Contributed factorization results of 44...44944...44

Table of contents 目次

4×10¹⁵³+45×10⁷⁶-49
- c115
- ECM
4×10¹⁵⁷+45×10⁷⁸-49
- c122
- ECM
4×10¹⁵⁹+45×10⁷⁹-49
- c118
- ECM
4×10¹⁶¹+45×10⁸⁰-49
- c125
- ECM
4×10¹⁷¹+45×10⁸⁵-49
- c169
- ECM
4×10¹⁷⁹+45×10⁸⁹-49
- c136
- ECM
4×10¹⁸³+45×10⁹¹-49
- c165
- ECM
4×10¹⁸⁹+45×10⁹⁴-49
- c109
- ECM
4×10¹⁹³+45×10⁹⁶-49
- c148
- ECM
4×10¹⁹⁷+45×10⁹⁸-49
- c193
- ECM
4×10¹⁹⁹+45×10⁹⁹-49
- c147
- ECM
4×10²⁰³+45×10¹⁰¹-49
- c176
- ECM
4×10²⁰⁵+45×10¹⁰²-49
- c155
- ECM
4×10²⁰⁷+45×10¹⁰³-49
- c196
- c158
- ECM
4×10²¹¹+45×10¹⁰⁵-49
- c188
- c144
- ECM
4×10²¹³+45×10¹⁰⁶-49
- c153
- ECM
4×10²¹⁵+45×10¹⁰⁷-49
- c196
- ECM
4×10²¹⁷+45×10¹⁰⁸-49
- c179
- ECM
4×10²²⁵+45×10¹¹²-49
- c179
- ECM
4×10²²⁷+45×10¹¹³-49
- c167
- ECM
4×10²³¹+45×10¹¹⁵-49
- c157
- ECM
4×10²³³+45×10¹¹⁶-49
- c170
- ECM
4×10²³⁵+45×10¹¹⁷-49
- c194
- ECM
4×10²³⁷+45×10¹¹⁸-49
- c229
- ECM
4×10²³⁹+45×10¹¹⁹-49
- c221
- ECM
4×10²⁴¹+45×10¹²⁰-49
- c188
- ECM
4×10²⁴⁷+45×10¹²³-49
- c225
- ECM
4×10²⁴⁹+45×10¹²⁴-49
- c217
- ECM
4×10²⁵¹+45×10¹²⁵-49
- c205
- ECM
4×10²⁵³+45×10¹²⁶-49
- c248
- ECM
4×10²⁵⁵+45×10¹²⁷-49
- c247
- ECM
4×10²⁵⁹+45×10¹²⁹-49
- c240
- ECM
4×10²⁶¹+45×10¹³⁰-49
- c248
- ECM
4×10²⁶³+45×10¹³¹-49
- c226
- ECM
4×10²⁶⁷+45×10¹³³-49
- c249
- ECM
4×10²⁶⁹+45×10¹³⁴-49
- c245
- ECM
4×10²⁷¹+45×10¹³⁵-49
- c200
- ECM
4×10²⁷⁵+45×10¹³⁷-49
- c258
- c217
- ECM
4×10²⁷⁷+45×10¹³⁸-49
- c269
- ECM
4×10²⁷⁹+45×10¹³⁹-49
- c228
- ECM
4×10²⁸¹+45×10¹⁴⁰-49
- c244
- ECM
4×10²⁸⁵+45×10¹⁴²-49
- c277
- ECM
4×10²⁸⁷+45×10¹⁴³-49
- c287
- ECM
4×10²⁸⁹+45×10¹⁴⁴-49
- c280
- ECM
4×10²⁹³+45×10¹⁴⁶-49
- c293
- ECM
4×10²⁹⁵+45×10¹⁴⁷-49
- c212
- ECM
4×10²⁹⁹+45×10¹⁴⁹-49
- c280
- ECM
4×10³⁰¹+45×10¹⁵⁰-49
- c273
- ECM

4×10¹⁵³+45×10⁷⁶-49

c115

name 名前	Eric Jeancolas
date 日付	May 24, 2022 21:19:20 UTC 2022 年 5 月 25 日 (水) 6 時 19 分 20 秒 (日本時間)
composite number 合成数	2968760712624254384051175758726957438712425865611815637165932520572709652839526820262379766243732806193903503597293<115>
prime factors 素因数	22900180703886810968493201257648023929341897366417<50> 129639182808735277200833975475682830841173881139583812004215113629<66>
factorization results 素因数分解の結果	2968760712624254384051175758726957438712425865611815637165932520572709652839526820262379766243732806193903503597293=22900180703886810968493201257648023929341897366417129639182808735277200833975475682830841173881139583812004215113629 cado polynomial n: 2968760712624254384051175758726957438712425865611815637165932520572709652839526820262379766243732806193903503597293 skew: 0.56 type: snfs c0: -4 c2: 45 c4: 40 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 40x^4+45*x^2-4 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2500000 tasks.lim1 = 2500000 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: 22900180703886810968493201257648023929341897366417 129639182808735277200833975475682830841173881139583812004215113629 Info:Square Root: Total cpu/real time for sqrt: 284.62/105.431 Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.52/120.225 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11642886 Info:Lattice Sieving: Average J: 1882.38 for 309960 special-q, max bucket fill -bkmult 1.0,1s:1.322100 Info:Lattice Sieving: Total time: 62424.6s Info:Generate Free Relations: Total cpu/real time for freerel: 87.93/59.5851 Info:Linear Algebra: Total cpu/real time for bwc: 1481.09/937.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 907.58, WCT time 626.67, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9856 iterations) Info:Linear Algebra: Lingen CPU time 56.35, WCT time 22.63 Info:Linear Algebra: Mksol: CPU time 487.24, WCT time 261.13, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.25/80.9925 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.9s Info:Filtering - Merging: Merged matrix has 313440 rows and total weight 53299543 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 67.2/51.9801 Info:Filtering - Merging: Total cpu/real time for replay: 10.91/12.3841 Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/2.14942 Info:Quadratic Characters: Total cpu/real time for characters: 10.16/5.75373 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.09/152.481 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 142.7s Info:Square Root: Total cpu/real time for sqrt: 284.62/105.431 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58820.4/33039.3 Info:root: Cleaning up computation data in /tmp/cado.dbevaa0l 22900180703886810968493201257648023929341897366417 129639182808735277200833975475682830841173881139583812004215113629
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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁵⁷+45×10⁷⁸-49

c122

name 名前	Eric Jeancolas
date 日付	May 25, 2022 14:12:52 UTC 2022 年 5 月 25 日 (水) 23 時 12 分 52 秒 (日本時間)
composite number 合成数	93406886161170705245369406440968008805333073302398454533355956509671758813480146878307536769661582829025593266442353393929<122>
prime factors 素因数	265727122026915232462853051696363140266684290513395409<54> 351514310803808787934207615282843581423536640644822316298999679876281<69>
factorization results 素因数分解の結果	93406886161170705245369406440968008805333073302398454533355956509671758813480146878307536769661582829025593266442353393929=265727122026915232462853051696363140266684290513395409351514310803808787934207615282843581423536640644822316298999679876281 cado polynomial n: 93406886161170705245369406440968008805333073302398454533355956509671758813480146878307536769661582829025593266442353393929 skew: 0.56 type: snfs c0: -4 c2: 45 c4: 40 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 40x^4+45*x^2-4 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 3000000 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: 265727122026915232462853051696363140266684290513395409 351514310803808787934207615282843581423536640644822316298999679876281 Info:Square Root: Total cpu/real time for sqrt: 63.22/20.1421 Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.69/67.2788 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11626641 Info:Lattice Sieving: Average J: 1881.67 for 441942 special-q, max bucket fill -bkmult 1.0,1s:1.293540 Info:Lattice Sieving: Total time: 44603.9s Info:Linear Algebra: Total cpu/real time for bwc: 2236.31/582.46 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1385.97, WCT time 360.4, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12160 iterations) Info:Linear Algebra: Lingen CPU time 57.84, WCT time 14.76 Info:Linear Algebra: Mksol: CPU time 756.33, WCT time 192.67, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 87.61/24.5033 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.21/49.599 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s Info:Filtering - Merging: Merged matrix has 388345 rows and total weight 66182251 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 80.33/22.3077 Info:Filtering - Merging: Total cpu/real time for replay: 12.32/10.1952 Info:Generate Factor Base: Total cpu/real time for makefb: 1.86/1.05107 Info:Quadratic Characters: Total cpu/real time for characters: 12.12/4.81683 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.7/84.0694 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.3s Info:Square Root: Total cpu/real time for sqrt: 63.22/20.1421 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 84627.7/23346.7 Info:root: Cleaning up computation data in /tmp/cado.vo4hp0wr 265727122026915232462853051696363140266684290513395409 351514310803808787934207615282843581423536640644822316298999679876281
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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁵⁹+45×10⁷⁹-49

c118

name 名前	bur
date 日付	May 27, 2022 07:12:04 UTC 2022 年 5 月 27 日 (金) 16 時 12 分 4 秒 (日本時間)
composite number 合成数	7578042687565076690362202439495878722466919639807001613288438826458584139306785368136220490026244238231720332952687979<118>
prime factors 素因数	372202906901124521037106184224762853<36> 20359977171210484889735756628746216459555309753417216375766212584058640921597200143<83>
factorization results 素因数分解の結果	Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13434718 Info:Lattice Sieving: Average J: 1907.23 for 204134 special-q, max bucket fill - bkmult 1.0,1s:1.107760 Info:Lattice Sieving: Total time: 23246.4s Info:Polynomial Selection (size optimized): potential collisions: 21449.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14428/35.360/42.082/46.900/1.044 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11305/34.110/37.167/42.570/0.796 Info:Polynomial Selection (size optimized): Total time: 1919.67 Total cpu/real time for makefb: 8.91/0.948042 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 81.7/22.1662 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.1s Info:Quadratic Characters: Total cpu/real time for characters: 22.61/4.7197 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 55447.5/3021.21 372202906901124521037106184224762853 20359977171210484889735756628746216459555309753417216375766212584058640921597200143
software ソフトウェア	cado-nfs
execution environment 実行環境	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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁶¹+45×10⁸⁰-49

c125

name 名前	Eric Jeancolas
date 日付	May 26, 2022 03:25:47 UTC 2022 年 5 月 26 日 (木) 12 時 25 分 47 秒 (日本時間)
composite number 合成数	16331754087752225128100492539362011856541541471064738230049977702204540470263418606887786006537369310015875102102239675036917<125>
prime factors 素因数	1192235456282579561702496267558828217412674508737<49> 13698430122750290650642622108055738858405653771313872947802868975158442265141<77>
factorization results 素因数分解の結果	16331754087752225128100492539362011856541541471064738230049977702204540470263418606887786006537369310015875102102239675036917=119223545628257956170249626755882821741267450873713698430122750290650642622108055738858405653771313872947802868975158442265141 cado polynomial n: 16331754087752225128100492539362011856541541471064738230049977702204540470263418606887786006537369310015875102102239675036917 skew: 0.56 type: snfs c0: -4 c2: 45 c4: 40 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 40x^4+45*x^2-4 # g(x) = -x+1000000000000000000000000000000000000000 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: 1192235456282579561702496267558828217412674508737 13698430122750290650642622108055738858405653771313872947802868975158442265141 Info:Square Root: Total cpu/real time for sqrt: 98.06/87.641 Info:Quadratic Characters: Total cpu/real time for characters: 18.17/14.5425 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.84/162.598 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.2s Info:Square Root: Total cpu/real time for sqrt: 98.06/87.641 Info:Linear Algebra: Total cpu/real time for bwc: 4976.06/3981.95 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2772.06, WCT time 2185.42, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (17152 iterations) Info:Linear Algebra: Lingen CPU time 596.06, WCT time 509.89 Info:Linear Algebra: Mksol: CPU time 1525.45, WCT time 1219.15, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (8704 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.49/93.5888 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11627387 Info:Lattice Sieving: Average J: 1881.31 for 545362 special-q, max bucket fill -bkmult 1.0,1s:1.299640 Info:Lattice Sieving: Total time: 111454s Info:Generate Free Relations: Total cpu/real time for freerel: 88.39/57.5488 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.6/84.1605 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.0s Info:Filtering - Merging: Merged matrix has 548006 rows and total weight 93656837 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 123.41/89.7826 Info:Filtering - Merging: Total cpu/real time for replay: 20.68/22.9223 Info:Generate Factor Base: Total cpu/real time for makefb: 2.2/2.73701 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 109737/60620 Info:root: Cleaning up computation data in /tmp/cado.m_0e00id 1192235456282579561702496267558828217412674508737 13698430122750290650642622108055738858405653771313872947802868975158442265141
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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁷¹+45×10⁸⁵-49

c169

name 名前	Bob Backstrom
date 日付	May 20, 2022 21:50:45 UTC 2022 年 5 月 21 日 (土) 6 時 50 分 45 秒 (日本時間)
composite number 合成数	8547008547008547008547008547008547008547008547008547008547008547008547008547008547009508547008547008547008547008547008547008547008547008547008547008547008547008547008547<169>
prime factors 素因数	1102194455755478442007416097527441772865656942200823000135960127611371056507<76> 7754537779043862898718087223704805942902509702640416970995730142295666363216788850795362681721<94>
factorization results 素因数分解の結果	Number: n N=8547008547008547008547008547008547008547008547008547008547008547008547008547008547009508547008547008547008547008547008547008547008547008547008547008547008547008547008547 ( 169 digits) SNFS difficulty: 172 digits. Divisors found: Sat May 21 07:46:35 2022 p76 factor: 1102194455755478442007416097527441772865656942200823000135960127611371056507 Sat May 21 07:46:35 2022 p94 factor: 7754537779043862898718087223704805942902509702640416970995730142295666363216788850795362681721 Sat May 21 07:46:35 2022 elapsed time 00:13:43 (Msieve 1.54 - dependency 8) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 4x10^171+45x10^85-4 = 4(85)94(85) # n: 8547008547008547008547008547008547008547008547008547008547008547008547008547008547009508547008547008547008547008547008547008547008547008547008547008547008547008547008547 m: 5000000000000000000000000000000000000000000 deg: 4 c4: 16 c2: 45 c0: -10 skew: 0.89 # Murphy_E = 1.151e-10 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1741234 hash collisions in 14565221 relations (14224504 unique) Msieve: matrix is 662003 x 662228 (229.8 MB) Sieving start time : 2022/05/21 05:08:36 Sieving end time : 2022/05/21 07:32:33 Total sieving time: 2hrs 23min 57secs. Total relation processing time: 0hrs 6min 15sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 53sec. Prototype def-par.txt line would be: snfs,172,4,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁷⁹+45×10⁸⁹-49

