Contributed factorization results of 88...88188...88

Table of contents 目次

8×10¹²⁵-63×10⁶²-89
- c119
- ECM
8×10¹²⁹-63×10⁶⁴-89
- c100
- ECM
8×10¹³⁷-63×10⁶⁸-89
- c116
- ECM
8×10¹⁴¹-63×10⁷⁰-89
- c114
- ECM
8×10¹⁴⁵-63×10⁷²-89
- c111
- ECM
8×10¹⁴⁷-63×10⁷³-89
- c108
- ECM
8×10¹⁴⁹-63×10⁷⁴-89
- c100
- ECM
8×10¹⁵⁵-63×10⁷⁷-89
- c129
- ECM
8×10¹⁵⁷-63×10⁷⁸-89
- c130
- ECM
8×10¹⁵⁹-63×10⁷⁹-89
- c100
- ECM
8×10¹⁶¹-63×10⁸⁰-89
- c152
- ECM
8×10¹⁶⁵-63×10⁸²-89
- c147
- ECM
8×10¹⁶⁷-63×10⁸³-89
- c120
- ECM
8×10¹⁶⁹-63×10⁸⁴-89
- c167
- ECM
8×10¹⁷³-63×10⁸⁶-89
- c139
- ECM
8×10¹⁷⁷-63×10⁸⁸-89
- c173
- ECM
8×10¹⁷⁹-63×10⁸⁹-89
- c127
- ECM
8×10¹⁸³-63×10⁹¹-89
- c154
- ECM
8×10¹⁹¹-63×10⁹⁵-89
- c145
- ECM
8×10¹⁹³-63×10⁹⁶-89
- c171
- ECM
8×10¹⁹⁵-63×10⁹⁷-89
- c143
- ECM
8×10²⁰³-63×10¹⁰¹-89
- c177
- ECM
8×10²¹³-63×10¹⁰⁶-89
- c213
- ECM
8×10²¹⁷-63×10¹⁰⁸-89
- c211
- ECM
8×10²¹⁹-63×10¹⁰⁹-89
- c201
- c162
- ECM
8×10²²⁷-63×10¹¹³-89
- c219
- ECM
8×10²²⁹-63×10¹¹⁴-89
- c229
- ECM
8×10²³¹-63×10¹¹⁵-89
- c153
- c119
- ECM
8×10²³³-63×10¹¹⁶-89
- c231
- ECM
8×10²³⁵-63×10¹¹⁷-89
- c206
- ECM
8×10²³⁷-63×10¹¹⁸-89
- c215
- ECM
8×10²³⁹-63×10¹¹⁹-89
- c208
- ECM
8×10²⁴¹-63×10¹²⁰-89
- c222
- ECM
8×10²⁴⁷-63×10¹²³-89
- c247
- ECM
8×10²⁴⁹-63×10¹²⁴-89
- c210
- ECM
8×10²⁵¹-63×10¹²⁵-89
- c168
- ECM
8×10²⁵⁷-63×10¹²⁸-89
- c198
- ECM
8×10²⁵⁹-63×10¹²⁹-89
- c219
- ECM
8×10²⁶¹-63×10¹³⁰-89
- c233
- ECM
8×10²⁶³-63×10¹³¹-89
- c256
- ECM
8×10²⁶⁵-63×10¹³²-89
- c261
- ECM
8×10²⁶⁷-63×10¹³³-89
- c237
- ECM
8×10²⁶⁹-63×10¹³⁴-89
- c263
- ECM
8×10²⁷¹-63×10¹³⁵-89
- c243
- ECM
8×10²⁷³-63×10¹³⁶-89
- c252
- ECM
8×10²⁷⁷-63×10¹³⁸-89
- c231
- ECM
8×10²⁸⁵-63×10¹⁴²-89
- c282
- ECM
8×10²⁸⁷-63×10¹⁴³-89
- c188
- ECM
8×10²⁸⁹-63×10¹⁴⁴-89
- c273
- ECM
8×10²⁹¹-63×10¹⁴⁵-89
- c247
- ECM
8×10²⁹⁵-63×10¹⁴⁷-89
- c225
- ECM
8×10²⁹⁷-63×10¹⁴⁸-89
- c291
- ECM
8×10²⁹⁹-63×10¹⁴⁹-89
- c268
- ECM

8×10¹²⁵-63×10⁶²-89

c119

name 名前	Dmitry Domanov
date 日付	May 18, 2022 18:28:21 UTC 2022 年 5 月 19 日 (木) 3 時 28 分 21 秒 (日本時間)
composite number 合成数	78363703186503262672782170063341381285650587218409828062198837876077207054927470474515731905233206462497874384551066099<119>
prime factors 素因数	376355736908723239668201898569416707738901<42> 208217108181105382626886869504372778042009126203521255806405467127104294304999<78>
factorization results 素因数分解の結果	N=78363703186503262672782170063341381285650587218409828062198837876077207054927470474515731905233206462497874384551066099 ( 119 digits) SNFS difficulty: 125 digits. Divisors found: p42 factor: 376355736908723239668201898569416707738901 p78 factor: 208217108181105382626886869504372778042009126203521255806405467127104294304999 Version: Msieve v. 1.54 (SVN 1043M) Total time: 1.34 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 78363703186503262672782170063341381285650587218409828062198837876077207054927470474515731905233206462497874384551066099 m: 10000000000000000000000000000000 deg: 4 c4: 80 c2: -63 c0: -8 skew: 0.56 # Murphy_E = 2.391e-08 type: snfs lss: 1 rlim: 880000 alim: 880000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 880000/880000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [440000, 740001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 98254 x 98479 Total sieving time: 1.31 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000 total time: 1.34 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)

8×10¹²⁹-63×10⁶⁴-89

c100

name 名前	Dmitry Domanov
date 日付	May 18, 2022 23:08:33 UTC 2022 年 5 月 19 日 (木) 8 時 8 分 33 秒 (日本時間)
composite number 合成数	8862268891181410311091836738965982698822391908768963463831148165316914781787205279841345836987099993<100>
prime factors 素因数	205836315050864650861200400155194706991370119253<48> 43054933668975934310557560639671580974990876655438581<53>
factorization results 素因数分解の結果	N=8862268891181410311091836738965982698822391908768963463831148165316914781787205279841345836987099993 ( 100 digits) SNFS difficulty: 129 digits. Divisors found: p48 factor: 205836315050864650861200400155194706991370119253 p53 factor: 43054933668975934310557560639671580974990876655438581 Version: Msieve v. 1.54 (SVN 1043M) Total time: 2.59 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 8862268891181410311091836738965982698822391908768963463831148165316914781787205279841345836987099993 m: 100000000000000000000000000000000 deg: 4 c4: 80 c2: -63 c0: -8 skew: 0.56 # Murphy_E = 1.531e-08 type: gnfs lss: 0 rlim: 1020000 alim: 1020000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1020000/1020000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [510000, 1010001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 111146 x 111371 Total sieving time: 2.56 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000 total time: 2.59 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)

8×10¹³⁷-63×10⁶⁸-89

c116

name 名前	Eric Jeancolas
date 日付	May 22, 2022 18:48:49 UTC 2022 年 5 月 23 日 (月) 3 時 48 分 49 秒 (日本時間)
composite number 合成数	13375189487819035749783023708058457035727445257990923568799741976132265632083363025599098073227413662955131369013133<116>
prime factors 素因数	1360820179530471014666792029486740556886019673<46> 9828770684774771988227057366103404110264786216463444324989830236200021<70>
factorization results 素因数分解の結果	13375189487819035749783023708058457035727445257990923568799741976132265632083363025599098073227413662955131369013133=13608201795304710146667920294867405568860196739828770684774771988227057366103404110264786216463444324989830236200021 cado polynomial n: 13375189487819035749783023708058457035727445257990923568799741976132265632083363025599098073227413662955131369013133 skew: 0.56 type: snfs c0: -8 c2: -63 c4: 80 Y0: 10000000000000000000000000000000000 Y1: -1 # f(x) = 80x^4-63*x^2-8 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1390000 tasks.lim1 = 1390000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1360820179530471014666792029486740556886019673 9828770684774771988227057366103404110264786216463444324989830236200021 Info:Square Root: Total cpu/real time for sqrt: 20.16/6.62482 Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.73/39.014 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6042701 Info:Lattice Sieving: Average J: 1888.64 for 76112 special-q, max bucket fill -bkmult 1.0,1s:1.320370 Info:Lattice Sieving: Total time: 6981.48s Info:Linear Algebra: Total cpu/real time for bwc: 262.84/69.64 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 149.62, WCT time 38.86, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations) Info:Linear Algebra: Lingen CPU time 19.44, WCT time 4.97 Info:Linear Algebra: Mksol: CPU time 82.46, WCT time 21.52, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 44.52/13.2935 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.45/22.2756 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.2s Info:Filtering - Merging: Merged matrix has 140016 rows and total weight 23825863 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 28.28/7.95953 Info:Filtering - Merging: Total cpu/real time for replay: 4.31/3.57031 Info:Generate Factor Base: Total cpu/real time for makefb: 0.86/0.474617 Info:Quadratic Characters: Total cpu/real time for characters: 4.41/1.72778 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.26/46.953 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.8s Info:Square Root: Total cpu/real time for sqrt: 20.16/6.62482 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13023.1/3798.38 Info:root: Cleaning up computation data in /tmp/cado.mopdev6l 1360820179530471014666792029486740556886019673 9828770684774771988227057366103404110264786216463444324989830236200021
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)

