Table of contents 目次

23×10120-149

c118

name 名前Eric Jeancolas
date 日付May 30, 2022 20:30:19 UTC 2022 年 5 月 31 日 (火) 5 時 30 分 19 秒 (日本時間)
composite number 合成数
6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289<118>
prime factors 素因数
8716911221386389904013286498469303907<37>
72778774430875218638580758601680327597<38>
10435918074617230697485369013225498670964391<44>
factorization results 素因数分解の結果
6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289=8716911221386389904013286498469303907*72778774430875218638580758601680327597*10435918074617230697485369013225498670964391

cado polynomial
n: 6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289
skew: 0.88
type: snfs
c0: -14
c4: 23
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 23*x^4-14
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 740000
tasks.lim1 = 740000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 72778774430875218638580758601680327597 10435918074617230697485369013225498670964391 8716911221386389904013286498469303907
Info:Square Root: Total cpu/real time for sqrt: 13.36/11.4981
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.89/41.1759
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3401778
Info:Lattice Sieving: Average J: 1898.78 for 17576 special-q, max bucket fill -bkmult 1.0,1s:1.347090
Info:Lattice Sieving: Total time: 3259.9s
Info:Linear Algebra: Total cpu/real time for bwc: 111.49/106.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28.78, WCT time 30.08, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1920 iterations)
Info:Linear Algebra: Lingen CPU time 63.54, WCT time 55.74
Info:Linear Algebra: Mksol: CPU time 15.56,  WCT time 16.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (960 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.38311
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.97/21.9726
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.11/43.6333
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.0s
Info:Filtering - Merging: Merged matrix has 59230 rows and total weight 10084516 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20.62/17.893
Info:Filtering - Merging: Total cpu/real time for replay: 1.93/2.05505
Info:Generate Factor Base: Total cpu/real time for makefb: 0.38/0.20679
Info:Quadratic Characters: Total cpu/real time for characters: 1.93/1.73071
Info:Square Root: Total cpu/real time for sqrt: 13.36/11.4981
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3223.49/2098.65
Info:root: Cleaning up computation data in /tmp/cado.hxtb4wux
72778774430875218638580758601680327597 10435918074617230697485369013225498670964391 8716911221386389904013286498469303907
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10121-149

c90

name 名前Eric Jeancolas
date 日付May 29, 2022 21:30:28 UTC 2022 年 5 月 30 日 (月) 6 時 30 分 28 秒 (日本時間)
composite number 合成数
493911525817173661015634942798182726172917347281717693757993293564496194059432519346346199<90>
prime factors 素因数
11481294442326890560329089716187675384804153<44>
43018801433775756215403759416967200891988925583<47>
factorization results 素因数分解の結果
Sun May 29 22:54:42 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 22:54:42 2022  random seeds: c0049368 da5fcd4f
Sun May 29 22:54:42 2022  factoring 493911525817173661015634942798182726172917347281717693757993293564496194059432519346346199 (90 digits)
Sun May 29 22:54:42 2022  searching for 15-digit factors
Sun May 29 22:54:43 2022  commencing quadratic sieve (90-digit input)
Sun May 29 22:54:43 2022  using multiplier of 1
Sun May 29 22:54:43 2022  using generic 32kb sieve core
Sun May 29 22:54:43 2022  sieve interval: 36 blocks of size 32768
Sun May 29 22:54:43 2022  processing polynomials in batches of 6
Sun May 29 22:54:43 2022  using a sieve bound of 1584943 (59717 primes)
Sun May 29 22:54:43 2022  using large prime bound of 126795440 (26 bits)
Sun May 29 22:54:43 2022  using double large prime bound of 385111478867040 (42-49 bits)
Sun May 29 22:54:43 2022  using trial factoring cutoff of 49 bits
Sun May 29 22:54:43 2022  polynomial 'A' values have 11 factors
Sun May 29 23:20:12 2022  59938 relations (15537 full + 44401 combined from 647133 partial), need 59813
Sun May 29 23:20:13 2022  begin with 662670 relations
Sun May 29 23:20:13 2022  reduce to 148662 relations in 9 passes
Sun May 29 23:20:13 2022  attempting to read 148662 relations
Sun May 29 23:20:13 2022  recovered 148662 relations
Sun May 29 23:20:13 2022  recovered 129342 polynomials
Sun May 29 23:20:13 2022  attempting to build 59938 cycles
Sun May 29 23:20:13 2022  found 59938 cycles in 5 passes
Sun May 29 23:20:13 2022  distribution of cycle lengths:
Sun May 29 23:20:13 2022     length 1 : 15537
Sun May 29 23:20:13 2022     length 2 : 10899
Sun May 29 23:20:13 2022     length 3 : 10697
Sun May 29 23:20:13 2022     length 4 : 8136
Sun May 29 23:20:13 2022     length 5 : 5890
Sun May 29 23:20:13 2022     length 6 : 3644
Sun May 29 23:20:13 2022     length 7 : 2356
Sun May 29 23:20:13 2022     length 9+: 2779
Sun May 29 23:20:13 2022  largest cycle: 20 relations
Sun May 29 23:20:13 2022  matrix is 59717 x 59938 (16.0 MB) with weight 3725404 (62.15/col)
Sun May 29 23:20:13 2022  sparse part has weight 3725404 (62.15/col)
Sun May 29 23:20:14 2022  filtering completed in 3 passes
Sun May 29 23:20:14 2022  matrix is 56278 x 56342 (15.2 MB) with weight 3526538 (62.59/col)
Sun May 29 23:20:14 2022  sparse part has weight 3526538 (62.59/col)
Sun May 29 23:20:14 2022  saving the first 48 matrix rows for later
Sun May 29 23:20:14 2022  matrix includes 64 packed rows
Sun May 29 23:20:14 2022  matrix is 56230 x 56342 (11.6 MB) with weight 2959732 (52.53/col)
Sun May 29 23:20:14 2022  sparse part has weight 2485062 (44.11/col)
Sun May 29 23:20:14 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 23:20:14 2022  commencing Lanczos iteration
Sun May 29 23:20:14 2022  memory use: 7.0 MB
Sun May 29 23:20:19 2022  lanczos halted after 891 iterations (dim = 56228)
Sun May 29 23:20:19 2022  recovered 16 nontrivial dependencies
Sun May 29 23:20:19 2022  p44 factor: 11481294442326890560329089716187675384804153
Sun May 29 23:20:19 2022  p47 factor: 43018801433775756215403759416967200891988925583
Sun May 29 23:20:19 2022  elapsed time 00:25:37
software ソフトウェア
Msieve 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10123-149

c81

name 名前Eric Jeancolas
date 日付May 29, 2022 17:51:49 UTC 2022 年 5 月 30 日 (月) 2 時 51 分 49 秒 (日本時間)
composite number 合成数
150535316504963237427133321617388831206139337999422296917961830431172452292098673<81>
prime factors 素因数
5055824850098477158321611279896387<34>
29774630444729729201528847424716701247759864379<47>
factorization results 素因数分解の結果
150535316504963237427133321617388831206139337999422296917961830431172452292098673 = 5055824850098477158321611279896387 * 29774630444729729201528847424716701247759864379

Time elapsed: 0d 0h 5m 35.9s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1349
SIQS: 118897
Sum of squares: 8050
SIQS:

847228 polynomials sieved
372477 sets of trial divisions
14053 smooth congruences found (1 out of every 4724654 values)
158577 partial congruences found (1 out of every 418696 values)
14761 useful partial congruences
Size of binary matrix: 26728 × 26052
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.6s
Factoring 1 number using SIQS: 0d 0h 5m 21.3s
software ソフトウェア
Dario Alpern's calculator
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10127-149

c121

name 名前Dmitry Domanov
date 日付May 31, 2022 16:11:14 UTC 2022 年 6 月 1 日 (水) 1 時 11 分 14 秒 (日本時間)
composite number 合成数
3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227<121>
prime factors 素因数
274117806775870659762184338157542669733198292517671<51>
13000200972470183290119777580031855141174688089530967945771348905853437<71>
factorization results 素因数分解の結果
N=3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227
  ( 121 digits)
SNFS difficulty: 128 digits.
Divisors found:
p51 factor: 274117806775870659762184338157542669733198292517671
p71 factor: 13000200972470183290119777580031855141174688089530967945771348905853437
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227
m: 50000000000000000000000000000000
deg: 4
c4: 92
c0: -35
skew: 0.79
# Murphy_E = 1.811e-08
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106471 x 106699
Total sieving time: 1.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,100000
total time: 1.74 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10133-149

c103

name 名前Eric Jeancolas
date 日付June 1, 2022 09:02:04 UTC 2022 年 6 月 1 日 (水) 18 時 2 分 4 秒 (日本時間)
composite number 合成数
8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329<103>
prime factors 素因数
107266265849319903498373270588559319475027538300327<51>
77434913331059468995088059992299522776359814121535527<53>
factorization results 素因数分解の結果
8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329=107266265849319903498373270588559319475027538300327*77434913331059468995088059992299522776359814121535527

cado polynomial
n: 8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1200000
tasks.lim1 = 1200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 107266265849319903498373270588559319475027538300327 77434913331059468995088059992299522776359814121535527
Info:Square Root: Total cpu/real time for sqrt: 15.38/12.55
Info:Quadratic Characters: Total cpu/real time for characters: 3.54/2.81522
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.95/71.7945
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 15.38/12.55
Info:Linear Algebra: Total cpu/real time for bwc: 282.66/263.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 97.58, WCT time 95.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3520 iterations)
Info:Linear Algebra: Lingen CPU time 121.81, WCT time 104.4
Info:Linear Algebra: Mksol: CPU time 56.41,  WCT time 56.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1792 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.19/75.7442
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6090335
Info:Lattice Sieving: Average J: 1894.28 for 69278 special-q, max bucket fill -bkmult 1.0,1s:1.317480
Info:Lattice Sieving: Total time: 12954s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.5/24.9205
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/39.1933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.0s
Info:Filtering - Merging: Merged matrix has 111795 rows and total weight 19018295 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.15/22.9271
Info:Filtering - Merging: Total cpu/real time for replay: 3.56/3.92135
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.786234
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12451.7/7221.47
Info:root: Cleaning up computation data in /tmp/cado.8auxwd5e
107266265849319903498373270588559319475027538300327 77434913331059468995088059992299522776359814121535527
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10135-149

