Contributed factorization results of 922...224

Table of contents 目次

83×10¹¹⁷+169
- c114
- ECM
83×10¹²⁴+169
- c112
- ECM
83×10¹²⁸+169
- c116
- ECM
83×10¹³¹+169
- c102
- ECM
83×10¹³⁹+169
- c138
- ECM
83×10¹⁴⁰+169
- c138
- ECM
83×10¹⁴¹+169
- c141
- ECM
83×10¹⁴⁷+169
- c110
- ECM
83×10¹⁴⁹+169
- c122
- ECM
83×10¹⁵⁰+169
- c123
- ECM
83×10¹⁵¹+169
- c138
- ECM
83×10¹⁵³+169
- c120
- ECM
83×10¹⁵⁵+169
- c130
- ECM
83×10¹⁵⁷+169
- c157
- ECM
83×10¹⁵⁸+169
- c151
- ECM
83×10¹⁵⁹+169
- c120
- ECM
83×10¹⁶¹+169
- c150
- ECM
83×10¹⁶⁵+169
- c156
- ECM
83×10¹⁷¹+169
- c171
- ECM
83×10¹⁷⁴+169
- c139
- ECM
83×10¹⁷⁸+169
- c172
- ECM
83×10¹⁸⁰+169
- c179
- c140
- ECM
83×10¹⁸¹+169
- c154
- ECM
83×10¹⁸²+169
- c108
- ECM
83×10¹⁸⁸+169
- c159
- ECM
83×10¹⁹³+169
- c167
- ECM
83×10¹⁹⁵+169
- c185
- ECM
83×10¹⁹⁶+169
- c162
- ECM
83×10¹⁹⁷+169
- c169
- ECM
83×10¹⁹⁸+169
- c163
- ECM
83×10²⁰⁰+169
- c170
- ECM
83×10²⁰⁴+169
- c196
- ECM
83×10²⁰⁶+169
- c182
- ECM
83×10²⁰⁸+169
- c136
- ECM
83×10²¹³+169
- c182
- ECM
83×10²¹⁴+169
- c175
- ECM
83×10²¹⁵+169
- c188
- ECM
83×10²¹⁷+169
- c192
- c153
- c111
- ECM
83×10²¹⁸+169
- c188
- ECM
83×10²¹⁹+169
- c219
- ECM
83×10²²²+169
- c209
- ECM
83×10²²⁴+169
- c182
- ECM
83×10²²⁵+169
- c212
- ECM
83×10²²⁶+169
- c218
- ECM
83×10²²⁹+169
- c159
- ECM
83×10²³⁰+169
- c203
- ECM
83×10²³¹+169
- c224
- ECM
83×10²³³+169
- c182
- ECM
83×10²³⁴+169
- c181
- ECM
83×10²³⁵+169
- c232
- ECM
83×10²⁴⁰+169
- c226
- ECM
83×10²⁴¹+169
- c221
- ECM
83×10²⁴²+169
- c213
- ECM
83×10²⁴³+169
- c240
- ECM
83×10²⁴⁴+169
- c187
- ECM
83×10²⁴⁵+169
- c230
- ECM
83×10²⁴⁷+169
- c196
- ECM
83×10²⁴⁸+169
- c232
- ECM
83×10²⁵⁰+169
- c234
- ECM
83×10²⁵¹+169
- c237
- ECM
83×10²⁵²+169
- c236
- ECM
83×10²⁵⁴+169
- c192
- ECM
83×10²⁵⁸+169
- c201
- ECM
83×10²⁶⁰+169
- c195
- ECM
83×10²⁶³+169
- c225
- ECM
83×10²⁶⁶+169
- c257
- ECM
83×10²⁶⁷+169
- c237
- ECM
83×10²⁶⁸+169
- c209
- ECM
83×10²⁶⁹+169
- c243
- ECM
83×10²⁷⁰+169
- c255
- ECM
83×10²⁷²+169
- c229
- ECM
83×10²⁷³+169
- c185
- ECM
83×10²⁷⁷+169
- c233
- ECM
83×10²⁷⁸+169
- c210
- ECM
83×10²⁷⁹+169
- c272
- ECM
83×10²⁸⁰+169
- c214
- ECM
83×10²⁸¹+169
- c261
- ECM
83×10²⁸²+169
- c252
- ECM
83×10²⁸³+169
- c272
- ECM
83×10²⁸⁴+169
- c194
- ECM
83×10²⁸⁶+169
- c218
- ECM
83×10²⁸⁹+169
- c269
- ECM
83×10²⁹¹+169
- c239
- ECM
83×10²⁹²+169
- c207
- ECM
83×10²⁹⁴+169
- c230
- ECM
83×10²⁹⁶+169
- c218
- ECM
83×10²⁹⁷+169
- c297
- ECM
83×10²⁹⁹+169
- c282
- ECM

83×10¹¹⁷+169

c114

name 名前	Dmitry Domanov
date 日付	February 22, 2023 07:34:40 UTC 2023 年 2 月 22 日 (水) 16 時 34 分 40 秒 (日本時間)
composite number 合成数	389188986420586690674469202490809513091754820316602895941180883787230850026258534023557656238277440168054617750769<114>
prime factors 素因数	646824246471002234525030502266857337259815261<45> 601692018417609542583379443006474668387864489509199674582810555096229<69>
factorization results 素因数分解の結果	N=389188986420586690674469202490809513091754820316602895941180883787230850026258534023557656238277440168054617750769 ( 114 digits) SNFS difficulty: 118 digits. Divisors found: r1=646824246471002234525030502266857337259815261 (pp45) r2=601692018417609542583379443006474668387864489509199674582810555096229 (pp69) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.01 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 389188986420586690674469202490809513091754820316602895941180883787230850026258534023557656238277440168054617750769 m: 100000000000000000000000000000 deg: 4 c4: 415 c0: 8 skew: 0.37 # Murphy_E = 4.043e-08 type: snfs lss: 1 rlim: 660000 alim: 660000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 660000/660000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [330000, 630001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 61366 x 61592 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000 total time: 0.01 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹²⁴+169

c112

name 名前	Dmitry Domanov
date 日付	February 22, 2023 13:08:40 UTC 2023 年 2 月 22 日 (水) 22 時 8 分 40 秒 (日本時間)
composite number 合成数	7489834045781084224064757145686214360556945214316081153137223761547224323258741288917634904991276780255780905677<112>
prime factors 素因数	13255695926521915657347451431762232769163509<44> 565027599252293490877526337072727768056948259393408129891559031743353<69>
factorization results 素因数分解の結果	N=7489834045781084224064757145686214360556945214316081153137223761547224323258741288917634904991276780255780905677 ( 112 digits) SNFS difficulty: 125 digits. Divisors found: r1=13255695926521915657347451431762232769163509 (pp44) r2=565027599252293490877526337072727768056948259393408129891559031743353 (pp69) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.04 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 7489834045781084224064757145686214360556945214316081153137223761547224323258741288917634904991276780255780905677 m: 10000000000000000000000000000000 deg: 4 c4: 83 c0: 16 skew: 0.66 # Murphy_E = 2.203e-08 type: snfs lss: 1 rlim: 880000 alim: 880000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 880000/880000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [440000, 740001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 94413 x 94642 Total sieving time: 0.00 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000 total time: 0.04 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹²⁸+169

c116

name 名前	Dmitry Domanov
date 日付	March 13, 2023 19:56:33 UTC 2023 年 3 月 14 日 (火) 4 時 56 分 33 秒 (日本時間)
composite number 合成数	99361105062436035459525447969747327141019601659262530582565036238040476100487217499176666378862227630599525103509633<116>
prime factors 素因数	164047361085695531290053106793126594356637658406417019<54> 605685482563364711710209784454142734193372850414736362850899507<63>
factorization results 素因数分解の結果	N=99361105062436035459525447969747327141019601659262530582565036238040476100487217499176666378862227630599525103509633 ( 116 digits) SNFS difficulty: 129 digits. Divisors found: r1=164047361085695531290053106793126594356637658406417019 (pp54) r2=605685482563364711710209784454142734193372850414736362850899507 (pp63) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.03 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 99361105062436035459525447969747327141019601659262530582565036238040476100487217499176666378862227630599525103509633 m: 100000000000000000000000000000000 deg: 4 c4: 83 c0: 16 skew: 0.66 # Murphy_E = 1.411e-08 type: snfs lss: 1 rlim: 1020000 alim: 1020000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1020000/1020000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [510000, 910001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 118617 x 118842 Total sieving time: 0.00 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000 total time: 0.03 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	7000		x_49997	March 11, 2023 15:01:28 UTC 2023 年 3 月 12 日 (日) 0 時 1 分 28 秒 (日本時間)

83×10¹³¹+169

c102

name 名前	Lionel Debroux
date 日付	March 6, 2023 22:58:15 UTC 2023 年 3 月 7 日 (火) 7 時 58 分 15 秒 (日本時間)
composite number 合成数	265644196651187998289877433297804489614465640911520118297714487950912183787447275422837088602526128583<102>
prime factors 素因数	3206441738645652491541359628542598225536187960971<49> 82847036778965981192177018149924123518555798437438773<53>
factorization results 素因数分解の結果	82847036778965981192177018149924123518555798437438773 3206441738645652491541359628542598225536187960971
software ソフトウェア	CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹³⁹+169

c138

name 名前	Bob Backstrom
date 日付	February 22, 2023 08:33:34 UTC 2023 年 2 月 22 日 (水) 17 時 33 分 34 秒 (日本時間)
composite number 合成数	122635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487<138>
prime factors 素因数	2227015452375557477693205940754894162940669512387<49> 55067392404184181255317798135121145054291923321230297237516924160475714517445510479350301<89>
factorization results 素因数分解の結果	Number: n N=122635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487 ( 138 digits) SNFS difficulty: 140 digits. Divisors found: Wed Feb 22 17:14:35 2023 prp49 factor: 2227015452375557477693205940754894162940669512387 Wed Feb 22 17:14:35 2023 prp89 factor: 55067392404184181255317798135121145054291923321230297237516924160475714517445510479350301 Wed Feb 22 17:14:35 2023 elapsed time 00:03:32 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.076). Factorization parameters were as follows: # # N = 83x10^139+16 = 92(138)4 # n: 122635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487 m: 5000000000000000000000000000 deg: 5 c5: 83 c0: 5 skew: 0.57 # Murphy_E = 4.778e-09 type: snfs lss: 1 rlim: 1530000 alim: 1530000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1530000/1530000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 9165000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 700236 hash collisions in 8019877 relations (7883515 unique) Msieve: matrix is 284231 x 284477 (42.7 MB) Sieving start time: 2023/02/22 16:49:54 Sieving end time : 2023/02/22 17:10:53 Total sieving time: 0hrs 20min 59secs. Total relation processing time: 0hrs 1min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 10sec. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁴⁰+169

c138

name 名前	Bob Backstrom
date 日付	February 22, 2023 08:28:24 UTC 2023 年 2 月 22 日 (水) 17 時 28 分 24 秒 (日本時間)
composite number 合成数	249518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999519<138>
prime factors 素因数	3376972580931087988077994712452115081162085593550327049876633553341<67> 73888369993872720529925526863909944866315478178395903543514285130176459<71>
factorization results 素因数分解の結果	Number: n N=249518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999519 ( 138 digits) SNFS difficulty: 141 digits. Divisors found: Wed Feb 22 16:47:14 2023 prp67 factor: 3376972580931087988077994712452115081162085593550327049876633553341 Wed Feb 22 16:47:14 2023 prp71 factor: 73888369993872720529925526863909944866315478178395903543514285130176459 Wed Feb 22 16:47:14 2023 elapsed time 00:03:02 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.076). Factorization parameters were as follows: # # N = 83x10^140+16 = 92(139)4 # n: 249518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999518999519 m: 100000000000000000000000000000000000 deg: 4 c4: 83 c0: 16 skew: 0.66 # Murphy_E = 3.601e-09 type: snfs lss: 1 rlim: 1620000 alim: 1620000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1620000/1620000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 12010000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 443255 hash collisions in 6555795 relations (6844871 unique) Msieve: matrix is 236452 x 236677 (64.0 MB) Sieving start time: 2023/02/22 15:33:37 Sieving end time : 2023/02/22 16:37:49 Total sieving time: 1hrs 4min 12secs. Total relation processing time: 0hrs 1min 30sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 21sec. Prototype def-par.txt line would be: snfs,141,4,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁴¹+169

c141

name 名前	Bob Backstrom
date 日付	February 23, 2023 03:32:36 UTC 2023 年 2 月 23 日 (木) 12 時 32 分 36 秒 (日本時間)
composite number 合成数	576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<141>
prime factors 素因数	7597067774441152597196088676641695053406426382912207918052928650849<67> 75869915341289500873028759286902155881441168594124415776294634880242527961<74>
factorization results 素因数分解の結果	Number: n N=576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 ( 141 digits) SNFS difficulty: 142 digits. Divisors found: Thu Feb 23 14:21:49 2023 prp67 factor: 7597067774441152597196088676641695053406426382912207918052928650849 Thu Feb 23 14:21:49 2023 prp74 factor: 75869915341289500873028759286902155881441168594124415776294634880242527961 Thu Feb 23 14:21:49 2023 elapsed time 00:03:49 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.086). Factorization parameters were as follows: # # N = 83x10^141+16 = 92(140)4 # n: 576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 m: 10000000000000000000000000000 deg: 5 c5: 415 c0: 8 skew: 0.45 # Murphy_E = 3.286e-09 type: snfs lss: 1 rlim: 1670000 alim: 1670000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1670000/1670000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 26435000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 462237 hash collisions in 6682732 relations (6689648 unique) Msieve: matrix is 284421 x 284646 (77.7 MB) Sieving start time: 2023/02/23 13:16:39 Sieving end time : 2023/02/23 14:09:49 Total sieving time: 0hrs 53min 10secs. Total relation processing time: 0hrs 2min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 27sec. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁴⁷+169

