Table of contents 目次

4×10115-1399

c104

name 名前Ignacio Santos
date 日付December 28, 2021 19:28:25 UTC 2021 年 12 月 29 日 (水) 4 時 28 分 25 秒 (日本時間)
composite number 合成数
17385676621031903434746695234358914781735707982622165103218197562241220432267736158417911477958427509503<104>
prime factors 素因数
8835641001308258203482522770081079899<37>
1967675759852361077156273939602791521008155797445944769442176170797<67>
factorization results 素因数分解の結果
N=17385676621031903434746695234358914781735707982622165103218197562241220432267736158417911477958427509503
  ( 104 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=8835641001308258203482522770081079899 (pp37)
 r2=1967675759852361077156273939602791521008155797445944769442176170797 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.40 hours.
Scaled time: 3.14 units (timescale=7.874).
Factorization parameters were as follows:
n: 17385676621031903434746695234358914781735707982622165103218197562241220432267736158417911477958427509503
m: 100000000000000000000000000000
deg: 4
c4: 2
c0: -695
skew: 4.32
# Murphy_E = 7.863e-08
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 565001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65640 x 65886
Total sieving time: 0.39 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,4,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,20000
total time: 0.40 hours.
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10119-1399

c83

name 名前Ignacio Santos
date 日付December 28, 2021 19:41:06 UTC 2021 年 12 月 29 日 (水) 4 時 41 分 6 秒 (日本時間)
composite number 合成数
19129419121497412363556359148212090511322658745805265862603975765624438868712402327<83>
prime factors 素因数
6870105409603319539679803276520369<34>
2784443320877946561495003352814816277384397629383<49>
factorization results 素因数分解の結果
N=19129419121497412363556359148212090511322658745805265862603975765624438868712402327
  ( 83 digits)
Divisors found:
 r1=6870105409603319539679803276520369 (pp34)
 r2=2784443320877946561495003352814816277384397629383 (pp49)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.20 hours.
Scaled time: 1.56 units (timescale=7.868).
Factorization parameters were as follows:
name: 1
n:  19129419121497412363556359148212090511322658745805265862603975765624438868712402327
m:  11553086728474315616
deg: 4
c4: 1073766
c3: -2869250531
c2: 767742599546687
c1: 8010427918290357
c0: -479870158107732810057
skew: 1379.250
type: gnfs
# adj. I(F,S) = 46.029
# E(F1,F2) = 1.816735e-003
# GGNFS version 0.77.1-VC8(UTE) polyselect.
# Options were: 
# lcd=1, enumLCD=2, maxS1=56.00000000, seed=1640720148.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 55367 x 55593
Total sieving time: 0.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,82,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 0.20 hours
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10121-1399

c120

name 名前Ignacio Santos
date 日付December 28, 2021 21:37:24 UTC 2021 年 12 月 29 日 (水) 6 時 37 分 24 秒 (日本時間)
composite number 合成数
404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404039<120>
prime factors 素因数
46858741617182018489746617687023943070948447220444776511<56>
8622519301548032914666342869988324238317751161032867888605805049<64>
factorization results 素因数分解の結果
N=404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404039
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=46858741617182018489746617687023943070948447220444776511 (pp56)
 r2=8622519301548032914666342869988324238317751161032867888605805049 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.80 hours.
Scaled time: 6.24 units (timescale=7.843).
Factorization parameters were as follows:
n: 404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404039
m: 1000000000000000000000000000000
deg: 4
c4: 40
c0: -139
skew: 1.37
# Murphy_E = 3.866e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82716 x 82944
Total sieving time: 0.79 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 0.80 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10124-1399

c124

name 名前Ignacio Santos
date 日付December 28, 2021 21:42:24 UTC 2021 年 12 月 29 日 (水) 6 時 42 分 24 秒 (日本時間)
composite number 合成数
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444429<124>
prime factors 素因数
5662969903928192239074891424664643667<37>
784825722164177163225391099393816994257487235597273003097555058201260822656193459136287<87>
factorization results 素因数分解の結果
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444429
  ( 124 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=5662969903928192239074891424664643667 (pp37)
 r2=784825722164177163225391099393816994257487235597273003097555058201260822656193459136287 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.26 hours.
Scaled time: 9.94 units (timescale=7.868).
Factorization parameters were as follows:
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444429
m: 10000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 2.43
# Murphy_E = 2.879e-08
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82745 x 82971
Total sieving time: 1.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,75000
total time: 1.26 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10135-1399

c119

name 名前Bob Backstrom
date 日付December 29, 2021 08:41:11 UTC 2021 年 12 月 29 日 (水) 17 時 41 分 11 秒 (日本時間)
composite number 合成数
10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073<119>
prime factors 素因数
1287836090241310757221465787477878199972435526271559<52>
8506842750309969164958905002416476669535814469877453419453078713247<67>
factorization results 素因数分解の結果
CADO

STA:Wed 29 Dec 2021 15:40:10 AEDT (10,955,419,107,856,829,643,062,476,501,484,243,621,725,479,818,372,497,196,558,047,876,307,372,879,220,417,783,331,991,813,992,518,406,122,008,215,212,642,073 - C119)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073 2>&1 | tee -a log124

Debug:root: Looking for parameter file for c119 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.t2cvvqfc
Info:Database: Opened connection to database /tmp/cado.t2cvvqfc/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1095541910785682964306247650148424362172547981837249719655804787630737287922041778333
1991813992518406122008215212642073
Debug:root: Root parameter dictionary:
N = 10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073
skew: 15964.96
c0: -125662279253665784565357760
c1: -55461578834884413797256
c2: -172297541224849717
c3: 204503344142058
c4: -7443241000
c5: 211200
Y0: -48291024016433793921549
Y1: 17184129396509689
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 2.12e-09
# f(x) = 211200*x^5-7443241000*x^4+204503344142058*x^3-172297541224849717*x^2-55461578834884413797256*x-125662279253665784565357760
# g(x) = 17184129396509689*x-48291024016433793921549
...
Info:Square Root: finished
Info:Square Root: Factors: 1287836090241310757221465787477878199972435526271559 8506842750309969164958905002416476669535814469877453419453078713247
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 792.05/111.919
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10532/34.230/42.151/46.340/1.046
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10532/33.830/37.405/42.640/1.055
Info:Polynomial Selection (size optimized): Total time: 1150.17
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 342.42
Info:Polynomial Selection (root optimized): Rootsieve time: 341.48
Info:Generate Factor Base: Total cpu/real time for makefb: 23.54/2.11663
Info:Generate Free Relations: Total cpu/real time for freerel: 150.19/9.95197
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9946061
Info:Lattice Sieving: Average J: 7743.85 for 17393 special-q, max bucket fill: 0.607442
Info:Lattice Sieving: Total CPU time: 52960.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.59/31.0357
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.81/46.2872
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.91/32.0812
Info:Filtering - Merging: Total cpu/real time for merge: 409.65/330.314
Info:Filtering - Merging: Total cpu/real time for replay: 32.37/24.995
Info:Linear Algebra: Total cpu/real time for bwc: 16184.2/0.000462532
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 668.29
Info:Linear Algebra: Lingen CPU time 181.85, WCT time 18.2
Info:Linear Algebra: Mksol: WCT time 375.47
Info:Quadratic Characters: Total cpu/real time for characters: 32.68/7.76344
Info:Square Root: Total cpu/real time for sqrt: 792.05/111.919
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 72316.4/5341.7
Info:root: Cleaning up computation data in /tmp/cado.t2cvvqfc
1287836090241310757221465787477878199972435526271559 8506842750309969164958905002416476669535814469877453419453078713247

END:Wed 29 Dec 2021 17:09:12 AEDT (10,955,419,107,856,829,643,062,476,501,484,243,621,725,479,818,372,497,196,558,047,876,307,372,879,220,417,783,331,991,813,992,518,406,122,008,215,212,642,073 - C119)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10139-1399

c135

name 名前Ignacio Santos
date 日付December 29, 2021 11:59:40 UTC 2021 年 12 月 29 日 (水) 20 時 59 分 40 秒 (日本時間)
composite number 合成数
640317597528374073540476076133762346123677343962605452304342954105236197153788278986377243112583841585426371480254206086218764507195569<135>
prime factors 素因数
2002690772028275679723615588467908781161100054805774907<55>
319728640323176926741354576369674942422501835416744433528616086897591640901502467<81>
factorization results 素因数分解の結果
N=640317597528374073540476076133762346123677343962605452304342954105236197153788278986377243112583841585426371480254206086218764507195569
  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2002690772028275679723615588467908781161100054805774907 (pp55)
 r2=319728640323176926741354576369674942422501835416744433528616086897591640901502467 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.28 hours.
Scaled time: 33.38 units (timescale=7.806).
Factorization parameters were as follows:
n: 640317597528374073540476076133762346123677343962605452304342954105236197153788278986377243112583841585426371480254206086218764507195569
m: 100000000000000000000000000000000000
deg: 4
c4: 2
c0: -695
skew: 4.32
# Murphy_E = 5.416e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1165001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202573 x 202801
Total sieving time: 4.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,100000
total time: 4.28 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10142-1399

c100

name 名前Ignacio Santos
date 日付December 28, 2021 20:27:49 UTC 2021 年 12 月 29 日 (水) 5 時 27 分 49 秒 (日本時間)
composite number 合成数
2872756346860634613634239716102734713416499200566085470000940231559217733259871643798679129931682711<100>
prime factors 素因数
386393435024912883852918022194200470421<39>
7434795952667809704363330023204953612754303651496717154586491<61>
factorization results 素因数分解の結果
prp39 = 386393435024912883852918022194200470421
prp61 = 7434795952667809704363330023204953612754303651496717154586491
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10144-1399

c111

name 名前Ignacio Santos
date 日付December 29, 2021 16:05:51 UTC 2021 年 12 月 30 日 (木) 1 時 5 分 51 秒 (日本時間)
composite number 合成数
457070154206598547595024325759534756073055251736197993989145131652173846792795329510269627217554379296959875797<111>
prime factors 素因数
134808884476640377284023048455098303086941811909126017<54>
3390504683582627358809332141446361225361422431115402112341<58>
factorization results 素因数分解の結果
N=457070154206598547595024325759534756073055251736197993989145131652173846792795329510269627217554379296959875797
  ( 111 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=134808884476640377284023048455098303086941811909126017 (pp54)
 r2=3390504683582627358809332141446361225361422431115402112341 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.03 hours.
Scaled time: 55.12 units (timescale=7.843).
Factorization parameters were as follows:
n: 457070154206598547595024325759534756073055251736197993989145131652173846792795329510269627217554379296959875797
m: 1000000000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 2.43
# Murphy_E = 2.977e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282559 x 282784
Total sieving time: 6.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 7.03 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10148-1399

c116

name 名前Ignacio Santos
date 日付December 29, 2021 20:44:39 UTC 2021 年 12 月 30 日 (木) 5 時 44 分 39 秒 (日本時間)
composite number 合成数
31949874311023145389555134536331897091930434807610991809362916265027780330987552640357605356854885801187752535948373<116>
prime factors 素因数
3360748731088643745531220738952156544118845838513<49>
9506772706769320639494461593356507662537573058010788308517174549221<67>
factorization results 素因数分解の結果
N=31949874311023145389555134536331897091930434807610991809362916265027780330987552640357605356854885801187752535948373
  ( 116 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3360748731088643745531220738952156544118845838513 (pp49)
 r2=9506772706769320639494461593356507662537573058010788308517174549221 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.77 hours.
Scaled time: 77.25 units (timescale=7.905).
Factorization parameters were as follows:
n: 31949874311023145389555134536331897091930434807610991809362916265027780330987552640357605356854885801187752535948373
m: 10000000000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 2.43
# Murphy_E = 1.865e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360310 x 360556
Total sieving time: 9.71 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.77 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10149-1399

c141

name 名前Ignacio Santos
date 日付December 30, 2021 10:30:18 UTC 2021 年 12 月 30 日 (木) 19 時 30 分 18 秒 (日本時間)
composite number 合成数
165254544481278814822962965554705068911019042103098806079254127050778273279895904972598522209335548902663739283216452946042154919739274054741<141>
prime factors 素因数
19024224137791291732653311565368735557<38>
8686532669314146933944514570950533482562851407293466657910525685889352071564409794103651927034828802513<103>
factorization results 素因数分解の結果
N=165254544481278814822962965554705068911019042103098806079254127050778273279895904972598522209335548902663739283216452946042154919739274054741
  ( 141 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=19024224137791291732653311565368735557 (pp38)
 r2=8686532669314146933944514570950533482562851407293466657910525685889352071564409794103651927034828802513 (pp103)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.76 hours.
Scaled time: 52.71 units (timescale=7.794).
Factorization parameters were as follows:
n: 165254544481278814822962965554705068911019042103098806079254127050778273279895904972598522209335548902663739283216452946042154919739274054741
m: 1000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 1.67e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 309101 x 309328
Total sieving time: 6.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 6.76 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10150-1399

c127

name 名前Ignacio Santos
date 日付December 30, 2021 14:10:50 UTC 2021 年 12 月 30 日 (木) 23 時 10 分 50 秒 (日本時間)
composite number 合成数
5752762298203544943493871139189996598153186882531961376046800731106262421466133241306394304242738294976475643751325365115884247<127>
prime factors 素因数
2380741358919163673640200358845344535624830124677685177111<58>
2416374326699331209112824673044862510738235365972618961261868326579777<70>
factorization results 素因数分解の結果
N=5752762298203544943493871139189996598153186882531961376046800731106262421466133241306394304242738294976475643751325365115884247
  ( 127 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=2380741358919163673640200358845344535624830124677685177111 (pp58)
 r2=2416374326699331209112824673044862510738235365972618961261868326579777 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.73 hours.
Scaled time: 53.16 units (timescale=7.893).
Factorization parameters were as follows:
n: 5752762298203544943493871139189996598153186882531961376046800731106262421466133241306394304242738294976475643751325365115884247
m: 1000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 1.781e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307046 x 307270
Total sieving time: 6.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 6.73 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10152-1399

c111

name 名前Bob Backstrom
date 日付December 30, 2021 11:35:51 UTC 2021 年 12 月 30 日 (木) 20 時 35 分 51 秒 (日本時間)
composite number 合成数
248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939<111>
prime factors 素因数
3653226794735158973295754337737441977179343800072233999<55>
67990359290620431537347582389058354824802747174356288061<56>
factorization results 素因数分解の結果
CADO

STA:Thu 30 Dec 2021 21:48:39 AEDT (248,384,202,344,165,116,106,182,768,341,171,955,121,092,821,273,217,732,160,339,865,405,232,452,746,522,653,069,130,102,666,344,076,737,441,985,939 - C111)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939 2>&1 | tee -a log130

Debug:root: Looking for parameter file for c111 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.396x24in
Info:Database: Opened connection to database /tmp/cado.396x24in/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2483842023441651161061827683411719551210928212732177321603398654052324527465226530691
30102666344076737441985939
Debug:root: Root parameter dictionary:
N = 248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939
skew: 6317.421
c0: 3302114917971105165068964
c1: 179405478701355437973
c2: -662971746901044374
c3: 2208832572827
c4: 6672057210
c5: 277200
Y0: -1354747261325631855794
Y1: 75046063278380617
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 4.24e-09
# f(x) = 277200*x^5+6672057210*x^4+2208832572827*x^3-662971746901044374*x^2+179405478701355437973*x+3302114917971105165068964
# g(x) = 75046063278380617*x-1354747261325631855794
...
Info:Square Root: finished
Info:Square Root: Factors: 67990359290620431537347582389058354824802747174356288061 3653226794735158973295754337737441977179343800072233999
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28131/31.170/39.026/46.060/0.944
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28131/30.310/35.404/39.780/1.203
Info:Polynomial Selection (size optimized): Total time: 968.84
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 252.16
Info:Polynomial Selection (root optimized): Rootsieve time: 251.23
Info:Generate Factor Base: Total cpu/real time for makefb: 4.32/0.407259
Info:Generate Free Relations: Total cpu/real time for freerel: 35.86/2.39074
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3979953
Info:Lattice Sieving: Average J: 1899.49 for 126294 special-q, max bucket fill: 0.777224
Info:Lattice Sieving: Total CPU time: 30724s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.67/10.561
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.999999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 73.58/39.9587
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.07/33.3309
Info:Filtering - Merging: Total cpu/real time for merge: 128.31/106.19
Info:Filtering - Merging: Total cpu/real time for replay: 12.79/9.8374
Info:Linear Algebra: Total cpu/real time for bwc: 2965.15/0.000334978
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 119.03
Info:Linear Algebra: Lingen CPU time 71.37, WCT time 7.31
Info:Linear Algebra: Mksol: WCT time 71.82
Info:Quadratic Characters: Total cpu/real time for characters: 12.37/2.86565
Info:Square Root: Total cpu/real time for sqrt: 267.07/37.6569
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 35512.2/2585.37
Info:root: Cleaning up computation data in /tmp/cado.396x24in
67990359290620431537347582389058354824802747174356288061 3653226794735158973295754337737441977179343800072233999

END:Thu 30 Dec 2021 22:31:45 AEDT (248,384,202,344,165,116,106,182,768,341,171,955,121,092,821,273,217,732,160,339,865,405,232,452,746,522,653,069,130,102,666,344,076,737,441,985,939 - C111)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10153-1399

c121

name 名前Ignacio Santos
date 日付January 1, 2022 10:52:24 UTC 2022 年 1 月 1 日 (土) 19 時 52 分 24 秒 (日本時間)
composite number 合成数
6193918122111870119294848346280895499506624391873644684335591247994265528549849551181676298818228592412332152244486185229<121>
prime factors 素因数
580541911253045878250091750083824865068175816054675749982999<60>
10669200624538669830905685012259074809445459741322569731707771<62>
factorization results 素因数分解の結果
N=6193918122111870119294848346280895499506624391873644684335591247994265528549849551181676298818228592412332152244486185229
  ( 121 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=580541911253045878250091750083824865068175816054675749982999 (pp60)
 r2=10669200624538669830905685012259074809445459741322569731707771 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.05 hours.
Scaled time: 62.63 units (timescale=7.776).
Factorization parameters were as follows:
n: 6193918122111870119294848346280895499506624391873644684335591247994265528549849551181676298818228592412332152244486185229
m: 2000000000000000000000000000000
deg: 5
c5: 125
c0: -139
skew: 1.02
# Murphy_E = 1.164e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 466310 x 466535
Total sieving time: 7.97 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.05 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10154-1399

c124

name 名前Ignacio Santos
date 日付January 1, 2022 14:23:21 UTC 2022 年 1 月 1 日 (土) 23 時 23 分 21 秒 (日本時間)
composite number 合成数
1777503831597603509802417611308249442797164422413100282377072087564274191964404048828749028617855339619453390092622575318059<124>
prime factors 素因数
9473108189443541057816337354126949304012933464725811<52>
187636813182222897464924961615158165286026648953739092110632848610896169<72>
factorization results 素因数分解の結果
N=1777503831597603509802417611308249442797164422413100282377072087564274191964404048828749028617855339619453390092622575318059
  ( 124 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=9473108189443541057816337354126949304012933464725811 (pp52)
 r2=187636813182222897464924961615158165286026648953739092110632848610896169 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.38 hours.
Scaled time: 73.97 units (timescale=7.886).
Factorization parameters were as follows:
n: 1777503831597603509802417611308249442797164422413100282377072087564274191964404048828749028617855339619453390092622575318059
m: 10000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 1.077e-09
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 439837 x 440063
Total sieving time: 9.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 9.38 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10158-1399

c125

name 名前Bob Backstrom
date 日付December 31, 2021 10:06:28 UTC 2021 年 12 月 31 日 (金) 19 時 6 分 28 秒 (日本時間)
composite number 合成数
21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221<125>
prime factors 素因数
2513401242929559171908260489751097508252721583807176999327<58>
8600919779819926169200841224712154393253936628458831750484007791123<67>
factorization results 素因数分解の結果
CADO

STA:Fri 31 Dec 2021 17:27:24 AEDT (21,617,562,464,936,832,838,196,485,192,289,017,535,532,801,788,128,583,836,968,403,871,277,063,043,699,374,238,636,053,594,514,664,371,548,574,096,448,552,527,574,221 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221 2>&1 | tee -a log137

Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.9gdwtzk3
Info:Database: Opened connection to database /tmp/cado.9gdwtzk3/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2161756246493683283819648519228901753553280178812858383696840387127706304369937423863
6053594514664371548574096448552527574221
Debug:root: Root parameter dictionary:
N = 21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221
skew: 128342.205
c0: 6671728537844808918135007801
c1: 27534309488035908996588306
c2: 288379564977427897291
c3: -3482627453195574
c4: 214161760
c5: 38400
Y0: -1229950993862227277723514
Y1: 72570651068424473
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.44e-10
# f(x) = 38400*x^5+214161760*x^4-3482627453195574*x^3+288379564977427897291*x^2+27534309488035908996588306*x+6671728537844808918135007801
# g(x) = 72570651068424473*x-1229950993862227277723514
...
Info:Square Root: finished
Info:Square Root: Factors: 8600919779819926169200841224712154393253936628458831750484007791123 2513401242929559171908260489751097508252721583807176999327
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1057.31/145.537
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21528/35.620/44.271/47.720/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21528/35.340/40.020/45.070/1.303
Info:Polynomial Selection (size optimized): Total time: 1757.39
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1086.42
Info:Polynomial Selection (root optimized): Rootsieve time: 1085.5
Info:Generate Factor Base: Total cpu/real time for makefb: 11.59/1.07149
Info:Generate Free Relations: Total cpu/real time for freerel: 148.94/9.84726
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13067478
Info:Lattice Sieving: Average J: 3795.53 for 200389 special-q, max bucket fill: 0.715239
Info:Lattice Sieving: Total CPU time: 141093s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.18/39.564
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188.7/56.4177
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.67/50.64
Info:Filtering - Merging: Total cpu/real time for merge: 251.39/205.029
Info:Filtering - Merging: Total cpu/real time for replay: 22.32/16.6974
Info:Linear Algebra: Total cpu/real time for bwc: 9725.84/0.000166416
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 405.0
Info:Linear Algebra: Lingen CPU time 141.07, WCT time 14.14
Info:Linear Algebra: Mksol: WCT time 219.77
Info:Quadratic Characters: Total cpu/real time for characters: 24.04/5.62472
Info:Square Root: Total cpu/real time for sqrt: 1057.31/145.537
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 155533/10644.9
Info:root: Cleaning up computation data in /tmp/cado.9gdwtzk3
8600919779819926169200841224712154393253936628458831750484007791123 2513401242929559171908260489751097508252721583807176999327