c107

name 名前Eric Jeancolas
date 日付June 1, 2022 13:24:09 UTC 2022 年 6 月 1 日 (水) 22 時 24 分 9 秒 (日本時間)
composite number 合成数
51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289<107>
prime factors 素因数
161108732771174931339833650042192889704024339157<48>
318190530774697555823347057422213761600853956453718541446677<60>
factorization results 素因数分解の結果
51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289=161108732771174931339833650042192889704024339157*318190530774697555823347057422213761600853956453718541446677

cado polynomial
n: 51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289
skew: 0.79
type: snfs
c0: -35
c4: 92
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 92*x^4-35
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1330000
tasks.lim1 = 1330000
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: 161108732771174931339833650042192889704024339157 318190530774697555823347057422213761600853956453718541446677
Info:Square Root: Total cpu/real time for sqrt: 18.71/15.4237
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.44/69.1368
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6132818
Info:Lattice Sieving: Average J: 1894.45 for 67182 special-q, max bucket fill -bkmult 1.0,1s:1.372010
Info:Lattice Sieving: Total time: 12751.7s
Info:Linear Algebra: Total cpu/real time for bwc: 358.35/357.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 146.4, WCT time 156.99, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Linear Algebra: Lingen CPU time 124.47, WCT time 108.02
Info:Linear Algebra: Mksol: CPU time 79.22,  WCT time 84.28, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2048 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.16/40.2701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.76/75.5924
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.83/26.199
Info:Filtering - Merging: Merged matrix has 129757 rows and total weight 22116443 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.8/25.7877
Info:Filtering - Merging: Total cpu/real time for replay: 4.29/4.63933
Info:Generate Factor Base: Total cpu/real time for makefb: 0.68/0.907708
Info:Quadratic Characters: Total cpu/real time for characters: 4.21/3.79114
Info:Square Root: Total cpu/real time for sqrt: 18.71/15.4237
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12116.4/7189.73
Info:root: Cleaning up computation data in /tmp/cado.fo8uhmi_
161108732771174931339833650042192889704024339157 318190530774697555823347057422213761600853956453718541446677
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10139-149

c92

name 名前Eric Jeancolas
date 日付May 30, 2022 05:08:00 UTC 2022 年 5 月 30 日 (月) 14 時 8 分 0 秒 (日本時間)
composite number 合成数
19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777<92>
prime factors 素因数
1023328329728623057279909883150410721<37>
19103833061045236376956483399285126533198081884728989137<56>
factorization results 素因数分解の結果
19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777=1023328329728623057279909883150410721*19103833061045236376956483399285126533198081884728989137

cado polynomial
n: 19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777
skew: 132415.815
c0: -4748034534599448411573117
c1: -86538187831199063866
c2: 1065246549697651
c3: 1120826280
c4: -23940
Y0: -11449357419403757337550
Y1: 483439624740043
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 2.972e-06
# f(x) = -23940*x^4+1120826280*x^3+1065246549697651*x^2-86538187831199063866*x-4748034534599448411573117
# g(x) = 483439624740043*x-11449357419403757337550

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1023328329728623057279909883150410721 19103833061045236376956483399285126533198081884728989137
Info:Square Root: Total cpu/real time for sqrt: 17.16/12.8786
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.25/10.1594
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1079405
Info:Lattice Sieving: Average J: 1022.2 for 31846 special-q, max bucket fill -bkmult 1.0,1s:1.409390
Info:Lattice Sieving: Total time: 1665.57s
Info:Linear Algebra: Total cpu/real time for bwc: 145.94/135.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 54.48, WCT time 53.24, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2800 iterations)
Info:Linear Algebra: Lingen CPU time 55.46, WCT time 46.36
Info:Linear Algebra: Mksol: CPU time 29.69,  WCT time 30.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1400 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 6.33/2.09413
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.41/8.48706
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 7.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.27
Info:Polynomial Selection (root optimized): Rootsieve time: 41.94
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.173393
Info:Filtering - Merging: Merged matrix has 86160 rows and total weight 14705773 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.13/17.838
Info:Filtering - Merging: Total cpu/real time for replay: 3.07/3.37902
Info:Quadratic Characters: Total cpu/real time for characters: 2.96/2.30465
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2417/30.080/34.518/37.830/0.749
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1499/30.350/33.324/36.160/1.110
Info:Polynomial Selection (size optimized): Total time: 37.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.88/18.3533
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 12.900000000000002s
Info:Square Root: Total cpu/real time for sqrt: 17.16/12.8786
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2178.42/1098.94
Info:root: Cleaning up computation data in /tmp/cado.x_og9ryp
1023328329728623057279909883150410721 19103833061045236376956483399285126533198081884728989137
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10140-149

c137

name 名前Bob Backstrom
date 日付May 29, 2022 20:01:45 UTC 2022 年 5 月 30 日 (月) 5 時 1 分 45 秒 (日本時間)
composite number 合成数
12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719<137>
prime factors 素因数
31363465541817984191752981827896563313416244215963123146138595637<65>
408103402144633583090963278954322821207897300063237148511521757707911987<72>
factorization results 素因数分解の結果
Number: n
N=12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719  ( 137 digits)
SNFS difficulty: 141 digits.
Divisors found:

Mon May 30 05:52:45 2022  p65 factor: 31363465541817984191752981827896563313416244215963123146138595637
Mon May 30 05:52:45 2022  p72 factor: 408103402144633583090963278954322821207897300063237148511521757707911987
Mon May 30 05:52:45 2022  elapsed time 00:02:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^140-14 = 25(139)4
#
n: 12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719
m: 100000000000000000000000000000000000
deg: 4
c4: 23
c0: -14
skew: 0.88
# Murphy_E = 3.895e-09
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6395000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 499967 hash collisions in 6966069 relations (7230536 unique)
Msieve: matrix is 215452 x 215678 (70.6 MB)

Sieving start time : 2022/05/30 05:29:28
Sieving end time  : 2022/05/30 05:47:37

Total sieving time: 0hrs 18min 9secs.

Total relation processing time: 0hrs 1min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10141-149

c113

name 名前Eric Jeancolas
date 日付June 1, 2022 20:27:16 UTC 2022 年 6 月 2 日 (木) 5 時 27 分 16 秒 (日本時間)
composite number 合成数
10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467<113>
prime factors 素因数
608850137038988861440861455556664774084121815527<48>
17197487094156035570227404312122340020333395378399895791900016221<65>
factorization results 素因数分解の結果
10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467=608850137038988861440861455556664774084121815527*17197487094156035570227404312122340020333395378399895791900016221

cado polynomial
n: 10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1630000
tasks.lim1 = 1630000
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: 17197487094156035570227404312122340020333395378399895791900016221 608850137038988861440861455556664774084121815527
Info:Square Root: Total cpu/real time for sqrt: 26.65/20.8916
Info:Quadratic Characters: Total cpu/real time for characters: 5.73/4.66573
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.88/76.8179
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s
Info:Square Root: Total cpu/real time for sqrt: 26.65/20.8916
Info:Linear Algebra: Total cpu/real time for bwc: 618.87/578.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 288.36, WCT time 276.67, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations)
Info:Linear Algebra: Lingen CPU time 155.36, WCT time 130.78
Info:Linear Algebra: Mksol: CPU time 158.38,  WCT time 155.39, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2944 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.25/61.0259
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6076430
Info:Lattice Sieving: Average J: 1895.62 for 124828 special-q, max bucket fill -bkmult 1.0,1s:1.330440
Info:Lattice Sieving: Total time: 21379.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.71/25.3803
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.97/40.0372
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Filtering - Merging: Merged matrix has 182710 rows and total weight 31070798 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 40.97/31.0524
Info:Filtering - Merging: Total cpu/real time for replay: 6.14/6.54314
Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/1.11851
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20484/11662.5
Info:root: Cleaning up computation data in /tmp/cado.z35abkf6
17197487094156035570227404312122340020333395378399895791900016221 608850137038988861440861455556664774084121815527
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10144-149

c135

name 名前Bob Backstrom
date 日付May 29, 2022 21:20:21 UTC 2022 年 5 月 30 日 (月) 6 時 20 分 21 秒 (日本時間)
composite number 合成数
500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093<135>
prime factors 素因数
254676536068888627344931846958335580433226277<45>
1964680787991594695471550926245592892661344959333312248971939189117565272236159433750131809<91>
factorization results 素因数分解の結果
Number: n
N=500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093  ( 135 digits)
SNFS difficulty: 145 digits.
Divisors found:

Mon May 30 07:12:18 2022  p45 factor: 254676536068888627344931846958335580433226277
Mon May 30 07:12:18 2022  p91 factor: 1964680787991594695471550926245592892661344959333312248971939189117565272236159433750131809
Mon May 30 07:12:18 2022  elapsed time 00:03:18 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 23x10^144-14 = 25(143)4
#
n: 500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093
m: 1000000000000000000000000000000000000
deg: 4
c4: 23
c0: -14
skew: 0.88
# Murphy_E = 2.448e-09
type: snfs
lss: 1
rlim: 1850000
alim: 1850000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1850000/1850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6525000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 487548 hash collisions in 6496633 relations (6726364 unique)
Msieve: matrix is 271938 x 272163 (92.7 MB)

Sieving start time : 2022/05/30 06:47:45
Sieving end time  : 2022/05/30 07:08:42

Total sieving time: 0hrs 20min 57secs.