8×10¹⁴¹-63×10⁷⁰-89

c114

name 名前	Eric Jeancolas
date 日付	May 23, 2022 14:30:34 UTC 2022 年 5 月 23 日 (月) 23 時 30 分 34 秒 (日本時間)
composite number 合成数	110082946584014870902978200621560112000342278360170732481128324015433265044728284145040495444726075761142841367267<114>
prime factors 素因数	102308646120495763247621221322816469143597<42> 1075988694585624678319677415073655464459613576876941343956159392853324111<73>
factorization results 素因数分解の結果	110082946584014870902978200621560112000342278360170732481128324015433265044728284145040495444726075761142841367267=1023086461204957632476212213228164691435971075988694585624678319677415073655464459613576876941343956159392853324111 cado polynomial n: 110082946584014870902978200621560112000342278360170732481128324015433265044728284145040495444726075761142841367267 skew: 0.56 type: snfs c0: -8 c2: -63 c4: 80 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 80x^4-63*x^2-8 # g(x) = -x+10000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1620000 tasks.lim1 = 1620000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 48 tasks.sieve.mfb1 = 48 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1075988694585624678319677415073655464459613576876941343956159392853324111 102308646120495763247621221322816469143597 Info:Square Root: Total cpu/real time for sqrt: 25.18/8.01685 Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.79/38.0095 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6032924 Info:Lattice Sieving: Average J: 1888.43 for 112971 special-q, max bucket fill -bkmult 1.0,1s:1.321440 Info:Lattice Sieving: Total time: 9854.03s Info:Linear Algebra: Total cpu/real time for bwc: 452.77/119.25 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 272.6, WCT time 70.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations) Info:Linear Algebra: Lingen CPU time 23.19, WCT time 5.93 Info:Linear Algebra: Mksol: CPU time 142.08, WCT time 37.18, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.79/24.186 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.77/46.601 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.6s Info:Filtering - Merging: Merged matrix has 173128 rows and total weight 29466430 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 35/9.69717 Info:Filtering - Merging: Total cpu/real time for replay: 5.28/4.41091 Info:Generate Factor Base: Total cpu/real time for makefb: 1.02/0.569465 Info:Quadratic Characters: Total cpu/real time for characters: 5.33/2.07111 Info:Square Root: Total cpu/real time for sqrt: 25.18/8.01685 Info:Generate Free Relations: Total cpu/real time for freerel: 44.11/12.8674 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18515.6/5323.52 Info:root: Cleaning up computation data in /tmp/cado.vlm2enfp 1075988694585624678319677415073655464459613576876941343956159392853324111 102308646120495763247621221322816469143597
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)

8×10¹⁴⁵-63×10⁷²-89

c111

name 名前	Eric Jeancolas
date 日付	May 24, 2022 03:26:49 UTC 2022 年 5 月 24 日 (火) 12 時 26 分 49 秒 (日本時間)
composite number 合成数	250935491621159172321286644195330363037110364501564084933080959448361307964261011731813203570287611649450162299<111>
prime factors 素因数	197350477137623796225083744292402971119<39> 1271522092374610652624017314419704623101894538785581366584869578378055221<73>
factorization results 素因数分解の結果	250935491621159172321286644195330363037110364501564084933080959448361307964261011731813203570287611649450162299=1973504771376237962250837442924029711191271522092374610652624017314419704623101894538785581366584869578378055221 cado polynomial n: 250935491621159172321286644195330363037110364501564084933080959448361307964261011731813203570287611649450162299 skew: 0.56 type: snfs c0: -8 c2: -63 c4: 80 Y0: 1000000000000000000000000000000000000 Y1: -1 # f(x) = 80x^4-63*x^2-8 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 1890000 tasks.lim1 = 1890000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1271522092374610652624017314419704623101894538785581366584869578378055221 197350477137623796225083744292402971119 Info:Square Root: Total cpu/real time for sqrt: 99.18/74.922 Info:Quadratic Characters: Total cpu/real time for characters: 7.89/6.30862 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 52.15/85.8629 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.69999999999999s Info:Square Root: Total cpu/real time for sqrt: 99.18/74.922 Info:Linear Algebra: Total cpu/real time for bwc: 1107.77/972.55 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 506.47, WCT time 436.77, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7552 iterations) Info:Linear Algebra: Lingen CPU time 303.19, WCT time 261.92 Info:Linear Algebra: Mksol: CPU time 276.74, WCT time 260.02, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.24/58.393 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6069299 Info:Lattice Sieving: Average J: 1889.88 for 142255 special-q, max bucket fill -bkmult 1.0,1s:1.326090 Info:Lattice Sieving: Total time: 24251.8s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.71/40.6401 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.5s Info:Generate Free Relations: Total cpu/real time for freerel: 44.69/30.4353 Info:Filtering - Merging: Merged matrix has 240277 rows and total weight 40995973 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 51.16/20.103 Info:Filtering - Merging: Total cpu/real time for replay: 8.59/8.38886 Info:Generate Factor Base: Total cpu/real time for makefb: 1.2/1.59855 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23731.7/13611.4 Info:root: Cleaning up computation data in /tmp/cado.q7lfu92r 1271522092374610652624017314419704623101894538785581366584869578378055221 197350477137623796225083744292402971119
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)

8×10¹⁴⁷-63×10⁷³-89

c108

name 名前	Eric Jeancolas
date 日付	May 24, 2022 06:09:52 UTC 2022 年 5 月 24 日 (火) 15 時 9 分 52 秒 (日本時間)
composite number 合成数	206555700247219676682149656831212159961900367826636917711055732738319175357441633562202236300929740496221621<108>
prime factors 素因数	3047172722812827879377094778482698114141823873445753<52> 67786016427893618003332854074697844472838735149453212957<56>
factorization results 素因数分解の結果	206555700247219676682149656831212159961900367826636917711055732738319175357441633562202236300929740496221621=304717272281282787937709477848269811414182387344575367786016427893618003332854074697844472838735149453212957 cado polynomial n: 206555700247219676682149656831212159961900367826636917711055732738319175357441633562202236300929740496221621 skew: 0.89 type: snfs c0: -20 c2: -63 c4: 32 Y0: 5000000000000000000000000000000000000 Y1: -1 # f(x) = 32x^4-63*x^2-20 # g(x) = -x+500000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2100000 tasks.lim1 = 2100000 tasks.lpb0 = 26 tasks.lpb1 = 26 tasks.sieve.mfb0 = 49 tasks.sieve.mfb1 = 49 tasks.sieve.lambda0 = 2.3 tasks.sieve.lambda1 = 2.3 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 67786016427893618003332854074697844472838735149453212957 3047172722812827879377094778482698114141823873445753 Info:Square Root: Total cpu/real time for sqrt: 42.42/14.1754 Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.45/32.5582 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 6033626 Info:Lattice Sieving: Average J: 1888.81 for 169330 special-q, max bucket fill -bkmult 1.0,1s:1.337940 Info:Lattice Sieving: Total time: 14640.3s Info:Linear Algebra: Total cpu/real time for bwc: 983.57/254.93 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 594.14, WCT time 152.07, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8576 iterations) Info:Linear Algebra: Lingen CPU time 42.48, WCT time 10.8 Info:Linear Algebra: Mksol: CPU time 324.06, WCT time 82.74, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 44.2/13.1271 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.3/24.6609 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.6s Info:Filtering - Merging: Merged matrix has 270732 rows and total weight 46031064 (170.0 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 54.66/15.257 Info:Filtering - Merging: Total cpu/real time for replay: 8.65/7.16267 Info:Generate Factor Base: Total cpu/real time for makefb: 1.33/0.765024 Info:Quadratic Characters: Total cpu/real time for characters: 8.62/3.38725 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.51/49.986 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.4s Info:Square Root: Total cpu/real time for sqrt: 42.42/14.1754 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27864.2/7838.76 Info:root: Cleaning up computation data in /tmp/cado._ropja0b 67786016427893618003332854074697844472838735149453212957 3047172722812827879377094778482698114141823873445753
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)

8×10¹⁴⁹-63×10⁷⁴-89

c100

name 名前	Dmitry Domanov
date 日付	May 18, 2022 21:41:25 UTC 2022 年 5 月 19 日 (木) 6 時 41 分 25 秒 (日本時間)
composite number 合成数	7633605322406467894988436297110087120849993457589695353359743488655449467664675097795214600634172793<100>
prime factors 素因数	2328442251376509139779477926527750099<37> 3278417284299705753552133923560277697493153823717756216471867907<64>
factorization results 素因数分解の結果	N=7633605322406467894988436297110087120849993457589695353359743488655449467664675097795214600634172793 ( 100 digits) Divisors found: p37 factor: 2328442251376509139779477926527750099 p64 factor: 3278417284299705753552133923560277697493153823717756216471867907 Version: Msieve v. 1.54 (SVN 1043M) Total time: 3.58 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 7633605322406467894988436297110087120849993457589695353359743488655449467664675097795214600634172793 skew: 731547.21 c0: 747592175258091140263241865 c1: -4192876208942846001208 c2: -8701543265741971 c3: 20256743214 c4: 8820 Y0: -964527063967979566732424 Y1: 3330640384571 rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [900000, 1200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 243504 x 243730 Total sieving time: 3.44 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.06 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000 total time: 3.58 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)

8×10¹⁵⁵-63×10⁷⁷-89

c129

name 名前	Eric Jeancolas
date 日付	May 25, 2022 05:28:15 UTC 2022 年 5 月 25 日 (水) 14 時 28 分 15 秒 (日本時間)
composite number 合成数	934650748746132341386800433145108102577491233704340468511067151334666997021239354651367969358085591538627018011972332762948202299<129>
prime factors 素因数	108885003597969315110769229507903392946240242171533329<54> 8583833566255797988525464473835068896913543045709048747225964416048957537931<76>
factorization results 素因数分解の結果	934650748746132341386800433145108102577491233704340468511067151334666997021239354651367969358085591538627018011972332762948202299=1088850035979693151107692295079033929462402421715333298583833566255797988525464473835068896913543045709048747225964416048957537931 cado polynomial n: 934650748746132341386800433145108102577491233704340468511067151334666997021239354651367969358085591538627018011972332762948202299 skew: 0.89 type: snfs c0: -20 c2: -63 c4: 32 Y0: 500000000000000000000000000000000000000 Y1: -1 # f(x) = 32x^4-63*x^2-20 # g(x) = -x+50000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 2800000 tasks.lim1 = 2800000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 50 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 108885003597969315110769229507903392946240242171533329 8583833566255797988525464473835068896913543045709048747225964416048957537931 Info:Square Root: Total cpu/real time for sqrt: 160.02/116.866 Info:Quadratic Characters: Total cpu/real time for characters: 12.08/9.89761 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.2/122.299 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 110.1s Info:Square Root: Total cpu/real time for sqrt: 160.02/116.866 Info:Linear Algebra: Total cpu/real time for bwc: 2351.86/1974.28 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1329.89, WCT time 1107.45, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11904 iterations) Info:Linear Algebra: Lingen CPU time 268.58, WCT time 215.63 Info:Linear Algebra: Mksol: CPU time 716.7, WCT time 619.56, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6016 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.51/109.653 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11621047 Info:Lattice Sieving: Average J: 1888.75 for 426380 special-q, max bucket fill -bkmult 1.0,1s:1.320040 Info:Lattice Sieving: Total time: 83376.3s Info:Generate Free Relations: Total cpu/real time for freerel: 89.41/58.309 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.21/59.3414 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.2s Info:Filtering - Merging: Merged matrix has 378295 rows and total weight 64464265 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 82.2/60.2582 Info:Filtering - Merging: Total cpu/real time for replay: 13.22/14.5364 Info:Generate Factor Base: Total cpu/real time for makefb: 1.76/2.40062 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 80522.7/44431.1 Info:root: Cleaning up computation data in /tmp/cado.su_vbjy0 108885003597969315110769229507903392946240242171533329 8583833566255797988525464473835068896913543045709048747225964416048957537931
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)

