Table of contents 目次

10136+3149

c98

name 名前Ignacio Santos
date 日付December 29, 2021 10:20:15 UTC 2021 年 12 月 29 日 (水) 19 時 20 分 15 秒 (日本時間)
composite number 合成数
28795922519329693280357662529911382515899330933944373572601093025415709308224840632605041849810819<98>
prime factors 素因数
593701314674281133797763362804704242831891<42>
48502372838988627083622335432144439221611198482140121809<56>
factorization results 素因数分解の結果
prp42 = 593701314674281133797763362804704242831891
prp56 = 48502372838988627083622335432144439221611198482140121809
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)

10138+3149

c125

name 名前Bob Backstrom
date 日付December 29, 2021 11:42:44 UTC 2021 年 12 月 29 日 (水) 20 時 42 分 44 秒 (日本時間)
composite number 合成数
14509494800988382706226086829805741584505004484451886480110157619069524588214130450313801527614174401869878602811096565951969<125>
prime factors 素因数
11218820815184443747765474032986179409<38>
30235254862147214690831611528534004021477<41>
42775140612116427002915739514107748334715670333<47>
factorization results 素因数分解の結果
CADO

STA:Wed 29 Dec 2021 19:45:27 AEDT (14,509,494,800,988,382,706,226,086,829,805,741,584,505,004,484,451,886,480,110,157,619,069,524,588,214,130,450,313,801,527,614,174,401,869,878,602,811,096,565,951,969 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 14509494800988382706226086829805741584505004484451886480110157619069524588214130450313801527614174401869878602811096565951969 2>&1 | tee -a log126

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.tj8vc51t
Info:Database: Opened connection to database /tmp/cado.tj8vc51t/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 1450949480098838270622608682980574158450500448445188648011015761906952458821413045031
3801527614174401869878602811096565951969
Debug:root: Root parameter dictionary:
N = 14509494800988382706226086829805741584505004484451886480110157619069524588214130450313801527614174401869878602811096565951969
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 14509494800988382706226086829805741584505004484451886480110157619069524588214130450313801527614174401869878602811096565951969
skew: 16429.86
c0: -595626648071084995029580300
c1: -448575353852434712417317
c2: 60551388049562235280
c3: 3589233214078843
c4: -81972196194
c5: 962280
Y0: -629589437749528464301222
Y1: 662490305727909979
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.86e-10
# f(x) = 962280*x^5-81972196194*x^4+3589233214078843*x^3+60551388049562235280*x^2-448575353852434712417317*x-595626648071084995029580300
# g(x) = 662490305727909979*x-629589437749528464301222
...
Info:Square Root: finished
Info:Square Root: Factors: 11218820815184443747765474032986179409 30235254862147214690831611528534004021477 42775140612116427002915739514107748334715670333
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 615.81/85.5828
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): 21934/36.260/44.198/48.150/0.865
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21934/35.800/39.940/44.990/1.281
Info:Polynomial Selection (size optimized): Total time: 1763.25
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1211.23
Info:Polynomial Selection (root optimized): Rootsieve time: 1210.39
Info:Generate Factor Base: Total cpu/real time for makefb: 11.97/1.13206
Info:Generate Free Relations: Total cpu/real time for freerel: 149.6/10.0797
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13057991
Info:Lattice Sieving: Average J: 3777.49 for 194159 special-q, max bucket fill: 0.719312
Info:Lattice Sieving: Total CPU time: 136798s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.48/40.2512
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 191.12/58.0451
Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.37/52.7579
Info:Filtering - Merging: Total cpu/real time for merge: 237.97/196.738
Info:Filtering - Merging: Total cpu/real time for replay: 21.61/16.6641
Info:Linear Algebra: Total cpu/real time for bwc: 9680.3/0.000333309
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 403.07
Info:Linear Algebra: Lingen CPU time 140.63, WCT time 14.07
Info:Linear Algebra: Mksol: WCT time 218.64
Info:Quadratic Characters: Total cpu/real time for characters: 23.77/5.60084
Info:Square Root: Total cpu/real time for sqrt: 615.81/85.5828
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 150877/10319.4
Info:root: Cleaning up computation data in /tmp/cado.tj8vc51t
11218820815184443747765474032986179409 30235254862147214690831611528534004021477 42775140612116427002915739514107748334715670333

END:Wed 29 Dec 2021 22:37:27 AEDT (14,509,494,800,988,382,706,226,086,829,805,741,584,505,004,484,451,886,480,110,157,619,069,524,588,214,130,450,313,801,527,614,174,401,869,878,602,811,096,565,951,969 - 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)

10147+3149

c124

name 名前Ignacio Santos
date 日付December 29, 2021 18:47:00 UTC 2021 年 12 月 30 日 (木) 3 時 47 分 0 秒 (日本時間)
composite number 合成数
2273339322176224115492161379204455483811246422597799538571860671612812656760124117994727682254895968322045850552453901295021<124>
prime factors 素因数
3651340500550773732178881246310559227<37>
622604033185431533560071217685915910613245681326879718794608071038642924660895478946423<87>
factorization results 素因数分解の結果
N=2273339322176224115492161379204455483811246422597799538571860671612812656760124117994727682254895968322045850552453901295021
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3651340500550773732178881246310559227 (pp37)
 r2=622604033185431533560071217685915910613245681326879718794608071038642924660895478946423 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.89 hours.
Scaled time: 46.68 units (timescale=7.918).
Factorization parameters were as follows:
n: 2273339322176224115492161379204455483811246422597799538571860671612812656760124117994727682254895968322045850552453901295021
m: 100000000000000000000000000000
deg: 5
c5: 50
c0: 157
skew: 1.26
# Murphy_E = 1.684e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2375001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 324174 x 324399
Total sieving time: 5.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 5.89 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)

10150+3149

c109

name 名前Ignacio Santos
date 日付December 29, 2021 23:32:47 UTC 2021 年 12 月 30 日 (木) 8 時 32 分 47 秒 (日本時間)
composite number 合成数
5798323944732092768032147727444195337357643339869085276957679755729166538898231356241592110645210138866358673<109>
prime factors 素因数
8136450262818630927607942724395110560950407793<46>
712635579084021351187136637151958283929382943240839082152528161<63>
factorization results 素因数分解の結果
N=5798323944732092768032147727444195337357643339869085276957679755729166538898231356241592110645210138866358673
  ( 109 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=8136450262818630927607942724395110560950407793 (pp46)
 r2=712635579084021351187136637151958283929382943240839082152528161 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.59 hours.
Scaled time: 51.57 units (timescale=7.825).
Factorization parameters were as follows:
n: 5798323944732092768032147727444195337357643339869085276957679755729166538898231356241592110645210138866358673
m: 1000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 1.647e-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 : 323648 x 323882
Total sieving time: 6.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 6.59 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)

10155+3149

c114

name 名前Ignacio Santos
date 日付January 1, 2022 12:23:48 UTC 2022 年 1 月 1 日 (土) 21 時 23 分 48 秒 (日本時間)
composite number 合成数
823734393715049709032714363437009071032893046760383978141905740258654542985468275620154017489079823830815630424113<114>
prime factors 素因数
359622075647246964297859695355367077006845709<45>
2290555695816210638238768585332661900614998042255950776684980323634357<70>
factorization results 素因数分解の結果
N=823734393715049709032714363437009071032893046760383978141905740258654542985468275620154017489079823830815630424113
  ( 114 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=359622075647246964297859695355367077006845709 (pp45)
 r2=2290555695816210638238768585332661900614998042255950776684980323634357 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.34 hours.
Scaled time: 73.06 units (timescale=7.819).
Factorization parameters were as follows:
n: 823734393715049709032714363437009071032893046760383978141905740258654542985468275620154017489079823830815630424113
m: 10000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 1.062e-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 : 450509 x 450735
Total sieving time: 9.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 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: 9.34 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)

10160+3149

c149

name 名前Ignacio Santos
date 日付January 3, 2022 13:28:07 UTC 2022 年 1 月 3 日 (月) 22 時 28 分 7 秒 (日本時間)
composite number 合成数
18156718448655099450589640691151633137862147468848524031340864012548025731939906612923233686101293491926003752440860310997026506767397245422108209671<149>
prime factors 素因数
2526537357588129610843972282657812035234868709457375049016684263844512499<73>
7186404109214428844271323936114832916362220577618003272899775231702142652829<76>
factorization results 素因数分解の結果
N=18156718448655099450589640691151633137862147468848524031340864012548025731939906612923233686101293491926003752440860310997026506767397245422108209671
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2526537357588129610843972282657812035234868709457375049016684263844512499 (pp73)
 r2=7186404109214428844271323936114832916362220577618003272899775231702142652829 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.58 hours.
Scaled time: 106.45 units (timescale=7.837).
Factorization parameters were as follows:
n: 18156718448655099450589640691151633137862147468848524031340864012548025731939906612923233686101293491926003752440860310997026506767397245422108209671
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 6.812e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1600000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 581180 x 581406
Total sieving time: 13.47 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 13.58 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)

10164+3149

c122

name 名前Bob Backstrom
date 日付January 3, 2022 14:23:18 UTC 2022 年 1 月 3 日 (月) 23 時 23 分 18 秒 (日本時間)
composite number 合成数
25356768408652779495734408563747078363838005071919879803998498196757287978090497886173434224413977709000260224629014047899<122>
prime factors 素因数
526275655556314762735065376520376413770308689<45>
48181534032480907410097308858871401302375674077545958954620877437835758254891<77>
factorization results 素因数分解の結果
CADO

STA:Mon 03 Jan 2022 22:55:55 AEDT (25,356,768,408,652,779,495,734,408,563,747,078,363,838,005,071,919,879,803,998,498,196,757,287,978,090,497,886,173,434,224,413,977,709,000,260,224,629,014,047,899 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 25356768408652779495734408563747078363838005071919879803998498196757287978090497886173434224413977709000260224629014047899 2>&1 | tee -a log156

Debug:root: Looking for parameter file for c122 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.j4twmq48
Info:Database: Opened connection to database /tmp/cado.j4twmq48/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 2535676840865277949573440856374707836383800507191987980399849819675728797809049788617
3434224413977709000260224629014047899
Debug:root: Root parameter dictionary:
N = 25356768408652779495734408563747078363838005071919879803998498196757287978090497886173434224413977709000260224629014047899
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 25356768408652779495734408563747078363838005071919879803998498196757287978090497886173434224413977709000260224629014047899
skew: 38527.572
c0: 6143817723160612474858796148
c1: -750523738484960796807752
c2: -15948619270166347507
c3: 176831813942437
c4: 2252371692
c5: -132480
Y0: -395028981054873886507153
Y1: 1666612814558101837
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.36e-09
# f(x) = -132480*x^5+2252371692*x^4+176831813942437*x^3-15948619270166347507*x^2-750523738484960796807752*x+6143817723160612474858796148
# g(x) = 1666612814558101837*x-395028981054873886507153
...
Info:Square Root: finished
Info:Square Root: Factors: 48181534032480907410097308858871401302375674077545958954620877437835758254891 526275655556314762735065376520376413770308689
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): 10561/36.390/43.491/48.200/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10561/34.850/38.646/43.920/1.128
Info:Polynomial Selection (size optimized): Total time: 1128.09
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 384.33
Info:Polynomial Selection (root optimized): Rootsieve time: 383.39
Info:Generate Factor Base: Total cpu/real time for makefb: 24.18/2.22092
Info:Generate Free Relations: Total cpu/real time for freerel: 148.59/9.88627
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10425994
Info:Lattice Sieving: Average J: 7888.7 for 25289 special-q, max bucket fill: 0.685029
Info:Lattice Sieving: Total CPU time: 73938.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.79/35.0888
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 207.31/99.116
Info:Filtering - Singleton removal: Total cpu/real time for purge: 142.85/79.7717
Info:Filtering - Merging: Total cpu/real time for merge: 475.01/385.499
Info:Filtering - Merging: Total cpu/real time for replay: 36.62/28.6841
Info:Linear Algebra: Total cpu/real time for bwc: 22478.6/0.00033617
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 928.3
Info:Linear Algebra: Lingen CPU time 224.64, WCT time 22.17
Info:Linear Algebra: Mksol: WCT time 518.81
Info:Quadratic Characters: Total cpu/real time for characters: 37.43/8.93961
Info:Square Root: Total cpu/real time for sqrt: 918.25/132.775
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 99946.9/8178.55
Info:root: Cleaning up computation data in /tmp/cado.j4twmq48
48181534032480907410097308858871401302375674077545958954620877437835758254891 526275655556314762735065376520376413770308689

END:Tue 04 Jan 2022 01:12:14 AEDT (25,356,768,408,652,779,495,734,408,563,747,078,363,838,005,071,919,879,803,998,498,196,757,287,978,090,497,886,173,434,224,413,977,709,000,260,224,629,014,047,899 - C122)

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)

10165+3149

c162

name 名前Ignacio Santos
date 日付January 2, 2022 13:16:42 UTC 2022 年 1 月 2 日 (日) 22 時 16 分 42 秒 (日本時間)
composite number 合成数
424088210347752332485156912637828668363019508057675996607294317217981340118744698897370653095843935538592027141645462256149279050042408821034775233248515691263783<162>
prime factors 素因数
2976325390678448974607652247459283<34>
5451530526661979101575799760332584790445781440469533894533<58>
26137096519126339735816416267803672734622246725999688184721700081784697<71>
factorization results 素因数分解の結果
N=424088210347752332485156912637828668363019508057675996607294317217981340118744698897370653095843935538592027141645462256149279050042408821034775233248515691263783
  ( 162 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2976325390678448974607652247459283 (pp34)
 r2=5451530526661979101575799760332584790445781440469533894533 (pp58)
 r3=26137096519126339735816416267803672734622246725999688184721700081784697 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.49 hours.
Scaled time: 153.06 units (timescale=7.855).
Factorization parameters were as follows:
n: 424088210347752332485156912637828668363019508057675996607294317217981340118744698897370653095843935538592027141645462256149279050042408821034775233248515691263783
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 4.348e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 650823 x 651049
Total sieving time: 19.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 19.49 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)

10166+3149

c143

name 名前Ignacio Santos
date 日付January 4, 2022 22:02:55 UTC 2022 年 1 月 5 日 (水) 7 時 2 分 55 秒 (日本時間)
composite number 合成数
66355477015260137582017864001316605459256396496158543019697932872500638470372745724304664308868990118163194732612096860932280621254665112797603<143>
prime factors 素因数
3548230035650062856599037152532838929<37>
18701007642843907985923558320232148262014319120289576280114752748402641802835158978485230036585170174241907<107>
factorization results 素因数分解の結果
N=66355477015260137582017864001316605459256396496158543019697932872500638470372745724304664308868990118163194732612096860932280621254665112797603
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=3548230035650062856599037152532838929 (pp37)
 r2=18701007642843907985923558320232148262014319120289576280114752748402641802835158978485230036585170174241907 (pp107)
Version: Msieve v. 1.52 (SVN 927)
Total time: 23.48 hours.
Scaled time: 184.84 units (timescale=7.874).
Factorization parameters were as follows:
n: 66355477015260137582017864001316605459256396496158543019697932872500638470372745724304664308868990118163194732612096860932280621254665112797603
m: 1000000000000000000000000000000000
deg: 5
c5: 5
c0: 157
skew: 1.99
# Murphy_E = 3.479e-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, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 753560 x 753786
Total sieving time: 23.31 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 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: 23.48 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)

10168+3149

c141

name 名前Bob Backstrom
date 日付January 7, 2022 06:32:35 UTC 2022 年 1 月 7 日 (金) 15 時 32 分 35 秒 (日本時間)
composite number 合成数
180316019925545432182737158876354829255313161413777541046805748414351835349955982422928705597072247032979991311424162705734552701937952420529<141>
prime factors 素因数
96267760399306577692244738329407327217429177487146450257036472501<65>
1873067568806184245861818974373240968837831640315678706311065295119139718029<76>
factorization results 素因数分解の結果
Number: n
N=180316019925545432182737158876354829255313161413777541046805748414351835349955982422928705597072247032979991311424162705734552701937952420529  ( 141 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Jan  7 17:25:52 2022  p65 factor: 96267760399306577692244738329407327217429177487146450257036472501
Fri Jan  7 17:25:52 2022  p76 factor: 1873067568806184245861818974373240968837831640315678706311065295119139718029
Fri Jan  7 17:25:52 2022  elapsed time 00:15:10 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 10^168+314 = 2(166)92
#
n: 180316019925545432182737158876354829255313161413777541046805748414351835349955982422928705597072247032979991311424162705734552701937952420529
m: 1000000000000000000000000000000000
deg: 5
c5: 500
c0: 157
skew: 0.79
# Murphy_E = 2.152e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3326665 hash collisions in 20577775 relations (17821691 unique)
Msieve: matrix is 608935 x 609183 (199.0 MB)

Sieving start time : 2022/01/07 15:50:09
Sieving end time  : 2022/01/07 17:10:18

Total sieving time: 1hrs 20min 9secs.