Total relation processing time: 0hrs 1min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1850000,1850000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10145-149

c112

name 名前Eric Jeancolas
date 日付June 3, 2022 05:19:23 UTC 2022 年 6 月 3 日 (金) 14 時 19 分 23 秒 (日本時間)
composite number 合成数
4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241<112>
prime factors 素因数
908018909140448175663790811199288424572312286471316539<54>
5415579026812493597522213262499567115785176244188937213019<58>
factorization results 素因数分解の結果
4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241=908018909140448175663790811199288424572312286471316539*5415579026812493597522213262499567115785176244188937213019

cado polynomial
n: 4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1900000
tasks.lim1 = 1900000
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: 5415579026812493597522213262499567115785176244188937213019 908018909140448175663790811199288424572312286471316539
Info:Square Root: Total cpu/real time for sqrt: 133.31/99.3012
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.7/77.7715
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.9s
Info:Square Root: Total cpu/real time for sqrt: 133.31/99.3012
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.59/51.9443
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6044876
Info:Lattice Sieving: Average J: 1895.95 for 152605 special-q, max bucket fill -bkmult 1.0,1s:1.322390
Info:Lattice Sieving: Total time: 25696s
Info:Linear Algebra: Total cpu/real time for bwc: 1055.8/907.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 572.61, WCT time 530.27, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7936 iterations)
Info:Linear Algebra: Lingen CPU time 147.38, WCT time 118.35
Info:Linear Algebra: Mksol: CPU time 312.0,  WCT time 237.05, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3968 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.41/23.9902
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.2/40.3422
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s
Info:Filtering - Merging: Merged matrix has 252100 rows and total weight 43048830 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.57/41.548
Info:Filtering - Merging: Total cpu/real time for replay: 8.86/9.76337
Info:Generate Factor Base: Total cpu/real time for makefb: 0.99/1.26694
Info:Quadratic Characters: Total cpu/real time for characters: 8.24/6.64952
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25248.4/14301.8
Info:root: Cleaning up computation data in /tmp/cado.4lx0qt32
5415579026812493597522213262499567115785176244188937213019 908018909140448175663790811199288424572312286471316539
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10148-149

c90

name 名前Eric Jeancolas
date 日付May 29, 2022 21:36:37 UTC 2022 年 5 月 30 日 (月) 6 時 36 分 37 秒 (日本時間)
composite number 合成数
417610226333470191439911799736584309881371849743616620539754611452119336210413323645553049<90>
prime factors 素因数
8653911577997699445226841619427710415283<40>
48256816882117351452597356863135881309706725718403<50>
factorization results 素因数分解の結果
Sun May 29 23:00:07 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 23:00:07 2022  random seeds: 5a3cd498 c18b3cbc
Sun May 29 23:00:07 2022  factoring 417610226333470191439911799736584309881371849743616620539754611452119336210413323645553049 (90 digits)
Sun May 29 23:00:07 2022  searching for 15-digit factors
Sun May 29 23:00:07 2022  commencing quadratic sieve (90-digit input)
Sun May 29 23:00:07 2022  using multiplier of 1
Sun May 29 23:00:07 2022  using generic 32kb sieve core
Sun May 29 23:00:07 2022  sieve interval: 36 blocks of size 32768
Sun May 29 23:00:07 2022  processing polynomials in batches of 6
Sun May 29 23:00:07 2022  using a sieve bound of 1580023 (60000 primes)
Sun May 29 23:00:07 2022  using large prime bound of 126401840 (26 bits)
Sun May 29 23:00:07 2022  using double large prime bound of 382962309086640 (42-49 bits)
Sun May 29 23:00:07 2022  using trial factoring cutoff of 49 bits
Sun May 29 23:00:07 2022  polynomial 'A' values have 11 factors
Sun May 29 23:00:07 2022  restarting with 719 full and 30006 partial relations
Sun May 29 23:24:24 2022  60328 relations (15599 full + 44729 combined from 641587 partial), need 60096
Sun May 29 23:24:24 2022  begin with 657186 relations
Sun May 29 23:24:24 2022  reduce to 148595 relations in 12 passes
Sun May 29 23:24:24 2022  attempting to read 148595 relations
Sun May 29 23:24:24 2022  recovered 148595 relations
Sun May 29 23:24:24 2022  recovered 129093 polynomials
Sun May 29 23:24:24 2022  attempting to build 60328 cycles
Sun May 29 23:24:24 2022  found 60328 cycles in 6 passes
Sun May 29 23:24:24 2022  distribution of cycle lengths:
Sun May 29 23:24:24 2022     length 1 : 15599
Sun May 29 23:24:24 2022     length 2 : 11262
Sun May 29 23:24:24 2022     length 3 : 10520
Sun May 29 23:24:24 2022     length 4 : 8171
Sun May 29 23:24:24 2022     length 5 : 6026
Sun May 29 23:24:24 2022     length 6 : 3741
Sun May 29 23:24:24 2022     length 7 : 2254
Sun May 29 23:24:24 2022     length 9+: 2755
Sun May 29 23:24:24 2022  largest cycle: 21 relations
Sun May 29 23:24:24 2022  matrix is 60000 x 60328 (16.0 MB) with weight 3706046 (61.43/col)
Sun May 29 23:24:24 2022  sparse part has weight 3706046 (61.43/col)
Sun May 29 23:24:25 2022  filtering completed in 3 passes
Sun May 29 23:24:25 2022  matrix is 56415 x 56479 (15.0 MB) with weight 3487319 (61.75/col)
Sun May 29 23:24:25 2022  sparse part has weight 3487319 (61.75/col)
Sun May 29 23:24:25 2022  saving the first 48 matrix rows for later
Sun May 29 23:24:25 2022  matrix includes 64 packed rows
Sun May 29 23:24:25 2022  matrix is 56367 x 56479 (11.7 MB) with weight 2968583 (52.56/col)
Sun May 29 23:24:25 2022  sparse part has weight 2508291 (44.41/col)
Sun May 29 23:24:25 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 23:24:25 2022  commencing Lanczos iteration
Sun May 29 23:24:25 2022  memory use: 7.0 MB
Sun May 29 23:24:29 2022  lanczos halted after 893 iterations (dim = 56365)
Sun May 29 23:24:29 2022  recovered 16 nontrivial dependencies
Sun May 29 23:24:30 2022  p40 factor: 8653911577997699445226841619427710415283
Sun May 29 23:24:30 2022  p50 factor: 48256816882117351452597356863135881309706725718403
Sun May 29 23:24:30 2022  elapsed time 00:24:23
software ソフトウェア
Msieve 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10149-149

c114

name 名前Eric Jeancolas
date 日付June 3, 2022 16:16:55 UTC 2022 年 6 月 4 日 (土) 1 時 16 分 55 秒 (日本時間)
composite number 合成数
600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997<114>
prime factors 素因数
10337165281951492362709673394922836535458121<44>
58049961057374761045544182795051725171813719614661166962264702746521157<71>
factorization results 素因数分解の結果
600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997=10337165281951492362709673394922836535458121*58049961057374761045544182795051725171813719614661166962264702746521157

cado polynomial
n: 600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 58049961057374761045544182795051725171813719614661166962264702746521157 10337165281951492362709673394922836535458121
Info:Square Root: Total cpu/real time for sqrt: 40.37/19.2797
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.41/112.504
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.4s
Info:Square Root: Total cpu/real time for sqrt: 40.37/19.2797
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.35/106.469
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11646759
Info:Lattice Sieving: Average J: 1896.59 for 316833 special-q, max bucket fill -bkmult 1.0,1s:1.314690
Info:Lattice Sieving: Total time: 63730.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1079.51/639.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 643.3, WCT time 380.42, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8192 iterations)
Info:Linear Algebra: Lingen CPU time 58.04, WCT time 26.65
Info:Linear Algebra: Mksol: CPU time 350.68,  WCT time 213.49, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 72.01/49.6865
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.64/59.4913
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.3s
Info:Filtering - Merging: Merged matrix has 261066 rows and total weight 44580662 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.25/27.1296
Info:Filtering - Merging: Total cpu/real time for replay: 10.9/10.7839
Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/1.49726
Info:Quadratic Characters: Total cpu/real time for characters: 8.44/4.89057
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59244.2/33078.4
Info:root: Cleaning up computation data in /tmp/cado.mvnad0ra
58049961057374761045544182795051725171813719614661166962264702746521157 10337165281951492362709673394922836535458121
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10152-149

c142

name 名前Bob Backstrom
date 日付May 31, 2022 12:12:15 UTC 2022 年 5 月 31 日 (火) 21 時 12 分 15 秒 (日本時間)
composite number 合成数
5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963<142>
prime factors 素因数
8771418179514809451211578787038818238239583907933730978910379397417567<70>
657356382414324898144087672281418657846005046086690391555718356701879589<72>
factorization results 素因数分解の結果
Number: n
N=5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963  ( 142 digits)
SNFS difficulty: 153 digits.
Divisors found:

Tue May 31 21:30:05 2022  p70 factor: 8771418179514809451211578787038818238239583907933730978910379397417567
Tue May 31 21:30:05 2022  p72 factor: 657356382414324898144087672281418657846005046086690391555718356701879589
Tue May 31 21:30:05 2022  elapsed time 00:05:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 23x10^152-14 = 25(151)4
#
n: 5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963
m: 100000000000000000000000000000000000000
deg: 4
c4: 23
c0: -14
skew: 0.88
# Murphy_E = 9.551e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1478010 hash collisions in 13714812 relations (13594000 unique)
Msieve: matrix is 374878 x 375108 (124.3 MB)

Sieving start time : 2022/05/31 20:50:14
Sieving end time  : 2022/05/31 21:24:10

Total sieving time: 0hrs 33min 56secs.

Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10155-149

c154

name 名前Bob Backstrom
date 日付May 30, 2022 18:53:31 UTC 2022 年 5 月 31 日 (火) 3 時 53 分 31 秒 (日本時間)
composite number 合成数
9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829<154>
prime factors 素因数
16909673309716049567116258087269884003<38>
581268463856850259383448736209181118039248415828457969955004734867962314730833957273828002559988473734402653622815943<117>
factorization results 素因数分解の結果
Number: n
N=9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue May 31 04:50:05 2022  p38 factor: 16909673309716049567116258087269884003
Tue May 31 04:50:05 2022  p117 factor: 581268463856850259383448736209181118039248415828457969955004734867962314730833957273828002559988473734402653622815943
Tue May 31 04:50:05 2022  elapsed time 00:05:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^155-14 = 25(154)4
#
n: 9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829
m: 10000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 9.404e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1144268 hash collisions in 14666770 relations (14180098 unique)
Msieve: matrix is 333106 x 333333 (111.7 MB)

Sieving start time : 2022/05/31 04:14:48
Sieving end time  : 2022/05/31 04:44:13

Total sieving time: 0hrs 29min 25secs.