c110

name 名前	Lionel Debroux
date 日付	March 9, 2023 09:22:42 UTC 2023 年 3 月 9 日 (木) 18 時 22 分 42 秒 (日本時間)
composite number 合成数	77142948931566105597248450791893835948859469562263843897505140994284583425960009465324400541550829602281802503<110>
prime factors 素因数	6102120646543856000507491697607435417031<40> 12641990121132502336879248187394503021191925745064111832868783507538113<71>
factorization results 素因数分解の結果	12641990121132502336879248187394503021191925745064111832868783507538113 6102120646543856000507491697607435417031
software ソフトウェア	CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁴⁹+169

c122

name 名前	Bob Backstrom
date 日付	February 27, 2023 12:31:03 UTC 2023 年 2 月 27 日 (月) 21 時 31 分 3 秒 (日本時間)
composite number 合成数	11411765896809541280513310195684875826538428456458066026447604641786991574674289312399437067269856752425239726050385815803<122>
prime factors 素因数	957381745481681302802886927342255881406387331<45> 11919765496539745602769086791849422581944787390173332383996388740677714665513<77>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 11411765896809541280513310195684875826538428456458066026447604641786991574674289312399437067269856752425239726050385815803 (122 digits) Using B1=39400000, B2=192393080896, polynomial Dickson(12), sigma=1:970809911 Step 1 took 61718ms Step 2 took 22826ms ********** Factor found in step 2: 957381745481681302802886927342255881406387331 Found prime factor of 45 digits: 957381745481681302802886927342255881406387331 Prime cofactor 11919765496539745602769086791849422581944787390173332383996388740677714665513 has 77 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵⁰+169

c123

name 名前	Bob Backstrom
date 日付	February 28, 2023 01:47:36 UTC 2023 年 2 月 28 日 (火) 10 時 47 分 36 秒 (日本時間)
composite number 合成数	212916214580874400396883260871168862764904783488792816004133731585814409404064977848554463619541421046339772613035255183453<123>
prime factors 素因数	43987815864934415835942585991454676470696296969784389<53> 4840345227292904382361394146716633799813682125659363831464359975819577<70>
factorization results 素因数分解の結果	Number: n N=212916214580874400396883260871168862764904783488792816004133731585814409404064977848554463619541421046339772613035255183453 ( 123 digits) SNFS difficulty: 151 digits. Divisors found: Tue Feb 28 12:44:52 2023 prp53 factor: 43987815864934415835942585991454676470696296969784389 Tue Feb 28 12:44:52 2023 prp70 factor: 4840345227292904382361394146716633799813682125659363831464359975819577 Tue Feb 28 12:44:52 2023 elapsed time 00:06:45 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.093). Factorization parameters were as follows: # # N = 83x10^150+16 = 92(149)4 # n: 212916214580874400396883260871168862764904783488792816004133731585814409404064977848554463619541421046339772613035255183453 m: 1000000000000000000000000000000 deg: 5 c5: 83 c0: 16 skew: 0.72 # Murphy_E = 1.495e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved special-q in [100000, 12400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1084103 hash collisions in 13745525 relations (13585838 unique) Msieve: matrix is 424759 x 425004 (63.6 MB) Sieving start time: 2023/02/28 11:36:27 Sieving end time : 2023/02/28 12:37:59 Total sieving time: 1hrs 1min 32secs. Total relation processing time: 0hrs 3min 40sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 16sec. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵¹+169

c138

name 名前	Bob Backstrom
date 日付	February 28, 2023 23:19:57 UTC 2023 年 3 月 1 日 (水) 8 時 19 分 57 秒 (日本時間)
composite number 合成数	495024642209177384346075912109400188670234104642010509554163108144176084719540330235151652364092313805066171803933126729462529284700227487<138>
prime factors 素因数	166469047354011113439930775086530677352508278177<48> 2973673785472345597940961378629885445785779887515257128688688687601736955185874199259252031<91>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 495024642209177384346075912109400188670234104642010509554163108144176084719540330235151652364092313805066171803933126729462529284700227487 (138 digits) Using B1=31990000, B2=144291357226, polynomial Dickson(12), sigma=1:718816149 Step 1 took 67202ms Step 2 took 24662ms ********** Factor found in step 2: 166469047354011113439930775086530677352508278177 Found prime factor of 48 digits: 166469047354011113439930775086530677352508278177 Prime cofactor 2973673785472345597940961378629885445785779887515257128688688687601736955185874199259252031 has 91 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵³+169

c120

name 名前	Bob Backstrom
date 日付	March 1, 2023 21:48:20 UTC 2023 年 3 月 2 日 (木) 6 時 48 分 20 秒 (日本時間)
composite number 合成数	121197211712335546349805399394284564086672511857399752722355046316526635313616882725304447535568766668260781511205181073<120>
prime factors 素因数	231977048223508616995648512143249785631791<42> 522453460980168589099115975943758892674257117609019958043408464703490151952703<78>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 121197211712335546349805399394284564086672511857399752722355046316526635313616882725304447535568766668260781511205181073 (120 digits) Using B1=30590000, B2=144289975846, polynomial Dickson(12), sigma=1:761707885 Step 1 took 48511ms Step 2 took 19273ms ********** Factor found in step 2: 231977048223508616995648512143249785631791 Found prime factor of 42 digits: 231977048223508616995648512143249785631791 Prime cofactor 522453460980168589099115975943758892674257117609019958043408464703490151952703 has 78 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵⁵+169

c130

name 名前	Bob Backstrom
date 日付	March 2, 2023 04:16:02 UTC 2023 年 3 月 2 日 (木) 13 時 16 分 2 秒 (日本時間)
composite number 合成数	2258286431697721284540550069459600159055333892818324921197117433582907351467751392814045655855131753277352942363397650539722646777<130>
prime factors 素因数	4469323507993319289204184141478979349855571186033<49> 505285962776874229782662612115647758019077926776202806669878823057675097332418569<81>
factorization results 素因数分解の結果	Number: n N=2258286431697721284540550069459600159055333892818324921197117433582907351467751392814045655855131753277352942363397650539722646777 ( 130 digits) SNFS difficulty: 156 digits. Divisors found: Thu Mar 2 15:11:42 2023 prp49 factor: 4469323507993319289204184141478979349855571186033 Thu Mar 2 15:11:42 2023 prp81 factor: 505285962776874229782662612115647758019077926776202806669878823057675097332418569 Thu Mar 2 15:11:42 2023 elapsed time 00:08:01 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.101). Factorization parameters were as follows: # # N = 83x10^155+16 = 92(154)4 # n: 2258286431697721284540550069459600159055333892818324921197117433582907351467751392814045655855131753277352942363397650539722646777 m: 10000000000000000000000000000000 deg: 5 c5: 83 c0: 16 skew: 0.72 # Murphy_E = 9.624e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 12650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1252189 hash collisions in 14771766 relations (14522285 unique) Msieve: matrix is 391564 x 391790 (106.4 MB) Sieving start time: 2023/03/02 13:45:10 Sieving end time : 2023/03/02 15:03:31 Total sieving time: 1hrs 18min 21secs. Total relation processing time: 0hrs 3min 54sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 16sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵⁷+169

c157

name 名前	Bob Backstrom
date 日付	March 3, 2023 05:37:03 UTC 2023 年 3 月 3 日 (金) 14 時 37 分 3 秒 (日本時間)
composite number 合成数	5763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<157>
prime factors 素因数	35936261144227764997830524115415824635387527306651839987601735114523<68> 160392002544613888416295773125864804732367385379376733058412912670646194540015375022102843<90>
factorization results 素因数分解の結果	Number: n N=5763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 ( 157 digits) SNFS difficulty: 158 digits. Divisors found: Fri Mar 3 16:32:24 2023 prp68 factor: 35936261144227764997830524115415824635387527306651839987601735114523 Fri Mar 3 16:32:24 2023 prp90 factor: 160392002544613888416295773125864804732367385379376733058412912670646194540015375022102843 Fri Mar 3 16:32:24 2023 elapsed time 00:09:04 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.085). Factorization parameters were as follows: # # N = 83x10^157+16 = 92(156)4 # n: 5763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 m: 10000000000000000000000000000000 deg: 5 c5: 2075 c0: 4 skew: 0.29 # Murphy_E = 7.037e-10 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 12700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1074381 hash collisions in 12864187 relations (12627666 unique) Msieve: matrix is 484102 x 484337 (133.2 MB) Sieving start time: 2023/03/03 14:48:58 Sieving end time : 2023/03/03 16:23:11 Total sieving time: 1hrs 34min 13secs. Total relation processing time: 0hrs 6min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 29sec. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵⁸+169

c151

name 名前	Bob Backstrom
date 日付	March 3, 2023 20:20:06 UTC 2023 年 3 月 4 日 (土) 5 時 20 分 6 秒 (日本時間)
composite number 合成数	1615940571066825025416058438317215217824630366482954705296377845613327541428518690501321272445091344003986238023968496538455932540550864374944265625629<151>
prime factors 素因数	20362503838420173173706011912191660384943932913980226834355359765737339<71> 79358638008841152937534788508601936723179370685325219057417973744980641121079111<80>
factorization results 素因数分解の結果	Number: n N=1615940571066825025416058438317215217824630366482954705296377845613327541428518690501321272445091344003986238023968496538455932540550864374944265625629 ( 151 digits) SNFS difficulty: 159 digits. Divisors found: Sat Mar 4 07:16:03 2023 prp71 factor: 20362503838420173173706011912191660384943932913980226834355359765737339 Sat Mar 4 07:16:03 2023 prp80 factor: 79358638008841152937534788508601936723179370685325219057417973744980641121079111 Sat Mar 4 07:16:03 2023 elapsed time 00:08:58 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.093). Factorization parameters were as follows: # # N = 83x10^158+16 = 92(157)4 # n: 1615940571066825025416058438317215217824630366482954705296377845613327541428518690501321272445091344003986238023968496538455932540550864374944265625629 m: 10000000000000000000000000000000 deg: 5 c5: 10375 c0: 2 skew: 0.18 # Murphy_E = 7.768e-10 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3100000/3100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 19950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 812799 hash collisions in 11942298 relations (11933573 unique) Msieve: matrix is 429649 x 429893 (119.8 MB) Sieving start time: 2023/03/04 05:00:31 Sieving end time : 2023/03/04 07:06:46 Total sieving time: 2hrs 6min 15secs. Total relation processing time: 0hrs 4min 50sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 52sec. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁵⁹+169

c120

name 名前	Lionel Debroux
date 日付	March 6, 2023 22:06:17 UTC 2023 年 3 月 7 日 (火) 7 時 6 分 17 秒 (日本時間)
composite number 合成数	266603585730116732249443965272325383586208931722988352910758027062379347781882050597921765308704962852470857823859239333<120>
prime factors 素因数	252332044165427012641432056664262859574471386291615817007<57> 1056558577852812871577155751783068551843050985307047178885216619<64>
factorization results 素因数分解の結果	252332044165427012641432056664262859574471386291615817007 1056558577852812871577155751783068551843050985307047178885216619
software ソフトウェア	CADO-NFS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁶¹+169

c150

name 名前	Bob Backstrom
date 日付	March 6, 2023 02:41:14 UTC 2023 年 3 月 6 日 (月) 11 時 41 分 14 秒 (日本時間)
composite number 合成数	762754932914949371885843464946502227767436380730478693835326058652457016719879440859669109201799392963461200793034404914621553293096793390178352883583<150>
prime factors 素因数	507890066153076392748677449404225569960922290105189741<54> 1501811088159888419476118935549303698819700840213016254429988852134652414006651577784586614343963<97>
factorization results 素因数分解の結果	Number: n N=762754932914949371885843464946502227767436380730478693835326058652457016719879440859669109201799392963461200793034404914621553293096793390178352883583 ( 150 digits) SNFS difficulty: 162 digits. Divisors found: Mon Mar 6 13:34:26 2023 prp54 factor: 507890066153076392748677449404225569960922290105189741 Mon Mar 6 13:34:26 2023 prp97 factor: 1501811088159888419476118935549303698819700840213016254429988852134652414006651577784586614343963 Mon Mar 6 13:34:26 2023 elapsed time 00:08:14 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 83x10^161+16 = 92(160)4 # n: 762754932914949371885843464946502227767436380730478693835326058652457016719879440859669109201799392963461200793034404914621553293096793390178352883583 m: 100000000000000000000000000000000 deg: 5 c5: 415 c0: 8 skew: 0.45 # Murphy_E = 5.689e-10 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 5800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1322503 hash collisions in 13501567 relations (13026940 unique) Msieve: matrix is 448559 x 448786 (125.5 MB) Sieving start time: 2023/03/06 12:28:08 Sieving end time : 2023/03/06 13:25:35 Total sieving time: 0hrs 57min 27secs. Total relation processing time: 0hrs 5min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 27sec. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁶⁵+169

