTC 2022 年 1 月 22 日 (土) 10 時 13 分 13 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:05:51 UTC 2022 年 2 月 15 日 (火) 19 時 5 分 51 秒 (日本時間)

5×10²⁵⁶-379

c227

composite cofactor 合成数の残り

18697365400320562232650751285272520023404324058696227617681372426757685074903776365018820308416217101966417058664474521159644344617832356558992425771851201991229915884845725546650319108368021121921749505844233717894626079823549<227>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:13:05 UTC 2022 年 1 月 22 日 (土) 10 時 13 分 5 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:06:02 UTC 2022 年 2 月 15 日 (火) 19 時 6 分 2 秒 (日本時間)

5×10²⁵⁷-379

c218

composite cofactor 合成数の残り

49712887538276420626583327300440834883118454050211451693741763352594522278497559966077405275738644825828282549951398875242598246425569283355240649338329729919787562538852805277757087071414129916018528490416209381477841<218>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 22, 2022 01:12:56 UTC 2022 年 1 月 22 日 (土) 10 時 12 分 56 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:06:14 UTC 2022 年 2 月 15 日 (火) 19 時 6 分 14 秒 (日本時間)

5×10²⁶⁰-379

c257

composite cofactor 合成数の残り

22356360384529398613905656159177285937849318131008271853342275877487145092778895595797004247708473060585736642074670243684328191370444891571652135032416722557567627990163201430807064609881511289961994187346300022356360384529398613905656159177285937849318131<257>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 13:15:05 UTC 2022 年 1 月 5 日 (水) 22 時 15 分 5 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:12:23 UTC 2022 年 2 月 14 日 (月) 17 時 12 分 23 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:35:28 UTC 2022 年 2 月 24 日 (木) 1 時 35 分 28 秒 (日本時間)

5×10²⁶¹-379

c175

composite cofactor 合成数の残り	8097539252839603759521814678850990306237429294242015274275160070746800074767425886957268742921848479099763592246439855411883734157456121641694993361511316329848283117907524053<175>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	December 31, 2021 14:09:38 UTC 2021 年 12 月 31 日 (金) 23 時 9 分 38 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 7, 2022 14:39:57 UTC 2022 年 1 月 7 日 (金) 23 時 39 分 57 秒 (日本時間)
50	43e6	1792 / 6453	Dmitry Domanov	May 15, 2024 17:02:32 UTC 2024 年 5 月 16 日 (木) 2 時 2 分 32 秒 (日本時間)

5×10²⁶³-379

c245

composite cofactor 合成数の残り

23192410766309101448952673269134638257251208347534661430432099092052198319104131716697448085047535739730566463864078303841306057753008542237190609184315863239814543634846965424851662930004850181192684424163536606115964635076993664946322105505877<245>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 23:03:38 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 38 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:14:48 UTC 2022 年 2 月 15 日 (火) 19 時 14 分 48 秒 (日本時間)

5×10²⁶⁵-379

c255

composite cofactor 合成数の残り

880245177710349113440484735541133884397992864206378912674839751416011928662243233776722608869960543751955818410814332902058000734807724517369933591216773693032687708995770809317004482834563296003056963338490167844147886551956863191420660869627725514950033<255>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:26:53 UTC 2022 年 1 月 5 日 (水) 9 時 26 分 53 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:12:12 UTC 2022 年 2 月 14 日 (月) 17 時 12 分 12 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:34:12 UTC 2022 年 2 月 24 日 (木) 1 時 34 分 12 秒 (日本時間)

5×10²⁶⁸-379

c242

composite cofactor 合成数の残り

63172454859777232578655021165492349762237669447105529731222591403986398781732691457575469990910201307091588361097695793060848403748997005841260001223689896605765599593212335495732483976010032446468410502345014741315166533793944134621009804929<242>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 23:03:30 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 30 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:15:32 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 32 秒 (日本時間)