Total relation processing time: 0hrs 5min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 7sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
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 09:26:18 UTC 2022 年 1 月 5 日 (水) 18 時 26 分 18 秒 (日本時間)

10169+3149

c168

name 名前Bob Backstrom
date 日付January 4, 2022 09:36:38 UTC 2022 年 1 月 4 日 (火) 18 時 36 分 38 秒 (日本時間)
composite number 合成数
185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185191<168>
prime factors 素因数
199484505943795410337256837207210861959598062645496486383<57>
928318639630894207903623037026079328514443160397297920316755975874289710441303403355538944496721237513165483977<111>
factorization results 素因数分解の結果
Number: n
N=185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185191  ( 168 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue Jan  4 20:32:19 2022  p57 factor: 199484505943795410337256837207210861959598062645496486383
Tue Jan  4 20:32:19 2022  p111 factor: 928318639630894207903623037026079328514443160397297920316755975874289710441303403355538944496721237513165483977
Tue Jan  4 20:32:19 2022  elapsed time 00:14:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 10^169+314 = 2(167)92
#
n: 185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185185191
m: 5000000000000000000000000000000000
deg: 5
c5: 8
c0: 785
skew: 2.50
# Murphy_E = 2.323e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2845468 hash collisions in 20590289 relations (18438432 unique)
Msieve: matrix is 610023 x 610252 (205.5 MB)

Sieving start time : 2022/01/04 19:13:03
Sieving end time  : 2022/01/04 20:16:59

Total sieving time: 1hrs 3min 56secs.

Total relation processing time: 0hrs 5min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
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)

10170+3149

c169

name 名前Bob Backstrom
date 日付January 4, 2022 05:11:59 UTC 2022 年 1 月 4 日 (火) 14 時 11 分 59 秒 (日本時間)
composite number 合成数
5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573<169>
prime factors 素因数
598198411000355703808127212442320767635956340393999289447391041451<66>
9287145290581943860444431790966008611273084128651074595045493423917004187438417183748147050335050912223<103>
factorization results 素因数分解の結果
Number: n
N=5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573  ( 169 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jan  4 16:04:25 2022  p66 factor: 598198411000355703808127212442320767635956340393999289447391041451
Tue Jan  4 16:04:25 2022  p103 factor: 9287145290581943860444431790966008611273084128651074595045493423917004187438417183748147050335050912223
Tue Jan  4 16:04:25 2022  elapsed time 00:09:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.292).
Factorization parameters were as follows:
#
# N = 10^170+314 = 2(168)92
#
n: 5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 2.763e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2542944 hash collisions in 20578862 relations (18807203 unique)
Msieve: matrix is 558492 x 558717 (188.9 MB)

Sieving start time : 2022/01/04 14:54:06
Sieving end time  : 2022/01/04 15:54:13

Total sieving time: 1hrs 0min 7secs.

Total relation processing time: 0hrs 4min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] 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)

10175+3149

c166

name 名前Bob Backstrom
date 日付January 4, 2022 13:47:38 UTC 2022 年 1 月 4 日 (火) 22 時 47 分 38 秒 (日本時間)
composite number 合成数
1658139698191971735743352100181651425844126080892810118666714157114134643290755744865497549308823983112924301462713376293497741174158228543804210408876910832602207309<166>
prime factors 素因数
742169675533594864859535950290634288749504419933877<51>
2234178723348977363951045247210128263795240678251069823014557600571251151753543039632854203534604973161573664028217<115>
factorization results 素因数分解の結果
Number: n
N=1658139698191971735743352100181651425844126080892810118666714157114134643290755744865497549308823983112924301462713376293497741174158228543804210408876910832602207309  ( 166 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed Jan  5 00:42:59 2022  p51 factor: 742169675533594864859535950290634288749504419933877
Wed Jan  5 00:42:59 2022  p115 factor: 2234178723348977363951045247210128263795240678251069823014557600571251151753543039632854203534604973161573664028217
Wed Jan  5 00:42:59 2022  elapsed time 00:14:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 10^175+314 = 2(173)92
#
n: 1658139698191971735743352100181651425844126080892810118666714157114134643290755744865497549308823983112924301462713376293497741174158228543804210408876910832602207309
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 1.747e-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 4591389 hash collisions in 31032113 relations (27987375 unique)
Msieve: matrix is 681117 x 681342 (229.5 MB)

Sieving start time : 2022/01/04 23:06:35
Sieving end time  : 2022/01/05 00:28:19

Total sieving time: 1hrs 21min 44secs.

Total relation processing time: 0hrs 6min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

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)

10178+3149

c155

name 名前Ignacio Santos
date 日付January 15, 2022 23:17:42 UTC 2022 年 1 月 16 日 (日) 8 時 17 分 42 秒 (日本時間)
composite number 合成数
26636770990874108440460983717157825334179920472256703301597005210072033024440469213749222690209584077095258976972792465761665170636232119261454868721333781<155>
prime factors 素因数
1673947723880351611763274668991162177927695150147<49>
15912546497645597313555192042466979458970879561472654360665498011425818997643301215259665118345513284033223<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4111623564
Step 1 took 26500ms
Step 2 took 12125ms
********** Factor found in step 2: 1673947723880351611763274668991162177927695150147
Found prime factor of 49 digits: 1673947723880351611763274668991162177927695150147
Prime cofactor 15912546497645597313555192042466979458970879561472654360665498011425818997643301215259665118345513284033223 has 107 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 2, 2022 23:03:33 UTC 2022 年 1 月 3 日 (月) 8 時 3 分 33 秒 (日本時間)

10181+3149

c125

name 名前Ignacio Santos
date 日付January 5, 2022 15:02:20 UTC 2022 年 1 月 6 日 (木) 0 時 2 分 20 秒 (日本時間)
composite number 合成数
87218485690733945911216110943482803238256219248714161338119708600857647410581062507172391081855382872034330101162703973124961<125>
prime factors 素因数
3949450200956382033915517776477101140019<40>
22083703111287107510117965039144082046894619512105518675963618245486511118787956603419<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3442712972
Step 1 took 4796ms
Step 2 took 2969ms
********** Factor found in step 2: 3949450200956382033915517776477101140019
Found prime factor of 40 digits: 3949450200956382033915517776477101140019
Prime cofactor 22083703111287107510117965039144082046894619512105518675963618245486511118787956603419 has 86 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)

10183+3149

c135

name 名前Ray Chandler
date 日付January 30, 2022 05:56:04 UTC 2022 年 1 月 30 日 (日) 14 時 56 分 4 秒 (日本時間)
composite number 合成数
162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301<135>
prime factors 素因数
43908064340476207546865938737674715524832501424432369873<56>
3704351370344600933051238063808112332444141920790602956343211923075328863987037<79>
factorization results 素因数分解の結果
01/29/22 17:50:02, 
01/29/22 17:50:02, ****************************
01/29/22 17:50:02, Starting factorization of 222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222292
01/29/22 17:50:02, using pretesting plan: normal
01/29/22 17:50:02, using specified qs/gnfs crossover of 100 digits
01/29/22 17:50:02, using specified qs/snfs crossover of 75 digits
01/29/22 17:50:02, ****************************
01/29/22 17:50:02, div: found prime factor = 2
01/29/22 17:50:02, div: found prime factor = 2
01/29/22 17:50:02, rho: x^2 + 3, starting 1000 iterations on C182
01/29/22 17:50:02, rho: x^2 + 2, starting 1000 iterations on C182
01/29/22 17:50:02, rho: x^2 + 1, starting 1000 iterations on C182
01/29/22 17:50:02, nfs: input divides 10^184 + 3140
01/29/22 17:50:02, nfs: using supplied cofactor: 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573
01/29/22 17:50:02, nfs: input divides 10^184 + 3140
01/29/22 17:50:02, nfs: using supplied cofactor: 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573
01/29/22 17:50:02, nfs: commencing snfs on c182: 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573
01/29/22 17:50:02, pm1: starting B1 = 150K, B2 = gmp-ecm default on C182
01/29/22 17:50:03, prp15 = 179793416541467
01/29/22 17:50:03, nfs: input divides 10^184 + 3140
01/29/22 17:50:03, nfs: using supplied cofactor: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:03, nfs: commencing snfs on c168: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:03, current ECM pretesting depth: 0.00
01/29/22 17:50:03, scheduled 30 curves at B1=2000 toward target pretesting depth of 40.21
01/29/22 17:50:03, ecm: commencing 48 curves using AVX-ECM method on 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119, B1=2k, B2=200k
01/29/22 17:50:03, ecm: finished 384 curves using AVX-ECM method on C168 input, B1=2k, B2=200k
01/29/22 17:50:03, nfs: input divides 10^184 + 3140
01/29/22 17:50:03, nfs: using supplied cofactor: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:03, nfs: commencing snfs on c168: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:03, current ECM pretesting depth: 17.27
01/29/22 17:50:03, scheduled 74 curves at B1=11000 toward target pretesting depth of 40.21
01/29/22 17:50:03, ecm: commencing 96 curves using AVX-ECM method on 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119, B1=11k, B2=1100k
01/29/22 17:50:04, ecm: finished 384 curves using AVX-ECM method on C168 input, B1=11k, B2=1100k
01/29/22 17:50:04, nfs: input divides 10^184 + 3140
01/29/22 17:50:04, nfs: using supplied cofactor: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:04, nfs: commencing snfs on c168: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:04, current ECM pretesting depth: 21.28
01/29/22 17:50:04, scheduled 214 curves at B1=50000 toward target pretesting depth of 40.21
01/29/22 17:50:04, ecm: commencing 240 curves using AVX-ECM method on 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119, B1=50k, B2=5M
01/29/22 17:50:05, ecm: finished 384 curves using AVX-ECM method on C168 input, B1=50k, B2=5M
01/29/22 17:50:05, nfs: input divides 10^184 + 3140
01/29/22 17:50:05, nfs: using supplied cofactor: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:05, nfs: commencing snfs on c168: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:05, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C168
01/29/22 17:50:06, nfs: input divides 10^184 + 3140
01/29/22 17:50:06, nfs: using supplied cofactor: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:06, nfs: commencing snfs on c168: 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119
01/29/22 17:50:06, current ECM pretesting depth: 25.62
01/29/22 17:50:06, scheduled 430 curves at B1=250000 toward target pretesting depth of 40.21
01/29/22 17:50:08, ecm: commencing 432 curves using AVX-ECM method on 308996606350947189882232581262000864800097759390927986325305436011913790182909875446083598675220719048353908991864916318500978430299062051509235041793769495878584163119, B1=250k, B2=25M
01/29/22 17:50:11, ecm: finished 0 curves using AVX-ECM method on C168 input, B1=250k, B2=25M
01/29/22 17:50:12, prp34 = 1899753457028325971533699570353419 (curve=264 stg=2 B1=250000 B2=25000000 sigma=4199486211 thread=33 vecpos=0)
01/29/22 17:50:12, nfs: input divides 10^184 + 3140
01/29/22 17:50:12, nfs: using supplied cofactor: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:12, nfs: commencing snfs on c135: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:12, current ECM pretesting depth: 25.62
01/29/22 17:50:12, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.31
01/29/22 17:50:13, ecm: commencing 432 curves using AVX-ECM method on 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301, B1=250k, B2=25M
01/29/22 17:50:20, ecm: finished 768 curves using AVX-ECM method on C135 input, B1=250k, B2=25M
01/29/22 17:50:20, nfs: input divides 10^184 + 3140
01/29/22 17:50:20, nfs: using supplied cofactor: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:20, nfs: commencing snfs on c135: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:20, pm1: starting B1 = 15M, B2 = gmp-ecm default on C135
01/29/22 17:50:23, nfs: input divides 10^184 + 3140
01/29/22 17:50:23, nfs: using supplied cofactor: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:23, nfs: commencing snfs on c135: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:23, current ECM pretesting depth: 30.81
01/29/22 17:50:23, scheduled 271 curves at B1=1000000 toward target pretesting depth of 32.31
01/29/22 17:50:25, ecm: commencing 288 curves using AVX-ECM method on 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301, B1=1M, B2=100M
01/29/22 17:50:40, ecm: finished 384 curves using AVX-ECM method on C135 input, B1=1M, B2=100M
01/29/22 17:50:41, nfs: input divides 10^184 + 3140
01/29/22 17:50:41, nfs: using supplied cofactor: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:41, nfs: commencing snfs on c135: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:41, final ECM pretested depth: 32.93
01/29/22 17:50:41, scheduler: switching to sieve method
01/29/22 17:50:41, nfs: commencing nfs on c135: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:41, nfs: input divides 10^184 + 3140
01/29/22 17:50:41, nfs: using supplied cofactor: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:41, nfs: commencing snfs on c135: 162650898308821945818839074356561068443274169419675298072289375404863598376201666867643945043303142628611136220792064330395997461336301
01/29/22 17:50:42, test: fb generation took 1.2423 seconds
01/29/22 17:50:42, test: commencing test sieving of polynomial 0 on the algebraic side over range 10500000-10501000
skew: 1.0629
c5: 500
c0: 157
Y1: -1
Y0: 1000000000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/29/22 17:51:43, nfs: parsing special-q from .dat file
01/29/22 17:51:43, test: new best estimated total sieving time = 2h 10m 39s (with 48 threads)
01/29/22 17:51:44, test: fb generation took 1.2108 seconds
01/29/22 17:51:44, test: commencing test sieving of polynomial 1 on the algebraic side over range 10500000-10501000
skew: 5.3938
c5: 4
c0: 3925
Y1: -1
Y0: 5000000000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/29/22 17:52:44, nfs: parsing special-q from .dat file
01/29/22 17:52:44, test: estimated total sieving time = 2h 16m 18s (with 48 threads)
01/29/22 17:52:46, test: fb generation took 1.9970 seconds
01/29/22 17:52:46, test: commencing test sieving of polynomial 2 on the algebraic side over range 11000000-11001000
skew: 0.9893
c6: 500
c0: 157
Y1: -1
Y0: 1000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/29/22 17:53:32, nfs: parsing special-q from .dat file
01/29/22 17:53:32, test: estimated total sieving time = 2h 40m 25s (with 48 threads)
01/29/22 17:53:33, test: fb generation took 1.2409 seconds
01/29/22 17:53:33, test: commencing test sieving of polynomial 0 on the rational side over range 10500000-10501000
skew: 1.0629
c5: 500
c0: 157
Y1: -1
Y0: 1000000000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 54
mfba: 54
lpbr: 27
lpba: 27
rlambda: 2.60
alambda: 2.60
01/29/22 17:54:36, nfs: parsing special-q from .dat file
01/29/22 17:54:36, test: new best estimated total sieving time = 3h 27m 51s (with 48 threads)
01/29/22 17:54:37, nfs: commencing lattice sieving with 48 threads
01/29/22 17:57:25, nfs: commencing lattice sieving with 48 threads
01/29/22 18:00:04, nfs: commencing lattice sieving with 48 threads
01/29/22 18:02:41, nfs: commencing lattice sieving with 48 threads
01/29/22 18:05:21, nfs: commencing lattice sieving with 48 threads
01/29/22 18:08:01, nfs: commencing lattice sieving with 48 threads
01/29/22 18:10:42, nfs: commencing lattice sieving with 48 threads
01/29/22 18:13:26, nfs: commencing lattice sieving with 48 threads
01/29/22 18:16:03, nfs: commencing lattice sieving with 48 threads
01/29/22 18:18:40, nfs: commencing lattice sieving with 48 threads
01/29/22 18:21:27, nfs: commencing lattice sieving with 48 threads
01/29/22 18:24:03, nfs: commencing lattice sieving with 48 threads
01/29/22 18:26:45, nfs: commencing lattice sieving with 48 threads
01/29/22 18:29:36, nfs: commencing lattice sieving with 48 threads
01/29/22 18:32:22, nfs: commencing lattice sieving with 48 threads
01/29/22 18:35:05, nfs: commencing lattice sieving with 48 threads
01/29/22 18:37:47, nfs: commencing lattice sieving with 48 threads
01/29/22 18:40:32, nfs: commencing lattice sieving with 48 threads
01/29/22 18:43:16, nfs: commencing lattice sieving with 48 threads
01/29/22 18:46:01, nfs: commencing lattice sieving with 48 threads
01/29/22 18:48:42, nfs: commencing lattice sieving with 48 threads
01/29/22 18:51:21, nfs: commencing lattice sieving with 48 threads
01/29/22 18:54:20, nfs: commencing lattice sieving with 48 threads
01/29/22 18:57:00, nfs: commencing lattice sieving with 48 threads
01/29/22 18:59:42, nfs: commencing lattice sieving with 48 threads
01/29/22 19:02:31, nfs: commencing lattice sieving with 48 threads
01/29/22 19:05:15, nfs: commencing lattice sieving with 48 threads
01/29/22 19:07:55, nfs: commencing lattice sieving with 48 threads
01/29/22 19:10:46, nfs: commencing lattice sieving with 48 threads
01/29/22 19:13:29, nfs: commencing lattice sieving with 48 threads
01/29/22 19:16:15, nfs: commencing lattice sieving with 48 threads
01/29/22 19:19:04, nfs: commencing lattice sieving with 48 threads
01/29/22 19:21:51, nfs: commencing lattice sieving with 48 threads
01/29/22 19:24:29, nfs: commencing lattice sieving with 48 threads
01/29/22 19:27:26, nfs: commencing lattice sieving with 48 threads
01/29/22 19:30:05, nfs: commencing lattice sieving with 48 threads
01/29/22 19:32:58, nfs: commencing lattice sieving with 48 threads
01/29/22 19:35:33, nfs: commencing lattice sieving with 48 threads
01/29/22 19:38:22, nfs: commencing lattice sieving with 48 threads
01/29/22 19:41:01, nfs: commencing lattice sieving with 48 threads
01/29/22 19:43:49, nfs: commencing lattice sieving with 48 threads
01/29/22 19:46:31, nfs: commencing lattice sieving with 48 threads
01/29/22 19:49:17, nfs: commencing lattice sieving with 48 threads
01/29/22 19:52:11, nfs: commencing lattice sieving with 48 threads
01/29/22 19:55:09, nfs: commencing lattice sieving with 48 threads
01/29/22 19:57:56, nfs: commencing lattice sieving with 48 threads
01/29/22 20:00:43, nfs: commencing lattice sieving with 48 threads
01/29/22 20:03:24, nfs: commencing msieve filtering
01/29/22 20:05:24, nfs: raising min_rels by 5.00 percent to 10682324
01/29/22 20:05:24, nfs: commencing lattice sieving with 48 threads
01/29/22 20:08:10, nfs: commencing lattice sieving with 48 threads
01/29/22 20:10:56, nfs: commencing lattice sieving with 48 threads
01/29/22 20:13:53, nfs: commencing msieve filtering
01/29/22 20:15:56, nfs: raising min_rels by 5.00 percent to 11323137
01/29/22 20:15:56, nfs: commencing lattice sieving with 48 threads
01/29/22 20:18:51, nfs: commencing lattice sieving with 48 threads
01/29/22 20:21:38, nfs: commencing lattice sieving with 48 threads
01/29/22 20:24:27, nfs: commencing msieve filtering
01/29/22 20:26:36, nfs: raising min_rels by 5.00 percent to 11951173
01/29/22 20:26:36, nfs: commencing lattice sieving with 48 threads
01/29/22 20:29:19, nfs: commencing lattice sieving with 48 threads
01/29/22 20:32:42, nfs: commencing lattice sieving with 48 threads
01/29/22 20:35:27, nfs: commencing msieve filtering
01/29/22 20:37:46, nfs: raising min_rels by 5.00 percent to 12587115
01/29/22 20:37:46, nfs: commencing lattice sieving with 48 threads
01/29/22 20:40:35, nfs: commencing lattice sieving with 48 threads
01/29/22 20:43:30, nfs: commencing lattice sieving with 48 threads
01/29/22 20:46:11, nfs: commencing lattice sieving with 48 threads
01/29/22 20:48:55, nfs: commencing msieve filtering
01/29/22 20:52:29, nfs: commencing msieve linear algebra
01/29/22 21:07:19, nfs: commencing msieve sqrt
01/29/22 21:08:52, prp56 = 43908064340476207546865938737674715524832501424432369873
01/29/22 21:08:52, prp79 = 3704351370344600933051238063808112332444141920790602956343211923075328863987037
01/29/22 21:08:52, NFS elapsed time = 11891.3181 seconds.
01/29/22 21:08:52, 
01/29/22 21:08:52, 
01/29/22 21:08:52, Total factoring time = 11930.1123 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 21:18:56 UTC 2022 年 1 月 6 日 (木) 6 時 18 分 56 秒 (日本時間)