8×10¹⁵⁷-63×10⁷⁸-89

c130

name 名前	Taiyo Kodama
date 日付	May 25, 2022 06:22:11 UTC 2022 年 5 月 25 日 (水) 15 時 22 分 11 秒 (日本時間)
composite number 合成数	5195073890225777176977058009885912548881237019218657741743208654578373949226800791896227474663521506048870946452846571736083855729<130>
prime factors 素因数	4686305358473929778821475844202096480890217435829<49> 1108564955297220568550028960641689351896297421731041586504408822108211980629153101<82>
factorization results 素因数分解の結果	Wed May 25 15:00:55 2022 Msieve v. 1.53 (SVN unknown) Wed May 25 15:00:55 2022 random seeds: 63f9b7b0 c464e21c Wed May 25 15:00:55 2022 factoring 5195073890225777176977058009885912548881237019218657741743208654578373949226800791896227474663521506048870946452846571736083855729 (130 digits) Wed May 25 15:00:56 2022 searching for 15-digit factors Wed May 25 15:00:56 2022 commencing number field sieve (130-digit input) Wed May 25 15:00:56 2022 R0: -1000000000000000000000000000000000000000 Wed May 25 15:00:56 2022 R1: 1 Wed May 25 15:00:56 2022 A0: -8 Wed May 25 15:00:56 2022 A1: 0 Wed May 25 15:00:56 2022 A2: -63 Wed May 25 15:00:56 2022 A3: 0 Wed May 25 15:00:56 2022 A4: 80 Wed May 25 15:00:56 2022 skew 0.56, size 2.868e-16, alpha 0.016, combined = 5.936e-10 rroots = 2 Wed May 25 15:00:56 2022 Wed May 25 15:00:56 2022 commencing square root phase Wed May 25 15:00:56 2022 reading relations for dependency 1 Wed May 25 15:00:56 2022 read 284102 cycles Wed May 25 15:00:56 2022 cycles contain 953120 unique relations Wed May 25 15:01:03 2022 read 953120 relations Wed May 25 15:01:06 2022 multiplying 953120 relations Wed May 25 15:01:16 2022 multiply complete, coefficients have about 26.25 million bits Wed May 25 15:01:16 2022 initial square root is modulo 34684229 Wed May 25 15:01:28 2022 sqrtTime: 32 Wed May 25 15:01:28 2022 p49 factor: 4686305358473929778821475844202096480890217435829 Wed May 25 15:01:28 2022 p82 factor: 1108564955297220568550028960641689351896297421731041586504408822108211980629153101 Wed May 25 15:01:28 2022 elapsed time 00:00:33 Wed May 25 15:01:28 2022 -> Computing time scale for this machine... Wed May 25 15:01:28 2022 -> procrels -speedtest> PIPE

ECM

level 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)

8×10¹⁵⁹-63×10⁷⁹-89

c100

name 名前	Dmitry Domanov
date 日付	May 18, 2022 20:50:31 UTC 2022 年 5 月 19 日 (木) 5 時 50 分 31 秒 (日本時間)
composite number 合成数	1130667390778623347492222801621283586317529105679089618636311280198145302296210607147677702146688853<100>
prime factors 素因数	89596738364649610173145449923452217179796773697<47> 12619515078516832761667380575378356611790719256464149<53>
factorization results 素因数分解の結果	N=1130667390778623347492222801621283586317529105679089618636311280198145302296210607147677702146688853 ( 100 digits) Divisors found: p47 factor: 89596738364649610173145449923452217179796773697 p53 factor: 12619515078516832761667380575378356611790719256464149 Version: Msieve v. 1.54 (SVN 1043M) Total time: 3.79 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 1130667390778623347492222801621283586317529105679089618636311280198145302296210607147677702146688853 skew: 665594.32 c0: -339943580677895557001447022 c1: 2305435046147725865821 c2: -3071227997277682 c3: 5451988396 c4: 9240 Y0: -591445232537904012245993 Y1: 10972872617093 rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [900000, 1200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 188379 x 188605 Total sieving time: 3.66 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.08 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000 total time: 3.79 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)

8×10¹⁶¹-63×10⁸⁰-89

c152

name 名前	Bob Backstrom
date 日付	May 20, 2022 19:11:02 UTC 2022 年 5 月 21 日 (土) 4 時 11 分 2 秒 (日本時間)
composite number 合成数	72498162662751551288316601152505756787291944383112811285823200843310807784453386275392110825772117521426928035041749129067428490119603488611877324255299<152>
prime factors 素因数	27867387985897493446735933323029048062409303<44> 2601541367976065983607313194101011042356441190476472706088136488882749296639811700843995985299551143256006133<109>
factorization results 素因数分解の結果	Number: n N=72498162662751551288316601152505756787291944383112811285823200843310807784453386275392110825772117521426928035041749129067428490119603488611877324255299 ( 152 digits) SNFS difficulty: 161 digits. Divisors found: Sat May 21 05:06:30 2022 p44 factor: 27867387985897493446735933323029048062409303 Sat May 21 05:06:30 2022 p109 factor: 2601541367976065983607313194101011042356441190476472706088136488882749296639811700843995985299551143256006133 Sat May 21 05:06:30 2022 elapsed time 00:07:47 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.333). Factorization parameters were as follows: # # N = 8x10^161-63x10^80-8 = 8(80)18(80) # n: 72498162662751551288316601152505756787291944383112811285823200843310807784453386275392110825772117521426928035041749129067428490119603488611877324255299 m: 10000000000000000000000000000000000000000 deg: 4 c4: 80 c2: -63 c0: -8 skew: 0.56 # Murphy_E = 3.668e-10 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2032035 hash collisions in 14658226 relations (13937598 unique) Msieve: matrix is 530927 x 531154 (181.2 MB) Sieving start time : 2022/05/21 03:39:50 Sieving end time : 2022/05/21 04:58:10 Total sieving time: 1hrs 18min 20secs. Total relation processing time: 0hrs 4min 4sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 22sec. Prototype def-par.txt line would be: snfs,161,4,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved) [ 0.154085] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292) [ 0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

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

8×10¹⁶⁵-63×10⁸²-89

c147

name 名前	Bob Backstrom
date 日付	May 22, 2022 11:48:01 UTC 2022 年 5 月 22 日 (日) 20 時 48 分 1 秒 (日本時間)
composite number 合成数	134324327100812648559505669555454419744623043636831305878649425090132873615869652812116044727966869073162666107516785787632922999693173599014305117<147>
prime factors 素因数	3148528249900985463145246845893178546913<40> 42662576429173492029385726965417294317444140462555084666911758796626698337550344495471592447333567650893309<107>
factorization results 素因数分解の結果	Number: n N=134324327100812648559505669555454419744623043636831305878649425090132873615869652812116044727966869073162666107516785787632922999693173599014305117 ( 147 digits) SNFS difficulty: 165 digits. Divisors found: Sun May 22 21:43:57 2022 p40 factor: 3148528249900985463145246845893178546913 Sun May 22 21:43:57 2022 p107 factor: 42662576429173492029385726965417294317444140462555084666911758796626698337550344495471592447333567650893309 Sun May 22 21:43:57 2022 elapsed time 00:10:52 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.327). Factorization parameters were as follows: # # N = 8x10^165-63x10^82-8 = 8(82)18(82) # n: 134324327100812648559505669555454419744623043636831305878649425090132873615869652812116044727966869073162666107516785787632922999693173599014305117 m: 100000000000000000000000000000000000000000 deg: 4 c4: 80 c2: -63 c0: -8 skew: 0.56 # Murphy_E = 2.257e-10 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 36450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1902907 hash collisions in 14678633 relations (14119992 unique) Msieve: matrix is 687529 x 687760 (233.9 MB) Sieving start time : 2022/05/22 17:55:05 Sieving end time : 2022/05/22 21:32:00 Total sieving time: 3hrs 36min 55secs. Total relation processing time: 0hrs 6min 51sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 29sec. Prototype def-par.txt line would be: snfs,165,4,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118046] 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)

8×10¹⁶⁷-63×10⁸³-89

c120

name 名前	Eric Jeancolas
date 日付	May 22, 2022 17:34:15 UTC 2022 年 5 月 23 日 (月) 2 時 34 分 15 秒 (日本時間)
composite number 合成数	478780269150293085342127669804093262925698999424695242189067596672176023021409108564005512080359362570439152001733865673<120>
prime factors 素因数	204199692943171856692132186822851361241867544762567796783<57> 2344666939746751500763891605084626740393424733429354186002333831<64>
factorization results 素因数分解の結果	478780269150293085342127669804093262925698999424695242189067596672176023021409108564005512080359362570439152001733865673=2041996929431718566921321868228513612418675447625677967832344666939746751500763891605084626740393424733429354186002333831 cado polynomial n: 478780269150293085342127669804093262925698999424695242189067596672176023021409108564005512080359362570439152001733865673 skew: 84527.838 c0: -5844388802821211528431828230 c1: 3785124406424927823713009 c2: 126086738057358053448 c3: -1208789112338957 c4: -5989327350 c5: 37800 Y0: -208722927778469038673920 Y1: 51254407482464803 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.559e-06 # f(x) = 37800x^5-5989327350x^4-1208789112338957x^3+126086738057358053448x^2+3785124406424927823713009x-5844388802821211528431828230 # g(x) = 51254407482464803*x-208722927778469038673920 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 5500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 204199692943171856692132186822851361241867544762567796783 2344666939746751500763891605084626740393424733429354186002333831 Info:Square Root: Total cpu/real time for sqrt: 320.04/109.923 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13445754 Info:Lattice Sieving: Average J: 1910.63 for 236543 special-q, max bucket fill -bkmult 1.0,1s:1.303320 Info:Lattice Sieving: Total time: 39949.4s Info:Generate Factor Base: Total cpu/real time for makefb: 5.1/2.25574 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 1662.9 Info:Polynomial Selection (root optimized): Rootsieve time: 1660.33 Info:Generate Free Relations: Total cpu/real time for freerel: 125.7/41.9072 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.06/72.3298 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.2s Info:Filtering - Merging: Merged matrix has 650931 rows and total weight 66209511 (101.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 50.7/20.2631 Info:Filtering - Merging: Total cpu/real time for replay: 16.26/13.071 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 136.04/138.096 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.6s Info:Linear Algebra: Total cpu/real time for bwc: 4423.17/1801.78 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2413.32, WCT time 992.25, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (20480 iterations) Info:Linear Algebra: Lingen CPU time 545.98, WCT time 194.87 Info:Linear Algebra: Mksol: CPU time 1403.52, WCT time 585.1, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (10240 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 20.18/9.94051 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19893.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20261/35.660/42.791/47.560/1.053 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16150/33.480/37.863/43.270/0.850 Info:Polynomial Selection (size optimized): Total time: 2276.62 Info:Square Root: Total cpu/real time for sqrt: 320.04/109.923 Info:Filtering - Singleton removal: Total cpu/real time for purge: 52.6/88.5521 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 63795.7/23912.2 Info:root: Cleaning up computation data in /tmp/cado.z3ud8_7x 204199692943171856692132186822851361241867544762567796783 2344666939746751500763891605084626740393424733429354186002333831
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)