c156

name 名前	Bob Backstrom
date 日付	March 8, 2023 08:28:25 UTC 2023 年 3 月 8 日 (水) 17 時 28 分 25 秒 (日本時間)
composite number 合成数	295534461418333352318467134847067886271662075908974347424905089725845411909236297321642594382673073275653596476251560561320370967733583792553964300538756167<156>
prime factors 素因数	86906769450975343431636563358840452796441298298989355169145709<62> 3400591959468084994926984110250474198186836595282992266676551307035437843038873843902675458563<94>
factorization results 素因数分解の結果	Number: n N=295534461418333352318467134847067886271662075908974347424905089725845411909236297321642594382673073275653596476251560561320370967733583792553964300538756167 ( 156 digits) SNFS difficulty: 166 digits. Divisors found: Wed Mar 8 19:21:05 2023 prp62 factor: 86906769450975343431636563358840452796441298298989355169145709 Wed Mar 8 19:21:05 2023 prp94 factor: 3400591959468084994926984110250474198186836595282992266676551307035437843038873843902675458563 Wed Mar 8 19:21:05 2023 elapsed time 00:10:42 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.102). Factorization parameters were as follows: # # N = 83x10^165+16 = 92(164)4 # n: 295534461418333352318467134847067886271662075908974347424905089725845411909236297321642594382673073275653596476251560561320370967733583792553964300538756167 m: 1000000000000000000000000000000000 deg: 5 c5: 83 c0: 16 skew: 0.72 # Murphy_E = 3.929e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 13300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1422533 hash collisions in 13530893 relations (12931754 unique) Msieve: matrix is 534338 x 534570 (149.2 MB) Sieving start time: 2023/03/08 17:55:08 Sieving end time : 2023/03/08 19:09:51 Total sieving time: 1hrs 14min 43secs. Total relation processing time: 0hrs 7min 38sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 30sec. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁷¹+169

c171

name 名前	ebina
date 日付	February 24, 2023 15:28:00 UTC 2023 年 2 月 25 日 (土) 0 時 28 分 0 秒 (日本時間)
composite number 合成数	576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<171>
prime factors 素因数	12841888701679863071762497339724185761586321487<47> 44883498236010311915465984028068492868860835846334305439635334500652612248942953630363613411011264850111522853272989029517047<125>
factorization results 素因数分解の結果	Number: 92224_171 N = 576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (171 digits) SNFS difficulty: 173 digits. Divisors found: r1=12841888701679863071762497339724185761586321487 (pp47) r2=44883498236010311915465984028068492868860835846334305439635334500652612248942953630363613411011264850111522853272989029517047 (pp125) Version: Msieve v. 1.53 (SVN unknown) Total time: 1.88 hours. Factorization parameters were as follows: n: 576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 m: 10000000000000000000000000000000000 deg: 5 c5: 415 c0: 8 skew: 0.45 # Murphy_E = 2.298e-10 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [0, 0) Total raw relations: 11807345 Relations: 1179166 relations Pruned matrix : 743610 x 743835 Total sieving time: 1.68 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.08 hours. time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000 total time: 1.88 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel processors: 16, speed: 3.60GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁷⁴+169

c139

name 名前	anonymous
date 日付	March 12, 2023 12:16:19 UTC 2023 年 3 月 12 日 (日) 21 時 16 分 19 秒 (日本時間)
composite number 合成数	7795433006856469392949475399951987953762743047288465733662942196768604612288316987914673052325204666167078504744384671616814168952684719999<139>
prime factors 素因数	319979619822816620168416995304782061591589<42> 24362279732606284288902934218624819201013097351552657722824561749250227708219452779924736215988691<98>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:17015785648836986414 Step 1 took 41422ms ********** Factor found in step 1: 319979619822816620168416995304782061591589 Found prime factor of 42 digits: 319979619822816620168416995304782061591589 Prime cofactor 24362279732606284288902934218624819201013097351552657722824561749250227708219452779924736215988691 has 98 digits
software ソフトウェア	GMP-ECM 7.0.5

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁷⁸+169

c172

name 名前	Bob Backstrom
date 日付	March 17, 2023 03:27:01 UTC 2023 年 3 月 17 日 (金) 12 時 27 分 1 秒 (日本時間)
composite number 合成数	5391563676107905274357577649170146109037112977969265332801608229391780689793798542911078538271475598484354799499829184869365140389042762817033038358935855514616048432299577<172>
prime factors 素因数	3079956934075899917096341867634965804308882860166173327368271517890012857660260779<82> 1750532163764027496708305602747159620113298411256254017770137917421685640969035895046939563<91>
factorization results 素因数分解の結果	Number: n N=5391563676107905274357577649170146109037112977969265332801608229391780689793798542911078538271475598484354799499829184869365140389042762817033038358935855514616048432299577 ( 172 digits) SNFS difficulty: 179 digits. Divisors found: Fri Mar 17 13:16:35 2023 prp82 factor: 3079956934075899917096341867634965804308882860166173327368271517890012857660260779 Fri Mar 17 13:16:35 2023 prp91 factor: 1750532163764027496708305602747159620113298411256254017770137917421685640969035895046939563 Fri Mar 17 13:16:35 2023 elapsed time 00:32:11 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.100). Factorization parameters were as follows: # # N = 83x10^178+16 = 92(177)4 # n: 5391563676107905274357577649170146109037112977969265332801608229391780689793798542911078538271475598484354799499829184869365140389042762817033038358935855514616048432299577 m: 100000000000000000000000000000000000 deg: 5 c5: 10375 c0: 2 skew: 0.18 # Murphy_E = 1.263e-10 type: snfs lss: 1 rlim: 6700000 alim: 6700000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6700000/6700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved special-q in [100000, 14550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1626494 hash collisions in 13934891 relations (13117891 unique) Msieve: matrix is 996125 x 996350 (283.1 MB) Sieving start time: 2023/03/17 10:49:11 Sieving end time : 2023/03/17 12:44:07 Total sieving time: 1hrs 54min 56secs. Total relation processing time: 0hrs 27min 56sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 18sec. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,27,27,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁸⁰+169

c179

name 名前	Ignacio Santos
date 日付	March 15, 2023 16:23:07 UTC 2023 年 3 月 16 日 (木) 1 時 23 分 7 秒 (日本時間)
composite number 合成数	52398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<179>
prime factors 素因数	2666387328166191502556606704689173284411<40>
composite cofactor 合成数の残り	19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209<140>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1129702477 Step 1 took 4266ms ********** Factor found in step 1: 2666387328166191502556606704689173284411 Found prime factor of 40 digits: 2666387328166191502556606704689173284411 Composite cofactor 19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209 has 140 digits
software ソフトウェア	GMP-ECM

c140

name 名前	Eric Jeancolas
date 日付	May 12, 2023 13:38:43 UTC 2023 年 5 月 12 日 (金) 22 時 38 分 43 秒 (日本時間)
composite number 合成数	19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209<140>
prime factors 素因数	382985074767058282204926431417050399792404487491803<51> 51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603<89>
factorization results 素因数分解の結果	19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209=38298507476705828220492643141705039979240448749180351311868421002465883777635617488549671298305800172373884588721032601387150783916780837603 cado polynomial n: 19651679763655086198420415459940248751623778228406439040015425864921125309489262671974895425115288404851010060317792114840891860090936668209 skew: 0.72 type: snfs c0: 16 c5: 83 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 83x^5+16 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7500000 tasks.lim1 = 7500000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 53 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 382985074767058282204926431417050399792404487491803 51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603 Info:Square Root: Total cpu/real time for sqrt: 597.1/184.513 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22409136 Info:Lattice Sieving: Average J: 1894.01 for 879772 special-q, max bucket fill -bkmult 1.0,1s:1.169010 Info:Lattice Sieving: Total time: 150625s Info:Linear Algebra: Total cpu/real time for bwc: 16430.4/4218.02 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 10425.17, WCT time 2665.94, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (32256 iterations) Info:Linear Algebra: Lingen CPU time 186.62, WCT time 47.45 Info:Linear Algebra: Mksol: CPU time 5652.07, WCT time 1443.4, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 3.16/1.83023 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 228.05/220.743 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 204.2s Info:Generate Free Relations: Total cpu/real time for freerel: 120.61/31.4794 Info:Square Root: Total cpu/real time for sqrt: 597.1/184.513 Info:Quadratic Characters: Total cpu/real time for characters: 34.08/13.3689 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.32/90.9907 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.8s Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.62/119.992 Info:Filtering - Merging: Merged matrix has 1024094 rows and total weight 174199154 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 245.77/67.6027 Info:Filtering - Merging: Total cpu/real time for replay: 34.89/30.1811 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 305817/55654.3 Info:root: Cleaning up computation data in /tmp/cado.rcgkh0ck 382985074767058282204926431417050399792404487491803 51311868421002465883777635617488549671298305800172373884588721032601387150783916780837603
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic\|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 28, 2023 14:05:57 UTC 2023 年 3 月 28 日 (火) 23 時 5 分 57 秒 (日本時間)

83×10¹⁸¹+169

c154

name 名前	Bob Backstrom
date 日付	March 26, 2023 22:41:14 UTC 2023 年 3 月 27 日 (月) 7 時 41 分 14 秒 (日本時間)
composite number 合成数	1129956925030103861798493779398328855928664456843649692421144764353835764241415195419275344490198210494420922783806175903867197558893787254415015326752233<154>
prime factors 素因数	600581352805555409252113068100142900888152238763096705793351333828400633<72> 1881438575726042256381595221157173890918387821867902166994045529136383076912825201<82>
factorization results 素因数分解の結果	Number: n N=1129956925030103861798493779398328855928664456843649692421144764353835764241415195419275344490198210494420922783806175903867197558893787254415015326752233 ( 154 digits) SNFS difficulty: 182 digits. Divisors found: Mon Mar 27 09:23:21 2023 prp72 factor: 600581352805555409252113068100142900888152238763096705793351333828400633 Mon Mar 27 09:23:21 2023 prp82 factor: 1881438575726042256381595221157173890918387821867902166994045529136383076912825201 Mon Mar 27 09:23:21 2023 elapsed time 00:30:47 (Msieve 1.44 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.085). Factorization parameters were as follows: # # N = 83x10^181+16 = 92(180)4 # n: 1129956925030103861798493779398328855928664456843649692421144764353835764241415195419275344490198210494420922783806175903867197558893787254415015326752233 m: 1000000000000000000000000000000000000 deg: 5 c5: 415 c0: 8 skew: 0.45 # Murphy_E = 9.112e-11 type: snfs lss: 1 rlim: 7700000 alim: 7700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 7700000/7700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1570524 hash collisions in 14864563 relations (14225725 unique) Msieve: matrix is 893107 x 893335 (251.4 MB) Sieving start time: 2023/03/27 05:16:13 Sieving end time : 2023/03/27 08:52:15 Total sieving time: 3hrs 36min 2secs. Total relation processing time: 0hrs 23min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 22sec. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁸²+169