END:Fri 31 Dec 2021 20:24:49 AEDT (21,617,562,464,936,832,838,196,485,192,289,017,535,532,801,788,128,583,836,968,403,871,277,063,043,699,374,238,636,053,594,514,664,371,548,574,096,448,552,527,574,221 - C125)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10159-1399

c120

name 名前Bob Backstrom
date 日付December 31, 2021 02:31:57 UTC 2021 年 12 月 31 日 (金) 11 時 31 分 57 秒 (日本時間)
composite number 合成数
946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749<120>
prime factors 素因数
118235851400212554888988119987472181898223<42>
8001207456135418019972808624429031665757863242664247177003804532309535048404963<79>
factorization results 素因数分解の結果
CADO

STA:Fri 31 Dec 2021 11:47:46 AEDT (946,029,575,805,899,999,048,997,014,260,016,757,627,501,273,717,572,348,924,873,999,631,085,541,935,955,386,239,353,155,838,873,867,403,653,884,617,754,080,749 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749 2>&1 | tee -a log135

Debug:root: Looking for parameter file for c120 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.74c3uw18
Info:Database: Opened connection to database /tmp/cado.74c3uw18/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9460295758058999990489970142600167576275012737175723489248739996310855419359553862393
53155838873867403653884617754080749
Debug:root: Root parameter dictionary:
N = 946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749
skew: 30343.463
c0: 2351743012953310960164380880
c1: -454531847523799191541730
c2: 12383181730973820189
c3: 408741569864171
c4: 12240452220
c5: 79200
Y0: -87093773528362078316759
Y1: 3709965504294538823
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.8e-09
# f(x) = 79200*x^5+12240452220*x^4+408741569864171*x^3+12383181730973820189*x^2-454531847523799191541730*x+2351743012953310960164380880
# g(x) = 3709965504294538823*x-87093773528362078316759
...
Info:Square Root: finished
Info:Square Root: Factors: 118235851400212554888988119987472181898223 8001207456135418019972808624429031665757863242664247177003804532309535048404963
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 860.46/121.877
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10711/36.540/42.927/48.260/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10711/34.330/38.125/43.390/1.112
Info:Polynomial Selection (size optimized): Total time: 1143.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 414.63
Info:Polynomial Selection (root optimized): Rootsieve time: 413.68
Info:Generate Factor Base: Total cpu/real time for makefb: 23.71/2.15813
Info:Generate Free Relations: Total cpu/real time for freerel: 150.46/9.9348
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9937018
Info:Lattice Sieving: Average J: 7803.77 for 18880 special-q, max bucket fill: 0.617965
Info:Lattice Sieving: Total CPU time: 57033.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.06/30.6618
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 146.95/45.9405
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.54/32.4998
Info:Filtering - Merging: Total cpu/real time for merge: 463.87/377.693
Info:Filtering - Merging: Total cpu/real time for replay: 35.79/28.0341
Info:Linear Algebra: Total cpu/real time for bwc: 19385.2/0.000328541
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 912.83
Info:Linear Algebra: Lingen CPU time 216.59, WCT time 21.23
Info:Linear Algebra: Mksol: WCT time 445.6
Info:Quadratic Characters: Total cpu/real time for characters: 35.54/8.32575
Info:Square Root: Total cpu/real time for sqrt: 860.46/121.877
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 79781.7/6063.51
Info:root: Cleaning up computation data in /tmp/cado.74c3uw18
118235851400212554888988119987472181898223 8001207456135418019972808624429031665757863242664247177003804532309535048404963

END:Fri 31 Dec 2021 13:28:50 AEDT (946,029,575,805,899,999,048,997,014,260,016,757,627,501,273,717,572,348,924,873,999,631,085,541,935,955,386,239,353,155,838,873,867,403,653,884,617,754,080,749 - C120)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10165-1399

c146

name 名前Ignacio Santos
date 日付January 4, 2022 20:31:04 UTC 2022 年 1 月 5 日 (水) 5 時 31 分 4 秒 (日本時間)
composite number 合成数
35746644113745891166471914491112899467828301665539734001057036307199407135809452060587920787583430293780410820351982854361771314794254866897489977<146>
prime factors 素因数
133841916715356443238547324077941028209297469523721738723824649902268521<72>
267081083348266751696514887292581991211690918327758093700265907837514790737<75>
factorization results 素因数分解の結果
N=35746644113745891166471914491112899467828301665539734001057036307199407135809452060587920787583430293780410820351982854361771314794254866897489977
  ( 146 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=133841916715356443238547324077941028209297469523721738723824649902268521 (pp72)
 r2=267081083348266751696514887292581991211690918327758093700265907837514790737 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.62 hours.
Scaled time: 147.47 units (timescale=7.918).
Factorization parameters were as follows:
n: 35746644113745891166471914491112899467828301665539734001057036307199407135809452060587920787583430293780410820351982854361771314794254866897489977
m: 1000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 4.696e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 588705 x 588930
Total sieving time: 18.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 18.62 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10167-1399

c128

name 名前Bob Backstrom
date 日付January 1, 2022 10:32:54 UTC 2022 年 1 月 1 日 (土) 19 時 32 分 54 秒 (日本時間)
composite number 合成数
30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019<128>
prime factors 素因数
237388157537627184097374485408188962118299091001343959<54>
127904665770771074688903978717809796484324385506591449661979851781985801341<75>
factorization results 素因数分解の結果
CADO

STA:Sat 01 Jan 2022 16:16:22 AEDT (30,363,052,947,789,355,180,563,757,262,172,447,010,198,397,551,546,483,492,258,682,049,288,250,603,580,826,474,027,879,110,900,345,797,340,913,295,167,946,886,584,449,019 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019 2>&1 | tee -a log143

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.v6qpl_9r
Info:Database: Opened connection to database /tmp/cado.v6qpl_9r/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3036305294778935518056375726217244701019839755154648349225868204928825060358082647402
7879110900345797340913295167946886584449019
Debug:root: Root parameter dictionary:
N = 30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019
skew: 274278.329
c0: 2822600997878498829198005679780
c1: -93604831914309645248378128
c2: -121909271529365548351
c3: -58809852476009
c4: -3806184592
c5: 4800
Y0: -7601547747684049158875956
Y1: 29661848645545639
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.25e-09
# f(x) = 4800*x^5-3806184592*x^4-58809852476009*x^3-121909271529365548351*x^2-93604831914309645248378128*x+2822600997878498829198005679780
# g(x) = 29661848645545639*x-7601547747684049158875956
...
Info:Square Root: finished
Info:Square Root: Factors: 237388157537627184097374485408188962118299091001343959 127904665770771074688903978717809796484324385506591449661979851781985801341
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1276.61/177.318
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38534/38.410/45.496/49.790/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38534/36.760/40.838/46.430/1.040
Info:Polynomial Selection (size optimized): Total time: 5818.28
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1947.79
Info:Polynomial Selection (root optimized): Rootsieve time: 1946.83
Info:Generate Factor Base: Total cpu/real time for makefb: 58.62/5.20594
Info:Generate Free Relations: Total cpu/real time for freerel: 302.69/19.9993
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19273489
Info:Lattice Sieving: Average J: 7938.88 for 59058 special-q, max bucket fill: 0.607606
Info:Lattice Sieving: Total CPU time: 199260s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.76/68.9744
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329/103.859
Info:Filtering - Singleton removal: Total cpu/real time for purge: 218.93/85.943
Info:Filtering - Merging: Total cpu/real time for merge: 911.48/828.961
Info:Filtering - Merging: Total cpu/real time for replay: 78.29/70.6305
Info:Linear Algebra: Total cpu/real time for bwc: 44028.4/0.000324488
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1937.34
Info:Linear Algebra: Lingen CPU time 311.81, WCT time 30.48
Info:Linear Algebra: Mksol: WCT time 1029.65
Info:Quadratic Characters: Total cpu/real time for characters: 51.96/12.3751
Info:Square Root: Total cpu/real time for sqrt: 1276.61/177.318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 254332/18321
Info:root: Cleaning up computation data in /tmp/cado.v6qpl_9r
237388157537627184097374485408188962118299091001343959 127904665770771074688903978717809796484324385506591449661979851781985801341

END:Sat 01 Jan 2022 21:21:44 AEDT (30,363,052,947,789,355,180,563,757,262,172,447,010,198,397,551,546,483,492,258,682,049,288,250,603,580,826,474,027,879,110,900,345,797,340,913,295,167,946,886,584,449,019 - C128)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10168-1399

c131

name 名前Bob Backstrom
date 日付January 7, 2022 12:13:41 UTC 2022 年 1 月 7 日 (金) 21 時 13 分 41 秒 (日本時間)
composite number 合成数
21066711277852790442444995573830896527073608664640564955278264984659378123081763906409272319616585254917056169882961558241402407203<131>
prime factors 素因数
1610885158110900235470820490626850769292829<43>
13077723866149412859800311584734383453357827636363864538321962079458500321160012466540607<89>
factorization results 素因数分解の結果
Number: n
N=21066711277852790442444995573830896527073608664640564955278264984659378123081763906409272319616585254917056169882961558241402407203  ( 131 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jan  7 23:09:35 2022  p43 factor: 1610885158110900235470820490626850769292829
Fri Jan  7 23:09:35 2022  p89 factor: 13077723866149412859800311584734383453357827636363864538321962079458500321160012466540607
Fri Jan  7 23:09:35 2022  elapsed time 00:09:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 4x10^168-139 = 8(166)58
#
n: 21066711277852790442444995573830896527073608664640564955278264984659378123081763906409272319616585254917056169882961558241402407203
m: 2000000000000000000000000000000000
deg: 5
c5: 125
c0: -139
skew: 1.02
# Murphy_E = 3.05e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2466598 hash collisions in 20646655 relations (18975016 unique)
Msieve: matrix is 518499 x 518724 (172.9 MB)

Sieving start time : 2022/01/07 22:13:21
Sieving end time  : 2022/01/07 22:59:53

Total sieving time: 0hrs 46min 32secs.

Total relation processing time: 0hrs 3min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 09:50:42 UTC 2022 年 1 月 5 日 (水) 18 時 50 分 42 秒 (日本時間)

4×10170-1399

c169

name 名前Bob Backstrom
date 日付January 4, 2022 04:00:17 UTC 2022 年 1 月 4 日 (火) 13 時 0 分 17 秒 (日本時間)
composite number 合成数
1532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601<169>
prime factors 素因数
34429139506873817984293169942820445080996833126536790502883<59>
44513661153292847013841566967885221576095777410350422511062116705926674062063360643620008642923718099504070747<110>
factorization results 素因数分解の結果
Number: n
N=1532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601  ( 169 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jan  4 14:50:48 2022  p59 factor: 34429139506873817984293169942820445080996833126536790502883
Tue Jan  4 14:50:48 2022  p110 factor: 44513661153292847013841566967885221576095777410350422511062116705926674062063360643620008642923718099504070747
Tue Jan  4 14:50:48 2022  elapsed time 00:09:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
#
# N = 4x10^170-139 = 8(168)58
#
n: 1532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601
m: 10000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 2.982e-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, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2674893 hash collisions in 21650405 relations (19797875 unique)
Msieve: matrix is 526976 x 527201 (177.5 MB)

Sieving start time : 2022/01/04 13:55:20
Sieving end time  : 2022/01/04 14:40:49

Total sieving time: 0hrs 45min 29secs.

Total relation processing time: 0hrs 3min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

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) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10172-1399

c171

name 名前Bob Backstrom
date 日付January 3, 2022 22:21:10 UTC 2022 年 1 月 4 日 (火) 7 時 21 分 10 秒 (日本時間)
composite number 合成数
103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103<171>
prime factors 素因数
3524131319476312265659515826393281382428794357<46>
29328978904785595104688205084953270274833498569450254570976993606842665158281012335692390873974202920583774103931095420068779<125>
factorization results 素因数分解の結果
Number: n
N=103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103  ( 171 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Jan  4 09:07:28 2022  p46 factor: 3524131319476312265659515826393281382428794357
Tue Jan  4 09:07:28 2022  p125 factor: 29328978904785595104688205084953270274833498569450254570976993606842665158281012335692390873974202920583774103931095420068779
Tue Jan  4 09:07:28 2022  elapsed time 00:11:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 4x10^172-139 = 8(170)58
#
n: 103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103
m: 10000000000000000000000000000000000
deg: 5
c5: 400
c0: -139
skew: 0.81
# Murphy_E = 2.092e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2710462 hash collisions in 20342978 relations (18343191 unique)
Msieve: matrix is 641063 x 641290 (216.6 MB)

Sieving start time : 2022/01/04 07:38:46
Sieving end time  : 2022/01/04 08:55:33

Total sieving time: 1hrs 16min 47secs.

Total relation processing time: 0hrs 6min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10174-1399

c172

name 名前Bob Backstrom
date 日付January 3, 2022 17:49:02 UTC 2022 年 1 月 4 日 (火) 2 時 49 分 2 秒 (日本時間)
composite number 合成数
1438331535418914059690758719884933477166486875224739302409205321826681049982020855807263574253865516001438331535418914059690758719884933477166486875224739302409205321826681<172>
prime factors 素因数
86479505593248598953387278981886386885873046971<47>
16632050860512825425747357842171919143387928995258774289558239488279593870555140932324850044905228768107409001518243446610011<125>
factorization results 素因数分解の結果
Number: n
N=1438331535418914059690758719884933477166486875224739302409205321826681049982020855807263574253865516001438331535418914059690758719884933477166486875224739302409205321826681  ( 172 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jan  4 02:12:53 2022  p47 factor: 86479505593248598953387278981886386885873046971
Tue Jan  4 02:12:53 2022  p125 factor: 16632050860512825425747357842171919143387928995258774289558239488279593870555140932324850044905228768107409001518243446610011
Tue Jan  4 02:12:53 2022  elapsed time 00:17:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 4x10^174-139 = 8(172)58
#
n: 1438331535418914059690758719884933477166486875224739302409205321826681049982020855807263574253865516001438331535418914059690758719884933477166486875224739302409205321826681
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 1.772e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5110918 hash collisions in 33965388 relations (30581609 unique)
Msieve: matrix is 940257 x 940501 (159.6 MB)

Sieving start time : 2022/01/04 00:00:29
Sieving end time  : 2022/01/04 01:54:47

Total sieving time: 1hrs 54min 18secs.

Total relation processing time: 0hrs 8min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

4×10176-1399

c129

name 名前Ignacio Santos
date 日付January 11, 2022 23:22:35 UTC 2022 年 1 月 12 日 (水) 8 時 22 分 35 秒 (日本時間)
composite number 合成数
212016633922020819665079891501929263008009543384983530193256448312076117271910941502175405575000145716306835980252822778010051779<129>
prime factors 素因数
16788239052555749694813855778633656975172569631<47>
12628878660727943761444309046854562473911209768275743994833400981346183096449702109<83>
factorization results 素因数分解の結果
N=212016633922020819665079891501929263008009543384983530193256448312076117271910941502175405575000145716306835980252822778010051779
  ( 129 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=16788239052555749694813855778633656975172569631 (pp47)
 r2=12628878660727943761444309046854562473911209768275743994833400981346183096449702109 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 51.57 hours.
Scaled time: 405.78 units (timescale=7.868).
Factorization parameters were as follows:
n: 212016633922020819665079891501929263008009543384983530193256448312076117271910941502175405575000145716306835980252822778010051779
m: 100000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 1.456e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1223847 x 1224077
Total sieving time: 51.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 51.57 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 3, 2022 10:53:48 UTC 2022 年 1 月 3 日 (月) 19 時 53 分 48 秒 (日本時間)

4×10180-1399

c145

name 名前Ignacio Santos
date 日付January 18, 2022 22:27:32 UTC 2022 年 1 月 19 日 (水) 7 時 27 分 32 秒 (日本時間)
composite number 合成数
1057684014574617592034269440891839418823200065160464415679814037442115627249901150252690694959847954108629468640088674544404835132813156146708849<145>
prime factors 素因数
20045665560399069895576512416842136821681<41>
131661130426964810658182497872379602414330878813<48>
400754013737532537063177960053079071628028764610668190133<57>
factorization results 素因数分解の結果
N=1057684014574617592034269440891839418823200065160464415679814037442115627249901150252690694959847954108629468640088674544404835132813156146708849
  ( 145 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=20045665560399069895576512416842136821681 (pp41)
 r2=131661130426964810658182497872379602414330878813 (pp48)
 r3=400754013737532537063177960053079071628028764610668190133 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 62.44 hours.
Scaled time: 492.84 units (timescale=7.893).
Factorization parameters were as follows:
n: 1057684014574617592034269440891839418823200065160464415679814037442115627249901150252690694959847954108629468640088674544404835132813156146708849
m: 1000000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 1.186e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 7700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1197829 x 1198054
Total sieving time: 62.07 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 62.44 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 14:44:09 UTC 2022 年 1 月 5 日 (水) 23 時 44 分 9 秒 (日本時間)