8×10¹⁶⁹-63×10⁸⁴-89

c167

name 名前	Bob Backstrom
date 日付	May 20, 2022 17:42:24 UTC 2022 年 5 月 21 日 (土) 2 時 42 分 24 秒 (日本時間)
composite number 合成数	65359477124183006535947712418300653594771241830065359477124183006535947712418300653543300653594771241830065359477124183006535947712418300653594771241830065359477124183<167>
prime factors 素因数	8818585973948443457979857387294299901<37> 24950133492572652090850169072788579242053<41> 297054914859216576187690860651788396679402497269746767505550712152412361006774870804098311<90>
factorization results 素因数分解の結果	Number: n N=65359477124183006535947712418300653594771241830065359477124183006535947712418300653543300653594771241830065359477124183006535947712418300653594771241830065359477124183 ( 167 digits) SNFS difficulty: 169 digits. Divisors found: Sat May 21 03:35:55 2022 found factor: 220024897265742480298535085219352237925199091270835664920736433760377852936753 Sat May 21 03:37:15 2022 p37 factor: 8818585973948443457979857387294299901 Sat May 21 03:37:15 2022 p41 factor: 24950133492572652090850169072788579242053 Sat May 21 03:37:15 2022 p90 factor: 297054914859216576187690860651788396679402497269746767505550712152412361006774870804098311 Sat May 21 03:37:15 2022 elapsed time 00:10:52 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 8x10^169-63x10^84-8 = 8(84)18(84) n: 65359477124183006535947712418300653594771241830065359477124183006535947712418300653543300653594771241830065359477124183006535947712418300653594771241830065359477124183 m: 10000000000000000000000000000 deg: 6 c6: 80 c3: -63 c0: -8 skew: 0.68 # Murphy_E = 1.463e-10 type: snfs lss: 1 rlim: 4800000 alim: 4800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4800000/4800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1481444 hash collisions in 15153085 relations (14494251 unique) Msieve: matrix is 552271 x 552499 (189.7 MB) Sieving start time : 2022/05/21 01:48:20 Sieving end time : 2022/05/21 03:26:04 Total sieving time: 1hrs 37min 44secs. Total relation processing time: 0hrs 4min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 39sec. Prototype def-par.txt line would be: snfs,169,6,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000 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)

8×10¹⁷³-63×10⁸⁶-89

c139

name 名前	Bob Backstrom
date 日付	June 8, 2022 09:30:24 UTC 2022 年 6 月 8 日 (水) 18 時 30 分 24 秒 (日本時間)
composite number 合成数	3803695458141112297364344485760283674812189570525432270869537833415739760487394010737589035850927762470968393052549022228587120409046790919<139>
prime factors 素因数	49129502395558010922449098465468844018605829<44> 77421819327952712445612510707826331755053749902418529082063546549039935485094836385284826509211<95>
factorization results 素因数分解の結果	Number: n N=3803695458141112297364344485760283674812189570525432270869537833415739760487394010737589035850927762470968393052549022228587120409046790919 ( 139 digits) SNFS difficulty: 174 digits. Divisors found: Wed Jun 8 18:57:08 2022 p44 factor: 49129502395558010922449098465468844018605829 Wed Jun 8 18:57:08 2022 p95 factor: 77421819327952712445612510707826331755053749902418529082063546549039935485094836385284826509211 Wed Jun 8 18:57:08 2022 elapsed time 00:13:01 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 8x10^173-63x10^86-8 = 8(86)18(86) # n: 3803695458141112297364344485760283674812189570525432270869537833415739760487394010737589035850927762470968393052549022228587120409046790919 m: 100000000000000000000000000000 deg: 6 c6: 8 c3: -63 c0: -80 skew: 1.47 # Murphy_E = 1.023e-10 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1017329 hash collisions in 11742004 relations (11310545 unique) Msieve: matrix is 737192 x 737417 (255.9 MB) Sieving start time : 2022/06/08 15:06:43 Sieving end time : 2022/06/08 18:43:29 Total sieving time: 3hrs 36min 46secs. Total relation processing time: 0hrs 8min 14sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 51sec. Prototype def-par.txt line would be: snfs,174,6,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved) [ 0.154118] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204) [ 0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

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

8×10¹⁷⁷-63×10⁸⁸-89

c173

name 名前	Bob Backstrom
date 日付	May 25, 2022 07:19:05 UTC 2022 年 5 月 25 日 (水) 16 時 19 分 5 秒 (日本時間)
composite number 合成数	70726359714265506754367352712355895042082184029987976518848574863851757550038899497842840459014074545583138835844119103189758823113374354621967607327250866397906499752457741<173>
prime factors 素因数	3014100248925837184113437705023891773755792396697774414673006080421984931<73> 23465165015487097511984155974948616775090068920605544712935267992414871459452142803847148222907418511<101>
factorization results 素因数分解の結果	Number: n N=70726359714265506754367352712355895042082184029987976518848574863851757550038899497842840459014074545583138835844119103189758823113374354621967607327250866397906499752457741 ( 173 digits) SNFS difficulty: 177 digits. Divisors found: Wed May 25 17:14:53 2022 p73 factor: 3014100248925837184113437705023891773755792396697774414673006080421984931 Wed May 25 17:14:53 2022 p101 factor: 23465165015487097511984155974948616775090068920605544712935267992414871459452142803847148222907418511 Wed May 25 17:14:53 2022 elapsed time 00:18:02 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.332). Factorization parameters were as follows: # # N = 8x10^177-63x10^88-8 = 8(88)18(88) # n: 70726359714265506754367352712355895042082184029987976518848574863851757550038899497842840459014074545583138835844119103189758823113374354621967607327250866397906499752457741 m: 100000000000000000000000000000 deg: 6 c6: 4000 c3: -315 c0: -4 skew: 0.32 # Murphy_E = 5.883e-11 type: snfs lss: 1 rlim: 6400000 alim: 6400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6400000/6400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved special-q in [100000, 16000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3502147 hash collisions in 28892945 relations (27517078 unique) Msieve: matrix is 817685 x 817910 (278.7 MB) Sieving start time : 2022/05/25 13:15:21 Sieving end time : 2022/05/25 16:56:05 Total sieving time: 3hrs 40min 44secs. Total relation processing time: 0hrs 9min 53sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 12sec. Prototype def-par.txt line would be: snfs,177,6,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000 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)

8×10¹⁷⁹-63×10⁸⁹-89

c127

name 名前	Taiyo Kodama
date 日付	May 25, 2022 13:57:46 UTC 2022 年 5 月 25 日 (水) 22 時 57 分 46 秒 (日本時間)
composite number 合成数	6029771616901537063892558444561667411449879632614753293489521747507227268139005605235844940833823865691250247169718219358356001<127>
prime factors 素因数	22051360742695256269611910746093077629033495009<47> 273442155668282826316478058713163264199747526669868077056431693938864735718477889<81>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), 6 threads GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM] Run 1756 out of 2078: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1747200074 Step 1 took 2938ms Step 2 took 1734ms ********** Factor found in step 2: 22051360742695256269611910746093077629033495009 Found prime factor of 47 digits: 22051360742695256269611910746093077629033495009

ECM

level 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)

8×10¹⁸³-63×10⁹¹-89

c154

name 名前	Eric Jeancolas
date 日付	July 23, 2022 11:38:44 UTC 2022 年 7 月 23 日 (土) 20 時 38 分 44 秒 (日本時間)
composite number 合成数	7423054419844324231736745835232401695331638727492117429917183339007482101733315959473565909603374275521727943135386038316791134418471172228857415662876107<154>
prime factors 素因数	663616971288364244510627598900158363275071837560122151804021800043813945863<75> 11185751330971843846798340778171483949539558994725028299195436101344723189116189<80>
factorization results 素因数分解の結果	7423054419844324231736745835232401695331638727492117429917183339007482101733315959473565909603374275521727943135386038316791134418471172228857415662876107=66361697128836424451062759890015836327507183756012215180402180004381394586311185751330971843846798340778171483949539558994725028299195436101344723189116189 cado polynomial n: 7423054419844324231736745835232401695331638727492117429917183339007482101733315959473565909603374275521727943135386038316791134418471172228857415662876107 skew: 0.32 type: snfs c0: -4 c3: -315 c6: 4000 Y0: 1000000000000000000000000000000 Y1: -1 # f(x) = 4000x^6-315*x^3-4 # g(x) = -x+1000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 8000000 tasks.lim1 = 8000000 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: 663616971288364244510627598900158363275071837560122151804021800043813945863 11185751330971843846798340778171483949539558994725028299195436101344723189116189 Info:Square Root: Total cpu/real time for sqrt: 361.94/109.298 Info:Filtering - Singleton removal: Total cpu/real time for purge: 114.15/120.361 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22407882 Info:Lattice Sieving: Average J: 1891.9 for 1489794 special-q, max bucket fill -bkmult 1.0,1s:1.190960 Info:Lattice Sieving: Total time: 232296s Info:Generate Free Relations: Total cpu/real time for freerel: 239.39/61.4851 Info:Linear Algebra: Total cpu/real time for bwc: 24365.6/6250.82 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 15491.93, WCT time 3960.49, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39168 iterations) Info:Linear Algebra: Lingen CPU time 240.48, WCT time 61.04 Info:Linear Algebra: Mksol: CPU time 8424.28, WCT time 2152.59, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19712 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.48/105.171 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.1s Info:Filtering - Merging: Merged matrix has 1248166 rows and total weight 212486587 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 304.62/84.9888 Info:Filtering - Merging: Total cpu/real time for replay: 45.02/38.5094 Info:Generate Factor Base: Total cpu/real time for makefb: 6.94/2.95738 Info:Quadratic Characters: Total cpu/real time for characters: 41.66/17.2836 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 232.98/196.741 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 181.5s Info:Square Root: Total cpu/real time for sqrt: 361.94/109.298 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 454829/123567 Info:root: Cleaning up computation data in /tmp/cado.afdgrpph 663616971288364244510627598900158363275071837560122151804021800043813945863 11185751330971843846798340778171483949539558994725028299195436101344723189116189
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 11:22:04 UTC 2022 年 6 月 9 日 (木) 20 時 22 分 4 秒 (日本時間)

