Contributed factorization results of 55...5515

Table of contents 目次

5×10¹³⁹-739
- c136
- ECM
5×10¹⁴³-739
- c124
- ECM
5×10¹⁴⁵-739
- c127
- ECM
5×10¹⁴⁶-739
- c140
- ECM
5×10¹⁴⁸-739
- c117
- ECM
5×10¹⁵⁰-739
- c123
- ECM
5×10¹⁵³-739
- c128
- ECM
5×10¹⁵⁴-739
- c95
- ECM
5×10¹⁵⁵-739
- c131
- ECM
5×10¹⁵⁶-739
- c146
- ECM
5×10¹⁵⁹-739
- c149
- ECM
5×10¹⁶⁶-739
- c113
- ECM
5×10¹⁶⁷-739
- c92
- ECM
5×10¹⁶⁹-739
- c148
- ECM
5×10¹⁷²-739
- c144
- ECM
5×10¹⁷⁴-739
- c174
- ECM
5×10¹⁷⁶-739
- c107
- ECM
5×10¹⁷⁸-739
- c107
- ECM
5×10¹⁷⁹-739
- c171
- ECM
5×10¹⁸⁰-739
- c119
- ECM
5×10¹⁸¹-739
- c115
- ECM
5×10¹⁸⁴-739
- c142
- ECM
5×10¹⁸⁵-739
- c170
- ECM
5×10¹⁸⁶-739
- c157
- ECM
5×10¹⁸⁹-739
- c180
- c144
- ECM
5×10¹⁹⁰-739
- c160
- ECM
5×10¹⁹¹-739
- c190
- ECM
5×10¹⁹²-739
- c190
- ECM
5×10¹⁹³-739
- c148
- ECM
5×10¹⁹⁴-739
- c161
- ECM
5×10¹⁹⁶-739
- c134
- ECM
5×10¹⁹⁷-739
- c172
- ECM
5×10¹⁹⁸-739
- c193
- ECM
5×10¹⁹⁹-739
- c133
- ECM
5×10²⁰¹-739
- c178
- ECM
5×10²⁰²-739
- c193
- ECM
5×10²⁰³-739
- c140
- c105
- ECM
5×10²⁰⁴-739
- c182
- ECM
5×10²¹⁰-739
- c203
- ECM
5×10²¹²-739
- c154
- ECM
5×10²¹⁵-739
- c138
- ECM
5×10²¹⁶-739
- c205
- ECM
5×10²¹⁷-739
- c189
- ECM
5×10²¹⁹-739
- c162
- ECM
5×10²²⁰-739
- c188
- ECM
5×10²²²-739
- c219
- ECM
5×10²²³-739
- c198
- ECM
5×10²²⁴-739
- c223
- ECM
5×10²²⁵-739
- c221
- ECM
5×10²²⁶-739
- c186
- ECM
5×10²²⁷-739
- c226
- ECM
5×10²²⁸-739
- c200
- ECM
5×10²³⁰-739
- c187
- ECM
5×10²³¹-739
- c216
- ECM
5×10²³²-739
- c203
- ECM
5×10²³³-739
- c216
- ECM
5×10²³⁵-739
- c217
- ECM
5×10²³⁶-739
- c222
- ECM
5×10²³⁷-739
- c140
- ECM
5×10²³⁸-739
- c190
- c153
- ECM
5×10²³⁹-739
- c217
- ECM
5×10²⁴¹-739
- c200
- ECM
5×10²⁴²-739
- c232
- ECM
5×10²⁴³-739
- c238
- ECM
5×10²⁴⁵-739
- c219
- ECM
5×10²⁴⁷-739
- c236
- ECM
5×10²⁴⁸-739
- c233
- ECM
5×10²⁵⁰-739
- c248
- ECM
5×10²⁵¹-739
- c213
- ECM
5×10²⁵²-739
- c137
- ECM
5×10²⁵³-739
- c177
- ECM
5×10²⁵⁴-739
- c196
- ECM
5×10²⁵⁹-739
- c242
- ECM
5×10²⁶⁰-739
- c208
- ECM
5×10²⁶¹-739
- c230
- ECM
5×10²⁶³-739
- c177
- ECM
5×10²⁶⁷-739
- c256
- ECM
5×10²⁶⁸-739
- c233
- ECM
5×10²⁶⁹-739
- c251
- ECM
5×10²⁷⁰-739
- c243
- ECM
5×10²⁷²-739
- c271
- ECM
5×10²⁷³-739
- c227
- ECM
5×10²⁷⁵-739
- c246
- ECM
5×10²⁷⁶-739
- c192
- ECM
5×10²⁷⁷-739
- c238
- ECM
5×10²⁷⁸-739
- c277
- ECM
5×10²⁷⁹-739
- c173
- ECM
5×10²⁸⁰-739
- c268
- ECM
5×10²⁸¹-739
- c273
- ECM
5×10²⁸²-739
- c271
- ECM
5×10²⁸³-739
- c280
- ECM
5×10²⁸⁴-739
- c181
- ECM
5×10²⁸⁵-739
- c277
- ECM
5×10²⁸⁶-739
- c233
- ECM
5×10²⁸⁷-739
- c233
- ECM
5×10²⁸⁹-739
- c276
- c239
- ECM
5×10²⁹⁰-739
- c238
- ECM
5×10²⁹¹-739
- c222
- ECM
5×10²⁹²-739
- c233
- ECM
5×10²⁹³-739
- c234
- ECM
5×10²⁹⁵-739
- c263
- ECM
5×10²⁹⁶-739
- c275
- ECM
5×10²⁹⁷-739
- c226
- ECM
5×10²⁹⁸-739
- c263
- ECM
5×10²⁹⁹-739
- c269
- ECM
5×10³⁰⁰-739
- c291
- ECM

5×10¹³⁹-739

c136

name 名前	ebina
date 日付	December 29, 2021 02:37:48 UTC 2021 年 12 月 29 日 (水) 11 時 37 分 48 秒 (日本時間)
composite number 合成数	1541069502234550778240098628448143011249807366312220681152719987671443982123593774079210972414855910001541069502234550778240098628448143<136>
prime factors 素因数	3513792908663337681660475879631297793853999845883<49> 438577213368211962449358166720653393500410514357352813094150753404973787796104943876221<87>
factorization results 素因数分解の結果	3513792908663337681660475879631297793853999845883 * 438577213368211962449358166720653393500410514357352813094150753404973787796104943876221

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)

5×10¹⁴³-739

c124

name 名前	Ignacio Santos
date 日付	December 29, 2021 12:52:14 UTC 2021 年 12 月 29 日 (水) 21 時 52 分 14 秒 (日本時間)
composite number 合成数	1894978336027243700513507847939129784810702291998709790293255392932519314623663444344783236068591314185706675820999223541233<124>
prime factors 素因数	5210545657013541247884529704938305440810226607<46> 363681360986934156146364737982504367680785631303822199065761137708732260225119<78>
factorization results 素因数分解の結果	N=1894978336027243700513507847939129784810702291998709790293255392932519314623663444344783236068591314185706675820999223541233 ( 124 digits) SNFS difficulty: 143 digits. Divisors found: r1=5210545657013541247884529704938305440810226607 (pp46) r2=363681360986934156146364737982504367680785631303822199065761137708732260225119 (pp78) Version: Msieve v. 1.52 (SVN 927) Total time: 7.66 hours. Scaled time: 59.37 units (timescale=7.752). Factorization parameters were as follows: n: 1894978336027243700513507847939129784810702291998709790293255392932519314623663444344783236068591314185706675820999223541233 m: 500000000000000000000000000000000000 deg: 4 c4: 8 c0: -365 skew: 2.60 # Murphy_E = 2.669e-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, 1670001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 274668 x 274892 Total sieving time: 7.62 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.00 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: 7.66 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)

5×10¹⁴⁵-739

c127

name 名前	Ignacio Santos
date 日付	December 29, 2021 16:16:43 UTC 2021 年 12 月 30 日 (木) 1 時 16 分 43 秒 (日本時間)
composite number 合成数	1078581856498192533775265626969608419183259308953595258069847102150088358084542714854388045820489621700381871700605828427793629<127>
prime factors 素因数	525515083904563070158671970792649483119994209<45> 2052427969306528902387038206442566306209614965400528150724420645720409540190000381<82>
factorization results 素因数分解の結果	N=1078581856498192533775265626969608419183259308953595258069847102150088358084542714854388045820489621700381871700605828427793629 ( 127 digits) SNFS difficulty: 145 digits. Divisors found: r1=525515083904563070158671970792649483119994209 (pp45) r2=2052427969306528902387038206442566306209614965400528150724420645720409540190000381 (pp82) Version: Msieve v. 1.52 (SVN 927) Total time: 3.68 hours. Scaled time: 28.88 units (timescale=7.849). Factorization parameters were as follows: n: 1078581856498192533775265626969608419183259308953595258069847102150088358084542714854388045820489621700381871700605828427793629 m: 100000000000000000000000000000 deg: 5 c5: 1 c0: -73 skew: 2.36 # Murphy_E = 2.718e-09 type: snfs lss: 1 rlim: 1830000 alim: 1830000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 1830000/1830000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [915000, 1715001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 284396 x 284621 Total sieving time: 3.63 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,145.000,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000 total time: 3.68 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)

5×10¹⁴⁶-739

c140

name 名前	ebina
date 日付	December 29, 2021 02:46:10 UTC 2021 年 12 月 29 日 (水) 11 時 46 分 10 秒 (日本時間)
composite number 合成数	44831972010503234402620697755845977070239595508015732435617925795016567655256481470273488478855672880826307042519987213921582604477548372577<140>
prime factors 素因数	9336875141944479072626231278157585933609<40> 4801603462501332855430816543277310318915454004403122283413001625417778374144099600060456469060485753<100>
factorization results 素因数分解の結果	Wed Sep 21 15:27:41 2016 Msieve v. 1.50 (SVN Official Release) Wed Sep 21 15:27:41 2016 random seeds: cb3f39fc fddb0ee5 Wed Sep 21 15:27:41 2016 factoring 44831972010503234402620697755845977070239595508015732435617925795016567655256481470273488478855672880826307042519987213921582604477548372577 (140 digits) Wed Sep 21 15:27:41 2016 searching for 15-digit factors Wed Sep 21 15:27:42 2016 commencing number field sieve (140-digit input) Wed Sep 21 15:27:42 2016 R0: -100000000000000000000000000000 Wed Sep 21 15:27:42 2016 R1: 1 Wed Sep 21 15:27:42 2016 A0: -73 Wed Sep 21 15:27:42 2016 A1: 0 Wed Sep 21 15:27:42 2016 A2: 0 Wed Sep 21 15:27:42 2016 A3: 0 Wed Sep 21 15:27:42 2016 A4: 0 Wed Sep 21 15:27:42 2016 A5: 10 Wed Sep 21 15:27:42 2016 skew 1.49, size 2.887e-010, alpha 0.961, combined = 2.272e-009 rroots = 1 Wed Sep 21 15:27:42 2016 Wed Sep 21 15:27:42 2016 commencing square root phase Wed Sep 21 15:27:42 2016 reading relations for dependency 1 Wed Sep 21 15:27:42 2016 read 121152 cycles Wed Sep 21 15:27:42 2016 cycles contain 371042 unique relations Wed Sep 21 15:27:44 2016 read 371042 relations Wed Sep 21 15:27:46 2016 multiplying 371042 relations Wed Sep 21 15:27:55 2016 multiply complete, coefficients have about 8.74 million bits Wed Sep 21 15:27:55 2016 initial square root is modulo 106261 Wed Sep 21 15:28:07 2016 GCD is N, no factor found Wed Sep 21 15:28:07 2016 reading relations for dependency 2 Wed Sep 21 15:28:07 2016 read 120873 cycles Wed Sep 21 15:28:08 2016 cycles contain 370864 unique relations Wed Sep 21 15:28:10 2016 read 370864 relations Wed Sep 21 15:28:11 2016 multiplying 370864 relations Wed Sep 21 15:28:21 2016 multiply complete, coefficients have about 8.74 million bits Wed Sep 21 15:28:21 2016 initial square root is modulo 105691 Wed Sep 21 15:28:33 2016 GCD is 1, no factor found Wed Sep 21 15:28:33 2016 reading relations for dependency 3 Wed Sep 21 15:28:33 2016 read 120673 cycles Wed Sep 21 15:28:33 2016 cycles contain 369966 unique relations Wed Sep 21 15:28:35 2016 read 369966 relations Wed Sep 21 15:28:37 2016 multiplying 369966 relations Wed Sep 21 15:28:47 2016 multiply complete, coefficients have about 8.72 million bits Wed Sep 21 15:28:47 2016 initial square root is modulo 102701 Wed Sep 21 15:28:59 2016 sqrtTime: 77 Wed Sep 21 15:28:59 2016 prp40 factor: 9336875141944479072626231278157585933609 Wed Sep 21 15:28:59 2016 prp100 factor: 4801603462501332855430816543277310318915454004403122283413001625417778374144099600060456469060485753 Wed Sep 21 15:28:59 2016 elapsed time 00:01:18

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)

5×10¹⁴⁸-739

c117

name 名前	ebina
date 日付	December 29, 2021 03:03:24 UTC 2021 年 12 月 29 日 (水) 12 時 3 分 24 秒 (日本時間)
composite number 合成数	490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071<117>
prime factors 素因数	41063909903735567524888551508812981835742352536624341<53> 11946893125657302082500078055508411745485621781264304143872812531<65>
factorization results 素因数分解の結果	10/11/21 02:07:05 v1.34.5 nfs: commencing nfs on c117: 490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071 10/11/21 02:07:05 v1.34.5 nfs: input divides 10^148 - 73 10/11/21 02:07:05 v1.34.5 nfs: using supplied cofactor: 490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071 10/11/21 02:07:05 v1.34.5 nfs: commencing snfs on c117: 490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071 10/11/21 02:07:06 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:11:30 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:15:59 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:20:20 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:24:13 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:28:00 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:32:21 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:36:49 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:40:41 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:45:02 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:49:26 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:53:20 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 02:57:01 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:00:45 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:05:17 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:09:05 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:13:35 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:17:25 v1.34.5 nfs: commencing msieve filtering 10/11/21 03:19:26 v1.34.5 nfs: raising min_rels by 5.00 percent to 4802556 10/11/21 03:19:26 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:23:30 v1.34.5 nfs: commencing msieve filtering 10/11/21 03:25:40 v1.34.5 nfs: raising min_rels by 5.00 percent to 5090117 10/11/21 03:25:40 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:30:42 v1.34.5 nfs: commencing msieve filtering 10/11/21 03:32:55 v1.34.5 nfs: raising min_rels by 5.00 percent to 5375498 10/11/21 03:32:55 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:38:05 v1.34.5 nfs: commencing msieve filtering 10/11/21 03:40:25 v1.34.5 nfs: raising min_rels by 5.00 percent to 5665650 10/11/21 03:40:25 v1.34.5 nfs: commencing lattice sieving with 8 threads 10/11/21 03:45:29 v1.34.5 nfs: commencing msieve filtering 10/11/21 03:48:26 v1.34.5 nfs: commencing msieve linear algebra 10/11/21 04:02:05 v1.34.5 nfs: commencing msieve sqrt 10/11/21 04:03:05 v1.34.5 prp53 = 41063909903735567524888551508812981835742352536624341 10/11/21 04:03:05 v1.34.5 prp65 = 11946893125657302082500078055508411745485621781264304143872812531 10/11/21 04:03:05 v1.34.5 NFS elapsed time = 6960.4469 seconds.
execution environment 実行環境	core i7 4790s

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)

5×10¹⁵⁰-739

c123

name 名前	Ignacio Santos
date 日付	December 30, 2021 09:26:33 UTC 2021 年 12 月 30 日 (木) 18 時 26 分 33 秒 (日本時間)
composite number 合成数	363934969271880764585265148519137592037754546993786114160554759576362836846989457714760916214747163079345111874837197707023<123>
prime factors 素因数	82527924165042515981363775462749632351<38> 4409840341362150580338598173682947187030212090421106814924171014103773099212687355473<85>
factorization results 素因数分解の結果	N=363934969271880764585265148519137592037754546993786114160554759576362836846989457714760916214747163079345111874837197707023 ( 123 digits) SNFS difficulty: 150 digits. Divisors found: r1=82527924165042515981363775462749632351 (pp38) r2=4409840341362150580338598173682947187030212090421106814924171014103773099212687355473 (pp85) Version: Msieve v. 1.52 (SVN 927) Total time: 6.49 hours. Scaled time: 51.11 units (timescale=7.880). Factorization parameters were as follows: n: 363934969271880764585265148519137592037754546993786114160554759576362836846989457714760916214747163079345111874837197707023 m: 1000000000000000000000000000000 deg: 5 c5: 1 c0: -73 skew: 2.36 # Murphy_E = 1.761e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1100000, 1600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 356584 x 356812 Total sieving time: 6.43 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,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000 total time: 6.49 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)

5×10¹⁵³-739

c128

name 名前	Bob Backstrom
date 日付	December 29, 2021 23:14:14 UTC 2021 年 12 月 30 日 (木) 8 時 14 分 14 秒 (日本時間)
composite number 合成数	10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827<128>
prime factors 素因数	242697971297185497019527534431731704935108017568923391<54> 43015046082550379505164228411671926042825580632979463484510975803570359997<74>
factorization results 素因数分解の結果	CADO STA:Thu 30 Dec 2021 04:18:56 AEDT (10,439,664,419,489,923,460,543,957,611,533,702,980,981,781,591,898,863,164,725,467,028,294,209,225,455,888,744,093,033,681,595,429,800,778,566,075,656,995,065,583,989,827 - C128) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827 2>&1 \| tee -a log128 Debug:root: Looking for parameter file for c128 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.c130 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.bj5oeajq Info:Database: Opened connection to database /tmp/cado.bj5oeajq/c130.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 1043966441948992346054395761153370298098178159189886316472546702829420922545588874409 3033681595429800778566075656995065583989827 Debug:root: Root parameter dictionary: N = 10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827 lim0 = 11872741 lim1 = 45278470 lpb0 = 27 lpb1 = 28 name = c130 ... n: 10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827 skew: 34843.711 c0: 99389899353616180049391597496 c1: 13013678701868851708320911 c2: -606394214217264664938 c3: -8571827818172471 c4: 285894633962 c5: 1580040 Y0: 32917238492234023144170 Y1: 84116138185037381501 # MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.16e-09 # f(x) = 1580040x^5+285894633962x^4-8571827818172471x^3-606394214217264664938x^2+13013678701868851708320911x+99389899353616180049391597496 # g(x) = 84116138185037381501x+32917238492234023144170 ... Info:Square Root: finished Info:Square Root: Factors: 242697971297185497019527534431731704935108017568923391 43015046082550379505164228411671926042825580632979463484510975803570359997 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 1715.81/236.777 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 38210.8 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38585/37.750/45.312/50.110/0.871 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38585/36.810/40.663/46.080/1.012 Info:Polynomial Selection (size optimized): Total time: 5825.71 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1854.61 Info:Polynomial Selection (root optimized): Rootsieve time: 1853.69 Info:Generate Factor Base: Total cpu/real time for makefb: 60.25/5.44591 Info:Generate Free Relations: Total cpu/real time for freerel: 303.19/20.3005 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 19270627 Info:Lattice Sieving: Average J: 7586.6 for 70543 special-q, max bucket fill: 0.64881 Info:Lattice Sieving: Total CPU time: 227749s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.49/69.1107 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 69.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 330.15/102.694 Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.9/83.2426 Info:Filtering - Merging: Total cpu/real time for merge: 937.94/830.197 Info:Filtering - Merging: Total cpu/real time for replay: 63.06/50.5749 Info:Linear Algebra: Total cpu/real time for bwc: 56784.7/0.00016427 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 2489.8 Info:Linear Algebra: Lingen CPU time 363.68, WCT time 35.68 Info:Linear Algebra: Mksol: WCT time 1387.28 Info:Quadratic Characters: Total cpu/real time for characters: 57.82/13.8609 Info:Square Root: Total cpu/real time for sqrt: 1715.81/236.777 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 295929/21115.7 Info:root: Cleaning up computation data in /tmp/cado.bj5oeajq 242697971297185497019527534431731704935108017568923391 43015046082550379505164228411671926042825580632979463484510975803570359997 END:Thu 30 Dec 2021 10:10:53 AEDT (10,439,664,419,489,923,460,543,957,611,533,702,980,981,781,591,898,863,164,725,467,028,294,209,225,455,888,744,093,033,681,595,429,800,778,566,075,656,995,065,583,989,827 - C128)