10184+3149

c171

name 名前Bob Backstrom
date 日付January 15, 2022 12:59:42 UTC 2022 年 1 月 15 日 (土) 21 時 59 分 42 秒 (日本時間)
composite number 合成数
348137730397013332005803711307475827026123912857030001989193808268721024686957631758833931698274628780369558210860975733974549348939670044752352211573634099186591902997563<171>
prime factors 素因数
61676715308711048433822018135301838132721474089322556985724224888785428349<74>
5644556923216099403078991126579744548145113403532033441679464294745385987236778371575436627748887<97>
factorization results 素因数分解の結果
Number: n
N=348137730397013332005803711307475827026123912857030001989193808268721024686957631758833931698274628780369558210860975733974549348939670044752352211573634099186591902997563  ( 171 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Jan 15 23:54:12 2022  p74 factor: 61676715308711048433822018135301838132721474089322556985724224888785428349
Sat Jan 15 23:54:12 2022  p97 factor: 5644556923216099403078991126579744548145113403532033441679464294745385987236778371575436627748887
Sat Jan 15 23:54:12 2022  elapsed time 00:27:25 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 10^184+314 = 2(182)92
#
n: 348137730397013332005803711307475827026123912857030001989193808268721024686957631758833931698274628780369558210860975733974549348939670044752352211573634099186591902997563
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: 785
skew: 2.50
# Murphy_E = 5.814e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3397140 hash collisions in 29773203 relations (28140151 unique)
Msieve: matrix is 973998 x 974223 (338.2 MB)

Sieving start time : 2022/01/15 20:09:18
Sieving end time  : 2022/01/15 23:24:09

Total sieving time: 3hrs 14min 51secs.

Total relation processing time: 0hrs 14min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 57sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 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 21:46:40 UTC 2022 年 1 月 6 日 (木) 6 時 46 分 40 秒 (日本時間)

10188+3149

c187

name 名前Bob Backstrom
date 日付January 6, 2022 05:48:02 UTC 2022 年 1 月 6 日 (木) 14 時 48 分 2 秒 (日本時間)
composite number 合成数
5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573<187>
prime factors 素因数
11332067979710949138060513934617314441709749<44>
490250814370534951204545603588538805186231447389982006489950263521819715987748075922711942142678976152106843705514277791402418993775719184570177<144>
factorization results 素因数分解の結果
Number: n
N=5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Jan  6 16:43:09 2022  p44 factor: 11332067979710949138060513934617314441709749
Thu Jan  6 16:43:09 2022  p144 factor: 490250814370534951204545603588538805186231447389982006489950263521819715987748075922711942142678976152106843705514277791402418993775719184570177
Thu Jan  6 16:43:09 2022  elapsed time 00:36:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 10^188+314 = 2(186)92
#
n: 5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573
m: 10000000000000000000000000000000000000
deg: 5
c5: 500
c0: 157
skew: 0.79
# Murphy_E = 3.391e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3805550 hash collisions in 29093074 relations (26854238 unique)
Msieve: matrix is 1241918 x 1242143 (430.4 MB)

Sieving start time : 2022/01/06 11:19:47
Sieving end time  : 2022/01/06 16:06:26

Total sieving time: 4hrs 46min 39secs.

Total relation processing time: 0hrs 26min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
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)

10189+3149

c188

name 名前Bob Backstrom
date 日付January 9, 2022 00:20:50 UTC 2022 年 1 月 9 日 (日) 9 時 20 分 50 秒 (日本時間)
composite number 合成数
55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573<188>
prime factors 素因数
16516982383441192774430960418010661525618999071452423167710127<62>
3363541491165589103186885657329542915519208702804250646136537934462086247942772064101239986818880558017203873354058833009939099<127>
factorization results 素因数分解の結果
Number: n
N=55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573  ( 188 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Jan  9 10:53:07 2022  p62 factor: 16516982383441192774430960418010661525618999071452423167710127
Sun Jan  9 10:53:07 2022  p127 factor: 3363541491165589103186885657329542915519208702804250646136537934462086247942772064101239986818880558017203873354058833009939099
Sun Jan  9 10:53:07 2022  elapsed time 00:33:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 10^189+314 = 2(187)92
#
n: 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573
m: 50000000000000000000000000000000000000
deg: 5
c5: 8
c0: 785
skew: 2.50
# Murphy_E = 3.632e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3918097 hash collisions in 30943077 relations (28761957 unique)
Msieve: matrix is 1201873 x 1202098 (416.2 MB)

Sieving start time : 2022/01/09 03:11:08
Sieving end time  : 2022/01/09 09:53:35

Total sieving time: 6hrs 42min 27secs.

Total relation processing time: 0hrs 24min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
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 16:50:09 UTC 2022 年 1 月 7 日 (金) 1 時 50 分 9 秒 (日本時間)