Total relation processing time: 0hrs 1min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10157-149

c123

name 名前Eric Jeancolas
date 日付June 4, 2022 16:41:31 UTC 2022 年 6 月 5 日 (日) 1 時 41 分 31 秒 (日本時間)
composite number 合成数
184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209<123>
prime factors 素因数
3417130043279912136664120223215655069608545009556138274200823<61>
53943762163016652844627969677923030152272691031025020948247383<62>
factorization results 素因数分解の結果
184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209=3417130043279912136664120223215655069608545009556138274200823*53943762163016652844627969677923030152272691031025020948247383

cado polynomial
n: 184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209
skew: 0.36
type: snfs
c0: -7
c5: 1150
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 1150*x^5-7
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3417130043279912136664120223215655069608545009556138274200823 53943762163016652844627969677923030152272691031025020948247383
Info:Square Root: Total cpu/real time for sqrt: 130.74/60.2348
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.09/119.466
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645207
Info:Lattice Sieving: Average J: 1894.37 for 314024 special-q, max bucket fill -bkmult 1.0,1s:1.229440
Info:Lattice Sieving: Total time: 74730.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2075.15/1195.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1275.62, WCT time 756.48, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11648 iterations)
Info:Linear Algebra: Lingen CPU time 70.1, WCT time 29.67
Info:Linear Algebra: Mksol: CPU time 693.8,  WCT time 375.02, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.33/80.7536
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.15/154.596
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 61.03/28.7162
Info:Filtering - Merging: Merged matrix has 371036 rows and total weight 63345020 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 81.83/70.2987
Info:Filtering - Merging: Total cpu/real time for replay: 12.9/14.7843
Info:Generate Factor Base: Total cpu/real time for makefb: 1.33/1.35691
Info:Quadratic Characters: Total cpu/real time for characters: 11.88/6.71494
Info:Square Root: Total cpu/real time for sqrt: 130.74/60.2348
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67847.6/39361.3
Info:root: Cleaning up computation data in /tmp/cado.bvusy6lt
3417130043279912136664120223215655069608545009556138274200823 53943762163016652844627969677923030152272691031025020948247383
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10159-149

c150

name 名前Bob Backstrom
date 日付May 31, 2022 20:28:38 UTC 2022 年 6 月 1 日 (水) 5 時 28 分 38 秒 (日本時間)
composite number 合成数
975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499<150>
prime factors 素因数
176993626848850139879700921693499525799<39>
13578319165468320249075859937915435097713059<44>
405772581104950956571992257386834775547049766357510023113168262361039<69>
factorization results 素因数分解の結果
Number: n
N=975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499  ( 150 digits)
SNFS difficulty: 160 digits.
Divisors found:

Wed Jun  1 06:18:41 2022  found factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:19:09 2022  found factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:19:38 2022  found factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:20:34 2022  p39 factor: 176993626848850139879700921693499525799
Wed Jun  1 06:20:34 2022  p44 factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:20:34 2022  p69 factor: 405772581104950956571992257386834775547049766357510023113168262361039
Wed Jun  1 06:20:34 2022  elapsed time 00:08:54 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^159-14 = 25(158)4
#
n: 975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499
m: 50000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 4.677e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1203578 hash collisions in 12371921 relations (11931804 unique)
Msieve: matrix is 484289 x 484514 (165.6 MB)

Sieving start time : 2022/06/01 05:46:30
Sieving end time  : 2022/06/01 06:11:25

Total sieving time: 0hrs 24min 55secs.

Total relation processing time: 0hrs 3min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 22sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10160-149

c117

name 名前Eric Jeancolas
date 日付June 6, 2022 03:58:08 UTC 2022 年 6 月 6 日 (月) 12 時 58 分 8 秒 (日本時間)
composite number 合成数
616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429<117>
prime factors 素因数
69577115945006674024125033201348709608090577771291687<53>
8858259286257975655561839606763709768489717500075552734249514267<64>
factorization results 素因数分解の結果
616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429=69577115945006674024125033201348709608090577771291687*8858259286257975655561839606763709768489717500075552734249514267

cado polynomial
n: 616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429
skew: 0.91
type: snfs
c0: -14
c5: 23
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-14
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8858259286257975655561839606763709768489717500075552734249514267 69577115945006674024125033201348709608090577771291687
Info:Square Root: Total cpu/real time for sqrt: 127.09/102.935
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.83/160.783
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.5s
Info:Square Root: Total cpu/real time for sqrt: 127.09/102.935
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.24/116.489
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11660387
Info:Lattice Sieving: Average J: 1894.1 for 216444 special-q, max bucket fill -bkmult 1.0,1s:1.226690
Info:Lattice Sieving: Total time: 55593.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2539.37/2404.77
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1356.7, WCT time 1281.33, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12032 iterations)
Info:Linear Algebra: Lingen CPU time 403.17, WCT time 371.89
Info:Linear Algebra: Mksol: CPU time 741.57,  WCT time 716.39, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6016 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.07/41.6743
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.36/78.1676
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.0s
Info:Filtering - Merging: Merged matrix has 383750 rows and total weight 65476816 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 86.32/69.5448
Info:Filtering - Merging: Total cpu/real time for replay: 14.28/15.6399
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/1.95118
Info:Quadratic Characters: Total cpu/real time for characters: 12.82/11.1604
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 53017.2/31150.2
Info:root: Cleaning up computation data in /tmp/cado.t2x40mr7
8858259286257975655561839606763709768489717500075552734249514267 69577115945006674024125033201348709608090577771291687
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10161-149

c146

name 名前Bob Backstrom
date 日付June 1, 2022 11:07:01 UTC 2022 年 6 月 1 日 (水) 20 時 7 分 1 秒 (日本時間)
composite number 合成数
14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343<146>
prime factors 素因数
1314069184353726727784570530252201896152108153273<49>
11398143558374773128077523488747601679168305969680803872567991480202952397682675387553319534438591<98>
factorization results 素因数分解の結果
Number: n
N=14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343  ( 146 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun  1 20:52:21 2022  p49 factor: 1314069184353726727784570530252201896152108153273
Wed Jun  1 20:52:21 2022  p98 factor: 11398143558374773128077523488747601679168305969680803872567991480202952397682675387553319534438591
Wed Jun  1 20:52:21 2022  elapsed time 00:08:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 23x10^161-14 = 25(160)4
#
n: 14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343
m: 100000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 4.714e-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, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1082651 hash collisions in 12349244 relations (12056514 unique)
Msieve: matrix is 508953 x 509178 (174.9 MB)

Sieving start time : 2022/06/01 20:00:47
Sieving end time  : 2022/06/01 20:44:06

Total sieving time: 0hrs 43min 19secs.

Total relation processing time: 0hrs 4min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10166-149

c164

name 名前Bob Backstrom
date 日付June 3, 2022 12:32:46 UTC 2022 年 6 月 3 日 (金) 21 時 32 分 46 秒 (日本時間)
composite number 合成数
41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653<164>
prime factors 素因数
85073405549105548675115497920133622190880967453378366505241179101224277<71>
486074718372768249806483701799423109175231421544742109476249628807886121348360854164427752089<93>
factorization results 素因数分解の結果
Number: n
N=41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Jun  3 22:27:59 2022  p71 factor: 85073405549105548675115497920133622190880967453378366505241179101224277
Fri Jun  3 22:27:59 2022  p93 factor: 486074718372768249806483701799423109175231421544742109476249628807886121348360854164427752089
Fri Jun  3 22:27:59 2022  elapsed time 00:09:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 23x10^166-14 = 25(165)4
#
n: 41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653
m: 1000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 3.004e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1266160 hash collisions in 11918476 relations (11357763 unique)
Msieve: matrix is 605460 x 605685 (208.0 MB)

Sieving start time : 2022/06/03 21:35:06
Sieving end time  : 2022/06/03 22:17:50

Total sieving time: 0hrs 42min 44secs.

Total relation processing time: 0hrs 5min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10167-149

c161

name 名前Bob Backstrom
date 日付June 4, 2022 08:15:06 UTC 2022 年 6 月 4 日 (土) 17 時 15 分 6 秒 (日本時間)
composite number 合成数
23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643<161>
prime factors 素因数
86917308812456823267944744679421097347<38>
265893218824816814510430169466181915009249597571200613725713755431345923194041885372010003683577290695968179761706187957169<123>
factorization results 素因数分解の結果
Number: n
N=23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643  ( 161 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jun  4 18:02:13 2022  p38 factor: 86917308812456823267944744679421097347
Sat Jun  4 18:02:13 2022  p123 factor: 265893218824816814510430169466181915009249597571200613725713755431345923194041885372010003683577290695968179761706187957169
Sat Jun  4 18:02:13 2022  elapsed time 00:12:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^167-14 = 25(166)4
#
n: 23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643
m: 1000000000000000000000000000000000
deg: 5
c5: 1150
c0: -7
skew: 0.36
# Murphy_E = 2.253e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1315189 hash collisions in 12132459 relations (11532163 unique)
Msieve: matrix is 719712 x 719937 (249.0 MB)

Sieving start time : 2022/06/04 17:05:29
Sieving end time  : 2022/06/04 17:49:26

Total sieving time: 0hrs 43min 57secs.

Total relation processing time: 0hrs 7min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 47sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10168-149

c150

name 名前Bob Backstrom
date 日付June 5, 2022 20:36:25 UTC 2022 年 6 月 6 日 (月) 5 時 36 分 25 秒 (日本時間)
composite number 合成数
121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081<150>
prime factors 素因数
82609404223432244059836936210448065341377799<44>
1474570005174957224479035128369892594430105286132524293539343583081249313978027829911653350070338807252119<106>
factorization results 素因数分解の結果
Number: n
N=121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081  ( 150 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon Jun  6 06:32:06 2022  p44 factor: 82609404223432244059836936210448065341377799
Mon Jun  6 06:32:06 2022  p106 factor: 1474570005174957224479035128369892594430105286132524293539343583081249313978027829911653350070338807252119
Mon Jun  6 06:32:06 2022  elapsed time 00:10:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^168-14 = 25(167)4
#
n: 121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081
m: 1000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 2.395e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1305460 hash collisions in 12513189 relations (11958917 unique)
Msieve: matrix is 672530 x 672755 (234.9 MB)

Sieving start time : 2022/06/06 05:26:08
Sieving end time  : 2022/06/06 06:21:15

Total sieving time: 0hrs 55min 7secs.

Total relation processing time: 0hrs 6min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10169-149

c168

name 名前Bob Backstrom
date 日付June 3, 2022 01:29:07 UTC 2022 年 6 月 3 日 (金) 10 時 29 分 7 秒 (日本時間)
composite number 合成数
473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<168>
prime factors 素因数
24249911645776261084968991896492046117781911<44>
601750117578817867894791684209496722613116903314882609<54>
32431364576286444530936151737616407664233097132626905962525057757350949<71>
factorization results 素因数分解の結果
Number: n
N=473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun  3 11:16:16 2022  found factor: 601750117578817867894791684209496722613116903314882609
Fri Jun  3 11:17:11 2022  found factor: 601750117578817867894791684209496722613116903314882609
Fri Jun  3 11:18:58 2022  p44 factor: 24249911645776261084968991896492046117781911
Fri Jun  3 11:18:58 2022  p54 factor: 601750117578817867894791684209496722613116903314882609
Fri Jun  3 11:18:58 2022  p71 factor: 32431364576286444530936151737616407664233097132626905962525057757350949
Fri Jun  3 11:18:58 2022  elapsed time 00:15:39 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 23x10^169-14 = 25(168)4
#
n: 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251
m: 5000000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 1.896e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1409668 hash collisions in 12519208 relations (11837817 unique)
Msieve: matrix is 783273 x 783499 (271.6 MB)

Sieving start time : 2022/06/03 09:26:54
Sieving end time  : 2022/06/03 11:02:27

Total sieving time: 1hrs 35min 33secs.

