Contributed factorization results of 255...558

Table of contents 目次

23×10¹¹⁰+229
- c94
- ECM
23×10¹¹⁴+229
- c113
- ECM
23×10¹¹⁷+229
- c110
- ECM
23×10¹¹⁸+229
- c102
- ECM
23×10¹²²+229
- c105
- ECM
23×10¹⁴⁰+229
- c110
- ECM
23×10¹⁴²+229
- c114
- ECM
23×10¹⁴³+229
- c132
- ECM
23×10¹⁴⁵+229
- c145
- ECM
23×10¹⁴⁶+229
- c93
- ECM
23×10¹⁴⁸+229
- c140
- ECM
23×10¹⁵⁴+229
- c127
- ECM
23×10¹⁵⁵+229
- c140
- ECM
23×10¹⁵⁶+229
- c139
- ECM
23×10¹⁵⁹+229
- c145
- ECM
23×10¹⁶⁰+229
- c115
- ECM
23×10¹⁶¹+229
- c117
- ECM
23×10¹⁶²+229
- c149
- ECM
23×10¹⁶³+229
- c135
- ECM
23×10¹⁶⁴+229
- c155
- ECM
23×10¹⁶⁶+229
- c150
- ECM
23×10¹⁷⁰+229
- c167
- ECM
23×10¹⁷¹+229
- c143
- ECM
23×10¹⁷⁵+229
- c135
- ECM
23×10¹⁸¹+229
- c107
- ECM
23×10¹⁸²+229
- c164
- ECM
23×10¹⁸³+229
- c131
- ECM
23×10¹⁸⁴+229
- c127
- ECM
23×10¹⁸⁷+229
- c183
- ECM
23×10¹⁹¹+229
- c170
- ECM
23×10¹⁹²+229
- c176
- ECM
23×10¹⁹⁵+229
- c170
- ECM
23×10¹⁹⁷+229
- c146
- ECM
23×10¹⁹⁸+229
- c186
- ECM
23×10²⁰⁰+229
- c134
- ECM
23×10²⁰¹+229
- c195
- ECM
23×10²⁰²+229
- c143
- ECM
23×10²⁰⁴+229
- c166
- ECM
23×10²⁰⁵+229
- c191
- ECM
23×10²⁰⁷+229
- c138
- ECM
23×10²⁰⁸+229
- c189
- ECM
23×10²⁰⁹+229
- c176
- ECM
23×10²¹¹+229
- c198
- ECM
23×10²¹²+229
- c192
- ECM
23×10²¹³+229
- c157
- ECM
23×10²¹⁴+229
- c135
- ECM
23×10²¹⁶+229
- c190
- ECM
23×10²¹⁹+229
- c158
- ECM
23×10²²⁰+229
- c155
- ECM
23×10²²¹+229
- c159
- ECM
23×10²²³+229
- c210
- ECM
23×10²²⁴+229
- c224
- ECM
23×10²²⁵+229
- c139
- ECM
23×10²²⁶+229
- c223
- ECM
23×10²²⁷+229
- c210
- ECM
23×10²²⁸+229
- c205
- ECM
23×10²³⁰+229
- c163
- ECM
23×10²³¹+229
- c208
- ECM
23×10²³²+229
- c194
- ECM
23×10²³³+229
- c208
- ECM
23×10²³⁴+229
- c163
- ECM
23×10²³⁵+229
- c187
- ECM
23×10²³⁶+229
- c198
- ECM
23×10²⁴⁰+229
- c232
- ECM
23×10²⁴¹+229
- c209
- ECM
23×10²⁴²+229
- c184
- ECM
23×10²⁴⁴+229
- c170
- ECM
23×10²⁴⁵+229
- c242
- ECM
23×10²⁴⁶+229
- c199
- ECM
23×10²⁴⁷+229
- c183
- ECM
23×10²⁴⁸+229
- c207
- ECM
23×10²⁴⁹+229
- c233
- ECM
23×10²⁵¹+229
- c164
- ECM
23×10²⁵²+229
- c249
- ECM
23×10²⁵⁴+229
- c190
- ECM
23×10²⁵⁶+229
- c217
- ECM
23×10²⁵⁷+229
- c246
- ECM
23×10²⁵⁸+229
- c259
- ECM
23×10²⁶¹+229
- c237
- ECM
23×10²⁶²+229
- c196
- ECM
23×10²⁶³+229
- c238
- ECM
23×10²⁶⁴+229
- c199
- ECM
23×10²⁶⁵+229
- c252
- ECM
23×10²⁶⁶+229
- c244
- ECM
23×10²⁶⁷+229
- c209
- ECM
23×10²⁶⁸+229
- c248
- ECM
23×10²⁷²+229
- c255
- ECM
23×10²⁷³+229
- c210
- ECM
23×10²⁷⁴+229
- c211
- ECM
23×10²⁷⁷+229
- c236
- ECM
23×10²⁷⁸+229
- c216
- ECM
23×10²⁷⁹+229
- c269
- ECM
23×10²⁸¹+229
- c202
- ECM
23×10²⁸²+229
- c265
- ECM
23×10²⁸³+229
- c264
- ECM
23×10²⁸⁴+229
- c270
- ECM
23×10²⁸⁶+229
- c255
- ECM
23×10²⁸⁷+229
- c267
- ECM
23×10²⁸⁸+229
- c226
- ECM
23×10²⁸⁹+229
- c254
- ECM
23×10²⁹⁰+229
- c278
- ECM
23×10²⁹¹+229
- c215
- ECM
23×10²⁹²+229
- c284
- ECM
23×10²⁹³+229
- c290
- ECM
23×10²⁹⁴+229
- c293
- ECM
23×10²⁹⁵+229
- c278
- ECM
23×10²⁹⁸+229
- c290
- ECM
23×10²⁹⁹+229
- c251
- ECM

23×10¹¹⁰+229

c94

name 名前	Eric Jeancolas
date 日付	May 29, 2022 21:25:41 UTC 2022 年 5 月 30 日 (月) 6 時 25 分 41 秒 (日本時間)
composite number 合成数	3331665710357492498051051690011944129067456403932257620605374268738119266215652094690303853391<94>
prime factors 素因数	56477394896979049387123316220846968719658761211<47> 58991136479202262354211204281446103152838312381<47>
factorization results 素因数分解の結果	3331665710357492498051051690011944129067456403932257620605374268738119266215652094690303853391=5647739489697904938712331622084696871965876121158991136479202262354211204281446103152838312381 cado polynomial n: 3331665710357492498051051690011944129067456403932257620605374268738119266215652094690303853391 skew: 0.31 type: snfs c0: 11 c4: 1150 Y0: 1000000000000000000000000000 Y1: -1 # f(x) = 1150x^4+11 # g(x) = -x+1000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 500000 tasks.lim1 = 500000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 44 tasks.sieve.mfb1 = 44 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 58991136479202262354211204281446103152838312381 56477394896979049387123316220846968719658761211 Info:Square Root: Total cpu/real time for sqrt: 4.71/4.13659 Info:Quadratic Characters: Total cpu/real time for characters: 1.17/1.05043 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.71/44.2605 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.099999999999994s Info:Square Root: Total cpu/real time for sqrt: 4.71/4.13659 Info:Linear Algebra: Total cpu/real time for bwc: 50.59/48.11 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 10.23, WCT time 11.03, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1216 iterations) Info:Linear Algebra: Lingen CPU time 32.7, WCT time 28.49 Info:Linear Algebra: Mksol: CPU time 5.45, WCT time 6.42, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (576 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.31/43.7084 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3493523 Info:Lattice Sieving: Average J: 1891.09 for 11816 special-q, max bucket fill -bkmult 1.0,1s:1.360370 Info:Lattice Sieving: Total time: 2726.18s Info:Generate Free Relations: Total cpu/real time for freerel: 18.63/14.3265 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.84/15.9537 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.9s Info:Filtering - Merging: Merged matrix has 38103 rows and total weight 6481644 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 18.68/15.9341 Info:Filtering - Merging: Total cpu/real time for replay: 1.25/1.37784 Info:Generate Factor Base: Total cpu/real time for makefb: 0.27/0.373376 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2615.39/1772.98 Info:root: Cleaning up computation data in /tmp/cado.8794nuao 58991136479202262354211204281446103152838312381 56477394896979049387123316220846968719658761211
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹¹⁴+229

c113

name 名前	Eric Jeancolas
date 日付	May 30, 2022 18:14:47 UTC 2022 年 5 月 31 日 (火) 3 時 14 分 47 秒 (日本時間)
composite number 合成数	12405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609493<113>
prime factors 素因数	5365980510799351025300484113545280578369249832851<49> 2311899841607906670546495693345491891374287019889546654547381943<64>
factorization results 素因数分解の結果	12405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609493=53659805107993510253004841135452805783692498328512311899841607906670546495693345491891374287019889546654547381943 cado polynomial n: 12405609492988133764832793959007551240560949298813376483279395900755124056094929881337648327939590075512405609493 skew: 0.31 type: snfs c0: 11 c4: 1150 Y0: 10000000000000000000000000000 Y1: -1 # f(x) = 1150x^4+11 # g(x) = -x+10000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 580000 tasks.lim1 = 580000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 45 tasks.sieve.mfb1 = 45 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 5365980510799351025300484113545280578369249832851 2311899841607906670546495693345491891374287019889546654547381943 Info:Square Root: Total cpu/real time for sqrt: 10.91/9.52733 Info:Quadratic Characters: Total cpu/real time for characters: 1.53/1.28257 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.4/40.6601 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.5s Info:Square Root: Total cpu/real time for sqrt: 10.91/9.52733 Info:Linear Algebra: Total cpu/real time for bwc: 70.73/66.72 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 15.8, WCT time 17.19, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1472 iterations) Info:Linear Algebra: Lingen CPU time 43.38, WCT time 37.37 Info:Linear Algebra: Mksol: CPU time 8.76, WCT time 9.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.8/43.8469 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3380549 Info:Lattice Sieving: Average J: 1889.58 for 13234 special-q, max bucket fill -bkmult 1.0,1s:1.346230 Info:Lattice Sieving: Total time: 2732.14s Info:Generate Free Relations: Total cpu/real time for freerel: 18.53/13.8404 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.81/20.3392 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.1s Info:Filtering - Merging: Merged matrix has 46524 rows and total weight 7921624 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 18.21/15.2952 Info:Filtering - Merging: Total cpu/real time for replay: 1.49/1.71575 Info:Generate Factor Base: Total cpu/real time for makefb: 0.31/0.416067 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2652.43/1796.19 Info:root: Cleaning up computation data in /tmp/cado.26pgyk7a 5365980510799351025300484113545280578369249832851 2311899841607906670546495693345491891374287019889546654547381943
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹¹⁷+229

c110

name 名前	Eric Jeancolas
date 日付	May 30, 2022 19:03:11 UTC 2022 年 5 月 31 日 (火) 4 時 3 分 11 秒 (日本時間)
composite number 合成数	11832261632409331753279866141603574706912641524433853315034812741274412094557562048876440896938975292744788779<110>
prime factors 素因数	6478168420425254609943297840035098132535910734213321<52> 1826482558728013376533941398101062242827259217150341270099<58>
factorization results 素因数分解の結果	11832261632409331753279866141603574706912641524433853315034812741274412094557562048876440896938975292744788779=64781684204252546099432978400350981325359107342133211826482558728013376533941398101062242827259217150341270099 cado polynomial n: 11832261632409331753279866141603574706912641524433853315034812741274412094557562048876440896938975292744788779 skew: 0.56 type: snfs c0: 11 c4: 115 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 115x^4+11 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 650000 tasks.lim1 = 650000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 45 tasks.sieve.mfb1 = 45 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 6478168420425254609943297840035098132535910734213321 1826482558728013376533941398101062242827259217150341270099 Info:Square Root: Total cpu/real time for sqrt: 7.27/2.4533 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 22.25/21.8204 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 16.6s Info:Square Root: Total cpu/real time for sqrt: 7.27/2.4533 Info:Filtering - Singleton removal: Total cpu/real time for purge: 28.59/24.8336 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3240806 Info:Lattice Sieving: Average J: 1894.49 for 19582 special-q, max bucket fill -bkmult 1.0,1s:1.365630 Info:Lattice Sieving: Total time: 3553.31s Info:Linear Algebra: Total cpu/real time for bwc: 48.28/13.83 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 25.25, WCT time 7.07, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1792 iterations) Info:Linear Algebra: Lingen CPU time 5.89, WCT time 1.54 Info:Linear Algebra: Mksol: CPU time 13.96, WCT time 3.98, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (896 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 18.49/14.186 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.96/10.762 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.7s Info:Filtering - Merging: Merged matrix has 55779 rows and total weight 9487930 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 11.59/3.20692 Info:Filtering - Merging: Total cpu/real time for replay: 1.7/1.40554 Info:Generate Factor Base: Total cpu/real time for makefb: 0.34/0.43573 Info:Quadratic Characters: Total cpu/real time for characters: 1.72/0.684804 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3341.71/2026.63 Info:root: Cleaning up computation data in /tmp/cado.6bb08evh 6478168420425254609943297840035098132535910734213321 1826482558728013376533941398101062242827259217150341270099
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹¹⁸+229

c102

name 名前	Eric Jeancolas
date 日付	May 30, 2022 19:07:20 UTC 2022 年 5 月 31 日 (火) 4 時 7 分 20 秒 (日本時間)
composite number 合成数	600179259257002632167058899083899743793098381748802442603937431108891512454945260038254132328656669131<102>
prime factors 素因数	4628396995060261724277109047328696664224922257<46> 129673245380107740478697839498015414901295901235604067483<57>
factorization results 素因数分解の結果	600179259257002632167058899083899743793098381748802442603937431108891512454945260038254132328656669131=4628396995060261724277109047328696664224922257129673245380107740478697839498015414901295901235604067483 cado polynomial n: 600179259257002632167058899083899743793098381748802442603937431108891512454945260038254132328656669131 skew: 0.31 type: snfs c0: 11 c4: 1150 Y0: 100000000000000000000000000000 Y1: -1 # f(x) = 1150x^4+11 # g(x) = -x+100000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 680000 tasks.lim1 = 680000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 45 tasks.sieve.mfb1 = 45 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 4628396995060261724277109047328696664224922257 129673245380107740478697839498015414901295901235604067483 Info:Square Root: Total cpu/real time for sqrt: 7.62/6.40453 Info:Quadratic Characters: Total cpu/real time for characters: 1.74/1.57482 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.69/40.2848 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.4s Info:Square Root: Total cpu/real time for sqrt: 7.62/6.40453 Info:Linear Algebra: Total cpu/real time for bwc: 90.24/84.62 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 22.22, WCT time 23.43, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1728 iterations) Info:Linear Algebra: Lingen CPU time 52.55, WCT time 44.87 Info:Linear Algebra: Mksol: CPU time 12.17, WCT time 13.07, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (896 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.6/40.9098 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3212347 Info:Lattice Sieving: Average J: 1896.31 for 18406 special-q, max bucket fill -bkmult 1.0,1s:1.356490 Info:Lattice Sieving: Total time: 3415.72s Info:Generate Free Relations: Total cpu/real time for freerel: 18.72/14.5753 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.36/19.2886 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s Info:Filtering - Merging: Merged matrix has 54229 rows and total weight 9232269 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 20/16.8409 Info:Filtering - Merging: Total cpu/real time for replay: 1.74/2.00238 Info:Generate Factor Base: Total cpu/real time for makefb: 0.36/0.429721 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3305.34/2200.31 Info:root: Cleaning up computation data in /tmp/cado.0fv1ivbm 4628396995060261724277109047328696664224922257 129673245380107740478697839498015414901295901235604067483
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹²²+229