5×10²⁶⁹-379

c252

composite cofactor 合成数の残り

327666041803159956493616661573410187774743715654287229658485589175406373970164889386551267140589211186532045592745439665771763751941266902089094352123119652607639562295325170097578182192708624180289872936090318158599401546103527768235555367512231364693<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:26:59 UTC 2022 年 1 月 5 日 (水) 9 時 26 分 59 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:12:00 UTC 2022 年 2 月 14 日 (月) 17 時 12 分 0 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:33:56 UTC 2022 年 2 月 24 日 (木) 1 時 33 分 56 秒 (日本時間)

5×10²⁷⁰-379

c265

name 名前	Dmitry Domanov
date 日付	January 5, 2022 19:15:12 UTC 2022 年 1 月 6 日 (木) 4 時 15 分 12 秒 (日本時間)
composite number 合成数	4116903594468528330472085335177706143655234025384827563492945685690878176705736081778173000522846756497503097969954837567568680244214721223873100563604102082741528441628482385827971066401538075182893442184264371081222391015269595431883771577720964508174112086817263<265>
prime factors 素因数	8364620282821471027731246275264074626799<40> 492180571893199568703341905174694519049167364368408710500699868692188447872920520719142901616775971878009041706233941819113397154987605157136504733096902545009367834866428408534839214999447255567706782249194477881357517614337<225>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=484789291 Step 1 took 20234ms Step 2 took 5987ms ********** Factor found in step 2: 8364620282821471027731246275264074626799 Found probable prime factor of 40 digits: 8364620282821471027731246275264074626799 Probable prime cofactor 492180571893199568703341905174694519049167364368408710500699868692188447872920520719142901616775971878009041706233941819113397154987605157136504733096902545009367834866428408534839214999447255567706782249194477881357517614337 has 225 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	January 5, 2022 00:27:04 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 4 秒 (日本時間)

5×10²⁷¹-379

c204

name 名前	Dmitry Domanov
date 日付	February 15, 2022 13:16:41 UTC 2022 年 2 月 15 日 (火) 22 時 16 分 41 秒 (日本時間)
composite number 合成数	567030157988151265567041209844139062395379617636350992490512905191751029746517144717587282365901852346516144718464442901213584885267297703595383844626614849148195662570972281108763435702390912188757112493<204>
prime factors 素因数	34866325871413754355301005870910734553<38>
composite cofactor 合成数の残り	16262974196918426695298936177015937999266039839764600398991134833668159598635039798866181488186353962848292033075325924324763592827179574368765118186318105514997972981<167>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1010439749 Step 1 took 32591ms Step 2 took 13455ms ********** Factor found in step 2: 34866325871413754355301005870910734553 Found prime factor of 38 digits: 34866325871413754355301005870910734553 Composite cofactor 16262974196918426695298936177015937999266039839764600398991134833668159598635039798866181488186353962848292033075325924324763592827179574368765118186318105514997972981 has 167 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 21, 2022 23:03:23 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 23 秒 (日本時間)
45	11e6	2200	1200	Dmitry Domanov	February 15, 2022 10:15:33 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 33 秒 (日本時間)
45	11e6	2200	1000	Dmitry Domanov	February 21, 2022 16:14:23 UTC 2022 年 2 月 22 日 (火) 1 時 14 分 23 秒 (日本時間)
50	43e6	2792 / 7016	1000	Dmitry Domanov	March 1, 2022 06:52:31 UTC 2022 年 3 月 1 日 (火) 15 時 52 分 31 秒 (日本時間)
50	43e6	2792 / 7016	1792	Dmitry Domanov	July 1, 2024 19:10:11 UTC 2024 年 7 月 2 日 (火) 4 時 10 分 11 秒 (日本時間)

