Table of contents 目次

2×10133+1339

c111

name 名前Ignacio Santos
date 日付December 28, 2021 22:34:30 UTC 2021 年 12 月 29 日 (水) 7 時 34 分 30 秒 (日本時間)
composite number 合成数
174384810137237764559169336609867328584092787833058362869709716116343091766179025499706458294622636566112523379<111>
prime factors 素因数
555648830724163537108767834600696881017459<42>
313839965990689307671639234777706986025434141852592827879592865338881<69>
factorization results 素因数分解の結果
N=174384810137237764559169336609867328584092787833058362869709716116343091766179025499706458294622636566112523379
  ( 111 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=555648830724163537108767834600696881017459 (pp42)
 r2=313839965990689307671639234777706986025434141852592827879592865338881 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.75 hours.
Scaled time: 21.61 units (timescale=7.855).
Factorization parameters were as follows:
n: 174384810137237764559169336609867328584092787833058362869709716116343091766179025499706458294622636566112523379
m: 1000000000000000000000000000000000
deg: 4
c4: 20
c0: 133
skew: 1.61
# Murphy_E = 9.62e-09
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156189 x 156417
Total sieving time: 2.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,100000
total time: 2.75 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)

2×10134+1339

c110

name 名前Ignacio Santos
date 日付December 28, 2021 22:42:36 UTC 2021 年 12 月 29 日 (水) 7 時 42 分 36 秒 (日本時間)
composite number 合成数
97044206922822544322092259941859260962339235511087045681625278449515180921715086236312608536079266467688291251<110>
prime factors 素因数
163698541510660696328199901885907079946752247574563<51>
592822672867263400939846329673843841666259821923797393987377<60>
factorization results 素因数分解の結果
N=97044206922822544322092259941859260962339235511087045681625278449515180921715086236312608536079266467688291251
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=163698541510660696328199901885907079946752247574563 (pp51)
 r2=592822672867263400939846329673843841666259821923797393987377 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.69 hours.
Scaled time: 21.23 units (timescale=7.905).
Factorization parameters were as follows:
n: 97044206922822544322092259941859260962339235511087045681625278449515180921715086236312608536079266467688291251
m: 1000000000000000000000000000000000
deg: 4
c4: 200
c0: 133
skew: 0.90
# Murphy_E = 8.134e-09
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1305001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179908 x 180133
Total sieving time: 2.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,100000
total time: 2.69 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)

2×10135+1339

c104

name 名前Bob Backstrom
date 日付December 29, 2021 00:18:46 UTC 2021 年 12 月 29 日 (水) 9 時 18 分 46 秒 (日本時間)
composite number 合成数
10548070398584292227077797178460801957624994701032541468821917472076023373217592906810238954660469256451<104>
prime factors 素因数
367685268037130279731663443553795707257901060083429<51>
28687769991152072218538548098567680787710109756299719<53>
factorization results 素因数分解の結果
CADO

STA:Wed 29 Dec 2021 10:55:27 AEDT (10,548,070,398,584,292,227,077,797,178,460,801,957,624,994,701,032,541,468,821,917,472,076,023,373,217,592,906,810,238,954,660,469,256,451 - C104)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10548070398584292227077797178460801957624994701032541468821917472076023373217592906810238954660469256451 2>&1 | tee -a log119

Debug:root: Looking for parameter file for c104 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.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.gc2e6tmi
Info:Database: Opened connection to database /tmp/cado.gc2e6tmi/c105.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 1054807039858429222707779717846080195762499470103254146882191747207602337321759290681
0238954660469256451
Debug:root: Root parameter dictionary:
N = 10548070398584292227077797178460801957624994701032541468821917472076023373217592906810238954660469256451
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 10548070398584292227077797178460801957624994701032541468821917472076023373217592906810238954660469256451
skew: 664815.159
c0: -4994053252380624322853969288
c1: -19311970610538011060189
c2: 1493078978727707
c3: -37523192314
c4: 40920
Y0: -4765307545094673886242765
Y1: 1152764202599687
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 5.52e-09
# f(x) = 40920*x^4-37523192314*x^3+1493078978727707*x^2-19311970610538011060189*x-4994053252380624322853969288
# g(x) = 1152764202599687*x-4765307545094673886242765
...
Info:Square Root: finished
Info:Square Root: Factors: 28687769991152072218538548098567680787710109756299719 367685268037130279731663443553795707257901060083429
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11718/34.510/39.207/40.110/0.681
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11718/33.460/38.052/40.030/1.030
Info:Polynomial Selection (size optimized): Total time: 232.07
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 78.58
Info:Polynomial Selection (root optimized): Rootsieve time: 78.21
Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.124756
Info:Generate Free Relations: Total cpu/real time for freerel: 12.98/0.864977
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1980385
Info:Lattice Sieving: Average J: 1011.71 for 178320 special-q, max bucket fill: 0.809245
Info:Lattice Sieving: Total CPU time: 12853.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.12/4.64333
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.299999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 31.82/16.5694
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.2/14.2251
Info:Filtering - Merging: Total cpu/real time for merge: 79.13/61.2506
Info:Filtering - Merging: Total cpu/real time for replay: 8.48/6.71261
Info:Linear Algebra: Total cpu/real time for bwc: 1480.56/0.00026083
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 62.38
Info:Linear Algebra: Lingen CPU time 52.88, WCT time 5.4
Info:Linear Algebra: Mksol: WCT time 35.58
Info:Quadratic Characters: Total cpu/real time for characters: 7.76/1.83007
Info:Square Root: Total cpu/real time for sqrt: 126.75/19.1729
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 14943.6/1171.45
Info:root: Cleaning up computation data in /tmp/cado.gc2e6tmi
28687769991152072218538548098567680787710109756299719 367685268037130279731663443553795707257901060083429

END:Wed 29 Dec 2021 11:14:59 AEDT (10,548,070,398,584,292,227,077,797,178,460,801,957,624,994,701,032,541,468,821,917,472,076,023,373,217,592,906,810,238,954,660,469,256,451 - C104)

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)

2×10144+1339

c143

name 名前Ignacio Santos
date 日付December 29, 2021 15:49:56 UTC 2021 年 12 月 30 日 (木) 0 時 49 分 56 秒 (日本時間)
composite number 合成数
74074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074079<143>
prime factors 素因数
1478338264062812329409677860405876470856286309833062369649376606283<67>
50106309140982080457607336024114047141322989368132865031960965061233528202813<77>
factorization results 素因数分解の結果
N=74074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074079
  ( 143 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1478338264062812329409677860405876470856286309833062369649376606283 (pp67)
 r2=50106309140982080457607336024114047141322989368132865031960965061233528202813 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.08 hours.
Scaled time: 54.97 units (timescale=7.764).
Factorization parameters were as follows:
n: 74074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074074079
m: 1000000000000000000000000000000000000
deg: 4
c4: 2
c0: 133
skew: 2.86
# Murphy_E = 3.353e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [890000, 1590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 216580 x 216805
Total sieving time: 7.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
total time: 7.08 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)

2×10148+1339

c119

name 名前Ignacio Santos
date 日付December 29, 2021 20:23:34 UTC 2021 年 12 月 30 日 (木) 5 時 23 分 34 秒 (日本時間)
composite number 合成数
15679131028107208324957860551902577417338176746589075096636992265007137658625424365303937887474567567985903657643305823<119>
prime factors 素因数
20999148172373475662031047164214263787671<41>
746655573807260749120496393295638236467278802388946778872070376124244266069113<78>
factorization results 素因数分解の結果
N=15679131028107208324957860551902577417338176746589075096636992265007137658625424365303937887474567567985903657643305823
  ( 119 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=20999148172373475662031047164214263787671 (pp41)
 r2=746655573807260749120496393295638236467278802388946778872070376124244266069113 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.25 hours.
Scaled time: 72.61 units (timescale=7.849).
Factorization parameters were as follows:
n: 15679131028107208324957860551902577417338176746589075096636992265007137658625424365303937887474567567985903657643305823
m: 10000000000000000000000000000000000000
deg: 4
c4: 2
c0: 133
skew: 2.86
# Murphy_E = 2.101e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 290753 x 290978
Total sieving time: 9.21 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.25 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)

2×10149+1339

c118

name 名前Ignacio Santos
date 日付December 30, 2021 09:11:30 UTC 2021 年 12 月 30 日 (木) 18 時 11 分 30 秒 (日本時間)
composite number 合成数
7267916346589663338237748026812315609788472886175822540589042612589020895309972212547802041464984327506254888463133617<118>
prime factors 素因数
969765671155065399410531168095833873576254516351714489<54>
7494507758697022900958173251403864463595834036272650860092871353<64>
factorization results 素因数分解の結果
N=7267916346589663338237748026812315609788472886175822540589042612589020895309972212547802041464984327506254888463133617
  ( 118 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=969765671155065399410531168095833873576254516351714489 (pp54)
 r2=7494507758697022900958173251403864463595834036272650860092871353 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.61 hours.
Scaled time: 59.85 units (timescale=7.862).
Factorization parameters were as follows:
n: 7267916346589663338237748026812315609788472886175822540589042612589020895309972212547802041464984327506254888463133617
m: 1000000000000000000000000000000
deg: 5
c5: 1
c0: 665
skew: 3.67
# Murphy_E = 1.542e-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, 1700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 300949 x 301174
Total sieving time: 7.56 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 7.61 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)

2×10150+1339

c132

name 名前Ignacio Santos
date 日付December 30, 2021 10:14:22 UTC 2021 年 12 月 30 日 (木) 19 時 14 分 22 秒 (日本時間)
composite number 合成数
180971336193957815898623898808076283690087047162819172415956306503374729684639015248969212155493598861178843138606002821119450266649<132>
prime factors 素因数
122837545451976521995243267539830966519<39>
1473257508753370242696554644997720640493257364413246717463845732911022757278797735990108860271<94>
factorization results 素因数分解の結果
N=180971336193957815898623898808076283690087047162819172415956306503374729684639015248969212155493598861178843138606002821119450266649
  ( 132 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=122837545451976521995243267539830966519 (pp39)
 r2=1473257508753370242696554644997720640493257364413246717463845732911022757278797735990108860271 (pp94)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.36 hours.
Scaled time: 56.00 units (timescale=7.605).
Factorization parameters were as follows:
n: 180971336193957815898623898808076283690087047162819172415956306503374729684639015248969212155493598861178843138606002821119450266649
m: 1000000000000000000000000000000
deg: 5
c5: 2
c0: 133
skew: 2.32
# Murphy_E = 1.383e-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, 1700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 438439 x 438673
Total sieving time: 7.27 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 7.36 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)

2×10151+1339

c125

name 名前Ignacio Santos
date 日付December 30, 2021 19:31:11 UTC 2021 年 12 月 31 日 (金) 4 時 31 分 11 秒 (日本時間)
composite number 合成数
36177410924123210855340001712351997107045318712835185793309851084406414361672205388680263048946402990785259571987433562028273<125>
prime factors 素因数
27159898850134174536580469565763395170312351<44>
1332015672213907684335973806368551311524584256914689603066259940780515841728474223<82>
factorization results 素因数分解の結果
N=36177410924123210855340001712351997107045318712835185793309851084406414361672205388680263048946402990785259571987433562028273
  ( 125 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=27159898850134174536580469565763395170312351 (pp44)
 r2=1332015672213907684335973806368551311524584256914689603066259940780515841728474223 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.25 hours.
Scaled time: 72.91 units (timescale=7.880).
Factorization parameters were as follows:
n: 36177410924123210855340001712351997107045318712835185793309851084406414361672205388680263048946402990785259571987433562028273
m: 1000000000000000000000000000000
deg: 5
c5: 20
c0: 133
skew: 1.46
# Murphy_E = 1.077e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 443604 x 443829
Total sieving time: 9.17 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 9.25 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)

2×10152+1339

c122

name 名前Bob Backstrom
date 日付December 29, 2021 08:35:36 UTC 2021 年 12 月 29 日 (水) 17 時 35 分 36 秒 (日本時間)
composite number 合成数
10055054475686504496827956863905595725505549960768085277640185134504455607695779254055041869593886333030136521244810839821<122>
prime factors 素因数
94114966761035521699155328318868326968323<41>
106837996354150456837593810682599169834103039528937867835926094539662984061303727<81>
factorization results 素因数分解の結果
CADO

STA:Wed 29 Dec 2021 17:22:59 AEDT (10,055,054,475,686,504,496,827,956,863,905,595,725,505,549,960,768,085,277,640,185,134,504,455,607,695,779,254,055,041,869,593,886,333,030,136,521,244,810,839,821 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10055054475686504496827956863905595725505549960768085277640185134504455607695779254055041869593886333030136521244810839821 2>&1 | tee -a log125

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.vzk6t2x9
Info:Database: Opened connection to database /tmp/cado.vzk6t2x9/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 1005505447568650449682795686390559572550554996076808527764018513450445560769577925405
5041869593886333030136521244810839821
Debug:root: Root parameter dictionary:
N = 10055054475686504496827956863905595725505549960768085277640185134504455607695779254055041869593886333030136521244810839821
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 10055054475686504496827956863905595725505549960768085277640185134504455607695779254055041869593886333030136521244810839821
skew: 28044.979
c0: 535221820155020500804856268
c1: 503954998365736283521028
c2: -3086382687836049723
c3: -1232773850179553
c4: 4643751510
c5: 229320
Y0: -191699154942572348561575
Y1: 222180381687192727
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.53e-09
# f(x) = 229320*x^5+4643751510*x^4-1232773850179553*x^3-3086382687836049723*x^2+503954998365736283521028*x+535221820155020500804856268
# g(x) = 222180381687192727*x-191699154942572348561575
...
Info:Square Root: finished
Info:Square Root: Factors: 106837996354150456837593810682599169834103039528937867835926094539662984061303727 94114966761035521699155328318868326968323
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): 10560/35.900/43.329/48.760/1.056
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10560/35.190/38.507/43.850/1.146
Info:Polynomial Selection (size optimized): Total time: 1130.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 380.19
Info:Polynomial Selection (root optimized): Rootsieve time: 379.32
Info:Generate Factor Base: Total cpu/real time for makefb: 23.67/2.14614
Info:Generate Free Relations: Total cpu/real time for freerel: 150.21/9.95594
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10616591
Info:Lattice Sieving: Average J: 7828.3 for 26365 special-q, max bucket fill: 0.702299
Info:Lattice Sieving: Total CPU time: 76711.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.38/35.845
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 35.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.42/118.061
Info:Filtering - Singleton removal: Total cpu/real time for purge: 178.65/98.1895
Info:Filtering - Merging: Total cpu/real time for merge: 458.99/370.172
Info:Filtering - Merging: Total cpu/real time for replay: 36.91/28.8727
Info:Linear Algebra: Total cpu/real time for bwc: 20085.9/0.000334501
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 872.44
Info:Linear Algebra: Lingen CPU time 229.09, WCT time 22.55
Info:Linear Algebra: Mksol: WCT time 467.03
Info:Quadratic Characters: Total cpu/real time for characters: 35.95/8.6364
Info:Square Root: Total cpu/real time for sqrt: 874.1/123.648
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 100321/7492.72
Info:root: Cleaning up computation data in /tmp/cado.vzk6t2x9
106837996354150456837593810682599169834103039528937867835926094539662984061303727 94114966761035521699155328318868326968323