c136

name 名前	Eric Jeancolas
date 日付	July 21, 2022 16:25:33 UTC 2022 年 7 月 22 日 (金) 1 時 25 分 33 秒 (日本時間)
composite number 合成数	1011248770664291065737228567606228857451247331998933058650426390952095887504065009682133424374849646429242564855704539189434777753544887<136>
prime factors 素因数	592309897827892665680260154087986634269766124505206495187<57> 1707296762003678959858281914425253183652769892923125852099757952802289192313101<79>
factorization results 素因数分解の結果	1011248770664291065737228567606228857451247331998933058650426390952095887504065009682133424374849646429242564855704539189434777753544887=5923098978278926656802601540879866342697661245052064951871707296762003678959858281914425253183652769892923125852099757952802289192313101 cado polynomial n: 1011248770664291065737228567606228857451247331998933058650426390952095887504065009682133424374849646429242564855704539189434777753544887 skew: 0.73 type: snfs c0: -5 c3: 45 c6: 32 Y0: 500000000000000000000000000000 Y1: -1 # f(x) = 32x^6+45*x^3-5 # g(x) = -x+50000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6900000 tasks.lim1 = 6900000 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: 592309897827892665680260154087986634269766124505206495187 1707296762003678959858281914425253183652769892923125852099757952802289192313101 Info:Square Root: Total cpu/real time for sqrt: 420.34/124.546 Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.23/125.895 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22412283 Info:Lattice Sieving: Average J: 1889.86 for 1047447 special-q, max bucket fill -bkmult 1.0,1s:1.218530 Info:Lattice Sieving: Total time: 156760s Info:Linear Algebra: Total cpu/real time for bwc: 15263.1/3938.96 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 9682.57, WCT time 2487.92, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30976 iterations) Info:Linear Algebra: Lingen CPU time 176.88, WCT time 45.14 Info:Linear Algebra: Mksol: CPU time 5243.11, WCT time 1346.77, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15360 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 222.4/56.9999 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.16/101.236 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 226.11/189.344 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.3s Info:Filtering - Merging: Merged matrix has 982993 rows and total weight 167577246 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 234.24/65.5962 Info:Filtering - Merging: Total cpu/real time for replay: 35.08/29.6461 Info:Generate Factor Base: Total cpu/real time for makefb: 5.59/2.62686 Info:Quadratic Characters: Total cpu/real time for characters: 32.53/12.9832 Info:Square Root: Total cpu/real time for sqrt: 420.34/124.546 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 306788/83309.7 Info:root: Cleaning up computation data in /tmp/cado.vdo2_q4r 592309897827892665680260154087986634269766124505206495187 1707296762003678959858281914425253183652769892923125852099757952802289192313101
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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	June 9, 2022 13:04:49 UTC 2022 年 6 月 9 日 (木) 22 時 4 分 49 秒 (日本時間)

4×10¹⁸³+45×10⁹¹-49

c165

name 名前	Bob Backstrom
date 日付	May 27, 2022 17:12:33 UTC 2022 年 5 月 28 日 (土) 2 時 12 分 33 秒 (日本時間)
composite number 合成数	343413095956430124340403517925153132150248506841893848103775213201203077453980881261288088561439194205378297714774005885896066540207469742051678677388950297293295497<165>
prime factors 素因数	23671223729111395081361687170624081837481720371<47> 14507619035094205751597576704714181475565729591265580573362166571061137547475822803643007348167345013883153638706989907<119>
factorization results 素因数分解の結果	Number: n N=343413095956430124340403517925153132150248506841893848103775213201203077453980881261288088561439194205378297714774005885896066540207469742051678677388950297293295497 ( 165 digits) SNFS difficulty: 183 digits. Divisors found: Sat May 28 03:08:14 2022 p47 factor: 23671223729111395081361687170624081837481720371 Sat May 28 03:08:14 2022 p119 factor: 14507619035094205751597576704714181475565729591265580573362166571061137547475822803643007348167345013883153638706989907 Sat May 28 03:08:14 2022 elapsed time 00:26:40 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.331). Factorization parameters were as follows: # # N = 4x10^183+45x10^91-4 = 4(91)94(91) # n: 343413095956430124340403517925153132150248506841893848103775213201203077453980881261288088561439194205378297714774005885896066540207469742051678677388950297293295497 m: 1000000000000000000000000000000 deg: 6 c6: 2000 c3: 225 c0: -2 skew: 0.32 # Murphy_E = 4.256e-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, 16750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3802218 hash collisions in 29281679 relations (27558875 unique) Msieve: matrix is 982211 x 982438 (337.1 MB) Sieving start time : 2022/05/27 22:00:35 Sieving end time : 2022/05/28 02:41:05 Total sieving time: 4hrs 40min 30secs. Total relation processing time: 0hrs 15min 7sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 23sec. Prototype def-par.txt line would be: snfs,183,6,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁸⁹+45×10⁹⁴-49

c109

name 名前	ebina
date 日付	May 20, 2022 22:15:11 UTC 2022 年 5 月 21 日 (土) 7 時 15 分 11 秒 (日本時間)
composite number 合成数	4095325445215544321328359768954715711887158259023896969082901355583403780721926946679085126481764984043600937<109>
prime factors 素因数	3224073954520679854327546636333387513<37> 1270233097312556105608993634497550386833725123726685933116441132460585649<73>
factorization results 素因数分解の結果	Number: 44944_94 N = 4095325445215544321328359768954715711887158259023896969082901355583403780721926946679085126481764984043600937 (109 digits) Divisors found: r1=3224073954520679854327546636333387513 (pp37) r2=1270233097312556105608993634497550386833725123726685933116441132460585649 (pp73) Version: Msieve v. 1.53 (SVN unknown) Total time: 1.38 hours. Factorization parameters were as follows: n: 4095325445215544321328359768954715711887158259023896969082901355583403780721926946679085126481764984043600937 # norm 6.306748e-15 alpha -4.732415 e 3.271e-09 rroots 0 skew: 10048249.86 c0: 310677673164583963986806700832 c1: 79763394865911429078288 c2: 41370256668617114 c3: -1327412817 c4: 252 Y0: -357044224024747774017683061 Y1: 26255194870385 type: gnfs Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 7727448 Relations: 808246 relations Pruned matrix : 457757 x 457984 Polynomial selection time: 0.06 hours. Total sieving time: 1.14 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.10 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,108,4,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 1.38 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel processors: 8, speed: 2.19GHz Windows-7-6.1.7601-SP1 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁹³+45×10⁹⁶-49

c148

name 名前	Ignacio Santos
date 日付	June 28, 2022 14:29:15 UTC 2022 年 6 月 28 日 (火) 23 時 29 分 15 秒 (日本時間)
composite number 合成数	5297809205834975000237510970914455113860164889564300823120701773339401047584474588290956627861328115178900668874992406354268692566727979008295961219<148>
prime factors 素因数	3545152819440051886557853211910257699<37> 1494381053697919530594268843725405766452481813378842838084247462342744666859624137054510137583974746962756392481<112>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2459056205 Step 1 took 5906ms Step 2 took 3516ms ********** Factor found in step 2: 3545152819440051886557853211910257699 Found prime factor of 37 digits: 3545152819440051886557853211910257699 Prime cofactor 1494381053697919530594268843725405766452481813378842838084247462342744666859624137054510137583974746962756392481 has 112 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10¹⁹⁷+45×10⁹⁸-49

c193

name 名前	Dmitry Domanov
date 日付	July 22, 2022 14:24:26 UTC 2022 年 7 月 22 日 (金) 23 時 24 分 26 秒 (日本時間)
composite number 合成数	1206287168723386289340040289991435361102063957345685713941060808936175345902845631431018468256553168614820444154935523950831735002834774846499957779949094681479873098589850299762361427761492901<193>
prime factors 素因数	49694695371654628656130948313354057<35> 24273962436067990640657306644712029810477202928768772332796339764529308082065647350722605801465915041814675940426571826160519366524632792941832922469629760893<158>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1561338853 Step 1 took 8581ms Step 2 took 4379ms ********** Factor found in step 2: 49694695371654628656130948313354057 Found prime factor of 35 digits: 49694695371654628656130948313354057 Prime cofactor 24273962436067990640657306644712029810477202928768772332796339764529308082065647350722605801465915041814675940426571826160519366524632792941832922469629760893 has 158 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000 / 2078		Dmitry Domanov	July 21, 2022 16:47:02 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 2 秒 (日本時間)

4×10¹⁹⁹+45×10⁹⁹-49

c147

name 名前	Eric Jeancolas
date 日付	January 2, 2023 21:12:08 UTC 2023 年 1 月 3 日 (火) 6 時 12 分 8 秒 (日本時間)
composite number 合成数	146203248766042274852497180274313217827747787723345970759976183022200295793860512759597077013110516708909722359415798752931571389392354793392628801<147>
prime factors 素因数	37567848519502943369640175389563175521506292814231120837646789<62> 3891712049736956193685966179429039270592302757741866314278995808951197308210515039309<85>
factorization results 素因数分解の結果	146203248766042274852497180274313217827747787723345970759976183022200295793860512759597077013110516708909722359415798752931571389392354793392628801=375678485195029433696401753895631755215062928142311208376467893891712049736956193685966179429039270592302757741866314278995808951197308210515039309 cado polynomial n: 146203248766042274852497180274313217827747787723345970759976183022200295793860512759597077013110516708909722359415798752931571389392354793392628801 skew: 0.68 type: snfs c0: -4 c3: 45 c6: 40 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 40x^6+45*x^3-4 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14900000 tasks.lim1 = 14900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 37567848519502943369640175389563175521506292814231120837646789 3891712049736956193685966179429039270592302757741866314278995808951197308210515039309 Info:Square Root: Total cpu/real time for sqrt: 773.71/241.071 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 127.89/125.948 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 125.10000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 435.1/427.2 Info:Quadratic Characters: Total cpu/real time for characters: 90.41/39.9205 Info:Generate Free Relations: Total cpu/real time for freerel: 225.84/57.451 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28896316 Info:Lattice Sieving: Average J: 1888.82 for 3530972 special-q, max bucket fill -bkmult 1.0,1s:1.175970 Info:Lattice Sieving: Total time: 793349s Info:Square Root: Total cpu/real time for sqrt: 773.71/241.071 Info:Generate Factor Base: Total cpu/real time for makefb: 11.7/4.1638 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 565.14/602.983 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 501.50000000000006s Info:Filtering - Merging: Merged matrix has 2596926 rows and total weight 444877552 (171.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 726.74/199.37 Info:Filtering - Merging: Total cpu/real time for replay: 100.31/93.0265 Info:Linear Algebra: Total cpu/real time for bwc: 61894.3/15855.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 20173.95, WCT time 5181.76, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (81408 iterations) Info:Linear Algebra: Lingen CPU time 550.29, WCT time 139.52 Info:Linear Algebra: Mksol: CPU time 41165.42, WCT time 10516.64, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.56045e+06/16141.8 37567848519502943369640175389563175521506292814231120837646789 3891712049736956193685966179429039270592302757741866314278995808951197308210515039309
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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:47:09 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 9 秒 (日本時間)
45	11e6	3200 / 4213	1200	Dmitry Domanov	August 14, 2022 13:10:46 UTC 2022 年 8 月 14 日 (日) 22 時 10 分 46 秒 (日本時間)
			1000	Dmitry Domanov	November 21, 2022 13:33:37 UTC 2022 年 11 月 21 日 (月) 22 時 33 分 37 秒 (日本時間)
			1000	Dmitry Domanov	November 21, 2022 21:32:39 UTC 2022 年 11 月 22 日 (火) 6 時 32 分 39 秒 (日本時間)

4×10²⁰³+45×10¹⁰¹-49

c176

name 名前	Dmitry Domanov
date 日付	August 18, 2022 23:39:56 UTC 2022 年 8 月 19 日 (金) 8 時 39 分 56 秒 (日本時間)
composite number 合成数	33854876559947593776106710659203990346022249202689118846738143521661233788888407953644026183074545544351203573095791100980994359734116100383191367021520432557725721703934155451<176>
prime factors 素因数	1397737208166313737415797966728079358319<40> 24221202928669031319321716657677164123719107690894003252882154508917178029625612629275920804154783962231930215478826655639234062683411829<137>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2414183199 Step 1 took 22080ms Step 2 took 9691ms ********** Factor found in step 2: 1397737208166313737415797966728079358319 Found prime factor of 40 digits: 1397737208166313737415797966728079358319 Prime cofactor 24221202928669031319321716657677164123719107690894003252882154508917178029625612629275920804154783962231930215478826655639234062683411829 has 137 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000	Dmitry Domanov	July 21, 2022 16:47:16 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 16 秒 (日本時間)
45	11e6	1200 / 4213	Dmitry Domanov	August 14, 2022 13:10:54 UTC 2022 年 8 月 14 日 (日) 22 時 10 分 54 秒 (日本時間)

4×10²⁰⁵+45×10¹⁰²-49

c155

composite cofactor 合成数の残り	13434773064064164177975527984323262199896646859571467103564847480976210064634108108820685690005590524422106735597538590541596130557365228029134623041872207<155>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:47:23 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 23 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:01 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 1 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:32:46 UTC 2022 年 9 月 7 日 (水) 5 時 32 分 46 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:11 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 11 秒 (日本時間)
50	43e6	2792 / 6792	1000	Dmitry Domanov	November 21, 2022 21:17:53 UTC 2022 年 11 月 22 日 (火) 6 時 17 分 53 秒 (日本時間)
50	43e6	2792 / 6792	1792	Dmitry Domanov	December 30, 2022 05:39:29 UTC 2022 年 12 月 30 日 (金) 14 時 39 分 29 秒 (日本時間)