8×10¹⁹¹-63×10⁹⁵-89

c145

name 名前	Eric Jeancolas
date 日付	January 3, 2023 19:21:14 UTC 2023 年 1 月 4 日 (水) 4 時 21 分 14 秒 (日本時間)
composite number 合成数	3775034132437128172346422254283633181611323716552834861286087641659188892220421061454723451603850790330165812398962752918275996255799934826614773<145>
prime factors 素因数	696995308196636482589127334864237661537898696235260606308221<60> 5416154295506555465245714730599840490992552160576938331801659380206825043031112829913<85>
factorization results 素因数分解の結果	3775034132437128172346422254283633181611323716552834861286087641659188892220421061454723451603850790330165812398962752918275996255799934826614773=6969953081966364825891273348642376615378986962352606063082215416154295506555465245714730599840490992552160576938331801659380206825043031112829913 cado polynomial n: 3775034132437128172346422254283633181611323716552834861286087641659188892220421061454723451603850790330165812398962752918275996255799934826614773 skew: 1.47 type: snfs c0: -80 c3: -63 c6: 8 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 8x^6-63*x^3-80 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11500000 tasks.lim1 = 11500000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.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: 696995308196636482589127334864237661537898696235260606308221 5416154295506555465245714730599840490992552160576938331801659380206825043031112829913 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 543.6/170.908 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.61/106.525 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.4s Info:Quadratic Characters: Total cpu/real time for characters: 65.45/28.1104 Info:Filtering - Singleton removal: Total cpu/real time for purge: 351.34/338.192 Info:Filtering - Merging: Merged matrix has 1839121 rows and total weight 313662439 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 538.39/152.697 Info:Filtering - Merging: Total cpu/real time for replay: 71.13/86.7172 Info:Generate Factor Base: Total cpu/real time for makefb: 8.91/3.95478 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24907406 Info:Lattice Sieving: Average J: 1891.19 for 1598942 special-q, max bucket fill -bkmult 1.0,1s:1.179670 Info:Lattice Sieving: Total time: 307040s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 493.85/504.487 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 358.20000000000005s Info:Linear Algebra: Total cpu/real time for bwc: 62886.9/17168.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 40328.03, WCT time 10771.7, iteration CPU time 0.17, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57600 iterations) Info:Linear Algebra: Lingen CPU time 278.64, WCT time 284.21 Info:Linear Algebra: Mksol: CPU time 21847.71, WCT time 5874.42, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28928 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 226.11/60.1682 Info:Square Root: Total cpu/real time for sqrt: 543.6/170.908 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 633370/171897 Info:root: Cleaning up computation data in /tmp/cado.dogp8yym 696995308196636482589127334864237661537898696235260606308221 5416154295506555465245714730599840490992552160576938331801659380206825043031112829913
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	2350		Ignacio Santos	June 24, 2022 18:55:28 UTC 2022 年 6 月 25 日 (土) 3 時 55 分 28 秒 (日本時間)

8×10¹⁹³-63×10⁹⁶-89

c171

name 名前	Bob Backstrom
date 日付	July 19, 2022 17:44:49 UTC 2022 年 7 月 20 日 (水) 2 時 44 分 49 秒 (日本時間)
composite number 合成数	603137833085611062837813695394781458806081558581091708429200131137454212371765195336384968645092432515645474791086148709992321118684197336808316400398642233631735809344377<171>
prime factors 素因数	110929821911842089409290461520011908817976138595996413953<57> 5437111704415567081207266395129304364228912283920286787104037523347426847237703885318324426195170269426799642399609<115>
factorization results 素因数分解の結果	Number: n N=603137833085611062837813695394781458806081558581091708429200131137454212371765195336384968645092432515645474791086148709992321118684197336808316400398642233631735809344377 ( 171 digits) SNFS difficulty: 193 digits. Divisors found: Tue Jul 19 23:59:57 2022 p57 factor: 110929821911842089409290461520011908817976138595996413953 Tue Jul 19 23:59:57 2022 p115 factor: 5437111704415567081207266395129304364228912283920286787104037523347426847237703885318324426195170269426799642399609 Tue Jul 19 23:59:57 2022 elapsed time 00:48:30 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.351). Factorization parameters were as follows: # # N = 8x10^193-63x10^96-8 = 8(96)18(96) # n: 603137833085611062837813695394781458806081558581091708429200131137454212371765195336384968645092432515645474791086148709992321118684197336808316400398642233631735809344377 m: 100000000000000000000000000000000 deg: 6 c6: 80 c3: -63 c0: -8 skew: 0.68 # Murphy_E = 2.537e-11 type: snfs lss: 1 rlim: 11900000 alim: 11900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11900000/11900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3041939 hash collisions in 28878695 relations (27277470 unique) Msieve: matrix is 1455133 x 1455358 (505.2 MB) Sieving start time : 2022/07/20 00:14:10 Sieving end time : 2022/07/19 23:09:30 Total sieving time: -1hrs -5min 20secs. Total relation processing time: 0hrs 38min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 2sec. Prototype def-par.txt line would be: snfs,193,6,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved) [ 0.153505] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328) [ 0.152037] smpboot: Total of 16 processors activated (102386.62 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)
40	3e6	2350		Ignacio Santos	July 18, 2022 13:24:16 UTC 2022 年 7 月 18 日 (月) 22 時 24 分 16 秒 (日本時間)

8×10¹⁹⁵-63×10⁹⁷-89

c143

name 名前	Eric Jeancolas
date 日付	January 3, 2023 19:12:02 UTC 2023 年 1 月 4 日 (水) 4 時 12 分 2 秒 (日本時間)
composite number 合成数	45773547487345967762813650227433410063989756047478553667481097110192225103707577254621290380125230893059315690635036032603090852487279324346521<143>
prime factors 素因数	88470224022621574432695014028570975182931284923458661951<56> 517389302367334428232382997361468740129914074184837431401739257706809744638975620748071<87>
factorization results 素因数分解の結果	45773547487345967762813650227433410063989756047478553667481097110192225103707577254621290380125230893059315690635036032603090852487279324346521=88470224022621574432695014028570975182931284923458661951517389302367334428232382997361468740129914074184837431401739257706809744638975620748071 cado polynomial n: 45773547487345967762813650227433410063989756047478553667481097110192225103707577254621290380125230893059315690635036032603090852487279324346521 skew: 0.32 type: snfs c0: -4 c3: -315 c6: 4000 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 4000x^6-315*x^3-4 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12700000 tasks.lim1 = 12700000 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: 88470224022621574432695014028570975182931284923458661951 517389302367334428232382997361468740129914074184837431401739257706809744638975620748071 Info:Square Root: Total cpu/real time for sqrt: 800.25/246.355 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.75/120.488 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.7s Info:Filtering - Singleton removal: Total cpu/real time for purge: 424.58/415.841 Info:Quadratic Characters: Total cpu/real time for characters: 82.29/35.768 Info:Generate Free Relations: Total cpu/real time for freerel: 239.19/61.1922 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 27659085 Info:Lattice Sieving: Average J: 1891.31 for 3111197 special-q, max bucket fill -bkmult 1.0,1s:1.176150 Info:Lattice Sieving: Total time: 573232s Info:Square Root: Total cpu/real time for sqrt: 800.25/246.355 Info:Generate Factor Base: Total cpu/real time for makefb: 10.96/3.9687 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 561.46/616.274 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 519.6s Info:Filtering - Merging: Merged matrix has 2392098 rows and total weight 407485250 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 645.1/177.224 Info:Filtering - Merging: Total cpu/real time for replay: 91.49/82.7254 Info:Linear Algebra: Total cpu/real time for bwc: 99010.8/25387.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 63472.12, WCT time 16202.78, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations) Info:Linear Algebra: Lingen CPU time 515.95, WCT time 130.69 Info:Linear Algebra: Mksol: CPU time 34180.99, WCT time 8771.45, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.19751e+06/105697 88470224022621574432695014028570975182931284923458661951 517389302367334428232382997361468740129914074184837431401739257706809744638975620748071
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	2350		Ignacio Santos	July 19, 2022 10:53:35 UTC 2022 年 7 月 19 日 (火) 19 時 53 分 35 秒 (日本時間)