END:Wed 29 Dec 2021 19:27:52 AEDT (10,055,054,475,686,504,496,827,956,863,905,595,725,505,549,960,768,085,277,640,185,134,504,455,607,695,779,254,055,041,869,593,886,333,030,136,521,244,810,839,821 - 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)

2×10153+1339

c143

name 名前Ignacio Santos
date 日付December 31, 2021 11:41:02 UTC 2021 年 12 月 31 日 (金) 20 時 41 分 2 秒 (日本時間)
composite number 合成数
48708593050720582610842322250713502729166932522733968098111611263827978771968953340643775672670855669038908195758677083086089276079642073509801<143>
prime factors 素因数
54917710214114450015744257868642589438557989086504636317440920416689339<71>
886937799496999847105200597566289663094000019479332221597318076988289259<72>
factorization results 素因数分解の結果
N=48708593050720582610842322250713502729166932522733968098111611263827978771968953340643775672670855669038908195758677083086089276079642073509801
  ( 143 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=54917710214114450015744257868642589438557989086504636317440920416689339 (pp71)
 r2=886937799496999847105200597566289663094000019479332221597318076988289259 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.97 hours.
Scaled time: 126.26 units (timescale=7.905).
Factorization parameters were as follows:
n: 48708593050720582610842322250713502729166932522733968098111611263827978771968953340643775672670855669038908195758677083086089276079642073509801
m: 100000000000000000000000000000000000000
deg: 4
c4: 20
c0: 133
skew: 1.61
# Murphy_E = 9.484e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 476105 x 476328
Total sieving time: 15.86 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,153.000,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.97 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)

2×10158+1339

c143

name 名前Ignacio Santos
date 日付January 3, 2022 09:46:58 UTC 2022 年 1 月 3 日 (月) 18 時 46 分 58 秒 (日本時間)
composite number 合成数
54719842923543137585318112766325853202635568889011675164903244328406762035226689589891404021611180643734929580986910890562974888748574357016509<143>
prime factors 素因数
7676853248944535756072902252859630113<37>
7127900084721090800977100199889842476779836204152576150239271166494055330656507276312670333977875860632093<106>
factorization results 素因数分解の結果
N=54719842923543137585318112766325853202635568889011675164903244328406762035226689589891404021611180643734929580986910890562974888748574357016509
  ( 143 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=7676853248944535756072902252859630113 (pp37)
 r2=7127900084721090800977100199889842476779836204152576150239271166494055330656507276312670333977875860632093 (pp106)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.00 hours.
Scaled time: 125.89 units (timescale=7.868).
Factorization parameters were as follows:
n: 54719842923543137585318112766325853202635568889011675164903244328406762035226689589891404021611180643734929580986910890562974888748574357016509
m: 10000000000000000000000000000000
deg: 5
c5: 2000
c0: 133
skew: 0.58
# Murphy_E = 5.23e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 612639 x 612864
Total sieving time: 15.87 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 16.00 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)

2×10159+1339

c139

name 名前Ignacio Santos
date 日付January 3, 2022 12:59:03 UTC 2022 年 1 月 3 日 (月) 21 時 59 分 3 秒 (日本時間)
composite number 合成数
2522121412974956394793534976302082800474481203094631091586570007192406363400785486740104882353582068072436140814920903037030027178394604649<139>
prime factors 素因数
73431841583434362113269672052295174049762562893<47>
34346427361613750855036637204136834043839455890023945182534319883853255131799207034713489293<92>
factorization results 素因数分解の結果
N=2522121412974956394793534976302082800474481203094631091586570007192406363400785486740104882353582068072436140814920903037030027178394604649
  ( 139 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=73431841583434362113269672052295174049762562893 (pp47)
 r2=34346427361613750855036637204136834043839455890023945182534319883853255131799207034713489293 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.72 hours.
Scaled time: 114.32 units (timescale=7.764).
Factorization parameters were as follows:
n: 2522121412974956394793534976302082800474481203094631091586570007192406363400785486740104882353582068072436140814920903037030027178394604649
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: 665
skew: 3.67
# Murphy_E = 6.378e-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, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 538477 x 538706
Total sieving time: 14.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 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: 14.72 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)

2×10160+1339

c143

name 名前Ignacio Santos
date 日付January 3, 2022 14:35:07 UTC 2022 年 1 月 3 日 (月) 23 時 35 分 7 秒 (日本時間)
composite number 合成数
98434764759496054727854758372321458258798575097622894748576620614772164597961742313554745895803876011419653021374825530571590623747058649061939<143>
prime factors 素因数
7894199512085984770335964271075706784474919<43>
12469252215983756471824293755796516863965612191210333822470008223698088835496708161466239932721986581<101>
factorization results 素因数分解の結果
N=98434764759496054727854758372321458258798575097622894748576620614772164597961742313554745895803876011419653021374825530571590623747058649061939
  ( 143 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=7894199512085984770335964271075706784474919 (pp43)
 r2=12469252215983756471824293755796516863965612191210333822470008223698088835496708161466239932721986581 (pp101)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.28 hours.
Scaled time: 128.78 units (timescale=7.911).
Factorization parameters were as follows:
n: 98434764759496054727854758372321458258798575097622894748576620614772164597961742313554745895803876011419653021374825530571590623747058649061939
m: 100000000000000000000000000000000
deg: 5
c5: 2
c0: 133
skew: 2.32
# Murphy_E = 5.718e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 614128 x 614356
Total sieving time: 16.16 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 16.28 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

2×10161+1339

c157

name 名前Ignacio Santos
date 日付January 3, 2022 21:22:13 UTC 2022 年 1 月 4 日 (火) 6 時 22 分 13 秒 (日本時間)
composite number 合成数
1536062917137085935039899234272635807162661382610231715091050129413300768799490027111510487469566753454221484912021996420973403070589771357034784144758569311<157>
prime factors 素因数
1238670732220382703047640540487706742709506883<46>
1240089781070076657842529018903655451840198791774593215040097972108145872430941177875413165215789505819086408117<112>
factorization results 素因数分解の結果
N=1536062917137085935039899234272635807162661382610231715091050129413300768799490027111510487469566753454221484912021996420973403070589771357034784144758569311
  ( 157 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1238670732220382703047640540487706742709506883 (pp46)
 r2=1240089781070076657842529018903655451840198791774593215040097972108145872430941177875413165215789505819086408117 (pp112)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.33 hours.
Scaled time: 143.84 units (timescale=7.849).
Factorization parameters were as follows:
n: 1536062917137085935039899234272635807162661382610231715091050129413300768799490027111510487469566753454221484912021996420973403070589771357034784144758569311
m: 100000000000000000000000000000000
deg: 5
c5: 20
c0: 133
skew: 1.46
# Murphy_E = 4.448e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 697590 x 697815
Total sieving time: 18.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 18.33 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)

2×10163+1339

c125

name 名前Bob Backstrom
date 日付December 31, 2021 13:17:34 UTC 2021 年 12 月 31 日 (金) 22 時 17 分 34 秒 (日本時間)
composite number 合成数
14892150195115583907276527107643037010968789721502091404157002320629098194168598804516495615272450676687977666602076572816283<125>
prime factors 素因数
14738982333472942153476246199706880373<38>
1010392024237303692782607608713959231182691817921278389186990290845612057696371123582671<88>
factorization results 素因数分解の結果
CADO

STA:Fri 31 Dec 2021 21:14:04 AEDT (14,892,150,195,115,583,907,276,527,107,643,037,010,968,789,721,502,091,404,157,002,320,629,098,194,168,598,804,516,495,615,272,450,676,687,977,666,602,076,572,816,283 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 14892150195115583907276527107643037010968789721502091404157002320629098194168598804516495615272450676687977666602076572816283 2>&1 | tee -a log138

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.l_8tcq9n
Info:Database: Opened connection to database /tmp/cado.l_8tcq9n/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 1489215019511558390727652710764303701096878972150209140415700232062909819416859880451
6495615272450676687977666602076572816283
Debug:root: Root parameter dictionary:
N = 14892150195115583907276527107643037010968789721502091404157002320629098194168598804516495615272450676687977666602076572816283
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 14892150195115583907276527107643037010968789721502091404157002320629098194168598804516495615272450676687977666602076572816283
skew: 30218.397
c0: -10283209874925970500083076192
c1: -1773703585223344804387324
c2: 416865148274916206217
c3: 3115998309767014
c4: -126153058680
c5: 1713600
Y0: -665451635359167514646513
Y1: 9224435045250227
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.47e-10
# f(x) = 1713600*x^5-126153058680*x^4+3115998309767014*x^3+416865148274916206217*x^2-1773703585223344804387324*x-10283209874925970500083076192
# g(x) = 9224435045250227*x-665451635359167514646513
...
Info:Square Root: finished
Info:Square Root: Factors: 1010392024237303692782607608713959231182691817921278389186990290845612057696371123582671 14738982333472942153476246199706880373
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 631.69/87.5266
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): 22016/36.330/44.207/48.430/0.860
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22016/35.870/39.953/45.000/1.297
Info:Polynomial Selection (size optimized): Total time: 1768.75
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1176.38
Info:Polynomial Selection (root optimized): Rootsieve time: 1175.46
Info:Generate Factor Base: Total cpu/real time for makefb: 11.84/1.06494
Info:Generate Free Relations: Total cpu/real time for freerel: 148.48/9.85811
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13062221
Info:Lattice Sieving: Average J: 3773.78 for 201391 special-q, max bucket fill: 0.751826
Info:Lattice Sieving: Total CPU time: 142968s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.23/41.7582
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.37/58.3473
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.58/52.7885
Info:Filtering - Merging: Total cpu/real time for merge: 258.86/215.202
Info:Filtering - Merging: Total cpu/real time for replay: 22.96/17.4019
Info:Linear Algebra: Total cpu/real time for bwc: 9801.7/0.000175953
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 413.04
Info:Linear Algebra: Lingen CPU time 146.18, WCT time 14.54
Info:Linear Algebra: Mksol: WCT time 222.41
Info:Quadratic Characters: Total cpu/real time for characters: 24.12/5.80957
Info:Square Root: Total cpu/real time for sqrt: 631.69/87.5266
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 157169/10725.1
Info:root: Cleaning up computation data in /tmp/cado.l_8tcq9n
1010392024237303692782607608713959231182691817921278389186990290845612057696371123582671 14738982333472942153476246199706880373

END:Sat 01 Jan 2022 00:12:50 AEDT (14,892,150,195,115,583,907,276,527,107,643,037,010,968,789,721,502,091,404,157,002,320,629,098,194,168,598,804,516,495,615,272,450,676,687,977,666,602,076,572,816,283 - 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)

2×10168+1339

c123

name 名前Bob Backstrom
date 日付January 7, 2022 15:23:15 UTC 2022 年 1 月 8 日 (土) 0 時 23 分 15 秒 (日本時間)
composite number 合成数
598176966079300504529405018295046874385634246265972035631741478386299300903590459163280996149911001745058101029466327561687<123>
prime factors 素因数
53634053982347868987001691731554476258702716040482797195173<59>
11152932170224788981591742874612943899998891415625983282177455819<65>
factorization results 素因数分解の結果
Number: n
N=598176966079300504529405018295046874385634246265972035631741478386299300903590459163280996149911001745058101029466327561687  ( 123 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jan  8 02:16:17 2022  p59 factor: 53634053982347868987001691731554476258702716040482797195173
Sat Jan  8 02:16:17 2022  p65 factor: 11152932170224788981591742874612943899998891415625983282177455819
Sat Jan  8 02:16:17 2022  elapsed time 00:11:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 2x10^168+133 = 4(166)74
#
n: 598176966079300504529405018295046874385634246265972035631741478386299300903590459163280996149911001745058101029466327561687
m: 1000000000000000000000000000000000
deg: 5
c5: 2000
c0: 133
skew: 0.58
# Murphy_E = 2.134e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2998189 hash collisions in 20778653 relations (18445741 unique)
Msieve: matrix is 621210 x 621437 (208.4 MB)

Sieving start time : 2022/01/08 00:42:06
Sieving end time  : 2022/01/08 02:04:27

Total sieving time: 1hrs 22min 21secs.

Total relation processing time: 0hrs 5min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 09:26:44 UTC 2022 年 1 月 5 日 (水) 18 時 26 分 44 秒 (日本時間)

2×10169+1339

c167

name 名前Bob Backstrom
date 日付January 4, 2022 12:09:12 UTC 2022 年 1 月 4 日 (火) 21 時 9 分 12 秒 (日本時間)
composite number 合成数
19665683382497541789577187807276302851524090462143559488692232055063913470993117010816125860373647984267453294001966568338249754178957718780727630285152409046214355949<167>
prime factors 素因数
921588093734276409294196082676167814678070291617814737984571259456758307<72>
21338907822487334561755622907473032352672682803124739579200391106556805318630123107072230175407<95>
factorization results 素因数分解の結果
Number: n
N=19665683382497541789577187807276302851524090462143559488692232055063913470993117010816125860373647984267453294001966568338249754178957718780727630285152409046214355949  ( 167 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jan  4 23:03:07 2022  p72 factor: 921588093734276409294196082676167814678070291617814737984571259456758307
Tue Jan  4 23:03:07 2022  p95 factor: 21338907822487334561755622907473032352672682803124739579200391106556805318630123107072230175407
Tue Jan  4 23:03:07 2022  elapsed time 00:13:56 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 2x10^169+133 = 4(167)74
#
n: 19665683382497541789577187807276302851524090462143559488692232055063913470993117010816125860373647984267453294001966568338249754178957718780727630285152409046214355949
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: 665
skew: 3.67
# Murphy_E = 2.588e-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, 22400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2471421 hash collisions in 20532103 relations (18842307 unique)
Msieve: matrix is 582888 x 583113 (195.6 MB)

Sieving start time : 2022/01/04 20:34:12
Sieving end time  : 2022/01/04 22:48:12

Total sieving time: 2hrs 14min 0secs.