4×10²⁰⁷+45×10¹⁰³-49

c196

name 名前	Dmitry Domanov
date 日付	August 16, 2022 14:08:03 UTC 2022 年 8 月 16 日 (火) 23 時 8 分 3 秒 (日本時間)
composite number 合成数	5175719254720733118920910004603386201003205109544719397139441959575652297281271603763197583303412431744094918539293809370542199085984522250200469605761988199598710245809624098573681297311687023331<196>
prime factors 素因数	207275976186877172794338335047359758389<39>
composite cofactor 合成数の残り	24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479<158>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2382681392 Step 1 took 33337ms Step 2 took 13632ms ********** Factor found in step 2: 207275976186877172794338335047359758389 Found prime factor of 39 digits: 207275976186877172794338335047359758389 Composite cofactor 24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479 has 158 digits

c158

name 名前	Bob Backstrom
date 日付	July 18, 2024 20:37:08 UTC 2024 年 7 月 19 日 (金) 5 時 37 分 8 秒 (日本時間)
composite number 合成数	24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479<158>
prime factors 素因数	289316716970432174853508035850335468902167504691398963<54> 86307435726168737629806368223787578411790962725020409466652891870881744723716368152702632140633838701933<104>
factorization results 素因数分解の結果	Number: n N=24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479 ( 158 digits) SNFS difficulty: 207 digits. Divisors found: Sun Jul 14 22:00:01 2024 prp54 factor: 289316716970432174853508035850335468902167504691398963 Sun Jul 14 22:00:01 2024 prp104 factor: 86307435726168737629806368223787578411790962725020409466652891870881744723716368152702632140633838701933 Sun Jul 14 22:00:01 2024 elapsed time 04:14:40 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.038). Factorization parameters were as follows: # # N = 4x10^207+45x10^103-4 = 4(103)94(103) # n: 24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479 m: 10000000000000000000000000000000000 deg: 6 c6: 2000 c3: 225 c0: -2 skew: 0.32 # Murphy_E = 7.07e-12 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 14019479) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7432165 hash collisions in 24961581 relations (16178434 unique) Msieve: matrix is 2779243 x 2779468 (789.4 MB) Sieving start time: 2024/07/12 23:27:47 Sieving end time : 2024/07/14 17:43:20 Total sieving time: 42hrs 15min 33secs. Total relation processing time: 3hrs 58min 40sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 22sec. Prototype def-par.txt line would be: snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:47:30 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 30 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:09 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 9 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:32:53 UTC 2022 年 9 月 7 日 (水) 5 時 32 分 53 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:21 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 21 秒 (日本時間)
50	43e6	3792 / 6792	1792	Dmitry Domanov	November 21, 2022 21:14:42 UTC 2022 年 11 月 22 日 (火) 6 時 14 分 42 秒 (日本時間)
50	43e6	3792 / 6792	2000	Dmitry Domanov	December 31, 2022 09:09:20 UTC 2022 年 12 月 31 日 (土) 18 時 9 分 20 秒 (日本時間)

4×10²¹¹+45×10¹⁰⁵-49

c188

name 名前	Dmitry Domanov
date 日付	September 26, 2022 14:22:59 UTC 2022 年 9 月 26 日 (月) 23 時 22 分 59 秒 (日本時間)
composite number 合成数	66398183195709357833581597412840195680939656129465009103340859366707731729435988171388896652123582873194899872022907817345896965227649458566356616818991123680705630221100302287183466941801<188>
prime factors 素因数	79161404823456650735652098387555762297329691<44>
composite cofactor 合成数の残り	838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211<144>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:615742002 Step 1 took 78288ms Step 2 took 33365ms ********** Factor found in step 2: 79161404823456650735652098387555762297329691 Found prime factor of 44 digits: 79161404823456650735652098387555762297329691 Composite cofactor 838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211 has 144 digits

c144

name 名前	Erik Branger
date 日付	November 30, 2023 19:30:31 UTC 2023 年 12 月 1 日 (金) 4 時 30 分 31 秒 (日本時間)
composite number 合成数	838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211<144>
prime factors 素因数	31426124997105291483139122351599855602150204030300435222720471649<65> 26690202569528756048195557761265939500471282387268016538348283018151265771412139<80>
factorization results 素因数分解の結果	Number: 44944_105 N = 838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211 (144 digits) Divisors found: r1=31426124997105291483139122351599855602150204030300435222720471649 (pp65) r2=26690202569528756048195557761265939500471282387268016538348283018151265771412139 (pp80) Version: Msieve v. 1.52 (SVN unknown) Total time: 276.72 hours. Factorization parameters were as follows: # Murphy_E = 1.24e-11, selected by Dmitry Domanov n: 838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211 Y0: -14753400275653167056202540918 Y1: 2452606019975147 c0: -2093933844500037931364997144086422375 c1: 6165944090179981770362302176910 c2: -1168238383463627855661309 c3: -941452728978196594 c4: 13799378368 c5: 1200 skew: 7412863.47 type: gnfs # selected mechanically rlim: 23000000 alim: 23000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 24390260 Relations: 4356524 relations Pruned matrix : 2765005 x 2765234 Polynomial selection time: 0.00 hours. Total sieving time: 274.62 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.62 hours. time per square root: 0.34 hours. Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,23000000,23000000,28,28,56,56,2.6,2.6,100000 total time: 276.72 hours. Intel64 Family 6 Model 165 Stepping 5, GenuineIntel Windows-10-10.0.22631-SP0 processors: 16, speed: 3.79GHz
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:47:40 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 40 秒 (日本時間)
45	11e6	7680	1200	Dmitry Domanov	August 14, 2022 13:11:16 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 16 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:32:59 UTC 2022 年 9 月 7 日 (水) 5 時 32 分 59 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:28 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 28 秒 (日本時間)
			4480	Ignacio Santos	September 28, 2022 08:32:35 UTC 2022 年 9 月 28 日 (水) 17 時 32 分 35 秒 (日本時間)
50	43e6	6454		Ignacio Santos	December 8, 2022 14:37:30 UTC 2022 年 12 月 8 日 (木) 23 時 37 分 30 秒 (日本時間)

4×10²¹³+45×10¹⁰⁶-49

c153

composite cofactor 合成数の残り	579168946018956389599086051716898079273637806886836333821878185834626667486712201406878262338278353521311932298800719056773768614974621759851813344329343<153>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:47:47 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 47 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:23 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 23 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:07 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 7 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:36 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 36 秒 (日本時間)
50	43e6	2792 / 6792	1000	Dmitry Domanov	November 21, 2022 21:18:07 UTC 2022 年 11 月 22 日 (火) 6 時 18 分 7 秒 (日本時間)
50	43e6	2792 / 6792	1792	Dmitry Domanov	December 30, 2022 05:39:19 UTC 2022 年 12 月 30 日 (金) 14 時 39 分 19 秒 (日本時間)

4×10²¹⁵+45×10¹⁰⁷-49

c196

composite cofactor 合成数の残り	6476492311103978456805258459511405342673586379199558179061343275777556117928556187847859228926029018974021951841561912956852486325091852343411650198108906455276789397706126833525061300567216598097<196>

composite cofactor 合成数の残り

6476492311103978456805258459511405342673586379199558179061343275777556117928556187847859228926029018974021951841561912956852486325091852343411650198108906455276789397706126833525061300567216598097<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:47:53 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 53 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:30 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 30 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:14 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 14 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:42 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 42 秒 (日本時間)
50	43e6	3584 / 6792	1792	Dmitry Domanov	November 19, 2022 19:01:33 UTC 2022 年 11 月 20 日 (日) 4 時 1 分 33 秒 (日本時間)
50	43e6	3584 / 6792	1792	Dmitry Domanov	December 23, 2022 22:43:13 UTC 2022 年 12 月 24 日 (土) 7 時 43 分 13 秒 (日本時間)

4×10²¹⁷+45×10¹⁰⁸-49

c179

composite cofactor 合成数の残り	95718727392039764197287131329438503251791578792716112534600428781161437983876203455734426230144528318633174991319580281471507065032221256148608125984479621758141022710174617840513<179>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:48:01 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 1 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:36 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 36 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:20 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 20 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:50 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 50 秒 (日本時間)
50	43e6	3792 / 6792	1792	Dmitry Domanov	November 19, 2022 19:01:45 UTC 2022 年 11 月 20 日 (日) 4 時 1 分 45 秒 (日本時間)
50	43e6	3792 / 6792	2000	Dmitry Domanov	December 30, 2022 05:38:15 UTC 2022 年 12 月 30 日 (金) 14 時 38 分 15 秒 (日本時間)

4×10²²⁵+45×10¹¹²-49

c179

composite cofactor 合成数の残り	44490051859114486798512181835697728007555832662411670779300084344182597745302500458124401516970590425829853087143595747126685815680847371522529128792535122717031218262008036957477<179>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:48:08 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 8 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:42 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 42 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:28 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 28 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:43:58 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 58 秒 (日本時間)
50	43e6	3792 / 6792	1792	Dmitry Domanov	November 19, 2022 19:01:53 UTC 2022 年 11 月 20 日 (日) 4 時 1 分 53 秒 (日本時間)
50	43e6	3792 / 6792	2000	Dmitry Domanov	December 31, 2022 19:16:02 UTC 2023 年 1 月 1 日 (日) 4 時 16 分 2 秒 (日本時間)

4×10²²⁷+45×10¹¹³-49

c167

composite cofactor 合成数の残り	20972003529300457856851418116873562710560054133865869938388131267869143246225215634701547979443329323443109753931215374003000151203528041136642827963597268077965452529<167>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:48:16 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 16 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:49 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 49 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:35 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 35 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:44:05 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 5 秒 (日本時間)
50	43e6	3792 / 6792	1792	Dmitry Domanov	November 21, 2022 21:13:19 UTC 2022 年 11 月 22 日 (火) 6 時 13 分 19 秒 (日本時間)
50	43e6	3792 / 6792	2000	Dmitry Domanov	December 31, 2022 23:38:55 UTC 2023 年 1 月 1 日 (日) 8 時 38 分 55 秒 (日本時間)

4×10²³¹+45×10¹¹⁵-49

c157

name 名前	Ignacio Santos
date 日付	June 3, 2022 15:09:04 UTC 2022 年 6 月 4 日 (土) 0 時 9 分 4 秒 (日本時間)
composite number 合成数	8358499374640085847040331712229847503024261492671434882408987676809618532308254637792042695813378645287030707016312766131299025990180309030845497488304814809<157>
prime factors 素因数	379763864441595496384146515291660666299<39> 22009728037001143082062029083442612530488086200225632029387809753986787107901245035586932804756272329632452648111738491<119>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3173616078 Step 1 took 7140ms Step 2 took 3781ms ********** Factor found in step 2: 379763864441595496384146515291660666299 Found prime factor of 39 digits: 379763864441595496384146515291660666299 Prime cofactor 22009728037001143082062029083442612530488086200225632029387809753986787107901245035586932804756272329632452648111738491 has 119 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10²³³+45×10¹¹⁶-49

c170

name 名前	Dmitry Domanov
date 日付	January 3, 2023 08:21:01 UTC 2023 年 1 月 3 日 (火) 17 時 21 分 1 秒 (日本時間)
composite number 合成数	72919323195270324169151441722278769799514052917251695014630465405158858454792997520508727651637784538401879962172593942119442770541415570227618843127570355497646778433631<170>
prime factors 素因数	276191621103734307475973479451461582569062327<45> 264017144705062173125765965221135162986098920082681901894350515568816043527857735943051139686921818972320490387056980059468953<126>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:909603156 Step 1 took 64227ms Step 2 took 22086ms ********** Factor found in step 2: 276191621103734307475973479451461582569062327 Found prime factor of 45 digits: 276191621103734307475973479451461582569062327 Prime cofactor 264017144705062173125765965221135162986098920082681901894350515568816043527857735943051139686921818972320490387056980059468953 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:48:42 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 42 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:11:57 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 57 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:42 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 42 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:44:14 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 14 秒 (日本時間)
50	43e6	3792 / 6792	1792	Dmitry Domanov	November 19, 2022 19:02:00 UTC 2022 年 11 月 20 日 (日) 4 時 2 分 0 秒 (日本時間)
50	43e6	3792 / 6792	2000	Dmitry Domanov	January 1, 2023 16:07:50 UTC 2023 年 1 月 2 日 (月) 1 時 7 分 50 秒 (日本時間)

4×10²³⁵+45×10¹¹⁷-49

c194

composite cofactor 合成数の残り	61335568279284183864850303516430733545081678471783915849195176976572514968489610326579262726758628165046033952129822763849623097491790761483669092687455385828602310126281329443304694919809173531<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:48:50 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 50 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:12:04 UTC 2022 年 8 月 14 日 (日) 22 時 12 分 4 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:50 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 50 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:44:21 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 21 秒 (日本時間)
50	43e6	3584 / 6792	1792	Dmitry Domanov	November 19, 2022 19:02:10 UTC 2022 年 11 月 20 日 (日) 4 時 2 分 10 秒 (日本時間)
50	43e6	3584 / 6792	1792	Dmitry Domanov	December 23, 2022 22:43:23 UTC 2022 年 12 月 24 日 (土) 7 時 43 分 23 秒 (日本時間)