Total relation processing time: 0hrs 8min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 37sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10170-149

c121

name 名前Eric Jeancolas
date 日付June 3, 2022 16:50:12 UTC 2022 年 6 月 4 日 (土) 1 時 50 分 12 秒 (日本時間)
composite number 合成数
8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567<121>
prime factors 素因数
1022795174149904316745815799543756761976232157049310728566889<61>
8588223192657588563157769984786263535422685932350198124475103<61>
factorization results 素因数分解の結果
8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567=8588223192657588563157769984786263535422685932350198124475103*1022795174149904316745815799543756761976232157049310728566889

cado polynomial
n: 8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567
skew: 7208.231
c0: 151480021614478179421546440
c1: 75592757103430841272506
c2: -5824870635898497107
c3: -5343320562822371
c4: 68141381772
c5: 211680
Y0: 74296552582737189399263
Y1: 3731780382748018261
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.376e-06
# f(x) = 211680*x^5+68141381772*x^4-5343320562822371*x^3-5824870635898497107*x^2+75592757103430841272506*x+151480021614478179421546440
# g(x) = 3731780382748018261*x+74296552582737189399263

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: 8588223192657588563157769984786263535422685932350198124475103 1022795174149904316745815799543756761976232157049310728566889
Info:Square Root: Total cpu/real time for sqrt: 262.06/78.3134
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.26/138.716
Info:Linear Algebra: Total cpu/real time for bwc: 6140.58/2507.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3725.65, WCT time 1837.87, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.74, WCT time 36.81
Info:Linear Algebra: Mksol: CPU time 2192.95,  WCT time 566.94, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13755553
Info:Lattice Sieving: Average J: 1897.96 for 302271 special-q, max bucket fill -bkmult 1.0,1s:1.259860
Info:Lattice Sieving: Total time: 68111.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.37813
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1717.14
Info:Polynomial Selection (root optimized): Rootsieve time: 1714.68
Info:Generate Free Relations: Total cpu/real time for freerel: 126.45/33.1485
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.42/102.366
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.80000000000001s
Info:Filtering - Merging: Merged matrix has 796467 rows and total weight 80650879 (101.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.97/49.7367
Info:Filtering - Merging: Total cpu/real time for replay: 22.62/25.3399
Info:Quadratic Characters: Total cpu/real time for characters: 25.86/9.91015
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): 20095/35.660/43.266/48.300/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16203/34.450/38.321/43.730/0.872
Info:Polynomial Selection (size optimized): Total time: 2247.58
Info:Square Root: Total cpu/real time for sqrt: 262.06/78.3134
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.54/292.877
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 263.90000000000003s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78489.7/38276
Info:root: Cleaning up computation data in /tmp/cado.fbmcu59w
8588223192657588563157769984786263535422685932350198124475103 1022795174149904316745815799543756761976232157049310728566889
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10171-149

c153

name 名前Bob Backstrom
date 日付June 5, 2022 17:59:40 UTC 2022 年 6 月 6 日 (月) 2 時 59 分 40 秒 (日本時間)
composite number 合成数
622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677<153>
prime factors 素因数
3879872575163600310132960327693368187677<40>
33601529957134497564363468309732329886467<41>
4773157833876102419406758963189467780466570644623104307047366558849958803<73>
factorization results 素因数分解の結果
Number: n
N=622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677  ( 153 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Jun  6 03:52:37 2022  found factor: 33601529957134497564363468309732329886467
Mon Jun  6 03:54:29 2022  p40 factor: 3879872575163600310132960327693368187677
Mon Jun  6 03:54:29 2022  p41 factor: 33601529957134497564363468309732329886467
Mon Jun  6 03:54:29 2022  p73 factor: 4773157833876102419406758963189467780466570644623104307047366558849958803
Mon Jun  6 03:54:29 2022  elapsed time 00:16:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^171-14 = 25(170)4
#
n: 622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677
m: 10000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 1.905e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1294952 hash collisions in 12046500 relations (11463503 unique)
Msieve: matrix is 824581 x 824807 (286.5 MB)

Sieving start time : 2022/06/06 02:25:58
Sieving end time  : 2022/06/06 03:38:02

Total sieving time: 1hrs 12min 4secs.

Total relation processing time: 0hrs 10min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10173-149

c157

name 名前Bob Backstrom
date 日付June 5, 2022 09:16:09 UTC 2022 年 6 月 5 日 (日) 18 時 16 分 9 秒 (日本時間)
composite number 合成数
2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989<157>
prime factors 素因数
40997898565469070353720548724276814470383<41>
2086819741573021283450898431701798066715616983748707<52>
30001633212256217857185162124431941065400707411714572473651805169<65>
factorization results 素因数分解の結果
Number: n
N=2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989  ( 157 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Jun  5 19:09:48 2022  found factor: 40997898565469070353720548724276814470383
Sun Jun  5 19:12:02 2022  p41 factor: 40997898565469070353720548724276814470383
Sun Jun  5 19:12:02 2022  p52 factor: 2086819741573021283450898431701798066715616983748707
Sun Jun  5 19:12:02 2022  p65 factor: 30001633212256217857185162124431941065400707411714572473651805169
Sun Jun  5 19:12:02 2022  elapsed time 00:17:39 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 23x10^173-14 = 25(172)4
#
n: 2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989
m: 10000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 1.518e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1463084 hash collisions in 12485444 relations (11732997 unique)
Msieve: matrix is 809958 x 810183 (283.7 MB)

Sieving start time : 2022/06/05 18:01:18
Sieving end time  : 2022/06/05 18:54:07

Total sieving time: 0hrs 52min 49secs.

Total relation processing time: 0hrs 9min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10174-149

c173

name 名前Bob Backstrom
date 日付June 3, 2022 19:47:39 UTC 2022 年 6 月 4 日 (土) 4 時 47 分 39 秒 (日本時間)
composite number 合成数
75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<173>
prime factors 素因数
12679524641771456323919269632912632500435899696013795337<56>
5927935061949560552537129881302410031341706743561210036301408807787045325326614669632578682235821345717839135761762713<118>
factorization results 素因数分解の結果
Number: n
N=75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281  ( 173 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Jun  4 05:43:47 2022  p56 factor: 12679524641771456323919269632912632500435899696013795337
Sat Jun  4 05:43:47 2022  p118 factor: 5927935061949560552537129881302410031341706743561210036301408807787045325326614669632578682235821345717839135761762713
Sat Jun  4 05:43:47 2022  elapsed time 00:22:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 23x10^174-14 = 25(173)4
#
n: 75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
m: 50000000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 1.199e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1474953 hash collisions in 11772086 relations (10939318 unique)
Msieve: matrix is 1025243 x 1025471 (355.9 MB)

Sieving start time : 2022/06/04 04:11:17
Sieving end time  : 2022/06/04 05:21:30

Total sieving time: 1hrs 10min 13secs.

Total relation processing time: 0hrs 17min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10177-149

c174

name 名前Bob Backstrom
date 日付June 4, 2022 21:08:09 UTC 2022 年 6 月 5 日 (日) 6 時 8 分 9 秒 (日本時間)
composite number 合成数
109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393<174>
prime factors 素因数
4917742691468482873593580687415456803467494970001<49>
22228603060416633875117362898808438130202871614877945408520180236039063236045604486323441935345334526127611487760231444246393<125>
factorization results 素因数分解の結果
Number: n
N=109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393  ( 174 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Jun  5 07:04:07 2022  p49 factor: 4917742691468482873593580687415456803467494970001
Sun Jun  5 07:04:07 2022  p125 factor: 22228603060416633875117362898808438130202871614877945408520180236039063236045604486323441935345334526127611487760231444246393
Sun Jun  5 07:04:07 2022  elapsed time 00:26:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 23x10^177-14 = 25(176)4
#
n: 109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393
m: 100000000000000000000000000000000000
deg: 5
c5: 1150
c0: -7
skew: 0.36
# Murphy_E = 9.01e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4337138 hash collisions in 28990160 relations (26042050 unique)
Msieve: matrix is 1073385 x 1073613 (365.9 MB)

Sieving start time : 2022/06/05 03:51:54
Sieving end time  : 2022/06/05 06:36:41

Total sieving time: 2hrs 44min 47secs.

Total relation processing time: 0hrs 18min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10178-149

c167

name 名前Bob Backstrom
date 日付June 17, 2022 20:19:34 UTC 2022 年 6 月 18 日 (土) 5 時 19 分 34 秒 (日本時間)
composite number 合成数
15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923<167>
prime factors 素因数
2781922461521724855958526261913701733928503491883445087728303526122919987<73>
5632355499883848249339392163180611348219171885698607919944790638374658685907344797265834480929<94>
factorization results 素因数分解の結果
Number: n
N=15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Jun 18 06:14:42 2022  p73 factor: 2781922461521724855958526261913701733928503491883445087728303526122919987
Sat Jun 18 06:14:42 2022  p94 factor: 5632355499883848249339392163180611348219171885698607919944790638374658685907344797265834480929
Sat Jun 18 06:14:42 2022  elapsed time 00:23:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 23x10^178-14 = 25(177)4
#
n: 15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923
m: 100000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 9.571e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4054272 hash collisions in 29690224 relations (27187272 unique)
Msieve: matrix is 990626 x 990852 (339.6 MB)

Sieving start time : 2022/06/18 04:46:07
Sieving end time  : 2022/06/18 05:50:36

Total sieving time: 1hrs 4min 29secs.

Total relation processing time: 0hrs 15min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 12:54:16 UTC 2022 年 6 月 9 日 (木) 21 時 54 分 16 秒 (日本時間)

23×10179-149

c172

name 名前Bob Backstrom
date 日付June 6, 2022 05:04:57 UTC 2022 年 6 月 6 日 (月) 14 時 4 分 57 秒 (日本時間)
composite number 合成数
3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689<172>
prime factors 素因数
7353200157373741291307017056666551537<37>
70564510582503870118075209144821389609024999<44>
6210295352727221666218592719424726263446288623100908119985896636801946044171960815866928103<91>
factorization results 素因数分解の結果
Number: n
N=3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:

Mon Jun  6 14:59:45 2022  found factor: 518874970320268490510890903196090295209599886414494574198202708057754386154873463
Mon Jun  6 15:00:45 2022  p37 factor: 7353200157373741291307017056666551537
Mon Jun  6 15:00:45 2022  p44 factor: 70564510582503870118075209144821389609024999
Mon Jun  6 15:00:45 2022  p91 factor: 6210295352727221666218592719424726263446288623100908119985896636801946044171960815866928103
Mon Jun  6 15:00:45 2022  elapsed time 00:23:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 23x10^179-14 = 25(178)4
#
n: 3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689
m: 500000000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 7.547e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3044062 hash collisions in 28597873 relations (27286001 unique)
Msieve: matrix is 963788 x 964015 (327.7 MB)

Sieving start time : 2022/06/06 08:26:05
Sieving end time  : 2022/06/06 14:36:18

Total sieving time: 6hrs 10min 13secs.