4×10183-1399

c137

name 名前Ray Chandler
date 日付January 30, 2022 08:10:01 UTC 2022 年 1 月 30 日 (日) 17 時 10 分 1 秒 (日本時間)
composite number 合成数
36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723<137>
prime factors 素因数
638775991261361453099669239061801772831399273099226127<54>
56538845802726718731129250649176941082727861753523835090648265644360550447593168549<83>
factorization results 素因数分解の結果
01/30/22 00:02:37, 
01/30/22 00:02:37, ****************************
01/30/22 00:02:37, Starting factorization of 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888858
01/30/22 00:02:37, using pretesting plan: normal
01/30/22 00:02:37, using specified qs/gnfs crossover of 100 digits
01/30/22 00:02:37, using specified qs/snfs crossover of 75 digits
01/30/22 00:02:37, ****************************
01/30/22 00:02:37, div: found prime factor = 2
01/30/22 00:02:37, div: found prime factor = 3
01/30/22 00:02:37, div: found prime factor = 11
01/30/22 00:02:37, div: found prime factor = 13
01/30/22 00:02:37, div: found prime factor = 17
01/30/22 00:02:37, div: found prime factor = 151
01/30/22 00:02:37, div: found prime factor = 1021
01/30/22 00:02:37, rho: x^2 + 3, starting 1000 iterations on C174
01/30/22 00:02:37, prp10 = 1204275703
01/30/22 00:02:37, rho: x^2 + 3, starting 1000 iterations on C165
01/30/22 00:02:38, rho: x^2 + 2, starting 1000 iterations on C165
01/30/22 00:02:38, rho: x^2 + 1, starting 1000 iterations on C165
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, pm1: starting B1 = 150K, B2 = gmp-ecm default on C165
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, current ECM pretesting depth: 0.00
01/30/22 00:02:38, scheduled 30 curves at B1=2000 toward target pretesting depth of 39.49
01/30/22 00:02:38, ecm: commencing 48 curves using AVX-ECM method on 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781, B1=2k, B2=200k
01/30/22 00:02:38, ecm: finished 384 curves using AVX-ECM method on C165 input, B1=2k, B2=200k
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, current ECM pretesting depth: 17.27
01/30/22 00:02:38, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.49
01/30/22 00:02:39, ecm: commencing 96 curves using AVX-ECM method on 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781, B1=11k, B2=1100k
01/30/22 00:02:39, ecm: finished 384 curves using AVX-ECM method on C165 input, B1=11k, B2=1100k
01/30/22 00:02:39, nfs: input divides 10^186 - 34750
01/30/22 00:02:39, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:39, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:39, current ECM pretesting depth: 21.28
01/30/22 00:02:39, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.49
01/30/22 00:02:40, ecm: commencing 240 curves using AVX-ECM method on 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781, B1=50k, B2=5M
01/30/22 00:02:40, ecm: finished 0 curves using AVX-ECM method on C165 input, B1=50k, B2=5M
01/30/22 00:02:41, prp28 = 9088393692755686935885383647 (curve=186 stg=2 B1=50000 B2=5000000 sigma=1629842363 thread=23 vecpos=2)
01/30/22 00:02:41, nfs: input divides 10^186 - 34750
01/30/22 00:02:41, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:41, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:41, current ECM pretesting depth: 21.28
01/30/22 00:02:41, scheduled 214 curves at B1=50000 toward target pretesting depth of 32.79
01/30/22 00:02:41, ecm: commencing 240 curves using AVX-ECM method on 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723, B1=50k, B2=5M
01/30/22 00:02:42, ecm: finished 384 curves using AVX-ECM method on C137 input, B1=50k, B2=5M
01/30/22 00:02:42, nfs: input divides 10^186 - 34750
01/30/22 00:02:42, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:42, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:42, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C137
01/30/22 00:02:43, nfs: input divides 10^186 - 34750
01/30/22 00:02:43, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:43, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:43, current ECM pretesting depth: 25.62
01/30/22 00:02:43, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.79
01/30/22 00:02:44, ecm: commencing 432 curves using AVX-ECM method on 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723, B1=250k, B2=25M
01/30/22 00:02:51, ecm: finished 768 curves using AVX-ECM method on C137 input, B1=250k, B2=25M
01/30/22 00:02:52, nfs: input divides 10^186 - 34750
01/30/22 00:02:52, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:52, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:52, pm1: starting B1 = 15M, B2 = gmp-ecm default on C137
01/30/22 00:02:56, nfs: input divides 10^186 - 34750
01/30/22 00:02:56, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:56, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:56, current ECM pretesting depth: 30.81
01/30/22 00:02:56, scheduled 358 curves at B1=1000000 toward target pretesting depth of 32.79
01/30/22 00:02:58, ecm: commencing 384 curves using AVX-ECM method on 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723, B1=1M, B2=100M
01/30/22 00:03:12, ecm: finished 384 curves using AVX-ECM method on C137 input, B1=1M, B2=100M
01/30/22 00:03:13, nfs: input divides 10^186 - 34750
01/30/22 00:03:13, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, final ECM pretested depth: 32.93
01/30/22 00:03:13, scheduler: switching to sieve method
01/30/22 00:03:13, nfs: commencing nfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, nfs: input divides 10^186 - 34750
01/30/22 00:03:13, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:14, test: fb generation took 1.2889 seconds
01/30/22 00:03:14, test: commencing test sieving of polynomial 0 on the rational side over range 11500000-11501000
skew: 6.8948
c5: 1
c0: -3475
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 11500000
alim: 11500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 00:04:43, nfs: parsing special-q from .dat file
01/30/22 00:04:43, test: new best estimated total sieving time = 1h 19m 13s (with 48 threads)
01/30/22 00:04:44, test: fb generation took 1.3632 seconds
01/30/22 00:04:44, test: commencing test sieving of polynomial 1 on the rational side over range 12000000-12001000
skew: 14.3004
c5: 1
c0: -111200
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 00:05:55, nfs: parsing special-q from .dat file
01/30/22 00:05:55, test: estimated total sieving time = 1h 26m 52s (with 48 threads)
01/30/22 00:05:57, test: fb generation took 1.9424 seconds
01/30/22 00:05:57, test: commencing test sieving of polynomial 2 on the algebraic side over range 11000000-11001000
skew: 2.0000
c6: 1
c0: -34750
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 00:07:01, nfs: parsing special-q from .dat file
01/30/22 00:07:01, test: estimated total sieving time = 2h 30m 54s (with 48 threads)
01/30/22 00:07:01, nfs: commencing lattice sieving with 48 threads
01/30/22 00:08:05, nfs: commencing lattice sieving with 48 threads
01/30/22 00:09:11, nfs: commencing lattice sieving with 48 threads
01/30/22 00:10:18, nfs: commencing lattice sieving with 48 threads
01/30/22 00:11:24, nfs: commencing lattice sieving with 48 threads
01/30/22 00:12:30, nfs: commencing lattice sieving with 48 threads
01/30/22 00:13:36, nfs: commencing lattice sieving with 48 threads
01/30/22 00:14:44, nfs: commencing lattice sieving with 48 threads
01/30/22 00:15:50, nfs: commencing lattice sieving with 48 threads
01/30/22 00:16:55, nfs: commencing lattice sieving with 48 threads
01/30/22 00:18:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:19:09, nfs: commencing lattice sieving with 48 threads
01/30/22 00:20:15, nfs: commencing lattice sieving with 48 threads
01/30/22 00:21:22, nfs: commencing lattice sieving with 48 threads
01/30/22 00:22:33, nfs: commencing lattice sieving with 48 threads
01/30/22 00:23:42, nfs: commencing lattice sieving with 48 threads
01/30/22 00:24:49, nfs: commencing lattice sieving with 48 threads
01/30/22 00:26:00, nfs: commencing lattice sieving with 48 threads
01/30/22 00:27:07, nfs: commencing lattice sieving with 48 threads
01/30/22 00:28:13, nfs: commencing lattice sieving with 48 threads
01/30/22 00:29:25, nfs: commencing lattice sieving with 48 threads
01/30/22 00:30:31, nfs: commencing lattice sieving with 48 threads
01/30/22 00:31:41, nfs: commencing lattice sieving with 48 threads
01/30/22 00:32:52, nfs: commencing lattice sieving with 48 threads
01/30/22 00:34:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:35:09, nfs: commencing lattice sieving with 48 threads
01/30/22 00:36:21, nfs: commencing lattice sieving with 48 threads
01/30/22 00:37:29, nfs: commencing lattice sieving with 48 threads
01/30/22 00:38:38, nfs: commencing lattice sieving with 48 threads
01/30/22 00:39:51, nfs: commencing lattice sieving with 48 threads
01/30/22 00:41:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:42:10, nfs: commencing lattice sieving with 48 threads
01/30/22 00:43:20, nfs: commencing lattice sieving with 48 threads
01/30/22 00:44:31, nfs: commencing lattice sieving with 48 threads
01/30/22 00:45:39, nfs: commencing lattice sieving with 48 threads
01/30/22 00:46:47, nfs: commencing lattice sieving with 48 threads
01/30/22 00:47:57, nfs: commencing lattice sieving with 48 threads
01/30/22 00:49:07, nfs: commencing lattice sieving with 48 threads
01/30/22 00:50:19, nfs: commencing lattice sieving with 48 threads
01/30/22 00:51:31, nfs: commencing lattice sieving with 48 threads
01/30/22 00:52:42, nfs: commencing lattice sieving with 48 threads
01/30/22 00:53:51, nfs: commencing lattice sieving with 48 threads
01/30/22 00:55:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:56:13, nfs: commencing lattice sieving with 48 threads
01/30/22 00:57:24, nfs: commencing lattice sieving with 48 threads
01/30/22 00:58:34, nfs: commencing lattice sieving with 48 threads
01/30/22 00:59:44, nfs: commencing lattice sieving with 48 threads
01/30/22 01:00:56, nfs: commencing lattice sieving with 48 threads
01/30/22 01:02:08, nfs: commencing lattice sieving with 48 threads
01/30/22 01:03:19, nfs: commencing lattice sieving with 48 threads
01/30/22 01:04:28, nfs: commencing lattice sieving with 48 threads
01/30/22 01:05:42, nfs: commencing lattice sieving with 48 threads
01/30/22 01:06:54, nfs: commencing lattice sieving with 48 threads
01/30/22 01:08:06, nfs: commencing lattice sieving with 48 threads
01/30/22 01:09:16, nfs: commencing lattice sieving with 48 threads
01/30/22 01:10:28, nfs: commencing lattice sieving with 48 threads
01/30/22 01:11:40, nfs: commencing lattice sieving with 48 threads
01/30/22 01:12:53, nfs: commencing lattice sieving with 48 threads
01/30/22 01:14:03, nfs: commencing msieve filtering
01/30/22 01:16:02, nfs: raising min_rels by 5.00 percent to 10599930
01/30/22 01:16:02, nfs: commencing lattice sieving with 48 threads
01/30/22 01:17:14, nfs: commencing lattice sieving with 48 threads
01/30/22 01:18:29, nfs: commencing lattice sieving with 48 threads
01/30/22 01:19:39, nfs: commencing lattice sieving with 48 threads
01/30/22 01:20:53, nfs: commencing msieve filtering
01/30/22 01:22:57, nfs: raising min_rels by 5.00 percent to 11301046
01/30/22 01:22:57, nfs: commencing lattice sieving with 48 threads
01/30/22 01:24:08, nfs: commencing lattice sieving with 48 threads
01/30/22 01:25:20, nfs: commencing lattice sieving with 48 threads
01/30/22 01:26:34, nfs: commencing lattice sieving with 48 threads
01/30/22 01:27:47, nfs: commencing msieve filtering
01/30/22 01:29:58, nfs: raising min_rels by 5.00 percent to 11991712
01/30/22 01:29:58, nfs: commencing lattice sieving with 48 threads
01/30/22 01:31:12, nfs: commencing lattice sieving with 48 threads
01/30/22 01:32:25, nfs: commencing lattice sieving with 48 threads
01/30/22 01:33:38, nfs: commencing lattice sieving with 48 threads
01/30/22 01:34:53, nfs: commencing msieve filtering
01/30/22 01:37:10, nfs: raising min_rels by 5.00 percent to 12679615
01/30/22 01:37:10, nfs: commencing lattice sieving with 48 threads
01/30/22 01:38:26, nfs: commencing lattice sieving with 48 threads
01/30/22 01:39:42, nfs: commencing lattice sieving with 48 threads
01/30/22 01:40:58, nfs: commencing lattice sieving with 48 threads
01/30/22 01:42:15, nfs: commencing msieve filtering
01/30/22 01:45:48, nfs: commencing msieve linear algebra
01/30/22 02:00:54, nfs: commencing msieve sqrt
01/30/22 02:03:14, prp83 = 56538845802726718731129250649176941082727861753523835090648265644360550447593168549
01/30/22 02:03:14, prp54 = 638775991261361453099669239061801772831399273099226127
01/30/22 02:03:15, NFS elapsed time = 7201.5950 seconds.
01/30/22 02:03:15, 
01/30/22 02:03:15, 
01/30/22 02:03:15, Total factoring time = 7237.1779 seconds
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 21:20:52 UTC 2022 年 1 月 6 日 (木) 6 時 20 分 52 秒 (日本時間)

4×10185-1399

c166

name 名前Ray Chandler
date 日付January 31, 2022 14:36:31 UTC 2022 年 1 月 31 日 (月) 23 時 36 分 31 秒 (日本時間)
composite number 合成数
2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507<166>
prime factors 素因数
59791133893914439662989421742449372738594587045387459<53>
44207549081582012337157047078688051751514086923342965973227967949286750524834551395001931674712462872856918769073<113>
factorization results 素因数分解の結果
01/30/22 22:14:57, 
01/30/22 22:14:57, ****************************
01/30/22 22:14:57, Starting factorization of 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888858
01/30/22 22:14:57, using pretesting plan: normal
01/30/22 22:14:57, using specified qs/gnfs crossover of 100 digits
01/30/22 22:14:57, using specified qs/snfs crossover of 75 digits
01/30/22 22:14:57, ****************************
01/30/22 22:14:57, div: found prime factor = 2
01/30/22 22:14:57, div: found prime factor = 7
01/30/22 22:14:57, div: found prime factor = 11
01/30/22 22:14:57, rho: x^2 + 3, starting 1000 iterations on C183
01/30/22 22:14:57, prp7 = 3628111
01/30/22 22:14:57, rho: x^2 + 3, starting 1000 iterations on C177
01/30/22 22:14:57, prp11 = 60188422901
01/30/22 22:14:57, rho: x^2 + 3, starting 1000 iterations on C166
01/30/22 22:14:57, rho: x^2 + 2, starting 1000 iterations on C166
01/30/22 22:14:57, rho: x^2 + 1, starting 1000 iterations on C166
01/30/22 22:14:57, nfs: input divides 10^188 - 34750
01/30/22 22:14:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, nfs: input divides 10^188 - 34750
01/30/22 22:14:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, pm1: starting B1 = 150K, B2 = gmp-ecm default on C166
01/30/22 22:14:57, nfs: input divides 10^188 - 34750
01/30/22 22:14:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, current ECM pretesting depth: 0.00
01/30/22 22:14:57, scheduled 30 curves at B1=2000 toward target pretesting depth of 39.73
01/30/22 22:14:58, ecm: commencing 48 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=2k, B2=200k
01/30/22 22:14:58, ecm: finished 384 curves using AVX-ECM method on C166 input, B1=2k, B2=200k
01/30/22 22:14:58, nfs: input divides 10^188 - 34750
01/30/22 22:14:58, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:58, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:58, current ECM pretesting depth: 17.27
01/30/22 22:14:58, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.73
01/30/22 22:14:58, ecm: commencing 96 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=11k, B2=1100k
01/30/22 22:14:59, ecm: finished 384 curves using AVX-ECM method on C166 input, B1=11k, B2=1100k
01/30/22 22:14:59, nfs: input divides 10^188 - 34750
01/30/22 22:14:59, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:59, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:59, current ECM pretesting depth: 21.28
01/30/22 22:14:59, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.73
01/30/22 22:14:59, ecm: commencing 240 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=50k, B2=5M
01/30/22 22:15:00, ecm: finished 384 curves using AVX-ECM method on C166 input, B1=50k, B2=5M
01/30/22 22:15:00, nfs: input divides 10^188 - 34750
01/30/22 22:15:00, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:00, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:00, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C166
01/30/22 22:15:02, nfs: input divides 10^188 - 34750
01/30/22 22:15:02, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:02, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:02, current ECM pretesting depth: 25.62
01/30/22 22:15:02, scheduled 430 curves at B1=250000 toward target pretesting depth of 39.73
01/30/22 22:15:03, ecm: commencing 432 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=250k, B2=25M
01/30/22 22:15:10, ecm: finished 768 curves using AVX-ECM method on C166 input, B1=250k, B2=25M
01/30/22 22:15:10, nfs: input divides 10^188 - 34750
01/30/22 22:15:10, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:10, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:10, pm1: starting B1 = 15M, B2 = gmp-ecm default on C166
01/30/22 22:15:14, nfs: input divides 10^188 - 34750
01/30/22 22:15:14, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:14, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:14, current ECM pretesting depth: 30.81
01/30/22 22:15:14, scheduled 904 curves at B1=1000000 toward target pretesting depth of 39.73
01/30/22 22:15:16, ecm: commencing 912 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=1M, B2=100M
01/30/22 22:15:56, ecm: finished 1152 curves using AVX-ECM method on C166 input, B1=1M, B2=100M
01/30/22 22:15:57, nfs: input divides 10^188 - 34750
01/30/22 22:15:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:57, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:57, current ECM pretesting depth: 35.72
01/30/22 22:15:57, scheduled 1883 curves at B1=3000000 toward target pretesting depth of 39.73
01/30/22 22:15:58, ecm: commencing 1920 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=3M, B2=300M
01/30/22 22:19:13, ecm: finished 1920 curves using AVX-ECM method on C166 input, B1=3M, B2=300M
01/30/22 22:19:14, nfs: input divides 10^188 - 34750
01/30/22 22:19:14, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, final ECM pretested depth: 39.81
01/30/22 22:19:14, scheduler: switching to sieve method
01/30/22 22:19:14, nfs: commencing nfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, nfs: input divides 10^188 - 34750
01/30/22 22:19:14, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:16, test: fb generation took 1.3816 seconds
01/30/22 22:19:16, test: commencing test sieving of polynomial 0 on the rational side over range 12000000-12001000
skew: 2.8669
c5: 4
c0: -139
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 22:20:27, nfs: parsing special-q from .dat file
01/30/22 22:20:27, test: new best estimated total sieving time = 1h 20m 59s (with 48 threads)
01/30/22 22:20:29, test: fb generation took 1.4064 seconds
01/30/22 22:20:29, test: commencing test sieving of polynomial 1 on the rational side over range 12500000-12501000
skew: 5.6118
c5: 1
c0: -1112
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 22:21:37, nfs: parsing special-q from .dat file
01/30/22 22:21:37, test: estimated total sieving time = 1h 23m 54s (with 48 threads)
01/30/22 22:21:39, test: fb generation took 2.0424 seconds
01/30/22 22:21:39, test: commencing test sieving of polynomial 2 on the algebraic side over range 11500000-11501000
skew: 3.1818
c6: 2
c0: -695
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11500000
alim: 11500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 22:23:19, nfs: parsing special-q from .dat file
01/30/22 22:23:19, test: estimated total sieving time = 1h 48m 56s (with 48 threads)
01/30/22 22:23:19, nfs: commencing lattice sieving with 48 threads
01/30/22 22:24:27, nfs: commencing lattice sieving with 48 threads
01/30/22 22:25:35, nfs: commencing lattice sieving with 48 threads
01/30/22 22:26:41, nfs: commencing lattice sieving with 48 threads
01/30/22 22:27:50, nfs: commencing lattice sieving with 48 threads
01/30/22 22:28:54, nfs: commencing lattice sieving with 48 threads
01/30/22 22:30:00, nfs: commencing lattice sieving with 48 threads
01/30/22 22:31:09, nfs: commencing lattice sieving with 48 threads
01/30/22 22:32:17, nfs: commencing lattice sieving with 48 threads
01/30/22 22:33:23, nfs: commencing lattice sieving with 48 threads
01/30/22 22:34:31, nfs: commencing lattice sieving with 48 threads
01/30/22 22:35:40, nfs: commencing lattice sieving with 48 threads
01/30/22 22:36:51, nfs: commencing lattice sieving with 48 threads
01/30/22 22:37:58, nfs: commencing lattice sieving with 48 threads
01/30/22 22:39:08, nfs: commencing lattice sieving with 48 threads
01/30/22 22:40:16, nfs: commencing lattice sieving with 48 threads
01/30/22 22:41:22, nfs: commencing lattice sieving with 48 threads
01/30/22 22:42:33, nfs: commencing lattice sieving with 48 threads
01/30/22 22:43:41, nfs: commencing lattice sieving with 48 threads
01/30/22 22:44:49, nfs: commencing lattice sieving with 48 threads
01/30/22 22:46:01, nfs: commencing lattice sieving with 48 threads
01/30/22 22:47:10, nfs: commencing lattice sieving with 48 threads
01/30/22 22:48:21, nfs: commencing lattice sieving with 48 threads
01/30/22 22:49:33, nfs: commencing lattice sieving with 48 threads
01/30/22 22:50:41, nfs: commencing lattice sieving with 48 threads
01/30/22 22:51:51, nfs: commencing lattice sieving with 48 threads
01/30/22 22:53:04, nfs: commencing lattice sieving with 48 threads
01/30/22 22:54:16, nfs: commencing lattice sieving with 48 threads
01/30/22 22:55:27, nfs: commencing lattice sieving with 48 threads
01/30/22 22:56:38, nfs: commencing lattice sieving with 48 threads
01/30/22 22:57:50, nfs: commencing lattice sieving with 48 threads
01/30/22 22:59:00, nfs: commencing lattice sieving with 48 threads
01/30/22 23:00:13, nfs: commencing lattice sieving with 48 threads
01/30/22 23:01:23, nfs: commencing lattice sieving with 48 threads
01/30/22 23:02:34, nfs: commencing lattice sieving with 48 threads
01/30/22 23:03:46, nfs: commencing lattice sieving with 48 threads
01/30/22 23:04:59, nfs: commencing lattice sieving with 48 threads
01/30/22 23:06:09, nfs: commencing lattice sieving with 48 threads
01/30/22 23:07:19, nfs: commencing lattice sieving with 48 threads
01/30/22 23:08:30, nfs: commencing lattice sieving with 48 threads
01/30/22 23:09:41, nfs: commencing lattice sieving with 48 threads
01/30/22 23:10:52, nfs: commencing lattice sieving with 48 threads
01/30/22 23:12:03, nfs: commencing lattice sieving with 48 threads
01/30/22 23:13:13, nfs: commencing lattice sieving with 48 threads
01/30/22 23:14:26, nfs: commencing lattice sieving with 48 threads
01/30/22 23:15:38, nfs: commencing lattice sieving with 48 threads
01/30/22 23:16:49, nfs: commencing lattice sieving with 48 threads
01/30/22 23:18:00, nfs: commencing lattice sieving with 48 threads
01/30/22 23:19:13, nfs: commencing lattice sieving with 48 threads
01/30/22 23:20:25, nfs: commencing lattice sieving with 48 threads
01/30/22 23:21:39, nfs: commencing lattice sieving with 48 threads
01/30/22 23:22:49, nfs: commencing lattice sieving with 48 threads
01/30/22 23:24:02, nfs: commencing lattice sieving with 48 threads
01/30/22 23:25:16, nfs: commencing lattice sieving with 48 threads
01/30/22 23:26:30, nfs: commencing lattice sieving with 48 threads
01/30/22 23:27:41, nfs: commencing lattice sieving with 48 threads
01/30/22 23:28:54, nfs: commencing lattice sieving with 48 threads
01/30/22 23:30:10, nfs: commencing lattice sieving with 48 threads
01/30/22 23:31:22, nfs: commencing lattice sieving with 48 threads
01/30/22 23:32:37, nfs: commencing lattice sieving with 48 threads
01/30/22 23:33:49, nfs: commencing msieve filtering
01/30/22 23:35:48, nfs: raising min_rels by 5.00 percent to 10653268
01/30/22 23:35:48, nfs: commencing lattice sieving with 48 threads
01/30/22 23:37:03, nfs: commencing lattice sieving with 48 threads
01/30/22 23:38:17, nfs: commencing lattice sieving with 48 threads
01/30/22 23:39:32, nfs: commencing lattice sieving with 48 threads
01/30/22 23:40:47, nfs: commencing msieve filtering
01/30/22 23:42:50, nfs: raising min_rels by 5.00 percent to 11333075
01/30/22 23:42:50, nfs: commencing lattice sieving with 48 threads
01/30/22 23:44:05, nfs: commencing lattice sieving with 48 threads
01/30/22 23:45:18, nfs: commencing lattice sieving with 48 threads
01/30/22 23:46:32, nfs: commencing lattice sieving with 48 threads
01/30/22 23:47:50, nfs: commencing msieve filtering
01/30/22 23:49:58, nfs: raising min_rels by 5.00 percent to 12003474
01/30/22 23:49:58, nfs: commencing lattice sieving with 48 threads
01/30/22 23:51:12, nfs: commencing lattice sieving with 48 threads
01/30/22 23:52:28, nfs: commencing lattice sieving with 48 threads
01/30/22 23:53:46, nfs: commencing lattice sieving with 48 threads
01/30/22 23:55:03, nfs: commencing msieve filtering
01/30/22 23:57:21, nfs: raising min_rels by 5.00 percent to 12674615
01/30/22 23:57:21, nfs: commencing lattice sieving with 48 threads
01/30/22 23:58:37, nfs: commencing lattice sieving with 48 threads
01/30/22 23:59:51, nfs: commencing lattice sieving with 48 threads
01/31/22 00:01:12, nfs: commencing lattice sieving with 48 threads
01/31/22 00:02:25, nfs: commencing msieve filtering
01/31/22 00:06:00, nfs: commencing msieve linear algebra
01/31/22 00:23:22, nfs: commencing msieve sqrt
01/31/22 00:24:39, prp53 = 59791133893914439662989421742449372738594587045387459
01/31/22 00:24:39, prp113 = 44207549081582012337157047078688051751514086923342965973227967949286750524834551395001931674712462872856918769073
01/31/22 00:24:39, NFS elapsed time = 7524.6334 seconds.
01/31/22 00:24:39, 
01/31/22 00:24:39, 
01/31/22 00:24:39, Total factoring time = 7782.1261 seconds
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 11:09:36 UTC 2022 年 1 月 6 日 (木) 20 時 9 分 36 秒 (日本時間)

4×10186-1399

c179

name 名前Bob Backstrom
date 日付January 10, 2022 23:00:10 UTC 2022 年 1 月 11 日 (火) 8 時 0 分 10 秒 (日本時間)
composite number 合成数
38120448781750986383289924148788724169476691723332952033544393869092034475867035074119828142724370695480617805533657740258488473315004449752335732815451788453733482921786397802379<179>
prime factors 素因数
711479805152534474804299474697702073594847026724865443<54>
53579101621272758763690971371247500364592671716243515003563420549548521600638575600369174068610804003849816291926966495407353<125>
factorization results 素因数分解の結果
Number: n
N=38120448781750986383289924148788724169476691723332952033544393869092034475867035074119828142724370695480617805533657740258488473315004449752335732815451788453733482921786397802379  ( 179 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Jan 11 09:55:00 2022  p54 factor: 711479805152534474804299474697702073594847026724865443
Tue Jan 11 09:55:00 2022  p125 factor: 53579101621272758763690971371247500364592671716243515003563420549548521600638575600369174068610804003849816291926966495407353
Tue Jan 11 09:55:00 2022  elapsed time 00:31:34 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 4x10^186-139 = 8(184)58
#
n: 38120448781750986383289924148788724169476691723332952033544393869092034475867035074119828142724370695480617805533657740258488473315004449752335732815451788453733482921786397802379
m: 10000000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 5.734e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3352769 hash collisions in 30602363 relations (29123856 unique)
Msieve: matrix is 1028972 x 1029198 (354.4 MB)

Sieving start time : 2022/01/11 02:57:28
Sieving end time  : 2022/01/11 09:21:02

Total sieving time: 6hrs 23min 34secs.