4×10²³⁷+45×10¹¹⁸-49

c229

name 名前	NFS@home + Dmitry Domanov
date 日付	February 16, 2023 16:26:59 UTC 2023 年 2 月 17 日 (金) 1 時 26 分 59 秒 (日本時間)
composite number 合成数	1165906782840276776336720491907544203055920259941528865433269504250827924688852970332267215346129573006006496411607664062237279302051077319844687272280552363681703843300831897924282872569479454439057920130518880529465505670216833<229>
prime factors 素因数	182395240830864704979253968039712025224250122294775859413994933839710543987917566837126969451227<96> 6392199585522208548552589377681688057553132298252750414999093052503811623773232273979357716101664488023518826519742927542573086893779<133>
factorization results 素因数分解の結果	Wed Feb 15 13:16:00 2023 Wed Feb 15 13:16:00 2023 Wed Feb 15 13:16:00 2023 Msieve v. 1.54 (SVN unknown) Wed Feb 15 13:16:00 2023 random seeds: a997238c b3f78a77 Wed Feb 15 13:16:00 2023 factoring 1165906782840276776336720491907544203055920259941528865433269504250827924688852970332267215346129573006006496411607664062237279302051077319844687272280552363681703843300831897924282872569479454439057920130518880529465505670216833 (229 digits) Wed Feb 15 13:16:01 2023 searching for 15-digit factors Wed Feb 15 13:16:02 2023 commencing number field sieve (229-digit input) Wed Feb 15 13:16:02 2023 R0: -1000000000000000000000000000000000000000 Wed Feb 15 13:16:02 2023 R1: 1 Wed Feb 15 13:16:02 2023 A0: -2 Wed Feb 15 13:16:02 2023 A1: 0 Wed Feb 15 13:16:02 2023 A2: 0 Wed Feb 15 13:16:02 2023 A3: 225 Wed Feb 15 13:16:02 2023 A4: 0 Wed Feb 15 13:16:02 2023 A5: 0 Wed Feb 15 13:16:02 2023 A6: 2000 Wed Feb 15 13:16:02 2023 skew 1.00, size 1.082e-11, alpha -1.193, combined = 6.532e-13 rroots = 2 Wed Feb 15 13:16:02 2023 Wed Feb 15 13:16:02 2023 commencing relation filtering Wed Feb 15 13:16:02 2023 setting target matrix density to 124.0 Wed Feb 15 13:16:02 2023 estimated available RAM is 15536.6 MB Wed Feb 15 13:16:02 2023 commencing duplicate removal, pass 1 Wed Feb 15 13:16:13 2023 error -9 reading relation 2701881 Wed Feb 15 13:17:47 2023 error -1 reading relation 26368293 Wed Feb 15 13:17:51 2023 error -5 reading relation 27351036 Wed Feb 15 13:18:06 2023 error -9 reading relation 31165025 Wed Feb 15 13:18:30 2023 error -5 reading relation 37575349 Wed Feb 15 13:18:56 2023 error -9 reading relation 44383630 Wed Feb 15 13:19:03 2023 error -9 reading relation 46110506 Wed Feb 15 13:19:12 2023 error -5 reading relation 48593704 Wed Feb 15 13:19:12 2023 error -15 reading relation 48663950 Wed Feb 15 13:19:15 2023 error -9 reading relation 49362899 Wed Feb 15 13:19:15 2023 error -9 reading relation 49365053 Wed Feb 15 13:19:22 2023 error -9 reading relation 51320253 Wed Feb 15 13:19:22 2023 error -5 reading relation 51322238 Wed Feb 15 13:19:23 2023 error -1 reading relation 51396251 Wed Feb 15 13:19:28 2023 error -15 reading relation 52647886 Wed Feb 15 13:19:33 2023 error -9 reading relation 54049236 Wed Feb 15 13:19:42 2023 error -15 reading relation 56381773 Wed Feb 15 13:19:59 2023 error -15 reading relation 60502374 Wed Feb 15 13:20:14 2023 error -15 reading relation 64172643 Wed Feb 15 13:20:15 2023 error -15 reading relation 64497673 Wed Feb 15 13:20:15 2023 error -9 reading relation 64508424 Wed Feb 15 13:20:22 2023 error -9 reading relation 66345101 Wed Feb 15 13:20:26 2023 error -9 reading relation 67250276 Wed Feb 15 13:20:38 2023 error -9 reading relation 70277911 Wed Feb 15 13:20:44 2023 error -9 reading relation 71908480 Wed Feb 15 13:21:18 2023 error -5 reading relation 80165842 Wed Feb 15 13:21:25 2023 error -9 reading relation 82137615 Wed Feb 15 13:21:50 2023 error -9 reading relation 88347379 Wed Feb 15 13:22:03 2023 error -9 reading relation 91589200 Wed Feb 15 13:22:03 2023 error -15 reading relation 91591217 Wed Feb 15 13:24:05 2023 error -5 reading relation 121613732 Wed Feb 15 13:24:06 2023 error -15 reading relation 122024944 Wed Feb 15 13:24:22 2023 error -15 reading relation 125871445 Wed Feb 15 13:24:37 2023 error -1 reading relation 129690046 Wed Feb 15 13:24:56 2023 error -9 reading relation 134514352 Wed Feb 15 13:25:11 2023 error -9 reading relation 138295992 Wed Feb 15 13:25:35 2023 error -9 reading relation 144576784 Wed Feb 15 13:25:38 2023 error -1 reading relation 145433038 Wed Feb 15 13:25:42 2023 error -5 reading relation 146410013 Wed Feb 15 13:25:55 2023 error -15 reading relation 149652703 Wed Feb 15 13:25:56 2023 error -9 reading relation 150031669 Wed Feb 15 13:25:56 2023 error -1 reading relation 150062876 Wed Feb 15 13:26:01 2023 error -9 reading relation 151282408 Wed Feb 15 13:26:10 2023 error -15 reading relation 153586517 Wed Feb 15 13:26:15 2023 error -15 reading relation 155023824 Wed Feb 15 13:26:16 2023 error -1 reading relation 155078226 Wed Feb 15 13:26:16 2023 error -9 reading relation 155128697 Wed Feb 15 13:26:21 2023 error -9 reading relation 156487246 Wed Feb 15 13:26:21 2023 error -9 reading relation 156488656 Wed Feb 15 13:26:21 2023 error -9 reading relation 156490743 Wed Feb 15 13:26:24 2023 error -1 reading relation 157159499 Wed Feb 15 13:26:27 2023 error -9 reading relation 157981749 Wed Feb 15 13:26:45 2023 error -1 reading relation 162754931 Wed Feb 15 13:26:47 2023 error -15 reading relation 163356103 Wed Feb 15 13:26:53 2023 error -9 reading relation 164875768 Wed Feb 15 13:26:54 2023 error -5 reading relation 165155383 Wed Feb 15 13:27:05 2023 error -9 reading relation 167966522 Wed Feb 15 13:27:06 2023 error -9 reading relation 168097228 Wed Feb 15 13:27:06 2023 error -15 reading relation 168115190 Wed Feb 15 13:27:10 2023 error -1 reading relation 169196146 Wed Feb 15 13:27:17 2023 error -9 reading relation 171070019 Wed Feb 15 13:27:18 2023 error -5 reading relation 171194063 Wed Feb 15 13:27:34 2023 error -9 reading relation 175450850 Wed Feb 15 13:27:34 2023 error -15 reading relation 175469698 Wed Feb 15 13:27:44 2023 error -9 reading relation 178051576 Wed Feb 15 13:27:45 2023 error -9 reading relation 178224136 Wed Feb 15 13:27:50 2023 error -9 reading relation 179585636 Wed Feb 15 13:27:59 2023 error -15 reading relation 181649073 Wed Feb 15 13:28:00 2023 error -9 reading relation 182098393 Wed Feb 15 13:28:04 2023 error -5 reading relation 182987642 Wed Feb 15 13:28:12 2023 error -15 reading relation 184998671 Wed Feb 15 13:28:26 2023 error -9 reading relation 188201361 Wed Feb 15 13:28:26 2023 error -9 reading relation 188232077 Wed Feb 15 13:28:32 2023 error -9 reading relation 189611004 Wed Feb 15 13:28:32 2023 error -1 reading relation 189661136 Wed Feb 15 13:28:54 2023 error -5 reading relation 196831099 Wed Feb 15 13:28:54 2023 error -9 reading relation 196988155 Wed Feb 15 13:28:55 2023 error -9 reading relation 197234961 Wed Feb 15 13:28:55 2023 error -9 reading relation 197266729 Wed Feb 15 13:28:56 2023 error -9 reading relation 197388534 Wed Feb 15 13:28:56 2023 error -15 reading relation 197712797 Wed Feb 15 13:28:57 2023 error -15 reading relation 197771847 Wed Feb 15 13:28:57 2023 error -9 reading relation 198068094 Wed Feb 15 13:28:58 2023 error -5 reading relation 198147469 Wed Feb 15 13:28:58 2023 error -9 reading relation 198190302 Wed Feb 15 13:29:01 2023 error -15 reading relation 199210379 Wed Feb 15 13:29:04 2023 error -9 reading relation 200331633 Wed Feb 15 13:29:04 2023 error -9 reading relation 200350830 Wed Feb 15 13:29:14 2023 error -15 reading relation 203649598 Wed Feb 15 13:29:16 2023 error -15 reading relation 204315935 Wed Feb 15 13:29:29 2023 skipped 195 relations with b > 2^32 Wed Feb 15 13:29:29 2023 skipped 52 relations with composite factors Wed Feb 15 13:29:29 2023 found 43834343 hash collisions in 208458762 relations Wed Feb 15 13:29:41 2023 commencing duplicate removal, pass 2 Wed Feb 15 13:35:27 2023 found 46264128 duplicates and 162194634 unique relations Wed Feb 15 13:35:27 2023 memory use: 1321.5 MB Wed Feb 15 13:35:27 2023 reading ideals above 107937792 Wed Feb 15 13:35:27 2023 commencing singleton removal, initial pass Wed Feb 15 13:43:59 2023 memory use: 3012.0 MB Wed Feb 15 13:44:00 2023 reading all ideals from disk Wed Feb 15 13:44:15 2023 memory use: 4095.1 MB Wed Feb 15 13:44:28 2023 commencing in-memory singleton removal Wed Feb 15 13:44:37 2023 begin with 162194634 relations and 122560153 unique ideals Wed Feb 15 13:44:54 2023 reduce to 118764622 relations and 75822552 ideals in 11 passes Wed Feb 15 13:44:54 2023 max relations containing the same ideal: 46 Wed Feb 15 13:44:59 2023 reading ideals above 720000 Wed Feb 15 13:44:59 2023 commencing singleton removal, initial pass Wed Feb 15 14:01:27 2023 memory use: 2756.0 MB Wed Feb 15 14:01:28 2023 reading all ideals from disk Wed Feb 15 14:02:03 2023 memory use: 5484.0 MB Wed Feb 15 14:02:24 2023 keeping 87612683 ideals with weight <= 200, target excess is 590800 Wed Feb 15 14:02:48 2023 commencing in-memory singleton removal Wed Feb 15 14:03:01 2023 begin with 118764622 relations and 87612683 unique ideals Wed Feb 15 14:03:09 2023 reduce to 118764609 relations and 87612670 ideals in 3 passes Wed Feb 15 14:03:09 2023 max relations containing the same ideal: 200 Wed Feb 15 14:04:03 2023 removing 8325551 relations and 6325551 ideals in 2000000 cliques Wed Feb 15 14:04:10 2023 commencing in-memory singleton removal Wed Feb 15 14:04:20 2023 begin with 110439058 relations and 87612670 unique ideals Wed Feb 15 14:04:34 2023 reduce to 109970602 relations and 80808516 ideals in 6 passes Wed Feb 15 14:04:34 2023 max relations containing the same ideal: 198 Wed Feb 15 14:05:26 2023 removing 6583089 relations and 4583089 ideals in 2000000 cliques Wed Feb 15 14:05:32 2023 commencing in-memory singleton removal Wed Feb 15 14:05:41 2023 begin with 103387513 relations and 80808516 unique ideals Wed Feb 15 14:05:54 2023 reduce to 103067336 relations and 75899134 ideals in 6 passes Wed Feb 15 14:05:54 2023 max relations containing the same ideal: 192 Wed Feb 15 14:06:42 2023 removing 6115421 relations and 4115421 ideals in 2000000 cliques Wed Feb 15 14:06:48 2023 commencing in-memory singleton removal Wed Feb 15 14:06:59 2023 begin with 96951915 relations and 75899134 unique ideals Wed Feb 15 14:07:13 2023 reduce to 96671764 relations and 71498312 ideals in 7 passes Wed Feb 15 14:07:13 2023 max relations containing the same ideal: 186 Wed Feb 15 14:07:57 2023 removing 5870859 relations and 3870859 ideals in 2000000 cliques Wed Feb 15 14:08:03 2023 commencing in-memory singleton removal Wed Feb 15 14:08:11 2023 begin with 90800905 relations and 71498312 unique ideals Wed Feb 15 14:08:22 2023 reduce to 90537747 relations and 67359121 ideals in 6 passes Wed Feb 15 14:08:22 2023 max relations containing the same ideal: 179 Wed Feb 15 14:09:02 2023 removing 5722005 relations and 3722005 ideals in 2000000 cliques