c108

name 名前	Ignacio Santos
date 日付	February 21, 2023 15:45:35 UTC 2023 年 2 月 22 日 (水) 0 時 45 分 35 秒 (日本時間)
composite number 合成数	111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121<108>
prime factors 素因数	73591735798902730752296399463616101631<38> 1514389333036533745649169140237246250805750411710940477161154378061791<70>
factorization results 素因数分解の結果	-> makeJobFile(): Adjusted to q0=1250000, q1=1400000. -> client 1 q0: 1250000 LatSieveTime: 55 LatSieveTime: 57 LatSieveTime: 58 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 -> makeJobFile(): Adjusted to q0=1400001, q1=1550000. -> client 1 q0: 1400001 LatSieveTime: 56 LatSieveTime: 57 LatSieveTime: 57 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 72 -> makeJobFile(): Adjusted to q0=1550001, q1=1700000. -> client 1 q0: 1550001 LatSieveTime: 55 LatSieveTime: 57 LatSieveTime: 58 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 -> makeJobFile(): Adjusted to q0=1700001, q1=1850000. -> client 1 q0: 1700001 LatSieveTime: 57 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 74 -> makeJobFile(): Adjusted to q0=1850001, q1=2000000. -> client 1 q0: 1850001 LatSieveTime: 50 LatSieveTime: 57 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 73 -> makeJobFile(): Adjusted to q0=2000001, q1=2150000. -> client 1 q0: 2000001 LatSieveTime: 56 LatSieveTime: 57 LatSieveTime: 58 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 60 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 74 LatSieveTime: 75 LatSieveTime: 75 -> makeJobFile(): Adjusted to q0=2150001, q1=2300000. -> client 1 q0: 2150001 LatSieveTime: 55 LatSieveTime: 60 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 61 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 73 LatSieveTime: 74 LatSieveTime: 76 LatSieveTime: 77 Tue Feb 21 16:39:32 2023 Tue Feb 21 16:39:32 2023 Tue Feb 21 16:39:32 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 16:39:32 2023 random seeds: 12deb918 4105f37b Tue Feb 21 16:39:32 2023 factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits) Tue Feb 21 16:39:32 2023 searching for 15-digit factors Tue Feb 21 16:39:32 2023 commencing number field sieve (108-digit input) Tue Feb 21 16:39:32 2023 R0: -448803636962759163237 Tue Feb 21 16:39:32 2023 R1: 139366391767 Tue Feb 21 16:39:32 2023 A0: -1545105850288077205104800 Tue Feb 21 16:39:32 2023 A1: 1881779913360336949228 Tue Feb 21 16:39:32 2023 A2: -309085230512344651 Tue Feb 21 16:39:32 2023 A3: 6214138540094 Tue Feb 21 16:39:32 2023 A4: 1512494052 Tue Feb 21 16:39:32 2023 A5: 6120 Tue Feb 21 16:39:32 2023 skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3 Tue Feb 21 16:39:32 2023 Tue Feb 21 16:39:32 2023 commencing relation filtering Tue Feb 21 16:39:32 2023 estimated available RAM is 65413.5 MB Tue Feb 21 16:39:32 2023 commencing duplicate removal, pass 1 Tue Feb 21 16:39:40 2023 found 442869 hash collisions in 4359735 relations Tue Feb 21 16:39:45 2023 added 31614 free relations Tue Feb 21 16:39:45 2023 commencing duplicate removal, pass 2 Tue Feb 21 16:39:46 2023 found 357278 duplicates and 4034071 unique relations Tue Feb 21 16:39:46 2023 memory use: 17.3 MB Tue Feb 21 16:39:46 2023 reading ideals above 100000 Tue Feb 21 16:39:46 2023 commencing singleton removal, initial pass Tue Feb 21 16:39:59 2023 memory use: 94.1 MB Tue Feb 21 16:39:59 2023 reading all ideals from disk Tue Feb 21 16:39:59 2023 memory use: 130.4 MB Tue Feb 21 16:39:59 2023 keeping 4618565 ideals with weight <= 200, target excess is 22658 Tue Feb 21 16:39:59 2023 commencing in-memory singleton removal Tue Feb 21 16:39:59 2023 begin with 4034071 relations and 4618565 unique ideals Tue Feb 21 16:40:00 2023 reduce to 1168299 relations and 1205754 ideals in 22 passes Tue Feb 21 16:40:00 2023 max relations containing the same ideal: 81 Tue Feb 21 16:40:00 2023 filtering wants 1000000 more relations Tue Feb 21 16:40:00 2023 elapsed time 00:00:28 -> makeJobFile(): Adjusted to q0=2300001, q1=2450000. -> client 1 q0: 2300001 LatSieveTime: 56 LatSieveTime: 58 LatSieveTime: 59 LatSieveTime: 59 LatSieveTime: 60 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 62 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 63 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 64 LatSieveTime: 65 LatSieveTime: 65 LatSieveTime: 66 LatSieveTime: 66 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 67 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 68 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 69 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 70 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 71 LatSieveTime: 72 LatSieveTime: 72 LatSieveTime: 74 LatSieveTime: 75 LatSieveTime: 76 LatSieveTime: 79 Tue Feb 21 16:41:22 2023 Tue Feb 21 16:41:22 2023 Tue Feb 21 16:41:22 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 16:41:22 2023 random seeds: ffebeb70 8b65b952 Tue Feb 21 16:41:22 2023 factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits) Tue Feb 21 16:41:23 2023 searching for 15-digit factors Tue Feb 21 16:41:23 2023 commencing number field sieve (108-digit input) Tue Feb 21 16:41:23 2023 R0: -448803636962759163237 Tue Feb 21 16:41:23 2023 R1: 139366391767 Tue Feb 21 16:41:23 2023 A0: -1545105850288077205104800 Tue Feb 21 16:41:23 2023 A1: 1881779913360336949228 Tue Feb 21 16:41:23 2023 A2: -309085230512344651 Tue Feb 21 16:41:23 2023 A3: 6214138540094 Tue Feb 21 16:41:23 2023 A4: 1512494052 Tue Feb 21 16:41:23 2023 A5: 6120 Tue Feb 21 16:41:23 2023 skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3 Tue Feb 21 16:41:23 2023 Tue Feb 21 16:41:23 2023 commencing relation filtering Tue Feb 21 16:41:23 2023 estimated available RAM is 65413.5 MB Tue Feb 21 16:41:23 2023 commencing duplicate removal, pass 1 Tue Feb 21 16:41:32 2023 found 554653 hash collisions in 4997204 relations Tue Feb 21 16:41:37 2023 added 435 free relations Tue Feb 21 16:41:37 2023 commencing duplicate removal, pass 2 Tue Feb 21 16:41:38 2023 found 448250 duplicates and 4549389 unique relations Tue Feb 21 16:41:38 2023 memory use: 24.6 MB Tue Feb 21 16:41:39 2023 reading ideals above 100000 Tue Feb 21 16:41:39 2023 commencing singleton removal, initial pass Tue Feb 21 16:41:54 2023 memory use: 94.1 MB Tue Feb 21 16:41:54 2023 reading all ideals from disk Tue Feb 21 16:41:54 2023 memory use: 147.3 MB Tue Feb 21 16:41:54 2023 keeping 4869149 ideals with weight <= 200, target excess is 24468 Tue Feb 21 16:41:54 2023 commencing in-memory singleton removal Tue Feb 21 16:41:54 2023 begin with 4549389 relations and 4869149 unique ideals Tue Feb 21 16:41:55 2023 reduce to 1795578 relations and 1659063 ideals in 14 passes Tue Feb 21 16:41:55 2023 max relations containing the same ideal: 107 Tue Feb 21 16:41:55 2023 removing 338289 relations and 284223 ideals in 54066 cliques Tue Feb 21 16:41:55 2023 commencing in-memory singleton removal Tue Feb 21 16:41:55 2023 begin with 1457289 relations and 1659063 unique ideals Tue Feb 21 16:41:56 2023 reduce to 1406982 relations and 1322578 ideals in 8 passes Tue Feb 21 16:41:56 2023 max relations containing the same ideal: 88 Tue Feb 21 16:41:56 2023 removing 262172 relations and 208106 ideals in 54066 cliques Tue Feb 21 16:41:56 2023 commencing in-memory singleton removal Tue Feb 21 16:41:56 2023 begin with 1144810 relations and 1322578 unique ideals Tue Feb 21 16:41:56 2023 reduce to 1105526 relations and 1073704 ideals in 10 passes Tue Feb 21 16:41:56 2023 max relations containing the same ideal: 77 Tue Feb 21 16:41:56 2023 relations with 0 large ideals: 81 Tue Feb 21 16:41:56 2023 relations with 1 large ideals: 193 Tue Feb 21 16:41:56 2023 relations with 2 large ideals: 3396 Tue Feb 21 16:41:56 2023 relations with 3 large ideals: 26922 Tue Feb 21 16:41:56 2023 relations with 4 large ideals: 109606 Tue Feb 21 16:41:56 2023 relations with 5 large ideals: 250720 Tue Feb 21 16:41:56 2023 relations with 6 large ideals: 331975 Tue Feb 21 16:41:56 2023 relations with 7+ large ideals: 382633 Tue Feb 21 16:41:56 2023 commencing 2-way merge Tue Feb 21 16:41:57 2023 reduce to 647507 relation sets and 615685 unique ideals Tue Feb 21 16:41:57 2023 commencing full merge Tue Feb 21 16:42:03 2023 memory use: 77.0 MB Tue Feb 21 16:42:04 2023 found 318100 cycles, need 311885 Tue Feb 21 16:42:04 2023 weight of 311885 cycles is about 22139989 (70.99/cycle) Tue Feb 21 16:42:04 2023 distribution of cycle lengths: Tue Feb 21 16:42:04 2023 1 relations: 33537 Tue Feb 21 16:42:04 2023 2 relations: 32220 Tue Feb 21 16:42:04 2023 3 relations: 32159 Tue Feb 21 16:42:04 2023 4 relations: 29496 Tue Feb 21 16:42:04 2023 5 relations: 27422 Tue Feb 21 16:42:04 2023 6 relations: 25245 Tue Feb 21 16:42:04 2023 7 relations: 22414 Tue Feb 21 16:42:04 2023 8 relations: 19984 Tue Feb 21 16:42:04 2023 9 relations: 17503 Tue Feb 21 16:42:04 2023 10+ relations: 71905 Tue Feb 21 16:42:04 2023 heaviest cycle: 22 relations Tue Feb 21 16:42:04 2023 commencing cycle optimization Tue Feb 21 16:42:04 2023 start with 2004849 relations Tue Feb 21 16:42:06 2023 pruned 51985 relations Tue Feb 21 16:42:06 2023 memory use: 64.4 MB Tue Feb 21 16:42:06 2023 distribution of cycle lengths: Tue Feb 21 16:42:06 2023 1 relations: 33537 Tue Feb 21 16:42:06 2023 2 relations: 32952 Tue Feb 21 16:42:06 2023 3 relations: 33192 Tue Feb 21 16:42:06 2023 4 relations: 30251 Tue Feb 21 16:42:06 2023 5 relations: 28121 Tue Feb 21 16:42:06 2023 6 relations: 25780 Tue Feb 21 16:42:06 2023 7 relations: 22916 Tue Feb 21 16:42:06 2023 8 relations: 20164 Tue Feb 21 16:42:06 2023 9 relations: 17530 Tue Feb 21 16:42:06 2023 10+ relations: 67442 Tue Feb 21 16:42:06 2023 heaviest cycle: 22 relations Tue Feb 21 16:42:06 2023 RelProcTime: 43 Tue Feb 21 16:42:06 2023 elapsed time 00:00:44 Tue Feb 21 16:42:06 2023 Tue Feb 21 16:42:06 2023 Tue Feb 21 16:42:06 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 16:42:06 2023 random seeds: bec63204 9e71e06d Tue Feb 21 16:42:06 2023 factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits) Tue Feb 21 16:42:07 2023 searching for 15-digit factors Tue Feb 21 16:42:07 2023 commencing number field sieve (108-digit input) Tue Feb 21 16:42:07 2023 R0: -448803636962759163237 Tue Feb 21 16:42:07 2023 R1: 139366391767 Tue Feb 21 16:42:07 2023 A0: -1545105850288077205104800 Tue Feb 21 16:42:07 2023 A1: 1881779913360336949228 Tue Feb 21 16:42:07 2023 A2: -309085230512344651 Tue Feb 21 16:42:07 2023 A3: 6214138540094 Tue Feb 21 16:42:07 2023 A4: 1512494052 Tue Feb 21 16:42:07 2023 A5: 6120 Tue Feb 21 16:42:07 2023 skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3 Tue Feb 21 16:42:07 2023 Tue Feb 21 16:42:07 2023 commencing linear algebra Tue Feb 21 16:42:07 2023 read 311885 cycles Tue Feb 21 16:42:07 2023 cycles contain 1058101 unique relations Tue Feb 21 16:42:09 2023 read 1058101 relations Tue Feb 21 16:42:10 2023 using 20 quadratic characters above 67108710 Tue Feb 21 16:42:13 2023 building initial matrix Tue Feb 21 16:42:18 2023 memory use: 129.5 MB Tue Feb 21 16:42:18 2023 read 311885 cycles Tue Feb 21 16:42:18 2023 matrix is 311706 x 311885 (93.7 MB) with weight 29771730 (95.46/col) Tue Feb 21 16:42:18 2023 sparse part has weight 21142321 (67.79/col) Tue Feb 21 16:42:19 2023 filtering completed in 2 passes Tue Feb 21 16:42:19 2023 matrix is 311393 x 311572 (93.7 MB) with weight 29756544 (95.50/col) Tue Feb 21 16:42:19 2023 sparse part has weight 21136478 (67.84/col) Tue Feb 21 16:42:20 2023 matrix starts at (0, 0) Tue Feb 21 16:42:20 2023 matrix is 311393 x 311572 (93.7 MB) with weight 29756544 (95.50/col) Tue Feb 21 16:42:20 2023 sparse part has weight 21136478 (67.84/col) Tue Feb 21 16:42:20 2023 saving the first 48 matrix rows for later Tue Feb 21 16:42:20 2023 matrix includes 64 packed rows Tue Feb 21 16:42:20 2023 matrix is 311345 x 311572 (89.9 MB) with weight 23513790 (75.47/col) Tue Feb 21 16:42:20 2023 sparse part has weight 20451228 (65.64/col) Tue Feb 21 16:42:20 2023 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Tue Feb 21 16:42:21 2023 commencing Lanczos iteration (32 threads) Tue Feb 21 16:42:21 2023 memory use: 69.4 MB Tue Feb 21 16:42:25 2023 linear algebra at 3.9%, ETA 0h 1m Tue Feb 21 16:44:17 2023 lanczos halted after 4925 iterations (dim = 311345) Tue Feb 21 16:44:17 2023 recovered 33 nontrivial dependencies Tue Feb 21 16:44:17 2023 BLanczosTime: 130 Tue Feb 21 16:44:17 2023 elapsed time 00:02:11 Tue Feb 21 16:44:17 2023 Tue Feb 21 16:44:17 2023 Tue Feb 21 16:44:17 2023 Msieve v. 1.52 (SVN 927) Tue Feb 21 16:44:17 2023 random seeds: f6657af0 dbd737f6 Tue Feb 21 16:44:17 2023 factoring 111446539693501110313406700104255462814148994627003796158868475844002467869079592742537351295384893053881121 (108 digits) Tue Feb 21 16:44:18 2023 searching for 15-digit factors Tue Feb 21 16:44:18 2023 commencing number field sieve (108-digit input) Tue Feb 21 16:44:18 2023 R0: -448803636962759163237 Tue Feb 21 16:44:18 2023 R1: 139366391767 Tue Feb 21 16:44:18 2023 A0: -1545105850288077205104800 Tue Feb 21 16:44:18 2023 A1: 1881779913360336949228 Tue Feb 21 16:44:18 2023 A2: -309085230512344651 Tue Feb 21 16:44:18 2023 A3: 6214138540094 Tue Feb 21 16:44:18 2023 A4: 1512494052 Tue Feb 21 16:44:18 2023 A5: 6120 Tue Feb 21 16:44:18 2023 skew 15511.59, size 2.675e-010, alpha -5.729, combined = 1.303e-009 rroots = 3 Tue Feb 21 16:44:18 2023 Tue Feb 21 16:44:18 2023 commencing square root phase Tue Feb 21 16:44:18 2023 reading relations for dependency 1 Tue Feb 21 16:44:18 2023 read 156048 cycles Tue Feb 21 16:44:18 2023 cycles contain 530046 unique relations Tue Feb 21 16:44:19 2023 read 530046 relations Tue Feb 21 16:44:20 2023 multiplying 530046 relations Tue Feb 21 16:44:30 2023 multiply complete, coefficients have about 22.51 million bits Tue Feb 21 16:44:37 2023 initial square root is modulo 2918737 Tue Feb 21 16:44:50 2023 GCD is N, no factor found Tue Feb 21 16:44:50 2023 reading relations for dependency 2 Tue Feb 21 16:44:50 2023 read 155738 cycles Tue Feb 21 16:44:50 2023 cycles contain 529514 unique relations Tue Feb 21 16:44:51 2023 read 529514 relations Tue Feb 21 16:44:52 2023 multiplying 529514 relations Tue Feb 21 16:45:02 2023 multiply complete, coefficients have about 22.49 million bits Tue Feb 21 16:45:02 2023 initial square root is modulo 2872981 Tue Feb 21 16:45:15 2023 sqrtTime: 57 Tue Feb 21 16:45:15 2023 prp38 factor: 73591735798902730752296399463616101631 Tue Feb 21 16:45:15 2023 prp70 factor: 1514389333036533745649169140237246250805750411710940477161154378061791 Tue Feb 21 16:45:15 2023 elapsed time 00:00:58
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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10¹⁸⁸+169