Total relation processing time: 0hrs 18min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 23sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 14:32:24 UTC 2022 年 1 月 6 日 (木) 23 時 32 分 24 秒 (日本時間)

4×10189-1399

c152

name 名前Ray Chandler
date 日付February 1, 2022 13:12:38 UTC 2022 年 2 月 1 日 (火) 22 時 12 分 38 秒 (日本時間)
composite number 合成数
36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583<152>
prime factors 素因数
4287991539125580135108036749246244168028687841<46>
8466423351599888622849258659457387310091078121031787225939685469476555484927752496753117008568679209033663<106>
factorization results 素因数分解の結果
02/01/22 02:30:52, 
02/01/22 02:30:52, ****************************
02/01/22 02:30:52, Starting factorization of 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888858
02/01/22 02:30:52, using pretesting plan: normal
02/01/22 02:30:52, using specified qs/gnfs crossover of 100 digits
02/01/22 02:30:52, using specified qs/snfs crossover of 75 digits
02/01/22 02:30:52, ****************************
02/01/22 02:30:52, div: found prime factor = 2
02/01/22 02:30:52, div: found prime factor = 3
02/01/22 02:30:52, div: found prime factor = 11
02/01/22 02:30:52, div: found prime factor = 13
02/01/22 02:30:52, rho: x^2 + 3, starting 1000 iterations on C187
02/01/22 02:30:52, prp5 = 22807
02/01/22 02:30:52, rho: x^2 + 3, starting 1000 iterations on C182
02/01/22 02:30:52, prp5 = 28069
02/01/22 02:30:52, rho: x^2 + 3, starting 1000 iterations on C178
02/01/22 02:30:52, rho: x^2 + 2, starting 1000 iterations on C178
02/01/22 02:30:52, rho: x^2 + 1, starting 1000 iterations on C178
02/01/22 02:30:52, nfs: input divides 10^192 - 34750
02/01/22 02:30:52, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, nfs: input divides 10^192 - 34750
02/01/22 02:30:52, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, pm1: starting B1 = 150K, B2 = gmp-ecm default on C178
02/01/22 02:30:52, nfs: input divides 10^192 - 34750
02/01/22 02:30:52, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, current ECM pretesting depth: 0.00
02/01/22 02:30:52, scheduled 30 curves at B1=2000 toward target pretesting depth of 42.60
02/01/22 02:30:52, ecm: commencing 48 curves using AVX-ECM method on 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347, B1=2k, B2=200k
02/01/22 02:30:53, ecm: finished 384 curves using AVX-ECM method on C178 input, B1=2k, B2=200k
02/01/22 02:30:53, nfs: input divides 10^192 - 34750
02/01/22 02:30:53, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, current ECM pretesting depth: 17.27
02/01/22 02:30:53, scheduled 74 curves at B1=11000 toward target pretesting depth of 42.60
02/01/22 02:30:53, ecm: commencing 96 curves using AVX-ECM method on 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347, B1=11k, B2=1100k
02/01/22 02:30:53, ecm: finished 384 curves using AVX-ECM method on C178 input, B1=11k, B2=1100k
02/01/22 02:30:53, nfs: input divides 10^192 - 34750
02/01/22 02:30:53, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, current ECM pretesting depth: 21.28
02/01/22 02:30:53, scheduled 214 curves at B1=50000 toward target pretesting depth of 42.60
02/01/22 02:30:54, ecm: commencing 240 curves using AVX-ECM method on 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347, B1=50k, B2=5M
02/01/22 02:30:54, ecm: finished 0 curves using AVX-ECM method on C178 input, B1=50k, B2=5M
02/01/22 02:30:55, prp26 = 44577035768639184183300709 (curve=122 stg=2 B1=50000 B2=5000000 sigma=267581043 thread=15 vecpos=2)
02/01/22 02:30:55, nfs: input divides 10^192 - 34750
02/01/22 02:30:55, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:55, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:55, current ECM pretesting depth: 21.28
02/01/22 02:30:55, scheduled 214 curves at B1=50000 toward target pretesting depth of 36.38
02/01/22 02:30:55, ecm: commencing 240 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=50k, B2=5M
02/01/22 02:30:56, ecm: finished 384 curves using AVX-ECM method on C152 input, B1=50k, B2=5M
02/01/22 02:30:56, nfs: input divides 10^192 - 34750
02/01/22 02:30:56, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:56, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:56, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C152
02/01/22 02:30:57, nfs: input divides 10^192 - 34750
02/01/22 02:30:57, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:57, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:57, current ECM pretesting depth: 25.62
02/01/22 02:30:57, scheduled 430 curves at B1=250000 toward target pretesting depth of 36.38
02/01/22 02:30:58, ecm: commencing 432 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=250k, B2=25M
02/01/22 02:31:05, ecm: finished 768 curves using AVX-ECM method on C152 input, B1=250k, B2=25M
02/01/22 02:31:05, nfs: input divides 10^192 - 34750
02/01/22 02:31:05, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:05, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:05, pm1: starting B1 = 15M, B2 = gmp-ecm default on C152
02/01/22 02:31:09, nfs: input divides 10^192 - 34750
02/01/22 02:31:09, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:09, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:09, current ECM pretesting depth: 30.81
02/01/22 02:31:09, scheduled 904 curves at B1=1000000 toward target pretesting depth of 36.38
02/01/22 02:31:11, ecm: commencing 912 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=1M, B2=100M
02/01/22 02:31:51, ecm: finished 1152 curves using AVX-ECM method on C152 input, B1=1M, B2=100M
02/01/22 02:31:52, nfs: input divides 10^192 - 34750
02/01/22 02:31:52, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:52, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:52, current ECM pretesting depth: 35.72
02/01/22 02:31:52, scheduled 308 curves at B1=3000000 toward target pretesting depth of 36.38
02/01/22 02:31:53, ecm: commencing 336 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=3M, B2=300M
02/01/22 02:32:32, ecm: finished 384 curves using AVX-ECM method on C152 input, B1=3M, B2=300M
02/01/22 02:32:33, nfs: input divides 10^192 - 34750
02/01/22 02:32:33, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, final ECM pretested depth: 36.54
02/01/22 02:32:33, scheduler: switching to sieve method
02/01/22 02:32:33, nfs: commencing nfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, nfs: input divides 10^192 - 34750
02/01/22 02:32:33, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:35, test: fb generation took 1.5443 seconds
02/01/22 02:32:35, test: commencing test sieving of polynomial 0 on the rational side over range 13500000-13501000
skew: 4.3181
c5: 2
c0: -695
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 13500000
alim: 13500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 02:33:54, nfs: parsing special-q from .dat file
02/01/22 02:33:54, test: new best estimated total sieving time = 2h 3m 53s (with 48 threads)
02/01/22 02:33:55, test: fb generation took 1.5261 seconds
02/01/22 02:33:55, test: commencing test sieving of polynomial 1 on the rational side over range 13500000-13501000
skew: 8.7007
c5: 1
c0: -11120
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 13500000
alim: 13500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 02:35:14, nfs: parsing special-q from .dat file
02/01/22 02:35:14, test: estimated total sieving time = 2h 10m 12s (with 48 threads)
02/01/22 02:35:16, test: fb generation took 2.3059 seconds
02/01/22 02:35:16, test: commencing test sieving of polynomial 2 on the algebraic side over range 13000000-13001000
skew: 2.0000
c6: 1
c0: -34750
Y1: -1
Y0: 100000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 02:36:24, nfs: parsing special-q from .dat file
02/01/22 02:36:24, test: estimated total sieving time = 3h 39m 15s (with 48 threads)
02/01/22 02:36:24, nfs: commencing lattice sieving with 48 threads
02/01/22 02:39:09, nfs: commencing lattice sieving with 48 threads
02/01/22 02:41:51, nfs: commencing lattice sieving with 48 threads
02/01/22 02:44:37, nfs: commencing lattice sieving with 48 threads
02/01/22 02:47:14, nfs: commencing lattice sieving with 48 threads
02/01/22 02:49:59, nfs: commencing lattice sieving with 48 threads
02/01/22 02:52:37, nfs: commencing lattice sieving with 48 threads
02/01/22 02:55:14, nfs: commencing lattice sieving with 48 threads
02/01/22 02:57:58, nfs: commencing lattice sieving with 48 threads
02/01/22 03:00:45, nfs: commencing lattice sieving with 48 threads
02/01/22 03:03:29, nfs: commencing lattice sieving with 48 threads
02/01/22 03:06:19, nfs: commencing lattice sieving with 48 threads
02/01/22 03:09:01, nfs: commencing lattice sieving with 48 threads
02/01/22 03:11:48, nfs: commencing lattice sieving with 48 threads
02/01/22 03:14:45, nfs: commencing lattice sieving with 48 threads
02/01/22 03:17:27, nfs: commencing lattice sieving with 48 threads
02/01/22 03:20:11, nfs: commencing lattice sieving with 48 threads
02/01/22 03:23:03, nfs: commencing lattice sieving with 48 threads
02/01/22 03:25:55, nfs: commencing lattice sieving with 48 threads
02/01/22 03:28:48, nfs: commencing lattice sieving with 48 threads
02/01/22 03:31:40, nfs: commencing lattice sieving with 48 threads
02/01/22 03:34:31, nfs: commencing lattice sieving with 48 threads
02/01/22 03:37:15, nfs: commencing lattice sieving with 48 threads
02/01/22 03:40:03, nfs: commencing lattice sieving with 48 threads
02/01/22 03:42:52, nfs: commencing lattice sieving with 48 threads
02/01/22 03:45:35, nfs: commencing lattice sieving with 48 threads
02/01/22 03:48:33, nfs: commencing lattice sieving with 48 threads
02/01/22 03:51:19, nfs: commencing lattice sieving with 48 threads
02/01/22 03:54:05, nfs: commencing lattice sieving with 48 threads
02/01/22 03:56:48, nfs: commencing lattice sieving with 48 threads
02/01/22 03:59:34, nfs: commencing lattice sieving with 48 threads
02/01/22 04:02:22, nfs: commencing lattice sieving with 48 threads
02/01/22 04:05:09, nfs: commencing lattice sieving with 48 threads
02/01/22 04:07:58, nfs: commencing lattice sieving with 48 threads
02/01/22 04:10:42, nfs: commencing lattice sieving with 48 threads
02/01/22 04:13:29, nfs: commencing lattice sieving with 48 threads
02/01/22 04:16:13, nfs: commencing lattice sieving with 48 threads
02/01/22 04:18:55, nfs: commencing lattice sieving with 48 threads
02/01/22 04:21:38, nfs: commencing lattice sieving with 48 threads
02/01/22 04:24:26, nfs: commencing lattice sieving with 48 threads
02/01/22 04:27:12, nfs: commencing msieve filtering
02/01/22 04:29:17, nfs: raising min_rels by 5.00 percent to 10686861
02/01/22 04:29:17, nfs: commencing lattice sieving with 48 threads
02/01/22 04:32:01, nfs: commencing lattice sieving with 48 threads
02/01/22 04:34:46, nfs: commencing lattice sieving with 48 threads
02/01/22 04:37:45, nfs: commencing msieve filtering
02/01/22 04:39:53, nfs: raising min_rels by 5.00 percent to 11462398
02/01/22 04:39:53, nfs: commencing lattice sieving with 48 threads
02/01/22 04:42:48, nfs: commencing lattice sieving with 48 threads
02/01/22 04:45:33, nfs: commencing lattice sieving with 48 threads
02/01/22 04:48:17, nfs: commencing msieve filtering
02/01/22 04:50:32, nfs: raising min_rels by 5.00 percent to 12239440
02/01/22 04:50:32, nfs: commencing lattice sieving with 48 threads
02/01/22 04:53:25, nfs: commencing lattice sieving with 48 threads
02/01/22 04:56:12, nfs: commencing lattice sieving with 48 threads
02/01/22 04:59:00, nfs: commencing msieve filtering
02/01/22 05:01:24, nfs: raising min_rels by 5.00 percent to 13015246
02/01/22 05:01:24, nfs: commencing lattice sieving with 48 threads
02/01/22 05:04:15, nfs: commencing lattice sieving with 48 threads
02/01/22 05:07:04, nfs: commencing lattice sieving with 48 threads
02/01/22 05:09:55, nfs: commencing msieve filtering
02/01/22 05:13:38, nfs: commencing msieve linear algebra
02/01/22 05:30:09, nfs: commencing msieve sqrt
02/01/22 05:32:33, prp46 = 4287991539125580135108036749246244168028687841
02/01/22 05:32:33, prp106 = 8466423351599888622849258659457387310091078121031787225939685469476555484927752496753117008568679209033663
02/01/22 05:32:33, NFS elapsed time = 10800.1350 seconds.
02/01/22 05:32:33, 
02/01/22 05:32:33, 
02/01/22 05:32:33, Total factoring time = 10901.8340 seconds
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 8, 2022 09:23:30 UTC 2022 年 1 月 8 日 (土) 18 時 23 分 30 秒 (日本時間)

4×10191-1399

c138

name 名前ebina
date 日付February 2, 2022 22:02:26 UTC 2022 年 2 月 3 日 (木) 7 時 2 分 26 秒 (日本時間)
composite number 合成数
118090560362963645406382499912606777482207328026242051945798227673418761864319754753916285179236752581378325512565848753765850851433835799<138>
prime factors 素因数
7303058530039176512858374154183518752724943532984921709<55>
16170014231329207303495175213634532058255578198083964750163987392974562517543733011<83>
factorization results 素因数分解の結果
Thu Feb  3 03:49:22 2022  Msieve v. 1.53 (SVN unknown)
Thu Feb  3 03:49:22 2022  random seeds: d9311c00 84ca4fcd
Thu Feb  3 03:49:22 2022  factoring 118090560362963645406382499912606777482207328026242051945798227673418761864319754753916285179236752581378325512565848753765850851433835799 (138 digits)
Thu Feb  3 03:49:22 2022  searching for 15-digit factors
Thu Feb  3 03:49:22 2022  commencing number field sieve (138-digit input)
Thu Feb  3 03:49:22 2022  R0: -100000000000000000000000000000000000000
Thu Feb  3 03:49:22 2022  R1: 1
Thu Feb  3 03:49:22 2022  A0: -139
Thu Feb  3 03:49:22 2022  A1: 0
Thu Feb  3 03:49:22 2022  A2: 0
Thu Feb  3 03:49:22 2022  A3: 0
Thu Feb  3 03:49:22 2022  A4: 0
Thu Feb  3 03:49:22 2022  A5: 40
Thu Feb  3 03:49:22 2022  skew 1.28, size 2.579e-13, alpha -0.360, combined = 3.575e-11 rroots = 1
Thu Feb  3 03:49:22 2022  
Thu Feb  3 03:49:22 2022  commencing square root phase
Thu Feb  3 03:49:22 2022  reading relations for dependency 1
Thu Feb  3 03:49:23 2022  read 1018994 cycles
Thu Feb  3 03:49:24 2022  cycles contain 3265360 unique relations
Thu Feb  3 03:49:49 2022  read 3265360 relations
Thu Feb  3 03:49:58 2022  multiplying 3265360 relations
Thu Feb  3 03:50:56 2022  multiply complete, coefficients have about 91.86 million bits
Thu Feb  3 03:50:57 2022  initial square root is modulo 3922231
Thu Feb  3 03:52:07 2022  sqrtTime: 165
Thu Feb  3 03:52:07 2022  p55 factor: 7303058530039176512858374154183518752724943532984921709
Thu Feb  3 03:52:07 2022  p83 factor: 16170014231329207303495175213634532058255578198083964750163987392974562517543733011
Thu Feb  3 03:52:07 2022  elapsed time 00:02:45
Thu Feb 03 03:52:07 2022 -> Computing 1.64383e+09 scale for this machine...
Thu Feb 03 03:52:07 2022 -> procrels -speedtest> PIPE
Thu Feb 03 03:52:09 2022 -> Factorization summary written to s192-88858_191.txt
execution environment 実行環境
windows 11 core i9 9900k

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 8, 2022 12:05:01 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 1 秒 (日本時間)

4×10193-1399

c146

name 名前Eric Jeancolas
date 日付February 11, 2022 02:49:20 UTC 2022 年 2 月 11 日 (金) 11 時 49 分 20 秒 (日本時間)
composite number 合成数
60255937506721760969186574723852769107248015889348474845855459265543482414803118968955510002250029889142693858021718469960125176460683140017088611<146>
prime factors 素因数
145683741448004715244082931830498346229369772670930134516190761238971281<72>
413607839198908948570718875819719560805676014587137639309865832449063946931<75>
factorization results 素因数分解の結果
60255937506721760969186574723852769107248015889348474845855459265543482414803118968955510002250029889142693858021718469960125176460683140017088611=145683741448004715244082931830498346229369772670930134516190761238971281*413607839198908948570718875819719560805676014587137639309865832449063946931

cado polynomial
n: 60255937506721760969186574723852769107248015889348474845855459265543482414803118968955510002250029889142693858021718469960125176460683140017088611
skew: 1.02
type: snfs
c0: -139
c5: 125
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5-139
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 413607839198908948570718875819719560805676014587137639309865832449063946931 145683741448004715244082931830498346229369772670930134516190761238971281
Info:Square Root: Total cpu/real time for sqrt: 578.25/182.888
Info:Filtering - Singleton removal: Total cpu/real time for purge: 404.04/474.552
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26908761
Info:Lattice Sieving: Average J: 1893.98 for 2153753 special-q, max bucket fill -bkmult 1.0,1s:1.134480
Info:Lattice Sieving: Total time: 455692s
Info:Linear Algebra: Total cpu/real time for bwc: 76550.6/19607.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 48923.6, WCT time 12491.06, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (66560 iterations)
Info:Linear Algebra: Lingen CPU time 477.37, WCT time 121.05
Info:Linear Algebra: Mksol: CPU time 26428.88,  WCT time 6758.78, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33280 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.68/31.7263
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 113.22/130.927
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 503.99/513.759
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 413.5s
Info:Filtering - Merging: Merged matrix has 2128006 rows and total weight 361907967 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 573.5/159.113
Info:Filtering - Merging: Total cpu/real time for replay: 82.36/72.5437
Info:Generate Factor Base: Total cpu/real time for makefb: 4.98/2.48267
Info:Quadratic Characters: Total cpu/real time for characters: 74.47/31.9959
Info:Square Root: Total cpu/real time for sqrt: 578.25/182.888
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 932919/248907
Info:root: Cleaning up computation data in /tmp/cado.ojvljp3c
413607839198908948570718875819719560805676014587137639309865832449063946931 145683741448004715244082931830498346229369772670930134516190761238971281
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 19:07:43 UTC 2022 年 1 月 11 日 (火) 4 時 7 分 43 秒 (日本時間)
4511e64480Ignacio SantosFebruary 1, 2022 14:03:32 UTC 2022 年 2 月 1 日 (火) 23 時 3 分 32 秒 (日本時間)

4×10194-1399

c169

name 名前Bob Backstrom
date 日付January 26, 2022 12:54:12 UTC 2022 年 1 月 26 日 (水) 21 時 54 分 12 秒 (日本時間)
composite number 合成数
7028193441907672240399270686003831058043300047480934258205921106181559762594804235714826502223461731093135277529590319738123718931097232513594743066398010302987792407713<169>
prime factors 素因数
54774596747447047445261414431301434568144303<44>
128311185462725375684812721063881813359180826750272603641801565563213473475146649359010825685788451841635101043069414131447471<126>
factorization results 素因数分解の結果
Number: n
N=7028193441907672240399270686003831058043300047480934258205921106181559762594804235714826502223461731093135277529590319738123718931097232513594743066398010302987792407713  ( 169 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Jan 26 23:49:49 2022  p44 factor: 54774596747447047445261414431301434568144303
Wed Jan 26 23:49:49 2022  p126 factor: 128311185462725375684812721063881813359180826750272603641801565563213473475146649359010825685788451841635101043069414131447471
Wed Jan 26 23:49:49 2022  elapsed time 00:42:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 4x10^194-139 = 8(192)58
#
n: 7028193441907672240399270686003831058043300047480934258205921106181559762594804235714826502223461731093135277529590319738123718931097232513594743066398010302987792407713
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 2.71e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4196880 hash collisions in 33082607 relations (30793270 unique)
Msieve: matrix is 1334870 x 1335096 (464.1 MB)

Sieving start time : 2022/01/26 18:11:19
Sieving end time  : 2022/01/26 23:06:07

Total sieving time: 4hrs 54min 48secs.

Total relation processing time: 0hrs 32min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 21:06:32 UTC 2022 年 1 月 11 日 (火) 6 時 6 分 32 秒 (日本時間)

4×10195-1399

c146

name 名前Ignacio Santos
date 日付January 31, 2022 19:24:39 UTC 2022 年 2 月 1 日 (火) 4 時 24 分 39 秒 (日本時間)
composite number 合成数
52508650501330277525198411660525105029550187479439415056849292661230234122962031394683647444593172339079904088225425970693153839004437505919737309<146>
prime factors 素因数
1438087120117211946522947803362924318690415699<46>
36512843879062442351229042810657835885734126252742281562576445518403148753012586082138126898898501391<101>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2557707353
Step 1 took 21641ms
Step 2 took 10859ms
********** Factor found in step 2: 1438087120117211946522947803362924318690415699
Found prime factor of 46 digits: 1438087120117211946522947803362924318690415699
Prime cofactor 36512843879062442351229042810657835885734126252742281562576445518403148753012586082138126898898501391 has 101 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 21:45:09 UTC 2022 年 1 月 11 日 (火) 6 時 45 分 9 秒 (日本時間)

4×10196-1399

c162

name 名前Dmitry Domanov
date 日付January 12, 2022 09:28:35 UTC 2022 年 1 月 12 日 (水) 18 時 28 分 35 秒 (日本時間)
composite number 合成数
819046077210488841458216742366498248378244906440354765422299767482432163216129633143773659326007018622542858868065532331017839258425787872431670606285981253393869<162>
prime factors 素因数
259951605062561074278264384994458667279<39>
3150763685468969043289171175325801622080958542956412485792938306274147030865663221832720787277821248021981241584252552762211<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:838368530
Step 1 took 18956ms
Step 2 took 8484ms
********** Factor found in step 2: 259951605062561074278264384994458667279
Found prime factor of 39 digits: 259951605062561074278264384994458667279
Prime cofactor 3150763685468969043289171175325801622080958542956412485792938306274147030865663221832720787277821248021981241584252552762211 has 124 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 12, 2022 05:46:29 UTC 2022 年 1 月 12 日 (水) 14 時 46 分 29 秒 (日本時間)

4×10198-1399

c120

name 名前Bob Backstrom
date 日付December 30, 2021 16:46:08 UTC 2021 年 12 月 31 日 (金) 1 時 46 分 8 秒 (日本時間)
composite number 合成数
899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281<120>
prime factors 素因数
156265373350577495361565908023225133986066567231<48>
5759099419675494278592946043409206734533281678290732293346133850183311551<73>
factorization results 素因数分解の結果
CADO

STA:Fri 31 Dec 2021 01:49:40 AEDT (899,947,820,978,685,302,491,775,136,789,160,040,423,821,264,444,751,505,684,010,453,184,417,737,499,617,058,798,897,614,191,531,101,288,118,544,178,360,385,281 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281 2>&1 | tee -a log133