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)

5×10¹⁵⁴-739

c95

name 名前	Ignacio Santos
date 日付	December 28, 2021 19:58:46 UTC 2021 年 12 月 29 日 (水) 4 時 58 分 46 秒 (日本時間)
composite number 合成数	27581682058919565747574210667375397956427620727606836753976427892006062211562335111721970448341<95>
prime factors 素因数	690297360893701679576672189462449<33> 39956232808438689925043346329022753754997473991459279957028709<62>
factorization results 素因数分解の結果	prp33 = 690297360893701679576672189462449 prp62 = 39956232808438689925043346329022753754997473991459279957028709
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)

5×10¹⁵⁵-739

c131

name 名前	Ignacio Santos
date 日付	January 1, 2022 12:43:57 UTC 2022 年 1 月 1 日 (土) 21 時 43 分 57 秒 (日本時間)
composite number 合成数	54024193075516106175799152433450888617223971319340428694033391695510270654093921333432163659759354350367320886967998351255025015487<131>
prime factors 素因数	12642754506743496451433107124881992097391134449587<50> 4273134707052979431206366926046818762717730214013291258314045788969748457662165701<82>
factorization results 素因数分解の結果	N=54024193075516106175799152433450888617223971319340428694033391695510270654093921333432163659759354350367320886967998351255025015487 ( 131 digits) SNFS difficulty: 155 digits. Divisors found: r1=12642754506743496451433107124881992097391134449587 (pp50) r2=4273134707052979431206366926046818762717730214013291258314045788969748457662165701 (pp82) Version: Msieve v. 1.52 (SVN 927) Total time: 9.32 hours. Scaled time: 72.39 units (timescale=7.770). Factorization parameters were as follows: n: 54024193075516106175799152433450888617223971319340428694033391695510270654093921333432163659759354350367320886967998351255025015487 m: 10000000000000000000000000000000 deg: 5 c5: 1 c0: -73 skew: 2.36 # Murphy_E = 1.135e-09 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, 2050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 448562 x 448788 Total sieving time: 9.23 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000 total time: 9.32 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)

5×10¹⁵⁶-739

c146

name 名前	ebina
date 日付	December 29, 2021 03:13:39 UTC 2021 年 12 月 29 日 (水) 12 時 13 分 39 秒 (日本時間)
composite number 合成数	39960857478543679228793672425068068342590878767987410094004361101566989783722544031063523968543235139388819046520994043341915019786431363883615793<146>
prime factors 素因数	951686201336283640090657328822248234302186671463896741027<57> 41989531236697301675824911428894655467756966257100109141806849054480583824425900528677659<89>
factorization results 素因数分解の結果	01/25/17 12:15:28 v1.34.5 nfs: commencing snfs on c146: 39960857478543679228793672425068068342590878767987410094004361101566989783722544031063523968543235139388819046520994043341915019786431363883615793 01/25/17 12:15:28 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:21:42 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:28:04 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:34:17 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:40:42 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:46:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:53:17 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 12:59:31 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:05:24 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:11:17 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:17:15 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:23:04 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:28:54 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:34:51 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:40:46 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:46:30 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:52:26 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 13:58:16 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 14:04:06 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 14:10:05 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 14:15:42 v1.34.5 nfs: commencing lattice sieving with 4 threads 01/25/17 14:21:05 v1.34.5 nfs: commencing msieve filtering 01/25/17 14:24:30 v1.34.5 nfs: commencing msieve linear algebra 01/25/17 14:44:35 v1.34.5 nfs: commencing msieve sqrt 01/25/17 14:51:25 v1.34.5 prp89 = 41989531236697301675824911428894655467756966257100109141806849054480583824425900528677659 01/25/17 14:51:25 v1.34.5 prp57 = 951686201336283640090657328822248234302186671463896741027 01/25/17 14:51:25 v1.34.5 NFS elapsed time = 9357.3100 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)

5×10¹⁵⁹-739

c149

name 名前	Ignacio Santos
date 日付	January 3, 2022 12:26:10 UTC 2022 年 1 月 3 日 (月) 21 時 26 分 10 秒 (日本時間)
composite number 合成数	19267119663242428055357447322257561736122969625879493771204104978190609618797483991379591405762728206640522256150157574809697927417285326466029090599<149>
prime factors 素因数	26575654196096183549763329182836031048697<41> 724991359425223904763220588717527792418147544305668823178033353892755128104857412421883629586547640146420767<108>
factorization results 素因数分解の結果	N=19267119663242428055357447322257561736122969625879493771204104978190609618797483991379591405762728206640522256150157574809697927417285326466029090599 ( 149 digits) SNFS difficulty: 159 digits. Divisors found: r1=26575654196096183549763329182836031048697 (pp41) r2=724991359425223904763220588717527792418147544305668823178033353892755128104857412421883629586547640146420767 (pp108) Version: Msieve v. 1.52 (SVN 927) Total time: 14.67 hours. Scaled time: 114.41 units (timescale=7.800). Factorization parameters were as follows: n: 19267119663242428055357447322257561736122969625879493771204104978190609618797483991379591405762728206640522256150157574809697927417285326466029090599 m: 50000000000000000000000000000000 deg: 5 c5: 16 c0: -365 skew: 1.87 # Murphy_E = 5.929e-10 type: snfs lss: 1 rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1600000, 2800001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 547107 x 547332 Total sieving time: 14.55 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.08 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000 total time: 14.67 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)

5×10¹⁶⁶-739

c113

name 名前	Bob Backstrom
date 日付	December 30, 2021 12:53:27 UTC 2021 年 12 月 30 日 (木) 21 時 53 分 27 秒 (日本時間)
composite number 合成数	38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069<113>
prime factors 素因数	3162997522967594707241823394191202905311007671<46> 12068699281052738510972913422240582406835041446141188495471805323939<68>
factorization results 素因数分解の結果	CADO STA:Thu 30 Dec 2021 22:43:31 AEDT (38,173,265,931,410,603,009,161,123,958,357,057,773,965,404,857,100,137,175,997,191,256,644,241,899,835,479,387,454,829,923,646,283,062,758,668,936,069 - C113) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069 2>&1 \| tee -a log131 Debug:root: Looking for parameter file for c113 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.c115 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.y_7ao87c Info:Database: Opened connection to database /tmp/cado.y_7ao87c/c115.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 3817326593141060300916112395835705777396540485710013717599719125664424189983547938745 4829923646283062758668936069 Debug:root: Root parameter dictionary: N = 38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069 lim0 = 5484593 lim1 = 2800829 lpb0 = 26 lpb1 = 26 name = c115 ... n: 38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069 skew: 1258458.329 c0: 301134907715670866449553298705 c1: -1661305805499345217878043 c2: -9102168919815917 c3: 1254102732471 c4: 172260 Y0: -685916433064833482174848852 Y1: 106369921629401261 # MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.96e-09 # f(x) = 172260x^4+1254102732471x^3-9102168919815917x^2-1661305805499345217878043x+301134907715670866449553298705 # g(x) = 106369921629401261*x-685916433064833482174848852 ... Info:Square Root: finished Info:Square Root: Factors: 3162997522967594707241823394191202905311007671 12068699281052738510972913422240582406835041446141188495471805323939 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 255.38/37.0131 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 55681.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56232/38.230/42.996/48.970/0.652 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56232/37.060/42.151/44.010/1.022 Info:Polynomial Selection (size optimized): Total time: 1115.95 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 147.7 Info:Polynomial Selection (root optimized): Rootsieve time: 147 Info:Generate Factor Base: Total cpu/real time for makefb: 2.84/0.289623 Info:Generate Free Relations: Total cpu/real time for freerel: 53.09/3.42076 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6782443 Info:Lattice Sieving: Average J: 4096 for 56880 special-q, max bucket fill: 0.650973 Info:Lattice Sieving: Total CPU time: 51191.6s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.34/19.2413 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 88.83/26.7871 Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.12/30.7041 Info:Filtering - Merging: Total cpu/real time for merge: 110.38/87.2742 Info:Filtering - Merging: Total cpu/real time for replay: 11.48/8.85752 Info:Linear Algebra: Total cpu/real time for bwc: 3061.08/0.000349283 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 121.35 Info:Linear Algebra: Lingen CPU time 74.08, WCT time 7.56 Info:Linear Algebra: Mksol: WCT time 73.08 Info:Quadratic Characters: Total cpu/real time for characters: 13.13/3.00252 Info:Square Root: Total cpu/real time for sqrt: 255.38/37.0131 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 56148.9/3906.93 Info:root: Cleaning up computation data in /tmp/cado.y_7ao87c 3162997522967594707241823394191202905311007671 12068699281052738510972913422240582406835041446141188495471805323939 END:Thu 30 Dec 2021 23:48:38 AEDT (38,173,265,931,410,603,009,161,123,958,357,057,773,965,404,857,100,137,175,997,191,256,644,241,899,835,479,387,454,829,923,646,283,062,758,668,936,069 - C113)

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 21:07:47 UTC 2021 年 12 月 30 日 (木) 6 時 7 分 47 秒 (日本時間)

5×10¹⁶⁷-739

c92

name 名前	Ignacio Santos
date 日付	December 28, 2021 19:54:43 UTC 2021 年 12 月 29 日 (水) 4 時 54 分 43 秒 (日本時間)
composite number 合成数	22203888869427135156907665561806268204885146675068148025315894443942979112882444100972069177<92>
prime factors 素因数	1822727702054622745377041283502675246090313599<46> 12181681797230806696673219575295902033994103623<47>
factorization results 素因数分解の結果	prp46 = 1822727702054622745377041283502675246090313599 prp47 = 12181681797230806696673219575295902033994103623
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)

5×10¹⁶⁹-739

c148

name 名前	Bob Backstrom
date 日付	January 7, 2022 01:46:39 UTC 2022 年 1 月 7 日 (金) 10 時 46 分 39 秒 (日本時間)
composite number 合成数	1192321612627661722770600346028306206576576967942740813337189103642914817392183361707217272905202182269183698534647054596880300432684378808478650261<148>
prime factors 素因数	13902426613088683824330841380756166679871016717829<50> 85763560981874170760242114499745138549981879011706486765663406115691962085324983075604583687856209<98>
factorization results 素因数分解の結果	Number: n N=1192321612627661722770600346028306206576576967942740813337189103642914817392183361707217272905202182269183698534647054596880300432684378808478650261 ( 148 digits) SNFS difficulty: 169 digits. Divisors found: Fri Jan 7 12:42:18 2022 p50 factor: 13902426613088683824330841380756166679871016717829 Fri Jan 7 12:42:18 2022 p98 factor: 85763560981874170760242114499745138549981879011706486765663406115691962085324983075604583687856209 Fri Jan 7 12:42:18 2022 elapsed time 00:11:20 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.300). Factorization parameters were as follows: # # N = 10^169-73 = 5(167)15 # n: 1192321612627661722770600346028306206576576967942740813337189103642914817392183361707217272905202182269183698534647054596880300432684378808478650261 m: 5000000000000000000000000000000000 deg: 5 c5: 16 c0: -365 skew: 1.87 # Murphy_E = 2.409e-10 type: snfs lss: 1 rlim: 4700000 alim: 4700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3031142 hash collisions in 22213572 relations (19960337 unique) Msieve: matrix is 556906 x 557132 (186.2 MB) Sieving start time : 2022/01/07 11:28:06 Sieving end time : 2022/01/07 12:30:30 Total sieving time: 1hrs 2min 24secs. Total relation processing time: 0hrs 4min 33sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 51sec. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000 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 10:09:10 UTC 2022 年 1 月 5 日 (水) 19 時 9 分 10 秒 (日本時間)

5×10¹⁷²-739

c144

name 名前	Bob Backstrom
date 日付	January 7, 2022 03:17:05 UTC 2022 年 1 月 7 日 (金) 12 時 17 分 5 秒 (日本時間)
composite number 合成数	502091258110206242663581644619018285867095615896928104363743443811909655928802333040467877831778791275864070825534744407330052225055817382332403<144>
prime factors 素因数	8844760205016268692398266473103817865817<40> 1634391098746381707921091677038470834581248131<46> 34732865020637385070361639191398184402547040949081266924089<59>
factorization results 素因数分解の結果	Number: n N=502091258110206242663581644619018285867095615896928104363743443811909655928802333040467877831778791275864070825534744407330052225055817382332403 ( 144 digits) SNFS difficulty: 172 digits. Divisors found: Fri Jan 7 14:12:12 2022 found factor: 34732865020637385070361639191398184402547040949081266924089 Fri Jan 7 14:12:43 2022 p40 factor: 8844760205016268692398266473103817865817 Fri Jan 7 14:12:43 2022 p46 factor: 1634391098746381707921091677038470834581248131 Fri Jan 7 14:12:43 2022 p59 factor: 34732865020637385070361639191398184402547040949081266924089 Fri Jan 7 14:12:43 2022 elapsed time 00:12:45 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.302). Factorization parameters were as follows: # # N = 10^172-73 = 5(170)15 # n: 502091258110206242663581644619018285867095615896928104363743443811909655928802333040467877831778791275864070825534744407330052225055817382332403 m: 10000000000000000000000000000000000 deg: 5 c5: 100 c0: -73 skew: 0.94 # Murphy_E = 1.947e-10 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3044224 hash collisions in 21218888 relations (18864765 unique) Msieve: matrix is 640648 x 640873 (215.2 MB) Sieving start time : 2022/01/07 12:44:17 Sieving end time : 2022/01/07 13:59:30 Total sieving time: 1hrs 15min 13secs. Total relation processing time: 0hrs 6min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 34sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000 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 4, 2022 17:37:56 UTC 2022 年 1 月 5 日 (水) 2 時 37 分 56 秒 (日本時間)

5×10¹⁷⁴-739

c174

name 名前	Bob Backstrom
date 日付	January 3, 2022 20:55:31 UTC 2022 年 1 月 4 日 (火) 5 時 55 分 31 秒 (日本時間)
composite number 合成数	111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111103<174>
prime factors 素因数	1282922164841570346333241269370298956075788800275993642060351354046689<70> 86607834953753691212952197730405367866944036445925568773914731766989464590995993402847642990081925754527<104>
factorization results 素因数分解の結果	Number: n N=111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111103 ( 174 digits) SNFS difficulty: 174 digits. Divisors found: Tue Jan 4 07:32:34 2022 p70 factor: 1282922164841570346333241269370298956075788800275993642060351354046689 Tue Jan 4 07:32:34 2022 p104 factor: 86607834953753691212952197730405367866944036445925568773914731766989464590995993402847642990081925754527 Tue Jan 4 07:32:34 2022 elapsed time 00:13:40 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 10^174-73 = 5(172)15 # n: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111103 m: 50000000000000000000000000000000000 deg: 5 c5: 16 c0: -365 skew: 1.87 # Murphy_E = 1.524e-10 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 22850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2870356 hash collisions in 20585468 relations (18398410 unique) Msieve: matrix is 748905 x 749130 (251.3 MB) Sieving start time : 2022/01/04 04:45:14 Sieving end time : 2022/01/04 07:18:04 Total sieving time: 2hrs 32min 50secs. Total relation processing time: 0hrs 8min 13sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 37sec. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000 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)

5×10¹⁷⁶-739

c107

name 名前	Ignacio Santos
date 日付	December 29, 2021 14:16:13 UTC 2021 年 12 月 29 日 (水) 23 時 16 分 13 秒 (日本時間)
composite number 合成数	13570075010736803082609885831053385978758951308395191011282027077257154868946029200749025128547053186573893<107>
prime factors 素因数	1679844328425801526069393795840897<34> 8078174138584289226201670296660503072100842907211107952898417467473616069<73>
factorization results 素因数分解の結果	prp73 = 8078174138584289226201670296660503072100842907211107952898417467473616069 prp34 = 1679844328425801526069393795840897
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)

5×10¹⁷⁸-739

c107

name 名前	Bob Backstrom
date 日付	December 30, 2021 10:42:56 UTC 2021 年 12 月 30 日 (木) 19 時 42 分 56 秒 (日本時間)
composite number 合成数	29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587<107>
prime factors 素因数	770206609670988956595726051362890489081596977<45> 38675118032378174412743926125765397384089707886659100656026931<62>
factorization results 素因数分解の結果	CADO STA:Thu 30 Dec 2021 21:09:53 AEDT (29,787,831,538,343,323,014,812,046,524,487,606,814,757,042,602,125,874,232,969,561,327,301,799,309,202,774,628,009,756,030,829,773,400,187,587 - C107) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587 2>&1 \| tee -a log129 Debug:root: Looking for parameter file for c107 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.c105 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.q9flqksy Info:Database: Opened connection to database /tmp/cado.q9flqksy/c105.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 2978783153834332301481204652448760681475704260212587423296956132730179930920277462800 9756030829773400187587 Debug:root: Root parameter dictionary: N = 29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587 lim0 = 823116 lim1 = 1218966 lpb0 = 24 lpb1 = 24 name = c105 ... n: 29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587 skew: 2819050.843 c0: 177618910249768030735411363888 c1: -201987749819149268028834 c2: -99732949587780331 c3: -33950132256 c4: 5040 Y0: -49306751405144415235155813 Y1: 289994868526357 # MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 3.06e-09 # f(x) = 5040x^4-33950132256x^3-99732949587780331x^2-201987749819149268028834x+177618910249768030735411363888 # g(x) = 289994868526357*x-49306751405144415235155813 ... Info:Square Root: finished Info:Square Root: Factors: 770206609670988956595726051362890489081596977 38675118032378174412743926125765397384089707886659100656026931 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 11429.5 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11761/35.580/40.538/43.150/0.669 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11761/33.950/39.440/41.370/1.017 Info:Polynomial Selection (size optimized): Total time: 231.42 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 80.84 Info:Polynomial Selection (root optimized): Rootsieve time: 80.49 Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/0.132184 Info:Generate Free Relations: Total cpu/real time for freerel: 12.86/0.859853 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2230214 Info:Lattice Sieving: Average J: 1024 for 300129 special-q, max bucket fill: 0.824219 Info:Lattice Sieving: Total CPU time: 20647.7s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.19/5.58212 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.099999999999999s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 36.56/19.1581 Info:Filtering - Singleton removal: Total cpu/real time for purge: 28.67/17.0608 Info:Filtering - Merging: Total cpu/real time for merge: 93.24/71.9999 Info:Filtering - Merging: Total cpu/real time for replay: 9.63/7.47627 Info:Linear Algebra: Total cpu/real time for bwc: 1972.21/0.000316381 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 77.82 Info:Linear Algebra: Lingen CPU time 56.84, WCT time 5.87 Info:Linear Algebra: Mksol: WCT time 47.29 Info:Quadratic Characters: Total cpu/real time for characters: 9.05/2.12433 Info:Square Root: Total cpu/real time for sqrt: 140.26/21.2724 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 23269.8/1757.11 Info:root: Cleaning up computation data in /tmp/cado.q9flqksy 770206609670988956595726051362890489081596977 38675118032378174412743926125765397384089707886659100656026931 END:Thu 30 Dec 2021 21:39:11 AEDT (29,787,831,538,343,323,014,812,046,524,487,606,814,757,042,602,125,874,232,969,561,327,301,799,309,202,774,628,009,756,030,829,773,400,187,587 - C107)

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 21:07:35 UTC 2021 年 12 月 30 日 (木) 6 時 7 分 35 秒 (日本時間)