c105

name 名前	Eric Jeancolas
date 日付	May 30, 2022 20:39:07 UTC 2022 年 5 月 31 日 (火) 5 時 39 分 7 秒 (日本時間)
composite number 合成数	135484430851667043586987191501106491319081899080617803532087703041870882643731171759992036340692834112039<105>
prime factors 素因数	66087705196275004145305620883054344612284078335291<50> 2050070137089637458761071167482806446973795445910554629<55>
factorization results 素因数分解の結果	135484430851667043586987191501106491319081899080617803532087703041870882643731171759992036340692834112039=660877051962750041453056208830543446122840783352912050070137089637458761071167482806446973795445910554629 cado polynomial n: 135484430851667043586987191501106491319081899080617803532087703041870882643731171759992036340692834112039 skew: 0.31 type: snfs c0: 11 c4: 1150 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 1150x^4+11 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 790000 tasks.lim1 = 790000 tasks.lpb0 = 25 tasks.lpb1 = 25 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 tasks.sieve.lambda0 = 2.2 tasks.sieve.lambda1 = 2.2 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 66087705196275004145305620883054344612284078335291 2050070137089637458761071167482806446973795445910554629 Info:Square Root: Total cpu/real time for sqrt: 9.61/3.19658 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.43/23.4768 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.9s Info:Square Root: Total cpu/real time for sqrt: 9.61/3.19658 Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.95/24.2095 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 3386665 Info:Lattice Sieving: Average J: 1893.22 for 23068 special-q, max bucket fill -bkmult 1.0,1s:1.362400 Info:Lattice Sieving: Total time: 3972.52s Info:Linear Algebra: Total cpu/real time for bwc: 62.65/17.74 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 32.5, WCT time 8.88, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2176 iterations) Info:Linear Algebra: Lingen CPU time 8.06, WCT time 2.08 Info:Linear Algebra: Mksol: CPU time 18.34, WCT time 5.25, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 18.64/13.4561 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.9/12.3492 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 12.3s Info:Filtering - Merging: Merged matrix has 67417 rows and total weight 11465817 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 14/3.8653 Info:Filtering - Merging: Total cpu/real time for replay: 2.01/1.71789 Info:Generate Factor Base: Total cpu/real time for makefb: 0.41/0.547512 Info:Quadratic Characters: Total cpu/real time for characters: 2.1/0.828391 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3790.78/2169.53 Info:root: Cleaning up computation data in /tmp/cado.jugdg6mu 66087705196275004145305620883054344612284078335291 2050070137089637458761071167482806446973795445910554629
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁴⁰+229

c110

name 名前	Eric Jeancolas
date 日付	June 1, 2022 20:23:26 UTC 2022 年 6 月 2 日 (木) 5 時 23 分 26 秒 (日本時間)
composite number 合成数	38203035367569834947922453645218755916387708361245360381271496900583832130005650769975066689618909544530637449<110>
prime factors 素因数	130342339076712781707563254448472322409<39> 293097666024586973808886719950274169516793455583632842483386834055574561<72>
factorization results 素因数分解の結果	38203035367569834947922453645218755916387708361245360381271496900583832130005650769975066689618909544530637449=130342339076712781707563254448472322409293097666024586973808886719950274169516793455583632842483386834055574561 cado polynomial n: 38203035367569834947922453645218755916387708361245360381271496900583832130005650769975066689618909544530637449 skew: 0.99 type: snfs c0: 22 c4: 23 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 23x^4+22 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1590000 tasks.lim1 = 1590000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 293097666024586973808886719950274169516793455583632842483386834055574561 130342339076712781707563254448472322409 Info:Square Root: Total cpu/real time for sqrt: 23.51/19.0998 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.22/78.8211 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.0s Info:Square Root: Total cpu/real time for sqrt: 23.51/19.0998 Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.62/64.0028 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6035987 Info:Lattice Sieving: Average J: 1891.22 for 99081 special-q, max bucket fill -bkmult 1.0,1s:1.341890 Info:Lattice Sieving: Total time: 17324.9s Info:Linear Algebra: Total cpu/real time for bwc: 449.63/437.72 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 204.01, WCT time 207.1, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5120 iterations) Info:Linear Algebra: Lingen CPU time 118.26, WCT time 100.54 Info:Linear Algebra: Mksol: CPU time 112.85, WCT time 116.54, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2560 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 36.4/24.7866 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23/41.4136 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.1s Info:Filtering - Merging: Merged matrix has 162247 rows and total weight 27659884 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 37.23/29.4385 Info:Filtering - Merging: Total cpu/real time for replay: 5.38/5.85112 Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/1.08238 Info:Quadratic Characters: Total cpu/real time for characters: 5.12/4.17807 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16773.3/9578.19 Info:root: Cleaning up computation data in /tmp/cado.6svlil87 293097666024586973808886719950274169516793455583632842483386834055574561 130342339076712781707563254448472322409
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁴²+229

c114

name 名前	ebina
date 日付	May 31, 2022 23:51:28 UTC 2022 年 6 月 1 日 (水) 8 時 51 分 28 秒 (日本時間)
composite number 合成数	154742208457540328682100474003761400803963718616093339318918185451374552420306771367067843910478217254654211332257<114>
prime factors 素因数	2983490262853673247937200551152526049257531<43> 51866168421656329249827881175773619945689574934130633000425247681499347<71>
factorization results 素因数分解の結果	Wed Jun 1 08:43:09 2022 Msieve v. 1.53 (SVN unknown) Wed Jun 1 08:43:09 2022 random seeds: 642f1550 843f0cb4 Wed Jun 1 08:43:09 2022 factoring 154742208457540328682100474003761400803963718616093339318918185451374552420306771367067843910478217254654211332257 (114 digits) Wed Jun 1 08:43:10 2022 searching for 15-digit factors Wed Jun 1 08:43:10 2022 commencing number field sieve (114-digit input) Wed Jun 1 08:43:10 2022 R0: -100000000000000000000000000000000000 Wed Jun 1 08:43:10 2022 R1: 1 Wed Jun 1 08:43:10 2022 A0: 11 Wed Jun 1 08:43:10 2022 A1: 0 Wed Jun 1 08:43:10 2022 A2: 0 Wed Jun 1 08:43:10 2022 A3: 0 Wed Jun 1 08:43:10 2022 A4: 1150 Wed Jun 1 08:43:10 2022 skew 0.31, size 5.165e-15, alpha -0.157, combined = 2.827e-09 rroots = 0 Wed Jun 1 08:43:10 2022 Wed Jun 1 08:43:10 2022 commencing square root phase Wed Jun 1 08:43:11 2022 reading relations for dependency 1 Wed Jun 1 08:43:11 2022 read 131477 cycles Wed Jun 1 08:43:11 2022 cycles contain 436846 unique relations Wed Jun 1 08:43:17 2022 read 436846 relations Wed Jun 1 08:43:19 2022 multiplying 436846 relations Wed Jun 1 08:43:26 2022 multiply complete, coefficients have about 13.28 million bits Wed Jun 1 08:43:26 2022 initial square root is modulo 42518261 Wed Jun 1 08:43:36 2022 sqrtTime: 26 Wed Jun 1 08:43:36 2022 p43 factor: 2983490262853673247937200551152526049257531 Wed Jun 1 08:43:36 2022 p71 factor: 51866168421656329249827881175773619945689574934130633000425247681499347 Wed Jun 1 08:43:36 2022 elapsed time 00:00:27

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁴³+229

c132

name 名前	Bob Backstrom
date 日付	May 30, 2022 06:33:26 UTC 2022 年 5 月 30 日 (月) 15 時 33 分 26 秒 (日本時間)
composite number 合成数	141759181690563887570093979539271086278678016542775228151657088918155033069909364170039017392909537967556215582365341183140269650263<132>
prime factors 素因数	2331692144758369203433193813074262213023<40> 60796697372437321473597477081346670419482745090044751481749350925865963779705117557150999881<92>
factorization results 素因数分解の結果	Number: n N=141759181690563887570093979539271086278678016542775228151657088918155033069909364170039017392909537967556215582365341183140269650263 ( 132 digits) SNFS difficulty: 144 digits. Divisors found: Mon May 30 16:30:22 2022 p40 factor: 2331692144758369203433193813074262213023 Mon May 30 16:30:22 2022 p92 factor: 60796697372437321473597477081346670419482745090044751481749350925865963779705117557150999881 Mon May 30 16:30:22 2022 elapsed time 00:03:08 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.339). Factorization parameters were as follows: # # N = 23x10^143+22 = 25(142)8 # n: 141759181690563887570093979539271086278678016542775228151657088918155033069909364170039017392909537967556215582365341183140269650263 m: 500000000000000000000000000000000000 deg: 4 c4: 92 c0: 55 skew: 0.88 # Murphy_E = 2.086e-09 type: snfs lss: 1 rlim: 1810000 alim: 1810000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1810000/1810000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6505000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 420987 hash collisions in 5809384 relations (6047735 unique) Msieve: matrix is 298939 x 299165 (102.1 MB) Sieving start time : 2022/05/30 16:05:48 Sieving end time : 2022/05/30 16:27:03 Total sieving time: 0hrs 21min 15secs. Total relation processing time: 0hrs 1min 31sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 11sec. Prototype def-par.txt line would be: snfs,144,4,0,0,0,0,0,0,0,0,1810000,1810000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁴⁵+229

c145

name 名前	Bob Backstrom
date 日付	May 29, 2022 17:58:40 UTC 2022 年 5 月 30 日 (月) 2 時 58 分 40 秒 (日本時間)
composite number 合成数	1825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<145>
prime factors 素因数	1681984895472280312640097613196712146639<40> 1085263506414709395305817708099520292177949376336753350650765407222029244764524978009466215941421655899323<106>
factorization results 素因数分解の結果	Number: n N=1825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397 ( 145 digits) SNFS difficulty: 146 digits. Divisors found: Mon May 30 03:54:29 2022 p40 factor: 1681984895472280312640097613196712146639 Mon May 30 03:54:29 2022 p106 factor: 1085263506414709395305817708099520292177949376336753350650765407222029244764524978009466215941421655899323 Mon May 30 03:54:29 2022 elapsed time 00:03:58 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 23x10^145+22 = 25(144)8 # n: 1825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397 m: 100000000000000000000000000000 deg: 5 c5: 23 c0: 22 skew: 0.99 # Murphy_E = 2.163e-09 type: snfs lss: 1 rlim: 1930000 alim: 1930000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1930000/1930000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 13765000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 943579 hash collisions in 8539951 relations (8155503 unique) Msieve: matrix is 302490 x 302738 (94.6 MB) Sieving start time : 2022/05/30 03:33:23 Sieving end time : 2022/05/30 03:50:18 Total sieving time: 0hrs 16min 55secs. Total relation processing time: 0hrs 1min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 13sec. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁴⁶+229

c93

name 名前	Eric Jeancolas
date 日付	May 30, 2022 07:07:48 UTC 2022 年 5 月 30 日 (月) 16 時 7 分 48 秒 (日本時間)
composite number 合成数	464623395919939630341178231008826294369125840257645815983833807407216303299604468392775634977<93>
prime factors 素因数	5915299921922160367264860029127229431699985907<46> 78546041967887494953084727871524566551078970011<47>
factorization results 素因数分解の結果	464623395919939630341178231008826294369125840257645815983833807407216303299604468392775634977=591529992192216036726486002912722943169998590778546041967887494953084727871524566551078970011 cado polynomial n: 464623395919939630341178231008826294369125840257645815983833807407216303299604468392775634977 skew: 446829.468 c0: -8657450973194808586848960 c1: 114711192639631729276 c2: -15707515937479 c3: 231501952 c4: 540 Y0: -27905723692657664213849 Y1: 22039061938848257 # MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.249e-05 # f(x) = 540x^4+231501952x^3-15707515937479x^2+114711192639631729276x-8657450973194808586848960 # g(x) = 22039061938848257x-27905723692657664213849 cado parameters (extracts) tasks.lim0 = 404327 tasks.lim1 = 811066 tasks.lpb0 = 23 tasks.lpb1 = 23 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) nfo:Square Root: Factors: 78546041967887494953084727871524566551078970011 5915299921922160367264860029127229431699985907 Info:Square Root: Total cpu/real time for sqrt: 71.02/24.6937 Info:Filtering - Merging: Merged matrix has 121273 rows and total weight 17623095 (145.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 68.22/16.7795 Info:Filtering - Merging: Total cpu/real time for replay: 9.77/7.88406 Info:Generate Factor Base: Total cpu/real time for makefb: 1.64/0.402116 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 7181.67 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7249/29.890/35.709/42.000/1.350 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4873/28.720/33.663/37.940/1.128 Info:Polynomial Selection (size optimized): Total time: 323.21 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 45.56/39.3552 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.3s Info:Quadratic Characters: Total cpu/real time for characters: 10.04/4.54501 Info:Square Root: Total cpu/real time for sqrt: 71.02/24.6937 Info:Linear Algebra: Total cpu/real time for bwc: 28935.7/6662.28 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 295.76, WCT time 165.3, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3840 iterations) Info:Linear Algebra: Lingen CPU time 28461.24, WCT time 6402.15 Info:Linear Algebra: Mksol: CPU time 164.07, WCT time 86.9, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1920 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 20.03/20.4769 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 2439416 Info:Lattice Sieving: Average J: 1019.48 for 26591 special-q, max bucket fill -bkmult 1.0,1s:1.275850 Info:Lattice Sieving: Total time: 4584.58s Info:Generate Free Relations: Total cpu/real time for freerel: 61.29/12.7473 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.88/24.0448 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.7s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 139.8 Info:Polynomial Selection (root optimized): Rootsieve time: 138.83 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35945.1/7721.11 Info:root: Cleaning up computation data in /tmp/cado.zmasq_0r 78546041967887494953084727871524566551078970011 5915299921922160367264860029127229431699985907
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁴⁸+229

c140

name 名前	Bob Backstrom
date 日付	June 1, 2022 18:15:11 UTC 2022 年 6 月 2 日 (木) 3 時 15 分 11 秒 (日本時間)
composite number 合成数	33975414272884169014884071500718094163447397931047885270017727422810375168451248788701513681490293246447835059023358582717874390968947507457<140>
prime factors 素因数	1283445354904293457329439902766803324793691<43> 26472038052151987611735169125043134346421094859301481101303139512609848776463638954809129399375827<98>
factorization results 素因数分解の結果	Number: n N=33975414272884169014884071500718094163447397931047885270017727422810375168451248788701513681490293246447835059023358582717874390968947507457 ( 140 digits) SNFS difficulty: 149 digits. Divisors found: Thu Jun 2 04:11:53 2022 p43 factor: 1283445354904293457329439902766803324793691 Thu Jun 2 04:11:53 2022 p98 factor: 26472038052151987611735169125043134346421094859301481101303139512609848776463638954809129399375827 Thu Jun 2 04:11:53 2022 elapsed time 00:03:30 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.327). Factorization parameters were as follows: # # N = 23x10^148+22 = 25(147)8 # n: 33975414272884169014884071500718094163447397931047885270017727422810375168451248788701513681490293246447835059023358582717874390968947507457 m: 10000000000000000000000000000000000000 deg: 4 c4: 23 c0: 22 skew: 0.99 # Murphy_E = 1.772e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 584604 hash collisions in 6983816 relations (7154014 unique) Msieve: matrix is 312918 x 313144 (105.9 MB) Sieving start time : 2022/06/02 03:43:41 Sieving end time : 2022/06/02 04:08:12 Total sieving time: 0hrs 24min 31secs. Total relation processing time: 0hrs 1min 40sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 10sec. Prototype def-par.txt line would be: snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁵⁴+229