5×10²⁷³-379

c266

name 名前	Dmitry Domanov
date 日付	February 24, 2022 21:07:16 UTC 2022 年 2 月 25 日 (金) 6 時 7 分 16 秒 (日本時間)
composite number 合成数	50363414847023897389981497992287648830815842497082573286449023183941846775051757222352915283750249235949224209512208670938189333502151499900557437384551314603481532214228037383554118989510459045906403723306823542660305364464168772235132883618256798318143979232545161<266>
prime factors 素因数	167866454226254707343747500911763583235529<42>
composite cofactor 合成数の残り	300020722300733157017597918363527225433208249609338063082185096859642488176564305552808935954135273414998385051183956473994437632612585657032721352166018859082679414733694764046026681719062728737006169060521401371745727452609<225>
factorization results 素因数分解の結果	Resuming ECM residue saved by @3ca80b1f5e32 with GMP-ECM 7.0.5-dev on Wed Feb 23 22:05:16 2022 Input number is 50363414847023897389981497992287648830815842497082573286449023183941846775051757222352915283750249235949224209512208670938189333502151499900557437384551314603481532214228037383554118989510 459045906403723306823542660305364464168772235132883618256798318143979232545161 (266 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3825556991 Step 1 took 0ms Step 2 took 15360ms ********** Factor found in step 2: 167866454226254707343747500911763583235529 Found prime factor of 42 digits: 167866454226254707343747500911763583235529 Composite cofactor 300020722300733157017597918363527225433208249609338063082185096859642488176564305552808935954135273414998385051183956473994437632612585657032721352166018859082679414733694764046026681719062728737006169060521401371745727452609 has 225 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:27:09 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 9 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:11:51 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 51 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:33:39 UTC 2022 年 2 月 24 日 (木) 1 時 33 分 39 秒 (日本時間)

5×10²⁷⁵-379

c235

composite cofactor 合成数の残り

1325805763858809728062630353676336805147055468611564503969857243831047259323063332693636529464762702737819089930242972866306548289122980379793193812299898600969838725315842440900891897705144329624252566197384692060626507628748615893133<235>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 23:03:14 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 14 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:15:52 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 52 秒 (日本時間)

5×10²⁷⁶-379

c262

composite cofactor 合成数の残り

1024460817966007860897962920286043586329034848337976741232525881683101430354515405046610619181907626355259544572013220631870428343197010617160542235827883693920009880176439643366098032306749794175275648404765957563957904149974541676258754188860752385855715672629<262>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:27:14 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 14 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:11:44 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 44 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:34:05 UTC 2022 年 2 月 24 日 (木) 1 時 34 分 5 秒 (日本時間)

5×10²⁷⁷-379

c221

name 名前	Dmitry Domanov
date 日付	January 22, 2022 08:20:53 UTC 2022 年 1 月 22 日 (土) 17 時 20 分 53 秒 (日本時間)
composite number 合成数	10153039731536061949241351008131185276549777831678887541825090986193781200152982789741129565684988262037792315285124930578906036426027881664922166378077600580344221306413934233927240201737443394145536675888477077962717749<221>
prime factors 素因数	638092272245182237094650811328361943<36>
composite cofactor 合成数の残り	15911554132777260012505504638633077663579517521557342219133018045774452668347064600030981922879573650560239305789503384826667093467850491032251335798556423348752239238883944158158239443<185>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=999511164 Step 1 took 14371ms Step 2 took 4607ms ********** Factor found in step 2: 638092272245182237094650811328361943 Found probable prime factor of 36 digits: 638092272245182237094650811328361943 Composite cofactor 15911554132777260012505504638633077663579517521557342219133018045774452668347064600030981922879573650560239305789503384826667093467850491032251335798556423348752239238883944158158239443 has 185 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	January 21, 2022 23:03:06 UTC 2022 年 1 月 22 日 (土) 8 時 3 分 6 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	January 23, 2022 23:28:32 UTC 2022 年 1 月 24 日 (月) 8 時 28 分 32 秒 (日本時間)
45	11e6	4480		Ignacio Santos	January 24, 2022 21:37:18 UTC 2022 年 1 月 25 日 (火) 6 時 37 分 18 秒 (日本時間)
50	43e6	1792 / 6415		Dmitry Domanov	April 16, 2024 05:43:04 UTC 2024 年 4 月 16 日 (火) 14 時 43 分 4 秒 (日本時間)