5×10¹⁷⁹-739

c171

name 名前	Bob Backstrom
date 日付	January 15, 2022 16:07:34 UTC 2022 年 1 月 16 日 (日) 1 時 7 分 34 秒 (日本時間)
composite number 合成数	210038077193904059004535161066197723893391233605905837212101253921229743368609039363780045529491909552756281483276886965334973377852248038275339625322189746344764577970523<171>
prime factors 素因数	90984528544593902126339796376384140491590905780050720589593<59> 2308503220863082148247069208818834563292919481784014981380439857708711611481720211947200890864351717336348645011<112>
factorization results 素因数分解の結果	Number: n N=210038077193904059004535161066197723893391233605905837212101253921229743368609039363780045529491909552756281483276886965334973377852248038275339625322189746344764577970523 ( 171 digits) SNFS difficulty: 179 digits. Divisors found: Sun Jan 16 03:02:23 2022 p59 factor: 90984528544593902126339796376384140491590905780050720589593 Sun Jan 16 03:02:23 2022 p112 factor: 2308503220863082148247069208818834563292919481784014981380439857708711611481720211947200890864351717336348645011 Sun Jan 16 03:02:23 2022 elapsed time 00:25:41 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.328). Factorization parameters were as follows: # # N = 10^179-73 = 5(177)15 # n: 210038077193904059004535161066197723893391233605905837212101253921229743368609039363780045529491909552756281483276886965334973377852248038275339625322189746344764577970523 m: 500000000000000000000000000000000000 deg: 5 c5: 16 c0: -365 skew: 1.87 # Murphy_E = 9.604e-11 type: snfs lss: 1 rlim: 6900000 alim: 6900000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6900000/6900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4254688 hash collisions in 29641996 relations (26873540 unique) Msieve: matrix is 977826 x 978051 (333.6 MB) Sieving start time : 2022/01/15 23:56:05 Sieving end time : 2022/01/16 02:35:41 Total sieving time: 2hrs 39min 36secs. Total relation processing time: 0hrs 14min 58sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 38sec. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved) [ 0.152620] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576) [ 0.150211] smpboot: Total of 16 processors activated (102388.60 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 13:13:46 UTC 2022 年 1 月 5 日 (水) 22 時 13 分 46 秒 (日本時間)

5×10¹⁸⁰-739

c119

name 名前	Ignacio Santos
date 日付	December 29, 2021 22:13:34 UTC 2021 年 12 月 30 日 (木) 7 時 13 分 34 秒 (日本時間)
composite number 合成数	42073644928982557536327617713350159975659609886561846219907831151762119351772710719553191057413415925866469780775183833<119>
prime factors 素因数	3730534203474263248976137455638639159<37> 11278182328364442593138245632425995721773723144693701300218737379085084070667903087<83>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1916037935 Step 1 took 4812ms Step 2 took 2907ms ********** Factor found in step 2: 3730534203474263248976137455638639159 Found prime factor of 37 digits: 3730534203474263248976137455638639159 Prime cofactor 11278182328364442593138245632425995721773723144693701300218737379085084070667903087 has 83 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)

5×10¹⁸¹-739

c115

name 名前	Ignacio Santos
date 日付	December 29, 2021 21:21:20 UTC 2021 年 12 月 30 日 (木) 6 時 21 分 20 秒 (日本時間)
composite number 合成数	2397622565743917305694844969133197437092988024585086924005327311026931989792804851075982657956194122451413870660869<115>
prime factors 素因数	1193063321971470457040664932146359588031<40> 2009635634244442301156109433703295967906438727556943064932870164437564291899<76>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3874001393 Step 1 took 3531ms Step 2 took 2735ms ********** Factor found in step 2: 1193063321971470457040664932146359588031 Found prime factor of 40 digits: 1193063321971470457040664932146359588031 Prime cofactor 2009635634244442301156109433703295967906438727556943064932870164437564291899 has 76 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)

5×10¹⁸⁴-739

c142

name 名前	Ray Chandler
date 日付	January 30, 2022 18:12:50 UTC 2022 年 1 月 31 日 (月) 3 時 12 分 50 秒 (日本時間)
composite number 合成数	9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017<142>
prime factors 素因数	6831267159650074602251830066935461385806503286529505967<55> 1405764180590498673403483321381793066698773280927783701868931946602397238642233768831151<88>
factorization results 素因数分解の結果	01/30/22 08:51:58, 01/30/22 08:51:58, ************************** 01/30/22 08:51:58, Starting factorization of 5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555515 01/30/22 08:51:58, using pretesting plan: normal 01/30/22 08:51:58, using specified qs/gnfs crossover of 100 digits 01/30/22 08:51:58, using specified qs/snfs crossover of 75 digits 01/30/22 08:51:58, ************************** 01/30/22 08:51:58, div: found prime factor = 5 01/30/22 08:51:58, div: found prime factor = 67 01/30/22 08:51:59, rho: x^2 + 3, starting 1000 iterations on C182 01/30/22 08:51:59, rho: x^2 + 2, starting 1000 iterations on C182 01/30/22 08:51:59, rho: x^2 + 1, starting 1000 iterations on C182 01/30/22 08:51:59, nfs: input divides 10^185 - 730 01/30/22 08:51:59, nfs: using supplied cofactor: 16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509 01/30/22 08:51:59, nfs: input divides 10^185 - 730 01/30/22 08:51:59, nfs: using supplied cofactor: 16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509 01/30/22 08:51:59, nfs: commencing snfs on c182: 16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509 01/30/22 08:51:59, pm1: starting B1 = 150K, B2 = gmp-ecm default on C182 01/30/22 08:51:59, prp14 = 14408480360971 01/30/22 08:51:59, nfs: input divides 10^185 - 730 01/30/22 08:51:59, nfs: using supplied cofactor: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879 01/30/22 08:51:59, nfs: commencing snfs on c169: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879 01/30/22 08:51:59, current ECM pretesting depth: 0.00 01/30/22 08:51:59, scheduled 30 curves at B1=2000 toward target pretesting depth of 40.44 01/30/22 08:51:59, ecm: commencing 48 curves using AVX-ECM method on 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879, B1=2k, B2=200k 01/30/22 08:51:59, ecm: finished 384 curves using AVX-ECM method on C169 input, B1=2k, B2=200k 01/30/22 08:51:59, nfs: input divides 10^185 - 730 01/30/22 08:52:00, nfs: using supplied cofactor: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879 01/30/22 08:52:00, nfs: commencing snfs on c169: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879 01/30/22 08:52:00, current ECM pretesting depth: 17.27 01/30/22 08:52:00, scheduled 74 curves at B1=11000 toward target pretesting depth of 40.44 01/30/22 08:52:00, ecm: commencing 96 curves using AVX-ECM method on 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879, B1=11k, B2=1100k 01/30/22 08:52:00, ecm: finished 384 curves using AVX-ECM method on C169 input, B1=11k, B2=1100k 01/30/22 08:52:00, nfs: input divides 10^185 - 730 01/30/22 08:52:00, nfs: using supplied cofactor: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879 01/30/22 08:52:00, nfs: commencing snfs on c169: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879 01/30/22 08:52:00, current ECM pretesting depth: 21.28 01/30/22 08:52:00, scheduled 214 curves at B1=50000 toward target pretesting depth of 40.44 01/30/22 08:52:01, ecm: commencing 240 curves using AVX-ECM method on 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879, B1=50k, B2=5M 01/30/22 08:52:02, ecm: finished 0 curves using AVX-ECM method on C169 input, B1=50k, B2=5M 01/30/22 08:52:02, prp27 = 119853512325119644486964287 (curve=325 stg=2 B1=50000 B2=5000000 sigma=4260291199 thread=40 vecpos=5) 01/30/22 08:52:02, nfs: input divides 10^185 - 730 01/30/22 08:52:02, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:02, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:02, current ECM pretesting depth: 21.28 01/30/22 08:52:02, scheduled 214 curves at B1=50000 toward target pretesting depth of 33.98 01/30/22 08:52:02, ecm: commencing 240 curves using AVX-ECM method on 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017, B1=50k, B2=5M 01/30/22 08:52:03, ecm: finished 384 curves using AVX-ECM method on C142 input, B1=50k, B2=5M 01/30/22 08:52:03, nfs: input divides 10^185 - 730 01/30/22 08:52:03, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:03, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:03, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C142 01/30/22 08:52:04, nfs: input divides 10^185 - 730 01/30/22 08:52:04, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:04, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:04, current ECM pretesting depth: 25.62 01/30/22 08:52:04, scheduled 430 curves at B1=250000 toward target pretesting depth of 33.98 01/30/22 08:52:06, ecm: commencing 432 curves using AVX-ECM method on 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017, B1=250k, B2=25M 01/30/22 08:52:13, ecm: finished 768 curves using AVX-ECM method on C142 input, B1=250k, B2=25M 01/30/22 08:52:13, nfs: input divides 10^185 - 730 01/30/22 08:52:13, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:13, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:13, pm1: starting B1 = 15M, B2 = gmp-ecm default on C142 01/30/22 08:52:17, nfs: input divides 10^185 - 730 01/30/22 08:52:17, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:17, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:17, current ECM pretesting depth: 30.81 01/30/22 08:52:17, scheduled 575 curves at B1=1000000 toward target pretesting depth of 33.98 01/30/22 08:52:19, ecm: commencing 576 curves using AVX-ECM method on 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017, B1=1M, B2=100M 01/30/22 08:52:46, ecm: finished 768 curves using AVX-ECM method on C142 input, B1=1M, B2=100M 01/30/22 08:52:47, nfs: input divides 10^185 - 730 01/30/22 08:52:47, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:47, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:47, final ECM pretested depth: 35.50 01/30/22 08:52:47, scheduler: switching to sieve method 01/30/22 08:52:47, nfs: commencing nfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:47, nfs: input divides 10^185 - 730 01/30/22 08:52:47, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:47, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017 01/30/22 08:52:48, test: fb generation took 1.1916 seconds 01/30/22 08:52:48, test: commencing test sieving of polynomial 0 on the algebraic side over range 10500000-10501000 skew: 2.0000 c5: 1 c0: -730 Y1: -1 Y0: 10000000000000000000000000000000000000 rlim: 10500000 alim: 10500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/30/22 08:53:56, nfs: parsing special-q from .dat file 01/30/22 08:53:56, test: new best estimated total sieving time = 2h 2m 33s (with 48 threads) 01/30/22 08:53:58, test: fb generation took 1.8898 seconds 01/30/22 08:53:58, test: commencing test sieving of polynomial 1 on the algebraic side over range 10500000-10501000 skew: 2.5766 c6: 16 c0: -1825 Y1: -1 Y0: 5000000000000000000000000000000 rlim: 10500000 alim: 10500000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/30/22 08:54:48, nfs: parsing special-q from .dat file 01/30/22 08:54:48, test: estimated total sieving time = 2h 9m 41s (with 48 threads) 01/30/22 08:54:48, nfs: commencing lattice sieving with 48 threads 01/30/22 08:57:22, nfs: commencing lattice sieving with 48 threads 01/30/22 09:00:04, nfs: commencing lattice sieving with 48 threads 01/30/22 09:02:41, nfs: commencing lattice sieving with 48 threads 01/30/22 09:05:30, nfs: commencing lattice sieving with 48 threads 01/30/22 09:08:10, nfs: commencing lattice sieving with 48 threads 01/30/22 09:11:03, nfs: commencing lattice sieving with 48 threads 01/30/22 09:13:39, nfs: commencing lattice sieving with 48 threads 01/30/22 09:16:26, nfs: commencing lattice sieving with 48 threads 01/30/22 09:19:07, nfs: commencing lattice sieving with 48 threads 01/30/22 09:21:51, nfs: commencing lattice sieving with 48 threads 01/30/22 09:24:40, nfs: commencing lattice sieving with 48 threads 01/30/22 09:27:25, nfs: commencing lattice sieving with 48 threads 01/30/22 09:30:11, nfs: commencing lattice sieving with 48 threads 01/30/22 09:32:55, nfs: commencing lattice sieving with 48 threads 01/30/22 09:35:27, nfs: commencing lattice sieving with 48 threads 01/30/22 09:38:03, nfs: commencing lattice sieving with 48 threads 01/30/22 09:40:44, nfs: commencing lattice sieving with 48 threads 01/30/22 09:43:39, nfs: commencing lattice sieving with 48 threads 01/30/22 09:46:31, nfs: commencing lattice sieving with 48 threads 01/30/22 09:49:12, nfs: commencing lattice sieving with 48 threads 01/30/22 09:52:20, nfs: commencing lattice sieving with 48 threads 01/30/22 09:55:03, nfs: commencing lattice sieving with 48 threads 01/30/22 09:57:50, nfs: commencing lattice sieving with 48 threads 01/30/22 10:00:37, nfs: commencing lattice sieving with 48 threads 01/30/22 10:03:26, nfs: commencing lattice sieving with 48 threads 01/30/22 10:06:14, nfs: commencing lattice sieving with 48 threads 01/30/22 10:09:15, nfs: commencing lattice sieving with 48 threads 01/30/22 10:12:20, nfs: commencing lattice sieving with 48 threads 01/30/22 10:15:07, nfs: commencing lattice sieving with 48 threads 01/30/22 10:17:57, nfs: commencing lattice sieving with 48 threads 01/30/22 10:20:50, nfs: commencing lattice sieving with 48 threads 01/30/22 10:23:34, nfs: commencing lattice sieving with 48 threads 01/30/22 10:26:16, nfs: commencing lattice sieving with 48 threads 01/30/22 10:29:03, nfs: commencing lattice sieving with 48 threads 01/30/22 10:31:44, nfs: commencing lattice sieving with 48 threads 01/30/22 10:34:41, nfs: commencing lattice sieving with 48 threads 01/30/22 10:37:28, nfs: commencing lattice sieving with 48 threads 01/30/22 10:40:15, nfs: commencing lattice sieving with 48 threads 01/30/22 10:43:04, nfs: commencing lattice sieving with 48 threads 01/30/22 10:46:00, nfs: commencing lattice sieving with 48 threads 01/30/22 10:48:48, nfs: commencing lattice sieving with 48 threads 01/30/22 10:51:42, nfs: commencing lattice sieving with 48 threads 01/30/22 10:54:24, nfs: commencing lattice sieving with 48 threads 01/30/22 10:57:11, nfs: commencing msieve filtering 01/30/22 10:59:11, nfs: raising min_rels by 5.00 percent to 10659406 01/30/22 10:59:11, nfs: commencing lattice sieving with 48 threads 01/30/22 11:01:59, nfs: commencing lattice sieving with 48 threads 01/30/22 11:04:47, nfs: commencing lattice sieving with 48 threads 01/30/22 11:07:29, nfs: commencing msieve filtering 01/30/22 11:09:35, nfs: raising min_rels by 5.00 percent to 11326894 01/30/22 11:09:35, nfs: commencing lattice sieving with 48 threads 01/30/22 11:12:27, nfs: commencing lattice sieving with 48 threads 01/30/22 11:15:12, nfs: commencing lattice sieving with 48 threads 01/30/22 11:17:53, nfs: commencing msieve filtering 01/30/22 11:20:04, nfs: raising min_rels by 5.00 percent to 11999368 01/30/22 11:20:04, nfs: commencing lattice sieving with 48 threads 01/30/22 11:22:48, nfs: commencing lattice sieving with 48 threads 01/30/22 11:25:37, nfs: commencing lattice sieving with 48 threads 01/30/22 11:28:28, nfs: commencing msieve filtering 01/30/22 11:32:18, nfs: raising min_rels by 5.00 percent to 12660056 01/30/22 11:32:18, nfs: commencing lattice sieving with 48 threads 01/30/22 11:35:12, nfs: commencing lattice sieving with 48 threads 01/30/22 11:37:58, nfs: commencing lattice sieving with 48 threads 01/30/22 11:40:48, nfs: commencing msieve filtering 01/30/22 11:44:18, nfs: commencing msieve linear algebra 01/30/22 11:58:47, nfs: commencing msieve sqrt 01/30/22 12:01:01, prp88 = 1405764180590498673403483321381793066698773280927783701868931946602397238642233768831151 01/30/22 12:01:01, prp55 = 6831267159650074602251830066935461385806503286529505967 01/30/22 12:01:01, NFS elapsed time = 11294.2134 seconds. 01/30/22 12:01:01, 01/30/22 12:01:01,
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 6248R CPU @ 3.00GHz Detected L1 = 32768 bytes, L2 = 37486592 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 5, 2022 22:25:07 UTC 2022 年 1 月 6 日 (木) 7 時 25 分 7 秒 (日本時間)

5×10¹⁸⁵-739

c170

name 名前	Bob Backstrom
date 日付	January 6, 2022 13:45:03 UTC 2022 年 1 月 6 日 (木) 22 時 45 分 3 秒 (日本時間)
composite number 合成数	58364587253809485036801367413141406291421376555237976412469957437935451450136145288527958065949794420093608626500362305043748039002121550744993001052859407081171001057787<170>
prime factors 素因数	252067205798178234508659656946572960381<39> 231543754646687575805039840072126865138589731465425191565040289734907462709544203579718083414203093896979987580661922609146333677527<132>
factorization results 素因数分解の結果	Number: n N=58364587253809485036801367413141406291421376555237976412469957437935451450136145288527958065949794420093608626500362305043748039002121550744993001052859407081171001057787 ( 170 digits) SNFS difficulty: 185 digits. Divisors found: Fri Jan 7 00:38:00 2022 p39 factor: 252067205798178234508659656946572960381 Fri Jan 7 00:38:00 2022 p132 factor: 231543754646687575805039840072126865138589731465425191565040289734907462709544203579718083414203093896979987580661922609146333677527 Fri Jan 7 00:38:00 2022 elapsed time 00:22:09 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.320). Factorization parameters were as follows: # # N = 10^185-73 = 5(183)15 # n: 58364587253809485036801367413141406291421376555237976412469957437935451450136145288527958065949794420093608626500362305043748039002121550744993001052859407081171001057787 m: 10000000000000000000000000000000000000 deg: 5 c5: 1 c0: -73 skew: 2.36 # Murphy_E = 7.351e-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, 9850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3714898 hash collisions in 33292575 relations (31672291 unique) Msieve: matrix is 914000 x 914234 (312.1 MB) Sieving start time : 2022/01/06 21:42:59 Sieving end time : 2022/01/07 00:15:12 Total sieving time: 2hrs 32min 13secs. Total relation processing time: 0hrs 12min 14sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 31sec. 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 22:26:54 UTC 2022 年 1 月 6 日 (木) 7 時 26 分 54 秒 (日本時間)