c127

name 名前	Eric Jeancolas
date 日付	June 4, 2022 02:50:35 UTC 2022 年 6 月 4 日 (土) 11 時 50 分 35 秒 (日本時間)
composite number 合成数	2568626525812714554820724732792966641016023656440987773172145794306939578581765663076193922643067369705815617526667744243999587<127>
prime factors 素因数	2864089731717689649828124784208404057<37> 896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291<90>
factorization results 素因数分解の結果	2568626525812714554820724732792966641016023656440987773172145794306939578581765663076193922643067369705815617526667744243999587=2864089731717689649828124784208404057896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291 cado polynomial n: 2568626525812714554820724732792966641016023656440987773172145794306939578581765663076193922643067369705815617526667744243999587 skew: 0.79 type: snfs c0: 55 c5: 184 Y0: 5000000000000000000000000000000 Y1: -1 # f(x) = 184x^5+55 # g(x) = -x+5000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2800000 tasks.lim1 = 2800000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291 2864089731717689649828124784208404057 Info:Square Root: Total cpu/real time for sqrt: 58.29/44.8579 Info:Quadratic Characters: Total cpu/real time for characters: 9.94/8.3167 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.61/155.852 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.5s Info:Square Root: Total cpu/real time for sqrt: 58.29/44.8579 Info:Linear Algebra: Total cpu/real time for bwc: 1626.17/1398.63 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 881.95, WCT time 781.72, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9856 iterations) Info:Linear Algebra: Lingen CPU time 233.3, WCT time 195.51 Info:Linear Algebra: Mksol: CPU time 481.15, WCT time 395.29, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.19/125.437 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11635878 Info:Lattice Sieving: Average J: 1894.65 for 230934 special-q, max bucket fill -bkmult 1.0,1s:1.259040 Info:Lattice Sieving: Total time: 52659.7s Info:Generate Free Relations: Total cpu/real time for freerel: 59.95/46.6547 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.36/80.7585 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.6s Info:Filtering - Merging: Merged matrix has 312111 rows and total weight 53226592 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 67.79/50.392 Info:Filtering - Merging: Total cpu/real time for replay: 10.75/11.851 Info:Generate Factor Base: Total cpu/real time for makefb: 1.22/1.72357 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51508/28537 Info:root: Cleaning up computation data in /tmp/cado.gw53ckwe 896838704935485381523916822663260441458843643554493532203938362136026560339468644233867291 2864089731717689649828124784208404057
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁵⁵+229

c140

name 名前	Bob Backstrom
date 日付	May 31, 2022 13:20:25 UTC 2022 年 5 月 31 日 (火) 22 時 20 分 25 秒 (日本時間)
composite number 合成数	25707347047876596065437649966637104816178016687154476239118627619289024952196947293654766455019321578744093316182426387109221833035471028587<140>
prime factors 素因数	13417524878958669699861440887761681605581863680910508697687210567<65> 1915953000257953386276682454011645035530627307057512817252915232382135152061<76>
factorization results 素因数分解の結果	Number: n N=25707347047876596065437649966637104816178016687154476239118627619289024952196947293654766455019321578744093316182426387109221833035471028587 ( 140 digits) SNFS difficulty: 156 digits. Divisors found: Tue May 31 23:16:06 2022 p65 factor: 13417524878958669699861440887761681605581863680910508697687210567 Tue May 31 23:16:06 2022 p76 factor: 1915953000257953386276682454011645035530627307057512817252915232382135152061 Tue May 31 23:16:06 2022 elapsed time 00:05:33 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.341). Factorization parameters were as follows: # # N = 23x10^155+22 = 25(154)8 # n: 25707347047876596065437649966637104816178016687154476239118627619289024952196947293654766455019321578744093316182426387109221833035471028587 m: 10000000000000000000000000000000 deg: 5 c5: 23 c0: 22 skew: 0.99 # Murphy_E = 9.013e-10 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 7000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 931976 hash collisions in 13021681 relations (12691935 unique) Msieve: matrix is 375848 x 376074 (126.1 MB) Sieving start time : 2022/05/31 22:47:40 Sieving end time : 2022/05/31 23:10:17 Total sieving time: 0hrs 22min 37secs. Total relation processing time: 0hrs 2min 22sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 17sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁵⁶+229

c139

name 名前	Bob Backstrom
date 日付	June 1, 2022 19:06:06 UTC 2022 年 6 月 2 日 (木) 4 時 6 分 6 秒 (日本時間)
composite number 合成数	1948054463141117420143592243928920232061451903717743623255823529086820226496361434937771230778432217425578444796882436881447837288116451383<139>
prime factors 素因数	427378718268090213502813301190014327633<39> 258283732877173718658584588586600056450645239<45> 17647823346531221507425488982047278843978855875893559409<56>
factorization results 素因数分解の結果	Number: n N=1948054463141117420143592243928920232061451903717743623255823529086820226496361434937771230778432217425578444796882436881447837288116451383 ( 139 digits) SNFS difficulty: 157 digits. Divisors found: Thu Jun 2 05:00:30 2022 found factor: 258283732877173718658584588586600056450645239 Thu Jun 2 05:00:49 2022 p39 factor: 427378718268090213502813301190014327633 Thu Jun 2 05:00:49 2022 p45 factor: 258283732877173718658584588586600056450645239 Thu Jun 2 05:00:49 2022 p56 factor: 17647823346531221507425488982047278843978855875893559409 Thu Jun 2 05:00:49 2022 elapsed time 00:06:00 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.334). Factorization parameters were as follows: # # N = 23x10^156+22 = 25(155)8 # n: 1948054463141117420143592243928920232061451903717743623255823529086820226496361434937771230778432217425578444796882436881447837288116451383 m: 10000000000000000000000000000000 deg: 5 c5: 115 c0: 11 skew: 0.63 # Murphy_E = 8.22e-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, 7050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1049267 hash collisions in 12634079 relations (12408141 unique) Msieve: matrix is 409549 x 409777 (137.8 MB) Sieving start time : 2022/06/02 04:18:29 Sieving end time : 2022/06/02 04:54:34 Total sieving time: 0hrs 36min 5secs. Total relation processing time: 0hrs 2min 29sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 38sec. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁵⁹+229

c145

name 名前	Bob Backstrom
date 日付	June 1, 2022 14:40:40 UTC 2022 年 6 月 1 日 (水) 23 時 40 分 40 秒 (日本時間)
composite number 合成数	7524332305421369147700898089491487693917055369320156341591553220230116176143576177670319414790271311468794470088882318880970318593695631783026961<145>
prime factors 素因数	207263860127123926634081676364697913112472823469202525189272476677<66> 36303156280146328318685055791639070718027970105486722607740739134320688828648093<80>
factorization results 素因数分解の結果	Number: n N=7524332305421369147700898089491487693917055369320156341591553220230116176143576177670319414790271311468794470088882318880970318593695631783026961 ( 145 digits) SNFS difficulty: 160 digits. Divisors found: Wed Jun 1 23:11:47 2022 p66 factor: 207263860127123926634081676364697913112472823469202525189272476677 Wed Jun 1 23:11:47 2022 p80 factor: 36303156280146328318685055791639070718027970105486722607740739134320688828648093 Wed Jun 1 23:11:47 2022 elapsed time 00:09:24 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^159+22 = 25(158)8 # n: 7524332305421369147700898089491487693917055369320156341591553220230116176143576177670319414790271311468794470088882318880970318593695631783026961 m: 50000000000000000000000000000000 deg: 5 c5: 184 c0: 55 skew: 0.79 # Murphy_E = 4.765e-10 type: snfs lss: 1 rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3300000/3300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1066226 hash collisions in 12517542 relations (12260772 unique) Msieve: matrix is 527008 x 527237 (181.2 MB) Sieving start time : 2022/06/01 21:46:37 Sieving end time : 2022/06/01 23:02:09 Total sieving time: 1hrs 15min 32secs. Total relation processing time: 0hrs 3min 57sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 31sec. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁶⁰+229

c115

name 名前	Eric Jeancolas
date 日付	May 31, 2022 18:45:03 UTC 2022 年 6 月 1 日 (水) 3 時 45 分 3 秒 (日本時間)
composite number 合成数	4353504486348400281514364038582146343366399161537981570443679016057955135016465003331987485910646558030757337112459<115>
prime factors 素因数	259441910161564153432902861540798405869<39> 16780266856797772851801908318391588197666220971784344906205410141662783969111<77>
factorization results 素因数分解の結果	4353504486348400281514364038582146343366399161537981570443679016057955135016465003331987485910646558030757337112459=25944191016156415343290286154079840586916780266856797772851801908318391588197666220971784344906205410141662783969111 cado polynomial n: 4353504486348400281514364038582146343366399161537981570443679016057955135016465003331987485910646558030757337112459 skew: 10556.645 c0: 3450628537454236072950565 c1: 2687262243806981587972 c2: -388103885513659831 c3: 190520750171064 c4: 4310718770 c5: 69300 Y0: -9609808508984095919330 Y1: 221269889492729719 # MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.027e-06 # f(x) = 69300x^5+4310718770x^4+190520750171064x^3-388103885513659831x^2+2687262243806981587972x+3450628537454236072950565 # g(x) = 221269889492729719*x-9609808508984095919330 cado parameters (extracts) tasks.lim0 = 2500000 tasks.lim1 = 4500000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 16780266856797772851801908318391588197666220971784344906205410141662783969111 259441910161564153432902861540798405869 Info:Square Root: Total cpu/real time for sqrt: 142.16/43.5452 Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.87/104.738 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 7206023 Info:Lattice Sieving: Average J: 1895.68 for 152977 special-q, max bucket fill -bkmult 1.0,1s:1.245350 Info:Lattice Sieving: Total time: 25000s Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/3.39847 Info:Linear Algebra: Total cpu/real time for bwc: 2616.98/674.83 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1620.22, WCT time 414.27, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations) Info:Linear Algebra: Lingen CPU time 69.45, WCT time 17.68 Info:Linear Algebra: Mksol: CPU time 889.38, WCT time 227.4, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 63.91/41.6742 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.12/31.4201 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.599999999999998s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 319.38 Info:Polynomial Selection (root optimized): Rootsieve time: 318.21 Info:Filtering - Merging: Merged matrix has 441963 rows and total weight 68540764 (155.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 72.36/21.4964 Info:Filtering - Merging: Total cpu/real time for replay: 14.88/12.1359 Info:Quadratic Characters: Total cpu/real time for characters: 15.96/6.247 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21492.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21956/33.540/40.895/46.210/1.078 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17190/32.590/36.196/41.290/0.835 Info:Polynomial Selection (size optimized): Total time: 1798.19 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.43/130.569 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.5s Info:Square Root: Total cpu/real time for sqrt: 142.16/43.5452 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 36788.9/14536.6 Info:root: Cleaning up computation data in /tmp/cado.28lyalwp 16780266856797772851801908318391588197666220971784344906205410141662783969111 259441910161564153432902861540798405869
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁶¹+229

c117

name 名前	Eric Jeancolas
date 日付	June 6, 2022 03:52:02 UTC 2022 年 6 月 6 日 (月) 12 時 52 分 2 秒 (日本時間)
composite number 合成数	218693714717110625902647648776217324891507583903833278276622519108617490964371541428807406426324236716145861957528871<117>
prime factors 素因数	1237513408913515063494564066456205981<37> 5304995987763157285114518385563864243331<40> 33312047599730853957439118736823611568561<41>
factorization results 素因数分解の結果	218693714717110625902647648776217324891507583903833278276622519108617490964371541428807406426324236716145861957528871=1237513408913515063494564066456205981530499598776315728511451838556386424333133312047599730853957439118736823611568561 cado polynomial n: 218693714717110625902647648776217324891507583903833278276622519108617490964371541428807406426324236716145861957528871 skew: 0.63 type: snfs c0: 11 c5: 115 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 115*x^5+11 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3500000 tasks.lim1 = 3500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 33312047599730853957439118736823611568561 5304995987763157285114518385563864243331 1237513408913515063494564066456205981 Info:Square Root: Total cpu/real time for sqrt: 218.2/66.7018 Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.39/90.232 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11621835 Info:Lattice Sieving: Average J: 1893.57 for 247889 special-q, max bucket fill -bkmult 1.0,1s:1.216540 Info:Lattice Sieving: Total time: 60368.8s Info:Generate Free Relations: Total cpu/real time for freerel: 59.51/41.0695 Info:Linear Algebra: Total cpu/real time for bwc: 2545.24/762.19 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1569.8, WCT time 496.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations) Info:Linear Algebra: Lingen CPU time 64.81, WCT time 16.5 Info:Linear Algebra: Mksol: CPU time 867.16, WCT time 221.56, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.42/60.7728 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.32/117.219 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.1s Info:Filtering - Merging: Merged matrix has 419992 rows and total weight 71487851 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 94.59/40.6693 Info:Filtering - Merging: Total cpu/real time for replay: 16.9/16.6511 Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.92645 Info:Quadratic Characters: Total cpu/real time for characters: 13.69/5.36585 Info:Square Root: Total cpu/real time for sqrt: 218.2/66.7018 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59603.4/31625 Info:root: Cleaning up computation data in /tmp/cado.q2sbng4_ 33312047599730853957439118736823611568561 5304995987763157285114518385563864243331 1237513408913515063494564066456205981
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁶²+229

c149

name 名前	Bob Backstrom
date 日付	May 31, 2022 21:09:43 UTC 2022 年 6 月 1 日 (水) 6 時 9 分 43 秒 (日本時間)
composite number 合成数	55233864198335667051301075121995841889728577580123625902077913511072368439686431615790741656250878767358648240722926994218770293231945928112767126593<149>
prime factors 素因数	16028580092455438307261878469684288754085621498287709<53> 3445961144389448039500749267437788616546034807457290809939574039410825927481313102587466236897077<97>
factorization results 素因数分解の結果	Number: n N=55233864198335667051301075121995841889728577580123625902077913511072368439686431615790741656250878767358648240722926994218770293231945928112767126593 ( 149 digits) SNFS difficulty: 163 digits. Divisors found: Wed Jun 1 07:04:24 2022 p53 factor: 16028580092455438307261878469684288754085621498287709 Wed Jun 1 07:04:24 2022 p97 factor: 3445961144389448039500749267437788616546034807457290809939574039410825927481313102587466236897077 Wed Jun 1 07:04:24 2022 elapsed time 00:07:48 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.319). Factorization parameters were as follows: # # N = 23x10^162+22 = 25(161)8 # n: 55233864198335667051301075121995841889728577580123625902077913511072368439686431615790741656250878767358648240722926994218770293231945928112767126593 m: 100000000000000000000000000000000 deg: 5 c5: 1150 c0: 11 skew: 0.39 # Murphy_E = 3.73e-10 type: snfs lss: 1 rlim: 3700000 alim: 3700000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3700000/3700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1278344 hash collisions in 12362482 relations (11827294 unique) Msieve: matrix is 541990 x 542215 (186.1 MB) Sieving start time : 2022/06/01 06:23:36 Sieving end time : 2022/06/01 06:56:20 Total sieving time: 0hrs 32min 44secs. Total relation processing time: 0hrs 4min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 36sec. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁶³+229

c135

name 名前	Bob Backstrom
date 日付	June 2, 2022 09:08:03 UTC 2022 年 6 月 2 日 (木) 18 時 8 分 3 秒 (日本時間)
composite number 合成数	102505035360850331276924094628657989607907266546948341181821919563174681170370711863641769065408643180675560133452692012161712580675187<135>
prime factors 素因数	3807638046812797005225276561794731<34> 26920897968926615255751993646595923114496085515754832914017373775009335178824080803497881772368133977<101>
factorization results 素因数分解の結果	Number: n N=102505035360850331276924094628657989607907266546948341181821919563174681170370711863641769065408643180675560133452692012161712580675187 ( 135 digits) SNFS difficulty: 164 digits. Divisors found: Thu Jun 2 19:03:57 2022 p34 factor: 3807638046812797005225276561794731 Thu Jun 2 19:03:57 2022 p101 factor: 26920897968926615255751993646595923114496085515754832914017373775009335178824080803497881772368133977 Thu Jun 2 19:03:57 2022 elapsed time 00:08:44 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.331). Factorization parameters were as follows: # # N = 23x10^163+22 = 25(162)8 # n: 102505035360850331276924094628657989607907266546948341181821919563174681170370711863641769065408643180675560133452692012161712580675187 m: 100000000000000000000000000000000 deg: 5 c5: 11500 c0: 11 skew: 0.25 # Murphy_E = 3.413e-10 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1184781 hash collisions in 12329017 relations (11908682 unique) Msieve: matrix is 582618 x 582843 (201.2 MB) Sieving start time : 2022/06/02 17:56:05 Sieving end time : 2022/06/02 18:54:58 Total sieving time: 0hrs 58min 53secs. Total relation processing time: 0hrs 5min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 43sec. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁶⁴+229