Total relation processing time: 0hrs 5min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

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)

2×10170+1339

c128

name 名前Bob Backstrom
date 日付January 1, 2022 16:34:13 UTC 2022 年 1 月 2 日 (日) 1 時 34 分 13 秒 (日本時間)
composite number 合成数
95354156851886980247774650503092086260761212485719399302820185914405260379830765726317641402968464336702946240567097701436785789<128>
prime factors 素因数
968843036374434597259009881503819037912589<42>
98420645318066656935884199628808793270992713335852723816385456941964050072017439818801<86>
factorization results 素因数分解の結果
CADO

STA:Sat 01 Jan 2022 21:39:55 AEDT (95,354,156,851,886,980,247,774,650,503,092,086,260,761,212,485,719,399,302,820,185,914,405,260,379,830,765,726,317,641,402,968,464,336,702,946,240,567,097,701,436,785,789 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 95354156851886980247774650503092086260761212485719399302820185914405260379830765726317641402968464336702946240567097701436785789 2>&1 | tee -a log144

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.xh3w1q0n
Info:Database: Opened connection to database /tmp/cado.xh3w1q0n/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9535415685188698024777465050309208626076121248571939930282018591440526037983076572631
7641402968464336702946240567097701436785789
Debug:root: Root parameter dictionary:
N = 95354156851886980247774650503092086260761212485719399302820185914405260379830765726317641402968464336702946240567097701436785789
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 95354156851886980247774650503092086260761212485719399302820185914405260379830765726317641402968464336702946240567097701436785789
skew: 53672.193
c0: 86278722181115847960240965450
c1: -2885498198335770593179625
c2: -289575113016130676152
c3: 253248942940371
c4: -17787317574
c5: 244440
Y0: -3789165002040537673906251
Y1: 62353533421483553
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.08e-09
# f(x) = 244440*x^5-17787317574*x^4+253248942940371*x^3-289575113016130676152*x^2-2885498198335770593179625*x+86278722181115847960240965450
# g(x) = 62353533421483553*x-3789165002040537673906251
...
Info:Square Root: finished
Info:Square Root: Factors: 98420645318066656935884199628808793270992713335852723816385456941964050072017439818801 968843036374434597259009881503819037912589
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1547.16/215.073
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38507/37.130/45.662/49.880/0.862
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38507/36.920/41.019/46.460/1.056
Info:Polynomial Selection (size optimized): Total time: 5814.45
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1958.41
Info:Polynomial Selection (root optimized): Rootsieve time: 1957.45
Info:Generate Factor Base: Total cpu/real time for makefb: 59.19/5.23516
Info:Generate Free Relations: Total cpu/real time for freerel: 304.63/20.3698
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19272434
Info:Lattice Sieving: Average J: 7580.88 for 66819 special-q, max bucket fill: 0.619974
Info:Lattice Sieving: Total CPU time: 216571s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.87/69.3867
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 69.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 331.67/101.371
Info:Filtering - Singleton removal: Total cpu/real time for purge: 205.46/80.9178
Info:Filtering - Merging: Total cpu/real time for merge: 846.98/733.316
Info:Filtering - Merging: Total cpu/real time for replay: 67.05/55.9569
Info:Linear Algebra: Total cpu/real time for bwc: 49598.8/0.000149727
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2130.41
Info:Linear Algebra: Lingen CPU time 327.24, WCT time 32.11
Info:Linear Algebra: Mksol: WCT time 1153.3
Info:Quadratic Characters: Total cpu/real time for characters: 54.78/12.9802
Info:Square Root: Total cpu/real time for sqrt: 1547.16/215.073
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 277409/20114.3
Info:root: Cleaning up computation data in /tmp/cado.xh3w1q0n
98420645318066656935884199628808793270992713335852723816385456941964050072017439818801 968843036374434597259009881503819037912589

END:Sun 02 Jan 2022 03:15:10 AEDT (95,354,156,851,886,980,247,774,650,503,092,086,260,761,212,485,719,399,302,820,185,914,405,260,379,830,765,726,317,641,402,968,464,336,702,946,240,567,097,701,436,785,789 - C128)

ECM

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

2×10172+1339

c103

name 名前Ignacio Santos
date 日付December 29, 2021 11:21:19 UTC 2021 年 12 月 29 日 (水) 20 時 21 分 19 秒 (日本時間)
composite number 合成数
4403009493209226520414078523044396696514643512035629976159190729920550576014258692667671704961687893357<103>
prime factors 素因数
236081198039831534221140855137849578654447<42>
18650403038306982640589974323163055365493303493737917933106531<62>
factorization results 素因数分解の結果
prp62 = 18650403038306982640589974323163055365493303493737917933106531
prp42 = 236081198039831534221140855137849578654447
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)

2×10174+1339

c158

name 名前Bob Backstrom
date 日付January 5, 2022 21:43:23 UTC 2022 年 1 月 6 日 (木) 6 時 43 分 23 秒 (日本時間)
composite number 合成数
21801842861403573318552653812801040418974170618558534472713933132976160257617547109550475978429036503552376203418868234709097188922317633871981336293902441107<158>
prime factors 素因数
169035569573436567714535354476298009873199<42>
38992042633545961975808784258740246445081611<44>
3307799042025554922853035623020963047955711529710223977913506920458555063<73>
factorization results 素因数分解の結果
Number: n
N=21801842861403573318552653812801040418974170618558534472713933132976160257617547109550475978429036503552376203418868234709097188922317633871981336293902441107  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:

Thu Jan  6 08:37:44 2022  found factor: 3307799042025554922853035623020963047955711529710223977913506920458555063
Thu Jan  6 08:38:23 2022  p42 factor: 169035569573436567714535354476298009873199
Thu Jan  6 08:38:23 2022  p44 factor: 38992042633545961975808784258740246445081611
Thu Jan  6 08:38:23 2022  p73 factor: 3307799042025554922853035623020963047955711529710223977913506920458555063
Thu Jan  6 08:38:23 2022  elapsed time 00:21:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 2x10^174+133 = 4(172)74
#
n: 21801842861403573318552653812801040418974170618558534472713933132976160257617547109550475978429036503552376203418868234709097188922317633871981336293902441107
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 665
skew: 3.67
# Murphy_E = 1.636e-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, 80500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2982476 hash collisions in 29947705 relations (28845776 unique)
Msieve: matrix is 855088 x 855313 (288.3 MB)

Sieving start time : 2022/01/05 22:43:16
Sieving end time  : 2022/01/06 08:12:54

Total sieving time: 9hrs 29min 38secs.

Total relation processing time: 0hrs 11min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 56sec.

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) ----------
[    0.117851] 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 4, 2022 11:47:33 UTC 2022 年 1 月 4 日 (火) 20 時 47 分 33 秒 (日本時間)

2×10175+1339

c129

name 名前Ignacio Santos
date 日付January 11, 2022 18:39:32 UTC 2022 年 1 月 12 日 (水) 3 時 39 分 32 秒 (日本時間)
composite number 合成数
187227306790394081206985806390952077410092991201793840859126614837181345319470296790925677368089779998878656451943610714826318377<129>
prime factors 素因数
6834310025665348672793651576995127074582668607799185232023<58>
27395202454569174978702377473220820191861361909183911268604599232084799<71>
factorization results 素因数分解の結果
N=187227306790394081206985806390952077410092991201793840859126614837181345319470296790925677368089779998878656451943610714826318377
  ( 129 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=6834310025665348672793651576995127074582668607799185232023 (pp58)
 r2=27395202454569174978702377473220820191861361909183911268604599232084799 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 51.75 hours.
Scaled time: 404.30 units (timescale=7.813).
Factorization parameters were as follows:
n: 187227306790394081206985806390952077410092991201793840859126614837181345319470296790925677368089779998878656451943610714826318377
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: 133
skew: 2.32
# Murphy_E = 1.465e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1222535 x 1222765
Total sieving time: 51.41 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 51.75 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 4, 2022 11:55:34 UTC 2022 年 1 月 4 日 (火) 20 時 55 分 34 秒 (日本時間)

2×10177+1339

c169

name 名前Bob Backstrom
date 日付January 4, 2022 00:27:05 UTC 2022 年 1 月 4 日 (火) 9 時 27 分 5 秒 (日本時間)
composite number 合成数
1267876864896862581706747636427593605255353662203463071134730414584812062082977746965073480935285199591372668732541426699019866711896145218878404288924157800002784384383<169>
prime factors 素因数
58469007494432548477570865065070530822282315420503791447<56>
21684597006672133511498492058833102263486103076114335350613118394746622186337572910230345773588440989230684004889<113>
factorization results 素因数分解の結果
Number: n
N=1267876864896862581706747636427593605255353662203463071134730414584812062082977746965073480935285199591372668732541426699019866711896145218878404288924157800002784384383  ( 169 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Jan  4 11:22:17 2022  p56 factor: 58469007494432548477570865065070530822282315420503791447
Tue Jan  4 11:22:17 2022  p113 factor: 21684597006672133511498492058833102263486103076114335350613118394746622186337572910230345773588440989230684004889
Tue Jan  4 11:22:17 2022  elapsed time 00:19:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 2x10^177+133 = 4(175)74
#
n: 1267876864896862581706747636427593605255353662203463071134730414584812062082977746965073480935285199591372668732541426699019866711896145218878404288924157800002784384383
m: 100000000000000000000000000000000000
deg: 5
c5: 200
c0: 133
skew: 0.92
# Murphy_E = 1.131e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4822124 hash collisions in 31663007 relations (28369825 unique)
Msieve: matrix is 868986 x 869215 (294.5 MB)

Sieving start time : 2022/01/04 09:11:21
Sieving end time  : 2022/01/04 11:02:09

Total sieving time: 1hrs 50min 48secs.

Total relation processing time: 0hrs 11min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
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)
403e62350Ignacio SantosJanuary 2, 2022 22:44:36 UTC 2022 年 1 月 3 日 (月) 7 時 44 分 36 秒 (日本時間)

2×10178+1339

c168

name 名前Bob Backstrom
date 日付January 4, 2022 07:04:41 UTC 2022 年 1 月 4 日 (火) 16 時 4 分 41 秒 (日本時間)
composite number 合成数
294260179502036696092014145051340885256035517571255712063162546865451766842985437348810419114458659228709313572580295482545409753721090717950662322651884956532048347753<168>
prime factors 素因数
11092302973444036745854279583386023219608568844303458231993272166831891667884740759<83>
26528321504246848211138585842211592515793467669517108575368805580922714255926898599167<86>
factorization results 素因数分解の結果
Number: n
N=294260179502036696092014145051340885256035517571255712063162546865451766842985437348810419114458659228709313572580295482545409753721090717950662322651884956532048347753  ( 168 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Jan  4 17:59:44 2022  p83 factor: 11092302973444036745854279583386023219608568844303458231993272166831891667884740759
Tue Jan  4 17:59:44 2022  p86 factor: 26528321504246848211138585842211592515793467669517108575368805580922714255926898599167
Tue Jan  4 17:59:44 2022  elapsed time 00:27:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 2x10^178+133 = 4(176)74
#
n: 294260179502036696092014145051340885256035517571255712063162546865451766842985437348810419114458659228709313572580295482545409753721090717950662322651884956532048347753
m: 100000000000000000000000000000000000
deg: 5
c5: 2000
c0: 133
skew: 0.58
# Murphy_E = 8.543e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2781866 hash collisions in 21306627 relations (19626431 unique)
Msieve: matrix is 1079884 x 1080109 (377.1 MB)

Sieving start time : 2022/01/04 16:06:01
Sieving end time  : 2022/01/04 17:31:45

Total sieving time: 1hrs 25min 44secs.

Total relation processing time: 0hrs 19min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
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)
403e62350Ignacio SantosJanuary 2, 2022 23:27:51 UTC 2022 年 1 月 3 日 (月) 8 時 27 分 51 秒 (日本時間)

2×10179+1339

c170

name 名前Bob Backstrom
date 日付January 16, 2022 08:26:23 UTC 2022 年 1 月 16 日 (日) 17 時 26 分 23 秒 (日本時間)
composite number 合成数
30823872670363471427699722847195120235852203045083569029347192015270098435656697978267015486932820940453613459097649766770913142745262943670768553984633375682359878700053<170>
prime factors 素因数
69588017884942961509254631967526967870805522736743<50>
442947990289474193615258026976102759786921263454220560299097630004371775039370155140010511110757251685040301815408219171<120>
factorization results 素因数分解の結果
Number: n
N=30823872670363471427699722847195120235852203045083569029347192015270098435656697978267015486932820940453613459097649766770913142745262943670768553984633375682359878700053  ( 170 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sun Jan 16 19:20:46 2022  p50 factor: 69588017884942961509254631967526967870805522736743
Sun Jan 16 19:20:46 2022  p120 factor: 442947990289474193615258026976102759786921263454220560299097630004371775039370155140010511110757251685040301815408219171
Sun Jan 16 19:20:46 2022  elapsed time 00:18:41 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.290).
Factorization parameters were as follows:
#
# N = 2x10^179+133 = 4(177)74
#
n: 30823872670363471427699722847195120235852203045083569029347192015270098435656697978267015486932820940453613459097649766770913142745262943670768553984633375682359878700053
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 665
skew: 3.67
# Murphy_E = 1.03e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3179257 hash collisions in 29807524 relations (28458426 unique)
Msieve: matrix is 771662 x 771896 (265.0 MB)

Sieving start time : 2022/01/16 16:15:53
Sieving end time  : 2022/01/16 19:01:03

Total sieving time: 2hrs 45min 10secs.

Total relation processing time: 0hrs 9min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
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 13:33:49 UTC 2022 年 1 月 5 日 (水) 22 時 33 分 49 秒 (日本時間)

2×10180+1339

c176

name 名前Bob Backstrom
date 日付January 14, 2022 05:07:01 UTC 2022 年 1 月 14 日 (金) 14 時 7 分 1 秒 (日本時間)
composite number 合成数
14578640833315110032291689445792968721526092122431425718180294051185607965769351323376121644179113181278109441856735696531012413712669567816192496373563092712866379467442250359<176>
prime factors 素因数
26289165509028845406029820163860062588469238967223348338588330548760738336810359<80>
554549395198876482900672457745395742770727553870474240468445185587991467280761921303650472160001<96>
factorization results 素因数分解の結果
Number: n
N=14578640833315110032291689445792968721526092122431425718180294051185607965769351323376121644179113181278109441856735696531012413712669567816192496373563092712866379467442250359  ( 176 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Jan 14 16:00:13 2022  p80 factor: 26289165509028845406029820163860062588469238967223348338588330548760738336810359
Fri Jan 14 16:00:13 2022  p96 factor: 554549395198876482900672457745395742770727553870474240468445185587991467280761921303650472160001
Fri Jan 14 16:00:13 2022  elapsed time 00:20:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 2x10^180+133 = 4(178)74
#
n: 14578640833315110032291689445792968721526092122431425718180294051185607965769351323376121644179113181278109441856735696531012413712669567816192496373563092712866379467442250359
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 133
skew: 2.32
# Murphy_E = 9.218e-11
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3489761 hash collisions in 30855101 relations (29229605 unique)
Msieve: matrix is 846333 x 846559 (286.9 MB)

Sieving start time : 2022/01/14 11:38:37
Sieving end time  : 2022/01/14 15:38:49

Total sieving time: 4hrs 0min 12secs.