Total relation processing time: 0hrs 14min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10183-149

c178

name 名前Bob Backstrom
date 日付June 11, 2022 14:29:15 UTC 2022 年 6 月 11 日 (土) 23 時 29 分 15 秒 (日本時間)
composite number 合成数
1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789<178>
prime factors 素因数
7032514017693177730742379981570458218071866405333<49>
913329154954390196294952811403752038819161718869938825129543<60>
257460391469149193554495938771311776101525695667463251659239300557631<69>
factorization results 素因数分解の結果
Number: n
N=1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789  ( 178 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sun Jun 12 00:23:14 2022  found factor: 913329154954390196294952811403752038819161718869938825129543
Sun Jun 12 00:24:34 2022  p49 factor: 7032514017693177730742379981570458218071866405333
Sun Jun 12 00:24:34 2022  p60 factor: 913329154954390196294952811403752038819161718869938825129543
Sun Jun 12 00:24:34 2022  p69 factor: 257460391469149193554495938771311776101525695667463251659239300557631
Sun Jun 12 00:24:34 2022  elapsed time 00:23:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 23x10^183-14 = 25(182)4
#
n: 1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789
m: 1000000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 6.009e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3164648 hash collisions in 29352564 relations (27972074 unique)
Msieve: matrix is 941939 x 942165 (327.4 MB)

Sieving start time : 2022/06/11 21:04:03
Sieving end time  : 2022/06/12 00:00:21

Total sieving time: 2hrs 56min 18secs.

Total relation processing time: 0hrs 13min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 8, 2022 19:31:45 UTC 2022 年 6 月 9 日 (木) 4 時 31 分 45 秒 (日本時間)

23×10186-149

c145

name 名前Eric Jeancolas
date 日付July 24, 2022 22:17:39 UTC 2022 年 7 月 25 日 (月) 7 時 17 分 39 秒 (日本時間)
composite number 合成数
4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649<145>
prime factors 素因数
6720294774576617650408757916170976450375682890737<49>
661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777<96>
factorization results 素因数分解の結果
4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649=6720294774576617650408757916170976450375682890737*661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777

cado polynomial
n: 4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649
skew: 0.57
type: snfs
c0: -7
c5: 115
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^5-7
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9200000
tasks.lim1 = 9200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 6720294774576617650408757916170976450375682890737
Info:Square Root: Total cpu/real time for sqrt: 860.63/263.669
Info:Square Root: Total cpu/real time for sqrt: 860.63/263.669
Info:Generate Free Relations: Total cpu/real time for freerel: 119.11/32.7903
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.17/118.359
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.50000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.3/393.631
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.7s
Info:Linear Algebra: Total cpu/real time for bwc: 54421.4/13959.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34867.24, WCT time 8900.37, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56576 iterations)
Info:Linear Algebra: Lingen CPU time 351.96, WCT time 89.41
Info:Linear Algebra: Mksol: CPU time 18865.11,  WCT time 4837.21, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.88/2.12646
Info:Filtering - Merging: Merged matrix has 1806633 rows and total weight 308781466 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 477.8/132.849
Info:Filtering - Merging: Total cpu/real time for replay: 69.69/59.1777
Info:Filtering - Singleton removal: Total cpu/real time for purge: 282.96/313.007
Info:Quadratic Characters: Total cpu/real time for characters: 64.73/27.4109
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24362148
Info:Lattice Sieving: Average J: 1894.52 for 1669879 special-q, max bucket fill -bkmult 1.0,1s:1.160420
Info:Lattice Sieving: Total time: 300094s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 624724/100167
661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 6720294774576617650408757916170976450375682890737
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B1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 09:18:44 UTC 2022 年 6 月 10 日 (金) 18 時 18 分 44 秒 (日本時間)

23×10188-149

c172

name 名前Bob Backstrom
date 日付June 21, 2022 05:07:02 UTC 2022 年 6 月 21 日 (火) 14 時 7 分 2 秒 (日本時間)
composite number 合成数
8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639<172>
prime factors 素因数
56529458538594055147492410685304705988699724375270231470669703<62>
145515546425637352643331191213154600112657548077742598113859028260197812367880674496089562540789434745057054513<111>
factorization results 素因数分解の結果
Number: n
N=8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639  ( 172 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Jun 21 15:00:05 2022  p62 factor: 56529458538594055147492410685304705988699724375270231470669703
Tue Jun 21 15:00:05 2022  p111 factor: 145515546425637352643331191213154600112657548077742598113859028260197812367880674496089562540789434745057054513
Tue Jun 21 15:00:05 2022  elapsed time 00:37:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^188-14 = 25(187)4
#
n: 8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639
m: 10000000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 3.757e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 32150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3080877 hash collisions in 28876428 relations (27549906 unique)
Msieve: matrix is 1237236 x 1237462 (431.1 MB)

Sieving start time : 2022/06/21 03:41:49
Sieving end time  : 2022/06/21 14:21:47

Total sieving time: 10hrs 39min 58secs.

Total relation processing time: 0hrs 26min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 16:01:51 UTC 2022 年 6 月 20 日 (月) 1 時 1 分 51 秒 (日本時間)

23×10190-149

c169

name 名前Bob Backstrom
date 日付June 24, 2022 07:02:53 UTC 2022 年 6 月 24 日 (金) 16 時 2 分 53 秒 (日本時間)
composite number 合成数
1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329<169>
prime factors 素因数
39860755748375757976273376972489092888083609817123295762597<59>
32455817313168183739625469309874487247306210018087307386084789301179695407869103245729188851319125233291008957<110>
factorization results 素因数分解の結果
Number: n
N=1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329  ( 169 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Jun 24 16:58:15 2022  p59 factor: 39860755748375757976273376972489092888083609817123295762597
Fri Jun 24 16:58:15 2022  p110 factor: 32455817313168183739625469309874487247306210018087307386084789301179695407869103245729188851319125233291008957
Fri Jun 24 16:58:15 2022  elapsed time 00:33:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 23x10^190-14 = 25(189)4
#
n: 1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329
m: 100000000000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 3.775e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3256739 hash collisions in 28939670 relations (27394126 unique)
Msieve: matrix is 1202613 x 1202838 (416.8 MB)

Sieving start time : 2022/06/24 12:01:31
Sieving end time  : 2022/06/24 16:23:59

Total sieving time: 4hrs 22min 28secs.

Total relation processing time: 0hrs 24min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 20:33:48 UTC 2022 年 6 月 22 日 (水) 5 時 33 分 48 秒 (日本時間)

23×10191-149

c167

name 名前Bob Backstrom
date 日付July 14, 2022 15:35:11 UTC 2022 年 7 月 15 日 (金) 0 時 35 分 11 秒 (日本時間)
composite number 合成数
74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343<167>
prime factors 素因数
165824427646343924165211967364681821293683548789775175199643247779<66>
450511961438882418422493623713257274152701715921996840019417321800526007379477999576381457429167512917<102>
factorization results 素因数分解の結果
Number: n
N=74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343  ( 167 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jul 15 01:24:16 2022  p66 factor: 165824427646343924165211967364681821293683548789775175199643247779
Fri Jul 15 01:24:16 2022  p102 factor: 450511961438882418422493623713257274152701715921996840019417321800526007379477999576381457429167512917
Fri Jul 15 01:24:16 2022  elapsed time 00:50:53 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^191-14 = 25(190)4
#
n: 74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343
m: 100000000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 2.946e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3211127 hash collisions in 28071372 relations (26487374 unique)
Msieve: matrix is 1436744 x 1436969 (501.5 MB)

Sieving start time : 2022/07/14 19:39:02
Sieving end time  : 2022/07/15 00:32:47

Total sieving time: 4hrs 53min 45secs.

Total relation processing time: 0hrs 37min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 43sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 22, 2022 16:44:38 UTC 2022 年 6 月 23 日 (木) 1 時 44 分 38 秒 (日本時間)

23×10192-149

c176

name 名前Bob Backstrom
date 日付June 27, 2022 22:59:03 UTC 2022 年 6 月 28 日 (火) 7 時 59 分 3 秒 (日本時間)
composite number 合成数
73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891<176>
prime factors 素因数
158684962051156385106232488947391487503764410559474808660461<60>
464805905777069087481440308606883938678611774598932968158885571764752467888226414402717447310199290699505869729978631<117>
factorization results 素因数分解の結果
Number: n
N=73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891  ( 176 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Jun 28 08:12:20 2022  p60 factor: 158684962051156385106232488947391487503764410559474808660461
Tue Jun 28 08:12:20 2022  p117 factor: 464805905777069087481440308606883938678611774598932968158885571764752467888226414402717447310199290699505869729978631
Tue Jun 28 08:12:20 2022  elapsed time 01:02:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^192-14 = 25(191)4
#
n: 73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891
m: 100000000000000000000000000000000000000
deg: 5
c5: 1150
c0: -7
skew: 0.36
# Murphy_E = 2.204e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3643097 hash collisions in 28733416 relations (26662934 unique)
Msieve: matrix is 1630764 x 1630989 (565.7 MB)

Sieving start time : 2022/06/28 00:13:21
Sieving end time  : 2022/06/28 07:08:53

Total sieving time: 6hrs 55min 32secs.