8×10²⁰³-63×10¹⁰¹-89

c177

name 名前	Bob Backstrom
date 日付	August 6, 2023 19:03:51 UTC 2023 年 8 月 7 日 (月) 4 時 3 分 51 秒 (日本時間)
composite number 合成数	126966341537803028614825793012150536560957508848735319659775779340299803668880413730104972327166570043259299335107872697022204759964176763534962066603515496309200290957786659323<177>
prime factors 素因数	313170973468115002406124841792633730949785705827<48> 405421805641032379752763493208141987398391711638798049798061397742523247649160826580520713638274444011009212063784897938304909449<129>
factorization results 素因数分解の結果	Number: n N=126966341537803028614825793012150536560957508848735319659775779340299803668880413730104972327166570043259299335107872697022204759964176763534962066603515496309200290957786659323 ( 177 digits) SNFS difficulty: 204 digits. Divisors found: Mon Aug 7 04:55:33 2023 prp48 factor: 313170973468115002406124841792633730949785705827 Mon Aug 7 04:55:33 2023 prp129 factor: 405421805641032379752763493208141987398391711638798049798061397742523247649160826580520713638274444011009212063784897938304909449 Mon Aug 7 04:55:33 2023 elapsed time 02:22:22 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.095). Factorization parameters were as follows: # # N = 8x10^203-63x10^101-8 = 8(101)18(101) # n: 126966341537803028614825793012150536560957508848735319659775779340299803668880413730104972327166570043259299335107872697022204759964176763534962066603515496309200290957786659323 m: 5000000000000000000000000000000000 deg: 6 c6: 64 c3: -63 c0: -10 skew: 0.73 # Murphy_E = 1.107e-11 type: snfs lss: 1 rlim: 17600000 alim: 17600000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17600000/17600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 34400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2913964 hash collisions in 17555250 relations (15271102 unique) Msieve: matrix is 2137694 x 2137919 (603.3 MB) Sieving start time: 2023/08/06 13:49:53 Sieving end time : 2023/08/07 02:32:35 Total sieving time: 12hrs 42min 42secs. Total relation processing time: 2hrs 11min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 18sec. Prototype def-par.txt line would be: snfs,204,6,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000 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	3350	1000	Dmitry Domanov	July 24, 2022 19:09:38 UTC 2022 年 7 月 25 日 (月) 4 時 9 分 38 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	August 28, 2022 07:43:00 UTC 2022 年 8 月 28 日 (日) 16 時 43 分 0 秒 (日本時間)

8×10²¹³-63×10¹⁰⁶-89

c213

name 名前	ebina
date 日付	May 30, 2022 21:25:49 UTC 2022 年 5 月 31 日 (火) 6 時 25 分 49 秒 (日本時間)
composite number 合成数	111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111102361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<213>
prime factors 素因数	136758687537698674246019959163761358348073804106630846401098519821023297409<75> 812461080986042700076724901622847537088314063771892554437080926381018800229469575552982518716446730390039862783173154094564477646086526279<138>
factorization results 素因数分解の結果	Tue May 31 05:43:17 2022 Msieve v. 1.53 (SVN unknown) Tue May 31 05:43:17 2022 random seeds: 0325a6b4 13e0e866 Tue May 31 05:43:17 2022 factoring 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111102361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (213 digits) Tue May 31 05:43:18 2022 searching for 15-digit factors Tue May 31 05:43:18 2022 commencing number field sieve (213-digit input) Tue May 31 05:43:18 2022 R0: -100000000000000000000000000000000000 Tue May 31 05:43:18 2022 R1: 1 Tue May 31 05:43:18 2022 A0: -4 Tue May 31 05:43:18 2022 A1: 0 Tue May 31 05:43:18 2022 A2: 0 Tue May 31 05:43:18 2022 A3: -315 Tue May 31 05:43:18 2022 A4: 0 Tue May 31 05:43:18 2022 A5: 0 Tue May 31 05:43:18 2022 A6: 4000 Tue May 31 05:43:18 2022 skew 0.32, size 1.280e-10, alpha -1.238, combined = 3.984e-12 rroots = 2 Tue May 31 05:43:18 2022 Tue May 31 05:43:18 2022 commencing square root phase Tue May 31 05:43:18 2022 reading relations for dependency 1 Tue May 31 05:43:19 2022 read 2354025 cycles Tue May 31 05:43:22 2022 cycles contain 7592060 unique relations Tue May 31 05:44:16 2022 read 7592060 relations Tue May 31 05:44:50 2022 multiplying 7592060 relations Tue May 31 05:49:15 2022 multiply complete, coefficients have about 267.67 million bits Tue May 31 05:49:16 2022 error: relation product is incorrect Tue May 31 05:49:16 2022 algebraic square root failed Tue May 31 05:49:16 2022 reading relations for dependency 2 Tue May 31 05:49:17 2022 read 2355164 cycles Tue May 31 05:49:20 2022 cycles contain 7591598 unique relations Tue May 31 05:50:13 2022 read 7591598 relations Tue May 31 05:50:47 2022 multiplying 7591598 relations Tue May 31 05:55:07 2022 multiply complete, coefficients have about 267.66 million bits Tue May 31 05:55:08 2022 initial square root is modulo 63521 Tue May 31 05:59:58 2022 GCD is N, no factor found Tue May 31 05:59:58 2022 reading relations for dependency 3 Tue May 31 05:59:59 2022 read 2353385 cycles Tue May 31 06:00:01 2022 cycles contain 7589314 unique relations Tue May 31 06:00:52 2022 read 7589314 relations Tue May 31 06:01:24 2022 multiplying 7589314 relations Tue May 31 06:05:29 2022 multiply complete, coefficients have about 267.58 million bits Tue May 31 06:05:30 2022 initial square root is modulo 63299 Tue May 31 06:09:48 2022 sqrtTime: 1590 Tue May 31 06:09:48 2022 p75 factor: 136758687537698674246019959163761358348073804106630846401098519821023297409 Tue May 31 06:09:48 2022 p138 factor: 812461080986042700076724901622847537088314063771892554437080926381018800229469575552982518716446730390039862783173154094564477646086526279 Tue May 31 06:09:48 2022 elapsed time 00:26:31

ECM

level 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)

8×10²¹⁷-63×10¹⁰⁸-89

c211

composite cofactor 合成数の残り	2204843644615363923775027455815484572819260808529393542321643031845218212273085760259854052579788330600429634096275379679587711877206083869165460065982150908759380782891471642734191326189198956050631147517489371<211>

composite cofactor 合成数の残り

2204843644615363923775027455815484572819260808529393542321643031845218212273085760259854052579788330600429634096275379679587711877206083869165460065982150908759380782891471642734191326189198956050631147517489371<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 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	4142	1792	Dmitry Domanov	July 29, 2022 11:30:10 UTC 2022 年 7 月 29 日 (金) 20 時 30 分 10 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 08:01:21 UTC 2022 年 8 月 28 日 (日) 17 時 1 分 21 秒 (日本時間)
45	11e6	2651		Rytis Slatkevičius	January 26, 2024 07:53:59 UTC 2024 年 1 月 26 日 (金) 16 時 53 分 59 秒 (日本時間)
50	43e6	0 / 5569		-	-
55	11e7	509 / 17570		Rytis Slatkevičius	January 26, 2024 11:18:21 UTC 2024 年 1 月 26 日 (金) 20 時 18 分 21 秒 (日本時間)

8×10²¹⁹-63×10¹⁰⁹-89

c201

name 名前	Dmitry Domanov
date 日付	July 31, 2022 16:33:55 UTC 2022 年 8 月 1 日 (月) 1 時 33 分 55 秒 (日本時間)
composite number 合成数	198197433844103317663457222738402336394443713204393659349285666074584548638818579158903897667148546609305259585605877930409047288375540798633803313472834556917225637256625746475912627125251604615258163<201>
prime factors 素因数	318266906730430704148111331366330116871<39>
composite cofactor 合成数の残り	622739686887945332490588701968788498897983902771028777143686619838795503055367425336304924522670804977752628937351905378654499534059229823401906405318043658984053<162>
factorization results 素因数分解の結果	Resuming ECM residue saved by @15051e7e3575 with GMP-ECM 7.0.5-dev on Sat Jul 30 10:42:15 2022 Input number is 198197433844103317663457222738402336394443713204393659349285666074584548638818579158903897667148546609305259585605877930409047288375540798633803313472834556917225637256625746475912627125251604615258163 (201 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:192758689 Step 1 took 0ms Step 2 took 6694ms ********** Factor found in step 2: 318266906730430704148111331366330116871 Found prime factor of 39 digits: 318266906730430704148111331366330116871 Composite cofactor 622739686887945332490588701968788498897983902771028777143686619838795503055367425336304924522670804977752628937351905378654499534059229823401906405318043658984053 has 162 digits

c162

name 名前	Ignacio Santos
date 日付	August 28, 2022 08:01:46 UTC 2022 年 8 月 28 日 (日) 17 時 1 分 46 秒 (日本時間)
composite number 合成数	622739686887945332490588701968788498897983902771028777143686619838795503055367425336304924522670804977752628937351905378654499534059229823401906405318043658984053<162>
prime factors 素因数	16763284959804841199326779784337116133399<41> 37149024691828378463335850405440907465218727185204798535013951399269355311442802131881474779157743027739399899811003665747<122>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2888797198 Step 1 took 7234ms Step 2 took 3735ms ********** Factor found in step 2: 16763284959804841199326779784337116133399 Found prime factor of 41 digits: 16763284959804841199326779784337116133399 Prime cofactor 37149024691828378463335850405440907465218727185204798535013951399269355311442802131881474779157743027739399899811003665747 has 122 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)
40	3e6	1792 / 2078		Dmitry Domanov	July 29, 2022 11:30:18 UTC 2022 年 7 月 29 日 (金) 20 時 30 分 18 秒 (日本時間)

8×10²²⁷-63×10¹¹³-89

c219

composite cofactor 合成数の残り

508926605744996614034952987675777333352530044902034605614731760028463654347390766627038078657121015321606982375312905253484967811944412776486401962030136119494786319199876583262400415341110067760676673293552678053991077<219>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	4142	1792	Dmitry Domanov	July 29, 2022 11:30:25 UTC 2022 年 7 月 29 日 (金) 20 時 30 分 25 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:51:21 UTC 2022 年 8 月 28 日 (日) 18 時 51 分 21 秒 (日本時間)

8×10²²⁹-63×10¹¹⁴-89

c229

composite cofactor 合成数の残り

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<229>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	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	2400	ebina	June 4, 2022 21:32:20 UTC 2022 年 6 月 5 日 (日) 6 時 32 分 20 秒 (日本時間)
45	11e6	4800	ebina	June 4, 2022 21:33:48 UTC 2022 年 6 月 5 日 (日) 6 時 33 分 48 秒 (日本時間)