Total relation processing time: 0hrs 11min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
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 14:09:06 UTC 2022 年 1 月 5 日 (水) 23 時 9 分 6 秒 (日本時間)

2×10181+1339

c145

name 名前Eric Jeancolas
date 日付January 23, 2022 04:35:53 UTC 2022 年 1 月 23 日 (日) 13 時 35 分 53 秒 (日本時間)
composite number 合成数
2538194347415999420142946008954225663521880200615341783093844461989777620133136812232921617953963517555659962313572715922397603566797145193834153<145>
prime factors 素因数
88547700763266035116189118748533797628965563375258232690970359267<65>
28664712076510155382442406043447006826604099550840296495294196402162414306752259<80>
factorization results 素因数分解の結果
2538194347415999420142946008954225663521880200615341783093844461989777620133136812232921617953963517555659962313572715922397603566797145193834153=88547700763266035116189118748533797628965563375258232690970359267*28664712076510155382442406043447006826604099550840296495294196402162414306752259

cado polynomial
n: 2538194347415999420142946008954225663521880200615341783093844461989777620133136812232921617953963517555659962313572715922397603566797145193834153
skew: 1.46
type: snfs
c0: 133
c5: 20
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^5+133
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7400000
tasks.lim1 = 7400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 88547700763266035116189118748533797628965563375258232690970359267 28664712076510155382442406043447006826604099550840296495294196402162414306752259
Info:Square Root: Total cpu/real time for sqrt: 313.49/99.9764
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.5/108.214
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22407673
Info:Lattice Sieving: Average J: 1894.04 for 1310788 special-q, max bucket fill -bkmult 1.0,1s:1.222940
Info:Lattice Sieving: Total time: 213700s
Info:Linear Algebra: Total cpu/real time for bwc: 28443.8/7295.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18120.28, WCT time 4632.72, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations)
Info:Linear Algebra: Lingen CPU time 256.28, WCT time 65.06
Info:Linear Algebra: Mksol: CPU time 9835.06,  WCT time 2510.01, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.62/102.042
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.29/181.899
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.51/32.1597
Info:Filtering - Merging: Merged matrix has 1332635 rows and total weight 227503467 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 336.7/93.5095
Info:Filtering - Merging: Total cpu/real time for replay: 47.77/40.7556
Info:Generate Factor Base: Total cpu/real time for makefb: 3.16/1.75557
Info:Quadratic Characters: Total cpu/real time for characters: 45.41/18.4117
Info:Square Root: Total cpu/real time for sqrt: 313.49/99.9764
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 428543/115256
Info:root: Cleaning up computation data in /tmp/cado.imegpi4v
88547700763266035116189118748533797628965563375258232690970359267 28664712076510155382442406043447006826604099550840296495294196402162414306752259
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 5, 2022 19:23:08 UTC 2022 年 1 月 6 日 (木) 4 時 23 分 8 秒 (日本時間)

2×10182+1339

c165

name 名前Eric Jeancolas
date 日付January 24, 2022 13:41:29 UTC 2022 年 1 月 24 日 (月) 22 時 41 分 29 秒 (日本時間)
composite number 合成数
195466096325766608970409967508501431953953714779975463546837941031975432646672926551452871124116344199274598203721383730751690181544663619494972784720349601369565461<165>
prime factors 素因数
38945786556004171833078087914067577246007981413079780911307<59>
5018927940887410404489190405625455769669578576203975427427395139572329340645803646526523177690518342392223<106>
factorization results 素因数分解の結果
195466096325766608970409967508501431953953714779975463546837941031975432646672926551452871124116344199274598203721383730751690181544663619494972784720349601369565461=38945786556004171833078087914067577246007981413079780911307*5018927940887410404489190405625455769669578576203975427427395139572329340645803646526523177690518342392223

cado polynomial
n: 195466096325766608970409967508501431953953714779975463546837941031975432646672926551452871124116344199274598203721383730751690181544663619494972784720349601369565461
skew: 0.92
type: snfs
c0: 133
c5: 200
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 200*x^5+133
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7600000
tasks.lim1 = 7600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 38945786556004171833078087914067577246007981413079780911307 5018927940887410404489190405625455769669578576203975427427395139572329340645803646526523177690518342392223
Info:Square Root: Total cpu/real time for sqrt: 312/98.6051
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.2/107.668
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22407376
Info:Lattice Sieving: Average J: 1894.33 for 1260742 special-q, max bucket fill -bkmult 1.0,1s:1.176560
Info:Lattice Sieving: Total time: 209659s
Info:Linear Algebra: Total cpu/real time for bwc: 26847.7/6893.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17109.94, WCT time 4382.67, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40704 iterations)
Info:Linear Algebra: Lingen CPU time 245.21, WCT time 62.21
Info:Linear Algebra: Mksol: CPU time 9272.77,  WCT time 2367.75, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.44/32.1448
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.97/106.064
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.9s
Info:Filtering - Merging: Merged matrix has 1296411 rows and total weight 220693464 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 323.12/89.5791
Info:Filtering - Merging: Total cpu/real time for replay: 46.6/40.0747
Info:Generate Factor Base: Total cpu/real time for makefb: 3.25/1.7614
Info:Quadratic Characters: Total cpu/real time for characters: 43.97/17.8017
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.07/183.96
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.9s
Info:Square Root: Total cpu/real time for sqrt: 312/98.6051
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 419529/112771
Info:root: Cleaning up computation data in /tmp/cado.u98ix1jg
38945786556004171833078087914067577246007981413079780911307 5018927940887410404489190405625455769669578576203975427427395139572329340645803646526523177690518342392223
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 6, 2022 15:12:34 UTC 2022 年 1 月 7 日 (金) 0 時 12 分 34 秒 (日本時間)

2×10183+1339

c165

name 名前Ignacio Santos
date 日付January 5, 2022 21:19:35 UTC 2022 年 1 月 6 日 (木) 6 時 19 分 35 秒 (日本時間)
composite number 合成数
499323572389569930421461406890159313704986144220505595385215518944026495401240560009331499783574386433623361032801325136342539339146957675683428265868654342272449991<165>
prime factors 素因数
90189553368745501222498731477883975695667<41>
5536379256121326897641437936466160518909542130254748732243676443976163436500493777600130939446136628224002205676550035698973<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1976966979
Step 1 took 7078ms
Step 2 took 3797ms
********** Factor found in step 2: 90189553368745501222498731477883975695667
Found prime factor of 41 digits: 90189553368745501222498731477883975695667
Prime cofactor 5536379256121326897641437936466160518909542130254748732243676443976163436500493777600130939446136628224002205676550035698973 has 124 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)

2×10184+1339

c172

name 名前Bob Backstrom
date 日付January 14, 2022 19:22:00 UTC 2022 年 1 月 15 日 (土) 4 時 22 分 0 秒 (日本時間)
composite number 合成数
1020682963008468684593002636081696011684309955990622238773073105934607637604091206657920482086844497673410324700664884630894409047169496692087954967130666640094166396932043<172>
prime factors 素因数
513517632129425185670813881928910057063131842205923184154225730892534752483<75>
1987629828358492128684798236892416756889399834206647852096326909956829850291689876759627058595321<97>
factorization results 素因数分解の結果
Number: n
N=1020682963008468684593002636081696011684309955990622238773073105934607637604091206657920482086844497673410324700664884630894409047169496692087954967130666640094166396932043  ( 172 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sat Jan 15 06:17:01 2022  p75 factor: 513517632129425185670813881928910057063131842205923184154225730892534752483
Sat Jan 15 06:17:01 2022  p97 factor: 1987629828358492128684798236892416756889399834206647852096326909956829850291689876759627058595321
Sat Jan 15 06:17:01 2022  elapsed time 00:23:25 (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 = 2x10^184+133 = 4(182)74
#
n: 1020682963008468684593002636081696011684309955990622238773073105934607637604091206657920482086844497673410324700664884630894409047169496692087954967130666640094166396932043
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 665
skew: 3.67
# Murphy_E = 6.457e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3354090 hash collisions in 30529177 relations (29037833 unique)
Msieve: matrix is 971369 x 971595 (336.5 MB)

Sieving start time : 2022/01/15 03:06:21
Sieving end time  : 2022/01/15 05:52:32

Total sieving time: 2hrs 46min 11secs.

Total relation processing time: 0hrs 14min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
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 22:34:16 UTC 2022 年 1 月 6 日 (木) 7 時 34 分 16 秒 (日本時間)

2×10188+1339

c161

name 名前Ignacio Santos
date 日付January 6, 2022 15:58:26 UTC 2022 年 1 月 7 日 (金) 0 時 58 分 26 秒 (日本時間)
composite number 合成数
10675334770502161760748104359061242551920034339154577151735979751067733168196009226474846264005478401911672256037111347060383816120074219054129261218878030646893<161>
prime factors 素因数
6163555554695878120898212481189086871<37>
1732009174861554995041905961287651171762277672798774395880704643106819747829208676345028463300698168607577911145076751734683<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1323822299
Step 1 took 7140ms
Step 2 took 266ms
********** Factor found in step 2: 6163555554695878120898212481189086871
Found prime factor of 37 digits: 6163555554695878120898212481189086871
Prime cofactor 1732009174861554995041905961287651171762277672798774395880704643106819747829208676345028463300698168607577911145076751734683 has 124 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)

2×10191+1339

c161

name 名前Eric Jeancolas
date 日付January 27, 2022 11:27:45 UTC 2022 年 1 月 27 日 (木) 20 時 27 分 45 秒 (日本時間)
composite number 合成数
53810990889304825289487850032126658684970650332265924886236587761209110047343815151645858609347368132092698044841928174250390721385434441563325729880445842197959<161>
prime factors 素因数
585475900251157079574224313599348255346393321134372094059<57>
91909830731241064950526658141904592243441819575602716242565918775230662968423371958922416466741284622101<104>
factorization results 素因数分解の結果
53810990889304825289487850032126658684970650332265924886236587761209110047343815151645858609347368132092698044841928174250390721385434441563325729880445842197959=585475900251157079574224313599348255346393321134372094059*91909830731241064950526658141904592243441819575602716242565918775230662968423371958922416466741284622101

cado polynomial
n: 53810990889304825289487850032126658684970650332265924886236587761209110047343815151645858609347368132092698044841928174250390721385434441563325729880445842197959
skew: 1.46
type: snfs
c0: 133
c5: 20
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^5+133
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 585475900251157079574224313599348255346393321134372094059 91909830731241064950526658141904592243441819575602716242565918775230662968423371958922416466741284622101
Info:Square Root: Total cpu/real time for sqrt: 583.5/185.419
Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.67/395.23
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26830755
Info:Lattice Sieving: Average J: 1893.79 for 2871988 special-q, max bucket fill -bkmult 1.0,1s:1.142300
Info:Lattice Sieving: Total time: 562328s
Info:Linear Algebra: Total cpu/real time for bwc: 88782.2/22721
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 56882.35, WCT time 14517.6, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71168 iterations)
Info:Linear Algebra: Lingen CPU time 499.05, WCT time 126.43
Info:Linear Algebra: Mksol: CPU time 30615.67,  WCT time 7818.13, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.07/32.2585
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 111.84/130.462
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 129.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 455.12/456.261
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 368.90000000000003s
Info:Filtering - Merging: Merged matrix has 2261936 rows and total weight 387283295 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 615.98/170.088
Info:Filtering - Merging: Total cpu/real time for replay: 87.37/75.4294
Info:Generate Factor Base: Total cpu/real time for makefb: 4.55/2.30525
Info:Quadratic Characters: Total cpu/real time for characters: 78.79/33.9972
Info:Square Root: Total cpu/real time for sqrt: 583.5/185.419
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.14215e+06/305422
Info:root: Cleaning up computation data in /tmp/cado.ic03j5_n
585475900251157079574224313599348255346393321134372094059 91909830731241064950526658141904592243441819575602716242565918775230662968423371958922416466741284622101
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 8, 2022 12:04:40 UTC 2022 年 1 月 8 日 (土) 21 時 4 分 40 秒 (日本時間)

2×10194+1339

c181

name 名前Ignacio Santos
date 日付January 10, 2022 20:30:16 UTC 2022 年 1 月 11 日 (火) 5 時 30 分 16 秒 (日本時間)
composite number 合成数
2152669968121659056593370238490413081210531189522750015923365015076833109867534102874078196699872457665956236855301253237972836731916780590302677262087271863472999564428934727903549<181>
prime factors 素因数
14442996962728500731819071330339753<35>
composite cofactor 合成数の残り
149045933726692906355457118234260209235523093939384441960466223267184757102459206332688763870938134232434506925033121771042309845889658981795138933<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2904134224
Step 1 took 5953ms
Step 2 took 3406ms
********** Factor found in step 2: 14442996962728500731819071330339753
Found prime factor of 35 digits: 14442996962728500731819071330339753
Composite cofactor 149045933726692906355457118234260209235523093939384441960466223267184757102459206332688763870938134232434506925033121771042309845889658981795138933 has 147 digits
 
software ソフトウェア
GMP-ECM

c147

name 名前Eric Jeancolas
date 日付January 26, 2022 08:55:39 UTC 2022 年 1 月 26 日 (水) 17 時 55 分 39 秒 (日本時間)
composite number 合成数
149045933726692906355457118234260209235523093939384441960466223267184757102459206332688763870938134232434506925033121771042309845889658981795138933<147>
prime factors 素因数
957341627085659825885594623597216463865305012312009633893741<60>
155687300656108166169459453700011948664951523046421983537733029494881396284986230678313<87>
factorization results 素因数分解の結果
149045933726692906355457118234260209235523093939384441960466223267184757102459206332688763870938134232434506925033121771042309845889658981795138933=957341627085659825885594623597216463865305012312009633893741*155687300656108166169459453700011948664951523046421983537733029494881396284986230678313

cado polynomial
n: 149045933726692906355457118234260209235523093939384441960466223267184757102459206332688763870938134232434506925033121771042309845889658981795138933
skew: 3.67
type: snfs
c0: 665
c5: 1
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = x^5+665
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 957341627085659825885594623597216463865305012312009633893741 155687300656108166169459453700011948664951523046421983537733029494881396284986230678313
Info:Square Root: Total cpu/real time for sqrt: 538.17/171.926
Info:Generate Free Relations: Total cpu/real time for freerel: 118.04/31.7398
Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.84/473.946
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28120534
Info:Lattice Sieving: Average J: 1893.33 for 2739909 special-q, max bucket fill -bkmult 1.0,1s:1.127030
Info:Lattice Sieving: Total time: 706382s
Info:Linear Algebra: Total cpu/real time for bwc: 96614.2/24783
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 61821.23, WCT time 15795.12, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
Info:Linear Algebra: Lingen CPU time 511.36, WCT time 129.64
Info:Linear Algebra: Mksol: CPU time 33444.64,  WCT time 8574.66, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.22/137.585
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 136.8s
Info:Filtering - Merging: Merged matrix has 2367385 rows and total weight 404636577 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 652.34/180.075
Info:Filtering - Merging: Total cpu/real time for replay: 90.65/78.4902
Info:Generate Factor Base: Total cpu/real time for makefb: 5.19/2.50622
Info:Quadratic Characters: Total cpu/real time for characters: 81.98/35.1122
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 512.86/525.577
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.09999999999997s
Info:Square Root: Total cpu/real time for sqrt: 538.17/171.926
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.44935e+06/206851
Info:root: Cleaning up computation data in /tmp/cado.quu1_v1l
957341627085659825885594623597216463865305012312009633893741 155687300656108166169459453700011948664951523046421983537733029494881396284986230678313
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 12, 2022 14:43:32 UTC 2022 年 1 月 12 日 (水) 23 時 43 分 32 秒 (日本時間)