5×10¹⁸⁶-739

c157

name 名前	Ray Chandler
date 日付	January 31, 2022 20:35:03 UTC 2022 年 2 月 1 日 (火) 5 時 35 分 3 秒 (日本時間)
composite number 合成数	1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803<157>
prime factors 素因数	205647808516644598178587509306112028183707469<45> 5958512960553462952112138441459780972866649180015320852401584077267544431758714466555694423446657045086969809087<112>
factorization results 素因数分解の結果	01/31/22 11:31:02, 01/31/22 11:31:02, ************************** 01/31/22 11:31:02, Starting factorization of 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555515 01/31/22 11:31:02, using pretesting plan: normal 01/31/22 11:31:02, using specified qs/gnfs crossover of 100 digits 01/31/22 11:31:02, using specified qs/snfs crossover of 75 digits 01/31/22 11:31:02, ************************** 01/31/22 11:31:02, div: found prime factor = 5 01/31/22 11:31:02, rho: x^2 + 3, starting 1000 iterations on C186 01/31/22 11:31:02, prp10 = 5781678589 01/31/22 11:31:02, rho: x^2 + 3, starting 1000 iterations on C176 01/31/22 11:31:02, prp9 = 542069387 01/31/22 11:31:02, rho: x^2 + 3, starting 1000 iterations on C167 01/31/22 11:31:03, prp11 = 28932548507 01/31/22 11:31:03, rho: x^2 + 3, starting 1000 iterations on C157 01/31/22 11:31:03, rho: x^2 + 2, starting 1000 iterations on C157 01/31/22 11:31:03, rho: x^2 + 1, starting 1000 iterations on C157 01/31/22 11:31:03, nfs: input divides 10^187 - 730 01/31/22 11:31:03, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:03, nfs: input divides 10^187 - 730 01/31/22 11:31:03, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:03, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:03, pm1: starting B1 = 150K, B2 = gmp-ecm default on C157 01/31/22 11:31:03, nfs: input divides 10^187 - 730 01/31/22 11:31:03, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:03, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:03, current ECM pretesting depth: 0.00 01/31/22 11:31:03, scheduled 30 curves at B1=2000 toward target pretesting depth of 37.57 01/31/22 11:31:03, ecm: commencing 48 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=2k, B2=200k 01/31/22 11:31:04, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=2k, B2=200k 01/31/22 11:31:04, nfs: input divides 10^187 - 730 01/31/22 11:31:04, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:04, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:04, current ECM pretesting depth: 17.27 01/31/22 11:31:04, scheduled 74 curves at B1=11000 toward target pretesting depth of 37.57 01/31/22 11:31:04, ecm: commencing 96 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=11k, B2=1100k 01/31/22 11:31:04, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=11k, B2=1100k 01/31/22 11:31:04, nfs: input divides 10^187 - 730 01/31/22 11:31:04, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:04, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:04, current ECM pretesting depth: 21.28 01/31/22 11:31:04, scheduled 214 curves at B1=50000 toward target pretesting depth of 37.57 01/31/22 11:31:05, ecm: commencing 240 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=50k, B2=5M 01/31/22 11:31:06, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=50k, B2=5M 01/31/22 11:31:06, nfs: input divides 10^187 - 730 01/31/22 11:31:06, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:06, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:06, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C157 01/31/22 11:31:07, nfs: input divides 10^187 - 730 01/31/22 11:31:07, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:07, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:07, current ECM pretesting depth: 25.62 01/31/22 11:31:07, scheduled 430 curves at B1=250000 toward target pretesting depth of 37.57 01/31/22 11:31:08, ecm: commencing 432 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=250k, B2=25M 01/31/22 11:31:15, ecm: finished 768 curves using AVX-ECM method on C157 input, B1=250k, B2=25M 01/31/22 11:31:15, nfs: input divides 10^187 - 730 01/31/22 11:31:15, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:15, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:15, pm1: starting B1 = 15M, B2 = gmp-ecm default on C157 01/31/22 11:31:19, nfs: input divides 10^187 - 730 01/31/22 11:31:19, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:19, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:31:19, current ECM pretesting depth: 30.81 01/31/22 11:31:19, scheduled 904 curves at B1=1000000 toward target pretesting depth of 37.57 01/31/22 11:31:21, ecm: commencing 912 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=1M, B2=100M 01/31/22 11:32:01, ecm: finished 1152 curves using AVX-ECM method on C157 input, B1=1M, B2=100M 01/31/22 11:32:02, nfs: input divides 10^187 - 730 01/31/22 11:32:02, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:32:02, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:32:02, current ECM pretesting depth: 35.72 01/31/22 11:32:02, scheduled 869 curves at B1=3000000 toward target pretesting depth of 37.57 01/31/22 11:32:03, ecm: commencing 912 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=3M, B2=300M 01/31/22 11:34:01, ecm: finished 1152 curves using AVX-ECM method on C157 input, B1=3M, B2=300M 01/31/22 11:34:02, nfs: input divides 10^187 - 730 01/31/22 11:34:02, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:34:02, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:34:02, final ECM pretested depth: 38.18 01/31/22 11:34:02, scheduler: switching to sieve method 01/31/22 11:34:02, nfs: commencing nfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:34:02, nfs: input divides 10^187 - 730 01/31/22 11:34:02, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:34:02, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803 01/31/22 11:34:03, test: fb generation took 1.3881 seconds 01/31/22 11:34:03, test: commencing test sieving of polynomial 0 on the rational side over range 12000000-12001000 skew: 1.9942 c5: 10 c0: -73 Y1: -1 Y0: 10000000000000000000000000000000000000 rlim: 12000000 alim: 12000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/31/22 11:35:12, nfs: parsing special-q from .dat file 01/31/22 11:35:12, test: new best estimated total sieving time = 1h 42m 57s (with 48 threads) 01/31/22 11:35:13, test: fb generation took 1.3870 seconds 01/31/22 11:35:13, test: commencing test sieving of polynomial 1 on the rational side over range 12000000-12001000 skew: 4.0479 c5: 5 c0: -1168 Y1: -1 Y0: 20000000000000000000000000000000000000 rlim: 12000000 alim: 12000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/31/22 11:36:21, nfs: parsing special-q from .dat file 01/31/22 11:36:21, test: estimated total sieving time = 1h 49m 15s (with 48 threads) 01/31/22 11:36:23, test: fb generation took 1.9302 seconds 01/31/22 11:36:23, test: commencing test sieving of polynomial 2 on the algebraic side over range 11000000-11001000 skew: 2.4123 c6: 1 c0: -73 Y1: -1 Y0: 10000000000000000000000000000000 rlim: 11000000 alim: 11000000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 01/31/22 11:37:45, nfs: parsing special-q from .dat file 01/31/22 11:37:45, test: estimated total sieving time = 2h 8m 53s (with 48 threads) 01/31/22 11:37:45, nfs: commencing lattice sieving with 48 threads 01/31/22 11:40:23, nfs: commencing lattice sieving with 48 threads 01/31/22 11:43:01, nfs: commencing lattice sieving with 48 threads 01/31/22 11:45:35, nfs: commencing lattice sieving with 48 threads 01/31/22 11:48:14, nfs: commencing lattice sieving with 48 threads 01/31/22 11:50:42, nfs: commencing lattice sieving with 48 threads 01/31/22 11:53:17, nfs: commencing lattice sieving with 48 threads 01/31/22 11:55:56, nfs: commencing lattice sieving with 48 threads 01/31/22 11:58:34, nfs: commencing lattice sieving with 48 threads 01/31/22 12:01:07, nfs: commencing lattice sieving with 48 threads 01/31/22 12:03:44, nfs: commencing lattice sieving with 48 threads 01/31/22 12:06:24, nfs: commencing lattice sieving with 48 threads 01/31/22 12:09:06, nfs: commencing lattice sieving with 48 threads 01/31/22 12:11:42, nfs: commencing lattice sieving with 48 threads 01/31/22 12:14:22, nfs: commencing lattice sieving with 48 threads 01/31/22 12:16:58, nfs: commencing lattice sieving with 48 threads 01/31/22 12:19:29, nfs: commencing lattice sieving with 48 threads 01/31/22 12:22:13, nfs: commencing lattice sieving with 48 threads 01/31/22 12:24:47, nfs: commencing lattice sieving with 48 threads 01/31/22 12:27:25, nfs: commencing lattice sieving with 48 threads 01/31/22 12:30:08, nfs: commencing lattice sieving with 48 threads 01/31/22 12:32:47, nfs: commencing lattice sieving with 48 threads 01/31/22 12:35:30, nfs: commencing lattice sieving with 48 threads 01/31/22 12:38:14, nfs: commencing lattice sieving with 48 threads 01/31/22 12:40:50, nfs: commencing lattice sieving with 48 threads 01/31/22 12:43:28, nfs: commencing lattice sieving with 48 threads 01/31/22 12:46:13, nfs: commencing lattice sieving with 48 threads 01/31/22 12:48:58, nfs: commencing lattice sieving with 48 threads 01/31/22 12:51:36, nfs: commencing lattice sieving with 48 threads 01/31/22 12:54:18, nfs: commencing lattice sieving with 48 threads 01/31/22 12:57:02, nfs: commencing lattice sieving with 48 threads 01/31/22 12:59:39, nfs: commencing lattice sieving with 48 threads 01/31/22 13:02:22, nfs: commencing lattice sieving with 48 threads 01/31/22 13:05:01, nfs: commencing lattice sieving with 48 threads 01/31/22 13:07:41, nfs: commencing lattice sieving with 48 threads 01/31/22 13:10:23, nfs: commencing lattice sieving with 48 threads 01/31/22 13:13:06, nfs: commencing lattice sieving with 48 threads 01/31/22 13:15:46, nfs: commencing lattice sieving with 48 threads 01/31/22 13:18:22, nfs: commencing msieve filtering 01/31/22 13:20:19, nfs: raising min_rels by 5.00 percent to 10784556 01/31/22 13:20:20, nfs: commencing lattice sieving with 48 threads 01/31/22 13:22:57, nfs: commencing lattice sieving with 48 threads 01/31/22 13:25:37, nfs: commencing msieve filtering 01/31/22 13:27:42, nfs: raising min_rels by 5.00 percent to 11334083 01/31/22 13:27:42, nfs: commencing lattice sieving with 48 threads 01/31/22 13:30:21, nfs: commencing lattice sieving with 48 threads 01/31/22 13:33:02, nfs: commencing lattice sieving with 48 threads 01/31/22 13:35:38, nfs: commencing msieve filtering 01/31/22 13:37:53, nfs: raising min_rels by 5.00 percent to 12155488 01/31/22 13:37:53, nfs: commencing lattice sieving with 48 threads 01/31/22 13:40:33, nfs: commencing lattice sieving with 48 threads 01/31/22 13:43:15, nfs: commencing lattice sieving with 48 threads 01/31/22 13:45:54, nfs: commencing msieve filtering 01/31/22 13:49:47, nfs: raising min_rels by 5.00 percent to 12975787 01/31/22 13:49:47, nfs: commencing lattice sieving with 48 threads 01/31/22 13:52:24, nfs: commencing lattice sieving with 48 threads 01/31/22 13:55:08, nfs: commencing lattice sieving with 48 threads 01/31/22 13:57:46, nfs: commencing msieve filtering 01/31/22 14:01:23, nfs: commencing msieve linear algebra 01/31/22 14:16:21, nfs: commencing msieve sqrt 01/31/22 14:19:56, prp112 = 5958512960553462952112138441459780972866649180015320852401584077267544431758714466555694423446657045086969809087 01/31/22 14:19:56, prp45 = 205647808516644598178587509306112028183707469 01/31/22 14:19:56, NFS elapsed time = 9954.7493 seconds. 01/31/22 14:19:56, 01/31/22 14:19:56, 01/31/22 14:19:56, Total factoring time = 10134.0651 seconds
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 6248R CPU @ 3.00GHz Detected L1 = 32768 bytes, L2 = 37486592 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 6, 2022 11:30:53 UTC 2022 年 1 月 6 日 (木) 20 時 30 分 53 秒 (日本時間)

5×10¹⁸⁹-739

c180

name 名前	Ignacio Santos
date 日付	January 6, 2022 16:56:17 UTC 2022 年 1 月 7 日 (金) 1 時 56 分 17 秒 (日本時間)
composite number 合成数	194173145192006024349207165232861386125381249917261609251528782987150644349495057988311765777442845412865763514281440751152971447067929653695494551794067755542713836929024160332811<180>
prime factors 素因数	343719782051246735883646441704191851<36>
composite cofactor 合成数の残り	564916991490050091123741093516395812986367964971193905730395890067920523079969749908717691772711001282164726204416233426458906970158770428564961<144>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:579206407 Step 1 took 5984ms Step 2 took 3375ms ********** Factor found in step 2: 343719782051246735883646441704191851 Found prime factor of 36 digits: 343719782051246735883646441704191851 Composite cofactor 564916991490050091123741093516395812986367964971193905730395890067920523079969749908717691772711001282164726204416233426458906970158770428564961 has 144 digits
software ソフトウェア	GMP-ECM

c144

name 名前	Ignacio Santos
date 日付	January 8, 2022 09:11:20 UTC 2022 年 1 月 8 日 (土) 18 時 11 分 20 秒 (日本時間)
composite number 合成数	564916991490050091123741093516395812986367964971193905730395890067920523079969749908717691772711001282164726204416233426458906970158770428564961<144>
prime factors 素因数	3459547157735500749652271544716063293027<40> 163292178349673113455757438964816530090654988614377204839264027357125896915357471497636710504201463102443<105>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:626503111 Step 1 took 5844ms Step 2 took 3390ms ********** Factor found in step 2: 3459547157735500749652271544716063293027 Found prime factor of 40 digits: 3459547157735500749652271544716063293027 Prime cofactor 163292178349673113455757438964816530090654988614377204839264027357125896915357471497636710504201463102443 has 105 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)

5×10¹⁹⁰-739

c160

name 名前	Bob Backstrom
date 日付	February 2, 2022 14:39:41 UTC 2022 年 2 月 2 日 (水) 23 時 39 分 41 秒 (日本時間)
composite number 合成数	2891172273857590994613053374375261463492113586776430995508123221205593231220952733327672883533653734964188514740521330103804748776708553281411908128436696563677<160>
prime factors 素因数	1882131812772601629412959234352849765090224518405994081560100650529823<70> 1536115724859118146938812660019838811635617596102854492221738372209146058645737228293434499<91>
factorization results 素因数分解の結果	Number: n N=2891172273857590994613053374375261463492113586776430995508123221205593231220952733327672883533653734964188514740521330103804748776708553281411908128436696563677 ( 160 digits) SNFS difficulty: 190 digits. Divisors found: Thu Feb 3 01:34:21 2022 p70 factor: 1882131812772601629412959234352849765090224518405994081560100650529823 Thu Feb 3 01:34:21 2022 p91 factor: 1536115724859118146938812660019838811635617596102854492221738372209146058645737228293434499 Thu Feb 3 01:34:21 2022 elapsed time 00:29:08 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.309). Factorization parameters were as follows: # # N = 10^190-73 = 5(188)15 # n: 2891172273857590994613053374375261463492113586776430995508123221205593231220952733327672883533653734964188514740521330103804748776708553281411908128436696563677 m: 100000000000000000000000000000000000000 deg: 5 c5: 1 c0: -73 skew: 2.36 # Murphy_E = 4.586e-11 type: snfs lss: 1 rlim: 10300000 alim: 10300000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10300000/10300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4612110 hash collisions in 39231150 relations (36096676 unique) Msieve: matrix is 1073947 x 1074173 (364.7 MB) Sieving start time : 2022/02/02 21:10:16 Sieving end time : 2022/02/03 01:04:34 Total sieving time: 3hrs 54min 18secs. Total relation processing time: 0hrs 18min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 53sec. Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116821] 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) [ 0.152622] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480) [ 0.150214] smpboot: Total of 16 processors activated (102387.84 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 17:26:23 UTC 2022 年 1 月 7 日 (金) 2 時 26 分 23 秒 (日本時間)

5×10¹⁹¹-739

c190

name 名前	Bob Backstrom
date 日付	January 8, 2022 16:22:20 UTC 2022 年 1 月 9 日 (日) 1 時 22 分 20 秒 (日本時間)
composite number 合成数	3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701<190>
prime factors 素因数	881808648981918170324674703152770892736717734700864502990957249450526982927134443246404422883<93> 4200121770159287233490663709115984179719332734929719922328442080631127917658300069447058566225447<97>
factorization results 素因数分解の結果	Number: n N=3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701 ( 190 digits) SNFS difficulty: 191 digits. Divisors found: Sun Jan 9 03:06:52 2022 p93 factor: 881808648981918170324674703152770892736717734700864502990957249450526982927134443246404422883 Sun Jan 9 03:06:52 2022 p97 factor: 4200121770159287233490663709115984179719332734929719922328442080631127917658300069447058566225447 Sun Jan 9 03:06:52 2022 elapsed time 00:36:32 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 10^191-73 = 5(189)15 # n: 3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701 m: 100000000000000000000000000000000000000 deg: 5 c5: 10 c0: -73 skew: 1.49 # Murphy_E = 3.43e-11 type: snfs lss: 1 rlim: 10700000 alim: 10700000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10700000/10700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 25350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3869811 hash collisions in 30884377 relations (28763571 unique) Msieve: matrix is 1252077 x 1252302 (433.0 MB) Sieving start time : 2022/01/08 19:07:28 Sieving end time : 2022/01/09 02:27:09 Total sieving time: 7hrs 19min 41secs. Total relation processing time: 0hrs 27min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 16sec. Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000 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)

5×10¹⁹²-739

c190

name 名前	Bob Backstrom
date 日付	January 8, 2022 08:10:04 UTC 2022 年 1 月 8 日 (土) 17 時 10 分 4 秒 (日本時間)
composite number 合成数	4830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961<190>
prime factors 素因数	162061841989221300138041271294559737966818611474348961381607665997564433<72> 29809101359698470059419531608037250678498926174815322326303520772688591099652205722864594143833385273894114215104414217<119>
factorization results 素因数分解の結果	Number: n N=4830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961 ( 190 digits) SNFS difficulty: 192 digits. Divisors found: Sat Jan 8 19:04:46 2022 p72 factor: 162061841989221300138041271294559737966818611474348961381607665997564433 Sat Jan 8 19:04:46 2022 p119 factor: 29809101359698470059419531608037250678498926174815322326303520772688591099652205722864594143833385273894114215104414217 Sat Jan 8 19:04:46 2022 elapsed time 00:39:57 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.303). Factorization parameters were as follows: # # N = 10^192-73 = 5(190)15 # n: 4830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961 m: 100000000000000000000000000000000000000 deg: 5 c5: 100 c0: -73 skew: 0.94 # Murphy_E = 3.017e-11 type: snfs lss: 1 rlim: 11100000 alim: 11100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11100000/11100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3742214 hash collisions in 30710314 relations (28734449 unique) Msieve: matrix is 1311838 x 1312064 (456.7 MB) Sieving start time : 2022/01/08 14:11:03 Sieving end time : 2022/01/08 18:24:15 Total sieving time: 4hrs 13min 12secs. Total relation processing time: 0hrs 30min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 35sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000 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)

5×10¹⁹³-739

c148

name 名前	Eric Jeancolas
date 日付	February 2, 2022 17:34:34 UTC 2022 年 2 月 3 日 (木) 2 時 34 分 34 秒 (日本時間)
composite number 合成数	1286862328779819082103383621794552485158777898784123235732850366457144572537013987071187648295521753802177625222750637181679415544245485716085271163<148>
prime factors 素因数	123670648184276514600044681276073439098213242857282323867286155659993<69> 10405559829057568974187133512802725382866616517569073505525051815513364485112691<80>
factorization results 素因数分解の結果	1286862328779819082103383621794552485158777898784123235732850366457144572537013987071187648295521753802177625222750637181679415544245485716085271163=12367064818427651460004468127607343909821324285728232386728615565999310405559829057568974187133512802725382866616517569073505525051815513364485112691 cado polynomial n: 1286862328779819082103383621794552485158777898784123235732850366457144572537013987071187648295521753802177625222750637181679415544245485716085271163 skew: 1.39 type: snfs c0: -73 c6: 10 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 10x^6-73 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11500000 tasks.lim1 = 11500000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 123670648184276514600044681276073439098213242857282323867286155659993 10405559829057568974187133512802725382866616517569073505525051815513364485112691 Info:Square Root: Total cpu/real time for sqrt: 958.68/284.102 Info:Filtering - Singleton removal: Total cpu/real time for purge: 312.76/369.287 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24424720 Info:Lattice Sieving: Average J: 1895.11 for 1588546 special-q, max bucket fill -bkmult 1.0,1s:1.193860 Info:Lattice Sieving: Total time: 311093s Info:Linear Algebra: Total cpu/real time for bwc: 61609.3/15832 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 39413.69, WCT time 10067.4, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60160 iterations) Info:Linear Algebra: Lingen CPU time 383.44, WCT time 97.48 Info:Linear Algebra: Mksol: CPU time 21452.88, WCT time 5517.68, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30208 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 180.84/46.9148 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.24/116.647 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.1s Info:Filtering - Merging: Merged matrix has 1922535 rows and total weight 327015292 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 521.95/145.001 Info:Filtering - Merging: Total cpu/real time for replay: 76.74/65.6551 Info:Generate Factor Base: Total cpu/real time for makefb: 7.5/3.13536 Info:Quadratic Characters: Total cpu/real time for characters: 68.61/29.0869 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 427.8/423.43 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 348.2999999999999s Info:Square Root: Total cpu/real time for sqrt: 958.68/284.102 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 642760/172614 Info:root: Cleaning up computation data in /tmp/cado.hjf65oyo 123670648184276514600044681276073439098213242857282323867286155659993 10405559829057568974187133512802725382866616517569073505525051815513364485112691
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 12:06:07 UTC 2022 年 1 月 8 日 (土) 21 時 6 分 7 秒 (日本時間)
45	11e6	4480	Ray Chandler	February 1, 2022 22:55:45 UTC 2022 年 2 月 2 日 (水) 7 時 55 分 45 秒 (日本時間)