5×10²⁸⁰-379

c270

composite cofactor 合成数の残り

203261784909219046107293320516914343542953449531310481030022442675771007227767902223669558331281131719419601890215577684965686493189294130541510586462068819279919413936776943137142747249198907300800534338060011112674236922037836511675879277483490964968567158231290285433<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:27:20 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 20 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:11:34 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 34 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:32:25 UTC 2022 年 2 月 24 日 (木) 1 時 32 分 25 秒 (日本時間)

5×10²⁸¹-379

c249

name 名前	Dmitry Domanov
date 日付	January 22, 2022 01:12:01 UTC 2022 年 1 月 22 日 (土) 10 時 12 分 1 秒 (日本時間)
composite number 合成数	134968222554255881410787900306284005505062005734475829836555498919572274223124984942626580134165650194236819114514909954616891596131956140439840711862448380697548772596246259765423425557389961935198921519440560098429958863381849336711350167807996253<249>
prime factors 素因数	441651434121098656925787397111015609<36>
composite cofactor 合成数の残り	305598968161050410647094674066068487285784679205497535165352382811141576691411231995956657156814780614018603634199933126158983378545668493743653029095959279293830988942417795043616547945323881953560225715310130117<213>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3503650608 Step 1 took 13415ms Step 2 took 4827ms ********** Factor found in step 2: 441651434121098656925787397111015609 Found probable prime factor of 36 digits: 441651434121098656925787397111015609 Composite cofactor 305598968161050410647094674066068487285784679205497535165352382811141576691411231995956657156814780614018603634199933126158983378545668493743653029095959279293830988942417795043616547945323881953560225715310130117 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	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 20:13:03 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 3 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:16:02 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 2 秒 (日本時間)

5×10²⁸³-379

c263

composite cofactor 合成数の残り

19391166771614835788528879228700383068957137577931304069701235943101578195794140582115277724431941009977105228099004806248134356533066170844999222504757856979104246498949708594755853258494164381573630021069484955787858207234474788586791816276727156488136083803537<263>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:27:30 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 30 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:11:25 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 25 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:32:25 UTC 2022 年 2 月 24 日 (木) 1 時 32 分 25 秒 (日本時間)

5×10²⁸⁴-379

c267

composite cofactor 合成数の残り

254274998667447706961380036410744038278378235706126580851781511685252079345920053640517597326951452561633268310654596575095718619165575495879665792857745912811998957780045083806617853937528300608318560576696188405642571173953035856583195103652402834818859346951222383<267>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 5, 2022 00:27:25 UTC 2022 年 1 月 5 日 (水) 9 時 27 分 25 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:11:14 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 14 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:32:55 UTC 2022 年 2 月 24 日 (木) 1 時 32 分 55 秒 (日本時間)

5×10²⁸⁶-379

c244

composite cofactor 合成数の残り

5976856775814045352367094660351849256377314977391796012481586734342586039516203778834318028142104202683760608119302400203553038178431950104176902588939994419720017313448887956167883891992386700230912481924788430907688417804319275478217370312931<244>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 20:13:59 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 59 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:15:40 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 40 秒 (日本時間)

5×10²⁸⁷-379

c219

composite cofactor 合成数の残り

928952186767173781113405968801638446467919980622538498326906158685639563893994836789353282665696141169623562639590936346247620864550736888177446953307763229051531098176665588648114769735880187243483086486378240498885411<219>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 20:13:45 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 45 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:15:51 UTC 2022 年 2 月 15 日 (火) 19 時 15 分 51 秒 (日本時間)