2×10197+1339

c150

name 名前Eric Jeancolas
date 日付January 30, 2022 22:09:21 UTC 2022 年 1 月 31 日 (月) 7 時 9 分 21 秒 (日本時間)
composite number 合成数
314151549836132326257674578969868465460886125304678774242525900004186006519939651843334526851558189586669952771831099919196758588641517710069592094229<150>
prime factors 素因数
2247349428375367544894459720994462065727239796225617502061723<61>
139787585263603521637379644706378089181069718280074394895297448829904106621629102683710223<90>
factorization results 素因数分解の結果
314151549836132326257674578969868465460886125304678774242525900004186006519939651843334526851558189586669952771831099919196758588641517710069592094229=2247349428375367544894459720994462065727239796225617502061723 139787585263603521637379644706378089181069718280074394895297448829904106621629102683710223

cado polynomial
n: 314151549836132326257674578969868465460886125304678774242525900004186006519939651843334526851558189586669952771831099919196758588641517710069592094229
skew: 0.92
type: snfs
c0: 133
c5: 200
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 200*x^5+133
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2247349428375367544894459720994462065727239796225617502061723 139787585263603521637379644706378089181069718280074394895297448829904106621629102683710223
Info:Square Root: Total cpu/real time for sqrt: 789.68/248.227
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 617.18/636.051
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 510.69999999999993s
Info:Square Root: Total cpu/real time for sqrt: 789.68/248.227
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133.57/156.191
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 155.30000000000004s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.58/31.1155
Info:Linear Algebra: Total cpu/real time for bwc: 140932/36058.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 90396.0, WCT time 23054.29, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88064 iterations)
Info:Linear Algebra: Lingen CPU time 611.55, WCT time 155.18
Info:Linear Algebra: Mksol: CPU time 48874.84,  WCT time 12477.65, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 521.82/612.916
Info:Generate Factor Base: Total cpu/real time for makefb: 5.78/2.72331
Info:Filtering - Merging: Merged matrix has 2817283 rows and total weight 480199399 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 829.37/227.465
Info:Filtering - Merging: Total cpu/real time for replay: 108.82/95.6757
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30880925
Info:Lattice Sieving: Average J: 1893.65 for 4393355 special-q, max bucket fill -bkmult 1.0,1s:1.129590
Info:Lattice Sieving: Total time: 992205s
Info:Quadratic Characters: Total cpu/real time for characters: 95.65/41.2252
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.00464e+06/95655
2247349428375367544894459720994462065727239796225617502061723 139787585263603521637379644706378089181069718280074394895297448829904106621629102683710223
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 12, 2022 20:59:11 UTC 2022 年 1 月 13 日 (木) 5 時 59 分 11 秒 (日本時間)

2×10200+1339

c192

name 名前Bob Backstrom
date 日付January 17, 2022 19:23:01 UTC 2022 年 1 月 18 日 (火) 4 時 23 分 1 秒 (日本時間)
composite number 合成数
742410694610173711815641784850189929628783405172889799960445100601864554808174421344966730739308048955793604347907445485033258384375275005161517552940406459684272553947839212002913026538869723<192>
prime factors 素因数
2212084938715205959611403441723411538059183013276007696824950293420919661344053389393<85>
335615817284742652659272333105187424396191091805091013037639537843208406221808414462855291713281635402504811<108>
factorization results 素因数分解の結果
Number: n
N=742410694610173711815641784850189929628783405172889799960445100601864554808174421344966730739308048955793604347907445485033258384375275005161517552940406459684272553947839212002913026538869723  ( 192 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Jan 18 06:16:46 2022  p85 factor: 2212084938715205959611403441723411538059183013276007696824950293420919661344053389393
Tue Jan 18 06:16:46 2022  p108 factor: 335615817284742652659272333105187424396191091805091013037639537843208406221808414462855291713281635402504811
Tue Jan 18 06:16:46 2022  elapsed time 01:27:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 2x10^200+133 = 4(198)74
#
n: 742410694610173711815641784850189929628783405172889799960445100601864554808174421344966730739308048955793604347907445485033258384375275005161517552940406459684272553947839212002913026538869723
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 133
skew: 2.32
# Murphy_E = 1.384e-11
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8247624 hash collisions in 60423037 relations (54635396 unique)
Msieve: matrix is 1882499 x 1882724 (648.8 MB)

Sieving start time : 2022/01/17 18:09:27
Sieving end time  : 2022/01/18 04:46:50

Total sieving time: 10hrs 37min 23secs.
Total relation processing time: 1hrs 10min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
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)
403e62100ebinaDecember 30, 2021 01:39:32 UTC 2021 年 12 月 30 日 (木) 10 時 39 分 32 秒 (日本時間)

2×10203+1339

c177

name 名前Bob Backstrom
date 日付February 6, 2022 18:41:48 UTC 2022 年 2 月 7 日 (月) 3 時 41 分 48 秒 (日本時間)
composite number 合成数
140649171471757228252904745852543006535840956083521655988342548647024621769220409488100408540385643790252651251849852367850665769155789074409138941206979663060879742733809209283<177>
prime factors 素因数
13942180782991710807694816585593855050222804795255963624391432093697671392087<77>
10088032400450394439090167708603124570923845788111288538275622414580234112845025514614294176906651509<101>
factorization results 素因数分解の結果
Number: n
N=140649171471757228252904745852543006535840956083521655988342548647024621769220409488100408540385643790252651251849852367850665769155789074409138941206979663060879742733809209283  ( 177 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Feb  7 05:34:32 2022  p77 factor: 13942180782991710807694816585593855050222804795255963624391432093697671392087
Mon Feb  7 05:34:32 2022  p101 factor: 10088032400450394439090167708603124570923845788111288538275622414580234112845025514614294176906651509
Mon Feb  7 05:34:32 2022  elapsed time 01:36:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 2x10^203+133 = 4(201)74
#
n: 140649171471757228252904745852543006535840956083521655988342548647024621769220409488100408540385643790252651251849852367850665769155789074409138941206979663060879742733809209283
m: 10000000000000000000000000000000000
deg: 6
c6: 1
c0: 665
skew: 2.95
# Murphy_E = 9.68e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
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: 55/55
Sieved  special-q in [100000, 36000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4970654 hash collisions in 32879502 relations (30013102 unique)
Msieve: matrix is 2030619 x 2030844 (711.2 MB)

Sieving start time : 2022/02/06 14:30:37
Sieving end time  : 2022/02/07 03:57:23

Total sieving time: 13hrs 26min 46secs.

Total relation processing time: 1hrs 20min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 03:32:30 UTC 2021 年 12 月 30 日 (木) 12 時 32 分 30 秒 (日本時間)
4511e64480Ignacio SantosFebruary 1, 2022 20:31:35 UTC 2022 年 2 月 2 日 (水) 5 時 31 分 35 秒 (日本時間)