c155

name 名前	Bob Backstrom
date 日付	June 5, 2022 16:28:32 UTC 2022 年 6 月 6 日 (月) 1 時 28 分 32 秒 (日本時間)
composite number 合成数	20427352656227382094092400149514032426800267856741794303799733182349675447033442699214155393176962602069939415614458984726609936085405680902019916166611153<155>
prime factors 素因数	280525609380289597336927812917179045249579<42> 61984351091542241709151247555339459152441812196919107<53> 1174782620853020737361935645222195676541432471435647512608401<61>
factorization results 素因数分解の結果	Number: n N=20427352656227382094092400149514032426800267856741794303799733182349675447033442699214155393176962602069939415614458984726609936085405680902019916166611153 ( 155 digits) SNFS difficulty: 165 digits. Divisors found: Mon Jun 6 02:23:04 2022 found factor: 1174782620853020737361935645222195676541432471435647512608401 Mon Jun 6 02:23:40 2022 p42 factor: 280525609380289597336927812917179045249579 Mon Jun 6 02:23:40 2022 p53 factor: 61984351091542241709151247555339459152441812196919107 Mon Jun 6 02:23:40 2022 p61 factor: 1174782620853020737361935645222195676541432471435647512608401 Mon Jun 6 02:23:40 2022 elapsed time 00:10:19 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.338). Factorization parameters were as follows: # # N = 23x10^164+22 = 25(163)8 # n: 20427352656227382094092400149514032426800267856741794303799733182349675447033442699214155393176962602069939415614458984726609936085405680902019916166611153 m: 500000000000000000000000000000000 deg: 5 c5: 184 c0: 55 skew: 0.79 # Murphy_E = 3.042e-10 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1345948 hash collisions in 12438032 relations (11825807 unique) Msieve: matrix is 574057 x 574282 (197.1 MB) Sieving start time : 2022/06/06 01:14:08 Sieving end time : 2022/06/06 02:13:07 Total sieving time: 0hrs 58min 59secs. Total relation processing time: 0hrs 5min 1sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 23sec. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁶⁶+229

c150

name 名前	Bob Backstrom
date 日付	June 5, 2022 21:34:57 UTC 2022 年 6 月 6 日 (月) 6 時 34 分 57 秒 (日本時間)
composite number 合成数	103412182660838667322700943869510866311706337393871400152266065751301024615182122976351077598851873657621057374844485201832941253375377289715335482283<150>
prime factors 素因数	7152725705982879799764627730622782771<37> 41406224293575389381944232381989643256368059291807<50> 349168054685656485444418013353563028913854120024857346455302839<63>
factorization results 素因数分解の結果	Number: n N=103412182660838667322700943869510866311706337393871400152266065751301024615182122976351077598851873657621057374844485201832941253375377289715335482283 ( 150 digits) SNFS difficulty: 167 digits. Divisors found: Mon Jun 6 07:29:58 2022 found factor: 7152725705982879799764627730622782771 Mon Jun 6 07:30:30 2022 found factor: 7152725705982879799764627730622782771 Mon Jun 6 07:31:02 2022 p37 factor: 7152725705982879799764627730622782771 Mon Jun 6 07:31:02 2022 p50 factor: 41406224293575389381944232381989643256368059291807 Mon Jun 6 07:31:02 2022 p63 factor: 349168054685656485444418013353563028913854120024857346455302839 Mon Jun 6 07:31:02 2022 elapsed time 00:09:41 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 23x10^166+22 = 25(165)8 # n: 103412182660838667322700943869510866311706337393871400152266065751301024615182122976351077598851873657621057374844485201832941253375377289715335482283 m: 1000000000000000000000000000000000 deg: 5 c5: 115 c0: 11 skew: 0.63 # Murphy_E = 3.355e-10 type: snfs lss: 1 rlim: 4300000 alim: 4300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4300000/4300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 7750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1252606 hash collisions in 12282402 relations (11773551 unique) Msieve: matrix is 552171 x 552397 (191.0 MB) Sieving start time : 2022/06/06 06:33:45 Sieving end time : 2022/06/06 07:21:07 Total sieving time: 0hrs 47min 22secs. Total relation processing time: 0hrs 4min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 11sec. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁷⁰+229

c167

name 名前	Bob Backstrom
date 日付	June 3, 2022 09:35:12 UTC 2022 年 6 月 3 日 (金) 18 時 35 分 12 秒 (日本時間)
composite number 合成数	19422066845687456722568441674688824711624529225988414314907702960598537433922750840215500498218236476330411578929590785495938254716184492746280251980206380571177652801<167>
prime factors 素因数	696680803783011369638376354520572696762169003744639327956551<60> 27877999135651031332615684926703715872962487603634843877677030103445820715526897357134749236691115611133751<107>
factorization results 素因数分解の結果	Number: n N=19422066845687456722568441674688824711624529225988414314907702960598537433922750840215500498218236476330411578929590785495938254716184492746280251980206380571177652801 ( 167 digits) SNFS difficulty: 171 digits. Divisors found: Fri Jun 3 19:30:19 2022 p60 factor: 696680803783011369638376354520572696762169003744639327956551 Fri Jun 3 19:30:19 2022 p107 factor: 27877999135651031332615684926703715872962487603634843877677030103445820715526897357134749236691115611133751 Fri Jun 3 19:30:19 2022 elapsed time 00:13:18 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.312). Factorization parameters were as follows: # # N = 23x10^170+22 = 25(169)8 # n: 19422066845687456722568441674688824711624529225988414314907702960598537433922750840215500498218236476330411578929590785495938254716184492746280251980206380571177652801 m: 10000000000000000000000000000000000 deg: 5 c5: 23 c0: 22 skew: 0.99 # Murphy_E = 2.336e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1235804 hash collisions in 12194179 relations (11699537 unique) Msieve: matrix is 723166 x 723391 (251.3 MB) Sieving start time : 2022/06/03 18:33:33 Sieving end time : 2022/06/03 19:16:46 Total sieving time: 0hrs 43min 13secs. Total relation processing time: 0hrs 8min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 11sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁷¹+229

c143

name 名前	Bob Backstrom
date 日付	June 8, 2022 01:16:57 UTC 2022 年 6 月 8 日 (水) 10 時 16 分 57 秒 (日本時間)
composite number 合成数	22947060786205733384621859134929183581521731349538362929315924894700250618152409688645640129162952776695557057783686944357534485941685811885219<143>
prime factors 素因数	166389479407894582045390331529166855146681204259696708883947051127171<69> 137911728961855132322211351430861132399093587725844648374155889327331477089<75>
factorization results 素因数分解の結果	Number: n N=22947060786205733384621859134929183581521731349538362929315924894700250618152409688645640129162952776695557057783686944357534485941685811885219 ( 143 digits) SNFS difficulty: 172 digits. Divisors found: Wed Jun 8 11:13:25 2022 p69 factor: 166389479407894582045390331529166855146681204259696708883947051127171 Wed Jun 8 11:13:25 2022 p75 factor: 137911728961855132322211351430861132399093587725844648374155889327331477089 Wed Jun 8 11:13:25 2022 elapsed time 00:12:31 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.319). Factorization parameters were as follows: # # N = 23x10^171+22 = 25(170)8 # n: 22947060786205733384621859134929183581521731349538362929315924894700250618152409688645640129162952776695557057783686944357534485941685811885219 m: 10000000000000000000000000000000000 deg: 5 c5: 115 c0: 11 skew: 0.63 # Murphy_E = 2.128e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1300639 hash collisions in 12293651 relations (11729690 unique) Msieve: matrix is 750483 x 750708 (261.5 MB) Sieving start time : 2022/06/08 10:18:02 Sieving end time : 2022/06/08 11:00:37 Total sieving time: 0hrs 42min 35secs. Total relation processing time: 0hrs 8min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 52sec. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁷⁵+229

c135

name 名前	Eric Jeancolas
date 日付	June 23, 2022 16:20:57 UTC 2022 年 6 月 24 日 (金) 1 時 20 分 57 秒 (日本時間)
composite number 合成数	574601172804109012917090698190607347647716501214538040976749903874455826391816003162351709200136373007648892073361725666380004709365957<135>
prime factors 素因数	5234979723759620313378143491465678661946173677<46> 109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641<90>
factorization results 素因数分解の結果	574601172804109012917090698190607347647716501214538040976749903874455826391816003162351709200136373007648892073361725666380004709365957=5234979723759620313378143491465678661946173677109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641 cado polynomial n: 574601172804109012917090698190607347647716501214538040976749903874455826391816003162351709200136373007648892073361725666380004709365957 skew: 0.99 type: snfs c0: 22 c5: 23 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 23x^5+22 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6100000 tasks.lim1 = 6100000 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: 109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641 5234979723759620313378143491465678661946173677 Info:Square Root: Total cpu/real time for sqrt: 172.6/55.6886 Info:Quadratic Characters: Total cpu/real time for characters: 28.04/11.0318 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.61/180.381 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.8s Info:Square Root: Total cpu/real time for sqrt: 172.6/55.6886 Info:Linear Algebra: Total cpu/real time for bwc: 10886.2/2794.49 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 6869.4, WCT time 1755.54, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations) Info:Linear Algebra: Lingen CPU time 150.33, WCT time 38.17 Info:Linear Algebra: Mksol: CPU time 3732.44, WCT time 952.76, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.3/133.509 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22430964 Info:Lattice Sieving: Average J: 1893.06 for 689941 special-q, max bucket fill -bkmult 1.0,1s:1.199520 Info:Lattice Sieving: Total time: 111187s Info:Generate Free Relations: Total cpu/real time for freerel: 117.52/32.3102 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.03/101.463 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.4s Info:Filtering - Merging: Merged matrix has 838232 rows and total weight 142687595 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 196.41/54.6377 Info:Filtering - Merging: Total cpu/real time for replay: 28.89/24.2778 Info:Generate Factor Base: Total cpu/real time for makefb: 2.6/1.41756 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 218732/59251.6 Info:root: Cleaning up computation data in /tmp/cado.stwcrcgj 109761871702426776627559000360589621969567702749836336590126002874206293904656558131907641 5234979723759620313378143491465678661946173677
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	June 10, 2022 11:18:54 UTC 2022 年 6 月 10 日 (金) 20 時 18 分 54 秒 (日本時間)

23×10¹⁸¹+229

c107

name 名前	Eric Jeancolas
date 日付	May 30, 2022 10:55:51 UTC 2022 年 5 月 30 日 (月) 19 時 55 分 51 秒 (日本時間)
composite number 合成数	11464158315322293399070422103400507337420779320858905009889859132568649809140895226140152756656313857294519<107>
prime factors 素因数	466483912560819275241129428082081008298013<42> 24575677760007679769979660128918182435589819000958244443653716963<65>
factorization results 素因数分解の結果	11464158315322293399070422103400507337420779320858905009889859132568649809140895226140152756656313857294519=46648391256081927524112942808208100829801324575677760007679769979660128918182435589819000958244443653716963 cado polynomial n: 11464158315322293399070422103400507337420779320858905009889859132568649809140895226140152756656313857294519 skew: 10994.391 c0: -1903536487563666962887636 c1: -474703182415065471522 c2: 95248987866949872 c3: 378650421993 c4: 252825178 c5: 14400 Y0: -233312750916197256147 Y1: 1941388407826523 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.972e-06 # f(x) = 14400x^5+252825178x^4+378650421993x^3+95248987866949872x^2-474703182415065471522x-1903536487563666962887636 # g(x) = 1941388407826523*x-233312750916197256147 cado parameters (extracts) tasks.lim0 = 1000000 tasks.lim1 = 1600000 tasks.lpb0 = 25 tasks.lpb1 = 26 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 466483912560819275241129428082081008298013 24575677760007679769979660128918182435589819000958244443653716963 Info:Square Root: Total cpu/real time for sqrt: 61.18/45.8586 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 9952.64 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9890/30.410/37.582/43.600/1.118 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7577/29.280/33.309/37.990/0.883 Info:Polynomial Selection (size optimized): Total time: 495.83 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.81/110.545 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 86.40000000000002s Info:Quadratic Characters: Total cpu/real time for characters: 8.54/6.94066 Info:Square Root: Total cpu/real time for sqrt: 61.18/45.8586 Info:Linear Algebra: Total cpu/real time for bwc: 762.62/672.07 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 347.56, WCT time 334.56, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7168 iterations) Info:Linear Algebra: Lingen CPU time 202.35, WCT time 173.82 Info:Linear Algebra: Mksol: CPU time 195.16, WCT time 147.62, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3584 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.4/75.5871 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 5020802 Info:Lattice Sieving: Average J: 1890.31 for 58017 special-q, max bucket fill -bkmult 1.0,1s:1.313700 Info:Lattice Sieving: Total time: 10568.3s Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.33873 Info:Generate Free Relations: Total cpu/real time for freerel: 62.45/24.6526 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.97/35.328 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.2s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 142.19 Info:Polynomial Selection (root optimized): Rootsieve time: 141.56 Info:Filtering - Merging: Merged matrix has 210675 rows and total weight 30709857 (145.8 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 31.41/24.8587 Info:Filtering - Merging: Total cpu/real time for replay: 8.3/9.0575 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11305.1/6594.93 Info:root: Cleaning up computation data in /tmp/cado.ujwxigee 466483912560819275241129428082081008298013 24575677760007679769979660128918182435589819000958244443653716963
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁸²+229

c164

name 名前	Bob Backstrom
date 日付	June 18, 2022 08:43:37 UTC 2022 年 6 月 18 日 (土) 17 時 43 分 37 秒 (日本時間)
composite number 合成数	73299217200561629164843079626721833409401896421515984194341079934696373832052521492384341787739201398537089251853552058477313204329127244774359418685358853902260917<164>
prime factors 素因数	768384003349136646302082152318152823170089662467<48> 128555797452473619058902326635753336513216107523592119<54> 742043482610520617316943415293748425080081096745997048692738129<63>
factorization results 素因数分解の結果	Number: n N=73299217200561629164843079626721833409401896421515984194341079934696373832052521492384341787739201398537089251853552058477313204329127244774359418685358853902260917 ( 164 digits) SNFS difficulty: 183 digits. Divisors found: Sat Jun 18 18:37:10 2022 found factor: 128555797452473619058902326635753336513216107523592119 Sat Jun 18 18:38:18 2022 p48 factor: 768384003349136646302082152318152823170089662467 Sat Jun 18 18:38:18 2022 p54 factor: 128555797452473619058902326635753336513216107523592119 Sat Jun 18 18:38:18 2022 p63 factor: 742043482610520617316943415293748425080081096745997048692738129 Sat Jun 18 18:38:18 2022 elapsed time 00:26:46 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 23x10^182+22 = 25(181)8 # n: 73299217200561629164843079626721833409401896421515984194341079934696373832052521492384341787739201398537089251853552058477313204329127244774359418685358853902260917 m: 1000000000000000000000000000000000000 deg: 5 c5: 1150 c0: 11 skew: 0.39 # Murphy_E = 5.97e-11 type: snfs lss: 1 rlim: 7900000 alim: 7900000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7900000/7900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 23950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3250118 hash collisions in 28698417 relations (27135413 unique) Msieve: matrix is 1021401 x 1021628 (346.4 MB) Sieving start time : 2022/06/18 10:35:43 Sieving end time : 2022/06/18 18:09:40 Total sieving time: 7hrs 33min 57secs. Total relation processing time: 0hrs 17min 30sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 15sec. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved) [ 0.153548] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684) [ 0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	June 9, 2022 10:59:38 UTC 2022 年 6 月 9 日 (木) 19 時 59 分 38 秒 (日本時間)