5×10²⁸⁸-379

c221

name 名前	Dmitry Domanov
date 日付	January 22, 2022 19:43:22 UTC 2022 年 1 月 23 日 (日) 4 時 43 分 22 秒 (日本時間)
composite number 合成数	47595649595578992720249463099560547451280971203229943799255997450368453762748657425170896074179698970038054945390259921443256347754440614799522630677739028548687496250907182417458135498930996042054536105155559924586574933<221>
prime factors 素因数	692041817459314380742141554126358478681<39>
composite cofactor 合成数の残り	68775684351440473505736990216712047844197913680862371518411112143747522498551420146016103804546059036612039002133926899631088803225417342500560882976653211062996025950997791331129693<182>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3872125297 Step 1 took 14057ms Step 2 took 5681ms ********** Factor found in step 2: 692041817459314380742141554126358478681 Found probable prime factor of 39 digits: 692041817459314380742141554126358478681 Composite cofactor 68775684351440473505736990216712047844197913680862371518411112143747522498551420146016103804546059036612039002133926899631088803225417342500560882976653211062996025950997791331129693 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	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	January 21, 2022 20:13:33 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 33 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	January 23, 2022 23:17:22 UTC 2022 年 1 月 24 日 (月) 8 時 17 分 22 秒 (日本時間)
45	11e6	4480		Ignacio Santos	January 24, 2022 20:25:01 UTC 2022 年 1 月 25 日 (火) 5 時 25 分 1 秒 (日本時間)
50	43e6	1792 / 6415		Dmitry Domanov	April 23, 2024 07:20:55 UTC 2024 年 4 月 23 日 (火) 16 時 20 分 55 秒 (日本時間)

5×10²⁹⁰-379

c262

composite cofactor 合成数の残り

1315971197142972147918655268068999208502530230885846724232749566477434113734007611517664348556438753882458195939071604442872782652003933353627782336426636695253962530207407929310655270378491297444713521669961306003051621304985129445393046160595149726830456105069<262>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 4, 2022 19:48:10 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 10 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:11:07 UTC 2022 年 2 月 14 日 (月) 17 時 11 分 7 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:31:39 UTC 2022 年 2 月 24 日 (木) 1 時 31 分 39 秒 (日本時間)

5×10²⁹¹-379

c291

name 名前	ivelive
date 日付	December 30, 2021 00:02:15 UTC 2021 年 12 月 30 日 (木) 9 時 2 分 15 秒 (日本時間)
composite number 合成数	111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107<291>
prime factors 素因数	473520016647183714937859465583273247080389<42> 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463<249>
factorization results 素因数分解の結果	12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: normal 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t50.70 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, **************************** 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C291 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C291 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C291 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^291 - 37 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^291 - 37 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing snfs on c291: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111107 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.78 12/30/21 00:46:28 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17768 curves at B1=110000000 toward target pretesting depth of 69.64 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 473520016647183714937859465583273247080389 (curve 13 stg2 B1=110000000 sigma=3994218622 thread=1) 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, Finished 104 curves using Lenstra ECM method on C291 input, B1=110M, B2=gmp-ecm default 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^291 - 37 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing snfs on c249: 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.80 12/30/21 02:49:36 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17664 curves at B1=110000000 toward target pretesting depth of 59.59 12/30/21 02:49:37 v1.34.5 @ DESKTOP-RJPVCOL, prp249 = 234649238057235463342887094277487674180109783586800422169948127166455546532362827710998010205915978290213782663491006003322795940517405401118513177072936843685329818654045623634193632010409377847762508304276829661503021703580928763163103120419519463 12/30/21 02:49:37 v1.34.5 @ DESKTOP-RJPVCOL, Total factoring time = 7389.5972 seconds