2×10204+1339

c182

name 名前Ray Chandler
date 日付February 2, 2022 16:47:19 UTC 2022 年 2 月 3 日 (木) 1 時 47 分 19 秒 (日本時間)
composite number 合成数
36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067<182>
prime factors 素因数
1478055859018485528591191517276448205266449517770783403<55>
6154045384765873509701190520424485563780093724110875076487<58>
4038106370214897606951637960393382765540534376512965097291972232814847<70>
factorization results 素因数分解の結果
02/01/22 14:55:32, 
02/01/22 14:55:32, ****************************
02/01/22 14:55:32, Starting factorization of 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444494
02/01/22 14:55:32, using pretesting plan: normal
02/01/22 14:55:32, using specified qs/gnfs crossover of 100 digits
02/01/22 14:55:32, using specified qs/snfs crossover of 75 digits
02/01/22 14:55:32, ****************************
02/01/22 14:55:32, div: found prime factor = 2
02/01/22 14:55:32, div: found prime factor = 7573
02/01/22 14:55:32, rho: x^2 + 3, starting 1000 iterations on C200
02/01/22 14:55:32, prp13 = 3719350604213
02/01/22 14:55:32, rho: x^2 + 3, starting 1000 iterations on C187
02/01/22 14:55:32, rho: x^2 + 2, starting 1000 iterations on C187
02/01/22 14:55:33, rho: x^2 + 1, starting 1000 iterations on C187
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, pm1: starting B1 = 150K, B2 = gmp-ecm default on C187
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, current ECM pretesting depth: 0.00
02/01/22 14:55:33, scheduled 30 curves at B1=2000 toward target pretesting depth of 44.75
02/01/22 14:55:33, ecm: commencing 48 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=2k, B2=200k
02/01/22 14:55:33, ecm: finished 384 curves using AVX-ECM method on C187 input, B1=2k, B2=200k
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, current ECM pretesting depth: 17.27
02/01/22 14:55:33, scheduled 74 curves at B1=11000 toward target pretesting depth of 44.75
02/01/22 14:55:33, ecm: commencing 96 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=11k, B2=1100k
02/01/22 14:55:34, ecm: finished 384 curves using AVX-ECM method on C187 input, B1=11k, B2=1100k
02/01/22 14:55:34, nfs: input divides 10^206 + 11150
02/01/22 14:55:34, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:34, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:34, current ECM pretesting depth: 21.28
02/01/22 14:55:34, scheduled 214 curves at B1=50000 toward target pretesting depth of 44.75
02/01/22 14:55:34, ecm: commencing 240 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=50k, B2=5M
02/01/22 14:55:35, ecm: finished 384 curves using AVX-ECM method on C187 input, B1=50k, B2=5M
02/01/22 14:55:35, nfs: input divides 10^206 + 11150
02/01/22 14:55:35, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:35, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:35, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C187
02/01/22 14:55:36, nfs: input divides 10^206 + 11150
02/01/22 14:55:36, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:36, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:36, current ECM pretesting depth: 25.62
02/01/22 14:55:36, scheduled 430 curves at B1=250000 toward target pretesting depth of 44.75
02/01/22 14:55:37, ecm: commencing 432 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=250k, B2=25M
02/01/22 14:55:44, ecm: finished 768 curves using AVX-ECM method on C187 input, B1=250k, B2=25M
02/01/22 14:55:45, nfs: input divides 10^206 + 11150
02/01/22 14:55:45, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:45, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:45, pm1: starting B1 = 15M, B2 = gmp-ecm default on C187
02/01/22 14:55:49, nfs: input divides 10^206 + 11150
02/01/22 14:55:49, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:49, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:49, current ECM pretesting depth: 30.81
02/01/22 14:55:49, scheduled 904 curves at B1=1000000 toward target pretesting depth of 44.75
02/01/22 14:55:51, ecm: commencing 912 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=1M, B2=100M
02/01/22 14:56:32, ecm: finished 1152 curves using AVX-ECM method on C187 input, B1=1M, B2=100M
02/01/22 14:56:32, nfs: input divides 10^206 + 11150
02/01/22 14:56:32, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:56:32, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:56:32, current ECM pretesting depth: 35.72
02/01/22 14:56:32, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 44.75
02/01/22 14:56:34, ecm: commencing 2352 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=3M, B2=300M
02/01/22 15:01:10, ecm: finished 2688 curves using AVX-ECM method on C187 input, B1=3M, B2=300M
02/01/22 15:01:11, nfs: input divides 10^206 + 11150
02/01/22 15:01:11, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:01:11, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:01:11, current ECM pretesting depth: 40.73
02/01/22 15:01:11, scheduled 3610 curves at B1=11000000 toward target pretesting depth of 44.75
02/01/22 15:01:13, ecm: commencing 3648 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=11M, B2=1100M
02/01/22 15:24:38, ecm: finished 3840 curves using AVX-ECM method on C187 input, B1=11M, B2=1100M
02/01/22 15:24:38, nfs: input divides 10^206 + 11150
02/01/22 15:24:38, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, final ECM pretested depth: 45.64
02/01/22 15:24:38, scheduler: switching to sieve method
02/01/22 15:24:38, nfs: commencing nfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, nfs: input divides 10^206 + 11150
02/01/22 15:24:38, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:42, test: fb generation took 3.3820 seconds
02/01/22 15:24:42, test: commencing test sieving of polynomial 0 on the algebraic side over range 19000000-19001000
skew: 2.7862
c6: 2
c0: 223
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 15:25:24, nfs: parsing special-q from .dat file
02/01/22 15:25:24, test: new best estimated total sieving time = 6h 22m 42s (with 48 threads)
02/01/22 15:25:26, test: fb generation took 2.2644 seconds
02/01/22 15:25:26, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20201000
skew: 5.6148
c5: 1
c0: 1115
Y1: -1
Y0: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 15:26:52, nfs: parsing special-q from .dat file
02/01/22 15:26:52, test: estimated total sieving time = 7h 11m 7s (with 48 threads)
02/01/22 15:26:54, test: fb generation took 2.4186 seconds
02/01/22 15:26:54, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21401000
skew: 11.3110
c5: 1
c0: 35680
Y1: -1
Y0: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 15:28:17, nfs: parsing special-q from .dat file
02/01/22 15:28:17, test: estimated total sieving time = 8h 25m 53s (with 48 threads)
02/01/22 15:28:20, test: fb generation took 3.3807 seconds
02/01/22 15:28:20, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000
skew: 2.7862
c6: 2
c0: 223
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
02/01/22 15:29:45, nfs: parsing special-q from .dat file
02/01/22 15:29:45, test: new best estimated total sieving time = 3h 28m 31s (with 48 threads)
02/01/22 15:29:45, nfs: commencing lattice sieving with 48 threads
02/01/22 15:32:35, nfs: commencing lattice sieving with 48 threads
02/01/22 15:35:46, nfs: commencing lattice sieving with 48 threads
02/01/22 15:38:36, nfs: commencing lattice sieving with 48 threads
02/01/22 15:41:35, nfs: commencing lattice sieving with 48 threads
02/01/22 15:44:26, nfs: commencing lattice sieving with 48 threads
02/01/22 15:47:26, nfs: commencing lattice sieving with 48 threads
02/01/22 15:50:18, nfs: commencing lattice sieving with 48 threads
02/01/22 15:53:12, nfs: commencing lattice sieving with 48 threads
02/01/22 15:56:11, nfs: commencing lattice sieving with 48 threads
02/01/22 15:59:13, nfs: commencing lattice sieving with 48 threads
02/01/22 16:02:13, nfs: commencing lattice sieving with 48 threads
02/01/22 16:05:10, nfs: commencing lattice sieving with 48 threads
02/01/22 16:08:11, nfs: commencing lattice sieving with 48 threads
02/01/22 16:11:06, nfs: commencing lattice sieving with 48 threads
02/01/22 16:14:12, nfs: commencing lattice sieving with 48 threads
02/01/22 16:17:09, nfs: commencing lattice sieving with 48 threads
02/01/22 16:20:11, nfs: commencing lattice sieving with 48 threads
02/01/22 16:23:12, nfs: commencing lattice sieving with 48 threads
02/01/22 16:26:15, nfs: commencing lattice sieving with 48 threads
02/01/22 16:29:15, nfs: commencing lattice sieving with 48 threads
02/01/22 16:32:24, nfs: commencing lattice sieving with 48 threads
02/01/22 16:35:19, nfs: commencing lattice sieving with 48 threads
02/01/22 16:38:22, nfs: commencing lattice sieving with 48 threads
02/01/22 16:41:24, nfs: commencing lattice sieving with 48 threads
02/01/22 16:44:27, nfs: commencing lattice sieving with 48 threads
02/01/22 16:47:31, nfs: commencing lattice sieving with 48 threads
02/01/22 16:50:31, nfs: commencing lattice sieving with 48 threads
02/01/22 16:53:32, nfs: commencing lattice sieving with 48 threads
02/01/22 16:56:44, nfs: commencing lattice sieving with 48 threads
02/01/22 16:59:39, nfs: commencing lattice sieving with 48 threads
02/01/22 17:02:40, nfs: commencing lattice sieving with 48 threads
02/01/22 17:05:42, nfs: commencing lattice sieving with 48 threads
02/01/22 17:08:44, nfs: commencing lattice sieving with 48 threads
02/01/22 17:11:41, nfs: commencing lattice sieving with 48 threads
02/01/22 17:14:47, nfs: commencing lattice sieving with 48 threads
02/01/22 17:17:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:20:48, nfs: commencing lattice sieving with 48 threads
02/01/22 17:23:47, nfs: commencing lattice sieving with 48 threads
02/01/22 17:26:46, nfs: commencing lattice sieving with 48 threads
02/01/22 17:29:46, nfs: commencing lattice sieving with 48 threads
02/01/22 17:32:48, nfs: commencing lattice sieving with 48 threads
02/01/22 17:35:45, nfs: commencing lattice sieving with 48 threads
02/01/22 17:38:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:41:57, nfs: commencing lattice sieving with 48 threads
02/01/22 17:44:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:47:49, nfs: commencing lattice sieving with 48 threads
02/01/22 17:50:54, nfs: commencing lattice sieving with 48 threads
02/01/22 17:53:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:56:52, nfs: commencing lattice sieving with 48 threads
02/01/22 17:59:53, nfs: commencing lattice sieving with 48 threads
02/01/22 18:02:51, nfs: commencing lattice sieving with 48 threads
02/01/22 18:05:57, nfs: commencing lattice sieving with 48 threads
02/01/22 18:09:01, nfs: commencing lattice sieving with 48 threads
02/01/22 18:12:04, nfs: commencing lattice sieving with 48 threads
02/01/22 18:15:07, nfs: commencing lattice sieving with 48 threads
02/01/22 18:18:09, nfs: commencing lattice sieving with 48 threads
02/01/22 18:21:13, nfs: commencing lattice sieving with 48 threads
02/01/22 18:24:23, nfs: commencing lattice sieving with 48 threads
02/01/22 18:27:19, nfs: commencing lattice sieving with 48 threads
02/01/22 18:30:26, nfs: commencing lattice sieving with 48 threads
02/01/22 18:33:32, nfs: commencing lattice sieving with 48 threads
02/01/22 18:36:31, nfs: commencing lattice sieving with 48 threads
02/01/22 18:39:37, nfs: commencing lattice sieving with 48 threads
02/01/22 18:42:45, nfs: commencing lattice sieving with 48 threads
02/01/22 18:45:48, nfs: commencing lattice sieving with 48 threads
02/01/22 18:48:52, nfs: commencing lattice sieving with 48 threads
02/01/22 18:52:02, nfs: commencing lattice sieving with 48 threads
02/01/22 18:55:03, nfs: commencing lattice sieving with 48 threads
02/01/22 18:58:03, nfs: commencing lattice sieving with 48 threads
02/01/22 19:01:04, nfs: commencing lattice sieving with 48 threads
02/01/22 19:04:06, nfs: commencing lattice sieving with 48 threads
02/01/22 19:07:15, nfs: commencing lattice sieving with 48 threads
02/01/22 19:10:17, nfs: commencing lattice sieving with 48 threads
02/01/22 19:13:17, nfs: commencing lattice sieving with 48 threads
02/01/22 19:16:15, nfs: commencing lattice sieving with 48 threads
02/01/22 19:19:18, nfs: commencing lattice sieving with 48 threads
02/01/22 19:22:20, nfs: commencing lattice sieving with 48 threads
02/01/22 19:25:37, nfs: commencing lattice sieving with 48 threads
02/01/22 19:28:45, nfs: commencing lattice sieving with 48 threads
02/01/22 19:31:57, nfs: commencing lattice sieving with 48 threads
02/01/22 19:35:02, nfs: commencing lattice sieving with 48 threads
02/01/22 19:37:58, nfs: commencing lattice sieving with 48 threads
02/01/22 19:40:59, nfs: commencing lattice sieving with 48 threads
02/01/22 19:44:07, nfs: commencing lattice sieving with 48 threads
02/01/22 19:47:13, nfs: commencing lattice sieving with 48 threads
02/01/22 19:50:16, nfs: commencing lattice sieving with 48 threads
02/01/22 19:53:27, nfs: commencing lattice sieving with 48 threads
02/01/22 19:56:32, nfs: commencing lattice sieving with 48 threads
02/01/22 19:59:36, nfs: commencing lattice sieving with 48 threads
02/01/22 20:02:38, nfs: commencing lattice sieving with 48 threads
02/01/22 20:05:44, nfs: commencing lattice sieving with 48 threads
02/01/22 20:08:53, nfs: commencing lattice sieving with 48 threads
02/01/22 20:11:56, nfs: commencing lattice sieving with 48 threads
02/01/22 20:15:06, nfs: commencing lattice sieving with 48 threads
02/01/22 20:18:10, nfs: commencing lattice sieving with 48 threads
02/01/22 20:21:13, nfs: commencing lattice sieving with 48 threads
02/01/22 20:24:26, nfs: commencing lattice sieving with 48 threads
02/01/22 20:27:31, nfs: commencing lattice sieving with 48 threads
02/01/22 20:30:40, nfs: commencing lattice sieving with 48 threads
02/01/22 20:33:48, nfs: commencing lattice sieving with 48 threads
02/01/22 20:36:50, nfs: commencing lattice sieving with 48 threads
02/01/22 20:40:00, nfs: commencing lattice sieving with 48 threads
02/01/22 20:43:03, nfs: commencing lattice sieving with 48 threads
02/01/22 20:46:14, nfs: commencing lattice sieving with 48 threads
02/01/22 20:49:16, nfs: commencing lattice sieving with 48 threads
02/01/22 20:52:19, nfs: commencing lattice sieving with 48 threads
02/01/22 20:55:21, nfs: commencing lattice sieving with 48 threads
02/01/22 20:58:28, nfs: commencing lattice sieving with 48 threads
02/01/22 21:01:27, nfs: commencing lattice sieving with 48 threads
02/01/22 21:04:39, nfs: commencing lattice sieving with 48 threads
02/01/22 21:07:43, nfs: commencing lattice sieving with 48 threads
02/01/22 21:10:45, nfs: commencing lattice sieving with 48 threads
02/01/22 21:13:44, nfs: commencing lattice sieving with 48 threads
02/01/22 21:16:50, nfs: commencing lattice sieving with 48 threads
02/01/22 21:19:52, nfs: commencing lattice sieving with 48 threads
02/01/22 21:22:59, nfs: commencing lattice sieving with 48 threads
02/01/22 21:26:14, nfs: commencing lattice sieving with 48 threads
02/01/22 21:29:32, nfs: commencing lattice sieving with 48 threads
02/01/22 21:32:39, nfs: commencing lattice sieving with 48 threads
02/01/22 21:35:42, nfs: commencing lattice sieving with 48 threads
02/01/22 21:38:50, nfs: commencing lattice sieving with 48 threads
02/01/22 21:41:56, nfs: commencing lattice sieving with 48 threads
02/01/22 21:45:02, nfs: commencing lattice sieving with 48 threads
02/01/22 21:48:07, nfs: commencing lattice sieving with 48 threads
02/01/22 21:51:13, nfs: commencing lattice sieving with 48 threads
02/01/22 21:54:18, nfs: commencing lattice sieving with 48 threads
02/01/22 21:57:24, nfs: commencing lattice sieving with 48 threads
02/01/22 22:00:26, nfs: commencing lattice sieving with 48 threads
02/01/22 22:03:36, nfs: commencing lattice sieving with 48 threads
02/01/22 22:06:49, nfs: commencing lattice sieving with 48 threads
02/01/22 22:09:54, nfs: commencing lattice sieving with 48 threads
02/01/22 22:12:57, nfs: commencing lattice sieving with 48 threads
02/01/22 22:16:01, nfs: commencing lattice sieving with 48 threads
02/01/22 22:19:07, nfs: commencing lattice sieving with 48 threads
02/01/22 22:22:10, nfs: commencing lattice sieving with 48 threads
02/01/22 22:25:17, nfs: commencing lattice sieving with 48 threads
02/01/22 22:28:22, nfs: commencing lattice sieving with 48 threads
02/01/22 22:31:34, nfs: commencing lattice sieving with 48 threads
02/01/22 22:34:47, nfs: commencing lattice sieving with 48 threads
02/01/22 22:37:57, nfs: commencing lattice sieving with 48 threads
02/01/22 22:41:01, nfs: commencing msieve filtering
02/01/22 22:52:32, nfs: commencing msieve linear algebra
02/01/22 23:37:56, nfs: commencing msieve sqrt
02/01/22 23:41:22, prp144 = 938254866154624273902427252843700063245630281005446938171924866291347324697379650993795834483427456187168326390052760858143526937082579998225871
02/01/22 23:41:22, prp43 = 8408752791662963228152150833433012964438993
02/01/22 23:41:23, NFS elapsed time = 29804.0789 seconds.
02/01/22 23:41:23, 
02/01/22 23:41:23, 
02/01/22 23:41:23, Total factoring time = 31550.5307 seconds
02/02/22 01:01:25, 
02/02/22 01:01:25, ****************************
02/02/22 01:01:25, Starting factorization of 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444474
02/02/22 01:01:25, using pretesting plan: normal
02/02/22 01:01:25, using specified qs/gnfs crossover of 100 digits
02/02/22 01:01:25, using specified qs/snfs crossover of 75 digits
02/02/22 01:01:25, ****************************
02/02/22 01:01:25, div: found prime factor = 2
02/02/22 01:01:25, div: found prime factor = 3
02/02/22 01:01:25, div: found prime factor = 3
02/02/22 01:01:25, rho: x^2 + 3, starting 1000 iterations on C203
02/02/22 01:01:25, prp6 = 163993
02/02/22 01:01:25, rho: x^2 + 3, starting 1000 iterations on C198
02/02/22 01:01:25, rho: x^2 + 2, starting 1000 iterations on C198
02/02/22 01:01:25, rho: x^2 + 1, starting 1000 iterations on C198
02/02/22 01:01:26, nfs: input divides 10^206 + 6650
02/02/22 01:01:26, nfs: using supplied cofactor: 150563487616491911390677394917413292181320897993764112033387754505932314334705493677726232367792271771913179371627801337199502568349612634023147480022671849965291352017208202126664093536663300819901
02/02/22 01:01:26, nfs: input divides 10^206 + 6650
02/02/22 01:01:26, nfs: using supplied cofactor: 150563487616491911390677394917413292181320897993764112033387754505932314334705493677726232367792271771913179371627801337199502568349612634023147480022671849965291352017208202126664093536663300819901
02/02/22 01:01:26, nfs: commencing snfs on c198: 150563487616491911390677394917413292181320897993764112033387754505932314334705493677726232367792271771913179371627801337199502568349612634023147480022671849965291352017208202126664093536663300819901
02/02/22 01:01:26, pm1: starting B1 = 150K, B2 = gmp-ecm default on C198
02/02/22 01:01:26, prp16 = 4099117517229103
02/02/22 01:01:26, nfs: input divides 10^206 + 6650
02/02/22 01:01:26, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:26, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:26, current ECM pretesting depth: 0.00
02/02/22 01:01:26, scheduled 30 curves at B1=2000 toward target pretesting depth of 43.56
02/02/22 01:01:26, ecm: commencing 48 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=2k, B2=200k
02/02/22 01:01:26, ecm: finished 384 curves using AVX-ECM method on C182 input, B1=2k, B2=200k
02/02/22 01:01:26, nfs: input divides 10^206 + 6650
02/02/22 01:01:26, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:26, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:26, current ECM pretesting depth: 17.27
02/02/22 01:01:26, scheduled 74 curves at B1=11000 toward target pretesting depth of 43.56
02/02/22 01:01:26, ecm: commencing 96 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=11k, B2=1100k
02/02/22 01:01:27, ecm: finished 384 curves using AVX-ECM method on C182 input, B1=11k, B2=1100k
02/02/22 01:01:27, nfs: input divides 10^206 + 6650
02/02/22 01:01:27, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:27, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:27, current ECM pretesting depth: 21.28
02/02/22 01:01:27, scheduled 214 curves at B1=50000 toward target pretesting depth of 43.56
02/02/22 01:01:27, ecm: commencing 240 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=50k, B2=5M
02/02/22 01:01:28, ecm: finished 384 curves using AVX-ECM method on C182 input, B1=50k, B2=5M
02/02/22 01:01:28, nfs: input divides 10^206 + 6650
02/02/22 01:01:28, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:28, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:28, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C182
02/02/22 01:01:30, nfs: input divides 10^206 + 6650
02/02/22 01:01:30, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:30, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:30, current ECM pretesting depth: 25.62
02/02/22 01:01:30, scheduled 430 curves at B1=250000 toward target pretesting depth of 43.56
02/02/22 01:01:31, ecm: commencing 432 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=250k, B2=25M
02/02/22 01:01:38, ecm: finished 768 curves using AVX-ECM method on C182 input, B1=250k, B2=25M
02/02/22 01:01:38, nfs: input divides 10^206 + 6650
02/02/22 01:01:38, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:38, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:38, pm1: starting B1 = 15M, B2 = gmp-ecm default on C182
02/02/22 01:01:43, nfs: input divides 10^206 + 6650
02/02/22 01:01:43, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:43, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:01:43, current ECM pretesting depth: 30.81
02/02/22 01:01:43, scheduled 904 curves at B1=1000000 toward target pretesting depth of 43.56
02/02/22 01:01:46, ecm: commencing 912 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=1M, B2=100M
02/02/22 01:02:26, ecm: finished 1152 curves using AVX-ECM method on C182 input, B1=1M, B2=100M
02/02/22 01:02:26, nfs: input divides 10^206 + 6650
02/02/22 01:02:26, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:02:26, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:02:26, current ECM pretesting depth: 35.72
02/02/22 01:02:26, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 43.56
02/02/22 01:02:28, ecm: commencing 2352 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=3M, B2=300M
02/02/22 01:07:02, ecm: finished 2688 curves using AVX-ECM method on C182 input, B1=3M, B2=300M
02/02/22 01:07:03, nfs: input divides 10^206 + 6650
02/02/22 01:07:03, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:07:03, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:07:03, current ECM pretesting depth: 40.73
02/02/22 01:07:03, scheduled 2537 curves at B1=11000000 toward target pretesting depth of 43.56
02/02/22 01:07:04, ecm: commencing 2544 curves using AVX-ECM method on 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067, B1=11M, B2=1100M
02/02/22 01:23:21, ecm: finished 2688 curves using AVX-ECM method on C182 input, B1=11M, B2=1100M
02/02/22 01:23:22, nfs: input divides 10^206 + 6650
02/02/22 01:23:22, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:23:22, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:23:22, final ECM pretested depth: 43.73
02/02/22 01:23:22, scheduler: switching to sieve method
02/02/22 01:23:22, nfs: commencing nfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:23:22, nfs: input divides 10^206 + 6650
02/02/22 01:23:22, nfs: using supplied cofactor: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:23:22, nfs: commencing snfs on c182: 36730707764208945964154906849963216255181535762750677110078638940368288035483101223792737491335914835748205575296118107189761747354684744555213770659710195731341304466575681062490067
02/02/22 01:23:26, test: fb generation took 3.3918 seconds
02/02/22 01:23:26, test: commencing test sieving of polynomial 0 on the algebraic side over range 19000000-19001000
skew: 2.3952
c6: 2
c0: 133
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/02/22 01:25:22, nfs: parsing special-q from .dat file
02/02/22 01:25:22, test: new best estimated total sieving time = 5h 36m 25s (with 48 threads)
02/02/22 01:25:25, test: fb generation took 2.2731 seconds
02/02/22 01:25:25, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20201000
skew: 5.1001
c5: 1
c0: 665
Y1: -1
Y0: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/02/22 01:26:51, nfs: parsing special-q from .dat file
02/02/22 01:26:51, test: estimated total sieving time = 6h 28m 44s (with 48 threads)
02/02/22 01:26:53, test: fb generation took 2.4240 seconds
02/02/22 01:26:53, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21401000
skew: 10.2002
c5: 1
c0: 21280
Y1: -1
Y0: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/02/22 01:28:16, nfs: parsing special-q from .dat file
02/02/22 01:28:16, test: estimated total sieving time = 7h 15m 10s (with 48 threads)
02/02/22 01:28:19, test: fb generation took 3.3894 seconds
02/02/22 01:28:19, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000
skew: 2.3952
c6: 2
c0: 133
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/02/22 01:29:43, nfs: parsing special-q from .dat file
02/02/22 01:29:43, test: new best estimated total sieving time = 6h 11m 19s (with 48 threads)
02/02/22 01:29:43, nfs: commencing lattice sieving with 48 threads
02/02/22 01:33:23, nfs: commencing lattice sieving with 48 threads
02/02/22 01:36:50, nfs: commencing lattice sieving with 48 threads
02/02/22 01:40:27, nfs: commencing lattice sieving with 48 threads
02/02/22 01:44:04, nfs: commencing lattice sieving with 48 threads
02/02/22 01:47:34, nfs: commencing lattice sieving with 48 threads
02/02/22 01:50:49, nfs: commencing lattice sieving with 48 threads
02/02/22 01:54:12, nfs: commencing lattice sieving with 48 threads
02/02/22 01:57:39, nfs: commencing lattice sieving with 48 threads
02/02/22 02:01:12, nfs: commencing lattice sieving with 48 threads
02/02/22 02:05:03, nfs: commencing lattice sieving with 48 threads
02/02/22 02:08:25, nfs: commencing lattice sieving with 48 threads
02/02/22 02:11:59, nfs: commencing lattice sieving with 48 threads
02/02/22 02:15:19, nfs: commencing lattice sieving with 48 threads
02/02/22 02:18:39, nfs: commencing lattice sieving with 48 threads
02/02/22 02:22:14, nfs: commencing lattice sieving with 48 threads
02/02/22 02:25:25, nfs: commencing lattice sieving with 48 threads
02/02/22 02:29:12, nfs: commencing lattice sieving with 48 threads
02/02/22 02:32:48, nfs: commencing lattice sieving with 48 threads
02/02/22 02:36:24, nfs: commencing lattice sieving with 48 threads
02/02/22 02:39:54, nfs: commencing lattice sieving with 48 threads
02/02/22 02:43:51, nfs: commencing lattice sieving with 48 threads
02/02/22 02:47:24, nfs: commencing lattice sieving with 48 threads
02/02/22 02:50:53, nfs: commencing lattice sieving with 48 threads
02/02/22 02:54:20, nfs: commencing lattice sieving with 48 threads
02/02/22 02:58:24, nfs: commencing lattice sieving with 48 threads
02/02/22 03:01:53, nfs: commencing lattice sieving with 48 threads
02/02/22 03:05:20, nfs: commencing lattice sieving with 48 threads
02/02/22 03:09:14, nfs: commencing lattice sieving with 48 threads
02/02/22 03:12:43, nfs: commencing lattice sieving with 48 threads
02/02/22 03:16:12, nfs: commencing lattice sieving with 48 threads
02/02/22 03:20:15, nfs: commencing lattice sieving with 48 threads
02/02/22 03:24:16, nfs: commencing lattice sieving with 48 threads
02/02/22 03:27:51, nfs: commencing lattice sieving with 48 threads
02/02/22 03:31:29, nfs: commencing lattice sieving with 48 threads
02/02/22 03:35:57, nfs: commencing lattice sieving with 48 threads
02/02/22 03:40:09, nfs: commencing lattice sieving with 48 threads
02/02/22 03:43:34, nfs: commencing lattice sieving with 48 threads
02/02/22 03:47:09, nfs: commencing lattice sieving with 48 threads
02/02/22 03:50:59, nfs: commencing lattice sieving with 48 threads
02/02/22 03:54:29, nfs: commencing lattice sieving with 48 threads
02/02/22 03:58:04, nfs: commencing lattice sieving with 48 threads
02/02/22 04:01:25, nfs: commencing lattice sieving with 48 threads
02/02/22 04:04:48, nfs: commencing lattice sieving with 48 threads
02/02/22 04:08:36, nfs: commencing lattice sieving with 48 threads
02/02/22 04:12:13, nfs: commencing lattice sieving with 48 threads
02/02/22 04:15:46, nfs: commencing lattice sieving with 48 threads
02/02/22 04:19:28, nfs: commencing lattice sieving with 48 threads
02/02/22 04:22:59, nfs: commencing lattice sieving with 48 threads
02/02/22 04:26:44, nfs: commencing lattice sieving with 48 threads
02/02/22 04:30:18, nfs: commencing lattice sieving with 48 threads
02/02/22 04:33:47, nfs: commencing lattice sieving with 48 threads
02/02/22 04:37:37, nfs: commencing lattice sieving with 48 threads
02/02/22 04:40:59, nfs: commencing lattice sieving with 48 threads
02/02/22 04:44:31, nfs: commencing lattice sieving with 48 threads
02/02/22 04:48:22, nfs: commencing lattice sieving with 48 threads
02/02/22 04:52:00, nfs: commencing lattice sieving with 48 threads
02/02/22 04:55:45, nfs: commencing lattice sieving with 48 threads
02/02/22 04:59:43, nfs: commencing lattice sieving with 48 threads
02/02/22 05:03:19, nfs: commencing lattice sieving with 48 threads
02/02/22 05:07:07, nfs: commencing lattice sieving with 48 threads
02/02/22 05:10:42, nfs: commencing lattice sieving with 48 threads
02/02/22 05:14:18, nfs: commencing lattice sieving with 48 threads
02/02/22 05:18:02, nfs: commencing lattice sieving with 48 threads
02/02/22 05:21:56, nfs: commencing lattice sieving with 48 threads
02/02/22 05:25:21, nfs: commencing lattice sieving with 48 threads
02/02/22 05:28:46, nfs: commencing lattice sieving with 48 threads
02/02/22 05:32:17, nfs: commencing lattice sieving with 48 threads
02/02/22 05:35:42, nfs: commencing lattice sieving with 48 threads
02/02/22 05:39:16, nfs: commencing lattice sieving with 48 threads
02/02/22 05:43:08, nfs: commencing lattice sieving with 48 threads
02/02/22 05:46:47, nfs: commencing lattice sieving with 48 threads
02/02/22 05:50:08, nfs: commencing lattice sieving with 48 threads
02/02/22 05:53:37, nfs: commencing lattice sieving with 48 threads
02/02/22 05:57:30, nfs: commencing lattice sieving with 48 threads
02/02/22 06:00:54, nfs: commencing lattice sieving with 48 threads
02/02/22 06:04:53, nfs: commencing lattice sieving with 48 threads
02/02/22 06:08:29, nfs: commencing lattice sieving with 48 threads
02/02/22 06:12:50, nfs: commencing lattice sieving with 48 threads
02/02/22 06:17:05, nfs: commencing lattice sieving with 48 threads
02/02/22 06:20:37, nfs: commencing lattice sieving with 48 threads
02/02/22 06:24:23, nfs: commencing lattice sieving with 48 threads
02/02/22 06:28:01, nfs: commencing lattice sieving with 48 threads
02/02/22 06:31:31, nfs: commencing lattice sieving with 48 threads
02/02/22 06:35:09, nfs: commencing lattice sieving with 48 threads
02/02/22 06:39:00, nfs: commencing lattice sieving with 48 threads
02/02/22 06:43:10, nfs: commencing lattice sieving with 48 threads
02/02/22 06:46:46, nfs: commencing lattice sieving with 48 threads
02/02/22 06:51:03, nfs: commencing lattice sieving with 48 threads
02/02/22 06:54:40, nfs: commencing lattice sieving with 48 threads
02/02/22 06:58:07, nfs: commencing lattice sieving with 48 threads
02/02/22 07:02:04, nfs: commencing lattice sieving with 48 threads
02/02/22 07:05:45, nfs: commencing lattice sieving with 48 threads
02/02/22 07:09:20, nfs: commencing lattice sieving with 48 threads
02/02/22 07:13:14, nfs: commencing lattice sieving with 48 threads
02/02/22 07:16:52, nfs: commencing lattice sieving with 48 threads
02/02/22 07:20:33, nfs: commencing lattice sieving with 48 threads
02/02/22 07:24:00, nfs: commencing lattice sieving with 48 threads
02/02/22 07:28:05, nfs: commencing lattice sieving with 48 threads
02/02/22 07:31:48, nfs: commencing lattice sieving with 48 threads
02/02/22 07:35:34, nfs: commencing lattice sieving with 48 threads
02/02/22 07:39:13, nfs: commencing lattice sieving with 48 threads
02/02/22 07:42:47, nfs: commencing lattice sieving with 48 threads
02/02/22 07:46:21, nfs: commencing lattice sieving with 48 threads
02/02/22 07:50:12, nfs: commencing lattice sieving with 48 threads
02/02/22 07:53:54, nfs: commencing lattice sieving with 48 threads
02/02/22 07:57:37, nfs: commencing lattice sieving with 48 threads
02/02/22 08:01:48, nfs: commencing lattice sieving with 48 threads
02/02/22 08:05:50, nfs: commencing msieve filtering
02/02/22 08:10:02, nfs: raising min_rels by 5.00 percent to 22076388
02/02/22 08:10:02, nfs: commencing lattice sieving with 48 threads
02/02/22 08:13:39, nfs: commencing lattice sieving with 48 threads
02/02/22 08:17:44, nfs: commencing lattice sieving with 48 threads
02/02/22 08:21:41, nfs: commencing lattice sieving with 48 threads
02/02/22 08:25:04, nfs: commencing lattice sieving with 48 threads
02/02/22 08:28:59, nfs: commencing lattice sieving with 48 threads
02/02/22 08:32:34, nfs: commencing msieve filtering
02/02/22 08:37:08, nfs: raising min_rels by 5.00 percent to 23203146
02/02/22 08:37:08, nfs: commencing lattice sieving with 48 threads
02/02/22 08:40:50, nfs: commencing lattice sieving with 48 threads
02/02/22 08:45:05, nfs: commencing lattice sieving with 48 threads
02/02/22 08:48:51, nfs: commencing lattice sieving with 48 threads
02/02/22 08:52:27, nfs: commencing lattice sieving with 48 threads
02/02/22 08:56:17, nfs: commencing lattice sieving with 48 threads
02/02/22 09:00:01, nfs: commencing lattice sieving with 48 threads
02/02/22 09:03:47, nfs: commencing msieve filtering
02/02/22 09:08:34, nfs: raising min_rels by 5.00 percent to 24487073
02/02/22 09:08:34, nfs: commencing lattice sieving with 48 threads
02/02/22 09:12:17, nfs: commencing lattice sieving with 48 threads
02/02/22 09:16:19, nfs: commencing lattice sieving with 48 threads
02/02/22 09:20:03, nfs: commencing lattice sieving with 48 threads
02/02/22 09:23:19, nfs: commencing lattice sieving with 48 threads
02/02/22 09:26:55, nfs: commencing lattice sieving with 48 threads
02/02/22 09:30:49, nfs: commencing lattice sieving with 48 threads
02/02/22 09:34:18, nfs: commencing msieve filtering
02/02/22 09:41:49, nfs: commencing msieve linear algebra
02/02/22 10:25:15, nfs: commencing msieve sqrt
02/02/22 10:41:36, prp70 = 4038106370214897606951637960393382765540534376512965097291972232814847
02/02/22 10:41:36, prp58 = 6154045384765873509701190520424485563780093724110875076487
02/02/22 10:41:36, prp55 = 1478055859018485528591191517276448205266449517770783403
02/02/22 10:41:36, NFS elapsed time = 33493.6492 seconds.
02/02/22 10:41:36, 
02/02/22 10:41:36, 
02/02/22 10:41:36, Total factoring time = 34811.2234 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)
403e62100ebinaDecember 30, 2021 05:48:55 UTC 2021 年 12 月 30 日 (木) 14 時 48 分 55 秒 (日本時間)
4511e64480Ignacio SantosFebruary 1, 2022 21:51:16 UTC 2022 年 2 月 2 日 (水) 6 時 51 分 16 秒 (日本時間)