23×10¹⁸³+229

c131

name 名前	Eric Jeancolas
date 日付	July 10, 2022 21:07:38 UTC 2022 年 7 月 11 日 (月) 6 時 7 分 38 秒 (日本時間)
composite number 合成数	91842095907528418847371887332506520819983028288277307046619808874163938675515003726503873413400331295063611778043649156585846719229<131>
prime factors 素因数	22585053194676123042305512214978721102553971601069<50> 4066498985673319516275750021623013659198738597816617900699042866522463646896586641<82>
factorization results 素因数分解の結果	91842095907528418847371887332506520819983028288277307046619808874163938675515003726503873413400331295063611778043649156585846719229=225850531946761230423055122149787211025539716010694066498985673319516275750021623013659198738597816617900699042866522463646896586641 cado polynomial n: 91842095907528418847371887332506520819983028288277307046619808874163938675515003726503873413400331295063611778043649156585846719229 skew: 0.25 type: snfs c0: 11 c5: 11500 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 11500x^5+11 # g(x) = -x+1000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8200000 tasks.lim1 = 8200000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 22585053194676123042305512214978721102553971601069 4066498985673319516275750021623013659198738597816617900699042866522463646896586641 Info:Square Root: Total cpu/real time for sqrt: 495.37/155.735 Info:Quadratic Characters: Total cpu/real time for characters: 60.61/24.5883 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 356.33/347.089 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 283.20000000000005s Info:Square Root: Total cpu/real time for sqrt: 495.37/155.735 Info:Linear Algebra: Total cpu/real time for bwc: 46070.4/11816 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 29466.96, WCT time 7520.44, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations) Info:Linear Algebra: Lingen CPU time 326.81, WCT time 83.02 Info:Linear Algebra: Mksol: CPU time 15973.15, WCT time 4095.59, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 239.52/285.999 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23619200 Info:Lattice Sieving: Average J: 1893.82 for 1438844 special-q, max bucket fill -bkmult 1.0,1s:1.181380 Info:Lattice Sieving: Total time: 246439s Info:Generate Free Relations: Total cpu/real time for freerel: 119.21/32.5128 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.16/111.55 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.10000000000001s Info:Filtering - Merging: Merged matrix has 1674092 rows and total weight 285435855 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 431.45/120.1 Info:Filtering - Merging: Total cpu/real time for replay: 64.86/54.9864 Info:Generate Factor Base: Total cpu/real time for makefb: 3.57/1.91361 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 508180/136041 Info:root: Cleaning up computation data in /tmp/cado.808u9dsk 22585053194676123042305512214978721102553971601069 4066498985673319516275750021623013659198738597816617900699042866522463646896586641
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	June 8, 2022 19:31:31 UTC 2022 年 6 月 9 日 (木) 4 時 31 分 31 秒 (日本時間)

23×10¹⁸⁴+229

c127

name 名前	Ignacio Santos
date 日付	June 3, 2022 11:17:10 UTC 2022 年 6 月 3 日 (金) 20 時 17 分 10 秒 (日本時間)
composite number 合成数	2495001508444382264974209020229648986452220198904604860001883127961099380341713434846947730971701322451585557831124330629262749<127>
prime factors 素因数	182529529419993963301467772733570864291<39> 13669029424293712074284224741513452694216519552334263693729625649820051817820845829429439<89>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3149322238 Step 1 took 4781ms Step 2 took 2938ms ********** Factor found in step 2: 182529529419993963301467772733570864291 Found prime factor of 39 digits: 182529529419993963301467772733570864291 Prime cofactor 13669029424293712074284224741513452694216519552334263693729625649820051817820845829429439 has 89 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁸⁷+229

c183

name 名前	Bob Backstrom
date 日付	June 11, 2022 03:42:06 UTC 2022 年 6 月 11 日 (土) 12 時 42 分 6 秒 (日本時間)
composite number 合成数	685466325721676829450017583701398947362146761320625383712127985503877355172886528500497708158241391437035447549904928800910776126698019300347501624257163123103791522867752683749679619<183>
prime factors 素因数	49988788919458860651760497497068461696494618614127819516955716101<65> 13712401131103400799510737475228463445586031112181050807048781163494009468510707706092401535391321693434297682291503719<119>
factorization results 素因数分解の結果	Number: n N=685466325721676829450017583701398947362146761320625383712127985503877355172886528500497708158241391437035447549904928800910776126698019300347501624257163123103791522867752683749679619 ( 183 digits) SNFS difficulty: 188 digits. Divisors found: Sat Jun 11 13:38:29 2022 p65 factor: 49988788919458860651760497497068461696494618614127819516955716101 Sat Jun 11 13:38:29 2022 p119 factor: 13712401131103400799510737475228463445586031112181050807048781163494009468510707706092401535391321693434297682291503719 Sat Jun 11 13:38:29 2022 elapsed time 00:34:24 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.343). Factorization parameters were as follows: # # N = 23x10^187+22 = 25(186)8 # n: 685466325721676829450017583701398947362146761320625383712127985503877355172886528500497708158241391437035447549904928800910776126698019300347501624257163123103791522867752683749679619 m: 10000000000000000000000000000000000000 deg: 5 c5: 1150 c0: 11 skew: 0.39 # Murphy_E = 3.734e-11 type: snfs lss: 1 rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3343213 hash collisions in 28205153 relations (26467995 unique) Msieve: matrix is 1205902 x 1206128 (418.6 MB) Sieving start time : 2022/06/11 08:40:30 Sieving end time : 2022/06/11 13:03:38 Total sieving time: 4hrs 23min 8secs. Total relation processing time: 0hrs 25min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 33sec. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154151] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644) [ 0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10¹⁹¹+229

c170

name 名前	Bob Backstrom
date 日付	June 24, 2022 06:33:45 UTC 2022 年 6 月 24 日 (金) 15 時 33 分 45 秒 (日本時間)
composite number 合成数	24517497796167369811050428740520347664945018980516035727217238524943997033038269599511560269238301468573901489449159899859375583529125794769394317932624965800612932359753<170>
prime factors 素因数	121707152625128813613110719065867650616579207092262949<54> 201446646867862510234437753961269456144991611717918871464236672178007209322001335871619792085059347399315214699981397<117>
factorization results 素因数分解の結果	Number: n N=24517497796167369811050428740520347664945018980516035727217238524943997033038269599511560269238301468573901489449159899859375583529125794769394317932624965800612932359753 ( 170 digits) SNFS difficulty: 192 digits. Divisors found: Fri Jun 24 11:57:51 2022 p54 factor: 121707152625128813613110719065867650616579207092262949 Fri Jun 24 11:57:51 2022 p117 factor: 201446646867862510234437753961269456144991611717918871464236672178007209322001335871619792085059347399315214699981397 Fri Jun 24 11:57:51 2022 elapsed time 00:41:07 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 23x10^191+22 = 25(190)8 # n: 24517497796167369811050428740520347664945018980516035727217238524943997033038269599511560269238301468573901489449159899859375583529125794769394317932624965800612932359753 m: 100000000000000000000000000000000000000 deg: 5 c5: 115 c0: 11 skew: 0.63 # Murphy_E = 3.291e-11 type: snfs lss: 1 rlim: 11100000 alim: 11100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11100000/11100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 11150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3146607 hash collisions in 28732459 relations (27307533 unique) Msieve: matrix is 1328465 x 1328691 (463.1 MB) Sieving start time : 2022/06/24 08:02:12 Sieving end time : 2022/06/24 11:15:49 Total sieving time: 3hrs 13min 37secs. Total relation processing time: 0hrs 31min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 37sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268) [ 0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	June 22, 2022 16:54:11 UTC 2022 年 6 月 23 日 (木) 1 時 54 分 11 秒 (日本時間)

23×10¹⁹²+229

c176

name 名前	Bob Backstrom
date 日付	June 28, 2022 08:17:46 UTC 2022 年 6 月 28 日 (火) 17 時 17 分 46 秒 (日本時間)
composite number 合成数	69309542537334797427502428616510222425366983780970592079937159162129131263552835129701217323621844556958248796259819717126071217255303786957649523036397691515456171061141738667<176>
prime factors 素因数	1187378036362339840174854502362432440991326447583449<52> 58371925717669518347283607781320320626890168546435335421602909694927144904805981019428454614394858086748678493880129446907683<125>
factorization results 素因数分解の結果	Number: n N=69309542537334797427502428616510222425366983780970592079937159162129131263552835129701217323621844556958248796259819717126071217255303786957649523036397691515456171061141738667 ( 176 digits) SNFS difficulty: 193 digits. Divisors found: Tue Jun 28 14:56:24 2022 p52 factor: 1187378036362339840174854502362432440991326447583449 Tue Jun 28 14:56:24 2022 p125 factor: 58371925717669518347283607781320320626890168546435335421602909694927144904805981019428454614394858086748678493880129446907683 Tue Jun 28 14:56:24 2022 elapsed time 01:00:32 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 23x10^192+22 = 25(191)8 # n: 69309542537334797427502428616510222425366983780970592079937159162129131263552835129701217323621844556958248796259819717126071217255303786957649523036397691515456171061141738667 m: 100000000000000000000000000000000000000 deg: 5 c5: 1150 c0: 11 skew: 0.39 # Murphy_E = 2.325e-11 type: snfs lss: 1 rlim: 11600000 alim: 11600000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11600000/11600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3425469 hash collisions in 28036732 relations (26175801 unique) Msieve: matrix is 1572457 x 1572682 (546.9 MB) Sieving start time : 2022/06/28 08:56:55 Sieving end time : 2022/06/28 13:55:22 Total sieving time: 4hrs 58min 27secs. Total relation processing time: 0hrs 48min 28sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 16sec. Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268) [ 0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	June 26, 2022 16:45:03 UTC 2022 年 6 月 27 日 (月) 1 時 45 分 3 秒 (日本時間)

23×10¹⁹⁵+229

c170

name 名前	Bob Backstrom
date 日付	August 16, 2022 08:53:15 UTC 2022 年 8 月 16 日 (火) 17 時 53 分 15 秒 (日本時間)
composite number 合成数	55494132289381503216245034297803275862270684092872062028332457202494714574552742128270269275069705075975519175734785159638703284565950691511115133590110392697099187435043<170>
prime factors 素因数	26585627191797607107838527521353232128670878181536573<53> 2087373447653811994571534849598556256309264177795313689753621412020355237279686122291330872416452026692128470111495391<118>
factorization results 素因数分解の結果	Number: n N=55494132289381503216245034297803275862270684092872062028332457202494714574552742128270269275069705075975519175734785159638703284565950691511115133590110392697099187435043 ( 170 digits) SNFS difficulty: 196 digits. Divisors found: Tue Aug 16 18:48:59 2022 p53 factor: 26585627191797607107838527521353232128670878181536573 Tue Aug 16 18:48:59 2022 p118 factor: 2087373447653811994571534849598556256309264177795313689753621412020355237279686122291330872416452026692128470111495391 Tue Aug 16 18:48:59 2022 elapsed time 01:05:56 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 23x10^195+22 = 25(194)8 # n: 55494132289381503216245034297803275862270684092872062028332457202494714574552742128270269275069705075975519175734785159638703284565950691511115133590110392697099187435043 m: 1000000000000000000000000000000000000000 deg: 5 c5: 23 c0: 22 skew: 0.99 # Murphy_E = 2.247e-11 type: snfs lss: 1 rlim: 13100000 alim: 13100000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13100000/13100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 19350000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3296699 hash collisions in 27880156 relations (26166803 unique) Msieve: matrix is 1654728 x 1654953 (577.3 MB) Sieving start time : 2022/08/16 11:28:00 Sieving end time : 2022/08/16 17:42:34 Total sieving time: 6hrs 14min 34secs. Total relation processing time: 0hrs 53min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 8sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	July 26, 2022 09:39:21 UTC 2022 年 7 月 26 日 (火) 18 時 39 分 21 秒 (日本時間)

23×10¹⁹⁷+229

c146

name 名前	Bob Backstrom
date 日付	October 25, 2022 21:58:12 UTC 2022 年 10 月 26 日 (水) 6 時 58 分 12 秒 (日本時間)
composite number 合成数	15760606461084528643824962506632304673285499804996128784364886501968040745829172644139761159602235929206370787205418979999111322874747723481389473<146>
prime factors 素因数	387691886461038094352753556000809890290437753<45> 40652402104547069748791991313458645834672236585828836692686922079814914280673614435751773527595547241<101>
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 15760606461084528643824962506632304673285499804996128784364886501968040745829172644139761159602235929206370787205418979999111322874747723481389473 (146 digits) Using B1=28130000, B2=144287213086, polynomial Dickson(12), sigma=1:274792716 Step 1 took 54543ms Step 2 took 22434ms ********** Factor found in step 2: 387691886461038094352753556000809890290437753 Found prime factor of 45 digits: 387691886461038094352753556000809890290437753 Prime cofactor 40652402104547069748791991313458645834672236585828836692686922079814914280673614435751773527595547241 has 101 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	August 19, 2022 15:57:03 UTC 2022 年 8 月 20 日 (土) 0 時 57 分 3 秒 (日本時間)

23×10¹⁹⁸+229

c186

name 名前	Bob Backstrom
date 日付	August 26, 2022 11:18:49 UTC 2022 年 8 月 26 日 (金) 20 時 18 分 49 秒 (日本時間)
composite number 合成数	149689449212358155193444450328688258683067943820878412360860497709709690319787226647923238812090820501569025863841142811072007931289256513323302878780728489380567781141213130183408049759<186>
prime factors 素因数	1427903268191838604120423787511611874744516743940912128503769298269241751126719347822423<88> 104831645495083633812385457299254853232240285913699261832005018710928660276109732508249921714072633<99>
factorization results 素因数分解の結果	Number: n N=149689449212358155193444450328688258683067943820878412360860497709709690319787226647923238812090820501569025863841142811072007931289256513323302878780728489380567781141213130183408049759 ( 186 digits) SNFS difficulty: 199 digits. Divisors found: Fri Aug 26 21:12:50 2022 p88 factor: 1427903268191838604120423787511611874744516743940912128503769298269241751126719347822423 Fri Aug 26 21:12:50 2022 p99 factor: 104831645495083633812385457299254853232240285913699261832005018710928660276109732508249921714072633 Fri Aug 26 21:12:50 2022 elapsed time 01:35:35 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.334). Factorization parameters were as follows: # # N = 23x10^198+22 = 25(197)8 # n: 149689449212358155193444450328688258683067943820878412360860497709709690319787226647923238812090820501569025863841142811072007931289256513323302878780728489380567781141213130183408049759 m: 1000000000000000000000000000000000000000 deg: 5 c5: 11500 c0: 11 skew: 0.25 # Murphy_E = 1.315e-11 type: snfs lss: 1 rlim: 14500000 alim: 14500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14500000/14500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27250000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3727670 hash collisions in 27594113 relations (25291411 unique) Msieve: matrix is 2070950 x 2071175 (728.3 MB) Sieving start time : 2022/08/26 10:56:26 Sieving end time : 2022/08/26 19:36:44 Total sieving time: 8hrs 40min 18secs. Total relation processing time: 1hrs 24min 11sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 23sec. Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁰⁰+229