Debug:root: Looking for parameter file for c120 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.2ku714if
Info:Database: Opened connection to database /tmp/cado.2ku714if/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8999478209786853024917751367891600404238212644447515056840104531844177374996170587988
97614191531101288118544178360385281
Debug:root: Root parameter dictionary:
N = 899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281
skew: 71987.298
c0: 36695048277067576935570144840
c1: -771647528512918427242543
c2: -28008148699768442556
c3: -617512702302275
c4: 3437893878
c5: 30600
Y0: -176453664845579463836214
Y1: 52397325329804977
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.8e-09
# f(x) = 30600*x^5+3437893878*x^4-617512702302275*x^3-28008148699768442556*x^2-771647528512918427242543*x+36695048277067576935570144840
# g(x) = 52397325329804977*x-176453664845579463836214
...
Info:Square Root: finished
Info:Square Root: Factors: 5759099419675494278592946043409206734533281678290732293346133850183311551 156265373350577495361565908023225133986066567231
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10421/36.220/42.867/48.190/1.016
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10421/34.030/38.132/43.380/1.136
Info:Polynomial Selection (size optimized): Total time: 1126.44
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 457.36
Info:Polynomial Selection (root optimized): Rootsieve time: 456.51
Info:Generate Factor Base: Total cpu/real time for makefb: 23.38/2.12353
Info:Generate Free Relations: Total cpu/real time for freerel: 149.89/9.88673
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10247809
Info:Lattice Sieving: Average J: 8152.34 for 19267 special-q, max bucket fill: 0.683648
Info:Lattice Sieving: Total CPU time: 60576.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.91/34.2219
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.83/81.487
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.19/64.4762
Info:Filtering - Merging: Total cpu/real time for merge: 434.77/352.388
Info:Filtering - Merging: Total cpu/real time for replay: 33.72/26.4231
Info:Linear Algebra: Total cpu/real time for bwc: 18457.1/0.000315428
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 762.91
Info:Linear Algebra: Lingen CPU time 209.16, WCT time 20.64
Info:Linear Algebra: Mksol: WCT time 428.77
Info:Quadratic Characters: Total cpu/real time for characters: 34.53/8.22697
Info:Square Root: Total cpu/real time for sqrt: 811.7/116.223
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 82441.2/5966.19
Info:root: Cleaning up computation data in /tmp/cado.2ku714if
5759099419675494278592946043409206734533281678290732293346133850183311551 156265373350577495361565908023225133986066567231

END:Fri 31 Dec 2021 03:29:07 AEDT (899,947,820,978,685,302,491,775,136,789,160,040,423,821,264,444,751,505,684,010,453,184,417,737,499,617,058,798,897,614,191,531,101,288,118,544,178,360,385,281 - C120)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:25:46 UTC 2021 年 12 月 30 日 (木) 22 時 25 分 46 秒 (日本時間)

4×10200-1399

c176

name 名前Bob Backstrom
date 日付January 29, 2022 14:25:43 UTC 2022 年 1 月 29 日 (土) 23 時 25 分 43 秒 (日本時間)
composite number 合成数
87145504516505502893632844362660520113659146191243095972677883831118689350982476659605989753536888499579671239152456445576673843151336081812696887560452005682668530012147682301<176>
prime factors 素因数
19544818030308678752059009174125273054762543653144124277718283901646269<71>
4458752411067046438172674569658973558788065110152323331620476476748230729373090780004501904376212854174529<106>
factorization results 素因数分解の結果
Number: n
N=87145504516505502893632844362660520113659146191243095972677883831118689350982476659605989753536888499579671239152456445576673843151336081812696887560452005682668530012147682301  ( 176 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Jan 30 01:21:12 2022  p71 factor: 19544818030308678752059009174125273054762543653144124277718283901646269
Sun Jan 30 01:21:12 2022  p106 factor: 4458752411067046438172674569658973558788065110152323331620476476748230729373090780004501904376212854174529
Sun Jan 30 01:21:12 2022  elapsed time 01:07:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.277).
Factorization parameters were as follows:
#
# N = 4x10^200-139 = 8(198)58
#
n: 87145504516505502893632844362660520113659146191243095972677883831118689350982476659605989753536888499579671239152456445576673843151336081812696887560452005682668530012147682301
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 1.78e-11
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4636208 hash collisions in 33687448 relations (30885555 unique)
Msieve: matrix is 1621721 x 1621948 (562.5 MB)

Sieving start time : 2022/01/29 16:45:31
Sieving end time  : 2022/01/30 00:12:54

Total sieving time: 7hrs 27min 23secs.

Total relation processing time: 0hrs 53min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 12, 2022 05:45:27 UTC 2022 年 1 月 12 日 (水) 14 時 45 分 27 秒 (日本時間)
2350Ignacio SantosJanuary 15, 2022 15:34:37 UTC 2022 年 1 月 16 日 (日) 0 時 34 分 37 秒 (日本時間)
4511e63712NyanCatJanuary 16, 2022 11:52:54 UTC 2022 年 1 月 16 日 (日) 20 時 52 分 54 秒 (日本時間)

4×10201-1399

c167

name 名前Bob Backstrom
date 日付January 28, 2022 21:59:28 UTC 2022 年 1 月 29 日 (土) 6 時 59 分 28 秒 (日本時間)
composite number 合成数
12414422920163587593747973314090478734091061258761040252877310088486238664844643816595463957093224485063267502175281430225995858467996066852855198082760977573471596601<167>
prime factors 素因数
390247037496824075602938634974983224819072990901401392413492544657022062107295079<81>
31811703170878316169050841658960586094568617038426660557686691711445620897496884461919<86>
factorization results 素因数分解の結果
Number: n
N=12414422920163587593747973314090478734091061258761040252877310088486238664844643816595463957093224485063267502175281430225995858467996066852855198082760977573471596601  ( 167 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Jan 29 08:54:14 2022  p81 factor: 390247037496824075602938634974983224819072990901401392413492544657022062107295079
Sat Jan 29 08:54:14 2022  p86 factor: 31811703170878316169050841658960586094568617038426660557686691711445620897496884461919
Sat Jan 29 08:54:14 2022  elapsed time 01:26:56 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 4x10^201-139 = 8(199)58
#
n: 12414422920163587593747973314090478734091061258761040252877310088486238664844643816595463957093224485063267502175281430225995858467996066852855198082760977573471596601
m: 10000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 1.372e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4748247 hash collisions in 32717244 relations (29645226 unique)
Msieve: matrix is 1831045 x 1831270 (636.9 MB)

Sieving start time : 2022/01/28 22:43:09
Sieving end time  : 2022/01/29 07:26:40

Total sieving time: 8hrs 43min 31secs.

Total relation processing time: 1hrs 6min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 2sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 11, 2022 22:48:00 UTC 2022 年 1 月 12 日 (水) 7 時 48 分 0 秒 (日本時間)
2350Ignacio SantosJanuary 16, 2022 19:05:14 UTC 2022 年 1 月 17 日 (月) 4 時 5 分 14 秒 (日本時間)
4511e64480Ignacio SantosJanuary 22, 2022 23:27:37 UTC 2022 年 1 月 23 日 (日) 8 時 27 分 37 秒 (日本時間)

4×10202-1399

c200

name 名前Bob Backstrom
date 日付January 23, 2022 15:07:47 UTC 2022 年 1 月 24 日 (月) 0 時 7 分 47 秒 (日本時間)
composite number 合成数
49937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061<200>
prime factors 素因数
13565119542472854362744162086386342080525086980889495702015560425574179<71>
3681322370297541353701049835583830472927112047927890992817238750419049215828350393839883144729086280048641336236317033626939515559<130>
factorization results 素因数分解の結果
Number: n
N=4993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106  
 ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jan 24 02:02:25 2022  p71 factor: 13565119542472854362744162086386342080525086980889495702015560425574179
Mon Jan 24 02:02:25 2022  p130 factor: 3681322370297541353701049835583830472927112047927890992817238750419049215828350393839883144729086280048641336236317033626939515559
Mon Jan 24 02:02:25 2022  elapsed time 01:25:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 4x10^202-139 = 8(200)58
#
n: 49937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061
m: 10000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -139
skew: 0.81
# Murphy_E = 1.242e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4732919 hash collisions in 32708604 relations (29650883 unique)
Msieve: matrix is 1934368 x 1934593 (675.2 MB)

Sieving start time : 2022/01/23 15:53:38
Sieving end time  : 2022/01/24 00:36:29

Total sieving time: 8hrs 42min 51secs.

Total relation processing time: 1hrs 13min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 11, 2022 22:48:08 UTC 2022 年 1 月 12 日 (水) 7 時 48 分 8 秒 (日本時間)
2350Ignacio SantosJanuary 19, 2022 16:55:25 UTC 2022 年 1 月 20 日 (木) 1 時 55 分 25 秒 (日本時間)

4×10204-1399

c184

name 名前Bob Backstrom
date 日付February 6, 2022 03:34:27 UTC 2022 年 2 月 6 日 (日) 12 時 34 分 27 秒 (日本時間)
composite number 合成数
1734145904786743909939715019364825785891430423978438565966195401517090908406065813677194195213290756214143221873909083042876289813659629138722675141341614037027042035466367663715641061<184>
prime factors 素因数
1580581365570293234661340118746264894446580545313913578145334870216030855577<76>
1097156997141392146622346011293497824358644852564977256668424891520883774495447219806886994694990188001941293<109>
factorization results 素因数分解の結果
Number: n
N=1734145904786743909939715019364825785891430423978438565966195401517090908406065813677194195213290756214143221873909083042876289813659629138722675141341614037027042035466367663715641061  ( 184 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Feb  6 14:26:28 2022  p76 factor: 1580581365570293234661340118746264894446580545313913578145334870216030855577
Sun Feb  6 14:26:28 2022  p109 factor: 1097156997141392146622346011293497824358644852564977256668424891520883774495447219806886994694990188001941293
Sun Feb  6 14:26:28 2022  elapsed time 01:53:41 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 4x10^204-139 = 8(202)58
#
n: 1734145904786743909939715019364825785891430423978438565966195401517090908406065813677194195213290756214143221873909083042876289813659629138722675141341614037027042035466367663715641061
m: 10000000000000000000000000000000000
deg: 6
c6: 4
c0: -139
skew: 1.81
# Murphy_E = 1.051e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 43400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5248736 hash collisions in 36842918 relations (33226035 unique)
Msieve: matrix is 1996005 x 1996230 (687.1 MB)

Sieving start time : 2022/02/05 20:22:53
Sieving end time  : 2022/02/06 12:32:08

Total sieving time: 16hrs 9min 15secs.

Total relation processing time: 1hrs 19min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 6sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 11, 2022 22:48:26 UTC 2022 年 1 月 12 日 (水) 7 時 48 分 26 秒 (日本時間)
2350Ray ChandlerFebruary 2, 2022 19:07:03 UTC 2022 年 2 月 3 日 (木) 4 時 7 分 3 秒 (日本時間)
4511e64480Ray ChandlerFebruary 2, 2022 20:19:35 UTC 2022 年 2 月 3 日 (木) 5 時 19 分 35 秒 (日本時間)

4×10206-1399

c173

name 名前Bob Backstrom
date 日付March 20, 2024 18:45:43 UTC 2024 年 3 月 21 日 (木) 3 時 45 分 43 秒 (日本時間)
composite number 合成数
15359044852237954138156027131452652213835783764914026517719713507803010825224850525539349061629554801574442826446734666543464190919126853474220477809297564299542813709011503<173>
prime factors 素因数
29802312347492558181391904077919966119001702667337393258657464142408309<71>
515364199702114721453907706436225520949835705105822673734780298142767779941358917076203459773811877267<102>
factorization results 素因数分解の結果
Number: n
N=15359044852237954138156027131452652213835783764914026517719713507803010825224850525539349061629554801574442826446734666543464190919126853474220477809297564299542813709011503  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Mar 19 16:43:00 2024  prp71 factor: 29802312347492558181391904077919966119001702667337393258657464142408309
Tue Mar 19 16:43:00 2024  prp102 factor: 515364199702114721453907706436225520949835705105822673734780298142767779941358917076203459773811877267
Tue Mar 19 16:43:00 2024  elapsed time 03:24:24 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 2x4x10^206-139 = 8(204)58
#
n: 15359044852237954138156027131452652213835783764914026517719713507803010825224850525539349061629554801574442826446734666543464190919126853474220477809297564299542813709011503
m: 100000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 8.449e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3244740 hash collisions in 19207463 relations (16407983 unique)
Msieve: matrix is 2516169 x 2516394 (710.5 MB)

Sieving start time: 2024/03/18 08:29:57
Sieving end time  : 2024/03/19 13:18:11

Total sieving time: 28hrs 48min 14secs.

Total relation processing time: 3hrs 13min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:48:37 UTC 2022 年 1 月 12 日 (水) 7 時 48 分 37 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 23:22:08 UTC 2022 年 2 月 6 日 (日) 8 時 22 分 8 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:53:24 UTC 2022 年 2 月 19 日 (土) 15 時 53 分 24 秒 (日本時間)
5043e62000 / 70161000Dmitry DomanovFebruary 26, 2022 22:31:22 UTC 2022 年 2 月 27 日 (日) 7 時 31 分 22 秒 (日本時間)
1000Dmitry DomanovMarch 12, 2022 01:28:31 UTC 2022 年 3 月 12 日 (土) 10 時 28 分 31 秒 (日本時間)

4×10207-1399

c205

name 名前Ignacio Santos
date 日付July 18, 2022 12:30:48 UTC 2022 年 7 月 18 日 (月) 21 時 30 分 48 秒 (日本時間)
composite number 合成数
1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001<205>
prime factors 素因数
32747631051731969009669139312680916778893096819719901370819<59>
31635907781068138947609165544138199582074364320647289358579703722552930624441233720369856889934177264750904226853960151186031804618386608141872779<146>
factorization results 素因数分解の結果
N=1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=32747631051731969009669139312680916778893096819719901370819 (pp59)
 r2=31635907781068138947609165544138199582074364320647289358579703722552930624441233720369856889934177264750904226853960151186031804618386608141872779 (pp146)
Version: Msieve v. 1.52 (SVN 927)
Total time: 610.76 hours.
Scaled time: 4752.95 units (timescale=7.782).
Factorization parameters were as follows:
n: 1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001
m: 100000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -139
skew: 0.81
# Murphy_E = 7.644e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 22300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3924032 x 3924261
Total sieving time: 606.91 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.62 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,207.000,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 610.76 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 21:18:50 UTC 2022 年 1 月 12 日 (水) 6 時 18 分 50 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 23:21:28 UTC 2022 年 2 月 6 日 (日) 8 時 21 分 28 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:20:41 UTC 2022 年 3 月 3 日 (木) 3 時 20 分 41 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 5, 2022 21:38:48 UTC 2022 年 3 月 6 日 (日) 6 時 38 分 48 秒 (日本時間)

4×10208-1399

c164

name 名前Dmitry Domanov
date 日付January 12, 2022 15:15:48 UTC 2022 年 1 月 13 日 (木) 0 時 15 分 48 秒 (日本時間)
composite number 合成数
15578457761911630194059034771183446933683661324672487274545240544243349150457623036342225922886731070175328689660805760548352375533584497535886398425128915365247449<164>
prime factors 素因数
40764015743659097515863924282830175391<38>
composite cofactor 合成数の残り
382161999442728656233232921645605022718112821892123815494375551717438349935224126327065588459622181096691322677522126759919239<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2275246408
Step 1 took 8834ms
Step 2 took 3231ms
********** Factor found in step 2: 40764015743659097515863924282830175391
Found probable prime factor of 38 digits: 40764015743659097515863924282830175391
Composite cofactor 382161999442728656233232921645605022718112821892123815494375551717438349935224126327065588459622181096691322677522126759919239 has 126 digits

c126

name 名前Ignacio Santos
date 日付January 13, 2022 19:24:39 UTC 2022 年 1 月 14 日 (金) 4 時 24 分 39 秒 (日本時間)
composite number 合成数
382161999442728656233232921645605022718112821892123815494375551717438349935224126327065588459622181096691322677522126759919239<126>
prime factors 素因数
2953418315479291598280158586631498082170148219<46>
129396502161499597763680078010374313624516833507201821457918118137826981241716581<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4004374181
Step 1 took 4813ms
Step 2 took 2875ms
********** Factor found in step 2: 2953418315479291598280158586631498082170148219
Found prime factor of 46 digits: 2953418315479291598280158586631498082170148219
Prime cofactor 129396502161499597763680078010374313624516833507201821457918118137826981241716581 has 81 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 22:48:49 UTC 2022 年 1 月 12 日 (水) 7 時 48 分 49 秒 (日本時間)

4×10209-1399

c171

composite cofactor 合成数の残り
436632308760309081813464844757253776944411110706917955464579318324205639942793743608651743019325971632053098187280533849417695741853353668153315029026275185868793103982183<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:49:02 UTC 2022 年 1 月 12 日 (水) 7 時 49 分 2 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 23:22:20 UTC 2022 年 2 月 6 日 (日) 8 時 22 分 20 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:53:59 UTC 2022 年 2 月 19 日 (土) 15 時 53 分 59 秒 (日本時間)
5043e62000 / 70161000Dmitry DomanovFebruary 26, 2022 22:30:32 UTC 2022 年 2 月 27 日 (日) 7 時 30 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 12, 2022 01:27:33 UTC 2022 年 3 月 12 日 (土) 10 時 27 分 33 秒 (日本時間)

4×10210-1399

c147

name 名前Dmitry Domanov
date 日付February 6, 2022 11:28:47 UTC 2022 年 2 月 6 日 (日) 20 時 28 分 47 秒 (日本時間)
composite number 合成数
315565499841342978431555476069928615714519334824044090469803879836596435612612140648164393613805594308424417179919255375954407197919323941972775209<147>
prime factors 素因数
21518688532756382274938260031342878714911593<44>
14664718036184215803120316562681918243088219636646002405070155279008412641770989066643257896360361496513<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3261958596
Step 1 took 55579ms
Step 2 took 25413ms
********** Factor found in step 2: 21518688532756382274938260031342878714911593
Found prime factor of 44 digits: 21518688532756382274938260031342878714911593
Prime cofactor 14664718036184215803120316562681918243088219636646002405070155279008412641770989066643257896360361496513 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:49:13 UTC 2022 年 1 月 12 日 (水) 7 時 49 分 13 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 5, 2022 23:22:32 UTC 2022 年 2 月 6 日 (日) 8 時 22 分 32 秒 (日本時間)

4×10211-1399

c136

name 名前Eric Jeancolas
date 日付January 9, 2022 04:06:04 UTC 2022 年 1 月 9 日 (日) 13 時 6 分 4 秒 (日本時間)
composite number 合成数
3549425179364362216693891438779324894258855231845229141014108400603523349263865763038636851867113857596821655507182739229545593410271389<136>
prime factors 素因数
187552879272390810932105067435778248146725009769249867<54>
18924930361689542972249764126725910919271786960475847196020649549182249643916950967<83>
factorization results 素因数分解の結果
3549425179364362216693891438779324894258855231845229141014108400603523349263865763038636851867113857596821655507182739229545593410271389=187552879272390810932105067435778248146725009769249867*18924930361689542972249764126725910919271786960475847196020649549182249643916950967

cado polynomial
n: 3549425179364362216693891438779324894258855231845229141014108400603523349263865763038636851867113857596821655507182739229545593410271389
skew: 111111.319
c0: 2669705415678793959220504810752
c1: 379241911744589702588148138
c2: -638853565536099675605
c3: -31856907033610609
c4: -24205365188
c5: 795600
Y0: -112511250415477876609316807
Y1: 28327244414909638547
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.142e-07
# f(x) = 795600*x^5-24205365188*x^4-31856907033610609*x^3-638853565536099675605*x^2+379241911744589702588148138*x+2669705415678793959220504810752
# g(x) = 28327244414909638547*x-112511250415477876609316807

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18924930361689542972249764126725910919271786960475847196020649549182249643916950967 187552879272390810932105067435778248146725009769249867
Info:Square Root: Total cpu/real time for sqrt: 537.69/159.856
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.73/92.3388
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013924
Info:Lattice Sieving: Average J: 3807.56 for 713519 special-q, max bucket fill -bkmult 1.0,1s:1.173640
Info:Lattice Sieving: Total time: 238270s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.69/3.90309
Info:Linear Algebra: Total cpu/real time for bwc: 32855.6/8442.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20922.48, WCT time 5347.94, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45312 iterations)
Info:Linear Algebra: Lingen CPU time 287.51, WCT time 73.03
Info:Linear Algebra: Mksol: CPU time 11392.77,  WCT time 2927.4, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 249.64/63.0573
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.41/88.8117
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7173.4
Info:Polynomial Selection (root optimized): Rootsieve time: 7170.93
Info:Filtering - Merging: Merged matrix has 1447493 rows and total weight 247374289 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 382.49/106.26
Info:Filtering - Merging: Total cpu/real time for replay: 54.26/46.1228
Info:Quadratic Characters: Total cpu/real time for characters: 50.05/21.8688
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54168/39.640/48.713/54.660/0.961
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44112/39.640/43.600/49.360/1.122
Info:Polynomial Selection (size optimized): Total time: 11371.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.79/162.526
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.7s
Info:Square Root: Total cpu/real time for sqrt: 537.69/159.856
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 499335/133891
Info:root: Cleaning up computation data in /tmp/cado.jcnl24qm
18924930361689542972249764126725910919271786960475847196020649549182249643916950967 187552879272390810932105067435778248146725009769249867
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:29:01 UTC 2021 年 12 月 30 日 (木) 22 時 29 分 1 秒 (日本時間)

4×10213-1399

c180

name 名前Dmitry Domanov
date 日付March 13, 2022 05:37:30 UTC 2022 年 3 月 13 日 (日) 14 時 37 分 30 秒 (日本時間)
composite number 合成数
103931359978499690786033871248472876513194181434608791511708052089912573209371274417968065963981057628016421268194434772943145539416800215117237812674399111080289625087608334879061<180>
prime factors 素因数
2994435143237278555767085063310539429231386800154253<52>
34708168655187395606320732729436324500578190724471060509513492437642406618339845138734903269578547710191632557809165513745448937<128>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2755255065
Step 1 took 108455ms
Step 2 took 36645ms
********** Factor found in step 2: 2994435143237278555767085063310539429231386800154253
Found prime factor of 52 digits: 2994435143237278555767085063310539429231386800154253
Prime cofactor 34708168655187395606320732729436324500578190724471060509513492437642406618339845138734903269578547710191632557809165513745448937 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:49:23 UTC 2022 年 1 月 12 日 (水) 7 時 49 分 23 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 23:21:16 UTC 2022 年 2 月 6 日 (日) 8 時 21 分 16 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:05 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 5 秒 (日本時間)
5043e62000 / 70161000Dmitry DomanovFebruary 26, 2022 22:30:32 UTC 2022 年 2 月 27 日 (日) 7 時 30 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 12, 2022 22:26:39 UTC 2022 年 3 月 13 日 (日) 7 時 26 分 39 秒 (日本時間)

4×10214-1399

c213

composite cofactor 合成数の残り
103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 16:36:50 UTC 2022 年 1 月 12 日 (水) 1 時 36 分 50 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 23:20:55 UTC 2022 年 2 月 6 日 (日) 8 時 20 分 55 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:22:33 UTC 2022 年 3 月 3 日 (木) 3 時 22 分 33 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:39:01 UTC 2022 年 3 月 6 日 (日) 16 時 39 分 1 秒 (日本時間)