Wed Feb 15 14:09:07 2023 commencing in-memory singleton removal Wed Feb 15 14:09:16 2023 begin with 84815742 relations and 67359121 unique ideals Wed Feb 15 14:09:29 2023 reduce to 84559883 relations and 63376096 ideals in 6 passes Wed Feb 15 14:09:29 2023 max relations containing the same ideal: 172 Wed Feb 15 14:10:09 2023 removing 5619210 relations and 3619210 ideals in 2000000 cliques Wed Feb 15 14:10:15 2023 commencing in-memory singleton removal Wed Feb 15 14:10:21 2023 begin with 78940673 relations and 63376096 unique ideals Wed Feb 15 14:10:32 2023 reduce to 78682822 relations and 59493442 ideals in 7 passes Wed Feb 15 14:10:32 2023 max relations containing the same ideal: 164 Wed Feb 15 14:11:06 2023 removing 5550109 relations and 3550109 ideals in 2000000 cliques Wed Feb 15 14:11:11 2023 commencing in-memory singleton removal Wed Feb 15 14:11:17 2023 begin with 73132713 relations and 59493442 unique ideals Wed Feb 15 14:11:28 2023 reduce to 72869098 relations and 55673766 ideals in 6 passes Wed Feb 15 14:11:28 2023 max relations containing the same ideal: 158 Wed Feb 15 14:12:01 2023 removing 5503057 relations and 3503057 ideals in 2000000 cliques Wed Feb 15 14:12:06 2023 commencing in-memory singleton removal Wed Feb 15 14:12:12 2023 begin with 67366041 relations and 55673766 unique ideals Wed Feb 15 14:12:20 2023 reduce to 67091485 relations and 51889549 ideals in 6 passes Wed Feb 15 14:12:20 2023 max relations containing the same ideal: 148 Wed Feb 15 14:12:52 2023 removing 5473265 relations and 3473265 ideals in 2000000 cliques Wed Feb 15 14:12:56 2023 commencing in-memory singleton removal Wed Feb 15 14:13:01 2023 begin with 61618220 relations and 51889549 unique ideals Wed Feb 15 14:13:09 2023 reduce to 61327868 relations and 48118280 ideals in 6 passes Wed Feb 15 14:13:09 2023 max relations containing the same ideal: 141 Wed Feb 15 14:13:37 2023 removing 5464524 relations and 3464524 ideals in 2000000 cliques Wed Feb 15 14:13:42 2023 commencing in-memory singleton removal Wed Feb 15 14:13:46 2023 begin with 55863344 relations and 48118280 unique ideals Wed Feb 15 14:13:55 2023 reduce to 55550743 relations and 44332377 ideals in 6 passes Wed Feb 15 14:13:55 2023 max relations containing the same ideal: 133 Wed Feb 15 14:14:18 2023 removing 5467632 relations and 3467632 ideals in 2000000 cliques Wed Feb 15 14:14:22 2023 commencing in-memory singleton removal Wed Feb 15 14:14:28 2023 begin with 50083111 relations and 44332377 unique ideals Wed Feb 15 14:14:35 2023 reduce to 49740518 relations and 40511564 ideals in 6 passes Wed Feb 15 14:14:35 2023 max relations containing the same ideal: 121 Wed Feb 15 14:14:55 2023 removing 5486908 relations and 3486908 ideals in 2000000 cliques Wed Feb 15 14:14:59 2023 commencing in-memory singleton removal Wed Feb 15 14:15:02 2023 begin with 44253610 relations and 40511564 unique ideals Wed Feb 15 14:15:10 2023 reduce to 43870565 relations and 36628632 ideals in 6 passes Wed Feb 15 14:15:10 2023 max relations containing the same ideal: 112 Wed Feb 15 14:15:31 2023 removing 5519594 relations and 3519594 ideals in 2000000 cliques Wed Feb 15 14:15:35 2023 commencing in-memory singleton removal Wed Feb 15 14:15:38 2023 begin with 38350971 relations and 36628632 unique ideals Wed Feb 15 14:15:46 2023 reduce to 37913032 relations and 32654060 ideals in 8 passes Wed Feb 15 14:15:46 2023 max relations containing the same ideal: 103 Wed Feb 15 14:16:05 2023 removing 5570147 relations and 3570147 ideals in 2000000 cliques Wed Feb 15 14:16:08 2023 commencing in-memory singleton removal Wed Feb 15 14:16:12 2023 begin with 32342885 relations and 32654060 unique ideals Wed Feb 15 14:16:19 2023 reduce to 31824035 relations and 28541891 ideals in 7 passes Wed Feb 15 14:16:19 2023 max relations containing the same ideal: 90 Wed Feb 15 14:16:34 2023 removing 5640249 relations and 3640249 ideals in 2000000 cliques Wed Feb 15 14:16:37 2023 commencing in-memory singleton removal Wed Feb 15 14:16:40 2023 begin with 26183786 relations and 28541891 unique ideals Wed Feb 15 14:16:45 2023 reduce to 25533337 relations and 24216741 ideals in 7 passes Wed Feb 15 14:16:45 2023 max relations containing the same ideal: 76 Wed Feb 15 14:16:56 2023 removing 2232943 relations and 1601676 ideals in 631267 cliques Wed Feb 15 14:16:58 2023 commencing in-memory singleton removal Wed Feb 15 14:17:00 2023 begin with 23300394 relations and 24216741 unique ideals Wed Feb 15 14:17:04 2023 reduce to 23135665 relations and 22446607 ideals in 7 passes Wed Feb 15 14:17:04 2023 max relations containing the same ideal: 70 Wed Feb 15 14:17:19 2023 relations with 0 large ideals: 22539 Wed Feb 15 14:17:19 2023 relations with 1 large ideals: 10187 Wed Feb 15 14:17:19 2023 relations with 2 large ideals: 133286 Wed Feb 15 14:17:19 2023 relations with 3 large ideals: 818011 Wed Feb 15 14:17:19 2023 relations with 4 large ideals: 2679571 Wed Feb 15 14:17:19 2023 relations with 5 large ideals: 5182410 Wed Feb 15 14:17:19 2023 relations with 6 large ideals: 6226294 Wed Feb 15 14:17:19 2023 relations with 7+ large ideals: 8063367 Wed Feb 15 14:17:19 2023 commencing 2-way merge Wed Feb 15 14:17:39 2023 reduce to 15724079 relation sets and 15035021 unique ideals Wed Feb 15 14:17:39 2023 commencing full merge Wed Feb 15 14:28:09 2023 memory use: 2011.4 MB Wed Feb 15 14:28:12 2023 found 6950749 cycles, need 6933221 Wed Feb 15 14:28:16 2023 weight of 6933221 cycles is about 859873420 (124.02/cycle) Wed Feb 15 14:28:16 2023 distribution of cycle lengths: Wed Feb 15 14:28:16 2023 1 relations: 198318 Wed Feb 15 14:28:16 2023 2 relations: 341447 Wed Feb 15 14:28:16 2023 3 relations: 432927 Wed Feb 15 14:28:16 2023 4 relations: 464069 Wed Feb 15 14:28:16 2023 5 relations: 495469 Wed Feb 15 14:28:16 2023 6 relations: 503542 Wed Feb 15 14:28:16 2023 7 relations: 501765 Wed Feb 15 14:28:16 2023 8 relations: 487336 Wed Feb 15 14:28:16 2023 9 relations: 464761 Wed Feb 15 14:28:16 2023 10+ relations: 3043587 Wed Feb 15 14:28:16 2023 heaviest cycle: 28 relations Wed Feb 15 14:28:19 2023 commencing cycle optimization Wed Feb 15 14:28:45 2023 start with 65752273 relations Wed Feb 15 14:33:20 2023 pruned 3555489 relations Wed Feb 15 14:33:20 2023 memory use: 1637.5 MB Wed Feb 15 14:33:20 2023 distribution of cycle lengths: Wed Feb 15 14:33:20 2023 1 relations: 198318 Wed Feb 15 14:33:20 2023 2 relations: 350654 Wed Feb 15 14:33:20 2023 3 relations: 452533 Wed Feb 15 14:33:20 2023 4 relations: 486730 Wed Feb 15 14:33:20 2023 5 relations: 524262 Wed Feb 15 14:33:20 2023 6 relations: 533224 Wed Feb 15 14:33:20 2023 7 relations: 534148 Wed Feb 15 14:33:20 2023 8 relations: 517899 Wed Feb 15 14:33:20 2023 9 relations: 493298 Wed Feb 15 14:33:20 2023 10+ relations: 2842155 Wed Feb 15 14:33:20 2023 heaviest cycle: 28 relations Wed Feb 15 14:33:40 2023 RelProcTime: 4658 Wed Feb 15 14:33:40 2023 elapsed time 01:17:40 Wed Feb 15 14:35:19 2023 Wed Feb 15 14:35:19 2023 Wed Feb 15 14:35:19 2023 Msieve v. 1.54 (SVN unknown) Wed Feb 15 14:35:19 2023 random seeds: d56a5074 b14fa361 Wed Feb 15 14:35:19 2023 factoring 1165906782840276776336720491907544203055920259941528865433269504250827924688852970332267215346129573006006496411607664062237279302051077319844687272280552363681703843300831897924282872569479454439057920130518880529465505670216833 (229 digits) Wed Feb 15 14:35:20 2023 searching for 15-digit factors Wed Feb 15 14:35:21 2023 commencing number field sieve (229-digit input) Wed Feb 15 14:35:21 2023 R0: -1000000000000000000000000000000000000000 Wed Feb 15 14:35:21 2023 R1: 1 Wed Feb 15 14:35:21 2023 A0: -2 Wed Feb 15 14:35:21 2023 A1: 0 Wed Feb 15 14:35:21 2023 A2: 0 Wed Feb 15 14:35:21 2023 A3: 225 Wed Feb 15 14:35:21 2023 A4: 0 Wed Feb 15 14:35:21 2023 A5: 0 Wed Feb 15 14:35:21 2023 A6: 2000 Wed Feb 15 14:35:21 2023 skew 1.00, size 1.082e-11, alpha -1.193, combined = 6.532e-13 rroots = 2 Wed Feb 15 14:35:21 2023 Wed Feb 15 14:35:21 2023 commencing linear algebra Wed Feb 15 14:35:21 2023 using VBITS=256 Wed Feb 15 14:35:23 2023 read 6933221 cycles Wed Feb 15 14:35:50 2023 cycles contain 22795217 unique relations Wed Feb 15 14:41:22 2023 read 22795217 relations Wed Feb 15 14:41:29 2023 using 20 quadratic characters above 4294917295 Wed Feb 15 14:41:45 2023 building initial matrix Wed Feb 15 14:52:03 2023 memory use: 3042.8 MB Wed Feb 15 14:52:11 2023 read 6933221 cycles Wed Feb 15 14:52:12 2023 matrix is 6933044 x 6933221 (3316.5 MB) with weight 972980325 (140.34/col) Wed Feb 15 14:52:12 2023 sparse part has weight 793125025 (114.39/col) Wed Feb 15 14:54:37 2023 filtering completed in 2 passes Wed Feb 15 14:54:39 2023 matrix is 6932966 x 6933141 (3316.5 MB) with weight 972977233 (140.34/col) Wed Feb 15 14:54:39 2023 sparse part has weight 793124061 (114.40/col) Wed Feb 15 14:55:26 2023 matrix starts at (0, 0) Wed Feb 15 14:55:28 2023 matrix is 6932966 x 6933141 (3316.5 MB) with weight 972977233 (140.34/col) Wed Feb 15 14:55:28 2023 sparse part has weight 793124061 (114.40/col) Wed Feb 15 14:55:28 2023 saving the first 240 matrix rows for later Wed Feb 15 14:55:31 2023 matrix includes 256 packed rows Wed Feb 15 14:55:35 2023 matrix is 6932726 x 6933141 (3054.8 MB) with weight 727259833 (104.90/col) Wed Feb 15 14:55:35 2023 sparse part has weight 689879642 (99.50/col) Wed Feb 15 14:55:35 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB Wed Feb 15 14:56:07 2023 commencing Lanczos iteration (8 threads) Wed Feb 15 14:56:07 2023 memory use: 4154.1 MB Wed Feb 15 15:01:59 2023 linear algebra at 0.4%, ETA 21h46m Wed Feb 15 15:10:43 2023 checking every 10000 dimensions, checkpointing every 320000 dimensions Thu Feb 16 11:54:51 2023 lanczos halted after 27163 iterations (dim = 6932723) Thu Feb 16 11:55:35 2023 recovered 32 nontrivial dependencies Thu Feb 16 11:55:35 2023 BLanczosTime: 76814 Thu Feb 16 11:55:35 2023 Thu Feb 16 11:55:35 2023 commencing square root phase Thu Feb 16 11:55:35 2023 reading relations for dependency 1 Thu Feb 16 11:55:37 2023 read 3466316 cycles Thu Feb 16 11:55:49 2023 cycles contain 11394492 unique relations Thu Feb 16 12:00:27 2023 read 11394492 relations Thu Feb 16 12:01:21 2023 multiplying 11394492 relations Thu Feb 16 12:07:37 2023 multiply complete, coefficients have about 400.14 million bits Thu Feb 16 12:07:38 2023 initial square root is modulo 15126281 Thu Feb 16 12:10:44 2023 sqrtTime: 909 Thu Feb 16 12:10:44 2023 p96 factor: 182395240830864704979253968039712025224250122294775859413994933839710543987917566837126969451227 Thu Feb 16 12:10:44 2023 p133 factor: 6392199585522208548552589377681688057553132298252750414999093052503811623773232273979357716101664488023518826519742927542573086893779 Thu Feb 16 12:10:44 2023 elapsed time 21:35:25