c134

name 名前	Eric Jeancolas
date 日付	June 6, 2022 21:00:53 UTC 2022 年 6 月 7 日 (火) 6 時 0 分 53 秒 (日本時間)
composite number 合成数	57644761326873638816212375578598639729609928465336861393320507614741396922433695412329919801341156142498246639732374826939871458854799<134>
prime factors 素因数	55549483969949686259675205856511739178777724767<47> 1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297<88>
factorization results 素因数分解の結果	57644761326873638816212375578598639729609928465336861393320507614741396922433695412329919801341156142498246639732374826939871458854799=555494839699496862596752058565117391787777247671037719114691640048124087839788283997244673815801449150415560640903171499592596136697297 cado polynomial n: 57644761326873638816212375578598639729609928465336861393320507614741396922433695412329919801341156142498246639732374826939871458854799 skew: 51813.949 c0: 229303546847042129421992796100 c1: 70691313231185362672576937 c2: 4537054754131194012992 c3: -64003318604997749 c4: -864354203160 c5: 5292000 Y0: -58065475401229648212050776 Y1: 3486022087608117083 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.278e-07 # f(x) = 5292000x^5-864354203160x^4-64003318604997749x^3+4537054754131194012992x^2+70691313231185362672576937x+229303546847042129421992796100 # g(x) = 3486022087608117083*x-58065475401229648212050776 cado parameters (extracts) tasks.lim0 = 3341873 tasks.lim1 = 16407032 tasks.lpb0 = 27 tasks.lpb1 = 28 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 62 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297 55549483969949686259675205856511739178777724767 Info:Square Root: Total cpu/real time for sqrt: 476.16/139.222 Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/62.8936 Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.91/101.145 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17023750 Info:Lattice Sieving: Average J: 3795.57 for 609801 special-q, max bucket fill -bkmult 1.0,1s:1.307960 Info:Lattice Sieving: Total time: 203868s Info:Generate Factor Base: Total cpu/real time for makefb: 15.22/4.04844 Info:Linear Algebra: Total cpu/real time for bwc: 26226.2/6730.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 16669.59, WCT time 4263.95, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations) Info:Linear Algebra: Lingen CPU time 240.86, WCT time 61.15 Info:Linear Algebra: Mksol: CPU time 9093.62, WCT time 2323.49, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.26/89.5863 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.5s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6431.95 Info:Polynomial Selection (root optimized): Rootsieve time: 6429.45 Info:Filtering - Merging: Merged matrix has 1293545 rows and total weight 221139425 (171.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 338.88/94.9636 Info:Filtering - Merging: Total cpu/real time for replay: 47.83/40.1984 Info:Quadratic Characters: Total cpu/real time for characters: 43.49/18.0486 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 53395.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54290/38.860/48.069/52.990/0.969 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44310/38.810/42.886/48.680/1.025 Info:Polynomial Selection (size optimized): Total time: 11217.7 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.65/165.923 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.8s Info:Square Root: Total cpu/real time for sqrt: 476.16/139.222 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 429907/59143.3 Info:root: Cleaning up computation data in /tmp/cado.ocglgh0s 1037719114691640048124087839788283997244673815801449150415560640903171499592596136697297 55549483969949686259675205856511739178777724767
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)] 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	June 3, 2022 11:43:05 UTC 2022 年 6 月 3 日 (金) 20 時 43 分 5 秒 (日本時間)
45	11e6	4480	Ignacio Santos	June 5, 2022 13:04:56 UTC 2022 年 6 月 5 日 (日) 22 時 4 分 56 秒 (日本時間)

23×10²⁰¹+229

c195

name 名前	Bob Backstrom
date 日付	June 13, 2023 11:47:51 UTC 2023 年 6 月 13 日 (火) 20 時 47 分 51 秒 (日本時間)
composite number 合成数	355351169922656736362773127157966542173246796980429698668696926950892600423708374975082930465531971670910332138086498222178096876948347977046044828693389507246274706910217560509274464684320080187<195>
prime factors 素因数	742207018093581673430372708897161461042833543174761628737087<60> 478776353847211997085776364518124142705915298820964293570492746897862727509171237989745505514666330681273414543500641881299156191991301<135>
factorization results 素因数分解の結果	Number: n N=355351169922656736362773127157966542173246796980429698668696926950892600423708374975082930465531971670910332138086498222178096876948347977046044828693389507246274706910217560509274464684320080187 ( 195 digits) SNFS difficulty: 202 digits. Divisors found: Tue Jun 13 21:40:03 2023 prp60 factor: 742207018093581673430372708897161461042833543174761628737087 Tue Jun 13 21:40:03 2023 prp135 factor: 478776353847211997085776364518124142705915298820964293570492746897862727509171237989745505514666330681273414543500641881299156191991301 Tue Jun 13 21:40:03 2023 elapsed time 03:07:40 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.104). Factorization parameters were as follows: # # N = 23x10^201+22 = 25(200)8 # n: 355351169922656736362773127157966542173246796980429698668696926950892600423708374975082930465531971670910332138086498222178096876948347977046044828693389507246274706910217560509274464684320080187 m: 10000000000000000000000000000000000000000 deg: 5 c5: 115 c0: 11 skew: 0.63 # Murphy_E = 1.262e-11 type: snfs lss: 1 rlim: 16300000 alim: 16300000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16300000/16300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 40994827) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2229891 hash collisions in 15243534 relations (13777226 unique) Msieve: matrix is 2377325 x 2377550 (673.3 MB) Sieving start time: 2023/06/13 00:16:45 Sieving end time : 2023/06/13 18:32:06 Total sieving time: 18hrs 15min 21secs. Total relation processing time: 2hrs 54min 35sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 45sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	November 7, 2022 09:05:44 UTC 2022 年 11 月 7 日 (月) 18 時 5 分 44 秒 (日本時間)

23×10²⁰²+229

c143

name 名前	Dmitry Domanov
date 日付	September 1, 2022 17:17:23 UTC 2022 年 9 月 2 日 (金) 2 時 17 分 23 秒 (日本時間)
composite number 合成数	85351702201392864968014782876340211394255986770939555237526284879821798503168114604483237620342206896433027969344145304841034175500176000354223<143>
prime factors 素因数	16045257237819743299731018126912121726557037<44> 5319434954287501262195104128307071511099386694053293109982187261593085662193833198777764864872595979<100>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 21:03:54 2022 Input number is 85351702201392864968014782876340211394255986770939555237526284879821798503168114604483237620342206896433027969344145304841034175500176000354223 (143 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3243723044 Step 1 took 0ms Step 2 took 3461ms ********** Factor found in step 2: 16045257237819743299731018126912121726557037 Found prime factor of 44 digits: 16045257237819743299731018126912121726557037 Prime cofactor 5319434954287501262195104128307071511099386694053293109982187261593085662193833198777764864872595979 has 100 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁰⁴+229

c166

name 名前	Bob Backstrom
date 日付	November 9, 2023 16:27:59 UTC 2023 年 11 月 10 日 (金) 1 時 27 分 59 秒 (日本時間)
composite number 合成数	7115534290318745354842506792315798892098239634215126217621568900383127821582848288315611719471778989761251804282048343459698052254105213076238560321084682179893106233<166>
prime factors 素因数	69180229761711909272380949982842233984511<41> 102855025414455444605978166871255388839540158614977449437163641733084016421311070413505112164508571890209286115773404509045703<126>
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 7115534290318745354842506792315798892098239634215126217621568900383127821582848288315611719471778989761251804282048343459698052254105213076238560321084682179893106233 (166 digits) Using B1=51890000, B2=288593765476, polynomial Dickson(12), sigma=1:2517558080 Step 1 took 124212ms Step 2 took 42259ms ********** Factor found in step 2: 69180229761711909272380949982842233984511 Found prime factor of 41 digits: 69180229761711909272380949982842233984511 Prime cofactor 102855025414455444605978166871255388839540158614977449437163641733084016421311070413505112164508571890209286115773404509045703 has 126 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁰⁵+229

c191

name 名前	Bob Backstrom
date 日付	January 16, 2024 03:10:01 UTC 2024 年 1 月 16 日 (火) 12 時 10 分 1 秒 (日本時間)
composite number 合成数	41343922462329806323451241461762764515721518331316365267356271679188203368819250751773595247927606908138628158204993345840909345483222475367996902259031352508356205578089593567018352084158031<191>
prime factors 素因数	1633378385652508029825971689492434368359<40> 25311907409509146583040532546341100378582786125814087127829691907439390997081441766913847495394725662795900912296851986762674076129957558249687891669209<152>
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 41343922462329806323451241461762764515721518331316365267356271679188203368819250751773595247927606908138628158204993345840909345483222475367996902259031352508356205578089593567018352084158031 (191 digits) Using B1=51150000, B2=288593074786, polynomial Dickson(12), sigma=1:3305774069 Step 1 took 141132ms Step 2 took 46827ms ********** Factor found in step 2: 1633378385652508029825971689492434368359 Found prime factor of 40 digits: 1633378385652508029825971689492434368359 Prime cofactor 25311907409509146583040532546341100378582786125814087127829691907439390997081441766913847495394725662795900912296851986762674076129957558249687891669209 has 152 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁰⁷+229

c138

name 名前	Ignacio Santos
date 日付	June 3, 2022 12:23:19 UTC 2022 年 6 月 3 日 (金) 21 時 23 分 19 秒 (日本時間)
composite number 合成数	160025075697253558194611491501391557345651252676533572451621800046113612807660323869225485492046880723007385109882498232021853786685533867<138>
prime factors 素因数	1483239928620622725496584042366474436133<40> 107888867208471801183166833788682661043012833212651654259664567933948062750105402078550516676089999<99>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3702540313 Step 1 took 5860ms Step 2 took 3359ms ********** Factor found in step 2: 1483239928620622725496584042366474436133 Found prime factor of 40 digits: 1483239928620622725496584042366474436133 Prime cofactor 107888867208471801183166833788682661043012833212651654259664567933948062750105402078550516676089999 has 99 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁰⁸+229

c189

composite cofactor 合成数の残り	125158187797921868569459574745218914650614444822334531577252238707221976643158163375061758021689531067303251976799922231570563141135350792928200462191704431611424259068189850297380026022069<189>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2500		ccc	March 25, 2024 02:05:02 UTC 2024 年 3 月 25 日 (月) 11 時 5 分 2 秒 (日本時間)

23×10²⁰⁹+229

c176

composite cofactor 合成数の残り	10709892390711151660606937318029354188723542265503181652535501197492761787995277889371931125120596750989826162344748740187913936387765179759732278554943220462838513216407333347<176>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2500		ccc	March 25, 2024 04:09:28 UTC 2024 年 3 月 25 日 (月) 13 時 9 分 28 秒 (日本時間)

23×10²¹¹+229

c198

composite cofactor 合成数の残り

382089052174723057321518669949858473642080948261389302431643019774300363055068765201332040204945797773495481949399071405555559469039378573035353003889011380784930061327219061406099048952030815333977<198>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²¹²+229

c192

composite cofactor 合成数の残り	536805456878469288575079197081193969229690148227768810412074388477499439306787510569405011395068389163580269897294353652607910339419896610318245311163814344735617072631241676524955136225622023<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²¹³+229

c157

composite cofactor 合成数の残り	8586387392519033538873741415984802155581089552045365412153979896047459990017022797045866972118856227385427820354872562334205530287148836508887701553673337687<157>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2500		ccc	March 25, 2024 06:20:58 UTC 2024 年 3 月 25 日 (月) 15 時 20 分 58 秒 (日本時間)

23×10²¹⁴+229

c135

name 名前	Florian Baur
date 日付	June 11, 2022 05:18:54 UTC 2022 年 6 月 11 日 (土) 14 時 18 分 54 秒 (日本時間)
composite number 合成数	584726963535161798669640554910006442161788392525558304742408245417222970672655402790067479510756101360135112999247927734424801060321263<135>
prime factors 素因数	7434218945499751922869073805148951871446124973111868787<55> 78653449383424715116456485536627070660862784270304283175008901276206172675456149<80>
factorization results 素因数分解の結果	skew: 62022.725 c0: 81734323805412126377959440092 c1: -6891535498579025918427711 c2: -9346965048023055517 c3: 5838768760697380 c4: 4136677528 c5: -178080 Y0: -91991577630459715755257370 Y1: 10728569903770711117 PID225504 2022-06-10 22:10:35,221 Info:Square Root: Total cpu/real time for sqrt: 4326.33/172.96 PID225504 2022-06-10 22:10:35,221 Info:HTTP server: Got notification to stop serving Workunits PID225504 2022-06-10 22:10:35,221 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1541.19/352.621 PID225504 2022-06-10 22:10:35,222 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: PID225504 2022-06-10 22:10:35,222 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.4s PID225504 2022-06-10 22:10:35,222 Info:Polynomial Selection (root optimized): Aggregate statistics: PID225504 2022-06-10 22:10:35,222 Info:Polynomial Selection (root optimized): Total time: 1117.25 PID225504 2022-06-10 22:10:35,222 Info:Polynomial Selection (root optimized): Rootsieve time: 1116.86 PID225504 2022-06-10 22:10:35,222 Info:Lattice Sieving: Aggregate statistics: PID225504 2022-06-10 22:10:35,222 Info:Lattice Sieving: Total number of relations: 71115279 PID225504 2022-06-10 22:10:35,222 Info:Lattice Sieving: , max bucket fill -bkmult 1.0,1s:1.082310 PID225504 2022-06-10 22:10:35,223 Info:Lattice Sieving: Total time: 137683s PID225504 2022-06-10 22:10:35,223 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info) PID225504 2022-06-10 22:10:35,223 Debug:Lattice Sieving: KeyError with "Average J: {stats_avg_J[0]:g} for {stats_avg_J[1]:d} special-q" PID225504 2022-06-10 22:10:35,223 Debug:Lattice Sieving: (registered stats: {'stats_max_bucket_fill': ['1.0,1s:1.082310'], 'stats_total_cpu_time': [271048.69000000006], 'stats_total_time': [137682.60999999996]}) PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Total cpu/real time for bwc: 45039.6/2659.91 PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Aggregate statistics: PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Krylov: CPU time 24520.3, WCT time 1560.96, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (54000 iterations) PID225504 2022-06-10 22:10:35,223 Info:Linear Algebra: Lingen CPU time 6450.61, WCT time 140.73 PID225504 2022-06-10 22:10:35,224 Info:Linear Algebra: Mksol: CPU time 12075.62, WCT time 795.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26000 iterations) PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): Aggregate statistics: PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): potential collisions: 53521.2 PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36493/39.280/49.186/59.990/1.453 PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30143/38.730/43.244/49.130/0.999 PID225504 2022-06-10 22:10:35,224 Info:Polynomial Selection (size optimized): Total time: 7999.28 PID225504 2022-06-10 22:10:35,225 Info:Filtering - Merging: Total cpu/real time for merge: 313.58/35.0121 PID225504 2022-06-10 22:10:35,225 Info:Filtering - Merging: Total cpu/real time for replay: 52.92/39.7272 PID225504 2022-06-10 22:10:35,225 Info:Generate Factor Base: Total cpu/real time for makefb: 19.96/2.1686 PID225504 2022-06-10 22:10:35,225 Info:Quadratic Characters: Total cpu/real time for characters: 87.29/16.7648 PID225504 2022-06-10 22:10:35,225 Info:Filtering - Singleton removal: Total cpu/real time for purge: 507.52/121.49 PID225504 2022-06-10 22:10:35,225 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 464.52/127.825 PID225504 2022-06-10 22:10:35,225 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: PID225504 2022-06-10 22:10:35,226 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 127.7s PID225504 2022-06-10 22:10:35,226 Info:Generate Free Relations: Total cpu/real time for freerel: 920.07/46.1506 PID225504 2022-06-10 22:10:35,226 Info:Square Root: Total cpu/real time for sqrt: 4326.33/172.96 PID225504 2022-06-10 22:10:35,227 Info:HTTP server: Shutting down HTTP server PID225504 2022-06-10 22:10:35,439 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 333438/18198.3 7434218945499751922869073805148951871446124973111868787 78653449383424715116456485536627070660862784270304283175008901276206172675456149
software ソフトウェア	CADO
execution environment 実行環境	Epyc 7401P, 128 GB, Ubuntu

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	June 3, 2022 11:52:04 UTC 2022 年 6 月 3 日 (金) 20 時 52 分 4 秒 (日本時間)
45	11e6	4480	Ignacio Santos	June 5, 2022 13:05:11 UTC 2022 年 6 月 5 日 (日) 22 時 5 分 11 秒 (日本時間)