4×10215-1399

c156

composite cofactor 合成数の残り
345546722440225789146651040707988265328657618939165262299361416131497107876792427656739178584862128898447185617565585341804160328937712973284407162849050683<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:49:43 UTC 2022 年 1 月 12 日 (水) 7 時 49 分 43 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 22:58:10 UTC 2022 年 2 月 6 日 (日) 7 時 58 分 10 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:13 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 13 秒 (日本時間)
5043e62000 / 70161000Dmitry DomanovFebruary 26, 2022 22:30:33 UTC 2022 年 2 月 27 日 (日) 7 時 30 分 33 秒 (日本時間)
1000Dmitry DomanovMarch 12, 2022 22:25:40 UTC 2022 年 3 月 13 日 (日) 7 時 25 分 40 秒 (日本時間)

4×10216-1399

c203

composite cofactor 合成数の残り
63631882763202315869138727790911081559344653392457385597188856357510595819427165621931821286546742823057607177515392803605283078469854751255478272457966284604706212472721545358863885923231828872592086027<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 16:28:56 UTC 2022 年 1 月 12 日 (水) 1 時 28 分 56 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 19:04:25 UTC 2022 年 2 月 6 日 (日) 4 時 4 分 25 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:21:10 UTC 2022 年 3 月 3 日 (木) 3 時 21 分 10 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 5, 2022 21:38:57 UTC 2022 年 3 月 6 日 (日) 6 時 38 分 57 秒 (日本時間)

4×10217-1399

c207

composite cofactor 合成数の残り
194294858808383715329763964427768818505950886039670574485048559853051123390259894326507766547655255744516123333138590187711963974676374770998638545220884592111847728915304145190561257738631261865640731741311<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 14:58:05 UTC 2022 年 1 月 11 日 (火) 23 時 58 分 5 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 19:04:16 UTC 2022 年 2 月 6 日 (日) 4 時 4 分 16 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:21:01 UTC 2022 年 3 月 3 日 (木) 3 時 21 分 1 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 5, 2022 21:39:06 UTC 2022 年 3 月 6 日 (日) 6 時 39 分 6 秒 (日本時間)

4×10218-1399

c171

composite cofactor 合成数の残り
244374298621118467381595558594648573519369866497929838112117080396891333704423101125613283741549057095293330065202961072444422926133648872020454830302151001318520228015167<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:50:04 UTC 2022 年 1 月 12 日 (水) 7 時 50 分 4 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 22:57:53 UTC 2022 年 2 月 6 日 (日) 7 時 57 分 53 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:53:59 UTC 2022 年 2 月 19 日 (土) 15 時 53 分 59 秒 (日本時間)
5043e62000 / 70161000Dmitry DomanovFebruary 26, 2022 22:30:40 UTC 2022 年 2 月 27 日 (日) 7 時 30 分 40 秒 (日本時間)
1000Dmitry DomanovMarch 12, 2022 01:27:22 UTC 2022 年 3 月 12 日 (土) 10 時 27 分 22 秒 (日本時間)

4×10219-1399

c200

composite cofactor 合成数の残り
14123240478966399905463225228110593685176617823443442560777569805453818331753680000470386633311187839338475976052930001535306562438195503476435071448827596071415439457652559301158964219274109825411103<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:50:16 UTC 2022 年 1 月 12 日 (水) 7 時 50 分 16 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 19:04:06 UTC 2022 年 2 月 6 日 (日) 4 時 4 分 6 秒 (日本時間)
1000Dmitry DomanovFebruary 26, 2022 22:30:52 UTC 2022 年 2 月 27 日 (日) 7 時 30 分 52 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 4, 2022 18:15:21 UTC 2022 年 3 月 5 日 (土) 3 時 15 分 21 秒 (日本時間)

4×10220-1399

c190

name 名前Erik Branger
date 日付August 8, 2023 13:34:45 UTC 2023 年 8 月 8 日 (火) 22 時 34 分 45 秒 (日本時間)
composite number 合成数
5434026930898379909699403578600336645725433389789520392565438706067097107389933579649241128223749983793923057401214154742330006829117075977643599556019960681757861740494485765204921671991503<190>
prime factors 素因数
1060611283312455104537654342548806296414698153932317<52>
5123485876868161315275548138649674219876544347562323455433405765063952949564350409958711307371420898395121880828381027489277265960316874459<139>
factorization results 素因数分解の結果
Number: 88858_220
N = 5434026930898379909699403578600336645725433389789520392565438706067097107389933579649241128223749983793923057401214154742330006829117075977643599556019960681757861740494485765204921671991503 (190 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1060611283312455104537654342548806296414698153932317 (pp52)
r2=5123485876868161315275548138649674219876544347562323455433405765063952949564350409958711307371420898395121880828381027489277265960316874459 (pp139)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 36.18 hours.
Factorization parameters were as follows:
n: 5434026930898379909699403578600336645725433389789520392565438706067097107389933579649241128223749983793923057401214154742330006829117075977643599556019960681757861740494485765204921671991503
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30142050
Relations: 7382954 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.52 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6334565 x 6334790
Matrix solve time: 23.11 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 36.18 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:50:35 UTC 2022 年 1 月 12 日 (水) 7 時 50 分 35 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 19:03:53 UTC 2022 年 2 月 6 日 (日) 4 時 3 分 53 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:04 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 4 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:32:51 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 51 秒 (日本時間)

4×10221-1399

c201

name 名前Dmitry Domanov
date 日付January 11, 2022 18:55:21 UTC 2022 年 1 月 12 日 (水) 3 時 55 分 21 秒 (日本時間)
composite number 合成数
142418993057849489537499075995235603845146751082547014986571783301743534471615809196577152419228852299133893921847789332692326562238088291747942496484240284374539686671014216183837076310396631237252367<201>
prime factors 素因数
31795431056026980722827449050594965351<38>
4479228251596647789808214626549489518806596762151381537454198500474096720831663145528144368258669233597359626313686527258279086392179726132251611039619797073851417<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1965850746
Step 1 took 10132ms
Step 2 took 3286ms
********** Factor found in step 2: 31795431056026980722827449050594965351
Found prime factor of 38 digits: 31795431056026980722827449050594965351
Prime cofactor 4479228251596647789808214626549489518806596762151381537454198500474096720831663145528144368258669233597359626313686527258279086392179726132251611039619797073851417 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 14:58:25 UTC 2022 年 1 月 11 日 (火) 23 時 58 分 25 秒 (日本時間)

4×10224-1399

c187

composite cofactor 合成数の残り
9226445635189600460171459215225843644127986122685163257129206657838279991012220386394639082693983685734839073723196224826922133371731317038328108202940865807701511180313773186170439491891<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:50:47 UTC 2022 年 1 月 12 日 (水) 7 時 50 分 47 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 13:45:12 UTC 2022 年 2 月 5 日 (土) 22 時 45 分 12 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:12 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 12 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:31:31 UTC 2022 年 2 月 27 日 (日) 7 時 31 分 31 秒 (日本時間)

4×10225-1399

c223

composite cofactor 合成数の残り
1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 14:57:49 UTC 2022 年 1 月 11 日 (火) 23 時 57 分 49 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 13:44:59 UTC 2022 年 2 月 5 日 (土) 22 時 44 分 59 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:25:10 UTC 2022 年 3 月 4 日 (金) 5 時 25 分 10 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:33:17 UTC 2022 年 3 月 7 日 (月) 18 時 33 分 17 秒 (日本時間)

4×10226-1399

c168

composite cofactor 合成数の残り
387727680219834769337564391598139155332534964463768923487035724079763053251602153492689922075900501308037313937223517675700670108093087142045662930119073586390183471483<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:50:57 UTC 2022 年 1 月 12 日 (水) 7 時 50 分 57 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 13:44:37 UTC 2022 年 2 月 5 日 (土) 22 時 44 分 37 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:18 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 18 秒 (日本時間)
5043e62000 / 70161000Dmitry DomanovFebruary 26, 2022 22:31:38 UTC 2022 年 2 月 27 日 (日) 7 時 31 分 38 秒 (日本時間)
1000Dmitry DomanovMarch 12, 2022 22:26:10 UTC 2022 年 3 月 13 日 (日) 7 時 26 分 10 秒 (日本時間)

4×10227-1399

c216

composite cofactor 合成数の残り
384521508525545269874915496337116992488041139694268786910992990275558170352108942578532026280569594871999376852741257655316907635847312479156958578420939262606252466299188160575672688446168211842930836049242295147619<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 14:57:37 UTC 2022 年 1 月 11 日 (火) 23 時 57 分 37 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 13:43:28 UTC 2022 年 2 月 5 日 (土) 22 時 43 分 28 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:22:40 UTC 2022 年 3 月 3 日 (木) 3 時 22 分 40 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:39:43 UTC 2022 年 3 月 6 日 (日) 16 時 39 分 43 秒 (日本時間)

4×10228-1399

c153

name 名前NFS@Home + Caleb Birtwistle
date 日付December 15, 2023 22:30:18 UTC 2023 年 12 月 16 日 (土) 7 時 30 分 18 秒 (日本時間)
composite number 合成数
996071902160172995236683228039242353019810726492377349945248178921041431952313617896373380043029583954654855377670322397834587053699572243264799576413571<153>
prime factors 素因数
61138063161788311288133295115771456619143568776666399842631709218259<68>
16292173003981003416946377854545307892272188952878706782806875074606033552251375764369<86>
factorization results 素因数分解の結果
Msieve v. 1.53 (SVN 1005)
Thu Dec 14 20:21:23 2023
random seeds: 7aeffed8 15f4a61a
factoring 996071902160172995236683228039242353019810726492377349945248178921041431952313617896373380043029583954654855377670322397834587053699572243264799576413571 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -342887474705852394013488932059
R1: 222086534066456853216583
A0: 509144595490593387630457892850348
A1: -94378812688344556378835739018
A2: 37641048718323019766279
A3: -228830102120058797
A4: -1288255492762
A5: 1357020
skew 515482.57, size 7.942e-015, alpha -5.867, combined = 3.894e-012 rroots = 3

commencing relation filtering
setting target matrix density to 125.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
error -1 reading relation 45580478
read 50M relations
error -15 reading relation 50279815
read 60M relations
read 70M relations
error -15 reading relation 71432217
read 80M relations
error -5 reading relation 81121567
read 90M relations
error -9 reading relation 96626382
read 100M relations
error -15 reading relation 102159548
error -9 reading relation 105611173
read 110M relations
read 120M relations
read 130M relations
read 140M relations
read 150M relations
read 160M relations
read 170M relations
error -9 reading relation 176319290
skipped 5 relations with composite factors
found 23341949 hash collisions in 179128766 relations
added 121882 free relations
commencing duplicate removal, pass 2
found 19798388 duplicates and 159452260 unique relations
memory use: 788.8 MB
reading ideals above 55640064
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 2776.3 MB
commencing in-memory singleton removal
begin with 159452260 relations and 136768201 unique ideals
reduce to 90270529 relations and 59826853 ideals in 12 passes
max relations containing the same ideal: 29
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 3249.3 MB
keeping 65988352 ideals with weight <= 200, target excess is 477438
commencing in-memory singleton removal
begin with 90270529 relations and 65988352 unique ideals
reduce to 90270313 relations and 65988136 ideals in 4 passes
max relations containing the same ideal: 200
removing 8908117 relations and 6908117 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 81362196 relations and 65988136 unique ideals
reduce to 80703033 relations and 58402686 ideals in 7 passes
max relations containing the same ideal: 194
removing 6943614 relations and 4943614 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 73759419 relations and 58402686 unique ideals
reduce to 73307973 relations and 52996310 ideals in 7 passes
max relations containing the same ideal: 184
removing 6399830 relations and 4399830 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 66908143 relations and 52996310 unique ideals
reduce to 66512199 relations and 48190119 ideals in 7 passes
max relations containing the same ideal: 172
removing 6111358 relations and 4111358 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 60400841 relations and 48190119 unique ideals
reduce to 60026426 relations and 43693881 ideals in 7 passes
max relations containing the same ideal: 164
removing 5926445 relations and 3926445 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 54099981 relations and 43693881 unique ideals
reduce to 53728913 relations and 39384861 ideals in 7 passes
max relations containing the same ideal: 150
removing 5795377 relations and 3795377 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 47933536 relations and 39384861 unique ideals
reduce to 47560142 relations and 35203492 ideals in 6 passes
max relations containing the same ideal: 139
removing 5696051 relations and 3696051 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 41864091 relations and 35203492 unique ideals
reduce to 41471302 relations and 31100048 ideals in 7 passes
max relations containing the same ideal: 131
removing 5622971 relations and 3622971 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 35848331 relations and 31100048 unique ideals
reduce to 35426366 relations and 27037386 ideals in 7 passes
max relations containing the same ideal: 118
removing 5573324 relations and 3573324 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 29853042 relations and 27037386 unique ideals
reduce to 29382443 relations and 22970811 ideals in 6 passes
max relations containing the same ideal: 104
removing 5535542 relations and 3535542 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 23846901 relations and 22970811 unique ideals
reduce to 23303126 relations and 18860604 ideals in 8 passes
max relations containing the same ideal: 91
removing 5511216 relations and 3511216 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 17791910 relations and 18860604 unique ideals
reduce to 17122910 relations and 14632228 ideals in 7 passes
max relations containing the same ideal: 70
removing 5324800 relations and 3387947 ideals in 1936853 cliques
commencing in-memory singleton removal
begin with 11798110 relations and 14632228 unique ideals
reduce to 10948701 relations and 10312954 ideals in 10 passes
max relations containing the same ideal: 52
removing 428805 relations and 346887 ideals in 81918 cliques
commencing in-memory singleton removal
begin with 10519896 relations and 10312954 unique ideals
reduce to 10506274 relations and 9952329 ideals in 6 passes
max relations containing the same ideal: 52
relations with 0 large ideals: 1462
relations with 1 large ideals: 13450
relations with 2 large ideals: 168307
relations with 3 large ideals: 834649
relations with 4 large ideals: 2089944
relations with 5 large ideals: 2964105
relations with 6 large ideals: 2553663
relations with 7+ large ideals: 1880694
commencing 2-way merge
reduce to 6717686 relation sets and 6163741 unique ideals
commencing full merge
memory use: 816.0 MB
found 3035853 cycles, need 2995941
weight of 2995941 cycles is about 375359245 (125.29/cycle)
distribution of cycle lengths:
1 relations: 61868
2 relations: 143819
3 relations: 189130
4 relations: 210086
5 relations: 226409
6 relations: 230211
7 relations: 228653
8 relations: 220397
9 relations: 206636
10+ relations: 1278732
heaviest cycle: 28 relations
commencing cycle optimization
start with 27922778 relations
pruned 1424901 relations
memory use: 719.1 MB
distribution of cycle lengths:
1 relations: 61868
2 relations: 148052
3 relations: 198315
4 relations: 220576
5 relations: 239617
6 relations: 244142
7 relations: 243476
8 relations: 233273
9 relations: 218108
10+ relations: 1188514
heaviest cycle: 28 relations
RelProcTime: 4430

commencing linear algebra
read 2995941 cycles
cycles contain 10222982 unique relations
read 10222982 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1393.2 MB
read 2995941 cycles
matrix is 2995763 x 2995941 (1455.5 MB) with weight 439959390 (146.85/col)
sparse part has weight 345593173 (115.35/col)
filtering completed in 2 passes
matrix is 2995646 x 2995824 (1455.5 MB) with weight 439952786 (146.86/col)
sparse part has weight 345590403 (115.36/col)
matrix starts at (0, 0)
matrix is 2995646 x 2995824 (1455.5 MB) with weight 439952786 (146.86/col)
sparse part has weight 345590403 (115.36/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2995598 x 2995824 (1411.0 MB) with weight 378556595 (126.36/col)
sparse part has weight 339914722 (113.46/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 1165.4 MB
linear algebra at 0.1%, ETA 4h54m2995824 dimensions (0.1%, ETA 4h54m)
checkpointing every 610000 dimensions824 dimensions (0.1%, ETA 4h55m)
linear algebra completed 2995479 of 2995824 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 47371 iterations (dim = 2995596)
recovered 30 nontrivial dependencies
BLanczosTime: 18287

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 1496456 cycles
cycles contain 5108532 unique relations
read 5108532 relations
multiplying 5108532 relations
multiply complete, coefficients have about 276.54 million bits
initial square root is modulo 91703
GCD is N, no factor found
reading relations for dependency 2
read 1497285 cycles
cycles contain 5112276 unique relations
read 5112276 relations
multiplying 5112276 relations
multiply complete, coefficients have about 276.75 million bits
initial square root is modulo 92551
sqrtTime: 1852
p68 factor: 61138063161788311288133295115771456619143568776666399842631709218259
p86 factor: 16292173003981003416946377854545307892272188952878706782806875074606033552251375764369
elapsed time 06:49:30

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 12:22:19 UTC 2021 年 12 月 31 日 (金) 21 時 22 分 19 秒 (日本時間)
4511e64480Ignacio SantosJanuary 6, 2022 21:00:46 UTC 2022 年 1 月 7 日 (金) 6 時 0 分 46 秒 (日本時間)
5043e665001000Dmitry DomanovFebruary 26, 2022 22:31:52 UTC 2022 年 2 月 27 日 (日) 7 時 31 分 52 秒 (日本時間)
5500yoyo@HomeMay 10, 2022 01:32:51 UTC 2022 年 5 月 10 日 (火) 10 時 32 分 51 秒 (日本時間)

4×10229-1399

c165

name 名前Dmitry Domanov
date 日付January 12, 2022 02:02:22 UTC 2022 年 1 月 12 日 (水) 11 時 2 分 22 秒 (日本時間)
composite number 合成数
246318307018643173634069461330874182877152759077144449998913127652013469831807685869962917909146263860587514142733073622064772985617507495736623908250507818759182261<165>
prime factors 素因数
18984800929721052571262171517650457271<38>
12974500387466658422122904243884952023983580533083563387154226909140532147326598913916347951340421245856777647248231989590248691<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1412962058
Step 1 took 13743ms
********** Factor found in step 1: 18984800929721052571262171517650457271
Found prime factor of 38 digits: 18984800929721052571262171517650457271
Prime cofactor 12974500387466658422122904243884952023983580533083563387154226909140532147326598913916347951340421245856777647248231989590248691 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 11, 2022 22:51:19 UTC 2022 年 1 月 12 日 (水) 7 時 51 分 19 秒 (日本時間)

4×10232-1399

c226

composite cofactor 合成数の残り
9918575930542196473599106534680176758941658192483356009677554535430021099290648245887448463699375898406010458642389960219071586577885493512383466031481064074744404497379884185748147024042876020032547806916074217728115468093553<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 14:03:19 UTC 2022 年 1 月 11 日 (火) 23 時 3 分 19 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 13:43:44 UTC 2022 年 2 月 5 日 (土) 22 時 43 分 44 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:29:41 UTC 2022 年 3 月 4 日 (金) 5 時 29 分 41 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:33:06 UTC 2022 年 3 月 7 日 (月) 18 時 33 分 6 秒 (日本時間)

4×10238-1399

c196

name 名前Dmitry Domanov
date 日付February 6, 2022 16:43:21 UTC 2022 年 2 月 7 日 (月) 1 時 43 分 21 秒 (日本時間)
composite number 合成数
1161879533840336653075143946843296904478442297602220059180123947136572270028011078317336009391544356739003481779463504931015137621936244634001099958629712493427381369857581361039855901540383349781<196>
prime factors 素因数
16064899506258721755400602451425218621<38>
1387415374225401740915917255837436085836227<43>
52128662962531855917920335263763062491416070876952469357818088913171799119869091124640239587376289450982250472306643<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2692529493
Step 1 took 49296ms
Step 2 took 15924ms
********** Factor found in step 2: 1387415374225401740915917255837436085836227
Found probable prime factor of 43 digits: 1387415374225401740915917255837436085836227
Composite cofactor 837441731888705327833414181704982348234825645274962538530423930900349776139058359411330668248998344628377211379946402139065800280263933450692822425599303 has 153 digits

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=771017067
Step 1 took 32252ms
Step 2 took 12184ms
********** Factor found in step 2: 16064899506258721755400602451425218621
Found probable prime factor of 38 digits: 16064899506258721755400602451425218621
Probable prime cofactor 52128662962531855917920335263763062491416070876952469357818088913171799119869091124640239587376289450982250472306643 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:51:56 UTC 2022 年 1 月 12 日 (水) 7 時 51 分 56 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 5, 2022 13:43:12 UTC 2022 年 2 月 5 日 (土) 22 時 43 分 12 秒 (日本時間)

4×10241-1399

c180

composite cofactor 合成数の残り
116121510351443363348478166883352604871174879601258613631289841945633800344175697114223658864936345830067314856559647117741729974079639810265068364117456018447106135646762416858987<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:52:46 UTC 2022 年 1 月 12 日 (水) 7 時 52 分 46 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 07:10:31 UTC 2022 年 2 月 5 日 (土) 16 時 10 分 31 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:56:19 UTC 2022 年 2 月 19 日 (土) 15 時 56 分 19 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:32:03 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 3 秒 (日本時間)

4×10242-1399

c200

composite cofactor 合成数の残り
51025291128613762796925956769256107207824188221247988208790548621361260040073105527878083884596783681821631730754086295208671580553116536143380835531202770548116951165379951778449596884731094669968257<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:53:01 UTC 2022 年 1 月 12 日 (水) 7 時 53 分 1 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 07:10:23 UTC 2022 年 2 月 5 日 (土) 16 時 10 分 23 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:42 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 42 秒 (日本時間)
5043e61000 / 7016100Dmitry DomanovMarch 4, 2022 18:16:45 UTC 2022 年 3 月 5 日 (土) 3 時 16 分 45 秒 (日本時間)
900Dmitry DomanovMarch 4, 2022 18:16:59 UTC 2022 年 3 月 5 日 (土) 3 時 16 分 59 秒 (日本時間)

4×10243-1399

c148

composite cofactor 合成数の残り
4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 22:06:59 UTC 2021 年 12 月 31 日 (金) 7 時 6 分 59 秒 (日本時間)
4511e64480Ignacio SantosJanuary 5, 2022 11:12:18 UTC 2022 年 1 月 5 日 (水) 20 時 12 分 18 秒 (日本時間)
5043e66454Ignacio SantosJanuary 11, 2022 16:42:48 UTC 2022 年 1 月 12 日 (水) 1 時 42 分 48 秒 (日本時間)

4×10246-1399

c193

composite cofactor 合成数の残り
5804344919453551934857316687751543080589760066406541989980232191884306873466871392815850168837617985976255696895615376698714273960783261780116489448774251319991419110264831719697601615101067163<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:53:23 UTC 2022 年 1 月 12 日 (水) 7 時 53 分 23 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 5, 2022 07:09:44 UTC 2022 年 2 月 5 日 (土) 16 時 9 分 44 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:54:54 UTC 2022 年 2 月 19 日 (土) 15 時 54 分 54 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:32:22 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 22 秒 (日本時間)