5×10¹⁹⁴-739

c161

name 名前	Bob Backstrom
date 日付	February 5, 2022 02:14:44 UTC 2022 年 2 月 5 日 (土) 11 時 14 分 44 秒 (日本時間)
composite number 合成数	11356462935126359206181543159518699326113766299982241235733322804645420381326639048817426088391733585513273351962044254927525031705528209347314414147116742517623<161>
prime factors 素因数	3649343520834730143991677989966736018921641807381941719152141436691710291778651<79> 3111919409693923872981197591848039647073186871560238802330592152803974712602161173<82>
factorization results 素因数分解の結果	Number: n N=11356462935126359206181543159518699326113766299982241235733322804645420381326639048817426088391733585513273351962044254927525031705528209347314414147116742517623 ( 161 digits) SNFS difficulty: 194 digits. Divisors found: Sat Feb 5 13:09:14 2022 p79 factor: 3649343520834730143991677989966736018921641807381941719152141436691710291778651 Sat Feb 5 13:09:14 2022 p82 factor: 3111919409693923872981197591848039647073186871560238802330592152803974712602161173 Sat Feb 5 13:09:14 2022 elapsed time 00:47:50 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.312). Factorization parameters were as follows: # # N = 10^194-73 = 5(192)15 # n: 11356462935126359206181543159518699326113766299982241235733322804645420381326639048817426088391733585513273351962044254927525031705528209347314414147116742517623 m: 500000000000000000000000000000000000000 deg: 5 c5: 16 c0: -365 skew: 1.87 # Murphy_E = 2.339e-11 type: snfs lss: 1 rlim: 12300000 alim: 12300000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12300000/12300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5970910 hash collisions in 44438117 relations (40004733 unique) Msieve: matrix is 1397220 x 1397449 (471.8 MB) Sieving start time : 2022/02/05 03:24:22 Sieving end time : 2022/02/05 12:19:45 Total sieving time: 8hrs 55min 23secs. Total relation processing time: 0hrs 34min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 13sec. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116821] 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) [ 0.152622] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480) [ 0.150214] smpboot: Total of 16 processors activated (102387.84 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 10, 2022 20:01:05 UTC 2022 年 1 月 11 日 (火) 5 時 1 分 5 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 31, 2022 22:17:28 UTC 2022 年 2 月 1 日 (火) 7 時 17 分 28 秒 (日本時間)

5×10¹⁹⁶-739

c134

name 名前	Eric Jeancolas
date 日付	January 7, 2022 10:40:28 UTC 2022 年 1 月 7 日 (金) 19 時 40 分 28 秒 (日本時間)
composite number 合成数	19277239373628966111791904631231802682489987140058184311965511667441077392296456683150207370986419104692686117915047728634941247104283<134>
prime factors 素因数	38885530142055003930098750026610741708676504492774363965537822521<65> 495743257278636957005733905102763690962127972884736568920739278830323<69>
factorization results 素因数分解の結果	19277239373628966111791904631231802682489987140058184311965511667441077392296456683150207370986419104692686117915047728634941247104283=38885530142055003930098750026610741708676504492774363965537822521495743257278636957005733905102763690962127972884736568920739278830323 cado polynomial n: 19277239373628966111791904631231802682489987140058184311965511667441077392296456683150207370986419104692686117915047728634941247104283 skew: 259046.584 c0: -12643711485926396138128149546966 c1: -300207178814077801050874985 c2: -628681643583097329898 c3: 7764197574879865 c4: -1902999786 c5: 15120 Y0: -76097541391169359359625313 Y1: 471265942015147961 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.435e-07 # f(x) = 15120x^5-1902999786x^4+7764197574879865x^3-628681643583097329898x^2-300207178814077801050874985x-12643711485926396138128149546966 # g(x) = 471265942015147961*x-76097541391169359359625313 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: 38885530142055003930098750026610741708676504492774363965537822521 495743257278636957005733905102763690962127972884736568920739278830323 Info:Square Root: Total cpu/real time for sqrt: 385.49/116.029 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.13/87.7909 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.7s Info:Generate Free Relations: Total cpu/real time for freerel: 247.33/62.5491 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): 54335/39.610/47.888/52.660/0.978 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44410/38.910/42.701/48.500/1.010 Info:Polynomial Selection (size optimized): Total time: 11211.7 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.11/168.597 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 155.3s Info:Linear Algebra: Total cpu/real time for bwc: 23405/6006.05 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 14870.51, WCT time 3804.52, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations) Info:Linear Algebra: Lingen CPU time 233.22, WCT time 59.1 Info:Linear Algebra: Mksol: CPU time 8093.09, WCT time 2066.07, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19200 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.0296 Info:Quadratic Characters: Total cpu/real time for characters: 40.9/16.8975 Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.72/100.482 Info:Square Root: Total cpu/real time for sqrt: 385.49/116.029 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6328.22 Info:Polynomial Selection (root optimized): Rootsieve time: 6325.77 Info:Filtering - Merging: Merged matrix has 1224677 rows and total weight 208526277 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 311.3/86.9343 Info:Filtering - Merging: Total cpu/real time for replay: 45.08/37.9791 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17015461 Info:Lattice Sieving: Average J: 3793.44 for 544908 special-q, max bucket fill -bkmult 1.0,1s:1.152510 Info:Lattice Sieving: Total time: 182555s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 384154/103374 38885530142055003930098750026610741708676504492774363965537822521 495743257278636957005733905102763690962127972884736568920739278830323
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 13:27:49 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 49 秒 (日本時間)

5×10¹⁹⁷-739

c172

name 名前	Bob Backstrom
date 日付	January 25, 2022 06:27:33 UTC 2022 年 1 月 25 日 (火) 15 時 27 分 33 秒 (日本時間)
composite number 合成数	1113952451106283899116670530289539684097285207639033373661979660900041845136854774500778920036746771079024770633873873773805769990569850971518124316715976403735492305593229<172>
prime factors 素因数	96808802064158126425377536421850265903815557126254023003<56> 11506726943775565543261445594807969816319740792826102556105206968826632684126478394971829570413456180931522794834743<116>
factorization results 素因数分解の結果	Number: n N=1113952451106283899116670530289539684097285207639033373661979660900041845136854774500778920036746771079024770633873873773805769990569850971518124316715976403735492305593229 ( 172 digits) SNFS difficulty: 197 digits. Divisors found: Tue Jan 25 17:23:01 2022 p56 factor: 96808802064158126425377536421850265903815557126254023003 Tue Jan 25 17:23:01 2022 p116 factor: 11506726943775565543261445594807969816319740792826102556105206968826632684126478394971829570413456180931522794834743 Tue Jan 25 17:23:01 2022 elapsed time 00:59:13 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.321). Factorization parameters were as follows: # # N = 10^197-73 = 5(195)15 # n: 1113952451106283899116670530289539684097285207639033373661979660900041845136854774500778920036746771079024770633873873773805769990569850971518124316715976403735492305593229 m: 1000000000000000000000000000000000000000 deg: 5 c5: 100 c0: -73 skew: 0.94 # Murphy_E = 1.872e-11 type: snfs lss: 1 rlim: 13400000 alim: 13400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13400000/13400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4981310 hash collisions in 34434323 relations (31260928 unique) Msieve: matrix is 1538967 x 1539192 (535.1 MB) Sieving start time : 2022/01/25 09:10:45 Sieving end time : 2022/01/25 16:23:12 Total sieving time: 7hrs 12min 27secs. Total relation processing time: 0hrs 47min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 57sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119028] 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) [ 0.153529] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084) [ 0.152048] smpboot: Total of 16 processors activated (102384.67 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 12, 2022 20:35:25 UTC 2022 年 1 月 13 日 (木) 5 時 35 分 25 秒 (日本時間)

5×10¹⁹⁸-739

c193

name 名前	Bob Backstrom
date 日付	January 17, 2022 02:39:42 UTC 2022 年 1 月 17 日 (月) 11 時 39 分 42 秒 (日本時間)
composite number 合成数	4498971984901450018670733737341017577483545009965222946556711791355675228210353934126052197072968826623116617852820630485933964089205616516625950970203308543997696526343730457590440584326481399<193>
prime factors 素因数	177526310949663795408806335799655562239445391<45> 26177692201583506496507179496084040902039907710972155864849<59> 968097733765517673582957430703530715048424058384614888984422614840306701896435900743713161<90>
factorization results 素因数分解の結果	Number: n N=4498971984901450018670733737341017577483545009965222946556711791355675228210353934126052197072968826623116617852820630485933964089205616516625950970203308543997696526343730457590440584326481399 ( 193 digits) SNFS difficulty: 198 digits. Divisors found: Mon Jan 17 13:31:21 2022 found factor: 968097733765517673582957430703530715048424058384614888984422614840306701896435900743713161 Mon Jan 17 13:34:26 2022 p45 factor: 177526310949663795408806335799655562239445391 Mon Jan 17 13:34:26 2022 p59 factor: 26177692201583506496507179496084040902039907710972155864849 Mon Jan 17 13:34:26 2022 p90 factor: 968097733765517673582957430703530715048424058384614888984422614840306701896435900743713161 Mon Jan 17 13:34:26 2022 elapsed time 01:36:18 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.304). Factorization parameters were as follows: # # N = 10^198-73 = 5(196)15 # n: 4498971984901450018670733737341017577483545009965222946556711791355675228210353934126052197072968826623116617852820630485933964089205616516625950970203308543997696526343730457590440584326481399 m: 1000000000000000000000000000000000000000 deg: 5 c5: 1000 c0: -73 skew: 0.59 # Murphy_E = 1.368e-11 type: snfs lss: 1 rlim: 14000000 alim: 14000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14000000/14000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3781013 hash collisions in 27477384 relations (25090347 unique) Msieve: matrix is 2007770 x 2007995 (700.4 MB) Sieving start time : 2022/01/17 04:27:20 Sieving end time : 2022/01/17 11:57:11 Total sieving time: 7hrs 29min 51secs. Total relation processing time: 1hrs 21min 55sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 7sec. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved) [ 0.152620] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576) [ 0.150211] smpboot: Total of 16 processors activated (102388.60 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 13, 2022 19:02:55 UTC 2022 年 1 月 14 日 (金) 4 時 2 分 55 秒 (日本時間)

5×10¹⁹⁹-739

c133

name 名前	Eric Jeancolas
date 日付	January 6, 2022 03:29:59 UTC 2022 年 1 月 6 日 (木) 12 時 29 分 59 秒 (日本時間)
composite number 合成数	1063007020885655501516028898214837027866203640019115923606811618783032810158027726585104086614279812407473732370057885807599594374503<133>
prime factors 素因数	7856419879245770799066196227932812652983<40> 135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441<93>
factorization results 素因数分解の結果	1063007020885655501516028898214837027866203640019115923606811618783032810158027726585104086614279812407473732370057885807599594374503=7856419879245770799066196227932812652983135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441 cado polynomial n: 1063007020885655501516028898214837027866203640019115923606811618783032810158027726585104086614279812407473732370057885807599594374503 skew: 42070.203 c0: -1099339224468582215910912904 c1: 1693761142987548040766629 c2: 188973419981845042114 c3: -2557473514289201 c4: -47995289062 c5: -199920 Y0: -24608528899722475754603954 Y1: 17645471446871435579 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.711e-07 # f(x) = -199920x^5-47995289062x^4-2557473514289201x^3+188973419981845042114x^2+1693761142987548040766629x-1099339224468582215910912904 # g(x) = 17645471446871435579*x-24608528899722475754603954 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: 7856419879245770799066196227932812652983 135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441 Info:Square Root: Total cpu/real time for sqrt: 375.13/113.979 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 194.86/165.559 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.9s Info:Square Root: Total cpu/real time for sqrt: 375.13/113.979 Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.2/103.528 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17013988 Info:Lattice Sieving: Average J: 3786.88 for 474173 special-q, max bucket fill -bkmult 1.0,1s:1.166770 Info:Lattice Sieving: Total time: 159439s Info:Generate Factor Base: Total cpu/real time for makefb: 15.19/4.0392 Info:Linear Algebra: Total cpu/real time for bwc: 20297.7/5216.11 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 12873.61, WCT time 3296.93, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations) Info:Linear Algebra: Lingen CPU time 225.64, WCT time 57.17 Info:Linear Algebra: Mksol: CPU time 7009.81, WCT time 1792.28, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 247.19/62.8467 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.84/85.5073 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.4s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5583.66 Info:Polynomial Selection (root optimized): Rootsieve time: 5581.19 Info:Filtering - Merging: Merged matrix has 1143641 rows and total weight 194711963 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 291.53/81.1404 Info:Filtering - Merging: Total cpu/real time for replay: 41.42/35.5723 Info:Quadratic Characters: Total cpu/real time for characters: 38.06/15.2964 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): 54056/38.930/47.429/52.100/0.990 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44154/38.360/42.210/48.010/0.947 Info:Polynomial Selection (size optimized): Total time: 11187.4 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 336686/90606.5 Info:root: Cleaning up computation data in /tmp/cado.kwoo45ll 7856419879245770799066196227932812652983 135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441
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 13:27:16 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 16 秒 (日本時間)

5×10²⁰¹-739

c178

name 名前	Bob Backstrom
date 日付	January 19, 2022 08:49:45 UTC 2022 年 1 月 19 日 (水) 17 時 49 分 45 秒 (日本時間)
composite number 合成数	1502800891169772506965653230782807910559841515369213580896323718374711706770359305026822323464487349701680296253118243792861614964295991333018852050170138050110304191761077387443<178>
prime factors 素因数	2708959763121885886107642555247713471774811621943956213<55> 554752016485434990887431817583544324695040265865019773124991905225663440925769175834976857252852990825435410607295252040711<123>
factorization results 素因数分解の結果	Number: n N=1502800891169772506965653230782807910559841515369213580896323718374711706770359305026822323464487349701680296253118243792861614964295991333018852050170138050110304191761077387443 ( 178 digits) SNFS difficulty: 201 digits. Divisors found: Wed Jan 19 19:20:19 2022 p55 factor: 2708959763121885886107642555247713471774811621943956213 Wed Jan 19 19:20:19 2022 p123 factor: 554752016485434990887431817583544324695040265865019773124991905225663440925769175834976857252852990825435410607295252040711 Wed Jan 19 19:20:19 2022 elapsed time 01:31:38 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 10^201-73 = 5(199)15 # n: 1502800891169772506965653230782807910559841515369213580896323718374711706770359305026822323464487349701680296253118243792861614964295991333018852050170138050110304191761077387443 m: 10000000000000000000000000000000000000000 deg: 5 c5: 10 c0: -73 skew: 1.49 # Murphy_E = 1.317e-11 type: snfs lss: 1 rlim: 15700000 alim: 15700000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 15700000/15700000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4220615 hash collisions in 29780283 relations (27067258 unique) Msieve: matrix is 2002509 x 2002734 (698.1 MB) Sieving start time : 2022/01/19 08:29:41 Sieving end time : 2022/01/19 17:47:46 Total sieving time: 9hrs 18min 5secs. Total relation processing time: 1hrs 17min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 17sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,28,28,55,55,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved) [ 0.152620] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576) [ 0.150211] smpboot: Total of 16 processors activated (102388.60 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 15, 2022 15:35:49 UTC 2022 年 1 月 16 日 (日) 0 時 35 分 49 秒 (日本時間)

5×10²⁰²-739

c193

name 名前	Bob Backstrom
date 日付	January 21, 2022 12:03:02 UTC 2022 年 1 月 21 日 (金) 21 時 3 分 2 秒 (日本時間)
composite number 合成数	2516303275496608323002165847401474766145763529900953897029418101845461175453879153222187226231157598042648405000266316731617096786777418725708506184087186101832362307122954008935967151695924481<193>
prime factors 素因数	1551256585930442134134123041890934916815399607797639461653474730876121<70> 1622106425409521893343941308711390010968598308324122981660605229146848517784167310312929717158987725824967531764407078189161<124>
factorization results 素因数分解の結果	Number: n N=2516303275496608323002165847401474766145763529900953897029418101845461175453879153222187226231157598042648405000266316731617096786777418725708506184087186101832362307122954008935967151695924481 ( 193 digits) SNFS difficulty: 202 digits. Divisors found: Fri Jan 21 22:54:41 2022 p70 factor: 1551256585930442134134123041890934916815399607797639461653474730876121 Fri Jan 21 22:54:41 2022 p124 factor: 1622106425409521893343941308711390010968598308324122981660605229146848517784167310312929717158987725824967531764407078189161 Fri Jan 21 22:54:41 2022 elapsed time 01:28:34 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # N = 10^202-73 = 5(200)15 # n: 2516303275496608323002165847401474766145763529900953897029418101845461175453879153222187226231157598042648405000266316731617096786777418725708506184087186101832362307122954008935967151695924481 m: 10000000000000000000000000000000000000000 deg: 5 c5: 100 c0: -73 skew: 0.94 # Murphy_E = 1.157e-11 type: snfs lss: 1 rlim: 16300000 alim: 16300000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 16300000/16300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 35350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5407933 hash collisions in 34286672 relations (30510761 unique) Msieve: matrix is 1929607 x 1929832 (670.9 MB) Sieving start time : 2022/01/21 10:13:52 Sieving end time : 2022/01/21 21:25:29 Total sieving time: 11hrs 11min 37secs. Total relation processing time: 1hrs 14min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 40sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,28,28,55,55,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119028] 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) [ 0.153529] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084) [ 0.152048] smpboot: Total of 16 processors activated (102384.67 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 16, 2022 19:19:19 UTC 2022 年 1 月 17 日 (月) 4 時 19 分 19 秒 (日本時間)

5×10²⁰³-739

c140

name 名前	Ignacio Santos
date 日付	December 30, 2021 21:49:19 UTC 2021 年 12 月 31 日 (金) 6 時 49 分 19 秒 (日本時間)
composite number 合成数	81214370506236090582709137378954713939974617989455870146130848600341193742868729044032553587581926547274156362078836916626064612525112982781<140>
prime factors 素因数	610586472578025204224825929411577683<36>
composite cofactor 合成数の残り	133010432025019886859554743249279016764363427841162453195738196925406989616392922001314353382628634833007<105>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2471633586 Step 1 took 3500ms Step 2 took 2531ms ********** Factor found in step 2: 610586472578025204224825929411577683 Found prime factor of 36 digits: 610586472578025204224825929411577683 Composite cofactor 133010432025019886859554743249279016764363427841162453195738196925406989616392922001314353382628634833007 has 105 digits
software ソフトウェア	GMP-ECM

c105

name 名前	Ignacio Santos
date 日付	January 1, 2022 14:45:56 UTC 2022 年 1 月 1 日 (土) 23 時 45 分 56 秒 (日本時間)
composite number 合成数	133010432025019886859554743249279016764363427841162453195738196925406989616392922001314353382628634833007<105>
prime factors 素因数	1299989794267061572342398590746865817359859571<46> 102316520184692370055966790339559295946602040372608302519317<60>
factorization results 素因数分解の結果	prp60 = 102316520184692370055966790339559295946602040372608302519317 prp46 = 1299989794267061572342398590746865817359859571
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)

5×10²⁰⁴-739

c182

name 名前	Ignacio Santos
date 日付	February 3, 2022 22:00:05 UTC 2022 年 2 月 4 日 (金) 7 時 0 分 5 秒 (日本時間)
composite number 合成数	10272641213215536928699238105898213337607016571541832656037195005044771804050938593223174059004857849404311154120847768274073437761461958975788558578569727909463308996437845821655001<182>
prime factors 素因数	7778966260680667658374140687451367983<37> 1320566366914242164614308867888429591441354801114674713331974503160151796323018708447118589024008658805092857105323130167016011181655599760790647<145>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3188445835 Step 1 took 8485ms Step 2 took 4172ms ********** Factor found in step 2: 7778966260680667658374140687451367983 Found prime factor of 37 digits: 7778966260680667658374140687451367983 Prime cofactor 1320566366914242164614308867888429591441354801114674713331974503160151796323018708447118589024008658805092857105323130167016011181655599760790647 has 145 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	1000 / 2078		Dmitry Domanov	January 25, 2022 08:22:57 UTC 2022 年 1 月 25 日 (火) 17 時 22 分 57 秒 (日本時間)

5×10²¹⁰-739

c203

composite cofactor 合成数の残り

25374269845869833903328244016030347220747342787431038126591268038790458290016282922702793131114104767467526834115025777340122371476214882613172224989286348914327609380167232170331586644719953191576929927<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	3350	1000	Dmitry Domanov	January 25, 2022 08:20:33 UTC 2022 年 1 月 25 日 (火) 17 時 20 分 33 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 15:16:32 UTC 2023 年 9 月 8 日 (金) 0 時 16 分 32 秒 (日本時間)

5×10²¹²-739

c154

composite cofactor 合成数の残り	7506960813369824949159102288701768991356307938166327005806296188600035845757262463124701791303794858661402441548910047202197220923885100365726858938260731<154>

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 25, 2022 08:22:44 UTC 2022 年 1 月 25 日 (火) 17 時 22 分 44 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 15:25:45 UTC 2023 年 9 月 8 日 (金) 0 時 25 分 45 秒 (日本時間)