10190+3149

c153

name 名前Ray Chandler
date 日付February 1, 2022 08:28:21 UTC 2022 年 2 月 1 日 (火) 17 時 28 分 21 秒 (日本時間)
composite number 合成数
315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451<153>
prime factors 素因数
3803315839497396292443399396539632476467<40>
84917537554731113936698629550943216991475854812747<50>
976305185587327325663534174573792140853577680048740352560808699<63>
factorization results 素因数分解の結果
01/31/22 22:53:40, 
01/31/22 22:53:40, ****************************
01/31/22 22:53:40, Starting factorization of 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222292
01/31/22 22:53:40, using pretesting plan: normal
01/31/22 22:53:40, using specified qs/gnfs crossover of 100 digits
01/31/22 22:53:40, using specified qs/snfs crossover of 75 digits
01/31/22 22:53:40, ****************************
01/31/22 22:53:40, div: found prime factor = 2
01/31/22 22:53:40, div: found prime factor = 2
01/31/22 22:53:40, div: found prime factor = 3
01/31/22 22:53:40, div: found prime factor = 3
01/31/22 22:53:40, div: found prime factor = 19
01/31/22 22:53:40, rho: x^2 + 3, starting 1000 iterations on C187
01/31/22 22:53:40, prp11 = 71229833777
01/31/22 22:53:40, rho: x^2 + 3, starting 1000 iterations on C176
01/31/22 22:53:40, rho: x^2 + 2, starting 1000 iterations on C176
01/31/22 22:53:40, rho: x^2 + 1, starting 1000 iterations on C176
01/31/22 22:53:40, nfs: input divides 10^191 + 3140
01/31/22 22:53:40, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:40, nfs: input divides 10^191 + 3140
01/31/22 22:53:40, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:40, nfs: commencing snfs on c176: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:40, pm1: starting B1 = 150K, B2 = gmp-ecm default on C176
01/31/22 22:53:40, nfs: input divides 10^191 + 3140
01/31/22 22:53:40, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:40, nfs: commencing snfs on c176: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:40, current ECM pretesting depth: 0.00
01/31/22 22:53:40, scheduled 30 curves at B1=2000 toward target pretesting depth of 42.12
01/31/22 22:53:41, ecm: commencing 48 curves using AVX-ECM method on 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319, B1=2k, B2=200k
01/31/22 22:53:41, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=2k, B2=200k
01/31/22 22:53:41, nfs: input divides 10^191 + 3140
01/31/22 22:53:41, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:41, nfs: commencing snfs on c176: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:41, current ECM pretesting depth: 17.27
01/31/22 22:53:41, scheduled 74 curves at B1=11000 toward target pretesting depth of 42.12
01/31/22 22:53:41, ecm: commencing 96 curves using AVX-ECM method on 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319, B1=11k, B2=1100k
01/31/22 22:53:41, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=11k, B2=1100k
01/31/22 22:53:41, nfs: input divides 10^191 + 3140
01/31/22 22:53:41, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:41, nfs: commencing snfs on c176: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:41, current ECM pretesting depth: 21.28
01/31/22 22:53:41, scheduled 214 curves at B1=50000 toward target pretesting depth of 42.12
01/31/22 22:53:42, ecm: commencing 240 curves using AVX-ECM method on 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319, B1=50k, B2=5M
01/31/22 22:53:43, ecm: finished 384 curves using AVX-ECM method on C176 input, B1=50k, B2=5M
01/31/22 22:53:43, nfs: input divides 10^191 + 3140
01/31/22 22:53:43, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:43, nfs: commencing snfs on c176: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:43, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C176
01/31/22 22:53:44, nfs: input divides 10^191 + 3140
01/31/22 22:53:44, nfs: using supplied cofactor: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:44, nfs: commencing snfs on c176: 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319
01/31/22 22:53:44, current ECM pretesting depth: 25.62
01/31/22 22:53:44, scheduled 430 curves at B1=250000 toward target pretesting depth of 42.12
01/31/22 22:53:45, ecm: commencing 432 curves using AVX-ECM method on 45610985253130797899894457562012134403929242205757857236237066924325149029174645156292949848825854546760147821997954709416406943314252934308163733746500246107193765617467362319, B1=250k, B2=25M
01/31/22 22:53:48, ecm: finished 0 curves using AVX-ECM method on C176 input, B1=250k, B2=25M
01/31/22 22:53:49, prp24 = 144651877029500776632269 (curve=29 stg=2 B1=250000 B2=25000000 sigma=4179004782 thread=3 vecpos=5)
01/31/22 22:53:49, nfs: input divides 10^191 + 3140
01/31/22 22:53:49, nfs: using supplied cofactor: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:53:49, nfs: commencing snfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:53:49, current ECM pretesting depth: 25.62
01/31/22 22:53:49, scheduled 430 curves at B1=250000 toward target pretesting depth of 36.62
01/31/22 22:53:49, ecm: commencing 432 curves using AVX-ECM method on 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451, B1=250k, B2=25M
01/31/22 22:53:56, ecm: finished 768 curves using AVX-ECM method on C153 input, B1=250k, B2=25M
01/31/22 22:53:57, nfs: input divides 10^191 + 3140
01/31/22 22:53:57, nfs: using supplied cofactor: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:53:57, nfs: commencing snfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:53:57, pm1: starting B1 = 15M, B2 = gmp-ecm default on C153
01/31/22 22:54:00, nfs: input divides 10^191 + 3140
01/31/22 22:54:00, nfs: using supplied cofactor: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:54:00, nfs: commencing snfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:54:00, current ECM pretesting depth: 30.81
01/31/22 22:54:00, scheduled 904 curves at B1=1000000 toward target pretesting depth of 36.62
01/31/22 22:54:02, ecm: commencing 912 curves using AVX-ECM method on 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451, B1=1M, B2=100M
01/31/22 22:54:42, ecm: finished 1152 curves using AVX-ECM method on C153 input, B1=1M, B2=100M
01/31/22 22:54:43, nfs: input divides 10^191 + 3140
01/31/22 22:54:43, nfs: using supplied cofactor: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:54:43, nfs: commencing snfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:54:43, current ECM pretesting depth: 35.72
01/31/22 22:54:43, scheduled 420 curves at B1=3000000 toward target pretesting depth of 36.62
01/31/22 22:54:45, ecm: commencing 432 curves using AVX-ECM method on 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451, B1=3M, B2=300M
01/31/22 22:56:03, ecm: finished 768 curves using AVX-ECM method on C153 input, B1=3M, B2=300M
01/31/22 22:56:04, nfs: input divides 10^191 + 3140
01/31/22 22:56:04, nfs: using supplied cofactor: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:56:04, nfs: commencing snfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:56:04, final ECM pretested depth: 37.36
01/31/22 22:56:04, scheduler: switching to sieve method
01/31/22 22:56:04, nfs: commencing nfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:56:04, nfs: input divides 10^191 + 3140
01/31/22 22:56:04, nfs: using supplied cofactor: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:56:04, nfs: commencing snfs on c153: 315315543702407293867657768614221519164740275375437551864168334528002087980960946172506123411094745530587284922086661942194215885404962726117930536261451
01/31/22 22:56:06, test: fb generation took 1.4083 seconds
01/31/22 22:56:06, test: commencing test sieving of polynomial 0 on the rational side over range 12500000-12501000
skew: 4.2630
c5: 1
c0: 314
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 22:57:12, nfs: parsing special-q from .dat file
01/31/22 22:57:12, test: new best estimated total sieving time = 2h 7m 14s (with 48 threads)
01/31/22 22:57:13, test: fb generation took 1.4690 seconds
01/31/22 22:57:13, test: commencing test sieving of polynomial 1 on the rational side over range 13000000-13001000
skew: 8.5261
c5: 1
c0: 10048
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 22:58:32, nfs: parsing special-q from .dat file
01/31/22 22:58:32, test: estimated total sieving time = 2h 8m 30s (with 48 threads)
01/31/22 22:58:34, test: fb generation took 2.2463 seconds
01/31/22 22:58:34, test: commencing test sieving of polynomial 2 on the algebraic side over range 12500000-12501000
skew: 3.4824
c6: 8
c0: 3925
Y1: -1
Y0: 50000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 22:59:18, nfs: parsing special-q from .dat file
01/31/22 22:59:18, test: estimated total sieving time = 3h 26m 57s (with 48 threads)
01/31/22 22:59:18, nfs: commencing lattice sieving with 48 threads
01/31/22 23:01:58, nfs: commencing lattice sieving with 48 threads
01/31/22 23:04:29, nfs: commencing lattice sieving with 48 threads
01/31/22 23:07:06, nfs: commencing lattice sieving with 48 threads
01/31/22 23:09:45, nfs: commencing lattice sieving with 48 threads
01/31/22 23:12:25, nfs: commencing lattice sieving with 48 threads
01/31/22 23:15:02, nfs: commencing lattice sieving with 48 threads
01/31/22 23:17:41, nfs: commencing lattice sieving with 48 threads
01/31/22 23:20:21, nfs: commencing lattice sieving with 48 threads
01/31/22 23:23:05, nfs: commencing lattice sieving with 48 threads
01/31/22 23:25:41, nfs: commencing lattice sieving with 48 threads
01/31/22 23:28:20, nfs: commencing lattice sieving with 48 threads
01/31/22 23:30:57, nfs: commencing lattice sieving with 48 threads
01/31/22 23:33:31, nfs: commencing lattice sieving with 48 threads
01/31/22 23:36:15, nfs: commencing lattice sieving with 48 threads
01/31/22 23:38:55, nfs: commencing lattice sieving with 48 threads
01/31/22 23:41:33, nfs: commencing lattice sieving with 48 threads
01/31/22 23:44:15, nfs: commencing lattice sieving with 48 threads
01/31/22 23:46:54, nfs: commencing lattice sieving with 48 threads
01/31/22 23:49:38, nfs: commencing lattice sieving with 48 threads
01/31/22 23:52:23, nfs: commencing lattice sieving with 48 threads
01/31/22 23:55:01, nfs: commencing lattice sieving with 48 threads
01/31/22 23:57:40, nfs: commencing lattice sieving with 48 threads
02/01/22 00:00:31, nfs: commencing lattice sieving with 48 threads
02/01/22 00:03:22, nfs: commencing lattice sieving with 48 threads
02/01/22 00:06:08, nfs: commencing lattice sieving with 48 threads
02/01/22 00:08:55, nfs: commencing lattice sieving with 48 threads
02/01/22 00:11:41, nfs: commencing lattice sieving with 48 threads
02/01/22 00:14:21, nfs: commencing lattice sieving with 48 threads
02/01/22 00:17:04, nfs: commencing lattice sieving with 48 threads
02/01/22 00:19:46, nfs: commencing lattice sieving with 48 threads
02/01/22 00:22:28, nfs: commencing lattice sieving with 48 threads
02/01/22 00:25:10, nfs: commencing lattice sieving with 48 threads
02/01/22 00:28:01, nfs: commencing lattice sieving with 48 threads
02/01/22 00:30:44, nfs: commencing lattice sieving with 48 threads
02/01/22 00:33:25, nfs: commencing lattice sieving with 48 threads
02/01/22 00:36:09, nfs: commencing lattice sieving with 48 threads
02/01/22 00:38:52, nfs: commencing lattice sieving with 48 threads
02/01/22 00:41:32, nfs: commencing lattice sieving with 48 threads
02/01/22 00:44:18, nfs: commencing lattice sieving with 48 threads
02/01/22 00:46:57, nfs: commencing lattice sieving with 48 threads
02/01/22 00:49:43, nfs: commencing lattice sieving with 48 threads
02/01/22 00:52:25, nfs: commencing msieve filtering
02/01/22 00:54:25, nfs: raising min_rels by 5.00 percent to 10782768
02/01/22 00:54:25, nfs: commencing lattice sieving with 48 threads
02/01/22 00:57:07, nfs: commencing lattice sieving with 48 threads
02/01/22 00:59:45, nfs: commencing lattice sieving with 48 threads
02/01/22 01:02:27, nfs: commencing msieve filtering
02/01/22 01:04:35, nfs: raising min_rels by 5.00 percent to 11529906
02/01/22 01:04:35, nfs: commencing lattice sieving with 48 threads
02/01/22 01:07:14, nfs: commencing lattice sieving with 48 threads
02/01/22 01:09:57, nfs: commencing lattice sieving with 48 threads
02/01/22 01:12:38, nfs: commencing msieve filtering
02/01/22 01:14:54, nfs: raising min_rels by 5.00 percent to 12273646
02/01/22 01:14:54, nfs: commencing lattice sieving with 48 threads
02/01/22 01:17:39, nfs: commencing lattice sieving with 48 threads
02/01/22 01:20:27, nfs: commencing lattice sieving with 48 threads
02/01/22 01:23:12, nfs: commencing msieve filtering
02/01/22 01:25:34, nfs: raising min_rels by 5.00 percent to 13013044
02/01/22 01:25:34, nfs: commencing lattice sieving with 48 threads
02/01/22 01:28:15, nfs: commencing lattice sieving with 48 threads
02/01/22 01:31:07, nfs: commencing lattice sieving with 48 threads
02/01/22 01:33:52, nfs: commencing msieve filtering
02/01/22 01:37:36, nfs: commencing msieve linear algebra
02/01/22 01:53:50, nfs: commencing msieve sqrt
02/01/22 01:57:27, prp63 = 976305185587327325663534174573792140853577680048740352560808699
02/01/22 01:57:27, prp40 = 3803315839497396292443399396539632476467
02/01/22 01:57:27, prp50 = 84917537554731113936698629550943216991475854812747
02/01/22 01:57:27, NFS elapsed time = 10882.7325 seconds.
02/01/22 01:57:27, 
02/01/22 01:57:27, 
02/01/22 01:57:27, Total factoring time = 11027.4756 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 17:12:21 UTC 2022 年 1 月 7 日 (金) 2 時 12 分 21 秒 (日本時間)

10191+3149

c164

name 名前Bob Backstrom
date 日付February 3, 2022 16:36:16 UTC 2022 年 2 月 4 日 (金) 1 時 36 分 16 秒 (日本時間)
composite number 合成数
47430375832418046374120494434015277698777695547690878063592137038490754012045259471715637623524541326813563026655208571464692824619009307271044159530308575028039561<164>
prime factors 素因数
75943139146445551064329506045028514051495117<44>
624551162428976068849900027000112947156219904858312863057775112501288404127451176650378774367401971909595433374476617133<120>
factorization results 素因数分解の結果
Number: n
N=47430375832418046374120494434015277698777695547690878063592137038490754012045259471715637623524541326813563026655208571464692824619009307271044159530308575028039561  ( 164 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Feb  4 03:06:37 2022  p44 factor: 75943139146445551064329506045028514051495117
Fri Feb  4 03:06:37 2022  p120 factor: 624551162428976068849900027000112947156219904858312863057775112501288404127451176650378774367401971909595433374476617133
Fri Feb  4 03:06:37 2022  elapsed time 00:39:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 10^191+314 = 2(189)92
#
n: 47430375832418046374120494434015277698777695547690878063592137038490754012045259471715637623524541326813563026655208571464692824619009307271044159530308575028039561
m: 100000000000000000000000000000000000000
deg: 5
c5: 5
c0: 157
skew: 1.99
# Murphy_E = 3.432e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5338398 hash collisions in 40588454 relations (36656605 unique)
Msieve: matrix is 1224228 x 1224457 (413.7 MB)

Sieving start time : 2022/02/03 19:09:42
Sieving end time  : 2022/02/04 02:25:30

Total sieving time: 7hrs 15min 48secs.

Total relation processing time: 0hrs 27min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
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)
403e62350Ignacio SantosJanuary 8, 2022 09:41:44 UTC 2022 年 1 月 8 日 (土) 18 時 41 分 44 秒 (日本時間)

10193+3149

c171

name 名前Bob Backstrom
date 日付January 15, 2022 09:12:58 UTC 2022 年 1 月 15 日 (土) 18 時 12 分 58 秒 (日本時間)
composite number 合成数
156400391355489150056850325560264311418770518324237639681893913129126493396121041697557317757690250042891506167261080147385580499690856942997886041911097972928078917253593<171>
prime factors 素因数
12776233650653801451233342282562431495767<41>
11232566437344910297440271269641131834723635587219246985880201<62>
1089823062083467360352130409250870260156936053350854287139468421888279<70>
factorization results 素因数分解の結果
Number: n
N=156400391355489150056850325560264311418770518324237639681893913129126493396121041697557317757690250042891506167261080147385580499690856942997886041911097972928078917253593  ( 171 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Jan 15 20:05:18 2022  found factor: 12776233650653801451233342282562431495767
Sat Jan 15 20:07:22 2022  p41 factor: 12776233650653801451233342282562431495767
Sat Jan 15 20:07:22 2022  p62 factor: 11232566437344910297440271269641131834723635587219246985880201
Sat Jan 15 20:07:22 2022  p70 factor: 1089823062083467360352130409250870260156936053350854287139468421888279
Sat Jan 15 20:07:22 2022  elapsed time 01:00:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 10^193+314 = 2(191)92
#
n: 156400391355489150056850325560264311418770518324237639681893913129126493396121041697557317757690250042891506167261080147385580499690856942997886041911097972928078917253593
m: 100000000000000000000000000000000000000
deg: 5
c5: 500
c0: 157
skew: 0.79
# Murphy_E = 2.113e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4457805 hash collisions in 31514989 relations (28681733 unique)
Msieve: matrix is 1542395 x 1542622 (535.2 MB)

Sieving start time : 2022/01/15 11:32:13
Sieving end time  : 2022/01/15 19:03:58

Total sieving time: 7hrs 31min 45secs.

Total relation processing time: 0hrs 46min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 15sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 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 8, 2022 12:05:59 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 59 秒 (日本時間)

10194+3149

c179

name 名前Bob Backstrom
date 日付January 13, 2022 19:55:37 UTC 2022 年 1 月 14 日 (金) 4 時 55 分 37 秒 (日本時間)
composite number 合成数
33829596321582211626739102105823830201061853282347647495759621598892035476079185961461059580289802502968066356478174863725324928964456123006257063152533648962920934727724207313131<179>
prime factors 素因数
73076811405659296523467521387605458746920764706741702847078731<62>
462932025506552712344918902745148816554719846892250825764141968452787695259169892331093462173120083398970580048882401<117>
factorization results 素因数分解の結果
Number: n
N=33829596321582211626739102105823830201061853282347647495759621598892035476079185961461059580289802502968066356478174863725324928964456123006257063152533648962920934727724207313131  ( 179 digits)
SNFS difficulty: 194 digits.
Divisors found:

Fri Jan 14 06:40:08 2022  p62 factor: 73076811405659296523467521387605458746920764706741702847078731
Fri Jan 14 06:40:08 2022  p117 factor: 462932025506552712344918902745148816554719846892250825764141968452787695259169892331093462173120083398970580048882401
Fri Jan 14 06:40:08 2022  elapsed time 00:59:02 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 10^194+314 = 2(192)92
#
n: 33829596321582211626739102105823830201061853282347647495759621598892035476079185961461059580289802502968066356478174863725324928964456123006257063152533648962920934727724207313131
m: 500000000000000000000000000000000000000
deg: 5
c5: 8
c0: 785
skew: 2.50
# Murphy_E = 2.259e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3759812 hash collisions in 30221591 relations (28163480 unique)
Msieve: matrix is 1559684 x 1559911 (541.8 MB)

Sieving start time : 2022/01/13 20:34:36
Sieving end time  : 2022/01/14 05:40:35

Total sieving time: 9hrs 5min 59secs.

Total relation processing time: 0hrs 46min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 50sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 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 19:38:06 UTC 2022 年 1 月 11 日 (火) 4 時 38 分 6 秒 (日本時間)

10195+3149

c155

name 名前Bob Backstrom
date 日付February 5, 2022 09:26:06 UTC 2022 年 2 月 5 日 (土) 18 時 26 分 6 秒 (日本時間)
composite number 合成数
56520088969533663843371254067321730340050057702521894390449365358124505690017962315657604703366219992003456047864279727307002786565165180547293666104516893<155>
prime factors 素因数
18748955295484854330229572664696113825383689141763<50>
3014572709720252987102313789368874615602531696053968397910203143901628576491201771478760767185699417852511<106>
factorization results 素因数分解の結果
Number: n
N=56520088969533663843371254067321730340050057702521894390449365358124505690017962315657604703366219992003456047864279727307002786565165180547293666104516893  ( 155 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sat Feb  5 20:20:41 2022  p50 factor: 18748955295484854330229572664696113825383689141763
Sat Feb  5 20:20:41 2022  p106 factor: 3014572709720252987102313789368874615602531696053968397910203143901628576491201771478760767185699417852511
Sat Feb  5 20:20:41 2022  elapsed time 00:43:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 10^195+314 = 2(193)92
#
n: 56520088969533663843371254067321730340050057702521894390449365358124505690017962315657604703366219992003456047864279727307002786565165180547293666104516893
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 314
skew: 3.16
# Murphy_E = 2.671e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4178051 hash collisions in 36668591 relations (33880149 unique)
Msieve: matrix is 1337041 x 1337266 (461.3 MB)

Sieving start time : 2022/02/05 13:11:35
Sieving end time  : 2022/02/05 19:36:43

Total sieving time: 6hrs 25min 8secs.

Total relation processing time: 0hrs 32min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
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)
403e62350Ignacio SantosJanuary 10, 2022 20:21:04 UTC 2022 年 1 月 11 日 (火) 5 時 21 分 4 秒 (日本時間)
4511e64480Ignacio SantosJanuary 31, 2022 21:11:24 UTC 2022 年 2 月 1 日 (火) 6 時 11 分 24 秒 (日本時間)

10196+3149

c167

name 名前Bob Backstrom
date 日付January 29, 2022 05:48:01 UTC 2022 年 1 月 29 日 (土) 14 時 48 分 1 秒 (日本時間)
composite number 合成数
47373465064505959181722939728600382315031081555145664921088611505806595685915321436424521237067674653961926820286488782418379876356272410687505273516895147810859683279<167>
prime factors 素因数
1821560472872427664323249276128635683539343509894436805895505365420303<70>
26007077870877659766741073799790611159064222246008748904201143433831729008729649922096481384361793<98>
factorization results 素因数分解の結果
Number: n
N=47373465064505959181722939728600382315031081555145664921088611505806595685915321436424521237067674653961926820286488782418379876356272410687505273516895147810859683279  ( 167 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sat Jan 29 16:42:27 2022  p70 factor: 1821560472872427664323249276128635683539343509894436805895505365420303
Sat Jan 29 16:42:27 2022  p98 factor: 26007077870877659766741073799790611159064222246008748904201143433831729008729649922096481384361793
Sat Jan 29 16:42:27 2022  elapsed time 00:52:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.285).
Factorization parameters were as follows:
#
# N = 10^196+314 = 2(194)92
#
n: 47373465064505959181722939728600382315031081555145664921088611505806595685915321436424521237067674653961926820286488782418379876356272410687505273516895147810859683279
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 157
skew: 1.99
# Murphy_E = 2.131e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5004323 hash collisions in 35880465 relations (31958740 unique)
Msieve: matrix is 1478453 x 1478679 (509.6 MB)

Sieving start time : 2022/01/29 08:56:20
Sieving end time  : 2022/01/29 15:49:14

Total sieving time: 6hrs 52min 54secs.