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

5×10²⁹²-379

c291

composite cofactor 合成数の残り

123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123<291>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 4, 2022 19:48:16 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 16 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:10:55 UTC 2022 年 2 月 14 日 (月) 17 時 10 分 55 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:31:29 UTC 2022 年 2 月 24 日 (木) 1 時 31 分 29 秒 (日本時間)

5×10²⁹³-379

c262

name 名前	Dmitry Domanov
date 日付	February 15, 2022 14:42:50 UTC 2022 年 2 月 15 日 (火) 23 時 42 分 50 秒 (日本時間)
composite number 合成数	1175161170006551428140965566048102151779145927959784266232267885189088644809027468397771342130903302107388708776683579831202411782993811155011794082217475635840287330927284519863578394668302306442994574859459008257286874664457048589197214411314496833964876472857<262>
prime factors 素因数	41577592989002277946017094600338166655191<41>
composite cofactor 合成数の残り	28264290583569718430599665106335290396618866996355889889104345017623866366999033037166833595803287100224495081868240539279955763117343854403183431839356661020999198126550140917277751374111632496174509411499484025652739727<221>
factorization results 素因数分解の結果	Resuming ECM residue saved by @31e9ac48bfc2 with GMP-ECM 7.0.5-dev on Mon Feb 14 08:46:04 2022 Input number is 1175161170006551428140965566048102151779145927959784266232267885189088644809027468397771342130903302107388708776683579831202411782993811155011794082217475635840287330927284519863578394668302306442994574859459008257286874664457048589197214411314496833964876472857 (262 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2746547241 Step 1 took 0ms Step 2 took 16515ms ********** Factor found in step 2: 41577592989002277946017094600338166655191 Found prime factor of 41 digits: 41577592989002277946017094600338166655191 Composite cofactor 28264290583569718430599665106335290396618866996355889889104345017623866366999033037166833595803287100224495081868240539279955763117343854403183431839356661020999198126550140917277751374111632496174509411499484025652739727 has 221 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 4, 2022 18:37:42 UTC 2022 年 1 月 5 日 (水) 3 時 37 分 42 秒 (日本時間)
45	11e6	1800 / 4213	Dmitry Domanov	February 15, 2022 12:11:17 UTC 2022 年 2 月 15 日 (火) 21 時 11 分 17 秒 (日本時間)

5×10²⁹⁴-379

c281

composite cofactor 合成数の残り

11887894348491342301421337068934669842180978742897315617911488211241461012147785368814025791759775234456590219614796753107927160880419899786273528273645989146432733238181074439915241889529875790654509427865532229029941469683103056766160606522071372160945743236155588672580794440953<281>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 4, 2022 19:48:21 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 21 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 14, 2022 08:10:25 UTC 2022 年 2 月 14 日 (月) 17 時 10 分 25 秒 (日本時間)
45	11e6	3600 / 4213	1800	Dmitry Domanov	February 23, 2022 16:30:34 UTC 2022 年 2 月 24 日 (木) 1 時 30 分 34 秒 (日本時間)

5×10²⁹⁶-379

c223

name 名前	Dmitry Domanov
date 日付	February 16, 2022 23:06:46 UTC 2022 年 2 月 17 日 (木) 8 時 6 分 46 秒 (日本時間)
composite number 合成数	3427674666663615401878236568456617504839525738603079071328185025300348447618091222388113081385957604222643328954432163415297146802340666039273131900442701452617033595914323156752613887570003145357159274650354473393935432861<223>
prime factors 素因数	1538644758640556496644550051916936664409533<43>
composite cofactor 合成数の残り	2227723226829875448226366518914527026489202596315800661376751323785564996523569153228564285247430153716443601282580529316539001401000068935844266609925082827050576161430882899947617<181>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2283323138 Step 1 took 54286ms Step 2 took 17434ms ********** Factor found in step 2: 1538644758640556496644550051916936664409533 Found probable prime factor of 43 digits: 1538644758640556496644550051916936664409533 Composite cofactor 2227723226829875448226366518914527026489202596315800661376751323785564996523569153228564285247430153716443601282580529316539001401000068935844266609925082827050576161430882899947617 has 181 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	January 21, 2022 20:13:24 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 24 秒 (日本時間)
45	11e6	6680	1200	Dmitry Domanov	February 15, 2022 10:16:03 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 3 秒 (日本時間)
			1000	Dmitry Domanov	February 21, 2022 16:11:23 UTC 2022 年 2 月 22 日 (火) 1 時 11 分 23 秒 (日本時間)
			4480	Ignacio Santos	March 6, 2022 20:31:59 UTC 2022 年 3 月 7 日 (月) 5 時 31 分 59 秒 (日本時間)
50	43e6	1792 / 6010		Dmitry Domanov	April 27, 2024 11:24:37 UTC 2024 年 4 月 27 日 (土) 20 時 24 分 37 秒 (日本時間)