2×10206+1339

c188

name 名前Bob Backstrom
date 日付January 22, 2024 01:58:20 UTC 2024 年 1 月 22 日 (月) 10 時 58 分 20 秒 (日本時間)
composite number 合成数
42977744750642976797288003287372483875035715491201446618297209040003144970416952370210119379325878555920186641025369959927946134906254979311280084215887550996336707293343243386347087173129<188>
prime factors 素因数
24352375926978923689876661320914378357255702137073179416032517<62>
1764827583128339773462476183510840574434637803082337909673636548919496608795256538539708153003955179369409607291043181786410037<127>
factorization results 素因数分解の結果
Number: n
N=42977744750642976797288003287372483875035715491201446618297209040003144970416952370210119379325878555920186641025369959927946134906254979311280084215887550996336707293343243386347087173129  ( 188 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Jan 22 12:53:31 2024  prp62 factor: 24352375926978923689876661320914378357255702137073179416032517
Mon Jan 22 12:53:31 2024  prp127 factor: 1764827583128339773462476183510840574434637803082337909673636548919496608795256538539708153003955179369409607291043181786410037
Mon Jan 22 12:53:31 2024  elapsed time 04:34:48 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 2x2x10^206+133 = 4(204)74
#
n: 42977744750642976797288003287372483875035715491201446618297209040003144970416952370210119379325878555920186641025369959927946134906254979311280084215887550996336707293343243386347087173129
m: 100000000000000000000000000000000000000000
deg: 5
c5: 20
c0: 133
skew: 1.46
# Murphy_E = 6.607e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 92800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3245436 hash collisions in 18921654 relations (16092642 unique)
Msieve: matrix is 2859366 x 2859591 (803.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 4hrs 22min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 36sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 07:17:51 UTC 2021 年 12 月 30 日 (木) 16 時 17 分 51 秒 (日本時間)
4511e64480Ignacio SantosJanuary 15, 2024 17:51:20 UTC 2024 年 1 月 16 日 (火) 2 時 51 分 20 秒 (日本時間)

2×10210+1339

c171

composite cofactor 合成数の残り
320597523108010674207262325802511090398569659524207841361427486479999038879763409594878832658622032447387819406205878872882027769021516468499062756601008052220391031572807<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 09:03:16 UTC 2021 年 12 月 30 日 (木) 18 時 3 分 16 秒 (日本時間)

2×10211+1339

c151

name 名前Bob Backstrom
date 日付June 16, 2022 01:42:17 UTC 2022 年 6 月 16 日 (木) 10 時 42 分 17 秒 (日本時間)
composite number 合成数
1066901453631092330426514149439302463621964287458960955053274226545204175035618352101132044450244404248882216580166967127941618978416853814081992169503<151>
prime factors 素因数
16814676724097630081502222727844583740362759989693191<53>
63450607533957703844916829063103246587002199933156856438875466967231693558106551657436340468616233<98>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 1066901453631092330426514149439302463621964287458960955053274226545204175035618352101132044450244404248882216580166967127941618978416853814081992169503 (151 digits)
Using B1=28440000, B2=144287903776, polynomial Dickson(12), sigma=1:3068909446
Step 1 took 46619ms
Step 2 took 17669ms
********** Factor found in step 2: 16814676724097630081502222727844583740362759989693191
Found prime factor of 53 digits: 16814676724097630081502222727844583740362759989693191
Prime cofactor 63450607533957703844916829063103246587002199933156856438875466967231693558106551657436340468616233 has 98 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)
403e62100ebinaDecember 30, 2021 10:22:30 UTC 2021 年 12 月 30 日 (木) 19 時 22 分 30 秒 (日本時間)