Total relation processing time: 0hrs 41min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
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 12, 2022 14:56:49 UTC 2022 年 1 月 12 日 (水) 23 時 56 分 49 秒 (日本時間)

10197+3149

c182

name 名前Bob Backstrom
date 日付January 18, 2022 21:32:40 UTC 2022 年 1 月 19 日 (水) 6 時 32 分 40 秒 (日本時間)
composite number 合成数
24272647841203973395244277396507781454501095138221070422332952569512556716666852877702193551637928941164503477817787008393228226165076530447205736985456074691927511077844611302710843<182>
prime factors 素因数
116549993776463828365301575364275508873667008263319039161147865486561<69>
208259537857698329820297592733272713388384547994600833270531208955548621754581012042846523167293299296924091857563<114>
factorization results 素因数分解の結果
Number: n
N=24272647841203973395244277396507781454501095138221070422332952569512556716666852877702193551637928941164503477817787008393228226165076530447205736985456074691927511077844611302710843  ( 182 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Jan 19 08:27:40 2022  p69 factor: 116549993776463828365301575364275508873667008263319039161147865486561
Wed Jan 19 08:27:40 2022  p114 factor: 208259537857698329820297592733272713388384547994600833270531208955548621754581012042846523167293299296924091857563
Wed Jan 19 08:27:40 2022  elapsed time 01:13:40 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 10^197+314 = 2(195)92
#
n: 24272647841203973395244277396507781454501095138221070422332952569512556716666852877702193551637928941164503477817787008393228226165076530447205736985456074691927511077844611302710843
m: 1000000000000000000000000000000000000000
deg: 5
c5: 50
c0: 157
skew: 1.26
# Murphy_E = 1.754e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4119794 hash collisions in 29849945 relations (27273888 unique)
Msieve: matrix is 1722371 x 1722596 (600.7 MB)

Sieving start time : 2022/01/19 00:21:15
Sieving end time  : 2022/01/19 07:13:25

Total relation processing time: 0hrs 58min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 32sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)
Total sieving time: 6hrs 52min 10secs.

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 12, 2022 20:21:12 UTC 2022 年 1 月 13 日 (木) 5 時 21 分 12 秒 (日本時間)

10198+3149

c156

name 名前Ignacio Santos
date 日付January 12, 2022 21:00:32 UTC 2022 年 1 月 13 日 (木) 6 時 0 分 32 秒 (日本時間)
composite number 合成数
774570738797105835989960395788081895876923661077845954691593517037973726940610491895341088718869417997923416922441150731235498837848935895770142452030697449<156>
prime factors 素因数
2918656493233693817882489103604171<34>
265386057109765796303730675176092410894347465925945841399845316798028358731227588749672849235768995975229634375039655704219<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1127662750
Step 1 took 7171ms
Step 2 took 1844ms
********** Factor found in step 2: 2918656493233693817882489103604171
Found prime factor of 34 digits: 2918656493233693817882489103604171
Prime cofactor 265386057109765796303730675176092410894347465925945841399845316798028358731227588749672849235768995975229634375039655704219 has 123 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)

10199+3149

c178

name 名前Bob Backstrom
date 日付January 19, 2022 18:13:31 UTC 2022 年 1 月 20 日 (木) 3 時 13 分 31 秒 (日本時間)
composite number 合成数
1590038697125580472409441421999545243410710704430450869082803435446158728642466093041027329063488992640072710453392758796973616323391431106036547507117142186908689836550485704733<178>
prime factors 素因数
45262299608074469579034908254117457289257632247398440311891753<62>
35129428042624881886256857150479009965599628772281380405225208524388805644715739139633404307072745767425141159752661<116>
factorization results 素因数分解の結果
Number: n
N=1590038697125580472409441421999545243410710704430450869082803435446158728642466093041027329063488992640072710453392758796973616323391431106036547507117142186908689836550485704733  ( 178 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Jan 20 04:47:29 2022  p62 factor: 45262299608074469579034908254117457289257632247398440311891753
Thu Jan 20 04:47:29 2022  p116 factor: 35129428042624881886256857150479009965599628772281380405225208524388805644715739139633404307072745767425141159752661
Thu Jan 20 04:47:29 2022  elapsed time 01:24:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 10^199+314 = 2(197)92
#
n: 1590038697125580472409441421999545243410710704430450869082803435446158728642466093041027329063488992640072710453392758796973616323391431106036547507117142186908689836550485704733
m: 5000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 785
skew: 2.50
# Murphy_E = 1.399e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4354179 hash collisions in 30274330 relations (27436556 unique)
Msieve: matrix is 1878066 x 1878291 (654.8 MB)

Sieving start time : 2022/01/19 19:47:05
Sieving end time  : 2022/01/20 03:22:25

Total sieving time: 7hrs 35min 20secs.

Total relation processing time: 1hrs 8min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 35sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 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 13, 2022 19:19:00 UTC 2022 年 1 月 14 日 (金) 4 時 19 分 0 秒 (日本時間)

10201+3149

c154

name 名前Ray Chandler
date 日付February 10, 2022 14:08:37 UTC 2022 年 2 月 10 日 (木) 23 時 8 分 37 秒 (日本時間)
composite number 合成数
4004375499447246069357484056671967352833839249294332477883917652363909314332542713646422553260938362794000802610031979032833730344361139126501430165592321<154>
prime factors 素因数
221981006668403531948138783249727930394833547867<48>
18039270834684539314527155570344581230792869072704311172469164471003466521888222698006518616863484559870163<107>
factorization results 素因数分解の結果
02/09/22 16:22:41, nfs: commencing nfs on c201: 222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222292
02/09/22 16:22:41, nfs: input divides 10^202 + 3140
02/09/22 16:22:41, nfs: using supplied cofactor: 4004375499447246069357484056671967352833839249294332477883917652363909314332542713646422553260938362794000802610031979032833730344361139126501430165592321
02/09/22 16:22:41, nfs: commencing snfs on c154: 4004375499447246069357484056671967352833839249294332477883917652363909314332542713646422553260938362794000802610031979032833730344361139126501430165592321
02/09/22 16:22:44, test: fb generation took 2.0613 seconds
02/09/22 16:22:44, test: commencing test sieving of polynomial 0 on the rational side over range 18000000-18001000
skew: 2.6499
c5: 5
c0: 157
Y1: -1
Y0: 10000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 16:24:10, nfs: parsing special-q from .dat file
02/09/22 16:24:10, test: new best estimated total sieving time = 6h 16m 6s (with 40 threads)
02/09/22 16:24:12, test: fb generation took 2.0633 seconds
02/09/22 16:24:12, test: commencing test sieving of polynomial 1 on the rational side over range 18000000-18001000
skew: 5.2600
c5: 5
c0: 5024
Y1: -1
Y0: 20000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 16:25:39, nfs: parsing special-q from .dat file
02/09/22 16:25:39, test: estimated total sieving time = 6h 56m 55s (with 40 threads)
02/09/22 16:25:42, test: fb generation took 3.0872 seconds
02/09/22 16:25:42, test: commencing test sieving of polynomial 2 on the algebraic side over range 17000000-17001000
skew: 1.0470
c6: 500
c0: 157
Y1: -1
Y0: 1000000000000000000000000000000000
rlim: 17000000
alim: 17000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/09/22 16:27:02, nfs: parsing special-q from .dat file
02/09/22 16:27:02, test: estimated total sieving time = 9h 50m 43s (with 40 threads)
02/09/22 16:27:02, nfs: commencing lattice sieving with 40 threads
02/09/22 16:30:54, nfs: commencing lattice sieving with 40 threads
02/09/22 16:34:54, nfs: commencing lattice sieving with 40 threads
02/09/22 16:38:47, nfs: commencing lattice sieving with 40 threads
02/09/22 16:42:49, nfs: commencing lattice sieving with 40 threads
02/09/22 16:46:44, nfs: commencing lattice sieving with 40 threads
02/09/22 16:50:38, nfs: commencing lattice sieving with 40 threads
02/09/22 16:54:34, nfs: commencing lattice sieving with 40 threads
02/09/22 16:58:36, nfs: commencing lattice sieving with 40 threads
02/09/22 17:02:32, nfs: commencing lattice sieving with 40 threads
02/09/22 17:06:27, nfs: commencing lattice sieving with 40 threads
02/09/22 17:10:21, nfs: commencing lattice sieving with 40 threads
02/09/22 17:14:17, nfs: commencing lattice sieving with 40 threads
02/09/22 17:18:11, nfs: commencing lattice sieving with 40 threads
02/09/22 17:22:04, nfs: commencing lattice sieving with 40 threads
02/09/22 17:26:06, nfs: commencing lattice sieving with 40 threads
02/09/22 17:30:05, nfs: commencing lattice sieving with 40 threads
02/09/22 17:34:04, nfs: commencing lattice sieving with 40 threads
02/09/22 17:37:57, nfs: commencing lattice sieving with 40 threads
02/09/22 17:41:52, nfs: commencing lattice sieving with 40 threads
02/09/22 17:45:50, nfs: commencing lattice sieving with 40 threads
02/09/22 17:49:47, nfs: commencing lattice sieving with 40 threads
02/09/22 17:53:45, nfs: commencing lattice sieving with 40 threads
02/09/22 17:57:43, nfs: commencing lattice sieving with 40 threads
02/09/22 18:01:37, nfs: commencing lattice sieving with 40 threads
02/09/22 18:05:37, nfs: commencing lattice sieving with 40 threads
02/09/22 18:09:37, nfs: commencing lattice sieving with 40 threads
02/09/22 18:13:34, nfs: commencing lattice sieving with 40 threads
02/09/22 18:17:34, nfs: commencing lattice sieving with 40 threads
02/09/22 18:21:37, nfs: commencing lattice sieving with 40 threads
02/09/22 18:25:38, nfs: commencing lattice sieving with 40 threads
02/09/22 18:29:40, nfs: commencing lattice sieving with 40 threads
02/09/22 18:33:42, nfs: commencing lattice sieving with 40 threads
02/09/22 18:37:44, nfs: commencing lattice sieving with 40 threads
02/09/22 18:41:39, nfs: commencing lattice sieving with 40 threads
02/09/22 18:45:39, nfs: commencing lattice sieving with 40 threads
02/09/22 18:49:42, nfs: commencing lattice sieving with 40 threads
02/09/22 18:53:58, nfs: commencing lattice sieving with 40 threads
02/09/22 18:57:59, nfs: commencing lattice sieving with 40 threads
02/09/22 19:01:57, nfs: commencing lattice sieving with 40 threads
02/09/22 19:05:57, nfs: commencing lattice sieving with 40 threads
02/09/22 19:10:03, nfs: commencing lattice sieving with 40 threads
02/09/22 19:14:09, nfs: commencing lattice sieving with 40 threads
02/09/22 19:18:27, nfs: commencing lattice sieving with 40 threads
02/09/22 19:22:25, nfs: commencing lattice sieving with 40 threads
02/09/22 19:26:25, nfs: commencing lattice sieving with 40 threads
02/09/22 19:30:29, nfs: commencing lattice sieving with 40 threads
02/09/22 19:34:38, nfs: commencing lattice sieving with 40 threads
02/09/22 19:38:43, nfs: commencing lattice sieving with 40 threads
02/09/22 19:42:50, nfs: commencing lattice sieving with 40 threads
02/09/22 19:46:48, nfs: commencing lattice sieving with 40 threads
02/09/22 19:50:49, nfs: commencing lattice sieving with 40 threads
02/09/22 19:54:44, nfs: commencing lattice sieving with 40 threads
02/09/22 19:58:49, nfs: commencing lattice sieving with 40 threads
02/09/22 20:02:54, nfs: commencing lattice sieving with 40 threads
02/09/22 20:07:09, nfs: commencing lattice sieving with 40 threads
02/09/22 20:11:07, nfs: commencing lattice sieving with 40 threads
02/09/22 20:15:05, nfs: commencing lattice sieving with 40 threads
02/09/22 20:19:10, nfs: commencing lattice sieving with 40 threads
02/09/22 20:23:17, nfs: commencing lattice sieving with 40 threads
02/09/22 20:27:20, nfs: commencing lattice sieving with 40 threads
02/09/22 20:31:33, nfs: commencing lattice sieving with 40 threads
02/09/22 20:35:37, nfs: commencing lattice sieving with 40 threads
02/09/22 20:39:43, nfs: commencing lattice sieving with 40 threads
02/09/22 20:43:55, nfs: commencing lattice sieving with 40 threads
02/09/22 20:48:02, nfs: commencing lattice sieving with 40 threads
02/09/22 20:52:15, nfs: commencing lattice sieving with 40 threads
02/09/22 20:56:34, nfs: commencing lattice sieving with 40 threads
02/09/22 21:00:36, nfs: commencing lattice sieving with 40 threads
02/09/22 21:04:42, nfs: commencing lattice sieving with 40 threads
02/09/22 21:08:58, nfs: commencing lattice sieving with 40 threads
02/09/22 21:13:05, nfs: commencing lattice sieving with 40 threads
02/09/22 21:17:18, nfs: commencing lattice sieving with 40 threads
02/09/22 21:21:29, nfs: commencing lattice sieving with 40 threads
02/09/22 21:25:33, nfs: commencing lattice sieving with 40 threads
02/09/22 21:29:42, nfs: commencing lattice sieving with 40 threads
02/09/22 21:33:41, nfs: commencing lattice sieving with 40 threads
02/09/22 21:37:45, nfs: commencing lattice sieving with 40 threads
02/09/22 21:41:57, nfs: commencing lattice sieving with 40 threads
02/09/22 21:46:07, nfs: commencing lattice sieving with 40 threads
02/09/22 21:50:06, nfs: commencing lattice sieving with 40 threads
02/09/22 21:54:14, nfs: commencing lattice sieving with 40 threads
02/09/22 21:58:16, nfs: commencing lattice sieving with 40 threads
02/09/22 22:02:22, nfs: commencing lattice sieving with 40 threads
02/09/22 22:06:43, nfs: commencing lattice sieving with 40 threads
02/09/22 22:10:51, nfs: commencing lattice sieving with 40 threads
02/09/22 22:15:03, nfs: commencing lattice sieving with 40 threads
02/09/22 22:19:12, nfs: commencing lattice sieving with 40 threads
02/09/22 22:23:16, nfs: commencing lattice sieving with 40 threads
02/09/22 22:27:23, nfs: commencing lattice sieving with 40 threads
02/09/22 22:31:41, nfs: commencing lattice sieving with 40 threads
02/09/22 22:35:57, nfs: commencing lattice sieving with 40 threads
02/09/22 22:40:06, nfs: commencing lattice sieving with 40 threads
02/09/22 22:44:40, nfs: commencing lattice sieving with 40 threads
02/09/22 22:48:49, nfs: commencing lattice sieving with 40 threads
02/09/22 22:52:55, nfs: commencing lattice sieving with 40 threads
02/09/22 22:57:03, nfs: commencing lattice sieving with 40 threads
02/09/22 23:01:14, nfs: commencing lattice sieving with 40 threads
02/09/22 23:05:33, nfs: commencing lattice sieving with 40 threads
02/09/22 23:09:43, nfs: commencing lattice sieving with 40 threads
02/09/22 23:14:04, nfs: commencing lattice sieving with 40 threads
02/09/22 23:18:15, nfs: commencing lattice sieving with 40 threads
02/09/22 23:22:27, nfs: commencing lattice sieving with 40 threads
02/09/22 23:26:44, nfs: commencing lattice sieving with 40 threads
02/09/22 23:30:51, nfs: commencing lattice sieving with 40 threads
02/09/22 23:35:03, nfs: commencing lattice sieving with 40 threads
02/09/22 23:39:23, nfs: commencing lattice sieving with 40 threads
02/09/22 23:43:48, nfs: commencing lattice sieving with 40 threads
02/09/22 23:47:59, nfs: commencing lattice sieving with 40 threads
02/09/22 23:52:02, nfs: commencing msieve filtering
02/09/22 23:56:16, nfs: raising min_rels by 5.00 percent to 22246676
02/09/22 23:56:16, nfs: commencing lattice sieving with 40 threads
02/10/22 00:00:33, nfs: commencing lattice sieving with 40 threads
02/10/22 00:04:53, nfs: commencing lattice sieving with 40 threads
02/10/22 00:09:01, nfs: commencing lattice sieving with 40 threads
02/10/22 00:13:14, nfs: commencing lattice sieving with 40 threads
02/10/22 00:17:25, nfs: commencing lattice sieving with 40 threads
02/10/22 00:21:34, nfs: commencing msieve filtering
02/10/22 00:26:06, nfs: raising min_rels by 5.00 percent to 23420064
02/10/22 00:26:06, nfs: commencing lattice sieving with 40 threads
02/10/22 00:30:25, nfs: commencing lattice sieving with 40 threads
02/10/22 00:34:37, nfs: commencing lattice sieving with 40 threads
02/10/22 00:38:49, nfs: commencing lattice sieving with 40 threads
02/10/22 00:42:58, nfs: commencing lattice sieving with 40 threads
02/10/22 00:47:15, nfs: commencing lattice sieving with 40 threads
02/10/22 00:51:35, nfs: commencing msieve filtering
02/10/22 00:56:18, nfs: raising min_rels by 5.00 percent to 24591081
02/10/22 00:56:18, nfs: commencing lattice sieving with 40 threads
02/10/22 01:00:29, nfs: commencing lattice sieving with 40 threads
02/10/22 01:04:40, nfs: commencing lattice sieving with 40 threads
02/10/22 01:08:59, nfs: commencing lattice sieving with 40 threads
02/10/22 01:13:24, nfs: commencing lattice sieving with 40 threads
02/10/22 01:17:32, nfs: commencing lattice sieving with 40 threads
02/10/22 01:21:46, nfs: commencing lattice sieving with 40 threads
02/10/22 01:25:59, nfs: commencing msieve filtering
02/10/22 01:33:14, nfs: commencing msieve linear algebra
02/10/22 02:24:14, nfs: commencing msieve sqrt
02/10/22 03:56:47, prp107 = 18039270834684539314527155570344581230792869072704311172469164471003466521888222698006518616863484559870163
02/10/22 03:56:47, C47 = 55494851132941258709723097161766894117416349652
02/10/22 03:56:47, prp48 = 221981006668403531948138783249727930394833547867
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 5218R CPU @ 2.10GHz
Detected L1 = 32768 bytes, L2 = 28835840 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)
403e62100ebinaDecember 29, 2021 03:50:01 UTC 2021 年 12 月 29 日 (水) 12 時 50 分 1 秒 (日本時間)
4511e64480Ignacio SantosJanuary 29, 2022 23:22:55 UTC 2022 年 1 月 30 日 (日) 8 時 22 分 55 秒 (日本時間)