Total relation processing time: 0hrs 52min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 16:45:18 UTC 2022 年 6 月 27 日 (月) 1 時 45 分 18 秒 (日本時間)

23×10193-149

c138

composite cofactor 合成数の残り
103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331<138>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 18, 2022 13:25:11 UTC 2022 年 7 月 18 日 (月) 22 時 25 分 11 秒 (日本時間)

23×10195-149

c191

name 名前Bob Backstrom
date 日付July 22, 2022 11:36:48 UTC 2022 年 7 月 22 日 (金) 20 時 36 分 48 秒 (日本時間)
composite number 合成数
65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187<191>
prime factors 素因数
2674978959941865768111382919182017568386879335978319534649<58>
2987657111346971264249605229855313683676827569799264626740260587733<67>
8169419371368547743527743072426574837604871650033684077079341085911<67>
factorization results 素因数分解の結果
Number: n
N=65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187  ( 191 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Jul 22 21:04:29 2022  found factor: 2674978959941865768111382919182017568386879335978319534649
Fri Jul 22 21:06:26 2022  p58 factor: 2674978959941865768111382919182017568386879335978319534649
Fri Jul 22 21:06:26 2022  p67 factor: 2987657111346971264249605229855313683676827569799264626740260587733
Fri Jul 22 21:06:26 2022  p67 factor: 8169419371368547743527743072426574837604871650033684077079341085911
Fri Jul 22 21:06:26 2022  elapsed time 00:58:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^195-14 = 25(194)4
#
n: 65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 2.343e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3389159 hash collisions in 28840867 relations (27112718 unique)
Msieve: matrix is 1551583 x 1551808 (540.8 MB)

Sieving start time : 2022/07/22 14:09:57
Sieving end time  : 2022/07/22 20:07:01

Total sieving time: 5hrs 57min 4secs.

Total relation processing time: 0hrs 46min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 54sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10196-149

c195

name 名前Bob Backstrom
date 日付July 26, 2022 18:20:17 UTC 2022 年 7 月 27 日 (水) 3 時 20 分 17 秒 (日本時間)
composite number 合成数
473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<195>
prime factors 素因数
11316476338910627426105720235466070877103868651<47>
41819645500371499649863955022739572824548437596555247622871165642400747330487384537746805500458288541299946960129503121668616418593046367242414314601<149>
factorization results 素因数分解の結果
Number: n
N=473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jul 27 03:57:27 2022  p47 factor: 11316476338910627426105720235466070877103868651
Wed Jul 27 03:57:27 2022  p149 factor: 41819645500371499649863955022739572824548437596555247622871165642400747330487384537746805500458288541299946960129503121668616418593046367242414314601
Wed Jul 27 03:57:27 2022  elapsed time 01:17:31 (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 = 23x10^196-14 = 25(195)4
#
n: 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251
m: 1000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 1.827e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3477880 hash collisions in 27736433 relations (25775012 unique)
Msieve: matrix is 1807410 x 1807635 (630.8 MB)

Sieving start time : 2022/07/26 20:32:57
Sieving end time  : 2022/07/27 02:39:26

Total sieving time: 6hrs 6min 29secs.

Total relation processing time: 1hrs 7min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10197-149

c172

composite cofactor 合成数の残り
2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10199-149

c174

composite cofactor 合成数の残り
125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10200-149

c189

composite cofactor 合成数の残り
715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10203-149

c182

composite cofactor 合成数の残り
47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10204-149

c190

composite cofactor 合成数の残り
9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10208-149

c167

composite cofactor 合成数の残り
42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10209-149

c172

composite cofactor 合成数の残り
1176895885918387166202768094759602642512885980890300172007284603642234909860422728900653989450506204846319376604372565456266086166004016028980066617816481785689259385729613<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10211-149

c180

composite cofactor 合成数の残り
129295231502747387991904484694689748405439805626635180755143040807692999988330933150656615594382337971051751270988833970438058428286639469449695861280871854188869248942286928149707<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10212-149

c199

composite cofactor 合成数の残り
1823689087133776803355016799641437137683103402536977718076795243179758808750979938998013499976573993091012537376722291558322133121794430875068224962447270381130492187042128606698419989455427401898353<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10215-149

c157

composite cofactor 合成数の残り
1820853928637894689901751094729452963260647327379702939258530323682282344731899482793263829467120894376264330579246789417234778746038973121459565722810360867<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10218-149

c217

composite cofactor 合成数の残り
1799687010954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377151799687010954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377151799687<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10219-149

c199

composite cofactor 合成数の残り
2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10220-149

c141

name 名前Ignacio Santos
date 日付June 5, 2022 19:17:25 UTC 2022 年 6 月 6 日 (月) 4 時 17 分 25 秒 (日本時間)
composite number 合成数
167421208252602135559276002167269249840087733703862919978637802223905538407377824119115408963346999218748661813518314045226904989435695186599<141>
prime factors 素因数
1082145777346944027430302316230886598848173007717<49>
154712250195220827797715013777261639659226819774242436561937084432530272743267129852602366747<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:834170114
Step 1 took 21578ms
Step 2 took 10657ms
********** Factor found in step 2: 1082145777346944027430302316230886598848173007717
Found prime factor of 49 digits: 1082145777346944027430302316230886598848173007717
Prime cofactor 154712250195220827797715013777261639659226819774242436561937084432530272743267129852602366747 has 93 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 13:17:14 UTC 2022 年 6 月 3 日 (金) 22 時 17 分 14 秒 (日本時間)

23×10221-149

c209

composite cofactor 合成数の残り
12333975246246783048532432658120112302133692525388983757674775787092567463045823945915057516914838375700398550116183035335334440763338362530613439380928199853614010262579924191185536993810748169154462237125437<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10222-149

c180

composite cofactor 合成数の残り
669755723955266435413855841980081268021768498419910446623688372235812602015184551937883564057425826456684270584398703627621562475488387683774158753358685365208970875497276047564907<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10223-149

c171

composite cofactor 合成数の残り
821580084386214651180483586708712191741557679740898699499490354748636965554517654996358996372552091108254746387709345950356705534861338127618970805343782028278842742719337<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10224-149

c196

composite cofactor 合成数の残り
2096116662311051256948208482187150611119051691288817325293720937581449819661266085131050153213142514077679996374511647054062184506210617188733986089366105255907437831691819442486404788220574685251<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10225-149

c190

composite cofactor 合成数の残り
5304884379158203766478899411466690157543101512730084220455563136141220758431315420202618759715189234520086691975203048244195176307168133367466551119669848367455968119591460345083698178154273<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10226-149

c185

composite cofactor 合成数の残り
13822965268266886819811487985354410429003507332412725002121146934205162196171173160844697349166290335425614298500342331633683764265661429768754718881273365197875851577057258856156389769<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10227-149

c196

composite cofactor 合成数の残り
3234796396706811801605306353725037829534424254542652781874603357291438587187535516733787642414622507984532615416717633878992505637831020611788240796915001262308840989222087027151559810997502340059<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10228-149

c218

composite cofactor 合成数の残り
34902287742600401462971723867647904489135120242305003621313891244143597840633624079203235017125335370421539951792159966686741671356522200551240924258954063432408464566923359626651279820606990384950687829563719771702467<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10229-149

c204

composite cofactor 合成数の残り
259946506813874149332154523769082356126735903979161882364339414884334550409529056491491255069881985866059988301499996638169650594152515977659905876374549911183699817241382487252064694809046560503393585663<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10231-149

c141

name 名前ebina
date 日付June 26, 2022 21:43:07 UTC 2022 年 6 月 27 日 (月) 6 時 43 分 7 秒 (日本時間)
composite number 合成数
340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349<141>
prime factors 素因数
2511501810896237213564568053764632940102051845271443568528180700531<67>
135672271514347068786642944464397530221171882591891083520059528878935591479<75>
factorization results 素因数分解の結果
Number: 25554_231
N = 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349 (141 digits)
Divisors found:
r1=2511501810896237213564568053764632940102051845271443568528180700531 (pp67)
r2=135672271514347068786642944464397530221171882591891083520059528878935591479 (pp75)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 47.32 hours.
Factorization parameters were as follows:
n: 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349
# norm 1.429200e-13 alpha -7.758092 e 1.780e-11 rroots 5
skew: 17076952.44
c0: 26865521563354253931431290912607606400
c1: 3285576838738973004203420711136
c2: -3553332369404112380800144
c3: 180993874283306024
c4: 11899886489
c5: 60
Y0: -5634483867462618793993017973
Y1: 172875501168041
type: gnfs
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23473687
Relations: 3733916 relations
Pruned matrix : 2246162 x 2246392
Polynomial selection time: 0.76 hours.
Total sieving time: 44.09 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.18 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,56,56,2.5,2.5,100000
total time: 47.32 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
processors: 8, speed: 2.81GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 13:17:21 UTC 2022 年 6 月 3 日 (金) 22 時 17 分 21 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 20:22:32 UTC 2022 年 6 月 6 日 (月) 5 時 22 分 32 秒 (日本時間)
5043e664541886Ignacio SantosJune 19, 2022 14:19:09 UTC 2022 年 6 月 19 日 (日) 23 時 19 分 9 秒 (日本時間)
4568Ignacio SantosJune 19, 2022 20:30:24 UTC 2022 年 6 月 20 日 (月) 5 時 30 分 24 秒 (日本時間)

23×10232-149

c170

composite cofactor 合成数の残り
33477024735973416039358538087724793421017308823315332205033298621731921256062882704558115102153555283062882997589027259868180282571091202879238536723299405690463838293677<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10233-149

c178

composite cofactor 合成数の残り
8766424730033892547668545001933760185897344408426844881708498537253498665184497741648346643087744778336889010658833009248933596534806536927802249006305537120766130980953579609953<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10234-149

c203

composite cofactor 合成数の残り
56344065572479422685148290104871186276876819925982055662849591535641787708665541021055074283293248677403151657955729256770108341651440059300567462638126514674832936039812509033722310628105219979826172171<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10235-149

c232

composite cofactor 合成数の残り
2993154785143541292522318523724005101376851201166028994560266520913042346633351552536373337497722599619999479451341714166731735248952395825199760547617188516696598214518102079591889851903906717680435178678326956612269331875797090133<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10236-149

c116

name 名前Markus Tervooren
date 日付May 30, 2022 18:54:45 UTC 2022 年 5 月 31 日 (火) 3 時 54 分 45 秒 (日本時間)
composite number 合成数
12734356044131549459503091343790861056854526184828751277108853411671484306946362889044499940770721869048993983905259<116>
prime factors 素因数
7705398111867148210753835651218861749366427<43>
1652653874498614288306721846741349424066286394798433485787593146773388017<73>
factorization results 素因数分解の結果
Info:Complete Factorization / Discrete logarithm: Linear Algebra
Info:Linear Algebra: Total cpu/real time for bwc: 9160.96/216.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2957.93, WCT time 117.01, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 4791.78, WCT time 43.58
Info:Linear Algebra: Mksol: CPU time 1350.52,  WCT time 49.7, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 25.59/4.0056
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 7705398111867148210753835651218861749366427 1652653874498614288306721846741349424066286394798433485787593146773388017
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 642.62/34.0679
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 155.36
Info:Polynomial Selection (root optimized): Rootsieve time: 154.74
Info:Generate Free Relations: Total cpu/real time for freerel: 84.41/3.26597
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 23189.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15857/34.150/41.096/46.190/1.063
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 12450/32.600/36.297/41.480/0.793
Info:Polynomial Selection (size optimized): Total time: 1087.95
Info:Quadratic Characters: Total cpu/real time for characters: 25.59/4.0056
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.65/17.1066
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.9s
Info:Square Root: Total cpu/real time for sqrt: 642.62/34.0679
Info:Linear Algebra: Total cpu/real time for bwc: 9160.96/216.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2957.93, WCT time 117.01, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 4791.78, WCT time 43.58
Info:Linear Algebra: Mksol: CPU time 1350.52,  WCT time 49.7, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7315440
Info:Lattice Sieving: Average J: 1918.7 for 148042 special-q, max bucket fill -bkmult 1.0,1s:1.236290
Info:Lattice Sieving: Total time: 24545.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.98/18.4237
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.52/36.9184
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.4s
Info:Filtering - Merging: Total cpu/real time for merge: 503.15/6.22385
Info:Filtering - Merging: Total cpu/real time for replay: 11.85/9.12134
Info:Generate Factor Base: Total cpu/real time for makefb: 4.31/0.2716
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 60035.4/838.388
Info:root: Cleaning up computation data in /tmp/cado.h9dflef3
7705398111867148210753835651218861749366427 1652653874498614288306721846741349424066286394798433485787593146773388017