8×10²³¹-63×10¹¹⁵-89

c153

name 名前	Ignacio Santos
date 日付	June 3, 2022 14:20:17 UTC 2022 年 6 月 3 日 (金) 23 時 20 分 17 秒 (日本時間)
composite number 合成数	474350663906258784131642249411056590490556032005243693650170265583485899179194390643076962494364488782875999185665319141424707993638217560627745284675403<153>
prime factors 素因数	7939157835371637641874550993263257<34>
composite cofactor 合成数の残り	59748234478078504048791393016186996473423289218238985251243719492665659775028382230791856650162538774729147424515093379<119>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3828766587 Step 1 took 4797ms ********** Factor found in step 2: 7939157835371637641874550993263257 Found prime factor of 34 digits: 7939157835371637641874550993263257 Composite cofactor 59748234478078504048791393016186996473423289218238985251243719492665659775028382230791856650162538774729147424515093379 has 119 digits
software ソフトウェア	GMP-ECM

c119

name 名前	Ignacio Santos
date 日付	June 4, 2022 16:42:01 UTC 2022 年 6 月 5 日 (日) 1 時 42 分 1 秒 (日本時間)
composite number 合成数	59748234478078504048791393016186996473423289218238985251243719492665659775028382230791856650162538774729147424515093379<119>
prime factors 素因数	2171777760050271260568265556571554393<37> 27511210206285324899893484789220891196643846038358101767104958967736314717599961403<83>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2060220255 Step 1 took 4843ms Step 2 took 2969ms ********** Factor found in step 2: 2171777760050271260568265556571554393 Found prime factor of 37 digits: 2171777760050271260568265556571554393 Prime cofactor 27511210206285324899893484789220891196643846038358101767104958967736314717599961403 has 83 digits
software ソフトウェア	GMP-ECM

ECM

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

8×10²³³-63×10¹¹⁶-89

c231

composite cofactor 合成数の残り

217864923747276688453159041394335511982570806100217864923747276688453159041394335511982570806100217864923747276688451443355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061<231>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	4142	1792	Dmitry Domanov	July 27, 2022 11:56:45 UTC 2022 年 7 月 27 日 (水) 20 時 56 分 45 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:52:01 UTC 2022 年 8 月 28 日 (日) 18 時 52 分 1 秒 (日本時間)

8×10²³⁵-63×10¹¹⁷-89

c206

name 名前	Ignacio Santos
date 日付	August 28, 2022 09:52:45 UTC 2022 年 8 月 28 日 (日) 18 時 52 分 45 秒 (日本時間)
composite number 合成数	35941612548278273449049535076691976370016347002327736516160625966981121490766152853642012845380173408363785899001830390537223385511726001834934937214031674638132160215581575113919913881803998505382076268489<206>
prime factors 素因数	1822717406941403501558581287146974251323<40> 19718697155907350182129723704078106976604123925149167738512505818628468184835085675887954499829341828725873048016112788991699307687293819037017131304645719632329239243<167>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:915278352 Step 1 took 10000ms Step 2 took 4594ms ********** Factor found in step 2: 1822717406941403501558581287146974251323 Found prime factor of 40 digits: 1822717406941403501558581287146974251323 Prime cofactor 19718697155907350182129723704078106976604123925149167738512505818628468184835085675887954499829341828725873048016112788991699307687293819037017131304645719632329239243 has 167 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)
40	3e6	1792 / 2078		Dmitry Domanov	July 29, 2022 11:31:00 UTC 2022 年 7 月 29 日 (金) 20 時 31 分 0 秒 (日本時間)

8×10²³⁷-63×10¹¹⁸-89

c215

name 名前	Dmitry Domanov
date 日付	July 31, 2022 20:15:24 UTC 2022 年 8 月 1 日 (月) 5 時 15 分 24 秒 (日本時間)
composite number 合成数	56918542377134332360140473139734644916465985761188742202996686498260742090939163159085587134438514666024456942806721886647859503950611698991306942480433495983792538619553264488984216646364543669646815570731699021207<215>
prime factors 素因数	47661288151486712705225232014458692351083<41>
composite cofactor 合成数の残り	1194230046746205187840294810355011795495819564878702122324511380742948267915040471686564047757496824177100894610085234675475722011738028589564783387239370256734081275141930629<175>
factorization results 素因数分解の結果	Resuming ECM residue saved by @5d281748735e with GMP-ECM 7.0.5-dev on Sun Jul 31 09:23:03 2022 Input number is 56918542377134332360140473139734644916465985761188742202996686498260742090939163159085587134438514666024456942806721886647859503950611698991306942480433495983792538619553264488984216646364543669646815570731699021207 (215 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1330248227 Step 1 took 0ms Step 2 took 8752ms ********** Factor found in step 2: 47661288151486712705225232014458692351083 Found prime factor of 41 digits: 47661288151486712705225232014458692351083 Composite cofactor 1194230046746205187840294810355011795495819564878702122324511380742948267915040471686564047757496824177100894610085234675475722011738028589564783387239370256734081275141930629 has 175 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	4142	1792	Dmitry Domanov	July 29, 2022 11:31:09 UTC 2022 年 7 月 29 日 (金) 20 時 31 分 9 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:53:12 UTC 2022 年 8 月 28 日 (日) 18 時 53 分 12 秒 (日本時間)

8×10²³⁹-63×10¹¹⁹-89

c208

composite cofactor 合成数の残り

4092935240175346145395834145138559479096476147297971445294204543353006488615531293849179289709092148552409087063962835377866244111865792935939376729933414816059122855882495278435935370980647454329046058677891<208>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 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	4142	1792	Dmitry Domanov	July 29, 2022 11:31:17 UTC 2022 年 7 月 29 日 (金) 20 時 31 分 17 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:53:37 UTC 2022 年 8 月 28 日 (日) 18 時 53 分 37 秒 (日本時間)

8×10²⁴¹-63×10¹²⁰-89

c222

composite cofactor 合成数の残り

581335978118971440316308006877034673292217881207949416025785905923936739794629113594772388972206726464780594891429145475587971762813453528412850491022942391249524766165516540175798336768549488259957307566008748190936967379<222>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	4142	1792	Dmitry Domanov	July 27, 2022 11:56:55 UTC 2022 年 7 月 27 日 (水) 20 時 56 分 55 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:54:00 UTC 2022 年 8 月 28 日 (日) 18 時 54 分 0 秒 (日本時間)

8×10²⁴⁷-63×10¹²³-89

c247

composite cofactor 合成数の残り

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<247>

ECM

level 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	4142	1792	Dmitry Domanov	July 27, 2022 11:57:01 UTC 2022 年 7 月 27 日 (水) 20 時 57 分 1 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:54:31 UTC 2022 年 8 月 28 日 (日) 18 時 54 分 31 秒 (日本時間)

8×10²⁴⁹-63×10¹²⁴-89

c210

composite cofactor 合成数の残り

574331185812179265371249343587808700199514428622660462714473683399291050422118855787059035705173326099762509372398702948618470555119935857589208955061164670103895717969815673559221275589384489406250874383107261<210>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 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	4142	1792	Dmitry Domanov	July 29, 2022 11:31:25 UTC 2022 年 7 月 29 日 (金) 20 時 31 分 25 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 09:54:55 UTC 2022 年 8 月 28 日 (日) 18 時 54 分 55 秒 (日本時間)

8×10²⁵¹-63×10¹²⁵-89

c168

name 名前	Ignacio Santos
date 日付	June 7, 2022 14:15:41 UTC 2022 年 6 月 7 日 (火) 23 時 15 分 41 秒 (日本時間)
composite number 合成数	602601942040495245291387308899930615728452041325803195253356753962696348301894407223191178503641575748136674875251877284618149167778651718968879776733558479148205907609<168>
prime factors 素因数	171927302881015239179324041321469984123401<42> 3504981070153439093990738181772732962276562493988760726460177184815072425165518564183313959564216303473414512749092786118997009<127>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2329975699 Step 1 took 26250ms Step 2 took 12032ms ********** Factor found in step 2: 171927302881015239179324041321469984123401 Found prime factor of 42 digits: 171927302881015239179324041321469984123401 Prime cofactor 3504981070153439093990738181772732962276562493988760726460177184815072425165518564183313959564216303473414512749092786118997009 has 127 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)
40	3e6	2350		Ignacio Santos	June 3, 2022 16:54:58 UTC 2022 年 6 月 4 日 (土) 1 時 54 分 58 秒 (日本時間)

8×10²⁵⁷-63×10¹²⁸-89

c198

composite cofactor 合成数の残り

129072837485244765885324036589064359237652256521931067637220313573579304714704982790035695891907162189965261836830300776039984814655097358404343952899617304048776264397932832394679843603051727563957<198>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 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	3350	1000	Dmitry Domanov	July 24, 2022 19:09:46 UTC 2022 年 7 月 25 日 (月) 4 時 9 分 46 秒 (日本時間)
40	3e6	3350	2350	Ignacio Santos	August 28, 2022 09:55:40 UTC 2022 年 8 月 28 日 (日) 18 時 55 分 40 秒 (日本時間)

8×10²⁵⁹-63×10¹²⁹-89

c219

composite cofactor 合成数の残り

920220181458131687283942431721473544497102338391128941012772692442835993912516343443372618761169077378062101392500245437136755402094251203161389598081016875440454753210232666989243193789209270630904561427127404538768729<219>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	4142	1792	Dmitry Domanov	July 29, 2022 11:31:33 UTC 2022 年 7 月 29 日 (金) 20 時 31 分 33 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 13:01:15 UTC 2022 年 8 月 28 日 (日) 22 時 1 分 15 秒 (日本時間)

8×10²⁶¹-63×10¹³⁰-89

c233

composite cofactor 合成数の残り

34501857964643561355630267467495202074354826239140417172749471593921499919742039185268594801912286618282945766587123666517586086310981627691494433903628796351482002788055569263854113153192712763874636034195459216368053812244928155291<233>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	4142	1792	Dmitry Domanov	July 27, 2022 11:57:09 UTC 2022 年 7 月 27 日 (水) 20 時 57 分 9 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 13:01:40 UTC 2022 年 8 月 28 日 (日) 22 時 1 分 40 秒 (日本時間)

8×10²⁶³-63×10¹³¹-89

c256

composite cofactor 合成数の残り

1054030410442709320663381865214954798485564890154273477233570282531692085716746423566779250816897283777334684473835871633557305309270414590108179673354500161229761733369031235274207012605560750344433422448442445033078267460279891662116680892388101206693013<256>

ECM

level 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	August 28, 2022 13:02:03 UTC 2022 年 8 月 28 日 (日) 22 時 2 分 3 秒 (日本時間)

8×10²⁶⁵-63×10¹³²-89

c261

composite cofactor 合成数の残り

254317031611607029322753744818290480913506777548892449327331451387299407441316344955621677983774573383179471529208311080593067317718067317718267592380661732916253401490297805244017191831336944635182218153149716436509753058162305129574527606113781439943032984919<261>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	August 28, 2022 13:02:25 UTC 2022 年 8 月 28 日 (日) 22 時 2 分 25 秒 (日本時間)