10202+3149

c183

name 名前Bob Backstrom
date 日付January 22, 2022 02:24:18 UTC 2022 年 1 月 22 日 (土) 11 時 24 分 18 秒 (日本時間)
composite number 合成数
644405270956374044076652130002025015931007468766140606882808541455696938456517584290571650878760984492760905380059554717736627514096280004269610073859598877142422687976256949866506913<183>
prime factors 素因数
2756882714050515852590559131829321332677896548484294179<55>
233744173327413542581682132405641872331427053871793015859836272418753918817905912575503701580345120616547458878991049097061629547<129>
factorization results 素因数分解の結果
Number: n
N=644405270956374044076652130002025015931007468766140606882808541455696938456517584290571650878760984492760905380059554717736627514096280004269610073859598877142422687976256949866506913  ( 183 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Jan 22 13:19:36 2022  p55 factor: 2756882714050515852590559131829321332677896548484294179
Sat Jan 22 13:19:36 2022  p129 factor: 233744173327413542581682132405641872331427053871793015859836272418753918817905912575503701580345120616547458878991049097061629547
Sat Jan 22 13:19:36 2022  elapsed time 01:31:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 10^202+314 = 2(200)92
#
n: 644405270956374044076652130002025015931007468766140606882808541455696938456517584290571650878760984492760905380059554717736627514096280004269610073859598877142422687976256949866506913
m: 10000000000000000000000000000000000000000
deg: 5
c5: 50
c0: 157
skew: 1.26
# Murphy_E = 1.084e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6114500 hash collisions in 36091359 relations (31564618 unique)
Msieve: matrix is 1992614 x 1992841 (691.7 MB)

Sieving start time : 2022/01/21 22:57:36
Sieving end time  : 2022/01/22 11:47:08

Total sieving time: 12hrs 49min 32secs.

Total relation processing time: 1hrs 17min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 40sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,28,28,55,55,2.6,2.6,100000
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)
403e62100ebinaDecember 29, 2021 06:59:35 UTC 2021 年 12 月 29 日 (水) 15 時 59 分 35 秒 (日本時間)

10203+3149

c200

name 名前Bob Backstrom
date 日付January 23, 2022 04:56:46 UTC 2022 年 1 月 23 日 (日) 13 時 56 分 46 秒 (日本時間)
composite number 合成数
76103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103501<200>
prime factors 素因数
35398742361903967336799331377269113883511748277<47>
114284042900813144214474404083322254833395653187991491<54>
18811836974568586928225077039655816092472220499548386469616728155955511305295385981357035227843618643<101>
factorization results 素因数分解の結果
Number: n
N=7610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610351  ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jan 23 15:38:54 2022  found factor: 4045511390722664611350225748795662583077464526597534682243985581647282205016799973692213755609911007
Sun Jan 23 15:48:54 2022  p47 factor: 35398742361903967336799331377269113883511748277
Sun Jan 23 15:48:54 2022  p54 factor: 114284042900813144214474404083322254833395653187991491
Sun Jan 23 15:48:54 2022  p101 factor: 18811836974568586928225077039655816092472220499548386469616728155955511305295385981357035227843618643
Sun Jan 23 15:48:54 2022  elapsed time 02:14:06 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 10^203+314 = 2(201)92
#
n: 76103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103501
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 157
skew: 0.79
# Murphy_E = 8.103e-12
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, 42750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5443361 hash collisions in 32435792 relations (28362161 unique)
Msieve: matrix is 2374876 x 2375101 (825.1 MB)

Sieving start time : 2022/01/22 23:18:59
Sieving end time  : 2022/01/23 13:34:10

Total sieving time: 14hrs 15min 11secs.

Total relation processing time: 1hrs 50min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 20sec.

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)
403e62100ebinaDecember 29, 2021 09:12:50 UTC 2021 年 12 月 29 日 (水) 18 時 12 分 50 秒 (日本時間)

10204+3149

c174

name 名前Bob Backstrom
date 日付February 10, 2022 18:05:08 UTC 2022 年 2 月 11 日 (金) 3 時 5 分 8 秒 (日本時間)
composite number 合成数
902399315728741603769659765213665930068951117122428341138298009176524085155006942682686148878906714450274056723689859293156599470616502084244017562243690872018366570698317111<174>
prime factors 素因数
54758305009602825885360348492202848314322611<44>
6704058018221491453041900109680742184557604814415570784789530103<64>
2458164807155782368102485163132919065321444465334147874163657454267<67>
factorization results 素因数分解の結果
Number: n
N=902399315728741603769659765213665930068951117122428341138298009176524085155006942682686148878906714450274056723689859293156599470616502084244017562243690872018366570698317111  ( 174 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Feb 11 04:55:45 2022  found factor: 2458164807155782368102485163132919065321444465334147874163657454267
Fri Feb 11 04:57:56 2022  p44 factor: 54758305009602825885360348492202848314322611
Fri Feb 11 04:57:56 2022  p64 factor: 6704058018221491453041900109680742184557604814415570784789530103
Fri Feb 11 04:57:56 2022  p67 factor: 2458164807155782368102485163132919065321444465334147874163657454267
Fri Feb 11 04:57:56 2022  elapsed time 01:31:01 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 10^204+314 = 2(202)92
#
n: 902399315728741603769659765213665930068951117122428341138298009176524085155006942682686148878906714450274056723689859293156599470616502084244017562243690872018366570698317111
m: 10000000000000000000000000000000000
deg: 6
c6: 1
c0: 314
skew: 2.61
# Murphy_E = 1.19e-11
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4435649 hash collisions in 34565667 relations (31807291 unique)
Msieve: matrix is 1918083 x 1918308 (666.8 MB)

Sieving start time : 2022/02/10 15:38:41
Sieving end time  : 2022/02/11 03:26:20

Total sieving time: 11hrs 47min 39secs.

Total relation processing time: 1hrs 16min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 24sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17600000,17600000,28,28,56,56,2.6,2.6,100000
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)
403e62100ebinaDecember 29, 2021 12:34:07 UTC 2021 年 12 月 29 日 (水) 21 時 34 分 7 秒 (日本時間)
4511e64480Ignacio SantosFebruary 1, 2022 19:16:45 UTC 2022 年 2 月 2 日 (水) 4 時 16 分 45 秒 (日本時間)

10205+3149

c167

composite cofactor 合成数の残り
27014061905313788207056496481451633605962052425040684069995694944836094106734918226293596286816489626352152952186536794509108730231089341644490888253176535019238450979<167>

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)
403e62100ebinaDecember 29, 2021 15:33:11 UTC 2021 年 12 月 30 日 (木) 0 時 33 分 11 秒 (日本時間)
4511e64480Ignacio SantosFebruary 11, 2022 16:09:20 UTC 2022 年 2 月 12 日 (土) 1 時 9 分 20 秒 (日本時間)

10207+3149

c206

name 名前ebina
date 日付December 29, 2021 23:15:03 UTC 2021 年 12 月 30 日 (木) 8 時 15 分 3 秒 (日本時間)
composite number 合成数
55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573<206>
prime factors 素因数
37728642949736179945206602130821333<35>
1472503414171805813306248980833320615892315601572999209165800762470910377118161016363909551954804738428418835789257412971632301723724732128022595292134059362550918303717281<172>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3868113014 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573 (206 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3868113014
Step 1 took 6797ms
********** Factor found in step 1: 37728642949736179945206602130821333
Found probable prime factor of 35 digits: 37728642949736179945206602130821333
Probable prime cofactor 1472503414171805813306248980833320615892315601572999209165800762470910377118161016363909551954804738428418835789257412971632301723724732128022595292134059362550918303717281 has 172 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)

10208+3149

c190

composite cofactor 合成数の残り
2339459795726216022792644304090159723113946972799761898729625768010642496903168132900526042864171083053111488850839062142133548219977875255783732320542293676199743514834716533508205647055053<190>

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 29, 2022 11:20:22 UTC 2022 年 1 月 29 日 (土) 20 時 20 分 22 秒 (日本時間)

10211+3149

c191

composite cofactor 合成数の残り
10659023860526242143714434557028601574514037965180584155943810124463536813271647160918649388927729067108363065507543899637058747967923350678062396048255483686111138312015469218110479876846597<191>

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 DomanovFebruary 2, 2022 18:44:44 UTC 2022 年 2 月 3 日 (木) 3 時 44 分 44 秒 (日本時間)

10212+3149

c192

composite cofactor 合成数の残り
136561359286074579915691359924254962957300206326471498204295676966807920729296831663253484684015751144567302843837332917398259556508671621161324558896466264222830585728764843195550336037948537<192>

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 DomanovFebruary 2, 2022 18:44:33 UTC 2022 年 2 月 3 日 (木) 3 時 44 分 33 秒 (日本時間)

10213+3149

c163

composite cofactor 合成数の残り
3080044961886062364838972450114383519076899471110586152229918770646108745940827909241002340790580612744761387082604846664876079693410469815046162241342859171539419<163>

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 31, 2022 12:11:34 UTC 2022 年 1 月 31 日 (月) 21 時 11 分 34 秒 (日本時間)

10214+3149

c167

composite cofactor 合成数の残り
17311171928936149088603566050917392521240400518443694262517594923540337699917464419976379051846320840313750385331536320660447526953436364618418522579425707554888169827<167>

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)
403e62000 / 20781000Dmitry DomanovJanuary 31, 2022 13:58:11 UTC 2022 年 1 月 31 日 (月) 22 時 58 分 11 秒 (日本時間)
1000Dmitry DomanovFebruary 2, 2022 18:44:12 UTC 2022 年 2 月 3 日 (木) 3 時 44 分 12 秒 (日本時間)

10215+3149

c144

name 名前Eric Jeancolas
date 日付January 16, 2022 04:45:40 UTC 2022 年 1 月 16 日 (日) 13 時 45 分 40 秒 (日本時間)
composite number 合成数
259565108347335982133322902804918352289576303346266330795924010215484259298960787797614041464122673270829017955587053023544062389031502402298151<144>
prime factors 素因数
15846920260339919238016515818462375038156308927741188928023<59>
16379530159998941316201683420680430667429785318447722705744607195534271532619412833137<86>
factorization results 素因数分解の結果
259565108347335982133322902804918352289576303346266330795924010215484259298960787797614041464122673270829017955587053023544062389031502402298151=15846920260339919238016515818462375038156308927741188928023*16379530159998941316201683420680430667429785318447722705744607195534271532619412833137

cado polynomial
n: 259565108347335982133322902804918352289576303346266330795924010215484259298960787797614041464122673270829017955587053023544062389031502402298151
skew: 869568.371
c0: -13447894708321630790633500089054989
c1: -25552807503677935592293570211
c2: 68384921158402814624125
c3: -34534247957805981
c4: 33731324244
c5: 32940
Y0: -6014299808622450989579025862
Y1: 8094979751407995047
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.210e-07
# f(x) = 32940*x^5+33731324244*x^4-34534247957805981*x^3+68384921158402814624125*x^2-25552807503677935592293570211*x-13447894708321630790633500089054989
# g(x) = 8094979751407995047*x-6014299808622450989579025862

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15846920260339919238016515818462375038156308927741188928023 16379530159998941316201683420680430667429785318447722705744607195534271532619412833137
Info:Square Root: Total cpu/real time for sqrt: 1467.68/446.406
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 925.28/905.432
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 760.5s
Info:Square Root: Total cpu/real time for sqrt: 1467.68/446.406
Info:Filtering - Singleton removal: Total cpu/real time for purge: 710.32/811.514
Info:Generate Free Relations: Total cpu/real time for freerel: 498.46/126.091
Info:Generate Factor Base: Total cpu/real time for makefb: 18.45/4.91769
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46828585
Info:Lattice Sieving: Average J: 3829.54 for 858074 special-q, max bucket fill -bkmult 1.0,1s:1.112630
Info:Lattice Sieving: Total time: 1.04337e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 188327/48164.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 121102.29, WCT time 30867.87, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (101888 iterations)
Info:Linear Algebra: Lingen CPU time 726.1, WCT time 184.24
Info:Linear Algebra: Mksol: CPU time 65260.41,  WCT time 16653.35, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 208.49/254.917
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 254.39999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5710.88
Info:Polynomial Selection (root optimized): Rootsieve time: 5708.45
Info:Filtering - Merging: Merged matrix has 3250942 rows and total weight 554738072 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 815.4/230.28
Info:Filtering - Merging: Total cpu/real time for replay: 138.92/120.83
Info:Quadratic Characters: Total cpu/real time for characters: 130.47/54.9127
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78679/42.620/51.668/57.190/0.923
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64782/41.780/46.189/52.450/1.086
Info:Polynomial Selection (size optimized): Total time: 41068.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.22314e+06/585033
Info:root: Cleaning up computation data in /tmp/cado.5zjdfa6l
15846920260339919238016515818462375038156308927741188928023 1637953015999894131620168342068043066742978531844772270574460719553427153261941283313
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 21:51:52 UTC 2021 年 12 月 31 日 (金) 6 時 51 分 52 秒 (日本時間)
4511e64480Ignacio SantosJanuary 9, 2022 13:33:29 UTC 2022 年 1 月 9 日 (日) 22 時 33 分 29 秒 (日本時間)