5×10²⁹⁷-379

c231

composite cofactor 合成数の残り

449358270909120872395129751323001276615804589136175447714002906866406239667601242888097942657214187141441000464212437885093312716093731684220444841303700360452450998099083283970121066517878895372522962263693611091741075735946132533<231>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 21, 2022 20:13:14 UTC 2022 年 1 月 22 日 (土) 5 時 13 分 14 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:16:12 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 12 秒 (日本時間)

5×10²⁹⁹-379

c269

name 名前	Dmitry Domanov
date 日付	January 5, 2022 13:18:47 UTC 2022 年 1 月 5 日 (水) 22 時 18 分 47 秒 (日本時間)
composite number 合成数	12132028032362288991770966575525688439791202141670624366012775275306198446184069081884942038607707208718921170888022085754221463360796915191497883305542590213285615004043309420353578293065958999195335983973626857232276127335910460259223332327740674340094268487688265319<269>
prime factors 素因数	403295882630089290848622100310740759378693<42>
composite cofactor 合成数の残り	30082201566858091398374464830093763907360167771273383801412809868273238378206637418849365104761545599190022115308965359151529025321407602098835479056855321538813048481844818488326412350709318399034133051232973280030150536226683<227>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2031127298 Step 1 took 18108ms Step 2 took 5626ms ********** Factor found in step 2: 403295882630089290848622100310740759378693 Found probable prime factor of 42 digits: 403295882630089290848622100310740759378693 Composite cofactor 30082201566858091398374464830093763907360167771273383801412809868273238378206637418849365104761545599190022115308965359151529025321407602098835479056855321538813048481844818488326412350709318399034133051232973280030150536226683 has 227 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	January 4, 2022 19:48:29 UTC 2022 年 1 月 5 日 (水) 4 時 48 分 29 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	February 15, 2022 10:16:26 UTC 2022 年 2 月 15 日 (火) 19 時 16 分 26 秒 (日本時間)

5×10³⁰⁰-379

c278

composite cofactor 合成数の残り

32157028491792506451020914947134128976432111349129990900245093580249657769977347507236082235051873438921565910380850127866101665662693944581900040089169579419520836033011052067887578466892076363918943854182138526616913865102772039404606318598734570874788077357039338268799607271<278>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	December 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	December 29, 2021 00:18:55 UTC 2021 年 12 月 29 日 (水) 9 時 18 分 55 秒 (日本時間)
45	11e6	3600	1800	Dmitry Domanov	December 31, 2021 09:23:05 UTC 2021 年 12 月 31 日 (金) 18 時 23 分 5 秒 (日本時間)
45	11e6	3600	1800	Dmitry Domanov	January 4, 2022 00:10:22 UTC 2022 年 1 月 4 日 (火) 9 時 10 分 22 秒 (日本時間)
50	43e6	200 / 6702		Dmitry Domanov	January 6, 2022 14:44:34 UTC 2022 年 1 月 6 日 (木) 23 時 44 分 34 秒 (日本時間)