4×10247-1399

c209

name 名前Dmitry Domanov
date 日付January 11, 2022 11:22:44 UTC 2022 年 1 月 11 日 (火) 20 時 22 分 44 秒 (日本時間)
composite number 合成数
13628367613184519527530133726432736487523211651861007852901162351955602480256632895895522134155624309221761427780408673032555836623522205374383787998088445199470502108968302832972561666101535952364363218677939<209>
prime factors 素因数
794293657458278990702893144684888487424493<42>
composite cofactor 合成数の残り
17157845193923586310877900779122470299430443514167836145706734826810281465614226375813166137221595537511334397431845502472806516656257530944141655616313993717388712223<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:328566265
Step 1 took 8645ms
Step 2 took 4071ms
********** Factor found in step 2: 794293657458278990702893144684888487424493
Found prime factor of 42 digits: 794293657458278990702893144684888487424493
Composite cofactor 17157845193923586310877900779122470299430443514167836145706734826810281465614226375813166137221595537511334397431845502472806516656257530944141655616313993717388712223 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 11, 2022 10:47:39 UTC 2022 年 1 月 11 日 (火) 19 時 47 分 39 秒 (日本時間)
2350Ignacio SantosJanuary 12, 2022 15:05:20 UTC 2022 年 1 月 13 日 (木) 0 時 5 分 20 秒 (日本時間)
4511e64480Ignacio SantosJanuary 12, 2022 22:22:32 UTC 2022 年 1 月 13 日 (木) 7 時 22 分 32 秒 (日本時間)
5043e61000 / 6415Dmitry DomanovFebruary 26, 2022 22:32:30 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 30 秒 (日本時間)

4×10248-1399

c238

composite cofactor 合成数の残り
1004423165580781870785632158868871799862308842693394725963079870950019132704825065931519359776441217820611914121822968810777794451003952843554628399791452649673053311631760491698283306525927273582751899164669290477674993146146459415981347<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:47:11 UTC 2022 年 1 月 11 日 (火) 19 時 47 分 11 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 4, 2022 05:39:18 UTC 2022 年 2 月 4 日 (金) 14 時 39 分 18 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:26:56 UTC 2022 年 3 月 4 日 (金) 5 時 26 分 56 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:33:14 UTC 2022 年 3 月 7 日 (月) 18 時 33 分 14 秒 (日本時間)

4×10249-1399

c195

name 名前Dmitry Domanov
date 日付February 28, 2022 05:29:13 UTC 2022 年 2 月 28 日 (月) 14 時 29 分 13 秒 (日本時間)
composite number 合成数
611003687740334560789304465113638611906780537441230757868103501085916052050846156990280878749338819455831062222835315598027233839927055494281008557344058087034995767038529346564094337185741769643<195>
prime factors 素因数
528665739159551471362496244651214146554443707790191461<54>
composite cofactor 合成数の残り
1155746708140535418700776678973293301178443501733003425806622654389663024901320091879556999786578650916598726183726786949510511204752805171663<142>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4208114969
Step 1 took 190356ms
Step 2 took 48028ms
********** Factor found in step 2: 528665739159551471362496244651214146554443707790191461
Found probable prime factor of 54 digits: 528665739159551471362496244651214146554443707790191461
Composite cofactor 1155746708140535418700776678973293301178443501733003425806622654389663024901320091879556999786578650916598726183726786949510511204752805171663 has 142 digits

c142

name 名前Eric Jeancolas
date 日付March 13, 2022 21:38:00 UTC 2022 年 3 月 14 日 (月) 6 時 38 分 0 秒 (日本時間)
composite number 合成数
1155746708140535418700776678973293301178443501733003425806622654389663024901320091879556999786578650916598726183726786949510511204752805171663<142>
prime factors 素因数
2273779485379738261851717748813891512016139752309657777266664267<64>
508293225254214584855284499168853532616157048653129814038031368495769625195789<78>
factorization results 素因数分解の結果
11557467081405354187007766789732933011784435017330034258066226543896630249013200918795569997865786509165987261837267869495105112047528051=2273779485379738261851717748813891512016139752309657777266664267*508293225254214584855284499168853532616157048653129814038031368495769625195789

cado polynomial
n: 11557467081405354187007766789732933011784435017330034258066226543896630249013200918795569997865786509165987261837267869495105112047528051
skew: 180773.924
c0: 86286199708271168430895876771240
c1: 895936894085351374383988894
c2: -43451676893180146952677
c3: -50907600029042497
c4: 690752676474
c5: 476280
Y0: -2125022189708792915205375841
Y1: 11709362082282428093
# MurphyE = 2.293e-07,
# f(x) = 476280*x^5+690752676474*x^4-50907600029042497*x^3-43451676893180146952677*x^2+895936894085351374383988894*x+86286199708271168430895876771240
# g(x) = 11709362082282428093*x-2125022189708792915205375841

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 508293225254214584855284499168853532616157048653129814038031368495769625195789 2273779485379738261851717748813891512016139752309657777266664267
Info:Square Root: Total cpu/real time for sqrt: 908.58/268.623
Info:Generate Free Relations: Total cpu/real time for freerel: 492.79/124.176
Info:Filtering - Singleton removal: Total cpu/real time for purge: 343.62/394.438
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33918380
Info:Lattice Sieving: Average J: 3793.77 for 1063563 special-q, max bucket fill -bkmult 1.0,1s:1.136130
Info:Lattice Sieving: Total time: 454945s
Info:Generate Factor Base: Total cpu/real time for makefb: 11.8/3.14017
Info:Linear Algebra: Total cpu/real time for bwc: 71177.1/18304.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 45663.17, WCT time 11686.33, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64512 iterations)
Info:Linear Algebra: Lingen CPU time 415.84, WCT time 105.89
Info:Linear Algebra: Mksol: CPU time 24693.39,  WCT time 6339.15, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32256 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 153.16/175.179
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 174.79999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11347.3
Info:Polynomial Selection (root optimized): Rootsieve time: 11344.5
Info:Filtering - Merging: Merged matrix has 2062513 rows and total weight 353012534 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 553.67/155.377
Info:Filtering - Merging: Total cpu/real time for replay: 87.23/74.4379
Info:Quadratic Characters: Total cpu/real time for characters: 80.96/34.1871
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66291/42.130/50.775/56.260/0.922
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54037/41.450/45.507/51.510/1.205
Info:Polynomial Selection (size optimized): Total time: 27931.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 549.94/510.867
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 437.5s
Info:Square Root: Total cpu/real time for sqrt: 908.58/268.623
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 984340/138878
Info:root: Cleaning up computation data in /tmp/cado.4hosnwwb
508293225254214584855284499168853532616157048653129814038031368495769625195789 2273779485379738261851717748813891512016139752309657777266664267
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:53:31 UTC 2022 年 1 月 12 日 (水) 7 時 53 分 31 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 4, 2022 13:51:28 UTC 2022 年 2 月 4 日 (金) 22 時 51 分 28 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:55:17 UTC 2022 年 2 月 19 日 (土) 15 時 55 分 17 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:32:38 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 38 秒 (日本時間)

4×10250-1399

c189

name 名前Dmitry Domanov
date 日付February 20, 2022 08:17:18 UTC 2022 年 2 月 20 日 (日) 17 時 17 分 18 秒 (日本時間)
composite number 合成数
818089756604426672018801243754842032804672928700263948581449262051404510987732757188678136530866676509953010882342507380116760328927252843601434796947024413430406205721585460893197643254693<189>
prime factors 素因数
25797115192008698328423178032597401778119<41>
composite cofactor 合成数の残り
31712451199111226060503741006623661080712908874419669142176148830634202664222251861728077350650129641163525056165769956767498051947717412244565104947<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1708674103
Step 1 took 81417ms
Step 2 took 32609ms
********** Factor found in step 2: 25797115192008698328423178032597401778119
Found prime factor of 41 digits: 25797115192008698328423178032597401778119
Composite cofactor 31712451199111226060503741006623661080712908874419669142176148830634202664222251861728077350650129641163525056165769956767498051947717412244565104947 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:54:06 UTC 2022 年 1 月 12 日 (水) 7 時 54 分 6 秒 (日本時間)
4511e666801200Dmitry DomanovFebruary 4, 2022 13:51:18 UTC 2022 年 2 月 4 日 (金) 22 時 51 分 18 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:55:18 UTC 2022 年 2 月 19 日 (土) 15 時 55 分 18 秒 (日本時間)
4480Ignacio SantosFebruary 20, 2022 17:19:33 UTC 2022 年 2 月 21 日 (月) 2 時 19 分 33 秒 (日本時間)
5043e674541000Dmitry DomanovFebruary 26, 2022 22:32:48 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 48 秒 (日本時間)
6454Ignacio SantosNovember 16, 2023 07:11:42 UTC 2023 年 11 月 16 日 (木) 16 時 11 分 42 秒 (日本時間)

4×10251-1399

c235

name 名前Dmitry Domanov
date 日付January 11, 2022 14:25:58 UTC 2022 年 1 月 11 日 (火) 23 時 25 分 58 秒 (日本時間)
composite number 合成数
6658479154196635506632252716719904826714178688956158484394885768059893290604980196078139278812575788172900915493870431330510852644751790665392003308751845481718474537068377341519306186061859838625515721961745997969452371299255564166111<235>
prime factors 素因数
1680960186272308941655506871728572647<37>
composite cofactor 合成数の残り
3961116514581141935965229221997202064781455948805241344404867813780710616892487333556508079453643753512323225549346973880961529289726988252815401625777975673524960621091936700037600409736120782231113<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:892261472
Step 1 took 12600ms
Step 2 took 4948ms
********** Factor found in step 2: 1680960186272308941655506871728572647
Found prime factor of 37 digits: 1680960186272308941655506871728572647
Composite cofactor 3961116514581141935965229221997202064781455948805241344404867813780710616892487333556508079453643753512323225549346973880961529289726988252815401625777975673524960621091936700037600409736120782231113 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:37:50 UTC 2022 年 1 月 11 日 (火) 19 時 37 分 50 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 10:33:05 UTC 2022 年 2 月 3 日 (木) 19 時 33 分 5 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:55:18 UTC 2022 年 2 月 19 日 (土) 15 時 55 分 18 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:32:58 UTC 2022 年 2 月 27 日 (日) 7 時 32 分 58 秒 (日本時間)

4×10252-1399

c160

name 名前Dmitry Domanov
date 日付March 1, 2022 18:48:41 UTC 2022 年 3 月 2 日 (水) 3 時 48 分 41 秒 (日本時間)
composite number 合成数
6383418962741601507862547026781212641526905385903564619588496627869736496594252214843058304621830555049359962621574120023596359757784056403917211386211136476233<160>
prime factors 素因数
5414360506443648942829319931896152232804274973<46>
1178979300536909720795325253868976124821908991492222313723781601872748672283342341520070903425227936588955739566621<115>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2072473538
Step 1 took 114359ms
Step 2 took 39608ms
********** Factor found in step 2: 5414360506443648942829319931896152232804274973
Found prime factor of 46 digits: 5414360506443648942829319931896152232804274973
Prime cofactor 1178979300536909720795325253868976124821908991492222313723781601872748672283342341520070903425227936588955739566621 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 12:30:46 UTC 2021 年 12 月 31 日 (金) 21 時 30 分 46 秒 (日本時間)
4511e64480Ignacio SantosJanuary 6, 2022 23:07:33 UTC 2022 年 1 月 7 日 (金) 8 時 7 分 33 秒 (日本時間)
5043e61000 / 6453Dmitry DomanovFebruary 26, 2022 22:33:07 UTC 2022 年 2 月 27 日 (日) 7 時 33 分 7 秒 (日本時間)

4×10253-1399

c231

composite cofactor 合成数の残り
307144272136947359629206336979940911728440105472196997520885687977199315117159940405787226090449677196192747949028601069371407895795283841802248826336116112334707726623895157068821960861839352219178887470149314931762971699227757931<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:37:37 UTC 2022 年 1 月 11 日 (火) 19 時 37 分 37 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 10:31:11 UTC 2022 年 2 月 3 日 (木) 19 時 31 分 11 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:26:56 UTC 2022 年 3 月 4 日 (金) 5 時 26 分 56 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:32:42 UTC 2022 年 3 月 7 日 (月) 18 時 32 分 42 秒 (日本時間)

4×10254-1399

c213

composite cofactor 合成数の残り
619993616598023404424610673807007548552088701184112750903389787509630461417913492379037619505685476196335261817841757223364460521390548055128229178139080917873054322661197495228277353713636568531559490034727564429<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:38:12 UTC 2022 年 1 月 11 日 (火) 19 時 38 分 12 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 10:33:13 UTC 2022 年 2 月 3 日 (木) 19 時 33 分 13 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:22:53 UTC 2022 年 3 月 3 日 (木) 3 時 22 分 53 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:39:44 UTC 2022 年 3 月 6 日 (日) 16 時 39 分 44 秒 (日本時間)

4×10255-1399

c216

composite cofactor 合成数の残り
369035228129639399263405586484852091549511495118823880301331319878218050524586310021851205871056813899485536119173744271452444670145848590696172756681361057009274502957147563235380767927674210496541186275436599829069<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:38:21 UTC 2022 年 1 月 11 日 (火) 19 時 38 分 21 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 10:33:22 UTC 2022 年 2 月 3 日 (木) 19 時 33 分 22 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:23:02 UTC 2022 年 3 月 3 日 (木) 3 時 23 分 2 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:40:15 UTC 2022 年 3 月 6 日 (日) 16 時 40 分 15 秒 (日本時間)

4×10258-1399

c183

composite cofactor 合成数の残り
486723886206213761802609947559012296271226498614079088609722556102330525924545845267422030948848898248024676728493233782179670406213559256246689375137553634703790686751586763965510761<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 22:54:18 UTC 2022 年 1 月 12 日 (水) 7 時 54 分 18 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 10:33:32 UTC 2022 年 2 月 3 日 (木) 19 時 33 分 32 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:56:19 UTC 2022 年 2 月 19 日 (土) 15 時 56 分 19 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:33:15 UTC 2022 年 2 月 27 日 (日) 7 時 33 分 15 秒 (日本時間)

4×10259-1399

c251

composite cofactor 合成数の残り
49637687753948969992477743475281372753187447201089566108520526391943483610824946738854110677293852390117146792103188403781379694397608493928657431626979616602445984674594721216311377532961723514036220836677998293081530476692096935171972356588030381129<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 06:26:23 UTC 2021 年 12 月 30 日 (木) 15 時 26 分 23 秒 (日本時間)
4511e636001800Dmitry DomanovFebruary 3, 2022 15:18:29 UTC 2022 年 2 月 4 日 (金) 0 時 18 分 29 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:33:03 UTC 2022 年 2 月 20 日 (日) 18 時 33 分 3 秒 (日本時間)
5043e61000 / 6702Dmitry DomanovMarch 10, 2022 23:43:48 UTC 2022 年 3 月 11 日 (金) 8 時 43 分 48 秒 (日本時間)

4×10261-1399

c229

composite cofactor 合成数の残り
1545812161959641601262302283773808152962143383073471545388504866693996165444371832580888702271084720346916826949646229233991560198103318624396209565090849855043705970919499495550911948596989693928629205452518038014954054120032853<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:37:15 UTC 2022 年 1 月 11 日 (火) 19 時 37 分 15 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 10:30:53 UTC 2022 年 2 月 3 日 (木) 19 時 30 分 53 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:27:13 UTC 2022 年 3 月 4 日 (金) 5 時 27 分 13 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:32:42 UTC 2022 年 3 月 7 日 (月) 18 時 32 分 42 秒 (日本時間)

4×10262-1399

c251

name 名前Dmitry Domanov
date 日付December 30, 2021 15:43:38 UTC 2021 年 12 月 31 日 (金) 0 時 43 分 38 秒 (日本時間)
composite number 合成数
21534772874533547262068920822150725592835327525321063618095138031960883980572732136991095231537801540996341599152917197707878271946230682659081955677267466322910301550686904599524819989796548245538319980952957552969615142777726166327083849876580776503<251>
prime factors 素因数
14408152080389805004517040556438600819<38>
composite cofactor 合成数の残り
1494624206794944884173372715597258175431377249825091050631647904751647134675022168507460101828046197010194853583725899594922476649479763296576435998441906720674441731512414300397883039829775204525516558059221089837<214>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3984739428
Step 1 took 24796ms
********** Factor found in step 1: 14408152080389805004517040556438600819
Found prime factor of 38 digits: 14408152080389805004517040556438600819
Composite cofactor 14946242067949448841733727155972581754313772498250910506316479047516471346750221685074601018280461970101948535837258995949224766494797632965764359984419067206744417315124143003978830398
29775204525516558059221089837 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 12:45:26 UTC 2021 年 12 月 30 日 (木) 21 時 45 分 26 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 05:02:34 UTC 2022 年 2 月 3 日 (木) 14 時 2 分 34 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:23:11 UTC 2022 年 3 月 3 日 (木) 3 時 23 分 11 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:40:15 UTC 2022 年 3 月 6 日 (日) 16 時 40 分 15 秒 (日本時間)

4×10263-1399

c214

name 名前Dmitry Domanov
date 日付March 9, 2022 05:42:45 UTC 2022 年 3 月 9 日 (水) 14 時 42 分 45 秒 (日本時間)
composite number 合成数
3979034358930438577193785601662271234957441389254057430105028668679976923338121292713833488592264462505392569789916466684218950327305455245964119229836057590589792311916915083308396448517274688334205787219610938789<214>
prime factors 素因数
34697782490133729358643937536433930886732621<44>
114676906515909827182565354741191031387681341864512525020896779619861209477683363160767654997428261991099882039830243463102194224697071545731893448354436468121233087201209<171>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2357072171
Step 1 took 168207ms
Step 2 took 53773ms
********** Factor found in step 2: 34697782490133729358643937536433930886732621
Found prime factor of 44 digits: 34697782490133729358643937536433930886732621
Prime cofactor 114676906515909827182565354741191031387681341864512525020896779619861209477683363160767654997428261991099882039830243463102194224697071545731893448354436468121233087201209 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:36:59 UTC 2022 年 1 月 11 日 (火) 19 時 36 分 59 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 3, 2022 05:02:16 UTC 2022 年 2 月 3 日 (木) 14 時 2 分 16 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:23:18 UTC 2022 年 3 月 3 日 (木) 3 時 23 分 18 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:40:03 UTC 2022 年 3 月 6 日 (日) 16 時 40 分 3 秒 (日本時間)

4×10264-1399

c264

name 名前Dmitry Domanov
date 日付December 30, 2021 09:59:09 UTC 2021 年 12 月 30 日 (木) 18 時 59 分 9 秒 (日本時間)
composite number 合成数
148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148143<264>
prime factors 素因数
6006178468175247569251496086445857<34>
composite cofactor 合成数の残り
24665958384875868609960208362768976529016879978100575421121261086938044079327576038212932666040017209410243619440967644406905232494713425369697463778856155184583268782048600511555723496483671027266168082816190009765200921239841999<230>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:650718429
Step 1 took 13769ms
Step 2 took 5602ms
********** Factor found in step 2: 6006178468175247569251496086445857
Found prime factor of 34 digits: 6006178468175247569251496086445857
Composite cofactor 24665958384875868609960208362768976529016879978100575421121261086938044079327576038212932666040017209410243619440967644406905232494713425369697463778856155184583268782048600511555723496483671027266168082816190009765200921239841999 has 230 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 06:23:37 UTC 2021 年 12 月 30 日 (木) 15 時 23 分 37 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 4, 2022 05:38:51 UTC 2022 年 2 月 4 日 (金) 14 時 38 分 51 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:27:15 UTC 2022 年 3 月 4 日 (金) 5 時 27 分 15 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:32:41 UTC 2022 年 3 月 7 日 (月) 18 時 32 分 41 秒 (日本時間)

4×10265-1399

c204

name 名前Dmitry Domanov
date 日付February 4, 2022 05:42:10 UTC 2022 年 2 月 4 日 (金) 14 時 42 分 10 秒 (日本時間)
composite number 合成数
120120599979153751143444995233972039721641041570546973892787339751940650756584165502299489934594588769231307275168091488158767811218340276673578762688053449454252801572165145627531723197953064826275111389<204>
prime factors 素因数
36547613438250010150714537122459820619064329<44>
3286687930584214411011796410395746607943554047081967238166395222713477137959789834772253920447448648944478761503085022846946644176724344719439912372935933529141<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1538709088
Step 1 took 73004ms
Step 2 took 24220ms
********** Factor found in step 2: 36547613438250010150714537122459820619064329
Found probable prime factor of 44 digits: 36547613438250010150714537122459820619064329
Probable prime cofactor 3286687930584214411011796410395746607943554047081967238166395222713477137959789834772253920447448648944478761503085022846946644176724344719439912372935933529141 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:36:31 UTC 2022 年 1 月 11 日 (火) 19 時 36 分 31 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 3, 2022 05:01:57 UTC 2022 年 2 月 3 日 (木) 14 時 1 分 57 秒 (日本時間)

4×10266-1399

c240

composite cofactor 合成数の残り
902313011928187194399438666806344594225021985924496173677624327261034560436586092332407691073868644635941906885489935864933987103831295461416252964590948337375754706605062025512453275672743021599102279806891850810306349806804804851986336321<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:36:02 UTC 2022 年 1 月 11 日 (火) 19 時 36 分 2 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 2, 2022 16:37:23 UTC 2022 年 2 月 3 日 (木) 1 時 37 分 23 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:27:21 UTC 2022 年 3 月 4 日 (金) 5 時 27 分 21 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:33:13 UTC 2022 年 3 月 7 日 (月) 18 時 33 分 13 秒 (日本時間)

4×10267-1399

c215

name 名前Dmitry Domanov
date 日付March 3, 2022 09:48:10 UTC 2022 年 3 月 3 日 (木) 18 時 48 分 10 秒 (日本時間)
composite number 合成数
14026989262984786490067048476545225938379891673434859564047799491100930678724607435057192292748595537108619305185443622581025860485750674682188056642364387745830520436471569418897436462200807665968940365107405050843<215>
prime factors 素因数
2204711647506745558289488582473150645713<40>
6362278386313042495212844150805882640523802143143827184830078220981358818523942378162909779701120780746471533028954791675564596525864385143041103486434169825586177921631596011<175>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:461760067
Step 1 took 34546ms
Step 2 took 19419ms
********** Factor found in step 2: 2204711647506745558289488582473150645713
Found prime factor of 40 digits: 2204711647506745558289488582473150645713
Prime cofactor 6362278386313042495212844150805882640523802143143827184830078220981358818523942378162909779701120780746471533028954791675564596525864385143041103486434169825586177921631596011 has 175 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 10:11:37 UTC 2022 年 1 月 11 日 (火) 19 時 11 分 37 秒 (日本時間)
4511e62200 / 42131200Dmitry DomanovFebruary 2, 2022 06:32:41 UTC 2022 年 2 月 2 日 (水) 15 時 32 分 41 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:23:28 UTC 2022 年 3 月 3 日 (木) 3 時 23 分 28 秒 (日本時間)