10216+3149

c183

composite cofactor 合成数の残り
155823088332152619763850306545423970876895388465941810450799527780441920951988356057795885399872945074254846360725202520318765854417771590441332054315309306611357139215792753715047381<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)
403e61000 / 2078Dmitry DomanovFebruary 2, 2022 18:44:03 UTC 2022 年 2 月 3 日 (木) 3 時 44 分 3 秒 (日本時間)

10217+3149

c204

composite cofactor 合成数の残り
535270826563466656438139700875847012438957208721037987831699555193545145143235098615744003185824535561245525120366941630705003248730517058651227995252223330209445085102336937084994959135468711502136478493<204>

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 DomanovFebruary 2, 2022 18:43:53 UTC 2022 年 2 月 3 日 (木) 3 時 43 分 53 秒 (日本時間)

10219+3149

c159

composite cofactor 合成数の残り
114806668700307899598874354459609893550342964911695607036115056428883571933249979708888584637702655600414566087789296893762529468964115309378304910705657690181<159>

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 DomanovFebruary 2, 2022 18:43:43 UTC 2022 年 2 月 3 日 (木) 3 時 43 分 43 秒 (日本時間)

10220+3149

c215

composite cofactor 合成数の残り
46284725115017541910818591648384200246234737611893322965554907569403945309968804095272478176752108269228989049034037786849583900321215992298221740861081026039786349708869079026539661380951058531663380451183500421191<215>

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 DomanovFebruary 2, 2022 18:43:33 UTC 2022 年 2 月 3 日 (木) 3 時 43 分 33 秒 (日本時間)

10226+3149

c203

composite cofactor 合成数の残り
37276480772182230035999660934755768100781199043950062230287368762711071819761535198627137094539755699798449153179166894665569220536812204528924773149625141341180748696424755480199518509483004907347972609<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)
403e61000 / 2078Dmitry DomanovFebruary 2, 2022 10:29:35 UTC 2022 年 2 月 2 日 (水) 19 時 29 分 35 秒 (日本時間)

10228+3149

c190

composite cofactor 合成数の残り
1285929142041393743712215972953807474610384507381539897718088798874283335746158105627651783788640536457907401562808303814538427437376711801421603954443613571538768324198311108580534106292677<190>

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 DomanovFebruary 2, 2022 10:29:43 UTC 2022 年 2 月 2 日 (水) 19 時 29 分 43 秒 (日本時間)

10229+3149

c183

composite cofactor 合成数の残り
177934072295284838955001225024182575888443771792869138118274784602876253217481147942072780364238248087637861475846911221336071443063688231176440385966542591377222419122570564823311859<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)
403e61000 / 2078Dmitry DomanovFebruary 2, 2022 10:29:51 UTC 2022 年 2 月 2 日 (水) 19 時 29 分 51 秒 (日本時間)

10230+3149

c195

composite cofactor 合成数の残り
164830992497564894650586292089736854558177619283507415792697214281852211884215110896804745762753545574024187213200845829581809686789461054322682822895327721785226761554927321636974236860829352271<195>

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 DomanovFebruary 2, 2022 10:30:00 UTC 2022 年 2 月 2 日 (水) 19 時 30 分 0 秒 (日本時間)

10231+3149

c213

composite cofactor 合成数の残り
187931348403716409817119011523044214482369365224379303199225753960705169691226571451669563598090746552463411474561174020113195070797567514546196510255957647336813265083671692125695895813891683409147881533924970489<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)
403e61000 / 2078Dmitry DomanovFebruary 2, 2022 10:30:14 UTC 2022 年 2 月 2 日 (水) 19 時 30 分 14 秒 (日本時間)

10232+3149

c189

composite cofactor 合成数の残り
205031321868577905453756811146191707743850497470495484146146629844396612269200265812821065987991216328085204600283304398740186847834549241033112675175570283925245810169660818100935640732793<189>

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 DomanovFebruary 1, 2022 08:09:05 UTC 2022 年 2 月 1 日 (火) 17 時 9 分 5 秒 (日本時間)

10233+3149

c185

composite cofactor 合成数の残り
14977108830389630700269864228006466456444930809558414282461000722267491143424059926767582193939894554337470816143254197812957979439510107529124940443549810918340207637136048049703398249<185>

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 DomanovFebruary 1, 2022 08:08:56 UTC 2022 年 2 月 1 日 (火) 17 時 8 分 56 秒 (日本時間)

10234+3149

c166

composite cofactor 合成数の残り
1524926705745477255892242395247873121875496574475736129757636552715286148796808689331082975448361076868689511591959841514386995639265979560890914311125751770396990603<166>

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 DomanovFebruary 1, 2022 08:08:47 UTC 2022 年 2 月 1 日 (火) 17 時 8 分 47 秒 (日本時間)

10237+3149

c213

composite cofactor 合成数の残り
838445686000385862522645489349915295919408899279091887420250438790957577716989578312241363893360185517363820331282646658456815279564184300382469368982855150299604775436914247759827147635767941490284853352980773221<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)
403e61000 / 2078Dmitry DomanovFebruary 1, 2022 08:08:38 UTC 2022 年 2 月 1 日 (火) 17 時 8 分 38 秒 (日本時間)

10238+3149

c207

composite cofactor 合成数の残り
121389411588854911462172027077821783806559555923570156941221643563414237765725710284019303243678013813633246677326038003727193075532711513018198599028176420522993843869084233359481940692782733712778574379521<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)
403e61000 / 2078Dmitry DomanovFebruary 1, 2022 08:08:30 UTC 2022 年 2 月 1 日 (火) 17 時 8 分 30 秒 (日本時間)

10239+3149

c218

composite cofactor 合成数の残り
10019171634725306415536341008151617119695070407751989802975760895536891335288757442831782334063587048092344123587896126704884686487195619651135810226268619626764446195280188721185581416792897924948063839294590432353387<218>

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 DomanovFebruary 1, 2022 08:08:23 UTC 2022 年 2 月 1 日 (火) 17 時 8 分 23 秒 (日本時間)

10241+3149

c185

composite cofactor 合成数の残り
46934860846258000230515396951458167714863019720600131283948984254752682415676025263126576187257410214167383818923220058312599829824218092210887652182335684342791569206713334523014318781<185>

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 31, 2022 20:42:46 UTC 2022 年 2 月 1 日 (火) 5 時 42 分 46 秒 (日本時間)

10242+3149

c213

composite cofactor 合成数の残り
595574937286786913962432790085960901156552385936251749432748033294998934784774515614364243693029471012818961906903400565018575993789579209103151185457586075558587796768470809169504357841000816314299745527844145199<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)
403e61000 / 2078Dmitry DomanovJanuary 31, 2022 20:42:37 UTC 2022 年 2 月 1 日 (火) 5 時 42 分 37 秒 (日本時間)

10243+3149

c240

composite cofactor 合成数の残り
761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103500761035007610350076103501<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)
403e61000 / 2078Dmitry DomanovJanuary 31, 2022 20:42:29 UTC 2022 年 2 月 1 日 (火) 5 時 42 分 29 秒 (日本時間)

10244+3149

c201

composite cofactor 合成数の残り
141631237299183504647192801555393739771520721193701614761683371283348314317974908074113234065656538757604710313867218645735646630920784229877697702359792884520353084361284218773637753371928485120682431<201>

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 31, 2022 20:41:58 UTC 2022 年 2 月 1 日 (火) 5 時 41 分 58 秒 (日本時間)

10245+3149

c226

composite cofactor 合成数の残り
1214503465718961162599217489460253694933698358558067816852988168798210527356943529183287800363047154343983684834524066057670971828181924998427225576711641203904759233586206220372526796138129204356489421889912950722384201567637<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)
403e61000 / 2078Dmitry DomanovJanuary 31, 2022 20:41:48 UTC 2022 年 2 月 1 日 (火) 5 時 41 分 48 秒 (日本時間)

10247+3149

c221

composite cofactor 合成数の残り
33278909079380840880564000109728283934899653464628480010977756442862758484832019696042304463896559411232076661651555773075168306409653568176863714770451260777919822115182812715569955699309150863091991918844436673447489377<221>

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 31, 2022 20:41:40 UTC 2022 年 2 月 1 日 (火) 5 時 41 分 40 秒 (日本時間)

10248+3149

c166

name 名前Ignacio Santos
date 日付December 31, 2021 12:31:31 UTC 2021 年 12 月 31 日 (金) 21 時 31 分 31 秒 (日本時間)
composite number 合成数
1333346374971603906192830399709895946611834111314679369221389689454261897919089505128414685245388583645719221753275959949274368086826136057712436367103651970941492793<166>
prime factors 素因数
503414184759030150170346750368377<33>
composite cofactor 合成数の残り
2648607082078623503664427700144414584689847848419761679395879653126866081125953662182400833110164131886440952707672966793833787126209<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1642248955
Step 1 took 4922ms
********** Factor found in step 2: 503414184759030150170346750368377
Found prime factor of 33 digits: 503414184759030150170346750368377
Composite cofactor 2648607082078623503664427700144414584689847848419761679395879653126866081125953662182400833110164131886440952707672966793833787126209 has 133 digits
 
software ソフトウェア
GMP-ECM

c133

name 名前Eric Jeancolas
date 日付January 6, 2022 03:29:17 UTC 2022 年 1 月 6 日 (木) 12 時 29 分 17 秒 (日本時間)
composite number 合成数
2648607082078623503664427700144414584689847848419761679395879653126866081125953662182400833110164131886440952707672966793833787126209<133>
prime factors 素因数
96316444360511489468230653063637508441004516619238318911<56>
27499012236839990098223951839707595599630388767576767322474804281361436977919<77>
factorization results 素因数分解の結果
2648607082078623503664427700144414584689847848419761679395879653126866081125953662182400833110164131886440952707672966793833787126209=96316444360511489468230653063637508441004516619238318911*27499012236839990098223951839707595599630388767576767322474804281361436977919

cado polynomial
n: 2648607082078623503664427700144414584689847848419761679395879653126866081125953662182400833110164131886440952707672966793833787126209
skew: 455349.373
c0: 7500062369008472031949532189569
c1: 12594056280883699627900887
c2: 128505218105457943085
c3: -1316352842833971
c4: -978867330
c5: 720
Y0: -89808344745664676606618070
Y1: 19111479744470867011
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.665e-07
# f(x) = 720*x^5-978867330*x^4-1316352842833971*x^3+128505218105457943085*x^2+12594056280883699627900887*x+7500062369008472031949532189569
# g(x) = 19111479744470867011*x-89808344745664676606618070

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: 96316444360511489468230653063637508441004516619238318911 27499012236839990098223951839707595599630388767576767322474804281361436977919
Info:Square Root: Total cpu/real time for sqrt: 366.73/110.381
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 186.78/159.526
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 366.73/110.381
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.19/102.213
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17014461
Info:Lattice Sieving: Average J: 3806.67 for 516741 special-q, max bucket fill -bkmult 1.0,1s:1.167630
Info:Lattice Sieving: Total time: 172730s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.55/3.88105
Info:Linear Algebra: Total cpu/real time for bwc: 22974/5899.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14617.9, WCT time 3742.07, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38144 iterations)
Info:Linear Algebra: Lingen CPU time 230.72, WCT time 58.48
Info:Linear Algebra: Mksol: CPU time 7922.32,  WCT time 2023.86, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 250.01/63.3041
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.73/85.8095
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6280.26
Info:Polynomial Selection (root optimized): Rootsieve time: 6277.68
Info:Filtering - Merging: Merged matrix has 1212572 rows and total weight 206666820 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 307.95/85.9323
Info:Filtering - Merging: Total cpu/real time for replay: 44.1/37.6813
Info:Quadratic Characters: Total cpu/real time for characters: 40.95/16.4336
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): 54485/39.230/47.570/53.040/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44634/38.490/42.359/48.160/0.950
Info:Polynomial Selection (size optimized): Total time: 11542.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 365758/98296.7
Info:root: Cleaning up computation data in /tmp/cado.7mm7tcoj
96316444360511489468230653063637508441004516619238318911 27499012236839990098223951839707595599630388767576767322474804281361436977919
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 1, 2022 15:18:39 UTC 2022 年 1 月 2 日 (日) 0 時 18 分 39 秒 (日本時間)

10249+3149

c248

composite cofactor 合成数の残り
55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573<248>

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 31, 2022 20:41:33 UTC 2022 年 2 月 1 日 (火) 5 時 41 分 33 秒 (日本時間)

10254+3149

c235

composite cofactor 合成数の残り
9091287692876198671667751391408309140200542384379815636357260293457703023429790521564655531984664942299113316558645702594440752571226755666096579541632881481244868172680597163095516197205657614579487319362781272653533076800381440677987<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)
403e61000 / 2078Dmitry DomanovJanuary 31, 2022 20:41:07 UTC 2022 年 2 月 1 日 (火) 5 時 41 分 7 秒 (日本時間)

10255+3149

c254

composite cofactor 合成数の残り
55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555573<254>

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 DomanovFebruary 4, 2022 11:38:16 UTC 2022 年 2 月 4 日 (金) 20 時 38 分 16 秒 (日本時間)

10256+3149

c233

composite cofactor 合成数の残り
37263756555970858231278586637354853619052410363381337357122206540605635435112562189495978306835036653542388173203418453020340051783834532680846459569365869143537713340202643832094508473530398191082348559470648477128232488490631169287<233>

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 30, 2022 19:57:03 UTC 2022 年 1 月 31 日 (月) 4 時 57 分 3 秒 (日本時間)

10257+3149

c249

name 名前Dmitry Domanov
date 日付January 31, 2022 06:47:40 UTC 2022 年 1 月 31 日 (月) 15 時 47 分 40 秒 (日本時間)
composite number 合成数
228836823843193355999254596083486135689902268048901495601049139948148230224288966573498499880796610091842148926428288354151237057773009550646721926457492509610105393865634422198896427094237837058506202734240313439079104235461594972616081289027576819<249>
prime factors 素因数
2816666289087730104702388279045403604409<40>
composite cofactor 合成数の残り
81243853675441856438493615672365448359398664477611707764109074536684369421263017636969239354417393478593979439331256679700970348244156157804411844549131057263265454968224530347801009957524875905567248662068491<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=554308810
Step 1 took 15954ms
Step 2 took 6194ms
********** Factor found in step 2: 2816666289087730104702388279045403604409
Found probable prime factor of 40 digits: 2816666289087730104702388279045403604409
Composite cofactor 81243853675441856438493615672365448359398664477611707764109074536684369421263017636969239354417393478593979439331256679700970348244156157804411844549131057263265454968224530347801009957524875905567248662068491 has 209 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 30, 2022 19:55:56 UTC 2022 年 1 月 31 日 (月) 4 時 55 分 56 秒 (日本時間)

10258+3149

c237

composite cofactor 合成数の残り
356132174420284607603991402639902812686419253611093873276824601540170253894476007909884539914372260962731126114815784042138330424027621530035780416529693514264108829481774067659729915557887302650373185358147314271750940271524029363883161<237>

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 30, 2022 19:56:53 UTC 2022 年 1 月 31 日 (月) 4 時 56 分 53 秒 (日本時間)

10260+3149

c256

composite cofactor 合成数の残り
7224389539083947406444155468862881086548186678225689929200982516977315416847276405143765351827770553388238693830371333622308914896691229591099552087848576795260800462360930501372634012425950007224389539083947406444155468862881086548186678225689929200982517<256>

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 DomanovFebruary 4, 2022 11:38:26 UTC 2022 年 2 月 4 日 (金) 20 時 38 分 26 秒 (日本時間)

10261+3149

c216

composite cofactor 合成数の残り
443157222657925340703550715637812185372753765479451107261948427761794881180473785416146499951250066894296583551662472197898387267623729998051143705603193702382190473259225527270278506380369757932248860116377058365099<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)
403e61000 / 2078Dmitry DomanovJanuary 30, 2022 19:56:43 UTC 2022 年 1 月 31 日 (月) 4 時 56 分 43 秒 (日本時間)

10262+3149

c195

composite cofactor 合成数の残り
196803752735976045545680406288426251102584623803771332454287266403634352198203324094471732969884301967086578100395706358210264546826900445943772021557581927991854131038166676429002344494017552349<195>