c159

name 名前	Bob Backstrom
date 日付	March 31, 2023 17:36:14 UTC 2023 年 4 月 1 日 (土) 2 時 36 分 14 秒 (日本時間)
composite number 合成数	851569172487713764226359179992443854656298252587281489170969251498879774320426897962429287282971165931742631463358700886370780908064834192300329027123915695303<159>
prime factors 素因数	638780014985015121156530022790515222833236118965908939567066456637484179<72> 1333118057094648424146401290147353254928477870542156611992641665002622100935646493784957<88>
factorization results 素因数分解の結果	Number: n N=851569172487713764226359179992443854656298252587281489170969251498879774320426897962429287282971165931742631463358700886370780908064834192300329027123915695303 ( 159 digits) SNFS difficulty: 189 digits. Divisors found: Sat Apr 1 04:16:59 2023 prp72 factor: 638780014985015121156530022790515222833236118965908939567066456637484179 Sat Apr 1 04:16:59 2023 prp88 factor: 1333118057094648424146401290147353254928477870542156611992641665002622100935646493784957 Sat Apr 1 04:16:59 2023 elapsed time 00:48:11 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.092). Factorization parameters were as follows: # # N = 83x10^188+16 = 92(187)4 # n: 851569172487713764226359179992443854656298252587281489170969251498879774320426897962429287282971165931742631463358700886370780908064834192300329027123915695303 m: 10000000000000000000000000000000000000 deg: 5 c5: 10375 c0: 2 skew: 0.18 # Murphy_E = 4.954e-11 type: snfs lss: 1 rlim: 9900000 alim: 9900000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9900000/9900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved special-q in [100000, 16150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1628354 hash collisions in 15164800 relations (14485702 unique) Msieve: matrix is 1202201 x 1202426 (341.6 MB) Sieving start time: 2023/03/31 22:25:34 Sieving end time : 2023/04/01 03:28:33 Total sieving time: 5hrs 2min 59secs. Total relation processing time: 0hrs 40min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 38sec. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,27,27,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	March 28, 2023 09:17:18 UTC 2023 年 3 月 28 日 (火) 18 時 17 分 18 秒 (日本時間)

83×10¹⁹³+169

c167

name 名前	Bob Backstrom
date 日付	April 17, 2023 21:11:18 UTC 2023 年 4 月 18 日 (火) 6 時 11 分 18 秒 (日本時間)
composite number 合成数	13682905992987626208471161759564537954662051271786215206785790547829282253376535390335736918947847455550277367561562404016337657667225907714700473738889976388621075609<167>
prime factors 素因数	8932935070779615365458540600241631495844472737420936577603158655904247087<73> 1531736868629613873354635806921457853106666366675544506022824684621745219665933336519386958007<94>
factorization results 素因数分解の結果	Number: n N=13682905992987626208471161759564537954662051271786215206785790547829282253376535390335736918947847455550277367561562404016337657667225907714700473738889976388621075609 ( 167 digits) SNFS difficulty: 194 digits. Divisors found: Tue Apr 18 07:03:00 2023 prp73 factor: 8932935070779615365458540600241631495844472737420936577603158655904247087 Tue Apr 18 07:03:00 2023 prp94 factor: 1531736868629613873354635806921457853106666366675544506022824684621745219665933336519386958007 Tue Apr 18 07:03:00 2023 elapsed time 01:25:55 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.105). Factorization parameters were as follows: # # N = 83x10^ 193+16 = 92(192)4 # n: 13682905992987626208471161759564537954662051271786215206785790547829282253376535390335736918947847455550277367561562404016337657667225907714700473738889976388621075609 m: 100000000000000000000000000000000000000 deg: 5 c5: 10375 c0: 2 skew: 0.18 # Murphy_E = 3.083e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 24400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1622648 hash collisions in 14150250 relations (13361560 unique) Msieve: matrix is 1636139 x 1636364 (466.6 MB) Sieving start time: 2023/04/17 22:11:26 Sieving end time : 2023/04/18 05:36:50 Total sieving time: 7hrs 25min 24secs. Total relation processing time: 1hrs 17min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 42sec. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,27,27,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	March 3, 2023 20:50:43 UTC 2023 年 3 月 4 日 (土) 5 時 50 分 43 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	April 13, 2023 16:56:04 UTC 2023 年 4 月 14 日 (金) 1 時 56 分 4 秒 (日本時間)

83×10¹⁹⁵+169

c185

name 名前	Ignacio Santos
date 日付	April 18, 2023 16:50:46 UTC 2023 年 4 月 19 日 (水) 1 時 50 分 46 秒 (日本時間)
composite number 合成数	13475320346341851877377152170218011137923791279265058364534921506753952180957384526951226207366893339896653955118411749589752144928195430381255778444772718724892632872756337011180377877<185>
prime factors 素因数	1618552043686713053601612579279301560773<40> 8325540348797171572672879322824001684824350633739159516885100697338934254009735049574753534205656165912384023150736137399104072372048664964300049<145>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2090012924 Step 1 took 7437ms Step 2 took 3516ms ********** Factor found in step 2: 1618552043686713053601612579279301560773 Found prime factor of 40 digits: 1618552043686713053601612579279301560773 Prime cofactor 8325540348797171572672879322824001684824350633739159516885100697338934254009735049574753534205656165912384023150736137399104072372048664964300049 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	March 3, 2023 20:50:51 UTC 2023 年 3 月 4 日 (土) 5 時 50 分 51 秒 (日本時間)

83×10¹⁹⁶+169

c162

name 名前	Bob Backstrom
date 日付	May 2, 2023 14:12:59 UTC 2023 年 5 月 2 日 (火) 23 時 12 分 59 秒 (日本時間)
composite number 合成数	216623938535682047255816916015859288864448931319089694883280715073497458843828964420640948827075716502759596943275543162007639014035553369042594180381586482438529<162>
prime factors 素因数	240091526492827277927727694161647452472031064496413<51> 902255659331457815269195956963937802565885827594806866622609836052668833669990797461747545577118449453499441333<111>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 216623938535682047255816916015859288864448931319089694883280715073497458843828964420640948827075716502759596943275543162007639014035553369042594180381586482438529 (162 digits) Using B1=24540000, B2=96189633556, polynomial Dickson(12), sigma=1:661209701 Step 1 took 57606ms Step 2 took 19164ms ********** Factor found in step 2: 240091526492827277927727694161647452472031064496413 Found prime factor of 51 digits: 240091526492827277927727694161647452472031064496413 Prime cofactor 902255659331457815269195956963937802565885827594806866622609836052668833669990797461747545577118449453499441333 has 111 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	March 3, 2023 20:51:00 UTC 2023 年 3 月 4 日 (土) 5 時 51 分 0 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	April 22, 2023 07:32:29 UTC 2023 年 4 月 22 日 (土) 16 時 32 分 29 秒 (日本時間)

83×10¹⁹⁷+169

c169

name 名前	Dmitry Domanov
date 日付	March 4, 2023 07:44:17 UTC 2023 年 3 月 4 日 (土) 16 時 44 分 17 秒 (日本時間)
composite number 合成数	1357840720940032184553530013483033984669400730943548215498840291692134354227642138644951878626364947245764165516964739453526666622511094289381490222491856412818058859977<169>
prime factors 素因数	3669658984296165220616675117650758013<37> 2100884200176063823121513397227693477279<40> 176124999969197885151078114505051655412831567086367701510372484456259000062707369620911046051<93>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3254058215 Step 1 took 8202ms Step 2 took 4211ms ******** Factor found in step 2: 3669658984296165220616675117650758013 Found prime factor of 37 digits: 3669658984296165220616675117650758013 Composite cofactor 370018229691297564429168032715652232520727258085817364906861297958500011693959177685430685761560728510356936453485209354293491175229 has 132 digits --- Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3155388457 Step 1 took 5362ms Step 2 took 3196ms ******** Factor found in step 2: 2100884200176063823121513397227693477279 Found prime factor of 40 digits: 2100884200176063823121513397227693477279 Prime cofactor 176124999969197885151078114505051655412831567086367701510372484456259000062707369620911046051 has 93 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	March 3, 2023 20:51:09 UTC 2023 年 3 月 4 日 (土) 5 時 51 分 9 秒 (日本時間)

83×10¹⁹⁸+169

c163

name 名前	Bob Backstrom
date 日付	May 25, 2023 16:57:32 UTC 2023 年 5 月 26 日 (金) 1 時 57 分 32 秒 (日本時間)
composite number 合成数	3978232643999407716576920505107510820791734260333961527396725920838582591033991785743828849184444697619027625797125220750382072866427921083213330087259606113233523<163>
prime factors 素因数	8775095692905704896060827840997401747707477377722905171<55> 453354901555733594453059552102314721625447670180759311849153043802655726018471364208908322406158471701865313<108>
factorization results 素因数分解の結果	Number: n N=3978232643999407716576920505107510820791734260333961527396725920838582591033991785743828849184444697619027625797125220750382072866427921083213330087259606113233523 ( 163 digits) SNFS difficulty: 199 digits. Divisors found: Fri May 26 02:49:00 2023 prp55 factor: 8775095692905704896060827840997401747707477377722905171 Fri May 26 02:49:00 2023 prp108 factor: 453354901555733594453059552102314721625447670180759311849153043802655726018471364208908322406158471701865313 Fri May 26 02:49:00 2023 elapsed time 02:25:40 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.095). Factorization parameters were as follows: # # N = 83x10^198+16 = 92(197)4 # n: 3978232643999407716576920505107510820791734260333961527396725920838582591033991785743828849184444697619027625797125220750382072866427921083213330087259606113233523 m: 1000000000000000000000000000000000000000 deg: 5 c5: 10375 c0: 2 skew: 0.18 # Murphy_E = 1.911e-11 type: snfs lss: 1 rlim: 14500000 alim: 14500000 lpbr: 27 lpba: 27 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14500000/14500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 55/55 Sieved special-q in [100000, 25650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1702712 hash collisions in 13845862 relations (12921826 unique) Msieve: matrix is 2068881 x 2069106 (590.5 MB) Sieving start time: 2023/05/25 13:48:25 Sieving end time : 2023/05/26 00:23:05 Total sieving time: 10hrs 34min 40secs. Total relation processing time: 2hrs 12min 14sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 35sec. Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,14500000,14500000,27,27,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	3350	1000	Dmitry Domanov	March 3, 2023 20:51:19 UTC 2023 年 3 月 4 日 (土) 5 時 51 分 19 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	April 27, 2023 07:54:32 UTC 2023 年 4 月 27 日 (木) 16 時 54 分 32 秒 (日本時間)

83×10²⁰⁰+169

c170

name 名前	Bob Backstrom
date 日付	June 10, 2023 19:15:05 UTC 2023 年 6 月 11 日 (日) 4 時 15 分 5 秒 (日本時間)
composite number 合成数	32239087392793999019564245582573776028569239055781382651279656868830090096539763222321107696592365262505563876894614093348121476634656939824918081291107626476050544308981<170>
prime factors 素因数	54934923327692573181851035773751455255584178393324306937<56> 586859604781542426703983509433217883091632252506272683694264836238584364496815400754650418219604093305787767912413<114>
factorization results 素因数分解の結果	Number: n N=32239087392793999019564245582573776028569239055781382651279656868830090096539763222321107696592365262505563876894614093348121476634656939824918081291107626476050544308981 ( 170 digits) SNFS difficulty: 201 digits. Divisors found: Sun Jun 11 05:05:28 2023 prp56 factor: 54934923327692573181851035773751455255584178393324306937 Sun Jun 11 05:05:28 2023 prp114 factor: 586859604781542426703983509433217883091632252506272683694264836238584364496815400754650418219604093305787767912413 Sun Jun 11 05:05:28 2023 elapsed time 02:40:38 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.097). Factorization parameters were as follows: # # N = 83x10^200+16 = 92(199)4 # n: 32239087392793999019564245582573776028569239055781382651279656868830090096539763222321107696592365262505563876894614093348121476634656939824918081291107626476050544308981 m: 10000000000000000000000000000000000000000 deg: 5 c5: 83 c0: 16 skew: 0.72 # Murphy_E = 1.479e-11 type: snfs lss: 1 rlim: 16200000 alim: 16200000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16200000/16200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 33700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1947980 hash collisions in 14597428 relations (13433410 unique) Msieve: matrix is 2215404 x 2215629 (626.4 MB) Sieving start time: 2023/06/10 12:10:20 Sieving end time : 2023/06/11 02:24:35 Total sieving time: 14hrs 14min 15secs. Total relation processing time: 2hrs 28min 4sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 26sec. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		ddd	April 30, 2023 08:09:21 UTC 2023 年 4 月 30 日 (日) 17 時 9 分 21 秒 (日本時間)