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:54:27 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 27 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:05 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 5 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:09:32 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 32 秒 (日本時間)
50	43e6	3584 / 3782	1792	Dmitry Domanov	November 2, 2022 16:14:13 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 13 秒 (日本時間)
50	43e6	3584 / 3782	1792	Dmitry Domanov	December 15, 2022 21:32:29 UTC 2022 年 12 月 16 日 (金) 6 時 32 分 29 秒 (日本時間)
55	11e7	1200 / 16251		Dmitry Domanov	February 2, 2023 04:59:11 UTC 2023 年 2 月 2 日 (木) 13 時 59 分 11 秒 (日本時間)

4×10²³⁹+45×10¹¹⁹-49

c221

name 名前	NFS@home + Dmitry Domanov
date 日付	March 10, 2023 21:36:22 UTC 2023 年 3 月 11 日 (土) 6 時 36 分 22 秒 (日本時間)
composite number 合成数	66520579461502659587948447000498182941248448017684605590388521298914062322780983616796581023221862823923546869301262942560597978956247339937936045181588923049807755404343846377962128951577637029909930762847836539066316453<221>
prime factors 素因数	4047628077402729453461660520507795138162295794389930468129012325065451464628021707106913559316869<97> 16434459438819635087785459913229329584681806418847112381105855786867640796871973391448998577115021331737311569637093832536737<125>
factorization results 素因数分解の結果	Thu Mar 9 20:54:01 2023 Thu Mar 9 20:54:01 2023 Thu Mar 9 20:54:01 2023 Msieve v. 1.54 (SVN unknown) Thu Mar 9 20:54:01 2023 random seeds: ea67362a dc452df5 Thu Mar 9 20:54:01 2023 factoring 66520579461502659587948447000498182941248448017684605590388521298914062322780983616796581023221862823923546869301262942560597978956247339937936045181588923049807755404343846377962128951577637029909930762847836539066316453 (221 digits) Thu Mar 9 20:54:03 2023 searching for 15-digit factors Thu Mar 9 20:54:03 2023 commencing number field sieve (221-digit input) Thu Mar 9 20:54:03 2023 R0: -5000000000000000000000000000000000000000 Thu Mar 9 20:54:03 2023 R1: 1 Thu Mar 9 20:54:03 2023 A0: -5 Thu Mar 9 20:54:03 2023 A1: 0 Thu Mar 9 20:54:03 2023 A2: 0 Thu Mar 9 20:54:03 2023 A3: 45 Thu Mar 9 20:54:03 2023 A4: 0 Thu Mar 9 20:54:03 2023 A5: 0 Thu Mar 9 20:54:03 2023 A6: 32 Thu Mar 9 20:54:03 2023 skew 1.00, size 9.318e-12, alpha -0.247, combined = 6.045e-13 rroots = 2 Thu Mar 9 20:54:03 2023 Thu Mar 9 20:54:03 2023 commencing relation filtering Thu Mar 9 20:54:03 2023 setting target matrix density to 130.0 Thu Mar 9 20:54:03 2023 estimated available RAM is 15536.6 MB Thu Mar 9 20:54:03 2023 commencing duplicate removal, pass 1 Thu Mar 9 20:54:30 2023 error -1 reading relation 6441073 Thu Mar 9 20:54:30 2023 error -9 reading relation 6474714 Thu Mar 9 20:55:13 2023 error -9 reading relation 24209682 Thu Mar 9 20:55:40 2023 error -1 reading relation 35632970 Thu Mar 9 20:56:10 2023 error -9 reading relation 47722576 Thu Mar 9 20:56:26 2023 error -1 reading relation 54397091 Thu Mar 9 20:56:27 2023 error -1 reading relation 54828823 Thu Mar 9 20:56:47 2023 error -15 reading relation 63098953 Thu Mar 9 20:56:51 2023 error -5 reading relation 64870400 Thu Mar 9 20:57:20 2023 error -9 reading relation 76724002 Thu Mar 9 20:57:49 2023 error -9 reading relation 88664003 Thu Mar 9 20:57:51 2023 error -5 reading relation 89490701 Thu Mar 9 20:57:53 2023 error -9 reading relation 90502642 Thu Mar 9 20:57:53 2023 error -5 reading relation 90522186 Thu Mar 9 20:58:00 2023 error -15 reading relation 93201072 Thu Mar 9 20:58:14 2023 error -1 reading relation 99198242 Thu Mar 9 20:58:14 2023 error -1 reading relation 99208016 Thu Mar 9 20:58:18 2023 error -5 reading relation 100875276 Thu Mar 9 20:58:28 2023 error -9 reading relation 104669110 Thu Mar 9 20:58:28 2023 error -15 reading relation 104699490 Thu Mar 9 20:58:37 2023 error -9 reading relation 108508583 Thu Mar 9 20:58:37 2023 error -5 reading relation 108588232 Thu Mar 9 20:58:43 2023 error -9 reading relation 111052499 Thu Mar 9 20:58:48 2023 error -9 reading relation 113277438 Thu Mar 9 20:59:05 2023 error -1 reading relation 120319484 Thu Mar 9 20:59:16 2023 error -1 reading relation 124884879 Thu Mar 9 20:59:18 2023 error -9 reading relation 125584120 Thu Mar 9 20:59:22 2023 error -9 reading relation 127280199 Thu Mar 9 20:59:23 2023 error -9 reading relation 127527845 Thu Mar 9 20:59:33 2023 error -9 reading relation 131533182 Thu Mar 9 20:59:37 2023 error -9 reading relation 133352701 Thu Mar 9 20:59:44 2023 error -9 reading relation 136018127 Thu Mar 9 20:59:56 2023 error -9 reading relation 141011470 Thu Mar 9 20:59:56 2023 error -9 reading relation 141283155 Thu Mar 9 20:59:57 2023 error -9 reading relation 141766089 Thu Mar 9 20:59:59 2023 error -15 reading relation 142200335 Thu Mar 9 20:59:59 2023 error -1 reading relation 142223532 Thu Mar 9 21:00:00 2023 error -5 reading relation 142673194 Thu Mar 9 21:00:03 2023 error -15 reading relation 144032457 Thu Mar 9 21:00:05 2023 error -5 reading relation 144869635 Thu Mar 9 21:00:15 2023 error -15 reading relation 149091845 Thu Mar 9 21:00:23 2023 error -15 reading relation 152207322 Thu Mar 9 21:00:31 2023 error -9 reading relation 155501947 Thu Mar 9 21:00:31 2023 error -15 reading relation 155507412 Thu Mar 9 21:00:48 2023 error -5 reading relation 162808286 Thu Mar 9 21:00:59 2023 error -9 reading relation 167072662 Thu Mar 9 21:01:02 2023 error -1 reading relation 168497000 Thu Mar 9 21:01:02 2023 error -5 reading relation 168501390 Thu Mar 9 21:01:02 2023 error -9 reading relation 168510125 Thu Mar 9 21:01:07 2023 error -15 reading relation 170342389 Thu Mar 9 21:01:15 2023 error -9 reading relation 173800949 Thu Mar 9 21:01:21 2023 error -9 reading relation 176418071 Thu Mar 9 21:01:39 2023 error -1 reading relation 183732332 Thu Mar 9 21:01:39 2023 error -15 reading relation 183732524 Thu Mar 9 21:01:39 2023 error -15 reading relation 183732981 Thu Mar 9 21:01:40 2023 error -15 reading relation 184266553 Thu Mar 9 21:01:47 2023 error -15 reading relation 186981128 Thu Mar 9 21:02:01 2023 error -9 reading relation 192984647 Thu Mar 9 21:02:27 2023 error -9 reading relation 203690863 Thu Mar 9 21:02:30 2023 error -15 reading relation 205032113 Thu Mar 9 21:02:31 2023 error -15 reading relation 205095421 Thu Mar 9 21:02:31 2023 error -15 reading relation 205381798 Thu Mar 9 21:02:31 2023 error -9 reading relation 205407123 Thu Mar 9 21:02:31 2023 error -15 reading relation 205435339 Thu Mar 9 21:02:43 2023 error -9 reading relation 210289103 Thu Mar 9 21:02:47 2023 error -15 reading relation 211727005 Thu Mar 9 21:02:47 2023 error -9 reading relation 212039200 Thu Mar 9 21:02:54 2023 skipped 74 relations with b > 2^32 Thu Mar 9 21:02:54 2023 skipped 27 relations with composite factors Thu Mar 9 21:02:54 2023 found 46927981 hash collisions in 214795824 relations Thu Mar 9 21:03:16 2023 added 405986 free relations Thu Mar 9 21:03:16 2023 commencing duplicate removal, pass 2 Thu Mar 9 21:10:05 2023 found 50296425 duplicates and 164905385 unique relations Thu Mar 9 21:10:05 2023 memory use: 1321.5 MB Thu Mar 9 21:10:05 2023 reading ideals above 115933184 Thu Mar 9 21:10:05 2023 commencing singleton removal, initial pass Thu Mar 9 21:28:43 2023 memory use: 3012.0 MB Thu Mar 9 21:28:44 2023 reading all ideals from disk Thu Mar 9 21:29:00 2023 memory use: 4116.9 MB Thu Mar 9 21:29:13 2023 commencing in-memory singleton removal Thu Mar 9 21:29:19 2023 begin with 164905385 relations and 122375040 unique ideals Thu Mar 9 21:29:43 2023 reduce to 122523876 relations and 76910748 ideals in 11 passes Thu Mar 9 21:29:43 2023 max relations containing the same ideal: 52 Thu Mar 9 21:29:51 2023 reading ideals above 720000 Thu Mar 9 21:29:52 2023 commencing singleton removal, initial pass Thu Mar 9 21:49:58 2023 memory use: 2756.0 MB Thu Mar 9 21:49:58 2023 reading all ideals from disk Thu Mar 9 21:50:34 2023 memory use: 5666.0 MB Thu Mar 9 21:50:58 2023 keeping 89539467 ideals with weight <= 200, target excess is 614260 Thu Mar 9 21:51:24 2023 commencing in-memory singleton removal Thu Mar 9 21:51:35 2023 begin with 122523876 relations and 89539467 unique ideals Thu Mar 9 21:51:51 2023 reduce to 122523810 relations and 89539401 ideals in 4 passes Thu Mar 9 21:51:51 2023 max relations containing the same ideal: 200 Thu Mar 9 21:52:57 2023 removing 8166003 relations and 6166003 ideals in 2000000 cliques Thu Mar 9 21:53:04 2023 commencing in-memory singleton removal Thu Mar 9 21:53:14 2023 begin with 114357807 relations and 89539401 unique ideals Thu Mar 9 21:53:40 2023 reduce to 113919792 relations and 82926252 ideals in 7 passes Thu Mar 9 21:53:40 2023 max relations containing the same ideal: 198 Thu Mar 9 21:54:43 2023 removing 6469075 relations and 4469075 ideals in 2000000 cliques Thu Mar 9 21:54:50 2023 commencing in-memory singleton removal Thu Mar 9 21:54:59 2023 begin with 107450717 relations and 82926252 unique ideals Thu Mar 9 21:55:22 2023 reduce to 107151333 relations and 78152285 ideals in 7 passes Thu Mar 9 21:55:22 2023 max relations containing the same ideal: 194 Thu Mar 9 21:56:21 2023 removing 6021676 relations and 4021676 ideals in 2000000 cliques Thu Mar 9 21:56:27 2023 commencing in-memory singleton removal Thu Mar 9 21:56:36 2023 begin with 101129657 relations and 78152285 unique ideals Thu Mar 9 21:56:57 2023 reduce to 100868881 relations and 73865075 ideals in 7 passes Thu Mar 9 21:56:57 2023 max relations containing the same ideal: 187 Thu Mar 9 21:57:52 2023 removing 5789188 relations and 3789188 ideals in 2000000 cliques Thu Mar 9 21:57:58 2023 commencing in-memory singleton removal Thu Mar 9 21:58:06 2023 begin with 95079693 relations and 73865075 unique ideals Thu Mar 9 21:58:25 2023 reduce to 94836757 relations and 69828519 ideals in 7 passes Thu Mar 9 21:58:25 2023 max relations containing the same ideal: 181 Thu Mar 9 21:59:17 2023 removing 5639849 relations and 3639849 ideals in 2000000 cliques Thu Mar 9 21:59:23 2023 commencing in-memory singleton removal Thu Mar 9 21:59:30 2023 begin with 89196908 relations and 69828519 unique ideals Thu Mar 9 21:59:46 2023 reduce to 88961011 relations and 65948152 ideals in 6 passes Thu Mar 9 21:59:46 2023 max relations containing the same ideal: 174 Thu Mar 9 22:00:35 2023 removing 5540528 relations and 3540528 ideals in 2000000 cliques Thu Mar 9 22:00:40 2023 commencing in-memory singleton removal Thu Mar 9 22:00:47 2023 begin with 83420483 relations and 65948152 unique ideals Thu Mar 9 22:01:04 2023 reduce to 83184686 relations and 62167024 ideals in 7 passes Thu Mar 9 22:01:04 2023 max relations containing the same ideal: 166 Thu Mar 9 22:01:50 2023 removing 5470761 relations and 3470761 ideals in 2000000 cliques Thu Mar 9 22:01:55 2023 commencing in-memory singleton removal Thu Mar 9 22:02:02 2023 begin with 77713925 relations and 62167024 unique ideals Thu Mar 9 22:02:16 2023 reduce to 77474779 relations and 58451912 ideals in 6 passes Thu Mar 9 22:02:16 2023 max relations containing the same ideal: 158 Thu Mar 9 22:02:58 2023 removing 5421923 relations and 3421923 ideals in 2000000 cliques Thu Mar 9 22:03:03 2023 commencing in-memory singleton removal Thu Mar 9 22:03:09 2023 begin with 72052856 relations and 58451912 unique ideals Thu Mar 9 22:03:23 2023 reduce to 71806145 relations and 54777714 ideals in 7 passes Thu Mar 9 22:03:23 2023 max relations containing the same ideal: 150 Thu Mar 9 22:04:03 2023 removing 5391918 relations and 3391918 ideals in 2000000 cliques Thu Mar 9 22:04:08 2023 commencing in-memory singleton removal Thu Mar 9 22:04:14 2023 begin with 66414227 relations and 54777714 unique ideals Thu Mar 9 22:04:26 2023 reduce to 66155242 relations and 51120371 ideals in 6 passes Thu Mar 9 22:04:26 2023 max relations containing the same ideal: 142 Thu Mar 9 22:05:05 2023 removing 5376389 relations and 3376389 ideals in 2000000 cliques Thu Mar 9 22:05:09 2023 commencing in-memory singleton removal Thu Mar 9 22:05:14 2023 begin with 60778853 relations and 51120371 unique ideals Thu Mar 9 22:05:25 2023 reduce to 60503306 relations and 47461186 ideals in 6 passes Thu Mar 9 22:05:25 2023 max relations containing the same ideal: 133 Thu Mar 9 22:05:59 2023 removing 5373289 relations and 3373289 ideals in 2000000 cliques Thu Mar 9 22:06:04 2023 commencing in-memory singleton removal Thu Mar 9 22:06:08 2023 begin with 55130017 relations and 47461186 unique ideals Thu Mar 9 22:06:18 2023 reduce to 54831969 relations and 43781371 ideals in 6 passes Thu Mar 9 22:06:18 2023 max relations containing the same ideal: 125 Thu Mar 9 22:06:51 2023 removing 5384549 relations and 3384549 ideals in 2000000 cliques Thu Mar 9 22:06:55 2023 commencing in-memory singleton removal Thu Mar 9 22:06:59 2023 begin with 49447420 relations and 43781371 unique ideals Thu Mar 9 22:07:09 2023 reduce to 49120425 relations and 40059700 ideals in 7 passes Thu Mar 9 22:07:09 2023 max relations containing the same ideal: 118 Thu Mar 9 22:07:39 2023 removing 5406214 relations and 3406214 ideals in 2000000 cliques Thu Mar 9 22:07:43 2023 commencing in-memory singleton removal Thu Mar 9 22:07:47 2023 begin with 43714211 relations and 40059700 unique ideals Thu Mar 9 22:07:54 2023 reduce to 43347133 relations and 36273720 ideals in 6 passes Thu Mar 9 22:07:54 2023 max relations containing the same ideal: 111 Thu Mar 9 22:08:21 2023 removing 5447538 relations and 3447538 ideals in 2000000 cliques Thu Mar 9 22:08:25 2023 commencing in-memory singleton removal Thu Mar 9 22:08:28 2023 begin with 37899595 relations and 36273720 unique ideals Thu Mar 9 22:08:36 2023 reduce to 37476417 relations and 32386621 ideals in 8 passes Thu Mar 9 22:08:36 2023 max relations containing the same ideal: 99 Thu Mar 9 22:09:00 2023 removing 5500860 relations and 3500860 ideals in 2000000 cliques Thu Mar 9 22:09:03 2023 commencing in-memory singleton removal Thu Mar 9 22:09:06 2023 begin with 31975557 relations and 32386621 unique ideals Thu Mar 9 22:09:12 2023 reduce to 31473772 relations and 28361829 ideals in 7 passes Thu Mar 9 22:09:12 2023 max relations containing the same ideal: 84 Thu Mar 9 22:09:32 2023 removing 5578003 relations and 3578003 ideals in 2000000 cliques Thu Mar 9 22:09:36 2023 commencing in-memory singleton removal Thu Mar 9 22:09:38 2023 begin with 25895769 relations and 28361829 unique ideals Thu Mar 9 22:09:43 2023 reduce to 25260046 relations and 24114275 ideals in 8 passes Thu Mar 9 22:09:43 2023 max relations containing the same ideal: 75 Thu Mar 9 22:09:59 2023 removing 1621351 relations and 1188122 ideals in 433229 cliques Thu Mar 9 22:10:01 2023 commencing in-memory singleton removal Thu Mar 9 22:10:02 2023 begin with 23638695 relations and 24114275 unique ideals Thu Mar 9 22:10:06 2023 reduce to 23548149 relations and 22833976 ideals in 6 passes Thu Mar 9 22:10:06 2023 max relations containing the same ideal: 72 Thu Mar 9 22:10:27 2023 relations with 0 large ideals: 7795 Thu Mar 9 22:10:27 2023 relations with 1 large ideals: 10611 Thu Mar 9 22:10:27 2023 relations with 2 large ideals: 150304 Thu Mar 9 22:10:27 2023 relations with 3 large ideals: 904501 Thu Mar 9 22:10:27 2023 relations with 4 large ideals: 2885697 Thu Mar 9 22:10:27 2023 relations with 5 large ideals: 5441574 Thu Mar 9 22:10:27 2023 relations with 6 large ideals: 6375010 Thu Mar 9 22:10:27 2023 relations with 7+ large ideals: 7772657 Thu Mar 9 22:10:27 2023 commencing 2-way merge Thu Mar 9 22:10:46 2023 reduce to 16088232 relation sets and 15374059 unique ideals Thu Mar 9 22:10:46 2023 commencing full merge Thu Mar 9 22:20:42 2023 memory use: 1983.6 MB Thu Mar 9 22:20:44 2023 found 7049757 cycles, need 7022259 Thu Mar 9 22:20:49 2023 weight of 7022259 cycles is about 913524653 (130.09/cycle) Thu Mar 9 22:20:49 2023 distribution of cycle lengths: Thu Mar 9 22:20:49 2023 1 relations: 161935 Thu Mar 9 22:20:49 2023 2 relations: 330069 Thu Mar 9 22:20:49 2023 3 relations: 430920 Thu Mar 9 22:20:49 2023 4 relations: 469375 Thu Mar 9 22:20:49 2023 5 relations: 506248 Thu Mar 9 22:20:49 2023 6 relations: 515162 Thu Mar 9 22:20:49 2023 7 relations: 516601 Thu Mar 9 22:20:49 2023 8 relations: 504244 Thu Mar 9 22:20:49 2023 9 relations: 478559 Thu Mar 9 22:20:49 2023 10+ relations: 3109146 Thu Mar 9 22:20:49 2023 heaviest cycle: 28 relations Thu Mar 9 22:20:51 2023 commencing cycle optimization Thu Mar 9 22:21:18 2023 start with 66889732 relations Thu Mar 9 22:25:46 2023 pruned 3756794 relations Thu Mar 9 22:25:46 2023 memory use: 1666.1 MB Thu Mar 9 22:25:46 2023 distribution of cycle lengths: Thu Mar 9 22:25:46 2023 1 relations: 161935 Thu Mar 9 22:25:46 2023 2 relations: 340440 Thu Mar 9 22:25:46 2023 3 relations: 452129 Thu Mar 9 22:25:46 2023 4 relations: 493993 Thu Mar 9 22:25:46 2023 5 relations: 537915 Thu Mar 9 22:25:46 2023 6 relations: 547560 Thu Mar 9 22:25:46 2023 7 relations: 552632 Thu Mar 9 22:25:46 2023 8 relations: 537022 Thu Mar 9 22:25:46 2023 9 relations: 508627 Thu Mar 9 22:25:46 2023 10+ relations: 2890006 Thu Mar 9 22:25:46 2023 heaviest cycle: 28 relations Thu Mar 9 22:26:05 2023 RelProcTime: 5522 Thu Mar 9 22:26:05 2023 Thu Mar 9 22:26:05 2023 commencing linear algebra Thu Mar 9 22:26:05 2023 using VBITS=256 Thu Mar 9 22:26:07 2023 read 7022259 cycles Thu Mar 9 22:26:34 2023 cycles contain 23218397 unique relations Thu Mar 9 22:32:32 2023 read 23218397 relations Thu Mar 9 22:32:43 2023 using 20 quadratic characters above 4294917295 Thu Mar 9 22:33:16 2023 building initial matrix Thu Mar 9 22:43:42 2023 memory use: 3088.8 MB Thu Mar 9 22:43:49 2023 read 7022259 cycles Thu Mar 9 22:43:51 2023 matrix is 7022082 x 7022259 (3486.6 MB) with weight 1004806933 (143.09/col) Thu Mar 9 22:43:51 2023 sparse part has weight 836743174 (119.16/col) Thu Mar 9 22:46:21 2023 filtering completed in 2 passes Thu Mar 9 22:46:23 2023 matrix is 7022016 x 7022192 (3486.6 MB) with weight 1004804521 (143.09/col) Thu Mar 9 22:46:23 2023 sparse part has weight 836742347 (119.16/col) Thu Mar 9 22:47:12 2023 matrix starts at (0, 0) Thu Mar 9 22:47:14 2023 matrix is 7022016 x 7022192 (3486.6 MB) with weight 1004804521 (143.09/col) Thu Mar 9 22:47:14 2023 sparse part has weight 836742347 (119.16/col) Thu Mar 9 22:47:14 2023 saving the first 240 matrix rows for later Thu Mar 9 22:47:17 2023 matrix includes 256 packed rows Thu Mar 9 22:47:22 2023 matrix is 7021776 x 7022192 (3176.2 MB) with weight 760958330 (108.36/col) Thu Mar 9 22:47:22 2023 sparse part has weight 720263390 (102.57/col) Thu Mar 9 22:47:22 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB Thu Mar 9 22:47:56 2023 commencing Lanczos iteration (8 threads) Thu Mar 9 22:47:56 2023 memory use: 4272.6 MB Thu Mar 9 23:00:24 2023 linear algebra at 0.4%, ETA 47h 4m Thu Mar 9 23:08:44 2023 checking every 10000 dimensions, checkpointing every 230000 dimensions Fri Mar 10 20:14:45 2023 lanczos halted after 27512 iterations (dim = 7021771) Fri Mar 10 20:15:19 2023 recovered 30 nontrivial dependencies Fri Mar 10 20:15:19 2023 BLanczosTime: 78554 Fri Mar 10 20:15:19 2023 Fri Mar 10 20:15:19 2023 commencing square root phase Fri Mar 10 20:15:19 2023 handling dependencies 1 to 64 Fri Mar 10 20:15:19 2023 reading relations for dependency 1 Fri Mar 10 20:15:21 2023 read 3509451 cycles Fri Mar 10 20:15:35 2023 cycles contain 11613618 unique relations Fri Mar 10 20:20:49 2023 read 11613618 relations Fri Mar 10 20:22:18 2023 multiplying 11613618 relations Fri Mar 10 20:30:49 2023 multiply complete, coefficients have about 346.03 million bits Fri Mar 10 20:30:50 2023 initial square root is modulo 1617827 Fri Mar 10 20:33:15 2023 sqrtTime: 1076 Fri Mar 10 20:33:15 2023 p97 factor: 4047628077402729453461660520507795138162295794389930468129012325065451464628021707106913559316869 Fri Mar 10 20:33:15 2023 p125 factor: 16434459438819635087785459913229329584681806418847112381105855786867640796871973391448998577115021331737311569637093832536737 Fri Mar 10 20:33:15 2023 elapsed time 23:39:14