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10237-149

c204

composite cofactor 合成数の残り
626154160922957961046376371009463685892753706685090088194391635798528128106525669452123872169815451461645820348895490331629305010157397672050802409622377244617294362080000814244941682389714695759108675533<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10238-149

c218

composite cofactor 合成数の残り
11414399989522673806751708961380984256343692748303004765962461855214813945042364333620098327442918691265089190367420358283669244268048124563741768189220637891793904415182819883938461889219154043546317756404543383991037<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10239-149

c212

composite cofactor 合成数の残り
18581671115180357487706893195977647338720660668154411677137998717092945070794848638565574348581617192174160345160003943326244513885073988045875996886816981777437576462426320954485753261339787897528422341960769141<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10241-149

c178

composite cofactor 合成数の残り
4171779979719537387934535787552572638225936622275503574878893253099269210964189577212152203367529185977452525003535128559784431348569811599934223437591979096819222805780794899609<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10242-149

c206

composite cofactor 合成数の残り
20765376821361878521657088987492438543198214934602457972096168150517554542174172482765466216723915387419630780536659682978457516158963902157967264800593628707523778458903688111841518633694213049816834219831<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10243-149

c186

composite cofactor 合成数の残り
157280281955692335394243565729537130704547619578674465428442421727458825485290571502320853905050298692184461061598109671516280761229046379990911085591273207843199999140380648223495005501<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10244-149

c203

composite cofactor 合成数の残り
48587874911109894809920910276759147340994018418192930706380758912646589030894968287532725826632234564545708737817730702076383050013960513824324703585977894504484213985264613726968725759549238271630880949<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10245-149

c202

composite cofactor 合成数の残り
1837079907627101459441977222136968372994843468444606238543273364339683141093129814030223151084474921023239778254328540790652590247428457434837228175127831267872776857495702699729759380450006786559167811<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10248-149

c188

composite cofactor 合成数の残り
25485395676898909225317235658266553333860460993746362069946124078582634937029956712254583355763651047311063496415482442766202663123805244380815505635458361371743447051536830132639133195237<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10249-149

c236

composite cofactor 合成数の残り
13151703060826688290657930456161430248734616850723562492508029258559185607093581783244505906310884059076693891006027999093648677551654758486072399247399768186667607440464406656749200706594190737886290060471254102137357703585255108922009<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10250-149

c183

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10251-149

c223

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10252-149

c246

composite cofactor 合成数の残り
858229642401081757418481057416533249271605576761290589317936544291328813373635797340488132661705203789613734719127931218043539407703633453254134409359270376442656043127009703293594315743580983332657943919095960298147485196844670211080461118577709<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10253-149

c179

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10254-149

c194

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10256-149

c241

composite cofactor 合成数の残り
2343206982589355933744626250461462898977003223694892821149710574219106338530613847549602105085294012711892309304551204136858449372249300878096441808851755630563670913171317685216777705770462160387661295393610937893789082149385124073566246699<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10257-149

c179

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10258-149

c242

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10259-149

c175

composite cofactor 合成数の残り
4822566919815168847877371092466751297473734369587373641813832762636537731973547064951091163830357586580752743793099409583599503099980678409043907818700238158150610258828718771<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 4, 2022 10:37:39 UTC 2022 年 6 月 4 日 (土) 19 時 37 分 39 秒 (日本時間)
4511e64480Ignacio SantosJune 7, 2022 19:19:07 UTC 2022 年 6 月 8 日 (水) 4 時 19 分 7 秒 (日本時間)

23×10260-149

c261

composite cofactor 合成数の残り
127777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10261-149

c225

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10262-149

c232

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10264-149

c188

composite cofactor 合成数の残り
22792026738636991780031065263852364672609094724085600520843219589784532521050468743224109976752909757323048844648200850660137839875283547725305191420378501130355572934057915804117637104393<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10266-149

c257

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10268-149

c254

composite cofactor 合成数の残り
78424696939735899892121446715848608408030379368416004464609280170685249975111105211679171476169602801962040221798660392242781931869861179898468447078146308261659254207450684351362962597629900029224838321378795932365057664101052940015091116654656577411703<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10269-149

c222

composite cofactor 合成数の残り
293283655111736006843921309739213107366967065894797116425970257732319771713431753997807673176929784178387725352422214006682153733272245100618423056094906060436211287551299951551167714280564475390721442407090265574707264681<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10271-149

c244

composite cofactor 合成数の残り
8901783578781131000189508123307911834440485809156354585820649261538547637095663219721922102456718918491081795276221550643658150871208204814127774098796008275264737595175959793972685582262534573541536758259575041039522612163389074854096511663909<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10273-149

c255

composite cofactor 合成数の残り
292574669959472741493541296567287110514785823482218480327639831442207839428122386609018040494944539366031945580324829755674450423094881943091043539897519387879408634725039614645146799104044318452064333928933470485279416670998756362504051152292068360382591<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10274-149

c210

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10275-149

c247

composite cofactor 合成数の残り
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ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10276-149

c254

composite cofactor 合成数の残り
15084971490283577013940092348382928350074692996683415190861547279747789549378551784968548755132795849813489102840521684941997319321384859570086722623328688287091197639843987236645628425180173492737384385388948481984678280373099818038964769058839440491443<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10277-149

c221

composite cofactor 合成数の残り
94845293325538681107246413625002148191638213364722129477403922796003562159766289179125495036541975068876744442785074430058744810011032856776718745173092153437082657694397017816618554407635439267477810783178659126736153487<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10279-149

c181

composite cofactor 合成数の残り
9179131949175619085542716363094127390863511003629717197740791370241975902287916393813511578905638051370213633545242504171122044805657107354990567991674862474238520588128217496119239<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 4, 2022 11:26:55 UTC 2022 年 6 月 4 日 (土) 20 時 26 分 55 秒 (日本時間)
4511e64480Ignacio SantosJune 8, 2022 10:18:20 UTC 2022 年 6 月 8 日 (水) 19 時 18 分 20 秒 (日本時間)

23×10282-149

c235

composite cofactor 合成数の残り
5521844488442738899074319945156009962505242739571040766418097871832567917120255011890770261524870254089865293014551592147269467699232637477119636273533833070491593860809669002785094050226791426522693898300060053516426635174923488152553<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10283-149

c263

composite cofactor 合成数の残り
36020790214510943751485586751630484222570602459618151003233423625908317025582010590048546346258874025181948959184772063474604717265309449467797706733293347433764981637977690854179041029659622003431291858499878182700344978949933856828915464381860974081587794776631<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10284-149

c269

composite cofactor 合成数の残り
58572642894822575387300190777733181891141513143184453150054199838813030730241314715817159850057219396351183827696833282604900789691478267028975253932183760066305495594028776726198636136075132037900701124608569366039592313062053043205215644851337250284812052187278469021<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10285-149

c282

composite cofactor 合成数の残り
362284598179126106543174873200390637305862709888794379863276942948051538921967047853069968181961377311533251425511136313517940963362001071102290268720662823299625114198405947768011845131210030557918281195854204076489304728601581451028573228743344989446492139999369939829253693727751<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10286-149

c228

composite cofactor 合成数の残り
606392987603444136548388399186151196221255902615539496167477155354599871111242434653593945050398461553639878610637480004016363597024931081526428835798927941979552970835652929069840320292072040180712056725921815838942557504777969<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10287-149

c260

composite cofactor 合成数の残り
50226939016250298611394956713144810780539278319941514063834790174047132371042634538943506178566689205890441732362741368797082345642742256224064637020194433765372100760557689783192873194964416267589449182939559916014306667666449779070476015095666614708370250483<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10288-149

c256

composite cofactor 合成数の残り
1469690983488200084948372996563507660888868429459150456932878111965638094932900662487578120576486062650101804620885608362863111011309521628458720752365163931944596289206542813784012792863392825046623806544052121710417502936464637754579875630828772085315691<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10289-149

c289

composite cofactor 合成数の残り
4259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10291-149

c244

composite cofactor 合成数の残り
3616528099532001128435172685322504759922717173143343243537132492482424145009669186326181250271996706364050559608455194626907898032349210314988654829892569072251358738113254579955168921558711822497881297854334855523359569843509016738341855027883<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10292-149

c238

composite cofactor 合成数の残り
1873178737426540392164086178122072347738482397915093963348140150372593356619141408331652936474005712362195671084149519523879802273030216431441185484122025447451386411007577277318399522434147262233908755103397585888593670059360256025440263<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10294-149

c236

composite cofactor 合成数の残り
73295731761698088970997972517854339337570081251538822018807453759861351834133715460885647623842861704053558417994494456929436032621751817462326310951187982825906552100855800182760879460917579204020387927337750493537511195233980081024193<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10298-149

c247

composite cofactor 合成数の残り
5238435719517509085620732548499312183458352583194439899687306621589499919669904766035269688971581050783453151081741939294717697847265503940264048500935547413952223696157515720519181411535544043703849646246727206519579102425238216074078623923838633<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

23×10299-149

c270

composite cofactor 合成数の残り
621351658798368996045901453015101735029324878729282307833432337094763138396063664521503471847784341778010557284115270947572014259887409597067638202254880970219161908285861662965516156507021231982181252431710443844147665983089530582192620047303217794911074157136254474149<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)