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 30, 2022 13:44:33 UTC 2022 年 1 月 30 日 (日) 22 時 44 分 33 秒 (日本時間)

10263+3149

c220

composite cofactor 合成数の残り
3011127585904475568721438897416807008038944082456994830492423950614745819034973204682996172021453593542328305145872148855744926895118356002648368880038073753458668955212238398784282942907563849065962440350775846040795267<220>

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 30, 2022 19:56:30 UTC 2022 年 1 月 31 日 (月) 4 時 56 分 30 秒 (日本時間)

10265+3149

c229

composite cofactor 合成数の残り
9243492103731029560359441995888141926025978451227718217606775195867735288662495135529996587497314751136365638782069228075450508558005325822168501389631227636630414347762575041218561081199312608990484898086488589309391671385713871<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)
403e61000 / 2078Dmitry DomanovJanuary 30, 2022 08:02:37 UTC 2022 年 1 月 30 日 (日) 17 時 2 分 37 秒 (日本時間)

10267+3149

c243

composite cofactor 合成数の残り
316130085636362711832038168340055280699589700951263331278987798800343204065712296205004430749397073543033637449755012078885548684323971742443794856992485830171962212501939474289095093851158518640736059549372717759836161491051567505389221006607<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)
403e61000 / 2078Dmitry DomanovJanuary 30, 2022 08:02:29 UTC 2022 年 1 月 30 日 (日) 17 時 2 分 29 秒 (日本時間)

10269+3149

c236

composite cofactor 合成数の残り
39412271278331931400450664007151772922799936266409945463034622203698018001092690394452185909704582744058909210734883850498185906437671662593297150120001882950244739277785655906980339380827745678313141959118129115078067112958798258740063<236>

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 30, 2022 08:02:21 UTC 2022 年 1 月 30 日 (日) 17 時 2 分 21 秒 (日本時間)

10270+3149

c267

composite cofactor 合成数の残り
273672687465790914066776135741652983032293377120963327859879584017515051997810618500273672687465790914066776135741652983032293377120963327859879584017515051997810618500273672687465790914066776135741652983032293377120963327859879584017515051997810618500273672687465791<267>

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 DomanovFebruary 4, 2022 11:38:36 UTC 2022 年 2 月 4 日 (金) 20 時 38 分 36 秒 (日本時間)

10271+3149

c260

composite cofactor 合成数の残り
12644008120097763034718043857852788373753021190078892925847495196661793606232174645691449282625247105246555551438244201780512646166000892773835377929888505158119383875887813182907053459911336285253574726735414833961833051845206099481168841523720438576110399961<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)
403e61000 / 2078Dmitry DomanovFebruary 4, 2022 11:38:46 UTC 2022 年 2 月 4 日 (金) 20 時 38 分 46 秒 (日本時間)

10275+3149

c238

composite cofactor 合成数の残り
6522433126532638978311481256258709467242348794698575046950990446272618135059610084644799274707580612742055760234763002733086928256293392152322837136176577624642624365309264682446283052343352951111069740737413021841133664813411373965622539<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)
403e61000 / 2078Dmitry DomanovJanuary 30, 2022 08:02:14 UTC 2022 年 1 月 30 日 (日) 17 時 2 分 14 秒 (日本時間)

10277+3149

c255

composite cofactor 合成数の残り
303736592683546588456465025464192768873371152694206401189213947911359589309904202713868334998478412221320216414027635362619198724231476392861298481203920797330176172210114609266042754075351902062888125786566279995645676966836772154765227488600403121891999<255>

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 DomanovFebruary 4, 2022 09:59:24 UTC 2022 年 2 月 4 日 (金) 18 時 59 分 24 秒 (日本時間)

10282+3149

c263

composite cofactor 合成数の残り
38044640055049882008346037011448935064520620076858610356496936168093819321425590647750281381961353560360837987427947814417719334608394859685292324592372657598826360068822320686775026329481296794371627673275787911082180281487948407330854996304841234651275388806437<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)
403e61000 / 2078Dmitry DomanovFebruary 4, 2022 09:59:05 UTC 2022 年 2 月 4 日 (金) 18 時 59 分 5 秒 (日本時間)

10283+3149

c278

composite cofactor 合成数の残り
42996328113579100344830551470904384765541022796653165819639002829158389873504802689850286785508517572599300019778310932246386158622053676616016992148870486460456277033941301412859341812209237331131921333918083395678009098023028833337632966144691243367816388480423771809887435613<278>

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 DomanovFebruary 4, 2022 09:58:50 UTC 2022 年 2 月 4 日 (金) 18 時 58 分 50 秒 (日本時間)

10284+3149

c251

composite cofactor 合成数の残り
84267360966936595698358919513909844797588909251705513671931823064558861356637703667731365841657035481666469338871741682685080095572018166430620815002781360711281226291433546780780292495133800970076205219840540142293854316478206686396792471153658376883<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)
403e61000 / 2078Dmitry DomanovFebruary 4, 2022 09:58:40 UTC 2022 年 2 月 4 日 (金) 18 時 58 分 40 秒 (日本時間)

10285+3149

c235

composite cofactor 合成数の残り
5147903165070618349114232654658578979880005450505557711115568727715033227736482662081288146404884392144051963677460498996933183614291230687253236406800059446407263218466287459008305682582845822173952192585351812409189178961449978265881<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)
403e61000 / 2078Dmitry DomanovJanuary 30, 2022 08:02:06 UTC 2022 年 1 月 30 日 (日) 17 時 2 分 6 秒 (日本時間)

10286+3149

c265

name 名前Dmitry Domanov
date 日付February 4, 2022 11:57:11 UTC 2022 年 2 月 4 日 (金) 20 時 57 分 11 秒 (日本時間)
composite number 合成数
5941954661398916543747218814122681410000293901651516846594415931690247715466506048711300290673626769408164606679828365555117018182195332558712271762218108420465570228475038900236696491791129272821051961465477308860040310444640911602850547651760694598136961179912047<265>
prime factors 素因数
32212885686421968761818911327776905916246404873<47>
184458937309783015083964976784793130598081093473346533450804917126963616973585546521076978818491120197399804626336546728093602292939514953895401198426396720942515619768981337893075882157385810887066224719004004280314039<219>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1545573565
Step 1 took 17337ms
Step 2 took 4964ms
********** Factor found in step 2: 32212885686421968761818911327776905916246404873
Found probable prime factor of 47 digits: 32212885686421968761818911327776905916246404873
Probable prime cofactor 184458937309783015083964976784793130598081093473346533450804917126963616973585546521076978818491120197399804626336546728093602292939514953895401198426396720942515619768981337893075882157385810887066224719004004280314039 has 219 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 DomanovFebruary 4, 2022 09:58:19 UTC 2022 年 2 月 4 日 (金) 18 時 58 分 19 秒 (日本時間)

10288+3149

c244

composite cofactor 合成数の残り
1385511273882153608146391361947350259316358141978409917183962806430693108198364728448699538652898943765578590785993270347223398448216201683634216027339691037225192684863819712325706677375535271141107614775245526723803624011003968938125255850813<244>

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 30, 2022 08:01:58 UTC 2022 年 1 月 30 日 (日) 17 時 1 分 58 秒 (日本時間)

10289+3149

c284

composite cofactor 合成数の残り
35909479384367885434396972112698310099900171647311457278492376417526698697922277522820474148765791193559275777619776068486559081866431100481905213338217022529607365752411321540660303506919756677367691523208296526116964356250763076436917817565480935657394839089622878647505368467167963<284>

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 DomanovFebruary 4, 2022 06:15:26 UTC 2022 年 2 月 4 日 (金) 15 時 15 分 26 秒 (日本時間)

10290+3149

c287

composite cofactor 合成数の残り
19630938358853553199842952493129171574401256380054966627404789948959560266980761680408323517864153906556733411857086768747546132705143305850019630938358853553199842952493129171574401256380054966627404789948959560266980761680408323517864153906556733411857086768747546132705143305850019631<287>

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 DomanovFebruary 3, 2022 21:39:09 UTC 2022 年 2 月 4 日 (金) 6 時 39 分 9 秒 (日本時間)

10291+3149

c269

name 名前Dmitry Domanov
date 日付February 4, 2022 22:33:51 UTC 2022 年 2 月 5 日 (土) 7 時 33 分 51 秒 (日本時間)
composite number 合成数
12129981888038361445079639902921725375242476097629373146000388429937886127586008966765643348708035401502688728725854114686034833621228586905017556953766400888000408586389677935301351903511806195763544871094073376281949769154719028145045908309859680535762016008786034781<269>
prime factors 素因数
383727235014323270846136398591964649<36>
19190038112001188960025033158024393333774161<44>
composite cofactor 合成数の残り
1647258248156025615865469822678173044332076462332641271520428914371618679528848608929005812788918602307862899273160174690931141908540737842076318853353868869226106240946148908926417633151429<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=65507817
Step 1 took 18083ms
Step 2 took 7260ms
********** Factor found in step 2: 383727235014323270846136398591964649
Found probable prime factor of 36 digits: 383727235014323270846136398591964649
Composite cofactor 31610948562422443815114601426229337158417501611154695612091999555390361203859348807273892008863976402067847896065549207780361966324193093098447559114489528946551715376268069008279709342262555685397571625008646123388701048321000426069 has 233 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3363839254
Step 1 took 17585ms
Step 2 took 4756ms
********** Factor found in step 2: 19190038112001188960025033158024393333774161
Found probable prime factor of 44 digits: 19190038112001188960025033158024393333774161
Composite cofactor 1647258248156025615865469822678173044332076462332641271520428914371618679528848608929005812788918602307862899273160174690931141908540737842076318853353868869226106240946148908926417633151429 has 190 digits

c190

name 名前Ignacio Santos
date 日付February 8, 2022 13:44:32 UTC 2022 年 2 月 8 日 (火) 22 時 44 分 32 秒 (日本時間)
composite number 合成数
1647258248156025615865469822678173044332076462332641271520428914371618679528848608929005812788918602307862899273160174690931141908540737842076318853353868869226106240946148908926417633151429<190>
prime factors 素因数
109283858973054107609275586016086142822805987<45>
15073207183891508027966916701770501274088662198567037032572672379158449070231229446215513291186707669649842599866564539008817240429148445444326967<146>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:256458539
Step 1 took 31156ms
Step 2 took 13500ms
********** Factor found in step 2: 109283858973054107609275586016086142822805987
Found prime factor of 45 digits: 109283858973054107609275586016086142822805987
Prime cofactor 15073207183891508027966916701770501274088662198567037032572672379158449070231229446215513291186707669649842599866564539008817240429148445444326967 has 146 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)
403e633501000Dmitry DomanovFebruary 3, 2022 21:37:35 UTC 2022 年 2 月 4 日 (金) 6 時 37 分 35 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2022 13:36:22 UTC 2022 年 2 月 8 日 (火) 22 時 36 分 22 秒 (日本時間)

10292+3149

c182

name 名前Ignacio Santos
date 日付January 8, 2022 19:46:17 UTC 2022 年 1 月 9 日 (日) 4 時 46 分 17 秒 (日本時間)
composite number 合成数
10857548567227014388307736892311860690736552907414546449921700074523794282826528084315194783790150612370383002198202895589135633537806111148410692721589849734811947237981493298546903<182>
prime factors 素因数
2301668139568584463950379527884047262718069973<46>
composite cofactor 合成数の残り
4717251970678149186145913796597941381183359903491509778195820344551847250370810721711626340726861648584075879471821752718098390472156411<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3347957435
Step 1 took 31078ms
Step 2 took 13235ms
********** Factor found in step 2: 2301668139568584463950379527884047262718069973
Found prime factor of 46 digits: 2301668139568584463950379527884047262718069973
Composite cofactor 4717251970678149186145913796597941381183359903491509778195820344551847250370810721711626340726861648584075879471821752718098390472156411 has 136 digits
 
software ソフトウェア
GMP-ECM

c136

name 名前Ignacio Santos
date 日付January 10, 2022 22:17:16 UTC 2022 年 1 月 11 日 (火) 7 時 17 分 16 秒 (日本時間)
composite number 合成数
4717251970678149186145913796597941381183359903491509778195820344551847250370810721711626340726861648584075879471821752718098390472156411<136>
prime factors 素因数
618058379111920956398701943056320591570376799<45>
7632372814775684355093528157864074563089085937131164752200176756286330518078534407673538789<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:206186457
Step 1 took 21578ms
Step 2 took 10610ms
********** Factor found in step 2: 618058379111920956398701943056320591570376799
Found prime factor of 45 digits: 618058379111920956398701943056320591570376799
Prime cofactor 7632372814775684355093528157864074563089085937131164752200176756286330518078534407673538789 has 91 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 SantosDecember 31, 2021 14:13:37 UTC 2021 年 12 月 31 日 (金) 23 時 13 分 37 秒 (日本時間)

10293+3149

c280

composite cofactor 合成数の残り
2576070990746347482480891190143961510014730121360328199894232661661096300947555744902981500414114955626038380433678277360434173953746929917145296822123984398482339465452429170482777983238819844683671501643798680449518267080798775385981876489096825833682704146267179926181036525511<280>

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 DomanovFebruary 3, 2022 21:37:27 UTC 2022 年 2 月 4 日 (金) 6 時 37 分 27 秒 (日本時間)

10294+3149

c289

composite cofactor 合成数の残り
7653334557866862592031348058349022669176960401646997596852948829805146102156709678406881878434433882842754588174067441184123922793160980239090171587760787375059313342823468185088242947452204925686121443112764231375610353430989882291714500007653334557866862592031348058349022669176960401647<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)
403e61000 / 2078Dmitry DomanovFebruary 3, 2022 21:36:17 UTC 2022 年 2 月 4 日 (金) 6 時 36 分 17 秒 (日本時間)

10295+3149

c279

composite cofactor 合成数の残り
712785629717496750517693170688040423545659657451855400769546056463190253517956127945720285150840034924643382376273777409534261887178115680539923486968559313909962631145576531355204100263894092195189162437095598766188766891879068686069516781819494309316274826066802668203099435641<279>

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 DomanovFebruary 3, 2022 21:37:19 UTC 2022 年 2 月 4 日 (金) 6 時 37 分 19 秒 (日本時間)

10296+3149

c223

composite cofactor 合成数の残り
1890427361086094371704616538265642611756984695028100500524423095901433238980031400461365409997365619247496657726939017831851500688242319731421600704904032295546035319007266069196627304202069734055125104672177750957452172057<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)
403e61000 / 2078Dmitry DomanovJanuary 30, 2022 08:01:50 UTC 2022 年 1 月 30 日 (日) 17 時 1 分 50 秒 (日本時間)

10297+3149

c265

composite cofactor 合成数の残り
4417869206712165553417310352056999131454452945820052961579942062164795194463561678849929774314492188999257031726912089128054209989709131076072600836054542540951969875936392809128493796670553677752339431531126536931215168765627051876410137479954291511735912943608473<265>

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 DomanovFebruary 3, 2022 21:37:13 UTC 2022 年 2 月 4 日 (金) 6 時 37 分 13 秒 (日本時間)

10298+3149

c224

composite cofactor 合成数の残り
36392579963391470082332811424143320702990339583696937646918005491744728144768460818904018366869615459769523855526495599091986712856492578576911775412136811188635014834707559993362186450177673174013653952104358916991622143611<224>

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 30, 2022 08:01:44 UTC 2022 年 1 月 30 日 (日) 17 時 1 分 44 秒 (日本時間)

10300+3149

c234

composite cofactor 合成数の残り
301385329828564150294159819869287126647094430873554208855042857939689932246766957957624704094118753157437279346349622561094709810341615175708088214847132330808916791262489684225114930946676338090395549378180873544402119380364564506603<234>

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 00:16:29 UTC 2021 年 12 月 29 日 (水) 9 時 16 分 29 秒 (日本時間)
4511e61800Dmitry DomanovDecember 31, 2021 09:18:35 UTC 2021 年 12 月 31 日 (金) 18 時 18 分 35 秒 (日本時間)
5043e6800 / 7106Dmitry DomanovJanuary 2, 2022 20:16:32 UTC 2022 年 1 月 3 日 (月) 5 時 16 分 32 秒 (日本時間)