5×10²¹⁵-739

c138

name 名前	Eric Jeancolas
date 日付	January 8, 2022 12:56:36 UTC 2022 年 1 月 8 日 (土) 21 時 56 分 36 秒 (日本時間)
composite number 合成数	105724390628779232343722986066216214743327850595254633380353722607701446921886529590495170810650393016844769509910163528637183457602277257<138>
prime factors 素因数	177150452870377777599491557069941069985545045391774902163903<60> 596805646927352235670656488884364983998922107964819022335384889860411885377719<78>
factorization results 素因数分解の結果	105724390628779232343722986066216214743327850595254633380353722607701446921886529590495170810650393016844769509910163528637183457602277257=177150452870377777599491557069941069985545045391774902163903596805646927352235670656488884364983998922107964819022335384889860411885377719 cado polynomial n: 105724390628779232343722986066216214743327850595254633380353722607701446921886529590495170810650393016844769509910163528637183457602277257 skew: 187489.694 c0: -77516898778223868665927289930360 c1: 2833943437155977482020781478 c2: 2763402997643897371821 c3: -51307903964111315 c4: -357857657328 c5: -552960 Y0: -339684501752560509654211472 Y1: 7662022687834668937 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.232e-07 # f(x) = -552960x^5-357857657328x^4-51307903964111315x^3+2763402997643897371821x^2+2833943437155977482020781478x-77516898778223868665927289930360 # g(x) = 7662022687834668937*x-339684501752560509654211472 cado parameters (extracts) tasks.lim0 = 9457107 tasks.lim1 = 12662444 tasks.lpb0 = 28 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 58 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 177150452870377777599491557069941069985545045391774902163903 596805646927352235670656488884364983998922107964819022335384889860411885377719 Info:Square Root: Total cpu/real time for sqrt: 602.6/179.302 Info:Generate Free Relations: Total cpu/real time for freerel: 494.31/124.579 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 146.66/168.145 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 168.0s Info:Square Root: Total cpu/real time for sqrt: 602.6/179.302 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 392.76/325.198 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 305.0s Info:Filtering - Singleton removal: Total cpu/real time for purge: 173.94/180.955 Info:Quadratic Characters: Total cpu/real time for characters: 55.94/22.5803 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32841298 Info:Lattice Sieving: Average J: 3813.51 for 608208 special-q, max bucket fill -bkmult 1.0,1s:1.132220 Info:Lattice Sieving: Total time: 273984s Info:Linear Algebra: Total cpu/real time for bwc: 26755.2/6850.29 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 14389.38, WCT time 3679.81, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations) Info:Linear Algebra: Lingen CPU time 289.11, WCT time 73.45 Info:Linear Algebra: Mksol: CPU time 12073.25, WCT time 3095.12, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 11.8/3.13932 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6806.48 Info:Polynomial Selection (root optimized): Rootsieve time: 6803.97 Info:Filtering - Merging: Merged matrix has 1486964 rows and total weight 252927786 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 358.08/101.72 Info:Filtering - Merging: Total cpu/real time for replay: 57.45/48.36 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66239/41.570/49.295/54.600/0.964 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54415/38.530/43.890/49.940/0.947 Info:Polynomial Selection (size optimized): Total time: 22666.5 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 579781/89010.1 177150452870377777599491557069941069985545045391774902163903 596805646927352235670656488884364983998922107964819022335384889860411885377719
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 13:29:22 UTC 2021 年 12 月 30 日 (木) 22 時 29 分 22 秒 (日本時間)

5×10²¹⁶-739

c205

composite cofactor 合成数の残り

8110265311744420177086193453117593369014581662604840973794612936650328673529717422643629706774273221731531325042466962912334188393228044645866052953300949261785264137021354119410190933749416000486215660891<205>

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 25, 2022 08:20:17 UTC 2022 年 1 月 25 日 (火) 17 時 20 分 17 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 15:40:22 UTC 2023 年 9 月 8 日 (金) 0 時 40 分 22 秒 (日本時間)

5×10²¹⁷-739

c189

composite cofactor 合成数の残り	210118155521067545611709871666434196612722699183627323272340809790268456468626722688121007196687376008445012277548116660596300736742611956803652145958612563865004024500550081649054960102067<189>

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 25, 2022 08:20:04 UTC 2022 年 1 月 25 日 (火) 17 時 20 分 4 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 15:43:36 UTC 2023 年 9 月 8 日 (金) 0 時 43 分 36 秒 (日本時間)

5×10²¹⁹-739

c162

name 名前	Erik Branger
date 日付	April 27, 2023 19:48:14 UTC 2023 年 4 月 28 日 (金) 4 時 48 分 14 秒 (日本時間)
composite number 合成数	247077739134219428381824992114140382020783658581310912944442044741686809321431951218451432205279876034702569156245855144146302558491100701965457137065509647949357<162>
prime factors 素因数	25268573726739242365346583167550780594364297726841135593861<59> 9778064318397258675041609156856314053185600143673981075667846187810651124981566499687655008900642086537<103>
factorization results 素因数分解の結果	Number: 55515_219 N = 247077739134219428381824992114140382020783658581310912944442044741686809321431951218451432205279876034702569156245855144146302558491100701965457137065509647949357 (162 digits) SNFS difficulty: 220 digits. Divisors found: r1=25268573726739242365346583167550780594364297726841135593861 (pp59) r2=9778064318397258675041609156856314053185600143673981075667846187810651124981566499687655008900642086537 (pp103) Version: Msieve v. 1.52 (SVN unknown) Total time: 59.70 hours. Factorization parameters were as follows: n: 247077739134219428381824992114140382020783658581310912944442044741686809321431951218451432205279876034702569156245855144146302558491100701965457137065509647949357 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c0: -730 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: 30775230 Relations: 8821790 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 18.78 hours. Total relation processing time: 0.47 hours. Pruned matrix : 7418367 x 7418592 Matrix solve time: 40.34 hours. time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 59.70 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 / 2078		Dmitry Domanov	January 24, 2022 22:08:26 UTC 2022 年 1 月 25 日 (火) 7 時 8 分 26 秒 (日本時間)

5×10²²⁰-739

c188

name 名前	Erik Branger
date 日付	April 27, 2023 19:48:33 UTC 2023 年 4 月 28 日 (金) 4 時 48 分 33 秒 (日本時間)
composite number 合成数	35826544633994690673415561780178123269208665714270636961325745598397556429508247657919541214602432950732410907328427157603167429347323475333104864857017994328115047334809052769044535107171<188>
prime factors 素因数	2141883010203281743498688462225290992869064573847523689<55> 16726658021622976722651962217197621082289054304856162327269518861715493090041725528281542516172458615423749615828007361202099797109739<134>
factorization results 素因数分解の結果	Number: 55515_220 N = 35826544633994690673415561780178123269208665714270636961325745598397556429508247657919541214602432950732410907328427157603167429347323475333104864857017994328115047334809052769044535107171 (188 digits) SNFS difficulty: 220 digits. Divisors found: r1=2141883010203281743498688462225290992869064573847523689 (pp55) r2=16726658021622976722651962217197621082289054304856162327269518861715493090041725528281542516172458615423749615828007361202099797109739 (pp134) Version: Msieve v. 1.52 (SVN unknown) Total time: 23.02 hours. Factorization parameters were as follows: n: 35826544633994690673415561780178123269208665714270636961325745598397556429508247657919541214602432950732410907328427157603167429347323475333104864857017994328115047334809052769044535107171 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c0: -73 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: 31848985 Relations: 7310044 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 8.37 hours. Total relation processing time: 0.25 hours. Pruned matrix : 6350141 x 6350366 Matrix solve time: 14.30 hours. time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 23.02 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 / 2078		Dmitry Domanov	January 25, 2022 08:19:47 UTC 2022 年 1 月 25 日 (火) 17 時 19 分 47 秒 (日本時間)

5×10²²²-739

c219

name 名前	Erik Branger
date 日付	September 29, 2024 19:55:56 UTC 2024 年 9 月 30 日 (月) 4 時 55 分 56 秒 (日本時間)
composite number 合成数	241021932995902627139069655338635815859243191130392865750783321282236683538201976379850566401542540371173776813690045794167269221499156423234514340805013256206314774644492648831043624969872258375512171607616293082670523<219>
prime factors 素因数	378774582220308585254166197279628669352683373813<48> 636320239819354655999266286182130820646802638669577330020106688818347177348520033545964953287328109116954090887678490932875179538673582288150423195497071155992060608434671<171>
factorization results 素因数分解の結果	Number: 55515_222 N = 241021932995902627139069655338635815859243191130392865750783321282236683538201976379850566401542540371173776813690045794167269221499156423234514340805013256206314774644492648831043624969872258375512171607616293082670523 (219 digits) SNFS difficulty: 222 digits. Divisors found: r1=378774582220308585254166197279628669352683373813 (pp48) r2=636320239819354655999266286182130820646802638669577330020106688818347177348520033545964953287328109116954090887678490932875179538673582288150423195497071155992060608434671 (pp171) Version: Msieve v. 1.52 (SVN unknown) Total time: 71.72 hours. Factorization parameters were as follows: n: 241021932995902627139069655338635815859243191130392865750783321282236683538201976379850566401542540371173776813690045794167269221499156423234514340805013256206314774644492648831043624969872258375512171607616293082670523 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 100 c0: -73 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: 30156912 Relations: 10253690 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.66 hours. Total relation processing time: 0.46 hours. Pruned matrix : 8642008 x 8642233 Matrix solve time: 53.29 hours. time per square root: 0.31 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: 71.72 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	3350	1000	Dmitry Domanov	January 24, 2022 23:35:12 UTC 2022 年 1 月 25 日 (火) 8 時 35 分 12 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 16:02:01 UTC 2023 年 9 月 8 日 (金) 1 時 2 分 1 秒 (日本時間)

5×10²²³-739

c198

name 名前	Erik Branger
date 日付	September 29, 2024 19:56:23 UTC 2024 年 9 月 30 日 (月) 4 時 56 分 23 秒 (日本時間)
composite number 合成数	887068600528845586236637709530708454036645823097572845222010681993857878825625318548171051144140520950646100130812931746806881070993574990962365923950973802470904328388043722789189156609377711858597<198>
prime factors 素因数	109382627227433692463968879799803914834554577446684714533<57> 2874969314222948148645771249826234522792178162703767883959916782834477<70> 2820821745134584457898748918781618230905743870983093737095539537115476517<73>
factorization results 素因数分解の結果	Number: 55515_223 N = 887068600528845586236637709530708454036645823097572845222010681993857878825625318548171051144140520950646100130812931746806881070993574990962365923950973802470904328388043722789189156609377711858597 (198 digits) SNFS difficulty: 223 digits. Divisors found: r1=109382627227433692463968879799803914834554577446684714533 (pp57) r2=2874969314222948148645771249826234522792178162703767883959916782834477 (pp70) r3=2820821745134584457898748918781618230905743870983093737095539537115476517 (pp73) Version: Msieve v. 1.52 (SVN unknown) Total time: 83.93 hours. Factorization parameters were as follows: n: 887068600528845586236637709530708454036645823097572845222010681993857878825625318548171051144140520950646100130812931746806881070993574990962365923950973802470904328388043722789189156609377711858597 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1000 c0: -73 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: 30181677 Relations: 9764946 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.10 hours. Total relation processing time: 0.47 hours. Pruned matrix : 8223590 x 8223815 Matrix solve time: 65.54 hours. time per square root: 0.82 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: 83.93 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	3350	1000	Dmitry Domanov	January 24, 2022 23:35:02 UTC 2022 年 1 月 25 日 (火) 8 時 35 分 2 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 16:10:51 UTC 2023 年 9 月 8 日 (金) 1 時 10 分 51 秒 (日本時間)

5×10²²⁴-739

c223

composite cofactor 合成数の残り

1234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567<223>

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 24, 2022 23:34:53 UTC 2022 年 1 月 25 日 (火) 8 時 34 分 53 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 16:21:11 UTC 2023 年 9 月 8 日 (金) 1 時 21 分 11 秒 (日本時間)

5×10²²⁵-739

c221

composite cofactor 合成数の残り

37423749111185958609333483028329778077167770667265446652445642004416002395119943115901350997342913813105796938737322704988585756521088282624153287676359417686463829946484038771004079188653119269488417349650087945810411287<221>

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 24, 2022 23:34:36 UTC 2022 年 1 月 25 日 (火) 8 時 34 分 36 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 16:35:01 UTC 2023 年 9 月 8 日 (金) 1 時 35 分 1 秒 (日本時間)

5×10²²⁶-739

c186

composite cofactor 合成数の残り	273528547125027240556033151761832708371292290430286999408664396943915170628985217337680477449649869667222523042875404997709084052027588225118394318920698536450187524770251811054123235341<186>

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 24, 2022 19:29:41 UTC 2022 年 1 月 25 日 (火) 4 時 29 分 41 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 16:43:06 UTC 2023 年 9 月 8 日 (金) 1 時 43 分 6 秒 (日本時間)

5×10²²⁷-739

c226

name 名前	ebina
date 日付	January 13, 2022 01:22:21 UTC 2022 年 1 月 13 日 (木) 10 時 22 分 21 秒 (日本時間)
composite number 合成数	3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701<226>
prime factors 素因数	3240123175482364358684240859646056859881823501885772697171931742244645281<73> 1143074970645930791986039805835549190715966700821061441190993142427809313461127583467595840924181056369689703146720332044756931560113162201568393089288821<154>
factorization results 素因数分解の結果	Sun Jan 9 17:58:55 2022 Msieve v. 1.53 (SVN unknown) Sun Jan 9 17:58:55 2022 random seeds: 1f4c1da0 e19f6795 Sun Jan 9 17:58:55 2022 factoring 3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701 (226 digits) Sun Jan 9 17:58:57 2022 searching for 15-digit factors Sun Jan 9 17:58:58 2022 commencing number field sieve (226-digit input) Sun Jan 9 17:58:58 2022 R0: -1000000000000000000000000000000000000000000000 Sun Jan 9 17:58:58 2022 R1: 1 Sun Jan 9 17:58:58 2022 A0: -73 Sun Jan 9 17:58:58 2022 A1: 0 Sun Jan 9 17:58:58 2022 A2: 0 Sun Jan 9 17:58:58 2022 A3: 0 Sun Jan 9 17:58:58 2022 A4: 0 Sun Jan 9 17:58:58 2022 A5: 100 Sun Jan 9 17:58:58 2022 skew 0.94, size 8.877e-16, alpha 0.245, combined = 9.842e-13 rroots = 1 Sun Jan 9 17:58:58 2022 Sun Jan 9 17:58:58 2022 commencing square root phase Sun Jan 9 17:58:58 2022 reading relations for dependency 1 Sun Jan 9 17:58:59 2022 read 4617680 cycles Sun Jan 9 17:59:07 2022 cycles contain 14812990 unique relations Sun Jan 9 18:02:03 2022 read 14812990 relations Sun Jan 9 18:03:28 2022 multiplying 14812990 relations Sun Jan 9 18:13:52 2022 multiply complete, coefficients have about 464.96 million bits Sun Jan 9 18:13:56 2022 initial square root is modulo 220248181 Sun Jan 9 18:27:28 2022 GCD is N, no factor found Sun Jan 9 18:27:28 2022 reading relations for dependency 2 Sun Jan 9 18:27:33 2022 read 4618881 cycles Sun Jan 9 18:27:41 2022 cycles contain 14816474 unique relations Sun Jan 9 18:30:45 2022 read 14816474 relations Sun Jan 9 18:32:12 2022 multiplying 14816474 relations Sun Jan 9 18:42:34 2022 multiply complete, coefficients have about 465.07 million bits Sun Jan 9 18:42:37 2022 initial square root is modulo 221211451 Sun Jan 9 18:55:54 2022 sqrtTime: 3416 Sun Jan 9 18:55:54 2022 p73 factor: 3240123175482364358684240859646056859881823501885772697171931742244645281 Sun Jan 9 18:55:54 2022 p154 factor: 1143074970645930791986039805835549190715966700821061441190993142427809313461127583467595840924181056369689703146720332044756931560113162201568393089288821 Sun Jan 9 18:55:54 2022 elapsed time 00:56:59 Sun Jan 09 18:55:54 2022 -> Computing 1.64172e+09 scale for this machine... Sun Jan 09 18:55:54 2022 -> procrels -speedtest> PIPE Sun Jan 09 18:55:58 2022 -> Factorization summary written to s227-2342.txt

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)

5×10²²⁸-739

c200

composite cofactor 合成数の残り

19978944820305337347205484716787147666119781492966285556215960599192598050727173443052308278759234569466537704861687874802747209961655270070128364850975491014942945727264220972128664822091726501376287<200>

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 24, 2022 18:52:08 UTC 2022 年 1 月 25 日 (火) 3 時 52 分 8 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 06:59:29 UTC 2023 年 9 月 8 日 (金) 15 時 59 分 29 秒 (日本時間)

5×10²³⁰-739

c187

composite cofactor 合成数の残り	1615760014225768297732737181051144066217976228002784775020384005729661801686053270437281867883243937824644349833106059156716564574975008580274339087228598639095805171100668209871405654673<187>

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 24, 2022 18:51:55 UTC 2022 年 1 月 25 日 (火) 3 時 51 分 55 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 07:34:31 UTC 2023 年 9 月 8 日 (金) 16 時 34 分 31 秒 (日本時間)

5×10²³¹-739

c216

composite cofactor 合成数の残り

466588884487880201519313095347812060326613615345231560310842202653066985755568924240040835229933947431720271862664581067271219637114029471338672123424357959465541488606280852273559495145333096134080650055662432628083<216>

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 24, 2022 18:51:30 UTC 2022 年 1 月 25 日 (火) 3 時 51 分 30 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 07:34:51 UTC 2023 年 9 月 8 日 (金) 16 時 34 分 51 秒 (日本時間)

5×10²³²-739

c203

composite cofactor 合成数の残り

17982062428925046790378598948135561906169972386377862991997146050077447575367769848634848972684387324619384974408516707764277192827003995968831651927622801642833229925426782705025556561308355907093510411<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	3350	1000	Dmitry Domanov	January 24, 2022 17:12:25 UTC 2022 年 1 月 25 日 (火) 2 時 12 分 25 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 07:35:11 UTC 2023 年 9 月 8 日 (金) 16 時 35 分 11 秒 (日本時間)

5×10²³³-739

c216

composite cofactor 合成数の残り

706304903393777932310065663614281961282273975953266864087487174850980253212790669606045146519083135467388488503751574801961320679146142291655527579155726107182106341676526701053659349186887911459934680097418348434501<216>

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 24, 2022 17:12:13 UTC 2022 年 1 月 25 日 (火) 2 時 12 分 13 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 07:40:32 UTC 2023 年 9 月 8 日 (金) 16 時 40 分 32 秒 (日本時間)

5×10²³⁵-739

c217

composite cofactor 合成数の残り

5076345709555953690260043436340789939547709945061710809392035158561558876544154954921919334985395769545796867308623085858743043325059448193460832396789655054026396448351057271296564677428248404481281776900055893867333<217>

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 24, 2022 17:12:05 UTC 2022 年 1 月 25 日 (火) 2 時 12 分 5 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 07:50:20 UTC 2023 年 9 月 8 日 (金) 16 時 50 分 20 秒 (日本時間)

5×10²³⁶-739

c222

composite cofactor 合成数の残り

920342709560878611456999184262981467620829939581777970367910484233317057663099586263015082153327476046817929709606022649493882199478192764172350636618939516168492969791840064965531263406671374229509262781654720274486303257<222>

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 24, 2022 17:11:53 UTC 2022 年 1 月 25 日 (火) 2 時 11 分 53 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 08:13:24 UTC 2023 年 9 月 8 日 (金) 17 時 13 分 24 秒 (日本時間)