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:54:33 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 33 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:13 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 13 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:09:40 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 40 秒 (日本時間)
50	43e6	3584 / 3782	1792	Dmitry Domanov	November 2, 2022 16:14:24 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 24 秒 (日本時間)
50	43e6	3584 / 3782	1792	Dmitry Domanov	December 15, 2022 21:32:19 UTC 2022 年 12 月 16 日 (金) 6 時 32 分 19 秒 (日本時間)
55	11e7	1200 / 16251		Dmitry Domanov	February 26, 2023 07:39:38 UTC 2023 年 2 月 26 日 (日) 16 時 39 分 38 秒 (日本時間)

4×10²⁴¹+45×10¹²⁰-49

c188

composite cofactor 合成数の残り	12913614349187388090464629462672118082949395692037927128005996631471925042691525673800013257903017962990868679397389351521272233908963010495145661368904596425775182465667919408671112624611<188>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:48:57 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 57 秒 (日本時間)
45	11e6	3200	1200	Dmitry Domanov	August 14, 2022 13:12:11 UTC 2022 年 8 月 14 日 (日) 22 時 12 分 11 秒 (日本時間)
			1000	Dmitry Domanov	September 6, 2022 20:33:58 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 58 秒 (日本時間)
			1000	Dmitry Domanov	September 24, 2022 11:44:48 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 48 秒 (日本時間)
50	43e6	3584 / 6792	1792	Dmitry Domanov	November 19, 2022 19:02:21 UTC 2022 年 11 月 20 日 (日) 4 時 2 分 21 秒 (日本時間)
50	43e6	3584 / 6792	1792	Dmitry Domanov	December 23, 2022 22:48:01 UTC 2022 年 12 月 24 日 (土) 7 時 48 分 1 秒 (日本時間)

4×10²⁴⁷+45×10¹²³-49

c225

composite cofactor 合成数の残り

247240833858615496234510576581931265107300353525711646314008139090556157832746777645702400944865859397871988760399438490767316743395626162633555358064185097165747522554134412240734853807637174396820527513592433684896022950359<225>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:54:41 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 41 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:20 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 20 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:09:48 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 48 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 2, 2022 16:14:31 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 31 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 15, 2022 21:32:06 UTC 2022 年 12 月 16 日 (金) 6 時 32 分 6 秒 (日本時間)

4×10²⁴⁹+45×10¹²⁴-49

c217

composite cofactor 合成数の残り

2214992043235313376711102786023039619835496839264299673446877980076614909815046772455343546368025162046661328446042177860051670670744281307938946346360483100115998309002627661405675715134515521665354746493308450974871<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 29, 2022 11:19:26 UTC 2022 年 7 月 29 日 (金) 20 時 19 分 26 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 17, 2022 07:01:48 UTC 2022 年 8 月 17 日 (水) 16 時 1 分 48 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:09:55 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 55 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 10, 2022 21:21:41 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 41 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 21, 2022 09:03:51 UTC 2022 年 12 月 21 日 (水) 18 時 3 分 51 秒 (日本時間)

4×10²⁵¹+45×10¹²⁵-49

c205

name 名前	Dmitry Domanov
date 日付	July 30, 2022 08:58:01 UTC 2022 年 7 月 30 日 (土) 17 時 58 分 1 秒 (日本時間)
composite number 合成数	9559977761887509381620477953949117750649642914148259916253026491642020610275557128140989444167348001562404607214859705473071759649985828552856105747791893082858360190424602385325811069301127077808821937371<205>
prime factors 素因数	748791800575689454161947206623360614903<39> 12767204120741659577704441785903914089120397824784274534239911585087436134895818083881859848651920962475975216463810354387889892437572373064039132292250175832380439357<167>
factorization results 素因数分解の結果	Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 15:06:09 2022 Input number is 9559977761887509381620477953949117750649642914148259916253026491642020610275557128140989444167348001562404607214859705473071759649985828552856105747791893082858360190424602385325811069301127077808821937371 (205 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:313908303 Step 1 took 0ms Step 2 took 4137ms ********** Factor found in step 2: 748791800575689454161947206623360614903 Found prime factor of 39 digits: 748791800575689454161947206623360614903 Prime cofactor 12767204120741659577704441785903914089120397824784274534239911585087436134895818083881859848651920962475975216463810354387889892437572373064039132292250175832380439357 has 167 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792 / 2078		Dmitry Domanov	July 29, 2022 11:19:36 UTC 2022 年 7 月 29 日 (金) 20 時 19 分 36 秒 (日本時間)

4×10²⁵³+45×10¹²⁶-49

c248

composite cofactor 合成数の残り

23893321099952930157433092727589856807326647982089566503475283553988153691398643337227944672625660948994927447930479992927576981293918910846850979745631703569901105543967294822078384429200505582674475004002131284242115801370043031871301015227213537<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:54:50 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 50 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:28 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 28 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:04 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 4 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 00:54:07 UTC 2022 年 10 月 28 日 (金) 9 時 54 分 7 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 6, 2022 09:07:24 UTC 2022 年 12 月 6 日 (火) 18 時 7 分 24 秒 (日本時間)

4×10²⁵⁵+45×10¹²⁷-49

c247

name 名前	Dmitry Domanov
date 日付	July 29, 2022 16:46:38 UTC 2022 年 7 月 30 日 (土) 1 時 46 分 38 秒 (日本時間)
composite number 合成数	1575073459496685937548686997264410840472696366979502874464173987856180477133632428127748153717397891133830065195298878875469625458068573132116879844432766534801044115566270969309326649591011779040385014232592165663681151150880266895819694083152913<247>
prime factors 素因数	8165654561154842739732494526004438193<37>
composite cofactor 合成数の残り	192890043008864224084102271259839175748498574142392400196789893927510835481931981261743029225018836220942324650042153712751678636687360603455448757491902804781663458393393070711543017719160193985640630524659041<210>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 13:31:46 2022 Input number is 1575073459496685937548686997264410840472696366979502874464173987856180477133632428127748153717397891133830065195298878875469625458068573132116879844432766534801044115566270969309326649591011779040385014232592165663681151150880266895819694083152913 (247 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2245497575 Step 1 took 0ms Step 2 took 5075ms ********** Factor found in step 2: 8165654561154842739732494526004438193 Found prime factor of 37 digits: 8165654561154842739732494526004438193 Composite cofactor 192890043008864224084102271259839175748498574142392400196789893927510835481931981261743029225018836220942324650042153712751678636687360603455448757491902804781663458393393070711543017719160193985640630524659041 has 210 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:54:59 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 59 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 17, 2022 07:01:56 UTC 2022 年 8 月 17 日 (水) 16 時 1 分 56 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:12 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 12 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 10, 2022 21:21:50 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 50 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 21, 2022 09:03:57 UTC 2022 年 12 月 21 日 (水) 18 時 3 分 57 秒 (日本時間)

4×10²⁵⁹+45×10¹²⁹-49

c240

composite cofactor 合成数の残り

704872154943960699802162270853633193170303272209058092659664915878186285318426440989005011985140544878501326798499690089523952943350073926265107990983919235262576200224802702554488094726593356011947041500055038974897051065356872669153227079<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:55:05 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 5 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:35 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 35 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:20 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 20 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 12:52:52 UTC 2022 年 10 月 28 日 (金) 21 時 52 分 52 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 6, 2022 21:46:01 UTC 2022 年 12 月 7 日 (水) 6 時 46 分 1 秒 (日本時間)

4×10²⁶¹+45×10¹³⁰-49

c248

composite cofactor 合成数の残り

12808118408376892231194267799245156302235971737411488175955340773470373045732083088199928162942572128652351139589515481535455910282837549953963760088787217147769868353646420266617454622397634961170179456158302453968606294980400207457216030432322851<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:55:17 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 17 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:44 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 44 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:28 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 28 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 12:53:12 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 12 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 6, 2022 09:07:41 UTC 2022 年 12 月 6 日 (火) 18 時 7 分 41 秒 (日本時間)