23×10²¹⁶+229

c190

composite cofactor 合成数の残り	1319883449121275053519067143585314772338029727131108660510245841431121668549752584562649015797138026056804514620856459820247238345824662395311875389313378269667724255062855411612832590922211<190>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²¹⁹+229

c158

name 名前	Erik Branger
date 日付	August 15, 2022 15:53:22 UTC 2022 年 8 月 16 日 (火) 0 時 53 分 22 秒 (日本時間)
composite number 合成数	87152277699710641615675434488749653028776501636898219548937656481258683630784092830207954769571193924085442548194727893747237655227941080092929092212162242871<158>
prime factors 素因数	12871427044666471555418777991872313854924538204637<50> 6770987971828958822506204104034142524698041678406965007870708909211195457344072935510214006458256084152834083<109>
factorization results 素因数分解の結果	Number: 25558_219 N = 87152277699710641615675434488749653028776501636898219548937656481258683630784092830207954769571193924085442548194727893747237655227941080092929092212162242871 (158 digits) SNFS difficulty: 222 digits. Divisors found: r1=12871427044666471555418777991872313854924538204637 (pp50) r2=6770987971828958822506204104034142524698041678406965007870708909211195457344072935510214006458256084152834083 (pp109) Version: Msieve v. 1.52 (SVN unknown) Total time: 76.36 hours. Factorization parameters were as follows: n: 87152277699710641615675434488749653028776501636898219548937656481258683630784092830207954769571193924085442548194727893747237655227941080092929092212162242871 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 23 c0: 220 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30280814 Relations: 8974566 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 25.07 hours. Total relation processing time: 0.37 hours. Pruned matrix : 7634493 x 7634718 Matrix solve time: 50.69 hours. time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 76.36 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²⁰+229

c155

name 名前	Erik Branger
date 日付	August 15, 2022 15:53:41 UTC 2022 年 8 月 16 日 (火) 0 時 53 分 41 秒 (日本時間)
composite number 合成数	26834559288208158470543253812163563406220494685647869755522993024510954755891680769194507561154434776386112864403028894594194302614351627650856604499095361<155>
prime factors 素因数	155167749204898291146677722831797502118268519411640956356617963<63> 172939025188625039194334953186811547964296431575028985216314444129814533533034220530732879747<93>
factorization results 素因数分解の結果	Number: 25558_220 N = 26834559288208158470543253812163563406220494685647869755522993024510954755891680769194507561154434776386112864403028894594194302614351627650856604499095361 (155 digits) SNFS difficulty: 222 digits. Divisors found: r1=155167749204898291146677722831797502118268519411640956356617963 (pp63) r2=172939025188625039194334953186811547964296431575028985216314444129814533533034220530732879747 (pp93) Version: Msieve v. 1.52 (SVN unknown) Total time: 48.76 hours. Factorization parameters were as follows: n: 26834559288208158470543253812163563406220494685647869755522993024510954755891680769194507561154434776386112864403028894594194302614351627650856604499095361 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 23 c0: 22 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30062148 Relations: 6751704 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 16.59 hours. Total relation processing time: 0.40 hours. Pruned matrix : 5966695 x 5966920 Matrix solve time: 30.30 hours. time per square root: 1.47 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 48.76 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²¹+229

c159

composite cofactor 合成数の残り	235066848707107402853161616773613219414680264259275152878528220659627676549982468426700386656857988881764402065855536622266060558034680488369478996082202819873<159>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²³+229

c210

composite cofactor 合成数の残り

106134863917147246471921747610008342523397176335485742644855200025186963829746197114980924709208772973908849435576824476834926991338021249488170254291257079195854791544310818597908803401791702010276078968720413<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²⁴+229

c224

composite cofactor 合成数の残り

14197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197531<224>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²⁵+229

c139

name 名前	Eric Jeancolas
date 日付	August 22, 2022 04:07:04 UTC 2022 年 8 月 22 日 (月) 13 時 7 分 4 秒 (日本時間)
composite number 合成数	2321147237703946470914379673976633362224538440632796613903383002415251119007578268568520342076474552041029886434539904536991798728807665441<139>
prime factors 素因数	318742291380430436877649687388980418288337113942190240309732527<63> 7282206661850132115394134963988575964206237882505129967849737591629581819183<76>
factorization results 素因数分解の結果	2321147237703946470914379673976633362224538440632796613903383002415251119007578268568520342076474552041029886434539904536991798728807665441=3187422913804304368776496873889804182883371139421902403097325277282206661850132115394134963988575964206237882505129967849737591629581819183 cado polynomial n: 2321147237703946470914379673976633362224538440632796613903383002415251119007578268568520342076474552041029886434539904536991798728807665441 skew: 174449.619 c0: -18258525702629447044097510910688 c1: 806086399733058945794452319 c2: 2987465253914275168385 c3: 5937167590327212 c4: -143087210736 c5: -279720 Y0: -439095108763508200480020382 Y1: 14401843419497948999 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.034e-07 # f(x) = -279720x^5-143087210736x^4+5937167590327212x^3+2987465253914275168385x^2+806086399733058945794452319x-18258525702629447044097510910688 # g(x) = 14401843419497948999*x-439095108763508200480020382 cado parameters (extracts) tasks.lim0 = 9457107 tasks.lim1 = 12662444 tasks.lpb0 = 28 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 58 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 318742291380430436877649687388980418288337113942190240309732527 7282206661850132115394134963988575964206237882505129967849737591629581819183 Info:Square Root: Total cpu/real time for sqrt: 2501.98/724.896 Info:Filtering - Singleton removal: Total cpu/real time for purge: 162.23/174.861 Info:Filtering - Merging: Merged matrix has 1616208 rows and total weight 276405166 (171.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 394.59/111.174 Info:Filtering - Merging: Total cpu/real time for replay: 64.22/54.2233 Info:Generate Factor Base: Total cpu/real time for makefb: 11.73/3.24556 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32844721 Info:Lattice Sieving: Average J: 3803.43 for 685607 special-q, max bucket fill -bkmult 1.0,1s:1.210220 Info:Lattice Sieving: Total time: 250029s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 6910.91 Info:Polynomial Selection (root optimized): Rootsieve time: 6908.38 Info:Linear Algebra: Total cpu/real time for bwc: 42039.2/10812.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 26851.73, WCT time 6860.85, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations) Info:Linear Algebra: Lingen CPU time 325.79, WCT time 82.78 Info:Linear Algebra: Mksol: CPU time 14569.03, WCT time 3758.83, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66516/39.870/49.783/55.600/0.954 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54614/39.840/44.421/50.450/1.034 Info:Polynomial Selection (size optimized): Total time: 22843.7 Info:Generate Free Relations: Total cpu/real time for freerel: 497.57/125.437 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 387.89/321.203 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 301.0s Info:Square Root: Total cpu/real time for sqrt: 2501.98/724.896 Info:Quadratic Characters: Total cpu/real time for characters: 61.96/27.5596 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.3/156.687 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.6s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 543578/146127 Info:root: Cleaning up computation data in /tmp/cado.2d348ju2 318742291380430436877649687388980418288337113942190240309732527 7282206661850132115394134963988575964206237882505129967849737591629581819183
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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	June 3, 2022 12:47:29 UTC 2022 年 6 月 3 日 (金) 21 時 47 分 29 秒 (日本時間)
45	11e6	4480	Ignacio Santos	June 4, 2022 19:38:59 UTC 2022 年 6 月 5 日 (日) 4 時 38 分 59 秒 (日本時間)
50	43e6	6454	Ignacio Santos	June 20, 2022 17:58:09 UTC 2022 年 6 月 21 日 (火) 2 時 58 分 9 秒 (日本時間)

23×10²²⁶+229

c223

composite cofactor 合成数の残り

6260547661821547171865643203222821057215961674560400675050356579018999401165006260547661821547171865643203222821057215961674560400675050356579018999401165006260547661821547171865643203222821057215961674560400675050356579019<223>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²⁷+229

c210

composite cofactor 合成数の残り

822612198594855321490173194108382054437739995381743110172021857821934533378053032756721634513425607835014481131760193280043583678358424737937490750569050776591287807400225388451717637481433519278744293700662637<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²²⁸+229

c205

name 名前	Dmitry Domanov
date 日付	August 27, 2022 22:31:31 UTC 2022 年 8 月 28 日 (日) 7 時 31 分 31 秒 (日本時間)
composite number 合成数	9412744629758800646662073223143125549353931382937818567059878471536766134355091963066168068224468152881965244948560261476953618341648279421940859191721639974196546822182797546187910287723213836954267935977<205>
prime factors 素因数	50417286468880265879821383254255479<35>
composite cofactor 合成数の残り	186696771861547022132757207661765017467622191789724997229833999586713074662072452904355233886607629766350703641104026859369920866341858545233908876541171907464626140655263<171>
factorization results 素因数分解の結果	GPU: factor 50417286468880265879821383254255479 found in Step 1 with curve 1118 (-sigma 3:-638604444) Computing 1792 Step 1 took 272ms of CPU time / 175386ms of GPU time Throughput: 10.217 curves per second (on average 97.87ms per Step 1) ********** Factor found in step 1: 50417286468880265879821383254255479 Found prime factor of 35 digits: 50417286468880265879821383254255479 Composite cofactor 186696771861547022132757207661765017467622191789724997229833999586713074662072452904355233886607629766350703641104026859369920866341858545233908876541171907464626140655263 has 171 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	August 27, 2022 22:31:23 UTC 2022 年 8 月 28 日 (日) 7 時 31 分 23 秒 (日本時間)

23×10²³⁰+229

c163

composite cofactor 合成数の残り	1073917478947319596530516718506989465635319519697709171930832574013755802574342366769147302851641793644801495150569940324106207616879799570926588617876037801577317<163>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²³¹+229

c208

composite cofactor 合成数の残り

9847914128087878315099488454798359192557686667521902247254736087531881424004532410396628754383596566046415211395614681552836672605743338542196120205703238057961496448155928470597252045366304995364073132606201<208>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²³²+229

c194

composite cofactor 合成数の残り	19597315963021763931201922366797571321455805867072302582873205926388327142982156283024687871952332681379026435105943853864154247955165632050939958535120533362258265564954648931342159265373530437<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²³³+229

c208

composite cofactor 合成数の残り

1919850376005643880288158468281425943580858112052596477641310786394543571780547713786530548370642781780884507646071688329161019267298332720112670395032186212936506814341234783969056154406474905845617465985067<208>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²³⁴+229

c163

composite cofactor 合成数の残り	3642425913597944554023536319216163292283110302674821373131942337578776064888998076043178729008462117063044142869804558286091812837542807559933618969840228940834133<163>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²³⁵+229

c187

name 名前	Dmitry Domanov
date 日付	August 29, 2022 22:15:01 UTC 2022 年 8 月 30 日 (火) 7 時 15 分 1 秒 (日本時間)
composite number 合成数	4725070531343322145467590934926052623475174750817348921086456846135730724432557484014971415964786314916004317228393214218032647437538215734197894348183800186011467051712161048054030816827<187>
prime factors 素因数	1075315346309328670617833275363649453<37> 4394125451255387515973174965148852631252379132338217116205670779669015967628407042059987531875010019580994699438394675672188104878926240491314159194759<151>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 22:02:58 2022 Input number is 4725070531343322145467590934926052623475174750817348921086456846135730724432557484014971415964786314916004317228393214218032647437538215734197894348183800186011467051712161048054030816827 (187 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1845593681 Step 1 took 0ms Step 2 took 6619ms ********** Factor found in step 2: 1075315346309328670617833275363649453 Found prime factor of 37 digits: 1075315346309328670617833275363649453 Prime cofactor 4394125451255387515973174965148852631252379132338217116205670779669015967628407042059987531875010019580994699438394675672188104878926240491314159194759 has 151 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²³⁶+229

c198

composite cofactor 合成数の残り

110202749839535831833640615928391280302874492265497309779414013402652977494037699167089925918845926667876168190605583897174748786074923228671376553635499278488143919147198622450620466508287528427363<198>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴⁰+229

c232

composite cofactor 合成数の残り

8760992597393210229061004286918994025683358698654287844269117784569436367856779632375540560194916330741832484849864999160586444480458980448719802737368785023558229102718800889677731709659946544247534431754131430611514395979616150487<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴¹+229

c209

composite cofactor 合成数の残り

23812304238593345537487156215407136753858952552925616039772221927602289595907914830951426389723543084918316168516222191005584008056636843362946861035352519312641641413064970066957182241951396541317342450504681<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴²+229

c184

name 名前	Dmitry Domanov
date 日付	August 27, 2022 22:32:27 UTC 2022 年 8 月 28 日 (日) 7 時 32 分 27 秒 (日本時間)
composite number 合成数	3158582506549921135973621673713980687114743178075578590758389089153986884078439766464606976938370162188654275842014941182414696806550428403154236388945900458373324258508464113828707331<184>
prime factors 素因数	10083987154182362292650456377288697<35> 313227541671340792681177348912057098022266970051010232610658254268316779398257275369290804150914552822786298239902336696049827551759174702385670920923<150>
factorization results 素因数分解の結果	GPU: factor 10083987154182362292650456377288697 found in Step 1 with curve 1104 (-sigma 3:851484927) Computing 1792 Step 1 took 265ms of CPU time / 178413ms of GPU time Throughput: 10.044 curves per second (on average 99.56ms per Step 1) ********** Factor found in step 1: 10083987154182362292650456377288697 Found prime factor of 35 digits: 10083987154182362292650456377288697 Prime cofactor 313227541671340792681177348912057098022266970051010232610658254268316779398257275369290804150914552822786298239902336696049827551759174702385670920923 has 150 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	August 27, 2022 22:32:14 UTC 2022 年 8 月 28 日 (日) 7 時 32 分 14 秒 (日本時間)

23×10²⁴⁴+229

c170

composite cofactor 合成数の残り	24278589116279677892368115544812697148430282182293135715868460974350887668063304645145211877757602484149455104664967217951515271099113312163336551637422534994304632014677<170>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴⁵+229

c242

composite cofactor 合成数の残り

55100378515643716161180585501413444492357817066743328062862344880456135307364285372047338412150831297014996885630779550572564802836471659240093910210339705811892099084854582914091322888218101672176704518231038282784725216808011115902448373341<242>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴⁶+229

c199

composite cofactor 合成数の残り

1123853310242954821238939856352961963636364338817729209312661276373874037145827012812372772374269588550813790807469422146461259334617211461294305363788574323766896873467472679727262482014597247478559<199>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴⁷+229

c183

composite cofactor 合成数の残り	557114538317867425144857820265436813314642425574879117221027198025986039893709695054527435377143583271312953510425162287715118359144965924570820143789123543125397936343891499964416487<183>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴⁸+229

c207

composite cofactor 合成数の残り

768812567868794222386859060169434044080879651447611901498200440621571008535558606542946835187011141674584967292244364003214577698558672534998684354721361439078494627450831257029840726265930498733781133657329<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁴⁹+229

c233

name 名前	Dmitry Domanov
date 日付	August 29, 2022 22:15:19 UTC 2022 年 8 月 30 日 (火) 7 時 15 分 19 秒 (日本時間)
composite number 合成数	49074001227547120566129035509404156513661565396402048582671380146677524333079772294979180680185013076239107491739967676341449966679646108295844069078142739162188735568320599342540030926253686728190644425204928419887726509669496959727<233>
prime factors 素因数	4849855942291040339827842346064673529<37> 10118651319025546604089296314430033250636064920232701476767987039791840994678625282769037378770582280141234682469635259257104300048769859426696180449057620463889365047831218337259911263814855290663<197>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 22:37:01 2022 Input number is 49074001227547120566129035509404156513661565396402048582671380146677524333079772294979180680185013076239107491739967676341449966679646108295844069078142739162188735568320599342540030926253686728190644425204928419887726509669496959727 (233 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3123880480 Step 1 took 0ms Step 2 took 8534ms ********** Factor found in step 2: 4849855942291040339827842346064673529 Found prime factor of 37 digits: 4849855942291040339827842346064673529 Prime cofactor 10118651319025546604089296314430033250636064920232701476767987039791840994678625282769037378770582280141234682469635259257104300048769859426696180449057620463889365047831218337259911263814855290663 has 197 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁵¹+229

c164

composite cofactor 合成数の残り	28560117637602209940714930002550674289009495917179522157505591726763798611624202513513806332169878820352372049881887377320731800750912559519745315430471754044733233<164>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	June 3, 2022 15:56:49 UTC 2022 年 6 月 4 日 (土) 0 時 56 分 49 秒 (日本時間)
45	11e6	4480	Ignacio Santos	June 7, 2022 10:07:28 UTC 2022 年 6 月 7 日 (火) 19 時 7 分 28 秒 (日本時間)