5×10²³⁷-739

c140

name 名前	Eric Jeancolas
date 日付	January 11, 2022 06:48:10 UTC 2022 年 1 月 11 日 (火) 15 時 48 分 10 秒 (日本時間)
composite number 合成数	29074534582465502863282018986544394565095841005119167283637251170941526165713801845882499418255469933441928617528248606413769303317356043189<140>
prime factors 素因数	338072230216591956323932991044902502277756728448252807015742852889<66> 86000954777736070845706764014449659587069716067415955430156066760433512701<74>
factorization results 素因数分解の結果	29074534582465502863282018986544394565095841005119167283637251170941526165713801845882499418255469933441928617528248606413769303317356043189=33807223021659195632393299104490250227775672844825280701574285288986000954777736070845706764014449659587069716067415955430156066760433512701 cado polynomial n: 29074534582465502863282018986544394565095841005119167283637251170941526165713801845882499418255469933441928617528248606413769303317356043189 skew: 152049.547 c0: 145935230979515840426319765063516 c1: -666790395123254407784780692 c2: -33304205865852686084775 c3: 53522523605446759 c4: 517301336346 c5: 1488240 Y0: -585461441970318968840783363 Y1: 1319825358166101277531 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.609e-07 # f(x) = 1488240x^5+517301336346x^4+53522523605446759x^3-33304205865852686084775x^2-666790395123254407784780692x+145935230979515840426319765063516 # g(x) = 1319825358166101277531*x-585461441970318968840783363 cado parameters (extracts) tasks.lim0 = 9457107 tasks.lim1 = 12662444 tasks.lpb0 = 28 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 58 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 338072230216591956323932991044902502277756728448252807015742852889 86000954777736070845706764014449659587069716067415955430156066760433512701 Info:Square Root: Total cpu/real time for sqrt: 904.19/266.483 Info:Generate Free Relations: Total cpu/real time for freerel: 494.95/124.903 Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.19/166.221 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32844758 Info:Lattice Sieving: Average J: 3806.97 for 851227 special-q, max bucket fill -bkmult 1.0,1s:1.168390 Info:Lattice Sieving: Total time: 307509s Info:Generate Factor Base: Total cpu/real time for makefb: 11.76/3.1352 Info:Linear Algebra: Total cpu/real time for bwc: 62397.5/16025.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 39954.4, WCT time 10232.51, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60928 iterations) Info:Linear Algebra: Lingen CPU time 395.45, WCT time 100.59 Info:Linear Algebra: Mksol: CPU time 21680.49, WCT time 5547.4, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 148.55/173.089 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 173.0s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 9067.94 Info:Polynomial Selection (root optimized): Rootsieve time: 9065.47 Info:Filtering - Merging: Merged matrix has 1948456 rows and total weight 331244147 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 480.72/136.322 Info:Filtering - Merging: Total cpu/real time for replay: 79.96/68.2484 Info:Quadratic Characters: Total cpu/real time for characters: 77.86/33.631 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66095/41.860/50.196/56.540/0.934 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54073/41.090/44.858/50.900/1.091 Info:Polynomial Selection (size optimized): Total time: 22834.2 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 388.86/328.153 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 304.1s Info:Square Root: Total cpu/real time for sqrt: 904.19/266.483 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 673213/180375 Info:root: Cleaning up computation data in /tmp/cado.wf58hrr5 338072230216591956323932991044902502277756728448252807015742852889 86000954777736070845706764014449659587069716067415955430156066760433512701
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 21:51:12 UTC 2021 年 12 月 31 日 (金) 6 時 51 分 12 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 9, 2022 13:33:46 UTC 2022 年 1 月 9 日 (日) 22 時 33 分 46 秒 (日本時間)

5×10²³⁸-739

c190

name 名前	Dmitry Domanov
date 日付	January 25, 2022 07:08:33 UTC 2022 年 1 月 25 日 (火) 16 時 8 分 33 秒 (日本時間)
composite number 合成数	3427568507662530429041674434849099894657740061311373937810580656459813455060167084480111306975922515934411319643698550539361035183544978686870999732111813651019991263457018127119386542882837<190>
prime factors 素因数	14783191969314265009735635653355073201<38>
composite cofactor 合成数の残り	231855780184495706728566969850556616389233133675995965043949835049813741742436062030532207939722458412634268957375856840019126498737642821963459495094437<153>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2530271516 Step 1 took 9248ms Step 2 took 3361ms ********** Factor found in step 2: 14783191969314265009735635653355073201 Found probable prime factor of 38 digits: 14783191969314265009735635653355073201 Composite cofactor 231855780184495706728566969850556616389233133675995965043949835049813741742436062030532207939722458412634268957375856840019126498737642821963459495094437 has 153 digits

c153

name 名前	Ignacio Santos
date 日付	January 27, 2022 16:02:23 UTC 2022 年 1 月 28 日 (金) 1 時 2 分 23 秒 (日本時間)
composite number 合成数	231855780184495706728566969850556616389233133675995965043949835049813741742436062030532207939722458412634268957375856840019126498737642821963459495094437<153>
prime factors 素因数	1411130999060121656221221549687119998377371<43> 164304930115575628570474413060680831288987640497902319096280503594588060778150410861366670538553818174759098047<111>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2981698075 Step 1 took 5843ms Step 2 took 3594ms ********** Factor found in step 2: 1411130999060121656221221549687119998377371 Found prime factor of 43 digits: 1411130999060121656221221549687119998377371 Prime cofactor 164304930115575628570474413060680831288987640497902319096280503594588060778150410861366670538553818174759098047 has 111 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	1000 / 2078		Dmitry Domanov	January 24, 2022 17:11:17 UTC 2022 年 1 月 25 日 (火) 2 時 11 分 17 秒 (日本時間)

5×10²³⁹-739

c217

composite cofactor 合成数の残り

2088034747840556404586285766550248024143548367994011813581534295458601958405782165473719708427742045726475228806318896747566600150608052474560060540821995719722990961647795024077691191072185200721344807202164190060459<217>

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 24, 2022 15:14:57 UTC 2022 年 1 月 25 日 (火) 0 時 14 分 57 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 08:22:36 UTC 2023 年 9 月 8 日 (金) 17 時 22 分 36 秒 (日本時間)

5×10²⁴¹-739

c200

composite cofactor 合成数の残り

46324408767766851954394310988427954090266961280755411960212984795237977506071843860045629280384576608048010286061634678134395492523263006802540373804265476589243339311289633949701095033357919828301219<200>

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 24, 2022 15:14:21 UTC 2022 年 1 月 25 日 (火) 0 時 14 分 21 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 08:38:50 UTC 2023 年 9 月 8 日 (金) 17 時 38 分 50 秒 (日本時間)

5×10²⁴²-739

c232

composite cofactor 合成数の残り

7829782503361264752134027324257690088241380251341588465169489747246945255710328753277080985975794137974742461633134185156465308069380965236415008938988250210813155181856698447289541707590972578882028008302253816196393013269690593641<232>

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 24, 2022 08:40:16 UTC 2022 年 1 月 24 日 (月) 17 時 40 分 16 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 08:52:23 UTC 2023 年 9 月 8 日 (金) 17 時 52 分 23 秒 (日本時間)

5×10²⁴³-739

c238

composite cofactor 合成数の残り

2656190650740147524828742107793528988336666852600012218476993404678614212213695850233346348667521960056204994169661521625376183000911073393203870601016258542973180442999476730441804190937608737804764674789297676630037797592960032299278313<238>

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 24, 2022 08:40:06 UTC 2022 年 1 月 24 日 (月) 17 時 40 分 6 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 09:00:51 UTC 2023 年 9 月 8 日 (金) 18 時 0 分 51 秒 (日本時間)

5×10²⁴⁵-739

c219

name 名前	Dmitry Domanov
date 日付	January 24, 2022 11:28:07 UTC 2022 年 1 月 24 日 (月) 20 時 28 分 7 秒 (日本時間)
composite number 合成数	804306295494894715096704897915543893020818656722875450060161307066282167297725835849345975967021247632748010509174245804489882310212087460041227276063533467636462124287950225747670769883475775298229591381397672565792579<219>
prime factors 素因数	7389880749234180861861703590009457517<37> 108838873425426466772052868030848075658664433572879516601794059126864582807041228976086490581816035963008567222030505041241355739828132385588271509543591225190503307992881093109675887<183>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=936190924 Step 1 took 15224ms Step 2 took 4899ms ********** Factor found in step 2: 7389880749234180861861703590009457517 Found probable prime factor of 37 digits: 7389880749234180861861703590009457517 Probable prime cofactor 108838873425426466772052868030848075658664433572879516601794059126864582807041228976086490581816035963008567222030505041241355739828132385588271509543591225190503307992881093109675887 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 / 2078		Dmitry Domanov	January 23, 2022 22:26:25 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 25 秒 (日本時間)

5×10²⁴⁷-739

c236

composite cofactor 合成数の残り

14524070957515219176715689371931331409961163101339202226653395750619310131749450662808063149213333226709397908874096495858235104383506362503362307739198017452144289635861225855847120934733839086202009413021917481722627096808083854389027<236>

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 23, 2022 22:26:06 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 6 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 09:20:12 UTC 2023 年 9 月 8 日 (金) 18 時 20 分 12 秒 (日本時間)

5×10²⁴⁸-739

c233

composite cofactor 合成数の残り

40593989493560901864048469694814151649020091304069896985151238737040163850901084962543081399599585842769826904022914413937737112985584161291499912621549580031190245040558835159954372558836487489678429409376668187438459318942438717023<233>

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 23, 2022 22:26:54 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 54 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 09:35:43 UTC 2023 年 9 月 8 日 (金) 18 時 35 分 43 秒 (日本時間)

5×10²⁵⁰-739

c248

composite cofactor 合成数の残り

16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509<248>

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 23, 2022 22:25:53 UTC 2022 年 1 月 24 日 (月) 7 時 25 分 53 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 09:53:16 UTC 2023 年 9 月 8 日 (金) 18 時 53 分 16 秒 (日本時間)

5×10²⁵¹-739

c213

composite cofactor 合成数の残り

422827486758713677188019685424624492634349098154886544626795706320312196730520019480492482321210011879746627768334731305186858366726340558773358725913494398582360895106112796755762475977995442683541449382754011753<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	3350	1000	Dmitry Domanov	January 23, 2022 22:27:04 UTC 2022 年 1 月 24 日 (月) 7 時 27 分 4 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 10:03:06 UTC 2023 年 9 月 8 日 (金) 19 時 3 分 6 秒 (日本時間)

5×10²⁵²-739

c137

name 名前	Eric Jeancolas
date 日付	January 9, 2022 09:55:37 UTC 2022 年 1 月 9 日 (日) 18 時 55 分 37 秒 (日本時間)
composite number 合成数	15393096213257825351029480358543029286306077862982609574933436533965573603187350463174831789327748134010588958515741362402405520436330103<137>
prime factors 素因数	449342310829812419167976689814803273013153<42> 34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151<95>
factorization results 素因数分解の結果	15393096213257825351029480358543029286306077862982609574933436533965573603187350463174831789327748134010588958515741362402405520436330103=44934231082981241916797668981480327301315334256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151 cado polynomial n: 15393096213257825351029480358543029286306077862982609574933436533965573603187350463174831789327748134010588958515741362402405520436330103 skew: 45149.935 c0: 40163380606353866630934495512 c1: 26509238345219274680951634 c2: 101926170940839314027 c3: -17607901059410525 c4: 27768637288 c5: -1028160 Y0: -164485400423071355525645648 Y1: 37252865504843539687 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.802e-08 # f(x) = -1028160x^5+27768637288x^4-17607901059410525x^3+101926170940839314027x^2+26509238345219274680951634x+40163380606353866630934495512 # g(x) = 37252865504843539687*x-164485400423071355525645648 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: 449342310829812419167976689814803273013153 34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151 Info:Square Root: Total cpu/real time for sqrt: 573.26/170.555 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 274.51/257.875 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 219.1s Info:Square Root: Total cpu/real time for sqrt: 573.26/170.555 Info:Filtering - Singleton removal: Total cpu/real time for purge: 179.49/209.046 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17583470 Info:Lattice Sieving: Average J: 3782.21 for 903531 special-q, max bucket fill -bkmult 1.0,1s:1.194620 Info:Lattice Sieving: Total time: 294852s Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.04262 Info:Linear Algebra: Total cpu/real time for bwc: 38480/9884.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 24552.45, WCT time 6278.57, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48640 iterations) Info:Linear Algebra: Lingen CPU time 297.72, WCT time 75.62 Info:Linear Algebra: Mksol: CPU time 13353.27, WCT time 3427.44, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24320 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 247.32/62.7781 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 78.64/90.525 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.10000000000001s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 7218.18 Info:Polynomial Selection (root optimized): Rootsieve time: 7215.69 Info:Filtering - Merging: Merged matrix has 1552141 rows and total weight 264332394 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 425.48/117.787 Info:Filtering - Merging: Total cpu/real time for replay: 58.49/49.8234 Info:Quadratic Characters: Total cpu/real time for characters: 52.43/21.9158 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): 54096/40.880/48.955/53.790/0.952 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43674/40.140/43.865/49.670/1.191 Info:Polynomial Selection (size optimized): Total time: 11161.6 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 610440/163483 Info:root: Cleaning up computation data in /tmp/cado.amhi4s_t 449342310829812419167976689814803273013153 34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151
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 13:29:12 UTC 2021 年 12 月 30 日 (木) 22 時 29 分 12 秒 (日本時間)

5×10²⁵³-739

c177

composite cofactor 合成数の残り	609870524781081363573476904007584875639137047899416814195478773676615105727610757814873183089510012978208033042318906703199337568213675316409603668199754464993455270817225952257<177>

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 23, 2022 22:26:37 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 37 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 10:11:44 UTC 2023 年 9 月 8 日 (金) 19 時 11 分 44 秒 (日本時間)

5×10²⁵⁴-739

c196

name 名前	Dmitry Domanov
date 日付	January 25, 2022 07:09:47 UTC 2022 年 1 月 25 日 (火) 16 時 9 分 47 秒 (日本時間)
composite number 合成数	5405237885855351144299263305008916486523580602958372719198639524806971074857404524047126985129662124766691021669226006536954719528094894061323922459750078532764785879371173148121389583900853976901<196>
prime factors 素因数	49882823851024982803895787418112377415179<41> 108358698817815329862454845824172409937978580372144488517691150194348123088148404529822405740338693896468934793934357670118444056711545589130862618974081519<156>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=425516692 Step 1 took 11708ms Step 2 took 4380ms ********** Factor found in step 2: 49882823851024982803895787418112377415179 Found probable prime factor of 41 digits: 49882823851024982803895787418112377415179 Probable prime cofactor 108358698817815329862454845824172409937978580372144488517691150194348123088148404529822405740338693896468934793934357670118444056711545589130862618974081519 has 156 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 22:27:17 UTC 2022 年 1 月 24 日 (月) 7 時 27 分 17 秒 (日本時間)

5×10²⁵⁹-739

c242

composite cofactor 合成数の残り

69671996235598264190996107232362969458588185538895856562493585269185409729523502640338835638937068800894169391137744344203846009899876671081872630206282313490365708653783175975702211457289860514833707448847392721858688592996157778902794456201<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	3350	1000	Dmitry Domanov	January 23, 2022 22:25:16 UTC 2022 年 1 月 24 日 (月) 7 時 25 分 16 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 10:30:30 UTC 2023 年 9 月 8 日 (金) 19 時 30 分 30 秒 (日本時間)

5×10²⁶⁰-739

c208

name 名前	Ignacio Santos
date 日付	September 8, 2023 10:48:19 UTC 2023 年 9 月 8 日 (金) 19 時 48 分 19 秒 (日本時間)
composite number 合成数	2342920709522779244903929913746981638369489511334589134388275320184833149180460159764570486717018542836703140124715928401414964528178648495007584141342440584433138049271017536248445330416201208078341165610651<208>
prime factors 素因数	1474387790509144724008994703446507499137<40> 1589080379398494173440608189674171115711334316031504191208738350838442837385999281330490253640250609731387993942727546508891952392884106867265032637928280901295918026523<169>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2119521142 Step 1 took 8844ms Step 2 took 3922ms ********** Factor found in step 2: 1474387790509144724008994703446507499137 Found prime factor of 40 digits: 1474387790509144724008994703446507499137 Prime cofactor 1589080379398494173440608189674171115711334316031504191208738350838442837385999281330490253640250609731387993942727546508891952392884106867265032637928280901295918026523 has 169 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	1000 / 2078		Dmitry Domanov	January 23, 2022 22:27:28 UTC 2022 年 1 月 24 日 (月) 7 時 27 分 28 秒 (日本時間)

5×10²⁶¹-739

c230

composite cofactor 合成数の残り

82952798474626978303178732469606865454985514468393409705994865038596398205343668735191776620081254462830364330166253450873594199653186122121209826455616600848044219785775185775874410160661075801571852460989091467719152823550504459<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	3350	1000	Dmitry Domanov	January 23, 2022 22:25:00 UTC 2022 年 1 月 24 日 (月) 7 時 25 分 0 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 8, 2023 10:48:40 UTC 2023 年 9 月 8 日 (金) 19 時 48 分 40 秒 (日本時間)

5×10²⁶³-739

c177

composite cofactor 合成数の残り	168695876738009963032109861718443428092431255089409405124232387820031804582887601780322822677117254154088299840175502397286797178867364693083413142073770836871438903005439546921<177>

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 14:10:09 UTC 2021 年 12 月 31 日 (金) 23 時 10 分 9 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 8, 2022 12:51:17 UTC 2022 年 1 月 8 日 (土) 21 時 51 分 17 秒 (日本時間)
50	43e6	1792 / 6453	Dmitry Domanov	May 8, 2024 16:14:49 UTC 2024 年 5 月 9 日 (木) 1 時 14 分 49 秒 (日本時間)

5×10²⁶⁷-739

c256

name 名前	Ignacio Santos
date 日付	September 7, 2023 06:36:50 UTC 2023 年 9 月 7 日 (木) 15 時 36 分 50 秒 (日本時間)
composite number 合成数	3096313911260403330682126343772614883573452550379401612936271001925187647776796575127408744889389295475440830949111777655702883262722289831510607767612603637026633487730636073149135480937564449422824775986726145635591919857095580559472623560909898013446831<256>
prime factors 素因数	2873821699756709254459559774918344850317643<43>
composite cofactor 合成数の残り	1077420325527686608024492619010131972773902212437952984574342835678230032395982467358506991303393645092560005210204005825991097445054337573583415270303875265202379538480919882767960176328884590581667378654106278317<214>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1679097661 Step 1 took 8437ms ********** Factor found in step 2: 2873821699756709254459559774918344850317643 Found prime factor of 43 digits: 2873821699756709254459559774918344850317643 Composite cofactor 1077420325527686608024492619010131972773902212437952984574342835678230032395982467358506991303393645092560005210204005825991097445054337573583415270303875265202379538480919882767960176328884590581667378654106278317 has 214 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	3350	1000	Dmitry Domanov	January 5, 2022 23:03:41 UTC 2022 年 1 月 6 日 (木) 8 時 3 分 41 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 9, 2023 06:28:09 UTC 2023 年 9 月 9 日 (土) 15 時 28 分 9 秒 (日本時間)

5×10²⁶⁸-739

c233

composite cofactor 合成数の残り

38468723858227803643959140544684727810211933591471960386808623162258781940218192369374313201310295416691377270107614322723258203017415153169000909156954825850516764594198774048836070571690945808570226306068114893437903598009375045911<233>

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 23, 2022 19:49:41 UTC 2022 年 1 月 24 日 (月) 4 時 49 分 41 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 07:17:26 UTC 2023 年 9 月 7 日 (木) 16 時 17 分 26 秒 (日本時間)

5×10²⁶⁹-739

c251

composite cofactor 合成数の残り

99660148264655199772039794722443323218775576283481169421995457735403230377649839461401005603986999430382439288905227754301180600286598174488964160725090737494116728473295360535938568190352054788573932921905650954152192039831448805188958824131337402939<251>

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 5, 2022 23:03:31 UTC 2022 年 1 月 6 日 (木) 8 時 3 分 31 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 07:17:47 UTC 2023 年 9 月 7 日 (木) 16 時 17 分 47 秒 (日本時間)

5×10²⁷⁰-739

c243

composite cofactor 合成数の残り

481488393588986206088428296055878249907557345848821606034305060059430184960259371340913950216544193197595043357059672417687333615370304627791388122702148977691752644804635888034601338836361776633676469972806320477396182657924378158158899403957<243>

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 23, 2022 13:19:57 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 57 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 07:18:10 UTC 2023 年 9 月 7 日 (木) 16 時 18 分 10 秒 (日本時間)

5×10²⁷²-739

c271

composite cofactor 合成数の残り

3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701<271>

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 5, 2022 23:02:58 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 58 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 07:32:36 UTC 2023 年 9 月 7 日 (木) 16 時 32 分 36 秒 (日本時間)

5×10²⁷³-739

c227

composite cofactor 合成数の残り

29536292572266306744232275106701792149670385610534634197765449999483011436709459902100697187974129198904108766385848358567355836124637802983341543891763257462976640219709836487284255554710242778245707325430945917064500295235831<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	3350	1000	Dmitry Domanov	January 23, 2022 13:19:47 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 47 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 07:47:45 UTC 2023 年 9 月 7 日 (木) 16 時 47 分 45 秒 (日本時間)