4×10²⁶³+45×10¹³¹-49

c226

composite cofactor 合成数の残り

1329028299595396411712395983339260473169073457821757294459681615453889437273310776082605804631305944066854273437724479523122804678330040036819795049452733699209282773280467356412443129269612424333506445363035592846857862538153<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:55:29 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 29 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:01:52 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 52 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:36 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 36 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 2, 2022 16:14:41 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 41 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 15, 2022 21:31:50 UTC 2022 年 12 月 16 日 (金) 6 時 31 分 50 秒 (日本時間)

4×10²⁶⁷+45×10¹³³-49

c249

composite cofactor 合成数の残り

275805338043023038150736860660835577629020968343254358354912254781571207857468334955503322630682822237810090105991517067469455751652918705311512248066413867625806100125591934254121234847158788132712544378106975648273700442069991885079522471207302347<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:55:48 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 48 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:02:00 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 0 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:43 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 43 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 12:53:27 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 27 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 6, 2022 09:07:55 UTC 2022 年 12 月 6 日 (火) 18 時 7 分 55 秒 (日本時間)

4×10²⁶⁹+45×10¹³⁴-49

c245

composite cofactor 合成数の残り

11125271579663674894517158356584078468522725430255713476530618667119652670951240540311041087444966632361513371057145070894390226918496116534898546333288287689982033727320018829552085139788527044406691826115115695559849010259418189202536846681391<245>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:55:54 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 54 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:02:09 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 9 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:10:51 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 51 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 12:53:34 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 34 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 6, 2022 09:08:08 UTC 2022 年 12 月 6 日 (火) 18 時 8 分 8 秒 (日本時間)

4×10²⁷¹+45×10¹³⁵-49

c200

composite cofactor 合成数の残り

88892835649593619691964711074714208310215803661870262602948283403227987703629826669032275314321492957895920260647762172223391769984331201467534126625899892476768273638996612819164792685179336628440183<200>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1000		Dmitry Domanov	July 21, 2022 16:49:03 UTC 2022 年 7 月 22 日 (金) 1 時 49 分 3 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 17, 2022 07:02:04 UTC 2022 年 8 月 17 日 (水) 16 時 2 分 4 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:11:08 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 8 秒 (日本時間)
50	43e6	3584 / 6705	1792	Dmitry Domanov	November 10, 2022 21:21:32 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 32 秒 (日本時間)
50	43e6	3584 / 6705	1792	Dmitry Domanov	December 21, 2022 09:04:06 UTC 2022 年 12 月 21 日 (水) 18 時 4 分 6 秒 (日本時間)

4×10²⁷⁵+45×10¹³⁷-49

c258

name 名前	Dmitry Domanov
date 日付	August 6, 2022 07:41:26 UTC 2022 年 8 月 6 日 (土) 16 時 41 分 26 秒 (日本時間)
composite number 合成数	141668063545180902176633574559450769167201775263222915339043620302655557411888002955092452902901581436465391439218224915489499112411583097927347568422753892934513540108253277572465698737459565228843839218288962451207254006650936990740678513333935790273683001<258>
prime factors 素因数	65170727190293450844453218721154446081037<41>
composite cofactor 合成数の残り	2173799029916010961970564647878711894750400824588065789953766668425372730787695977625529904005066435575328002651665252497070093349316463087245371261621785890579603619227040594315304062126444205899784831764962221482973<217>
factorization results 素因数分解の結果	Resuming ECM residue saved by @1f1df1d735e1 with GMP-ECM 7.0.5-dev on Thu Aug 4 19:53:59 2022 Input number is 141668063545180902176633574559450769167201775263222915339043620302655557411888002955092452902901581436465391439218224915489499112411583097927347568422753892934513540108253277572465698737459565228843839218288962451207254006650936990740678513333935790273683001 (258 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3404882750 Step 1 took 0ms Step 2 took 15150ms ********** Factor found in step 2: 65170727190293450844453218721154446081037 Found prime factor of 41 digits: 65170727190293450844453218721154446081037 Composite cofactor 2173799029916010961970564647878711894750400824588065789953766668425372730787695977625529904005066435575328002651665252497070093349316463087245371261621785890579603619227040594315304062126444205899784831764962221482973 has 217 digits

c217

name 名前	Dmitry Domanov
date 日付	September 11, 2022 08:39:19 UTC 2022 年 9 月 11 日 (日) 17 時 39 分 19 秒 (日本時間)
composite number 合成数	2173799029916010961970564647878711894750400824588065789953766668425372730787695977625529904005066435575328002651665252497070093349316463087245371261621785890579603619227040594315304062126444205899784831764962221482973<217>
prime factors 素因数	4509638432559063733011126653854013098980967<43> 482033995058547353903441761612009010156142162892582378273029976923491675472937537519631712699462498836795150900506329776136322380956153031113029694162988163356747366760513819<174>
factorization results 素因数分解の結果	GPU: factor 4509638432559063733011126653854013098980967 found in Step 1 with curve 1587 (-sigma 3:1263750403) Computing 1792 Step 1 took 924ms of CPU time / 642537ms of GPU time Throughput: 2.789 curves per second (on average 358.56ms per Step 1) ********** Factor found in step 1: 4509638432559063733011126653854013098980967 Found prime factor of 43 digits: 4509638432559063733011126653854013098980967 Prime cofactor 482033995058547353903441761612009010156142162892582378273029976923491675472937537519631712699462498836795150900506329776136322380956153031113029694162988163356747366760513819 has 174 digits Peak memory usage: 9430MB

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:47:24 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 24 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	August 4, 2022 15:02:43 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 43 秒 (日本時間)
45	11e6	3584 / 4038	1792	Dmitry Domanov	September 9, 2022 09:11:00 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 0 秒 (日本時間)

4×10²⁷⁷+45×10¹³⁸-49

c269

composite cofactor 合成数の残り

31335024553545542204046278559889023375680770251001474435111840076588314973186729162117016945395313598277922309011779778913916831035321337938898839169260744508088072764414188848816719439078243152088386478146009125367049468800673337034814443745454051728504034498784108609<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:47:31 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 31 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 4, 2022 15:02:51 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 51 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 26, 2022 13:44:39 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 39 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 12:53:39 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 39 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 28, 2022 22:23:57 UTC 2022 年 11 月 29 日 (火) 7 時 23 分 57 秒 (日本時間)

4×10²⁷⁹+45×10¹³⁹-49

c228

composite cofactor 合成数の残り

405882210631379713433660998551643012677294479700009575688053693324353236726061854278617290534325032893365930284337702462503710134584953060136869962127480984232413471889743187289903618813475040771583835946826455467320848653203103<228>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:56:01 UTC 2022 年 7 月 27 日 (水) 19 時 56 分 1 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:02:16 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 16 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:11:16 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 16 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 2, 2022 16:14:48 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 48 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 15, 2022 21:31:35 UTC 2022 年 12 月 16 日 (金) 6 時 31 分 35 秒 (日本時間)

4×10²⁸¹+45×10¹⁴⁰-49

c244

composite cofactor 合成数の残り

3748651479759643717495642330162519894216789525980618879420045085939547360003981747881237979734589257184072991723429844801256989189010947914706618974928730757080811006120671714782858791580501490744886813401733505991420908062157601091159450937777<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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 27, 2022 10:56:09 UTC 2022 年 7 月 27 日 (水) 19 時 56 分 9 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 10, 2022 09:02:24 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 24 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:11:24 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 24 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 28, 2022 12:53:58 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 58 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 6, 2022 21:45:31 UTC 2022 年 12 月 7 日 (水) 6 時 45 分 31 秒 (日本時間)

4×10²⁸⁵+45×10¹⁴²-49

c277

composite cofactor 合成数の残り

1470237360985804618630992215720964933305482921051651433603530173989374238794714231456436110556868381953487415002692820589700355378276686947664977330123434674486353428097982316376105200764271134981473237615558873910684047736295898077606282087829324696618027553874227395228853053<277>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:47:39 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 39 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 4, 2022 15:02:58 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 58 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 26, 2022 13:44:45 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 45 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 14, 2022 17:20:43 UTC 2022 年 10 月 15 日 (土) 2 時 20 分 43 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 25, 2022 09:37:04 UTC 2022 年 11 月 25 日 (金) 18 時 37 分 4 秒 (日本時間)

4×10²⁸⁷+45×10¹⁴³-49

c287

composite cofactor 合成数の残り

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<287>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:47:53 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 53 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 4, 2022 15:03:06 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 6 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 26, 2022 13:44:52 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 52 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 14, 2022 17:20:57 UTC 2022 年 10 月 15 日 (土) 2 時 20 分 57 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 28, 2022 22:22:29 UTC 2022 年 11 月 29 日 (火) 7 時 22 分 29 秒 (日本時間)

4×10²⁸⁹+45×10¹⁴⁴-49

c280

composite cofactor 合成数の残り

1199336701991643245656750821504893399825457195603124621691350127179109079919749699552873497118809514038270697676036649319905562975977661131561440323920636783187685446485571950630992848855729229572438875207413484134648856545905906293064759110992039044398657583053115838750790886547<280>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:48:00 UTC 2022 年 7 月 18 日 (月) 17 時 48 分 0 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 4, 2022 15:03:14 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 14 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 26, 2022 13:44:59 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 59 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 14, 2022 17:21:04 UTC 2022 年 10 月 15 日 (土) 2 時 21 分 4 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 25, 2022 00:11:06 UTC 2022 年 11 月 25 日 (金) 9 時 11 分 6 秒 (日本時間)

4×10²⁹³+45×10¹⁴⁶-49

c293

composite cofactor 合成数の残り

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<293>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:48:08 UTC 2022 年 7 月 18 日 (月) 17 時 48 分 8 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 4, 2022 15:03:21 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 21 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 26, 2022 13:45:06 UTC 2022 年 8 月 26 日 (金) 22 時 45 分 6 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 14, 2022 17:21:11 UTC 2022 年 10 月 15 日 (土) 2 時 21 分 11 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 28, 2022 22:22:18 UTC 2022 年 11 月 29 日 (火) 7 時 22 分 18 秒 (日本時間)

4×10²⁹⁵+45×10¹⁴⁷-49

c212

composite cofactor 合成数の残り

23071527528036997056684548029672383604980860072577329370556231945293034997650946907752212407283770580532262291598213093217576724754460241857854328880353609516117527049152434004151604848191694008752527597071373593<212>

ECM

level 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 29, 2022 11:19:44 UTC 2022 年 7 月 29 日 (金) 20 時 19 分 44 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 17, 2022 07:02:12 UTC 2022 年 8 月 17 日 (水) 16 時 2 分 12 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	September 9, 2022 09:11:33 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 33 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 10, 2022 21:21:22 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 22 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	December 21, 2022 09:04:14 UTC 2022 年 12 月 21 日 (水) 18 時 4 分 14 秒 (日本時間)

4×10²⁹⁹+45×10¹⁴⁹-49

c280

composite cofactor 合成数の残り

6661620986251163845332542800343711965054901006419736687045590389617731708350009824497909209034006620086670486895757047242317268616286782739809475691518091435988068689245798810392644019195030668497618053700044942891807580151995144415581983184835348011900365762466949674153568815541<280>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	July 18, 2022 08:48:16 UTC 2022 年 7 月 18 日 (月) 17 時 48 分 16 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 4, 2022 15:03:29 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 29 秒 (日本時間)
45	11e6	3584	1792	Dmitry Domanov	August 26, 2022 13:45:13 UTC 2022 年 8 月 26 日 (金) 22 時 45 分 13 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	October 14, 2022 17:21:20 UTC 2022 年 10 月 15 日 (土) 2 時 21 分 20 秒 (日本時間)
50	43e6	3584 / 6675	1792	Dmitry Domanov	November 25, 2022 00:10:58 UTC 2022 年 11 月 25 日 (金) 9 時 10 分 58 秒 (日本時間)

4×10³⁰¹+45×10¹⁵⁰-49

c273

name 名前	Dmitry Domanov
date 日付	November 3, 2022 07:50:07 UTC 2022 年 11 月 3 日 (木) 16 時 50 分 7 秒 (日本時間)
composite number 合成数	763532494573068065418099117662844739321229352672441787542074793045362498179955868074693974110609637870555517895120314139230571025962511769663941588498006461944160528594792379005271657169943067384992479833817506045290346282237654661580814191006363145189742536052624247314713<273>
prime factors 素因数	1821701619877329510215583465084505164577313561<46>
composite cofactor 合成数の残り	419131479185094609101682446463976761486512603057918120703471345091971743940866688275532064712735492268195593382593959812816724133095957481464217357177076726665424018071978974156012390937999327658049001840534296583380554583455233<228>
factorization results 素因数分解の結果	Resuming ECM residue saved by @6a6ea35ef2cf with GMP-ECM 7.0.5-dev on Sun Oct 30 19:19:02 2022 Input number is 763532494573068065418099117662844739321229352672441787542074793045362498179955868074693974110609637870555517895120314139230571025962511769663941588498006461944160528594792379005271657169943067384992479833817506045290346282237654661580814191006363145189742536052624247314713 (273 digits) Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1332068851 Step 1 took 0ms Step 2 took 101243ms ********** Factor found in step 2: 1821701619877329510215583465084505164577313561 Found prime factor of 46 digits: 1821701619877329510215583465084505164577313561 Composite cofactor 419131479185094609101682446463976761486512603057918120703471345091971743940866688275532064712735492268195593382593959812816724133095957481464217357177076726665424018071978974156012390937999327658049001840534296583380554583455233 has 228 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 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
40	3e6	1792		Dmitry Domanov	May 19, 2022 18:54:35 UTC 2022 年 5 月 20 日 (金) 3 時 54 分 35 秒 (日本時間)
45	11e6	3584		Dmitry Domanov	May 28, 2022 22:13:59 UTC 2022 年 5 月 29 日 (日) 7 時 13 分 59 秒 (日本時間)
50	43e6	3714 / 6675	130	Dmitry Domanov	May 28, 2022 22:13:59 UTC 2022 年 5 月 29 日 (日) 7 時 13 分 59 秒 (日本時間)
			1792	Dmitry Domanov	October 30, 2022 06:33:03 UTC 2022 年 10 月 30 日 (日) 15 時 33 分 3 秒 (日本時間)
			1792	Dmitry Domanov	December 15, 2022 21:31:18 UTC 2022 年 12 月 16 日 (金) 6 時 31 分 18 秒 (日本時間)