23×10²⁵²+229

c249

composite cofactor 合成数の残り

149046748836787329730290187539691797244579234547740321681765750353175991808909107404383270474487084775198620993558588332879712793395284938502015371256010472154179141231514962997524527910623793045349093406949466671850901408815791179024586233264642223<249>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁵⁴+229

c190

composite cofactor 合成数の残り	8619055979287867250087411503087717462401965500634303064706851119604540405901491054958064391048922071511340134270169326508896134173014993183185317790999399704349116019368078764147178807855971<190>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁵⁶+229

c217

composite cofactor 合成数の残り

1264709223587283206054005193913646369051882709791745378378956867168783849109055997031617188172266547737381427500698723188316609866351948747735588802512979477631978324437471587863771669371394687637296149259791633183107<217>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁵⁷+229

c246

composite cofactor 合成数の残り

899219980143524939083766516401543776733005026963358933539774941480493693759890916897691944173074928100752284613323003106649776765689588615082967129828465376443960900041066852677968089926775884443024297853678049633531765317240149146776496748166001<246>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁵⁸+229

c259

composite cofactor 合成数の残り

1277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<259>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶¹+229

c237

composite cofactor 合成数の残り

659400321896648112163251499721461473037411291644719064700397430428712765104738476837571554411401060034817825281517434289470211873548595278338029064521564900650967813488638523952039214674573868701341229587625080728892563319202519848260581<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶²+229

c196

composite cofactor 合成数の残り

2522052136412549129882418064068808242873486547981437216777146660333410329593993417667341561645247244240136567928720556679240395854398621771046410270685925754250078470485796541042665496702123806959<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶³+229

c238

composite cofactor 合成数の残り

1758281761271280810494736069908906673308217725073581799621878255448749956025052520569677177045898062447941623085134073401528848482151131256318282104998356890322899648179906399535260542439010406977497536729274683705624494896068748910868509<238>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶⁴+229

c199

composite cofactor 合成数の残り

1260169052532538792012356919092732526471035248085479130120354142556286923393167181778342747162756839632066709009504793490932278113530465521785899484725773501095773900471555639335048360362935711251113<199>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶⁵+229

c252

composite cofactor 合成数の残り

106530501649980668131468057977582729620016730991005666435146135217976540793730670294696231049815425820741776730884340975185770223333268120638235233568123719596033815228126809220150439632025347746584839416795742917706563702163652993644697991818419463167<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶⁶+229

c244

composite cofactor 合成数の残り

1686577319989647775636959313224347507853832924510611888379238112729543051901614696863458819829843981199610858558392202545020597072068500966108632764453796169321141704234905883974046032409504963652366341810808314215131533889024420967388708209631<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶⁷+229

c209

composite cofactor 合成数の残り

53658531090897439186065050822824250571853854933760366675585832087267852877960705147506172409686948212290291770485125605384264152392892147735304790630359014316965340002824080634934015256092048708857662809855111<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁶⁸+229

c248

composite cofactor 合成数の残り

34485750428109217986950095585309255921876424484072954695540422882485226433101395899700344046767027883913165026168516409145764086095262332396089186491099406209737315337887306640467782503665242141844861466026098943512288793288341475087653717597376761<248>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁷²+229

c255

composite cofactor 合成数の残り

119037127283137146866268820895455203530415886960173032396852304238448000605433198999538630097381735750594337226811835471717044618585901250736521200880747888711968642063767831143539805174012478235751376331827471859848826745279609995906836379213435105001283<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁷³+229

c210

composite cofactor 合成数の残り

175704454968047404068664450894978134324000112992950151158316139164904057629119764187999953265992111193331415658314216551346278103518099010310546584189199349713841077289927600361972299935999008813002683560787209<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁷⁴+229

c211

composite cofactor 合成数の残り

6141851259271482247510414344824073396228039219523588625525577674772287247553555058995467963925651210132593117462856624112683843706795192809983489535242935310581325008249918189644709619544181422662627881865716479<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁷⁷+229

c236

composite cofactor 合成数の残り

13000812138274893805852554119210596545602590973697827465616685984925193571274624770427571989567689343529056291980250828236086253100067516023481506587643744772107878544048661300019033150817721711942921067760537316021820278018412353393379<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁷⁸+229

c216

composite cofactor 合成数の残り

291098031803896891918688026782984352543770521686656477178110460068023250294644737202145526169140401069175361872932281264915516279297778409339080298126203666897350439214390710931818587677951069612475425409406227067031<216>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁷⁹+229

c269

composite cofactor 合成数の残り

86404118668540013237184160552141469652172542129271225314086685557424683486302766903316233268293158192363310625297328579693415503854251102976143352819750750357595359486377074114781506252219694619472668437526486992394862349977938363876036013080051704040382646539347120169<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁸¹+229

c202

name 名前	Dmitry Domanov
date 日付	August 28, 2022 01:12:14 UTC 2022 年 8 月 28 日 (日) 10 時 12 分 14 秒 (日本時間)
composite number 合成数	2934794647547022490796438162801684124330317075255021433167063884832989243106926488490914956795913556029819123863252586659869897586727612138232640691399039227363063857026301399528236682089333372916693903<202>
prime factors 素因数	3247738783244959992747441198958693847<37>
composite cofactor 合成数の残り	903642455079080860165959521958817497892766129422044339150491840820029783914091720623164175615444252191490012958415526186091447897500288061337215841585968686860458249<165>
factorization results 素因数分解の結果	GPU: factor 3247738783244959992747441198958693847 found in Step 1 with curve 628 (-sigma 3:2115041631) Computing 1792 Step 1 took 212ms of CPU time / 175253ms of GPU time Throughput: 10.225 curves per second (on average 97.80ms per Step 1) ********** Factor found in step 1: 3247738783244959992747441198958693847 Found prime factor of 37 digits: 3247738783244959992747441198958693847 Composite cofactor 903642455079080860165959521958817497892766129422044339150491840820029783914091720623164175615444252191490012958415526186091447897500288061337215841585968686860458249 has 165 digits Peak memory usage: 9428MB

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	2936	1792	Dmitry Domanov	August 28, 2022 01:12:04 UTC 2022 年 8 月 28 日 (日) 10 時 12 分 4 秒 (日本時間)
40	3e6	2936	1144	ebina	August 28, 2022 23:56:23 UTC 2022 年 8 月 29 日 (月) 8 時 56 分 23 秒 (日本時間)
45	11e6	4480		Ignacio Santos	August 31, 2022 13:09:11 UTC 2022 年 8 月 31 日 (水) 22 時 9 分 11 秒 (日本時間)

23×10²⁸²+229

c265

composite cofactor 合成数の残り

1595148609178018069945554335898045347207437394745179584421181367321553250432528361104642593863014622778196836978573625724856399373570496271610300939000750104583155309366008773280323004648237682983342980558736392910441735692193980260184049737236982492778500698871059<265>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁸³+229

c264

name 名前	Dmitry Domanov
date 日付	August 29, 2022 22:16:40 UTC 2022 年 8 月 30 日 (火) 7 時 16 分 40 秒 (日本時間)
composite number 合成数	243962460518034964629949869531026275819266016425207187738130938299358242892531925947106778175084783427502148549708245020153953727112232047865564932245558582993735010908747918388160576480530390176910951336171705109167863364878661017763414367190007028670595819038021<264>
prime factors 素因数	1947263269111446045376374824946680790833<40>
composite cofactor 合成数の残り	125284785261397785225074646069694434669862747294253112332489123449904756988892237197868114798193018895048295422744269197149236573257220055121817713359034983348124991548094077571682806143256938468846379841806405579518389668437<225>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:01:29 2022 Input number is 243962460518034964629949869531026275819266016425207187738130938299358242892531925947106778175084783427502148549708245020153953727112232047865564932245558582993735010908747918388160576480530390176910951336171705109167863364878661017763414367190007028670595819038021 (264 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1145247411 Step 1 took 0ms Step 2 took 9491ms ********** Factor found in step 2: 1947263269111446045376374824946680790833 Found prime factor of 40 digits: 1947263269111446045376374824946680790833 Composite cofactor 125284785261397785225074646069694434669862747294253112332489123449904756988892237197868114798193018895048295422744269197149236573257220055121817713359034983348124991548094077571682806143256938468846379841806405579518389668437 has 225 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	August 29, 2022 22:16:22 UTC 2022 年 8 月 30 日 (火) 7 時 16 分 22 秒 (日本時間)

23×10²⁸⁴+229

c270

composite cofactor 合成数の残り

544291031551999615930942779358335216805811471409465632312530340194810488425921192157042858216181006365427432543984888802857487528597278489488823804784284482972731107967144662106446563542736901779510045773149874092675670065288360727357561250182507207142289534667824993237<270>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁸⁶+229

c255

name 名前	Dmitry Domanov
date 日付	August 29, 2022 22:17:02 UTC 2022 年 8 月 30 日 (火) 7 時 17 分 2 秒 (日本時間)
composite number 合成数	101057650695035462806673248887123465432079637483413569342154741086433108070059401863491178123108816875654798549087440350876030313494940189067516069978880911140347801506344742941861682373151697681684182928659070946482227513893420458479942813602577317775119<255>
prime factors 素因数	3108852824484002939279622520071775460933<40>
composite cofactor 合成数の残り	32506411979090285768818761937178385508181112878229112142264809794516991814783545473120496371771046819823192972773466142043061711370086198473782661526278359586885301889257578503914272215990624164018650552093959135043<215>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:10:23 2022 Input number is 101057650695035462806673248887123465432079637483413569342154741086433108070059401863491178123108816875654798549087440350876030313494940189067516069978880911140347801506344742941861682373151697681684182928659070946482227513893420458479942813602577317775119 (255 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1849696729 Step 1 took 0ms Step 2 took 9482ms ********** Factor found in step 2: 3108852824484002939279622520071775460933 Found prime factor of 40 digits: 3108852824484002939279622520071775460933 Composite cofactor 32506411979090285768818761937178385508181112878229112142264809794516991814783545473120496371771046819823192972773466142043061711370086198473782661526278359586885301889257578503914272215990624164018650552093959135043 has 215 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	August 29, 2022 22:16:56 UTC 2022 年 8 月 30 日 (火) 7 時 16 分 56 秒 (日本時間)

23×10²⁸⁷+229

c267

name 名前	Dmitry Domanov
date 日付	August 29, 2022 22:17:29 UTC 2022 年 8 月 30 日 (火) 7 時 17 分 29 秒 (日本時間)
composite number 合成数	334338335132542438323970171000621026363163483587532766478422469425197862270241971268531458543670450961669009937294729405483446111919949438088980954315836575084535267600396564273615283173585054755226582558925765227941935217943970978025863014769909061522496021459494121<267>
prime factors 素因数	6562186981665463278458909979392093747923003<43>
composite cofactor 合成数の残り	50949224102676875646568093634004733679551946673951530409568598885914243346294556835952612087703327512347861694431047006451520167629505895283115347980333245995476735604000410881652800124773278855883556044820431863518968977707<224>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:14:51 2022 Input number is 334338335132542438323970171000621026363163483587532766478422469425197862270241971268531458543670450961669009937294729405483446111919949438088980954315836575084535267600396564273615283173585054755226582558925765227941935217943970978025863014769909061522496021459494121 (267 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1708802032 Step 1 took 0ms Step 2 took 9629ms ********** Factor found in step 2: 6562186981665463278458909979392093747923003 Found prime factor of 43 digits: 6562186981665463278458909979392093747923003 Composite cofactor 50949224102676875646568093634004733679551946673951530409568598885914243346294556835952612087703327512347861694431047006451520167629505895283115347980333245995476735604000410881652800124773278855883556044820431863518968977707 has 224 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	August 29, 2022 22:17:23 UTC 2022 年 8 月 30 日 (火) 7 時 17 分 23 秒 (日本時間)

23×10²⁸⁸+229

c226

composite cofactor 合成数の残り

6618131452114125242001011070639934974916533434705663864160038292993568143131411571921865920684473615955040133734992903609068169309623071203338529015627387708650493339001205864729622695302328250449681085205194078830093053342637<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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁸⁹+229

c254

composite cofactor 合成数の残り

78640023025910680193147008297710235146124668922081170777722541582536829640352568365373168509388042933061726837892646370362898850522011769124023595078617800951961965773592621128704303533009806521488277631109930855683342026443500580573954186478205493172179<254>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹⁰+229

c278

composite cofactor 合成数の残り

45222728475237861471335693874559097875449348492906481773320275273243515114471466757266236006416652936587752948740941453365764878917799505852163359007792236771750753507239374980599894559334891169249913641988263528118874340158259560266489438683381563073919002323821347958038607143<278>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹¹+229

c215

composite cofactor 合成数の残り

13186840273664209142400488939014785446304511044678325605322005480403199415525987871345883970733427592575163457367247817475061145766311276019408877784917723224006151352939094316799876785634216395382017631701282386387<215>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹²+229

c284

composite cofactor 合成数の残り

35689064086442421297193397817718439724678682658760010858897395197316873569251993610283344389634700484955943971557052316421219674888583839251497367812508354635336561834966003585983160300073266017595120105042014766043650154096115085580285541492211577561623640503580775505170485900360399<284>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹³+229

c290

composite cofactor 合成数の残り

39843398122163323285867719918234417766690919169871461733014586148356026747046391573987457991199805979974361639469216644146485119356962200741433669403734885493538440217579600180161452378477635727401863978103454249385025811592696531892041714305512247514118421508505699338253126840591761078197<290>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹⁴+229

c293

name 名前	Dmitry Domanov
date 日付	August 28, 2022 07:11:21 UTC 2022 年 8 月 28 日 (日) 16 時 11 分 21 秒 (日本時間)
composite number 合成数	11941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278296988577362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278297<293>
prime factors 素因数	6440254660662604351088040142283117767363<40> 1854250960507497467996294646689989379721200525454054561223269390988178967026052882145380358317963596238358877973312839497633007272348298482771623278717133858141052490019670126537475515224321804914094942525077756132749836636596844010202706580951945016819<253>
factorization results 素因数分解の結果	Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sun Aug 28 00:42:54 2022 Input number is 11941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278296988577362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811007268951194184839044652128764278297 (293 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2435233868 Step 1 took 0ms Step 2 took 8855ms ********** Factor found in step 2: 6440254660662604351088040142283117767363 Found prime factor of 40 digits: 6440254660662604351088040142283117767363 Prime cofactor 1854250960507497467996294646689989379721200525454054561223269390988178967026052882145380358317963596238358877973312839497633007272348298482771623278717133858141052490019670126537475515224321804914094942525077756132749836636596844010202706580951945016819 has 253 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	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹⁵+229

c278

composite cofactor 合成数の残り

18577012914772029276323752022494215911920197470362339390415095452605159167059545803167035450283671898513245821206488937869437749223174170944893433958495649043742969831689030411313460178214505806318015416738702243339898077125712444782255383758703012980327586308189263643159813927<278>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹⁸+229

c290

composite cofactor 合成数の残り

30970736940748917140971451257905041254191760312405927817255866448781014968202676981716754814083472730398489907155658181374449747596048099602307971741839632489428877530023704993975126540984329859843726277383338915727873676523694296547931828305093206821977226295546060266941074505765660644461<290>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10²⁹⁹+229

c251

composite cofactor 合成数の残り

54807734267760069447647668983566871531824584742833560871159948363345395567643096175247993342494749398406173365151060329428200280092886177282824163754644483287480662218011647317574892073332615484186440934899325721928514347561595803470737237362971891183<251>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)