5×10²⁷⁵-739

c246

composite cofactor 合成数の残り

296297807750697829447065015462696655647146334157773851393884689814551728120176254678276490449039534323971581553865032982393675441073573525619706924505816618153227685816080523278037076101044865060174856348649763106965847158455364799945549039651417<246>

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 23, 2022 13:19:38 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 38 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 08:14:54 UTC 2023 年 9 月 7 日 (木) 17 時 14 分 54 秒 (日本時間)

5×10²⁷⁶-739

c192

name 名前	Dmitry Domanov
date 日付	January 24, 2022 11:26:49 UTC 2022 年 1 月 24 日 (月) 20 時 26 分 49 秒 (日本時間)
composite number 合成数	136185682291299189778200878635243070287363560981632000655816441681894049570865986829112345081331832055509989503157345668812423607099539560106219499106198601904152226650039483976345841929830119<192>
prime factors 素因数	4203701924119101300787234394171966753<37> 32396607739935632899379846460595307512175809889822715263321132358318821270417195082827719150873584179879498564982614122463119808254468339455470398708431623<155>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4203885967 Step 1 took 8541ms Step 2 took 3307ms ********** Factor found in step 2: 4203701924119101300787234394171966753 Found probable prime factor of 37 digits: 4203701924119101300787234394171966753 Probable prime cofactor 32396607739935632899379846460595307512175809889822715263321132358318821270417195082827719150873584179879498564982614122463119808254468339455470398708431623 has 155 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 13:19:28 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 28 秒 (日本時間)

5×10²⁷⁷-739

c238

composite cofactor 合成数の残り

4885925754262367790066635593639014949526313007382034934719957369092741020903560643349981411018067457581094620015007717474026456605502298396288917491082522713333795330174870252099029946780539328402284161590506600340174629086891821462844683<238>

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 23, 2022 13:19:19 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 19 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 08:25:01 UTC 2023 年 9 月 7 日 (木) 17 時 25 分 1 秒 (日本時間)

5×10²⁷⁸-739

c277

composite cofactor 合成数の残り

1234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567<277>

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 5, 2022 21:34:07 UTC 2022 年 1 月 6 日 (木) 6 時 34 分 7 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 08:38:04 UTC 2023 年 9 月 7 日 (木) 17 時 38 分 4 秒 (日本時間)

5×10²⁷⁹-739

c173

name 名前	Ignacio Santos
date 日付	December 31, 2021 13:03:47 UTC 2021 年 12 月 31 日 (金) 22 時 3 分 47 秒 (日本時間)
composite number 合成数	78040465823691935768875032286261759775156976995260056327686316549069060419985305230025767725701127383616466771898034756249472851377030024871106735321834805778473216331287531<173>
prime factors 素因数	87919226081950922382897226010761683617<38> 887638225465601397010147749536583650755552513471393003608756816819247492172572464940841071989772182275285868190389606485732675672076043<135>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3722094379 Step 1 took 7281ms Step 2 took 4047ms ********** Factor found in step 2: 87919226081950922382897226010761683617 Found prime factor of 38 digits: 87919226081950922382897226010761683617 Prime cofactor 887638225465601397010147749536583650755552513471393003608756816819247492172572464940841071989772182275285868190389606485732675672076043 has 135 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)

5×10²⁸⁰-739

c268

name 名前	Dmitry Domanov
date 日付	January 6, 2022 07:54:32 UTC 2022 年 1 月 6 日 (木) 16 時 54 分 32 秒 (日本時間)
composite number 合成数	4750789145819015749764493809320392292612913660161074718697718062160113143132622807724270890420935303764465897749096811068281722643904954088998392697577547023423484194444755192731084365746308783775725674673235603919695689813606386410789676567116949254088697651639471999<268>
prime factors 素因数	253439210034885095177358492671578637<36>
composite cofactor 合成数の残り	18745280752591853670093198123636220539022655324274136154129833504464787833339685460262783539623090722328623822592694703950372205435302724647351008408157875101051237492185802898358230900647312729341382649743789555040182555369642762427<233>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2918905858 Step 1 took 14864ms Step 2 took 4894ms ********** Factor found in step 2: 253439210034885095177358492671578637 Found probable prime factor of 36 digits: 253439210034885095177358492671578637 Composite cofactor 18745280752591853670093198123636220539022655324274136154129833504464787833339685460262783539623090722328623822592694703950372205435302724647351008408157875101051237492185802898358230900647312729341382649743789555040182555369642762427 has 233 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 5, 2022 23:02:10 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 10 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 09:10:28 UTC 2023 年 9 月 7 日 (木) 18 時 10 分 28 秒 (日本時間)

5×10²⁸¹-739

c273

composite cofactor 合成数の残り

730567298876959528522256904443601808121919759324246873330859194118956622194039858100744631449947639876405838872111045586530074836610997949889351564464940656127897319409042066349990581891666527676238055325116365307290596271422671471432455228699015470704985535169294250583663<273>

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 5, 2022 23:02:21 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 21 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 09:10:50 UTC 2023 年 9 月 7 日 (木) 18 時 10 分 50 秒 (日本時間)

5×10²⁸²-739

c271

composite cofactor 合成数の残り

7167020578116926991087322575213351069898301413049051162348762318072321783287427828685725898817785299799232701516142066752623687238672346880999466765849768649906295755924135197122633549115822308957006433961035730242420349802962020897001001163491175006044321676122609970557<271>

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 5, 2022 23:03:09 UTC 2022 年 1 月 6 日 (木) 8 時 3 分 9 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 09:59:28 UTC 2023 年 9 月 7 日 (木) 18 時 59 分 28 秒 (日本時間)

5×10²⁸³-739

c280

composite cofactor 合成数の残り

2369106846718787017294479981047145226249703861644160151622838190002369106846718787017294479981047145226249703861644160151622838190002369106846718787017294479981047145226249703861644160151622838190002369106846718787017294479981047145226249703861644160151622838190002369106846718787<280>

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 5, 2022 19:00:45 UTC 2022 年 1 月 6 日 (木) 4 時 0 分 45 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 09:59:44 UTC 2023 年 9 月 7 日 (木) 18 時 59 分 44 秒 (日本時間)

5×10²⁸⁴-739

c181

name 名前	Dmitry Domanov
date 日付	April 26, 2024 08:23:54 UTC 2024 年 4 月 26 日 (金) 17 時 23 分 54 秒 (日本時間)
composite number 合成数	8973220824496208459631863318957163869564462497331078378477399392448765753063180110165076275580326314649040645505593125493629229791154530786771107162418764445132522592764445132308013<181>
prime factors 素因数	169378117853912152351790943402658971148372751<45> 52977450323515639436282906686745682891264400238574457042822606496714354012153829255587335429227413368138908414501175082181964465384149763<137>
factorization results 素因数分解の結果	Resuming ECM residue saved by @01c1ed0c8d6b with GMP-ECM 7.0.5-dev on Fri Apr 26 01:14:31 2024 Input number is 8973220824496208459631863318957163869564462497331078378477399392448765753063180110165076275580326314649040645505593125493629229791154530786771107162418764445132522592764445132308013 (181 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:284861574 Step 1 took 0ms Step 2 took 25480ms ********** Factor found in step 2: 169378117853912152351790943402658971148372751 Found prime factor of 45 digits: 169378117853912152351790943402658971148372751 Prime cofactor 52977450323515639436282906686745682891264400238574457042822606496714354012153829255587335429227413368138908414501175082181964465384149763 has 137 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	2350	Ignacio Santos	December 31, 2021 14:12:44 UTC 2021 年 12 月 31 日 (金) 23 時 12 分 44 秒 (日本時間)
45	11e6	4480	Ignacio Santos	January 8, 2022 19:13:03 UTC 2022 年 1 月 9 日 (日) 4 時 13 分 3 秒 (日本時間)
50	43e6	1792 / 6453	Dmitry Domanov	April 25, 2024 23:28:58 UTC 2024 年 4 月 26 日 (金) 8 時 28 分 58 秒 (日本時間)

5×10²⁸⁵-739

c277

name 名前	Ignacio Santos
date 日付	September 7, 2023 12:51:58 UTC 2023 年 9 月 7 日 (木) 21 時 51 分 58 秒 (日本時間)
composite number 合成数	3444855322673345662401636074783992155540812263745578170789609033482695025928271987229177230100210186814056317383587737104612122846172675998028757328417276758295236592198505736819192079941395294485403601988264390703116777291822371974216925219766181616224356372102014167980301959<277>
prime factors 素因数	135912493878469834664935893566038567203959460977<48>
composite cofactor 合成数の残り	25346126940718670500673019025499411853917347904000302773551027586633627788660955263356864242648827759058766678970490603605396530747375002395081988423675627937252027896275505363508466176700916333775186589052578200627721221684264567<230>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3295695565 Step 1 took 14125ms Step 2 took 5563ms ********** Factor found in step 2: 135912493878469834664935893566038567203959460977 Found prime factor of 48 digits: 135912493878469834664935893566038567203959460977 Composite cofactor 25346126940718670500673019025499411853917347904000302773551027586633627788660955263356864242648827759058766678970490603605396530747375002395081988423675627937252027896275505363508466176700916333775186589052578200627721221684264567 has 230 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	3350	1000	Dmitry Domanov	January 5, 2022 20:37:27 UTC 2022 年 1 月 6 日 (木) 5 時 37 分 27 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 9, 2023 06:38:59 UTC 2023 年 9 月 9 日 (土) 15 時 38 分 59 秒 (日本時間)

5×10²⁸⁶-739

c233

composite cofactor 合成数の残り

11863526391571309230750448658981306866814943685864809808557062298138710132910342752670458179582036574275039835415235945145534872332033000859165387462952844386553567699962622191908653912272519134993858947883921129936521982848259002847<233>

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 23, 2022 13:18:36 UTC 2022 年 1 月 23 日 (日) 22 時 18 分 36 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 12:52:30 UTC 2023 年 9 月 7 日 (木) 21 時 52 分 30 秒 (日本時間)

5×10²⁸⁷-739

c233

name 名前	Ignacio Santos
date 日付	September 7, 2023 12:53:12 UTC 2023 年 9 月 7 日 (木) 21 時 53 分 12 秒 (日本時間)
composite number 合成数	33265265316200629706816155004225435430422055674317468175497643206339398446775375687392450906827722027449829264193675986858824158694265275634876631330752519866104483085445470066773180032941885844270285972440873717743360330061500247959<233>
prime factors 素因数	2021947345981633650694812463982958482329<40> 16452092772005742720002642225302252884047508235250601471353627280122871408824986459830188194305998311409946492005489882155519891257391005230856008566841952451225194200637483037365803780660599471<194>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:78392048 Step 1 took 11547ms Step 2 took 4687ms ********** Factor found in step 2: 2021947345981633650694812463982958482329 Found prime factor of 40 digits: 2021947345981633650694812463982958482329 Prime cofactor 16452092772005742720002642225302252884047508235250601471353627280122871408824986459830188194305998311409946492005489882155519891257391005230856008566841952451225194200637483037365803780660599471 has 194 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	1000 / 2078		Dmitry Domanov	January 23, 2022 08:17:01 UTC 2022 年 1 月 23 日 (日) 17 時 17 分 1 秒 (日本時間)

5×10²⁸⁹-739

c276

name 名前	Dmitry Domanov
date 日付	January 5, 2022 18:57:43 UTC 2022 年 1 月 6 日 (木) 3 時 57 分 43 秒 (日本時間)
composite number 合成数	562006515522895195897578470712790520552157830287053064387034094280692549768116365106801324023717429181522967970989348794288371217571730135394535601349340949443382190065197634011028509783667646428936124227928005317191310956337250684241317147345867554988800606068933088081068183<276>
prime factors 素因数	21159144469607653869939571561535892539<38>
composite cofactor 合成数の残り	26560928128740938326780239383130816420952292635031211699462253332619095439517467158398679773116594683672671359282695133123755200588073777936713576360128085594884594262821892565291640379481479381592181934105040123453459546319422713872442197<239>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1316901987 Step 1 took 35181ms Step 2 took 12388ms ********** Factor found in step 2: 21159144469607653869939571561535892539 Found prime factor of 38 digits: 21159144469607653869939571561535892539 Composite cofactor 26560928128740938326780239383130816420952292635031211699462253332619095439517467158398679773116594683672671359282695133123755200588073777936713576360128085594884594262821892565291640379481479381592181934105040123453459546319422713872442197 has 239 digits

c239

name 名前	Ignacio Santos
date 日付	September 7, 2023 13:04:12 UTC 2023 年 9 月 7 日 (木) 22 時 4 分 12 秒 (日本時間)
composite number 合成数	26560928128740938326780239383130816420952292635031211699462253332619095439517467158398679773116594683672671359282695133123755200588073777936713576360128085594884594262821892565291640379481479381592181934105040123453459546319422713872442197<239>
prime factors 素因数	1376763388087297773405278404567890614017523<43> 19292296961528994231335079763747307457966775051144813164478310770748352298769003891756403629974249475243828078338219922515945133947347797777164666321477448995592390164898404198678192665518358815639<197>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:78771862 Step 1 took 11531ms Step 2 took 2344ms ********** Factor found in step 2: 1376763388087297773405278404567890614017523 Found prime factor of 43 digits: 1376763388087297773405278404567890614017523 Prime cofactor 19292296961528994231335079763747307457966775051144813164478310770748352298769003891756403629974249475243828078338219922515945133947347797777164666321477448995592390164898404198678192665518358815639 has 197 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	1000 / 2078		Dmitry Domanov	January 5, 2022 16:38:16 UTC 2022 年 1 月 6 日 (木) 1 時 38 分 16 秒 (日本時間)

5×10²⁹⁰-739

c238

composite cofactor 合成数の残り

2780241176984627517745398879512760559403235569929057334579014354682292615899062590072440441092215329699506857349242974155757533982263530537080188796026852228584535957809397913263426635839620272967767024647644526730249275710032525812121467<238>

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 23, 2022 08:16:50 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 50 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 13:17:15 UTC 2023 年 9 月 7 日 (木) 22 時 17 分 15 秒 (日本時間)

5×10²⁹¹-739

c222

name 名前	Dmitry Domanov
date 日付	January 23, 2022 13:17:32 UTC 2022 年 1 月 23 日 (日) 22 時 17 分 32 秒 (日本時間)
composite number 合成数	165342355815052367867215148523115457386544726783325710077287411484589639458943253793982700453522187640253014648395242726280202876913814982621895432622884878655619914757261179024586902809548367173422586438242245665441954147<222>
prime factors 素因数	1306600015478024578303498028577866512739<40> 126543972031533490377307016219996842882378290806148696693748597958346246381867626079720478468724777654197324803352940735298096913596519643263972766084985777431812487520639109338447873<183>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3797521235 Step 1 took 15695ms Step 2 took 5349ms ********** Factor found in step 2: 1306600015478024578303498028577866512739 Found probable prime factor of 40 digits: 1306600015478024578303498028577866512739 Probable prime cofactor 126543972031533490377307016219996842882378290806148696693748597958346246381867626079720478468724777654197324803352940735298096913596519643263972766084985777431812487520639109338447873 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 / 2078		Dmitry Domanov	January 23, 2022 08:16:40 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 40 秒 (日本時間)

5×10²⁹²-739

c233

composite cofactor 合成数の残り

79110645882738700916965108578586463597392135171842195329756191284095726764040645557245018268431591743054316492418957509093797181138307348852463708495173032789793091823347094327170917425249501092462472901567305820680724282252241446567<233>

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 23, 2022 08:16:31 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 31 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 13:28:03 UTC 2023 年 9 月 7 日 (木) 22 時 28 分 3 秒 (日本時間)

5×10²⁹³-739

c234

composite cofactor 合成数の残り

376128441732512696810247841655940197422693525591020712194303526969080808799288870436325894743079805547940341031583989403345983246376663694786857961574117665981220066769918784253463223804601359694677790133355354712880828895337853979797<234>

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 23, 2022 08:16:22 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 22 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 14:00:55 UTC 2023 年 9 月 7 日 (木) 23 時 0 分 55 秒 (日本時間)

5×10²⁹⁵-739

c263

composite cofactor 合成数の残り

82754587529820492418142149552686748394844922819315169365458864254581710081051115853877484102021342912355558503372732176578225607484173747516611424540911356332692768835832284456116566891247680284459984333762592529470750579664398275042816411290077298961425476356211<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	3350	1000	Dmitry Domanov	January 5, 2022 23:02:33 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 33 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 14:01:19 UTC 2023 年 9 月 7 日 (木) 23 時 1 分 19 秒 (日本時間)

5×10²⁹⁶-739

c275

name 名前	Dmitry Domanov
date 日付	January 5, 2022 18:03:51 UTC 2022 年 1 月 6 日 (木) 3 時 3 分 51 秒 (日本時間)
composite number 合成数	37688261952472128554074915981828774879496800645129755368880813557240982984903340280155396964209803521826236429428717419327398141386521193838630301830535870390611865841771969762044931990564124568895908652564625450394760626811970974724454842120023652276072161315598411491410893<275>
prime factors 素因数	122278619188430958069054568563095259093013<42>
composite cofactor 合成数の残り	308216286727891802191941958964557981216436773659748028103735167273180696780912575794932039342589499764413670296935102906129865478864866092787366419603537157775554357103266006846838205957843132163154916547304435208828958609464093356761<234>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3228733716 Step 1 took 14878ms Step 2 took 5882ms ********** Factor found in step 2: 122278619188430958069054568563095259093013 Found prime factor of 42 digits: 122278619188430958069054568563095259093013 Composite cofactor 308216286727891802191941958964557981216436773659748028103735167273180696780912575794932039342589499764413670296935102906129865478864866092787366419603537157775554357103266006846838205957843132163154916547304435208828958609464093356761 has 234 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 5, 2022 13:15:41 UTC 2022 年 1 月 5 日 (水) 22 時 15 分 41 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 14:33:53 UTC 2023 年 9 月 7 日 (木) 23 時 33 分 53 秒 (日本時間)

5×10²⁹⁷-739

c226

composite cofactor 合成数の残り

1917921547442317231543152711532187768080538190504623879317462381836829706304836368349423061217878040828752953862247111052315658262239923737632564360269873835531879177757626434737469494487721850781849447296998554018449034792789<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	3350	1000	Dmitry Domanov	January 23, 2022 08:16:15 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 15 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 14:34:33 UTC 2023 年 9 月 7 日 (木) 23 時 34 分 33 秒 (日本時間)

5×10²⁹⁸-739

c263

composite cofactor 合成数の残り

42691727314660083706049827400253294280858936780223857856484644655727596570380646975982536403431846983278125238813177673955098831097669814576104893437378610321595036522832807891028004570311570317400270258841050197750910358277906026938218709184555585270961416850363<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	3350	1000	Dmitry Domanov	January 5, 2022 23:02:47 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 47 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 15:00:02 UTC 2023 年 9 月 8 日 (金) 0 時 0 分 2 秒 (日本時間)

5×10²⁹⁹-739

c269

composite cofactor 合成数の残り

83672275273822756711855094545013785453310597843443173393733672977450838727002713800723796993754588188340019794886984445911057551491007650030389053169470377505149602094753416076528563884277322108151130076342983039112428591851756832049433891663067783316559915722072811291<269>

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 5, 2022 13:20:45 UTC 2022 年 1 月 5 日 (水) 22 時 20 分 45 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	September 7, 2023 15:00:18 UTC 2023 年 9 月 8 日 (金) 0 時 0 分 18 秒 (日本時間)

5×10³⁰⁰-739

c291

composite cofactor 合成数の残り

101930581699564818481674055090101225276097412130707134665916126922550836214370391070568809360259794053379710141580667740600955757216221170838647304557589899661882836244933664409693122793078869427816021933266820183520705843983176331803980238419265439825516910062671352551278930485192607440569<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	December 29, 2021 00:18:32 UTC 2021 年 12 月 29 日 (水) 9 時 18 分 32 秒 (日本時間)
45	11e6	3600	1800	Dmitry Domanov	December 31, 2021 09:22:37 UTC 2021 年 12 月 31 日 (金) 18 時 22 分 37 秒 (日本時間)
45	11e6	3600	1800	Dmitry Domanov	January 4, 2022 00:10:10 UTC 2022 年 1 月 4 日 (火) 9 時 10 分 10 秒 (日本時間)
50	43e6	200 / 6702		Dmitry Domanov	January 6, 2022 14:44:05 UTC 2022 年 1 月 6 日 (木) 23 時 44 分 5 秒 (日本時間)