4×10268-1399

c235

composite cofactor 合成数の残り
2066484233607655215403890858476901325321715070612570421550541092252909285106689271497963478144844362164764071412996460531633042343609187595896163717223586752022189439504162632919395114070340523382664252604091699296216010754245155971479<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 06:47:30 UTC 2022 年 1 月 11 日 (火) 15 時 47 分 30 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 2, 2022 16:37:38 UTC 2022 年 2 月 3 日 (木) 1 時 37 分 38 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:27:30 UTC 2022 年 3 月 4 日 (金) 5 時 27 分 30 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:33:45 UTC 2022 年 3 月 7 日 (月) 18 時 33 分 45 秒 (日本時間)

4×10269-1399

c260

composite cofactor 合成数の残り
22869349116096863743595412980552601711831693851220975204697727976835939985261748480462721139082651464636410422992618429712389718090408770211379240159130303159909349081230254081194134517067035081681197281362374759126229179753783911777674378932659405769186815991<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 03:00:00 UTC 2021 年 12 月 30 日 (木) 12 時 0 分 0 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 27, 2022 23:11:16 UTC 2022 年 1 月 28 日 (金) 8 時 11 分 16 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:32:39 UTC 2022 年 2 月 20 日 (日) 18 時 32 分 39 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovMarch 10, 2022 23:43:20 UTC 2022 年 3 月 11 日 (金) 8 時 43 分 20 秒 (日本時間)

4×10270-1399

c251

composite cofactor 合成数の残り
27608467331473213601998478428010609745377112444852576529077730281504207373978107314721145930349359047770901709680211597699240201976869366449476876427885327407202714814991784355142753534126355909719682673934088395857812241105157436843104794075560075569<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 03:00:29 UTC 2021 年 12 月 30 日 (木) 12 時 0 分 29 秒 (日本時間)
4511e636001800Dmitry DomanovFebruary 3, 2022 15:18:56 UTC 2022 年 2 月 4 日 (金) 0 時 18 分 56 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:32:09 UTC 2022 年 2 月 20 日 (日) 18 時 32 分 9 秒 (日本時間)
5043e61000 / 6702Dmitry DomanovMarch 10, 2022 23:43:39 UTC 2022 年 3 月 11 日 (金) 8 時 43 分 39 秒 (日本時間)

4×10273-1399

c223

composite cofactor 合成数の残り
4166224096585443859793731954445967861043493692111165452426299373849828248371383970778064934135921356939308204611306930108979933802988480120459719434783232493361867520488500973927176131936870870193613098676665135107894126529<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 06:46:37 UTC 2022 年 1 月 11 日 (火) 15 時 46 分 37 秒 (日本時間)
4511e622001200Dmitry DomanovFebruary 2, 2022 06:32:24 UTC 2022 年 2 月 2 日 (水) 15 時 32 分 24 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:27:42 UTC 2022 年 3 月 4 日 (金) 5 時 27 分 42 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:31:55 UTC 2022 年 3 月 7 日 (月) 18 時 31 分 55 秒 (日本時間)

4×10274-1399

c259

composite cofactor 合成数の残り
1808429897547623698861513754576116143915450375831622629298999454197463094495026707132461694541172836228199536375069034548266525037256743681837446281480272467962070632675952238332648243762302531836483232013683549405490885373479452073180353809909488149477677477<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 01:15:24 UTC 2021 年 12 月 30 日 (木) 10 時 15 分 24 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovJanuary 27, 2022 17:36:03 UTC 2022 年 1 月 28 日 (金) 2 時 36 分 3 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:31:54 UTC 2022 年 2 月 20 日 (日) 18 時 31 分 54 秒 (日本時間)

4×10275-1399

c263

composite cofactor 合成数の残り
38771130689554334375520496557195464764070420961468890096110181487085445005810808145150930770097366914550701948392503714283684014325460975759027920253397550101815441702258971855286373680665574496417474578874446688680867392740298348054150383372724887696345142913861<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 01:15:31 UTC 2021 年 12 月 30 日 (木) 10 時 15 分 31 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovJanuary 20, 2022 15:54:49 UTC 2022 年 1 月 21 日 (金) 0 時 54 分 49 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:31:53 UTC 2022 年 2 月 20 日 (日) 18 時 31 分 53 秒 (日本時間)

4×10276-1399

c268

composite cofactor 合成数の残り
3169688052543240533766054074765652461818221009933820582376817956455882625126484717839960099903400824637296142235985768471497582997562532867832628968027774220397255307842136225463213992351449223415610566426765418995275022885009065509897887017558154942239777032351144553<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 01:15:42 UTC 2021 年 12 月 30 日 (木) 10 時 15 分 42 秒 (日本時間)
4511e63600 / 42131800Dmitry DomanovJanuary 20, 2022 15:54:32 UTC 2022 年 1 月 21 日 (金) 0 時 54 分 32 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:31:30 UTC 2022 年 2 月 20 日 (日) 18 時 31 分 30 秒 (日本時間)

4×10277-1399

c243

composite cofactor 合成数の残り
870694401029437407829849246709053053348347037557083544300908713797795720481878928903895092125001550428292299268894600715536064512847056740055533981493819722253798157958373251878869020554881461383057176390284138720379456343712252935559816288179<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 06:46:25 UTC 2022 年 1 月 11 日 (火) 15 時 46 分 25 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 31, 2022 21:04:17 UTC 2022 年 2 月 1 日 (火) 6 時 4 分 17 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:27:46 UTC 2022 年 3 月 4 日 (金) 5 時 27 分 46 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:31:46 UTC 2022 年 3 月 7 日 (月) 18 時 31 分 46 秒 (日本時間)

4×10278-1399

c202

composite cofactor 合成数の残り
1011860756546279510286603775760663198764041096372030922218594046444143232470370882222399615507669541388414056756919841800317420707601674450238113813866481992371298777831999521138754980746729342804262957<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e60--
4511e624082048iveliveDecember 29, 2021 04:06:53 UTC 2021 年 12 月 29 日 (水) 13 時 6 分 53 秒 (日本時間)
360Dmitry DomanovMarch 2, 2022 18:23:53 UTC 2022 年 3 月 3 日 (木) 3 時 23 分 53 秒 (日本時間)
5043e61000 / 7007Dmitry DomanovMarch 5, 2022 21:39:49 UTC 2022 年 3 月 6 日 (日) 6 時 39 分 49 秒 (日本時間)

4×10279-1399

c227

composite cofactor 合成数の残り
10409942542578232549930541553010660762737798421895556516621517862001417432943214022208377701027385600879099626512691652028156845685548956933106395465543063898353802664299081603696093975452013583944772183419791596444335165612947<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 05:57:27 UTC 2022 年 1 月 11 日 (火) 14 時 57 分 27 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 30, 2022 21:19:32 UTC 2022 年 1 月 31 日 (月) 6 時 19 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:28:00 UTC 2022 年 3 月 4 日 (金) 5 時 28 分 0 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:31:38 UTC 2022 年 3 月 7 日 (月) 18 時 31 分 38 秒 (日本時間)

4×10280-1399

c249

name 名前Dmitry Domanov
date 日付February 1, 2022 19:15:29 UTC 2022 年 2 月 2 日 (水) 4 時 15 分 29 秒 (日本時間)
composite number 合成数
319662275336154191058561642936989636581774452447319877939428602476238687709429267811099101655340336813498585590106533163829799010546425489985088588792243127896689355492548708675864411756936543023965036111025954507197990534069517714450245526823862889<249>
prime factors 素因数
89075500120300074478392280709231593043566159<44>
composite cofactor 合成数の残り
3588666635656688174761192475836398800211945645176671379514132450846399852875242023752670998017235577562959356589846642013386606595241740117137805273786802964660746947579817498418806838722332964950968278471<205>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=578613150
Step 1 took 64368ms
Step 2 took 20888ms
********** Factor found in step 2: 89075500120300074478392280709231593043566159
Found probable prime factor of 44 digits: 89075500120300074478392280709231593043566159
Composite cofactor 3588666635656688174761192475836398800211945645176671379514132450846399852875242023752670998017235577562959356589846642013386606595241740117137805273786802964660746947579817498418806838722332964950968278471 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 06:46:03 UTC 2022 年 1 月 11 日 (火) 15 時 46 分 3 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 31, 2022 21:04:30 UTC 2022 年 2 月 1 日 (火) 6 時 4 分 30 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:24:23 UTC 2022 年 3 月 3 日 (木) 3 時 24 分 23 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 5, 2022 21:40:35 UTC 2022 年 3 月 6 日 (日) 6 時 40 分 35 秒 (日本時間)

4×10282-1399

c277

name 名前Dmitry Domanov
date 日付December 30, 2021 15:49:02 UTC 2021 年 12 月 31 日 (金) 0 時 49 分 2 秒 (日本時間)
composite number 合成数
1019875590476095773457074838725798033526880223515934408741149710852521655145897027751069785752185019710370630438645941774792601924454245448868919724827366933644599363546637763392432574112446893165737177550396514881132225085522942483861106202959831944900201348938449743208074763<277>
prime factors 素因数
77774604253663104233476375187764003717<38>
composite cofactor 合成数の残り
13113221214855113548333186878116265888100439380510611709319232831935021504739686914051235512263928353636309848645033524591560370746058027370636199670393743705195677704365964948978036444902796166820880888230742132392219937214857692590479439<239>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:710783621
Step 1 took 34784ms
Step 2 took 12368ms
********** Factor found in step 2: 77774604253663104233476375187764003717
Found prime factor of 38 digits: 77774604253663104233476375187764003717
Composite cofactor 13113221214855113548333186878116265888100439380510611709319232831935021504739686914051235512263928353636309848645033524591560370746058027370636199670393743705195677704365964948978036444902796166820880888230742132392219937214857692590479439 has 239 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:26:47 UTC 2021 年 12 月 30 日 (木) 9 時 26 分 47 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 31, 2022 21:02:16 UTC 2022 年 2 月 1 日 (火) 6 時 2 分 16 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:29:37 UTC 2022 年 3 月 4 日 (金) 5 時 29 分 37 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:31:23 UTC 2022 年 3 月 7 日 (月) 18 時 31 分 23 秒 (日本時間)

4×10283-1399

c241

composite cofactor 合成数の残り
8732303143957511677898561928007867404476718661599047842073352315243043369362543623915668694353072334580400828222492682049565286420048412257519269371329307487104848607365644341567189370631194393966654718214613019038375471284075432941942991917<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 05:57:22 UTC 2022 年 1 月 11 日 (火) 14 時 57 分 22 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 31, 2022 21:02:03 UTC 2022 年 2 月 1 日 (火) 6 時 2 分 3 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:29:14 UTC 2022 年 3 月 4 日 (金) 5 時 29 分 14 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:31:12 UTC 2022 年 3 月 7 日 (月) 18 時 31 分 12 秒 (日本時間)

4×10285-1399

c240

name 名前Dmitry Domanov
date 日付January 31, 2022 19:19:36 UTC 2022 年 2 月 1 日 (火) 4 時 19 分 36 秒 (日本時間)
composite number 合成数
236632884387505786279811118689459611049682152985764692074504784706773806208247221156116357001289108357373007307103718905760162483739465804330686506916749264787933714872157048406188559799126968863087746364082864882089559438665758442426444711<240>
prime factors 素因数
12021305260774770222862230534391319836440461<44>
composite cofactor 合成数の残り
19684458488849226177081795362184282203007340318950988419268934076834759769458979344564471443747676873129196641421682610174925196530465618929262737665984471471052648699305237478345199099657019349251<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3271795287
Step 1 took 46446ms
Step 2 took 19136ms
********** Factor found in step 2: 12021305260774770222862230534391319836440461
Found prime factor of 44 digits: 12021305260774770222862230534391319836440461
Composite cofactor 19684458488849226177081795362184282203007340318950988419268934076834759769458979344564471443747676873129196641421682610174925196530465618929262737665984471471052648699305237478345199099657019349251 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 05:58:19 UTC 2022 年 1 月 11 日 (火) 14 時 58 分 19 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 30, 2022 19:51:33 UTC 2022 年 1 月 31 日 (月) 4 時 51 分 33 秒 (日本時間)
1000Dmitry DomanovFebruary 19, 2022 06:56:19 UTC 2022 年 2 月 19 日 (土) 15 時 56 分 19 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovFebruary 26, 2022 22:33:26 UTC 2022 年 2 月 27 日 (日) 7 時 33 分 26 秒 (日本時間)

4×10287-1399

c240

composite cofactor 合成数の残り
792838774596004105861997824190868239647865606468482989219337332428210271251509110131830639787154004031156822584240637455518342058026390903802101609205491855491350102831682556554479832915803229489686337093398774197127339912261631265627872383<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 11, 2022 05:56:11 UTC 2022 年 1 月 11 日 (火) 14 時 56 分 11 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 30, 2022 19:50:20 UTC 2022 年 1 月 31 日 (月) 4 時 50 分 20 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:29:14 UTC 2022 年 3 月 4 日 (金) 5 時 29 分 14 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:31:00 UTC 2022 年 3 月 7 日 (月) 18 時 31 分 0 秒 (日本時間)

4×10289-1399

c283

composite cofactor 合成数の残り
2497576258339797372886949021409036368269367595583960490341654071077398826776040526171883073220131938212211187305918812412479464459708381747288116088843033388785770209122684504855818981167463299833967374286216120143907846429280784828373115664567266503312691489952219492995765921408643<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:26:33 UTC 2021 年 12 月 30 日 (木) 9 時 26 分 33 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 19, 2022 21:57:07 UTC 2022 年 1 月 20 日 (木) 6 時 57 分 7 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:31:19 UTC 2022 年 2 月 20 日 (日) 18 時 31 分 19 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovFebruary 25, 2022 14:03:43 UTC 2022 年 2 月 25 日 (金) 23 時 3 分 43 秒 (日本時間)

4×10290-1399

c288

composite cofactor 合成数の残り
499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:26:37 UTC 2021 年 12 月 30 日 (木) 9 時 26 分 37 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 14, 2022 23:15:42 UTC 2022 年 1 月 15 日 (土) 8 時 15 分 42 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:31:09 UTC 2022 年 2 月 20 日 (日) 18 時 31 分 9 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovFebruary 25, 2022 14:04:02 UTC 2022 年 2 月 25 日 (金) 23 時 4 分 2 秒 (日本時間)

4×10291-1399

c289

composite cofactor 合成数の残り
1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:26:42 UTC 2021 年 12 月 30 日 (木) 9 時 26 分 42 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 14, 2022 05:37:54 UTC 2022 年 1 月 14 日 (金) 14 時 37 分 54 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:30:59 UTC 2022 年 2 月 20 日 (日) 18 時 30 分 59 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovFebruary 25, 2022 14:03:42 UTC 2022 年 2 月 25 日 (金) 23 時 3 分 42 秒 (日本時間)

4×10292-1399

c258

composite cofactor 合成数の残り
478359672719308819139223073085384873898259597028945723226708102445900670987010460259098757649954420956533641739252019875688974387834101861583462990865231992178226546341870859309004438982032896969794101283097581393148576844703764508236278553441634356220018131<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 01:15:00 UTC 2021 年 12 月 30 日 (木) 10 時 15 分 0 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 20, 2022 15:54:05 UTC 2022 年 1 月 21 日 (金) 0 時 54 分 5 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:31:20 UTC 2022 年 2 月 20 日 (日) 18 時 31 分 20 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovMarch 10, 2022 23:42:13 UTC 2022 年 3 月 11 日 (金) 8 時 42 分 13 秒 (日本時間)

4×10294-1399

c270

name 名前Dmitry Domanov
date 日付December 30, 2021 14:18:09 UTC 2021 年 12 月 30 日 (木) 23 時 18 分 9 秒 (日本時間)
composite number 合成数
454830178318049918025965870506050026963535089196240789454349660767042766406523978064966878930350003104113449047446830670239306942986241435391197016742071573949256794948270436533978595766514044586527649041484718947008088738333916523385092729172801638908272404508899671973<270>
prime factors 素因数
28017094212424705145090536092706001<35>
composite cofactor 合成数の残り
16234023945150848555491067291362240123710152627746799239291324788854032539698830148822104591166273829168753678777185927658976589468228228328287465405825586308818588409001481701661734494369313037248946872853983275258829034807149198733973<236>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=338323508
Step 1 took 17892ms
Step 2 took 4882ms
********** Factor found in step 2: 28017094212424705145090536092706001
Found probable prime factor of 35 digits: 28017094212424705145090536092706001
Composite cofactor 16234023945150848555491067291362240123710152627746799239291324788854032539698830148822104591166273829168753678777185927658976589468228228328287465405825586308818588409001481701661734494369313037248946872853983275258829034807149198733973 has 236 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:24:42 UTC 2021 年 12 月 30 日 (木) 9 時 24 分 42 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 29, 2022 15:46:20 UTC 2022 年 1 月 30 日 (日) 0 時 46 分 20 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2022 20:28:43 UTC 2022 年 3 月 4 日 (金) 5 時 28 分 43 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 7, 2022 09:30:39 UTC 2022 年 3 月 7 日 (月) 18 時 30 分 39 秒 (日本時間)

4×10295-1399

c272

composite cofactor 合成数の残り
21181890546115343184014381726717931284733984988923537245541953614973840615572372297486456236926881595787706932732588660523820655233214781062214315691450114768944175125050655868873443137358474724624785586978064819986584691746676769948331765731359201832488441518310932338919<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:24:37 UTC 2021 年 12 月 30 日 (木) 9 時 24 分 37 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 19, 2022 21:56:40 UTC 2022 年 1 月 20 日 (木) 6 時 56 分 40 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:30:59 UTC 2022 年 2 月 20 日 (日) 18 時 30 分 59 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovMarch 4, 2022 13:38:07 UTC 2022 年 3 月 4 日 (金) 22 時 38 分 7 秒 (日本時間)

4×10296-1399

c251

name 名前Dmitry Domanov
date 日付December 30, 2021 22:52:16 UTC 2021 年 12 月 31 日 (金) 7 時 52 分 16 秒 (日本時間)
composite number 合成数
50450543048092852729067651979154924072915014664748275057473778917249034261058721875650695443401202539203376442249996121332844764927949173760722501230680187496157596372553277507697289453983462775025762122081182990955315249906054450004864392728279427053<251>
prime factors 素因数
6447762292316475144898738985437462307<37>
composite cofactor 合成数の残り
7824504186237235377437117395057433741014669994105108291234901635109623821537918950201574927548816595516020278781332406082211640505611083527958549238866783841920390673335720240306188499430930630570731798573745026479<214>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=940346837
Step 1 took 18280ms
Step 2 took 6001ms
********** Factor found in step 2: 6447762292316475144898738985437462307
Found probable prime factor of 37 digits: 6447762292316475144898738985437462307
Composite cofactor 7824504186237235377437117395057433741014669994105108291234901635109623821537918950201574927548816595516020278781332406082211640505611083527958549238866783841920390673335720240306188499430930630570731798573745026479 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:24:33 UTC 2021 年 12 月 30 日 (木) 9 時 24 分 33 秒 (日本時間)
4511e622001200Dmitry DomanovJanuary 30, 2022 21:19:09 UTC 2022 年 1 月 31 日 (月) 6 時 19 分 9 秒 (日本時間)
1000Dmitry DomanovMarch 2, 2022 18:26:03 UTC 2022 年 3 月 3 日 (木) 3 時 26 分 3 秒 (日本時間)
5043e61000 / 7016Dmitry DomanovMarch 6, 2022 07:41:03 UTC 2022 年 3 月 6 日 (日) 16 時 41 分 3 秒 (日本時間)

4×10297-1399

c261

composite cofactor 合成数の残り
232973110642926681130288094692133324097717896993874309745698110286557958446543710443457761747089237350916140514701950796602775437762334176830302618243396787656499624966667387750054776351944717565774665257330467644224801659796347951899298061933135745390457116187<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:24:28 UTC 2021 年 12 月 30 日 (木) 9 時 24 分 28 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 19, 2022 21:57:44 UTC 2022 年 1 月 20 日 (木) 6 時 57 分 44 秒 (日本時間)
1800Dmitry DomanovFebruary 20, 2022 09:30:58 UTC 2022 年 2 月 20 日 (日) 18 時 30 分 58 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovMarch 10, 2022 23:43:19 UTC 2022 年 3 月 11 日 (金) 8 時 43 分 19 秒 (日本時間)

4×10298-1399

c297

composite cofactor 合成数の残り
103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:24:24 UTC 2021 年 12 月 30 日 (木) 9 時 24 分 24 秒 (日本時間)
4511e636001800Dmitry DomanovDecember 31, 2021 23:53:32 UTC 2022 年 1 月 1 日 (土) 8 時 53 分 32 秒 (日本時間)
1800Dmitry DomanovFebruary 18, 2022 21:09:24 UTC 2022 年 2 月 19 日 (土) 6 時 9 分 24 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovFebruary 25, 2022 14:03:12 UTC 2022 年 2 月 25 日 (金) 23 時 3 分 12 秒 (日本時間)

4×10299-1399

c292

composite cofactor 合成数の残り
4579830178294048294286330959847793007888539940178029219614226477617230685920135341309496874397573431937993038039851918976896165048286351775175953354338037471552241727833447331031258795062938487968837644711040938953119289703146055948144323226644242902147703347408181933021059902541442797411567<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 30, 2021 00:24:20 UTC 2021 年 12 月 30 日 (木) 9 時 24 分 20 秒 (日本時間)
4511e636001800Dmitry DomanovJanuary 7, 2022 23:11:56 UTC 2022 年 1 月 8 日 (土) 8 時 11 分 56 秒 (日本時間)
1800Dmitry DomanovFebruary 18, 2022 21:09:17 UTC 2022 年 2 月 19 日 (土) 6 時 9 分 17 秒 (日本時間)
5043e61800 / 6702Dmitry DomanovFebruary 25, 2022 14:03:17 UTC 2022 年 2 月 25 日 (金) 23 時 3 分 17 秒 (日本時間)

4×10300-1399

c272

composite cofactor 合成数の残り
45021873454463651391175318181468682827625531445879942773015111898273908485873234266273636542855855254197759981933423168674232954703162161843346925313924295904353291442114772928235816459721867821965187579081018248761725843397400731630749165109312652806287327624868170971923<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2021 00:20:34 UTC 2021 年 12 月 29 日 (水) 9 時 20 分 34 秒 (日本時間)
4511e636001800Dmitry DomanovDecember 31, 2021 09:25:20 UTC 2021 年 12 月 31 日 (金) 18 時 25 分 20 秒 (日本時間)
1800Dmitry DomanovJanuary 4, 2022 00:12:21 UTC 2022 年 1 月 4 日 (火) 9 時 12 分 21 秒 (日本時間)
5043e6200 / 6702Dmitry DomanovJanuary 6, 2022 14:46:26 UTC 2022 年 1 月 6 日 (木) 23 時 46 分 26 秒 (日本時間)