83×10²⁰⁴+169

c196

name 名前	anonymous
date 日付	August 10, 2023 03:45:08 UTC 2023 年 8 月 10 日 (木) 12 時 45 分 8 秒 (日本時間)
composite number 合成数	4877791730753915316914933665779546093171806108787641428656311886336129614538016268027339152405816068797356240831179622556823784226443176865518922789583731002650254929945079939136179483388136534061<196>
prime factors 素因数	31615271458023530055315192418996223<35> 154285935429347625509163354226358163973125951086889546682542193618710836074293201970044814000751058765592346138559480838159029202892938802747068698549515955863507<162>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12910903708792135409 Step 1 took 15609ms ********** Factor found in step 2: 31615271458023530055315192418996223 Found prime factor of 35 digits: 31615271458023530055315192418996223 Prime cofactor 154285935429347625509163354226358163973125951086889546682542193618710836074293201970044814000751058765592346138559480838159029202892938802747068698549515955863507 has 162 digit

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10²⁰⁶+169

c182

name 名前	Bob Backstrom
date 日付	July 31, 2024 07:12:25 UTC 2024 年 7 月 31 日 (水) 16 時 12 分 25 秒 (日本時間)
composite number 合成数	22198168435661872238353964204874475209305165431440136794726143864800259824903083998436638206459371362166079250315477049372780315112960067862429749701428677666206692505528521795502859<182>
prime factors 素因数	327901762903994994680942968827624559759288367<45> 67697618454589347414317830117596189490239108678976963527904641100416369229462391507727188793835271566564925109991052127096336031992315877<137>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 22198168435661872238353964204874475209305165431440136794726143864800259824903083998436638206459371362166079250315477049372780315112960067862429749701428677666206692505528521795502859 (182 digits) Using B1=65940000, B2=388134487660, polynomial Dickson(30), sigma=1:1383484598 Step 1 took 174946ms ********** Factor found in step 1: 327901762903994994680942968827624559759288367 Found prime factor of 45 digits: 327901762903994994680942968827624559759288367 Prime cofactor 67697618454589347414317830117596189490239108678976963527904641100416369229462391507727188793835271566564925109991052127096336031992315877 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	5000		ddd	August 10, 2023 07:04:32 UTC 2023 年 8 月 10 日 (木) 16 時 4 分 32 秒 (日本時間)

83×10²⁰⁸+169

c136

name 名前	Jason Parker-Burlingham
date 日付	May 17, 2023 04:06:22 UTC 2023 年 5 月 17 日 (水) 13 時 6 分 22 秒 (日本時間)
composite number 合成数	1291153380762245620860891276399834851126299511149487721498263263423918055888477113179369614231371183609429538081949679607600266341513857<136>
prime factors 素因数	29023339530456959624225706425360851932858287499363331237<56> 44486726946336246883043023020842787791135299315264782815042335568540692474553261<80>
factorization results 素因数分解の結果	Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 57123.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39644/39.120/48.571/55.540/0.969 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32571/38.770/43.309/49.190/1.018 Info:Polynomial Selection (size optimized): Total time: 7872.17 Info:Generate Free Relations: Total cpu/real time for freerel: 174.65/8.59279 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 3423.8 Info:Polynomial Selection (root optimized): Rootsieve time: 3422.27 Info:Quadratic Characters: Total cpu/real time for characters: 46.27/11.3592 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 78.95/42.3351 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 290.14/123.497 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.60000000000001s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 473215/16765 29023339530456959624225706425360851932858287499363331237 44486726946336246883043023020842787791135299315264782815042335568540692474553261 n: 1291153380762245620860891276399834851126299511149487721498263263423918055888477113179369614231371183609429538081949679607600266341513857 skew: 66802.538 c0: 1313949783250066502739103419228 c1: -88690603688976839551054036 c2: -709286016869735478819 c3: 60353912105761459 c4: 114399024078 c5: 194040 Y0: -128927710238468468906022727 Y1: 24044298319167610003 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.145e-07 # f(x) = 194040x^5+114399024078x^4+60353912105761459x^3-709286016869735478819x^2-88690603688976839551054036x+1313949783250066502739103419228 # g(x) = 24044298319167610003x-128927710238468468906022727
software ソフトウェア	CADO-NFS 3.0.0-dev (2.3.0-4735-g771295a47)
execution environment 実行環境	AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 109GB RAM

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	February 22, 2023 14:57:49 UTC 2023 年 2 月 22 日 (水) 23 時 57 分 49 秒 (日本時間)
45	11e6	4480	Ignacio Santos	March 2, 2023 09:32:54 UTC 2023 年 3 月 2 日 (木) 18 時 32 分 54 秒 (日本時間)
50	43e6	6454	Ignacio Santos	April 27, 2023 07:26:27 UTC 2023 年 4 月 27 日 (木) 16 時 26 分 27 秒 (日本時間)

83×10²¹³+169

c182

composite cofactor 合成数の残り	64406374641342452192929037172909814910497520227741950815663603796892198057292276079196487097736123282071793073110567865894662274275356693952369834235501922302174385645164103094246289<182>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2744		ddd	August 10, 2023 07:12:03 UTC 2023 年 8 月 10 日 (木) 16 時 12 分 3 秒 (日本時間)

83×10²¹⁴+169

c175

name 名前	anonymous
date 日付	April 30, 2023 12:07:29 UTC 2023 年 4 月 30 日 (日) 21 時 7 分 29 秒 (日本時間)
composite number 合成数	5982741295068774745874850616645514826057527299879904976841262175687469814454203370094301083680576063146166437363390002772990202251420026107266942474708291368508513192110584833<175>
prime factors 素因数	3803288781202525587485838946426954905787589342621<49> 1573044183402015785161641025550434691804231507197700856348525582239064936074483763355070491826542970687793674051665677321403573<127>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:16983112684218873532 Step 1 took 10172ms ********** Factor found in step 2: 3803288781202525587485838946426954905787589342621 Found prime factor of 49 digits: 3803288781202525587485838946426954905787589342621 Prime cofactor 1573044183402015785161641025550434691804231507197700856348525582239064936074483763355070491826542970687793674051665677321403573 has 127 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10²¹⁵+169

c188

composite cofactor 合成数の残り	29078163661105249671927746142730724107376780924748988746942638710550195827760151438192388701991909279077040284912253803597186976849086601222305898510569860040883373390268200842009831505369<188>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		ddd	August 10, 2023 10:59:40 UTC 2023 年 8 月 10 日 (木) 19 時 59 分 40 秒 (日本時間)

83×10²¹⁷+169

c192

name 名前	anonymous
date 日付	August 10, 2023 12:10:52 UTC 2023 年 8 月 10 日 (木) 21 時 10 分 52 秒 (日本時間)
composite number 合成数	261592379049598970290616681251215217221726985732832467335704774635098614925161330091363381854979237044526884273863726504737565083566435879261155936709029384922780278426661410106576388997967021<192>
prime factors 素因数	1302135597464206092045817493873858430343<40>
composite cofactor 合成数の残り	200894883419996344317910605058688326133617255857858853911952847732880597279319510000331598658388740250877050389035477432162942190290983828960030040066347<153>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:9586866917788899212 Step 1 took 14157ms Step 2 took 5218ms ********** Factor found in step 2: 1302135597464206092045817493873858430343 Found prime factor of 40 digits: 1302135597464206092045817493873858430343 Composite cofactor 200894883419996344317910605058688326133617255857858853911952847732880597279319510000331598658388740250877050389035477432162942190290983828960030040066347 has 153 digits
software ソフトウェア	GMP-ECM 7.0.5

c153

name 名前	anonymous
date 日付	August 13, 2023 21:04:41 UTC 2023 年 8 月 14 日 (月) 6 時 4 分 41 秒 (日本時間)
composite number 合成数	200894883419996344317910605058688326133617255857858853911952847732880597279319510000331598658388740250877050389035477432162942190290983828960030040066347<153>
prime factors 素因数	244209596131112439577680423018918334519229<42>
composite cofactor 合成数の残り	822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543<111>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:7691657749529864837 Step 1 took 10765ms Step 2 took 4125ms ********** Factor found in step 2: 244209596131112439577680423018918334519229 Found prime factor of 42 digits: 244209596131112439577680423018918334519229 Composite cofactor 822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543 has 111 digits

c111

name 名前	Dmitry Domanov
date 日付	August 15, 2023 20:53:19 UTC 2023 年 8 月 16 日 (水) 5 時 53 分 19 秒 (日本時間)
composite number 合成数	822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543<111>
prime factors 素因数	18656282346229279379147359643137960647265997<44> 44094157059486515977209929198207346812542119419004121879941166742819<68>
factorization results 素因数分解の結果	N=822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543 ( 111 digits) Divisors found: r1=18656282346229279379147359643137960647265997 (pp44) r2=44094157059486515977209929198207346812542119419004121879941166742819 (pp68) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.14 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 822633043920759440805293774127309051111818604318654727225384007469164728196352451110946659747089902373982625543 skew: 26105.09 c0: -12725519937229724174555148 c1: 5853698137560108029340 c2: 445760945594569433 c3: -30262765044418 c4: -606338208 c5: 8976 Y0: -2468467734129203400439 Y1: 1175211876637 rlim: 3460000 alim: 3460000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 3460000/3460000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1730000, 2530001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 344223 x 344448 Total sieving time: 0.00 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.09 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000 total time: 0.14 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2500		ddd	August 10, 2023 12:10:28 UTC 2023 年 8 月 10 日 (木) 21 時 10 分 28 秒 (日本時間)

83×10²¹⁸+169

c188

composite cofactor 合成数の残り	49225737460538087230302415797571088403615634467087655902480870749058529448573992992030618821616674065841549460599473855128257808874897155498363916540079057268935247917130351948470235035359<188>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2560		ccc	August 13, 2023 17:06:12 UTC 2023 年 8 月 14 日 (月) 2 時 6 分 12 秒 (日本時間)

83×10²¹⁹+169

c219

composite cofactor 合成数の残り

576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<219>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		ddd	August 10, 2023 08:40:38 UTC 2023 年 8 月 10 日 (木) 17 時 40 分 38 秒 (日本時間)

83×10²²²+169

c209

composite cofactor 合成数の残り

11103678529447624691971441254042367043433415883345865083864913749393542460743398122289463674494223057097370658053146018500705616334412891052449488182075383445660828996366209591297673281383515505055628255596599<209>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:06:01 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 1 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 07:14:52 UTC 2024 年 9 月 19 日 (木) 16 時 14 分 52 秒 (日本時間)

83×10²²⁴+169

c182

composite cofactor 合成数の残り	27238956535767113168996376066514251289809523952162882134535055663937038425986001023503302497341775936021525623380047891698974850470898305272728884747179372100352767352137284767020989<182>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		ccc	August 13, 2023 22:17:23 UTC 2023 年 8 月 14 日 (月) 7 時 17 分 23 秒 (日本時間)

83×10²²⁵+169

c212

name 名前	Dmitry Domanov
date 日付	December 2, 2023 17:56:08 UTC 2023 年 12 月 3 日 (日) 2 時 56 分 8 秒 (日本時間)
composite number 合成数	24571166795648855649483399264725314763313240016146036190134124090064885080390453266385840096992397294512816645594571450971117419873126472914465487773339693111197685313920856373152372967952104957417155068418774317<212>
prime factors 素因数	320396945028732686860539962603603852449<39> 76689766169416355117647978255088444264607321886205128018199411667025825348817224794506952743786423195696750049980959643540466532031636688866382211760047903917378443835531533<173>
factorization results 素因数分解の結果	Resuming ECM residue saved by @cabff8941f3f with GMP-ECM 7.0.5-dev on Sat Nov 25 23:20:03 2023 Input number is 24571166795648855649483399264725314763313240016146036190134124090064885080390453266385840096992397294512816645594571450971117419873126472914465487773339693111197685313920856373152372967952104957417155068418774317 (212 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1415176679 Step 1 took 0ms Step 2 took 5296ms ********** Factor found in step 2: 320396945028732686860539962603603852449 Found prime factor of 39 digits: 320396945028732686860539962603603852449 Prime cofactor 76689766169416355117647978255088444264607321886205128018199411667025825348817224794506952743786423195696750049980959643540466532031636688866382211760047903917378443835531533 has 173 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	November 25, 2023 19:06:16 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 16 秒 (日本時間)

83×10²²⁶+169

c218

composite cofactor 合成数の残り

23641766683565095087484114208262757760525217339923271508725712590340653739890069034382558767007111616145733451853805113726940086817935936972135605967075813519127658796433967335877965840774008006817167113555759567937027<218>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:06:25 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 25 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 07:25:34 UTC 2024 年 9 月 19 日 (木) 16 時 25 分 34 秒 (日本時間)

83×10²²⁹+169

c159

name 名前	anonymous
date 日付	August 10, 2023 09:49:24 UTC 2023 年 8 月 10 日 (木) 18 時 49 分 24 秒 (日本時間)
composite number 合成数	222425930487770579826687814351338462960046133942857871661113987154007364842542385724194697196724384818856489728057730232712296178474671443127591602238357575373<159>
prime factors 素因数	1670337627708669697288269025784564653<37> 133162258215358111313736014169982513467342212870412894527804023529924338396242394283334685230907079933040531524687955598241<123>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17994252109720864120 Step 1 took 13421ms ********** Factor found in step 2: 1670337627708669697288269025784564653 Found prime factor of 37 digits: 1670337627708669697288269025784564653 Prime cofactor 133162258215358111313736014169982513467342212870412894527804023529924338396242394283334685230907079933040531524687955598241 has 123 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10²³⁰+169

c203

composite cofactor 合成数の残り

14687754107173121910823396393924729863766186624078242430030168456765736193503245582165704768793243719717230037390059351683308173433070769924089643466084885260294756316111730197594123360315589513657430581<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2950		ddd	August 17, 2023 19:07:54 UTC 2023 年 8 月 18 日 (金) 4 時 7 分 54 秒 (日本時間)