8×10²⁶⁷-63×10¹³³-89

c237

composite cofactor 合成数の残り

288167086563063703644363083840053805120695054808704707095307925530104660744851728287027508786275005693643400814414825163752463895125429746375036251352003009686871126268573225510577872073392075179675138889130387416387708874714164630681311<237>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 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	4142	1792	Dmitry Domanov	July 27, 2022 11:57:18 UTC 2022 年 7 月 27 日 (水) 20 時 57 分 18 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 13:07:28 UTC 2022 年 8 月 28 日 (日) 22 時 7 分 28 秒 (日本時間)

8×10²⁶⁹-63×10¹³⁴-89

c263

composite cofactor 合成数の残り

89641157482481876798985979226558165009649870602989174037410840663738986463288808570411784585127276997451501892773040242604828610588950662851539004212237990101823390784351163855968173803447419634461288017935402789094973909941114723649757655130746110246073941405161<263>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	August 28, 2022 13:34:37 UTC 2022 年 8 月 28 日 (日) 22 時 34 分 37 秒 (日本時間)

8×10²⁷¹-63×10¹³⁵-89

c243

composite cofactor 合成数の残り

508061674310758845054675106035746926008000123230536806322582103062746926967804196714230742839273424045244254611700064064088498625031128758835497085689310420208945408356299528628413706129553311758899387831242617338245543611541023902657755734441<243>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	4142	1792	Dmitry Domanov	July 27, 2022 11:57:26 UTC 2022 年 7 月 27 日 (水) 20 時 57 分 26 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 28, 2022 13:43:14 UTC 2022 年 8 月 28 日 (日) 22 時 43 分 14 秒 (日本時間)

8×10²⁷³-63×10¹³⁶-89

c252

composite cofactor 合成数の残り

208226779926773150992865772793888298923109665262169219344578130667841542763810722370867975331870997894069125052455238708990227171389169984464045904313896454226487804338364240562754564383236744998351741005650633299670550449775106621283313023869854810521<252>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	May 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	August 28, 2022 13:59:22 UTC 2022 年 8 月 28 日 (日) 22 時 59 分 22 秒 (日本時間)

8×10²⁷⁷-63×10¹³⁸-89

c231

name 名前	Dmitry Domanov
date 日付	July 31, 2022 09:15:45 UTC 2022 年 7 月 31 日 (日) 18 時 15 分 45 秒 (日本時間)
composite number 合成数	383905770239867597326568110910046219992394669637013993414749556468045726412165660078446477073050431559610773234939469208464122441676721840752603259285488772967743116281242945729216261372962086005721665001127938610647889859146881683<231>
prime factors 素因数	2361595985984341205232032371826704267168567<43> 162562001510114830600531450382297289317379499137250050912465499020208423791484025533968709000718368474518884487061762179130731391276716009699615881933241852812236860681383178780266975375749<189>
factorization results 素因数分解の結果	Resuming ECM residue saved by @4cfc2b5d47c6 with GMP-ECM 7.0.5-dev on Wed Jul 27 20:15:14 2022 Input number is 383905770239867597326568110910046219992394669637013993414749556468045726412165660078446477073050431559610773234939469208464122441676721840752603259285488772967743116281242945729216261372962086005721665001127938610647889859146881683 (231 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:48811540 Step 1 took 4ms Step 2 took 10288ms ********** Factor found in step 2: 2361595985984341205232032371826704267168567 Found prime factor of 43 digits: 2361595985984341205232032371826704267168567 Prime cofactor 162562001510114830600531450382297289317379499137250050912465499020208423791484025533968709000718368474518884487061762179130731391276716009699615881933241852812236860681383178780266975375749 has 189 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 27, 2022 11:57:33 UTC 2022 年 7 月 27 日 (水) 20 時 57 分 33 秒 (日本時間)

8×10²⁸⁵-63×10¹⁴²-89

c282

name 名前	Ignacio Santos
date 日付	August 27, 2022 14:30:10 UTC 2022 年 8 月 27 日 (土) 23 時 30 分 10 秒 (日本時間)
composite number 合成数	983284169124877089478859390363815142576204523107177974434611602753195673549655850540806293018682399213372664700098328416912487708947885939036304080629301868239921337266470009832841691248770894788593903638151425762045231071779744346116027531956735496558505408062930186823992133726647<282>
prime factors 素因数	230204808402727175928722540050635725475071<42>
composite cofactor 合成数の残り	4271345051162833921378941811085205805203166782321329409874639539649154124033516537607653395779345839575922641771602037636460582347133042874663924443216840037775080994418045116857555667504971981187322337810806059191310978704795232373758755657<241>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:590541155 Step 1 took 13516ms ********** Factor found in step 2: 230204808402727175928722540050635725475071 Found prime factor of 42 digits: 230204808402727175928722540050635725475071 Composite cofactor 4271345051162833921378941811085205805203166782321329409874639539649154124033516537607653395779345839575922641771602037636460582347133042874663924443216840037775080994418045116857555667504971981187322337810806059191310978704795232373758755657 has 241 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)
40	3e6	2350		Ignacio Santos	August 30, 2022 09:04:34 UTC 2022 年 8 月 30 日 (火) 18 時 4 分 34 秒 (日本時間)

8×10²⁸⁷-63×10¹⁴³-89

c188

composite cofactor 合成数の残り	15272951885258500472258365035595185656799717978131246905804117090785585759971134328888014287397391751247140032609379931929044646625653957282515517624172424287910215729330247144506128422927<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	2350	Ignacio Santos	June 4, 2022 12:02:17 UTC 2022 年 6 月 4 日 (土) 21 時 2 分 17 秒 (日本時間)
45	11e6	4480	Ignacio Santos	June 8, 2022 13:23:29 UTC 2022 年 6 月 8 日 (水) 22 時 23 分 29 秒 (日本時間)
50	43e6	1792 / 6453	Dmitry Domanov	April 14, 2024 09:02:02 UTC 2024 年 4 月 14 日 (日) 18 時 2 分 2 秒 (日本時間)

8×10²⁸⁹-63×10¹⁴⁴-89

c273

composite cofactor 合成数の残り

195293244904797197011158766204281718929175263568484317157327036444206542552936695373533724305345680463192182491157447527150909528716868666591097623621597819068288300448765525494106403162956018363064891953832454345263647737422257837855368452262018043284625058951052057389801<273>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	August 27, 2022 14:42:13 UTC 2022 年 8 月 27 日 (土) 23 時 42 分 13 秒 (日本時間)

8×10²⁹¹-63×10¹⁴⁵-89

c247

composite cofactor 合成数の残り

3119396390724396227282819899641082565598169781733826510037826185200042632306622465564869392122114411035657819321769944158058131296055331634279835282708819192292356788861402054179134615204884184233778866774451466787785389789044895426742790108593559<247>

ECM

level 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	4142	1792	Dmitry Domanov	July 27, 2022 11:57:41 UTC 2022 年 7 月 27 日 (水) 20 時 57 分 41 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	August 27, 2022 15:00:45 UTC 2022 年 8 月 28 日 (日) 0 時 0 分 45 秒 (日本時間)

8×10²⁹⁵-63×10¹⁴⁷-89

c225

name 名前	Dmitry Domanov
date 日付	July 30, 2022 08:58:50 UTC 2022 年 7 月 30 日 (土) 17 時 58 分 50 秒 (日本時間)
composite number 合成数	409012417372767531532856926919209009662609911024331213027230928515468257687352833552884878582794612240338696335254656496450334476445299318512527616040553156420533192742151645715036699267518132524945067564355891258151502420601<225>
prime factors 素因数	635753879831109247512395246758523847873331183<45>
composite cofactor 合成数の残り	643350249756121723279544563924018809259560984293800380605690936586218122042423136660633514264696185703606558494747764597075210534022787489057429171401023741436250961584535389185047<180>
factorization results 素因数分解の結果	Resuming ECM residue saved by @4cfc2b5d47c6 with GMP-ECM 7.0.5-dev on Wed Jul 27 20:22:37 2022 Input number is 409012417372767531532856926919209009662609911024331213027230928515468257687352833552884878582794612240338696335254656496450334476445299318512527616040553156420533192742151645715036699267518132524945067564355891258151502420601 (225 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2728970556 Step 1 took 0ms Step 2 took 9568ms ********** Factor found in step 2: 635753879831109247512395246758523847873331183 Found prime factor of 45 digits: 635753879831109247512395246758523847873331183 Composite cofactor 643350249756121723279544563924018809259560984293800380605690936586218122042423136660633514264696185703606558494747764597075210534022787489057429171401023741436250961584535389185047 has 180 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	4142	1792	Dmitry Domanov	July 27, 2022 11:58:03 UTC 2022 年 7 月 27 日 (水) 20 時 58 分 3 秒 (日本時間)
40	3e6	4142	2350	Ignacio Santos	July 30, 2022 15:01:36 UTC 2022 年 7 月 31 日 (日) 0 時 1 分 36 秒 (日本時間)
45	11e6	4480		Ignacio Santos	August 3, 2022 13:42:34 UTC 2022 年 8 月 3 日 (水) 22 時 42 分 34 秒 (日本時間)
50	43e6	1792 / 6385		Dmitry Domanov	April 27, 2024 21:06:39 UTC 2024 年 4 月 28 日 (日) 6 時 6 分 39 秒 (日本時間)

8×10²⁹⁷-63×10¹⁴⁸-89

c291

composite cofactor 合成数の残り

109316892947169222659599110903846282083278264948511196837418560281215520768733881907365520817926483733591671014746083640322497952221302867152536529051046288379931298705458422030327348342761368765561942941610458653235555931605667293817681504576497064786765922032786978434072676275402922936947<291>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	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	August 27, 2022 15:23:42 UTC 2022 年 8 月 28 日 (日) 0 時 23 分 42 秒 (日本時間)

8×10²⁹⁹-63×10¹⁴⁹-89

c268

composite cofactor 合成数の残り

1873892733706090365687910451143967938140843768891810431599067464006296511133728135193880074491967673710492891216590137383301130712512026905956835102421663314087647034042109285290142189551768957805755064746874362912734020222767881061477282373438698126711933121772575821<268>

ECM

level 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	August 27, 2022 15:40:57 UTC 2022 年 8 月 28 日 (日) 0 時 40 分 57 秒 (日本時間)