83×10²³¹+169

c224

name 名前	Dmitry Domanov
date 日付	November 25, 2023 23:35:42 UTC 2023 年 11 月 26 日 (日) 8 時 35 分 42 秒 (日本時間)
composite number 合成数	24995145882440362894922521962084307897082753042412770566672167767014422264221776650921917106054830402406140914407576471763457098647208739418928363584253712424821286634277101376606394660792067768892129898031320635529397936633<224>
prime factors 素因数	10458150168924778222074105001688480893<38>
composite cofactor 合成数の残り	2390015966371437188069722919902622140009182231571537082478458640239142732831733868798736975961436017935877715926369446741245611028718735721405989332975741902407206254260712028689111515181<187>
factorization results 素因数分解の結果	GPU: factor 10458150168924778222074105001688480893 found in Step 1 with curve 236 (-sigma 3:-75775888) Computing 1792 Step 1 took 189ms of CPU time / 175393ms of GPU time Throughput: 10.217 curves per second (on average 97.88ms per Step 1) ********** Factor found in step 1: 10458150168924778222074105001688480893 Found prime factor of 38 digits: 10458150168924778222074105001688480893 Composite cofactor 2390015966371437188069722919902622140009182231571537082478458640239142732831733868798736975961436017935877715926369446741245611028718735721405989332975741902407206254260712028689111515181 has 187 digits Peak memory usage: 9426MB

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:06:38 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 38 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 07:32:06 UTC 2024 年 9 月 19 日 (木) 16 時 32 分 6 秒 (日本時間)

83×10²³³+169

c182

composite cofactor 合成数の残り	39469757564137151957979589193665026216990399123147796819266942018802228053274216629380651087015687377886477370950326264090644869008767668723720746022506505573119318556695073879864347<182>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2350		ccc	August 13, 2023 23:25:48 UTC 2023 年 8 月 14 日 (月) 8 時 25 分 48 秒 (日本時間)

83×10²³⁴+169

c181

composite cofactor 合成数の残り	2639022932568452067116657472739080484182837204262612614811567688662741322575500877416043588984675609929706166591297411647265982222188978915936863018268566770591874953662832891944357<181>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2500		xyz	August 26, 2023 12:08:21 UTC 2023 年 8 月 26 日 (土) 21 時 8 分 21 秒 (日本時間)

83×10²³⁵+169

c232

name 名前	Ignacio Santos
date 日付	September 19, 2024 09:31:33 UTC 2024 年 9 月 19 日 (木) 18 時 31 分 33 秒 (日本時間)
composite number 合成数	2900799642118212827825308952636582228932505731700497679360286305429737739752837890734216853995414639601856511770955656209808197729687412626516803668288318514790583235475032153441816250069898786557065369345188167533411619974277246547<232>
prime factors 素因数	69276288230051857182562590303884672930993<41>
composite cofactor 合成数の残り	41872907978055530080351482811872782711520909365323429397952061121434405732695390445955360220700305501765852501624035024347742082206180912874628962063910816478056260721799926120255331219571779<191>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3888518274 Step 1 took 7454ms ********** Factor found in step 2: 69276288230051857182562590303884672930993 Found prime factor of 41 digits: 69276288230051857182562590303884672930993 Composite cofactor 41872907978055530080351482811872782711520909365323429397952061121434405732695390445955360220700305501765852501624035024347742082206180912874628962063910816478056260721799926120255331219571779 has 191 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:06:57 UTC 2023 年 11 月 26 日 (日) 4 時 6 分 57 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 27, 2024 15:29:51 UTC 2024 年 9 月 28 日 (土) 0 時 29 分 51 秒 (日本時間)

83×10²⁴⁰+169

c226

composite cofactor 合成数の残り

1278965972514895776138372442697127909918295328103266098991991018465266493006589074257319617872216307794322589315550387083094852033117777943271648977073717678650508906615530934394280636177475880016199061440566933701248982456069<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:07:08 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 8 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 09:32:18 UTC 2024 年 9 月 19 日 (木) 18 時 32 分 18 秒 (日本時間)

83×10²⁴¹+169

c221

name 名前	Dmitry Domanov
date 日付	November 27, 2023 21:27:47 UTC 2023 年 11 月 28 日 (火) 6 時 27 分 47 秒 (日本時間)
composite number 合成数	57552275892160975099636152095165718894083366059930457661925869736641350779774242512054502425265007221666981007917581188626211941582262898037542577843024359045749730539989531273546208232991553611829484945604138901836646241<221>
prime factors 素因数	129429901165913254349424921225375806923<39>
composite cofactor 合成数の残り	444659814878372024210639043522458384720290732293698448235677052224038907653426271002267973798738636089206380375414008621469176975217884101897567979597763489051440550666387346563428867<183>
factorization results 素因数分解の結果	Resuming ECM residue saved by @cabff8941f3f with GMP-ECM 7.0.5-dev on Sat Nov 25 20:58:10 2023 Input number is 57552275892160975099636152095165718894083366059930457661925869736641350779774242512054502425265007221666981007917581188626211941582262898037542577843024359045749730539989531273546208232991553611829484945604138901836646241 (221 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2980904623 Step 1 took 0ms Step 2 took 5709ms ********** Factor found in step 2: 129429901165913254349424921225375806923 Found prime factor of 39 digits: 129429901165913254349424921225375806923 Composite cofactor 444659814878372024210639043522458384720290732293698448235677052224038907653426271002267973798738636089206380375414008621469176975217884101897567979597763489051440550666387346563428867 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:07:17 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 17 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 09:45:47 UTC 2024 年 9 月 19 日 (木) 18 時 45 分 47 秒 (日本時間)

83×10²⁴²+169

c213

composite cofactor 合成数の残り

688983343469950390137364806751614938651047983520406070213196665498344477483998235794715796565702655073711165941265193703682225037412106141394547952634976974069873968615427131487958796538959635756682419942528484847<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:07:26 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 26 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 09:58:30 UTC 2024 年 9 月 19 日 (木) 18 時 58 分 30 秒 (日本時間)

83×10²⁴³+169

c240

composite cofactor 合成数の残り

423503959506898522328353334966119683239448118213731733202710425340844150542901461343783165972732467956567883092497346722181402563474569352600212262225487794922034451791983019021960976406237243856641358478243121887501020491468691321740550249<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:07:34 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 34 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 10:06:15 UTC 2024 年 9 月 19 日 (木) 19 時 6 分 15 秒 (日本時間)

83×10²⁴⁴+169

c187

composite cofactor 合成数の残り	6150866262284668520424731813900534090278344791745253289408365820344016309468906915110687274666922496170648479146790984499366236605329523896637847206233802466240519395802715223230156522211<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2500		xyz	August 26, 2023 12:09:34 UTC 2023 年 8 月 26 日 (土) 21 時 9 分 34 秒 (日本時間)

83×10²⁴⁵+169

c230

composite cofactor 合成数の残り

62343788302488468595878956213004290680472927461180044723336837986112301493308494979839405542874220941201945096854163930415856008819994142312381897940704393991542685393564642432065319114974190701034945214737733818777092637080271739<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:07:47 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 47 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 07:47:34 UTC 2024 年 9 月 19 日 (木) 16 時 47 分 34 秒 (日本時間)

83×10²⁴⁷+169

c196

composite cofactor 合成数の残り

1964523064551731123719646374803137100141312625857706282825459065202753638852492639472648068940882765104292260333047898844226528923942444274058110724707121309168886101960221193228864044005745209991<196>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:07:57 UTC 2023 年 11 月 26 日 (日) 4 時 7 分 57 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 07:56:42 UTC 2024 年 9 月 19 日 (木) 16 時 56 分 42 秒 (日本時間)

83×10²⁴⁸+169

c232

composite cofactor 合成数の残り

1652139607694631001301183663815136959968079434065279232670556974073029662932321940952754864334906441107889913766047505209369372697368885121295146646092928976979072213419760778639054277155634546921803188872350643157844030604570236743<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:08:04 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 4 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 08:24:41 UTC 2024 年 9 月 19 日 (木) 17 時 24 分 41 秒 (日本時間)

83×10²⁵⁰+169

c234

composite cofactor 合成数の残り

372309718432856843543125869080112683675261060622835491226439585280091415855127057312711097061989227274525796134881464601703767015135422947292602720451023313071085844874220516369284703837069139218484769985446868114919874142026309944371<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:08:12 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 12 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	September 19, 2024 08:24:53 UTC 2024 年 9 月 19 日 (木) 17 時 24 分 53 秒 (日本時間)

83×10²⁵¹+169

c237

composite cofactor 合成数の残り

120475999558658872615162887491005571102638015814041728113656077064640119217337624539206772753195676452635198014743417646335183185463381382842867475780153559745259414159484412143017583152781655129307289829956698032949418194125552736978167<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2203	1792	Dmitry Domanov	November 25, 2023 19:08:21 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 21 秒 (日本時間)
40	3e6	2203	411	Thomas Kozlowski	October 3, 2024 08:32:20 UTC 2024 年 10 月 3 日 (木) 17 時 32 分 20 秒 (日本時間)

83×10²⁵²+169

c236

composite cofactor 合成数の残り

63471031951849485445964951636588670727751063292595531197251304570927541732033038506853276628722513853817181859409631636827285863527262716431751783438901090395422481257275378949985784645814415042313012825626625187608131023417303601372461<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2193	1792	Dmitry Domanov	November 25, 2023 19:08:29 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 29 秒 (日本時間)
40	3e6	2193	401	Thomas Kozlowski	October 3, 2024 08:35:37 UTC 2024 年 10 月 3 日 (木) 17 時 35 分 37 秒 (日本時間)

83×10²⁵⁴+169

c192

composite cofactor 合成数の残り	404285909756717351277349885491783951454007783984904441914153755654284279798719891363569898476240112510728956556242379885844370540539508921521424596587069203978722255118508908136320498397590269<192>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2198	1792	Dmitry Domanov	November 25, 2023 19:08:37 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 37 秒 (日本時間)
40	3e6	2198	406	Thomas Kozlowski	October 3, 2024 08:37:52 UTC 2024 年 10 月 3 日 (木) 17 時 37 分 52 秒 (日本時間)

83×10²⁵⁸+169

c201

composite cofactor 合成数の残り

204593719674508825965418574367359168468049985094649614585946683696316384753646113820658339513667384401674822986713159962766378584058842586319037140472785020097229879088754871795638182977297726631092789<201>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2202	1792	Dmitry Domanov	November 25, 2023 19:08:50 UTC 2023 年 11 月 26 日 (日) 4 時 8 分 50 秒 (日本時間)
40	3e6	2202	410	Thomas Kozlowski	October 3, 2024 08:40:27 UTC 2024 年 10 月 3 日 (木) 17 時 40 分 27 秒 (日本時間)

83×10²⁶⁰+169

c195

composite cofactor 合成数の残り	186618850993328037385816551717074327117216751006077514127999669642606930492151916583059081144696556333886417426043321660275768892449158328609835897174880059627998743171168102165355702895438994373<195>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2201	1792	Dmitry Domanov	November 25, 2023 19:09:00 UTC 2023 年 11 月 26 日 (日) 4 時 9 分 0 秒 (日本時間)
40	3e6	2201	409	Thomas Kozlowski	October 3, 2024 08:42:59 UTC 2024 年 10 月 3 日 (木) 17 時 42 分 59 秒 (日本時間)

83×10²⁶³+169

c225

composite cofactor 合成数の残り

122394635589786261565121763447055250474904208514309064172793205358899387740378388596850712484245887874287234189068280587147020339168797349706109401261659753945628772707003140434709302641330769068937392174992365703824251922491<225>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2192	1792	Dmitry Domanov	November 25, 2023 19:09:10 UTC 2023 年 11 月 26 日 (日) 4 時 9 分 10 秒 (日本時間)
40	3e6	2192	400	Thomas Kozlowski	October 3, 2024 08:45:52 UTC 2024 年 10 月 3 日 (木) 17 時 45 分 52 秒 (日本時間)

83×10²⁶⁶+169

c257

composite cofactor 合成数の残り

45238457324527496995274527487930141729638034599254867658945590804437984247975438479385528857040680058828998598261960131727170505451680126092283958308185056889966692801867475191817122099361382969320327077062062799889369032128375152818920803011132345593864921<257>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2200	1792	Dmitry Domanov	November 25, 2023 19:09:56 UTC 2023 年 11 月 26 日 (日) 4 時 9 分 56 秒 (日本時間)
40	3e6	2200	408	Thomas Kozlowski	October 3, 2024 08:49:33 UTC 2024 年 10 月 3 日 (木) 17 時 49 分 33 秒 (日本時間)

83×10²⁶⁷+169

c237

composite cofactor 合成数の残り

421514968416083213554506307516151748953121439839210249296190349689069140462109788019217111718669876705431690293516283669766617185719168192037184781953308281449775189061701240895937214495243893626188642040915264162221379954785689903361693<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2202	1792	Dmitry Domanov	November 25, 2023 19:10:04 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 4 秒 (日本時間)
40	3e6	2202	410	Thomas Kozlowski	October 3, 2024 08:52:52 UTC 2024 年 10 月 3 日 (木) 17 時 52 分 52 秒 (日本時間)

83×10²⁶⁸+169

c209

composite cofactor 合成数の残り

19786589868989541002192520580259590955507966058127984241243169778459154853837252707999350252882857538452990144886065784655320489144319665822841122512251587117423658165534291714472948491316179316919430492670409<209>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2211	1792	Dmitry Domanov	November 25, 2023 19:10:13 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 13 秒 (日本時間)
40	3e6	2211	419	Thomas Kozlowski	October 3, 2024 08:55:26 UTC 2024 年 10 月 3 日 (木) 17 時 55 分 26 秒 (日本時間)

83×10²⁶⁹+169

c243

composite cofactor 合成数の残り

181831734498224600960078915411136984182438769289093424479073370283027277400174427308457428937961277148724707392125186740677579201649240465534121097090528332387603000544240618563109959710823193621400029997965055737745759406731822322739900116179<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2192	1792	Dmitry Domanov	November 25, 2023 19:10:23 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 23 秒 (日本時間)
40	3e6	2192	400	Thomas Kozlowski	October 3, 2024 08:58:44 UTC 2024 年 10 月 3 日 (木) 17 時 58 分 44 秒 (日本時間)

83×10²⁷⁰+169

c255

composite cofactor 合成数の残り

918634334199928152678141552384893748061589261507105754911090696949908430181451669975254501587998825413061572574742273776448970032442892581542428582370113756340042823057323410150100207222066895738182718773858391395886026124123403558280433393361596962164357<255>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2196	1792	Dmitry Domanov	November 25, 2023 19:10:32 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 32 秒 (日本時間)
40	3e6	2196	404	Thomas Kozlowski	October 3, 2024 09:02:24 UTC 2024 年 10 月 3 日 (木) 18 時 2 分 24 秒 (日本時間)

83×10²⁷²+169

c229

composite cofactor 合成数の残り

1270303057940185303604910634892762895257823043360506404821399437166383327731526357245516691278642523144204400368309408332351456755190783328758545578853140543543489104056085448515838354074772576717158845932935362791179173132507679<229>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2195	1792	Dmitry Domanov	November 25, 2023 19:10:40 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 40 秒 (日本時間)
40	3e6	2195	403	Thomas Kozlowski	October 3, 2024 09:05:18 UTC 2024 年 10 月 3 日 (木) 18 時 5 分 18 秒 (日本時間)

83×10²⁷³+169

c185

composite cofactor 合成数の残り	52722191061344313757774250531408181166049705816418883328138262819677324198831451729777192471783799699273164854982450394542455709691689482924519621117436261557395640298011119241515991219<185>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2090	ccc	July 21, 2023 04:38:15 UTC 2023 年 7 月 21 日 (金) 13 時 38 分 15 秒 (日本時間)
45	11e6	4480	Ignacio Santos	July 23, 2023 09:58:03 UTC 2023 年 7 月 23 日 (日) 18 時 58 分 3 秒 (日本時間)
50	43e6	1792 / 6463	Dmitry Domanov	April 16, 2024 05:41:52 UTC 2024 年 4 月 16 日 (火) 14 時 41 分 52 秒 (日本時間)

83×10²⁷⁷+169

c233

composite cofactor 合成数の残り

62787796775128368636732827080506949352370067991844420892779359974336216262847644558327550428217818043238218801346205737404671199927391197105313806269590845378192391806272007197934930011133237514074345412133682880860204531419489081053<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2197	1792	Dmitry Domanov	November 25, 2023 19:10:52 UTC 2023 年 11 月 26 日 (日) 4 時 10 分 52 秒 (日本時間)
40	3e6	2197	405	Thomas Kozlowski	October 3, 2024 09:08:36 UTC 2024 年 10 月 3 日 (木) 18 時 8 分 36 秒 (日本時間)

83×10²⁷⁸+169

c210

composite cofactor 合成数の残り

819919575733268253516764602698294261347450985181243589307489271308361457274783575682782101674630553465281914653801485531191053524329079265048785277094448939963975297866339156355397749893146986514619538913142227<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2198	1792	Dmitry Domanov	November 25, 2023 19:11:00 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 0 秒 (日本時間)
40	3e6	2198	406	Thomas Kozlowski	October 3, 2024 09:11:12 UTC 2024 年 10 月 3 日 (木) 18 時 11 分 12 秒 (日本時間)

83×10²⁷⁹+169

c272

composite cofactor 合成数の残り

58188731671068314715126534047059770780929122445614231446092450279313203139313201120234319039791591575160048737423424049762307864593795036325640766180760751457637543327049174654955964282180497059755637837506842293775461355878996288517981854829731470472827780434549073448627<272>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2197	1792	Dmitry Domanov	November 25, 2023 19:11:08 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 8 秒 (日本時間)
40	3e6	2197	405	Thomas Kozlowski	October 3, 2024 09:15:16 UTC 2024 年 10 月 3 日 (木) 18 時 15 分 16 秒 (日本時間)

83×10²⁸⁰+169

c214

composite cofactor 合成数の残り

4588167349236993012370723709758187220740615672424228618993155393419247623944283742896517133043777877053086425029938881383022356212128982253958680631099048597817126710592775409110851083388241129586198607977051398279<214>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2198	1792	Dmitry Domanov	November 25, 2023 19:11:17 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 17 秒 (日本時間)
40	3e6	2198	406	Thomas Kozlowski	October 3, 2024 09:18:09 UTC 2024 年 10 月 3 日 (木) 18 時 18 分 9 秒 (日本時間)

83×10²⁸¹+169

c261

composite cofactor 合成数の残り

467132061155363614984941550376830260029895246286124926465752997458918392373588163946029611301922768871670208864327991799688465671145578617430869636867741408592846611397324700237580191803664501009885532443575589744265447264984190188767164041286671395057190539311<261>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2202	1792	Dmitry Domanov	November 25, 2023 19:11:27 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 27 秒 (日本時間)
40	3e6	2202	410	Thomas Kozlowski	October 3, 2024 09:21:51 UTC 2024 年 10 月 3 日 (木) 18 時 21 分 51 秒 (日本時間)

83×10²⁸²+169

c252

composite cofactor 合成数の残り

114552495526454944688558646067002636251813170854607675326197591987636717274464379053338992049000929688358403511362076922395805068888224299395019318270968876112812745022817974645175937640565702475469757117659947625993845976365888991032980083756746977597<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2194	1792	Dmitry Domanov	November 25, 2023 19:11:37 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 37 秒 (日本時間)
40	3e6	2194	402	Thomas Kozlowski	October 3, 2024 09:25:31 UTC 2024 年 10 月 3 日 (木) 18 時 25 分 31 秒 (日本時間)

83×10²⁸³+169

c272

composite cofactor 合成数の残り

83210474976260144805309255268904046317389873532499647667315542147830597195472883874010947129733002000019208692621340986355915864718187444863957603533172750376729632000887771725015955385091407741707243591872039043121238965207078399430310670893826570091789433738079271467303<272>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2201	1792	Dmitry Domanov	November 25, 2023 19:11:47 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 47 秒 (日本時間)
40	3e6	2201	409	Thomas Kozlowski	October 3, 2024 09:29:37 UTC 2024 年 10 月 3 日 (木) 18 時 29 分 37 秒 (日本時間)

83×10²⁸⁴+169

c194

composite cofactor 合成数の残り	49078724445463097616424250230676951592918936264718653367753917141713357062437114389056563656454890348009653684218146408013267043192093609447880711679272652108207565855815953999462054215413945949<194>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	4142	1792	Dmitry Domanov	November 25, 2023 19:11:55 UTC 2023 年 11 月 26 日 (日) 4 時 11 分 55 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	July 19, 2024 07:50:46 UTC 2024 年 7 月 19 日 (金) 16 時 50 分 46 秒 (日本時間)
45	11e6	3600		Thomas Kozlowski	July 21, 2024 15:34:43 UTC 2024 年 7 月 22 日 (月) 0 時 34 分 43 秒 (日本時間)
50	43e6	1792 / 6583		Dmitry Domanov	July 23, 2024 17:30:33 UTC 2024 年 7 月 24 日 (水) 2 時 30 分 33 秒 (日本時間)

83×10²⁸⁶+169

c218

composite cofactor 合成数の残り

37220191721841029076750929052233923209105005253561543462062071423054744683303795244452891660883001345311746441947420427856872975413314417496527443768330237994760144666081775559484470414906532423639799414613394193999349<218>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2193	1792	Dmitry Domanov	November 25, 2023 19:12:04 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 4 秒 (日本時間)
40	3e6	2193	401	Thomas Kozlowski	October 3, 2024 09:32:31 UTC 2024 年 10 月 3 日 (木) 18 時 32 分 31 秒 (日本時間)

83×10²⁸⁹+169

c269

composite cofactor 合成数の残り

29683802764535772990531439517591669316392590797531325294435830385150374044719903672986093346705103045927102363482388068212618120677717091054060483994813662989374755400881211757208418366029697897659116303205355121066172538256022393951102383524673832190401994630267785653<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2197	1792	Dmitry Domanov	November 25, 2023 19:12:12 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 12 秒 (日本時間)
40	3e6	2197	405	Thomas Kozlowski	October 3, 2024 09:36:13 UTC 2024 年 10 月 3 日 (木) 18 時 36 分 13 秒 (日本時間)

83×10²⁹¹+169

c239

composite cofactor 合成数の残り

40375266637763892232092565021608118329617013139221949001733433775282847600266916741491694820394350162338543583579246207510744032046282821135347931339238144669468899931502807111683490962398628543191874876948422119952417063481674865831455713<239>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2202	1792	Dmitry Domanov	November 25, 2023 19:12:34 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 34 秒 (日本時間)
40	3e6	2202	410	Thomas Kozlowski	October 3, 2024 09:39:32 UTC 2024 年 10 月 3 日 (木) 18 時 39 分 32 秒 (日本時間)

83×10²⁹²+169

c207

composite cofactor 合成数の残り

211772307810207119507885526889345123474300766259385489714881434824569506289782510475722457182908549681390565008952460849984120971219633083178633728642459177041992912387400900763157742381410597564424623579071<207>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2203	1792	Dmitry Domanov	November 25, 2023 19:12:42 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 42 秒 (日本時間)
40	3e6	2203	411	Thomas Kozlowski	October 3, 2024 09:42:07 UTC 2024 年 10 月 3 日 (木) 18 時 42 分 7 秒 (日本時間)

83×10²⁹⁴+169

c230

composite cofactor 合成数の残り

32188813831690807045104429113605075290432442429214642148249870886098553592406327771028282022338930958010284840458966296406050111943841649359504096240715274650750563341028957895985537582665246188386553805593711882288761254858544931<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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2203	1792	Dmitry Domanov	November 25, 2023 19:12:50 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 50 秒 (日本時間)
40	3e6	2203	411	Thomas Kozlowski	October 3, 2024 09:45:02 UTC 2024 年 10 月 3 日 (木) 18 時 45 分 2 秒 (日本時間)

83×10²⁹⁶+169

c218

name 名前	Dmitry Domanov
date 日付	November 29, 2023 04:41:02 UTC 2023 年 11 月 29 日 (水) 13 時 41 分 2 秒 (日本時間)
composite number 合成数	40445041835981149198704957384699943697168609413668270955646424418157716037709934692126321851070141693518225718053704106826179431786645894000869411129784421923658503968672931582546480203040877089998144314703736901118863<218>
prime factors 素因数	2818831378157368877073283024692340699811<40> 14348159364686622085493087516343990885268848225046601886172771490279805535128192840081175710187260564756788984224267275256933638396958199461572227735940715250044877426985540804133<179>
factorization results 素因数分解の結果	Resuming ECM residue saved by @cabff8941f3f with GMP-ECM 7.0.5-dev on Sat Nov 25 21:35:05 2023 Input number is 40445041835981149198704957384699943697168609413668270955646424418157716037709934692126321851070141693518225718053704106826179431786645894000869411129784421923658503968672931582546480203040877089998144314703736901118863 (218 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:418205891 Step 1 took 0ms Step 2 took 5532ms ********** Factor found in step 2: 2818831378157368877073283024692340699811 Found prime factor of 40 digits: 2818831378157368877073283024692340699811 Prime cofactor 14348159364686622085493087516343990885268848225046601886172771490279805535128192840081175710187260564756788984224267275256933638396958199461572227735940715250044877426985540804133 has 179 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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	November 25, 2023 19:12:59 UTC 2023 年 11 月 26 日 (日) 4 時 12 分 59 秒 (日本時間)

83×10²⁹⁷+169

c297

composite cofactor 合成数の残り

576388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<297>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2197	1792	Dmitry Domanov	November 25, 2023 19:13:07 UTC 2023 年 11 月 26 日 (日) 4 時 13 分 7 秒 (日本時間)
40	3e6	2197	405	Thomas Kozlowski	October 3, 2024 09:49:36 UTC 2024 年 10 月 3 日 (木) 18 時 49 分 36 秒 (日本時間)

83×10²⁹⁹+169

c282

composite cofactor 合成数の残り

478090024569158867897357768798373836912723079207645882993669426137592455728965499862615534315166372135761414297285996459208888970762675413818932658422210745693974928370792119172215444334506415156875254008744720150265680242435329122963950783932854627978137552038445063128108532521703<282>

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	February 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2195	1792	Dmitry Domanov	November 25, 2023 19:13:15 UTC 2023 年 11 月 26 日 (日) 4 時 13 分 15 秒 (日本時間)
40	3e6	2195	403	Thomas Kozlowski	October 3, 2024 09:53:42 UTC 2024 年 10 月 3 日 (木) 18 時 53 分 42 秒 (日本時間)