2×10214+1339

c151

composite cofactor 合成数の残り
2974851914936910423068941104654145197891968806789545626150039454306657224967498949840541890894876961058250347502845157107392118855948677351252078154617<151>

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 30, 2021 12:32:06 UTC 2021 年 12 月 30 日 (木) 21 時 32 分 6 秒 (日本時間)

2×10215+1339

c190

composite cofactor 合成数の残り
2556224961109579276757830357869569393381267947409616051502584929029506762054037596344075833496189773652681056113865864178780914491472527583396467116835756287456667491844071024096187731533637<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)
403e62100ebinaDecember 30, 2021 14:03:55 UTC 2021 年 12 月 30 日 (木) 23 時 3 分 55 秒 (日本時間)

2×10218+1339

c162

composite cofactor 合成数の残り
224109763695476854737147070094043807663600263583854427099115099123178102364977225391936355135440003896947536636767902402607455981863413519593394343623430298982623<162>

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 30, 2021 15:45:38 UTC 2021 年 12 月 31 日 (金) 0 時 45 分 38 秒 (日本時間)

2×10219+1339

c187

composite cofactor 合成数の残り
4029554045257165954656381085168710367272495202072741636588685012194518316831878400539505352722794937494143382438870484111652348167363982446420709353449831863599283625507179422475331543647<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 30, 2021 23:16:32 UTC 2021 年 12 月 31 日 (金) 8 時 16 分 32 秒 (日本時間)

2×10221+1339

c189

composite cofactor 合成数の残り
687978290694154176812688121475890861643971537629474762180204160882647218135432646876949212281148206031404679947000971568859614086150763059580404760206657066967235280358730935364835813369939<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)
403e62100ebinaDecember 31, 2021 00:30:47 UTC 2021 年 12 月 31 日 (金) 9 時 30 分 47 秒 (日本時間)

2×10222+1339

c203

composite cofactor 合成数の残り
71302727926004589677741827502269478984013882214807368564844187115535342018609837270570132497762923732010446325029089145557416628406541318396650377056261807477316669439044931334553872791432572243176399157<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)
403e62100ebinaDecember 31, 2021 03:34:38 UTC 2021 年 12 月 31 日 (金) 12 時 34 分 38 秒 (日本時間)

2×10223+1339

c200

composite cofactor 合成数の残り
15529425505872890186346721320843636249100642704661723636205107479174661844301896153467524398294997792524610502075286209218531971852871858337115407970842830432349710108421109027475449848920280917578933<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaDecember 31, 2021 05:05:58 UTC 2021 年 12 月 31 日 (金) 14 時 5 分 58 秒 (日本時間)

2×10224+1339

c184

name 名前ebina
date 日付December 31, 2021 06:17:42 UTC 2021 年 12 月 31 日 (金) 15 時 17 分 42 秒 (日本時間)
composite number 合成数
7737050551719387260166671619742659159919525267584327670673969024528264757039025901582824773081884780214501103987506833102629901065959637192829641966840687672088393528708649334791429067<184>
prime factors 素因数
219426447857478219572842565323753093612631<42>
35260337244053430161942812402074821937642910791348819355503657221429546679896775258206255261023547283555908722480635105933098525952979222666157<143>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1600796984 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 7737050551719387260166671619742659159919525267584327670673969024528264757039025901582824773081884780214501103987506833102629901065959637192829641966840687672088393528708649334791429067 (184 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1600796984
Step 1 took 5782ms
Step 2 took 4984ms
********** Factor found in step 2: 219426447857478219572842565323753093612631
Found probable prime factor of 42 digits: 219426447857478219572842565323753093612631
Probable prime cofactor 35260337244053430161942812402074821937642910791348819355503657221429546679896775258206255261023547283555908722480635105933098525952979222666157 has 143 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)

2×10226+1339

c200

composite cofactor 合成数の残り
11143747732949209103660615378295862216846915882286210624150655805079769180141330926579602068714484617122910130333902048139670366529108675794555563919806309255683428092795145482794618757518626058520231<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62100ebinaJanuary 12, 2022 13:11:23 UTC 2022 年 1 月 12 日 (水) 22 時 11 分 23 秒 (日本時間)

2×10227+1339

c224

composite cofactor 合成数の残り
26113069591330460895678286982634808721765243504373939156547852200026113069591330460895678286982634808721765243504373939156547852200026113069591330460895678286982634808721765243504373939156547852200026113069591330460895678287<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)
403e62200ebinaJanuary 12, 2022 22:31:13 UTC 2022 年 1 月 13 日 (木) 7 時 31 分 13 秒 (日本時間)

2×10228+1339

c145

name 名前Eric Jeancolas
date 日付January 15, 2022 04:13:56 UTC 2022 年 1 月 15 日 (土) 13 時 13 分 56 秒 (日本時間)
composite number 合成数
5487683797057679006929549732085210239545602707177446908552890718217759542209312819368045910420078453470746871981599397402985055168514525762204659<145>
prime factors 素因数
869065076831513620200451653251820571723468404425092309<54>
6314468206529464415939297907676420547818136877759846321672596935966399334045116805273674151<91>
factorization results 素因数分解の結果
5487683797057679006929549732085210239545602707177446908552890718217759542209312819368045910420078453470746871981599397402985055168514525762204659=869065076831513620200451653251820571723468404425092309*6314468206529464415939297907676420547818136877759846321672596935966399334045116805273674151

cado polynomial
n: 5487683797057679006929549732085210239545602707177446908552890718217759542209312819368045910420078453470746871981599397402985055168514525762204659
skew: 151972.677
c0: -37046254145721000297314900460282
c1: -1448182981795544701362015969
c2: -10469525931276211378744
c3: 66502883984859026
c4: -497653580142
c5: 745200
Y0: -7399833257098265821447689145
Y1: 47705599041864917009
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.781e-07
# f(x) = 745200*x^5-497653580142*x^4+66502883984859026*x^3-10469525931276211378744*x^2-1448182981795544701362015969*x-37046254145721000297314900460282
# g(x) = 47705599041864917009*x-7399833257098265821447689145

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: 869065076831513620200451653251820571723468404425092309 6314468206529464415939297907676420547818136877759846321672596935966399334045116805273674151
Info:Square Root: Total cpu/real time for sqrt: 3303.49/962.017
Info:Filtering - Singleton removal: Total cpu/real time for purge: 824.24/933.571
Info:Generate Factor Base: Total cpu/real time for makefb: 17.82/4.75431
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49611377
Info:Lattice Sieving: Average J: 3799.14 for 1243916 special-q, max bucket fill -bkmult 1.0,1s:1.137880
Info:Lattice Sieving: Total time: 1.45226e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 236614/60587.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 152479.86, WCT time 38922.48, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111616 iterations)
Info:Linear Algebra: Lingen CPU time 777.41, WCT time 197.74
Info:Linear Algebra: Mksol: CPU time 81941.32,  WCT time 20935.37, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 507.81/128.419
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 221.32/268.326
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 267.6000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5960.46
Info:Polynomial Selection (root optimized): Rootsieve time: 5958
Info:Filtering - Merging: Merged matrix has 3566972 rows and total weight 609805623 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 934.05/263.277
Info:Filtering - Merging: Total cpu/real time for replay: 153.37/133.378
Info:Quadratic Characters: Total cpu/real time for characters: 142.15/60.1135
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): 77982/44.020/52.160/58.050/0.903
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63822/42.020/46.726/52.900/1.176
Info:Polynomial Selection (size optimized): Total time: 41904.1
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1033.1/1022.62
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 852.1000000000001s
Info:Square Root: Total cpu/real time for sqrt: 3303.49/962.017
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.08978e+06/499985
Info:root: Cleaning up computation data in /tmp/cado.2iygjnn8
869065076831513620200451653251820571723468404425092309 6314468206529464415939297907676420547818136877759846321672596935966399334045116805273674151
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 21:52:07 UTC 2021 年 12 月 31 日 (金) 6 時 52 分 7 秒 (日本時間)
4511e64480Ignacio SantosJanuary 9, 2022 13:33:16 UTC 2022 年 1 月 9 日 (日) 22 時 33 分 16 秒 (日本時間)

2×10229+1339

c229

name 名前ebina
date 日付January 12, 2022 23:02:37 UTC 2022 年 1 月 13 日 (木) 8 時 2 分 37 秒 (日本時間)
composite number 合成数
2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222237<229>
prime factors 素因数
438500804527674287311519552554931837<36>
composite cofactor 合成数の残り
5067772280636660122931493034340697509913261596400887144420880395273726767782691291337423146772681514440722253245399975535238136051122089542257745765902518965869938347742221244759278183863479201<193>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3688779437 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222237 (229 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3688779437
Step 1 took 7750ms
Step 2 took 5954ms
********** Factor found in step 2: 438500804527674287311519552554931837
Found probable prime factor of 36 digits: 438500804527674287311519552554931837
Composite cofactor 5067772280636660122931493034340697509913261596400887144420880395273726767782691291337423146772681514440722253245399975535238136051122089542257745765902518965869938347742221244759278183863479201 has 193 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)
403e62947597ebinaJanuary 12, 2022 23:01:09 UTC 2022 年 1 月 13 日 (木) 8 時 1 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 12:39:22 UTC 2023 年 9 月 3 日 (日) 21 時 39 分 22 秒 (日本時間)

2×10230+1339

c219

composite cofactor 合成数の残り
325730492377912527986416533898279134501344078457774090300983443966279526204072150551212102231652920166090365487345232309434577678557949295437921504265926320974462068114183904324856689478916539594218320672722909878044603<219>

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)
403e62952602Marlon TrifunovicFebruary 18, 2022 03:38:26 UTC 2022 年 2 月 18 日 (金) 12 時 38 分 26 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 12:47:14 UTC 2023 年 9 月 3 日 (日) 21 時 47 分 14 秒 (日本時間)

2×10231+1339

c152

composite cofactor 合成数の残り
26441419412304024743036923484532043057396986126655564690506386743916725362029864944030253403435434667374983038797908178053341428355995584523263784456399<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 12:21:33 UTC 2021 年 12 月 31 日 (金) 21 時 21 分 33 秒 (日本時間)
4511e64480Ignacio SantosJanuary 5, 2022 12:23:57 UTC 2022 年 1 月 5 日 (水) 21 時 23 分 57 秒 (日本時間)
5043e66454Ignacio SantosJanuary 30, 2024 13:27:48 UTC 2024 年 1 月 30 日 (火) 22 時 27 分 48 秒 (日本時間)

2×10232+1339

c182

composite cofactor 合成数の残り
43235341147059543983868849716666071679373374796082121868675297797769093382122009455730958293572581582744097401989121664970741685493164153523039777688206898077618232655498950525636449<182>

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)
403e62952602Marlon TrifunovicFebruary 17, 2022 09:24:32 UTC 2022 年 2 月 17 日 (木) 18 時 24 分 32 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 11:12:51 UTC 2023 年 9 月 4 日 (月) 20 時 12 分 51 秒 (日本時間)

2×10235+1339

c196

composite cofactor 合成数の残り
4036917713125133197308907653994359447582186997189000819918419779797607839193754472093391279386679326936731685764930159036496346456520646587751699902656642732096892885975763756312175396551844568367<196>

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)
403e62952602Marlon TrifunovicFebruary 16, 2022 22:06:38 UTC 2022 年 2 月 17 日 (木) 7 時 6 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 11:13:01 UTC 2023 年 9 月 4 日 (月) 20 時 13 分 1 秒 (日本時間)

2×10236+1339

c133

name 名前Eric Jeancolas
date 日付January 6, 2022 03:28:26 UTC 2022 年 1 月 6 日 (木) 12 時 28 分 26 秒 (日本時間)
composite number 合成数
6668184252727046843862934180371609239138796548309137841314097015195684184014795973048051936166418041567089424059250965421541164945601<133>
prime factors 素因数
172153097216228047729247498973038529167374445747135123198641<60>
38734035928216045247389581941018232971229864793215936173103667649466188561<74>
factorization results 素因数分解の結果
6668184252727046843862934180371609239138796548309137841314097015195684184014795973048051936166418041567089424059250965421541164945601=172153097216228047729247498973038529167374445747135123198641*38734035928216045247389581941018232971229864793215936173103667649466188561

cado polynomial
n: 6668184252727046843862934180371609239138796548309137841314097015195684184014795973048051936166418041567089424059250965421541164945601
skew: 37585.492
c0: -86832443766080364245146254456
c1: 9114611339946667239292737
c2: 177213043352394003610
c3: -14048741507428243
c4: -182837661444
c5: 1468080
Y0: -35285251568228312245694033
Y1: 992258014276576733
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.441e-07
# f(x) = 1468080*x^5-182837661444*x^4-14048741507428243*x^3+177213043352394003610*x^2+9114611339946667239292737*x-86832443766080364245146254456
# g(x) = 992258014276576733*x-35285251568228312245694033

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: 38734035928216045247389581941018232971229864793215936173103667649466188561 172153097216228047729247498973038529167374445747135123198641
Info:Square Root: Total cpu/real time for sqrt: 845.73/225.839
Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.85/99.7778
Info:Generate Factor Base: Total cpu/real time for makefb: 15.22/4.04337
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020488
Info:Lattice Sieving: Average J: 3785.51 for 548548 special-q, max bucket fill -bkmult 1.0,1s:1.192080
Info:Lattice Sieving: Total time: 221801s
Info:Linear Algebra: Total cpu/real time for bwc: 23488.6/6036.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14906.93, WCT time 3817.99, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Linear Algebra: Lingen CPU time 233.64, WCT time 59.33
Info:Linear Algebra: Mksol: CPU time 8141.12,  WCT time 2083.34, 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: 247.54/62.7092
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.03/86.6312
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5960.24
Info:Polynomial Selection (root optimized): Rootsieve time: 5957.82
Info:Filtering - Merging: Merged matrix has 1228086 rows and total weight 208814734 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 316.83/88.0105
Info:Filtering - Merging: Total cpu/real time for replay: 44.44/37.6775
Info:Quadratic Characters: Total cpu/real time for characters: 40.98/16.8738
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): 54252/40.290/47.727/52.800/0.975
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44460/38.730/42.521/48.350/0.990
Info:Polynomial Selection (size optimized): Total time: 11202.1
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.31/162.372
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.9s
Info:Square Root: Total cpu/real time for sqrt: 845.73/225.839
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 463820/68936.6
Info:root: Cleaning up computation data in /tmp/cado.v32pvv10
38734035928216045247389581941018232971229864793215936173103667649466188561 172153097216228047729247498973038529167374445747135123198641
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:27:38 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 38 秒 (日本時間)

2×10239+1339

c237

name 名前Ignacio Santos
date 日付September 4, 2023 12:25:15 UTC 2023 年 9 月 4 日 (月) 21 時 25 分 15 秒 (日本時間)
composite number 合成数
600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600601<237>
prime factors 素因数
2579097714211527810400721587897405012039429969<46>
composite cofactor 合成数の残り
232872371330147136019023590792060128829919417207794583744223753134297027529310095859060060065697929075058124915069675498906128239927972159039128193030279039117338251508802935809250879978963529<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4030843802
Step 1 took 7797ms
********** Factor found in step 2: 2579097714211527810400721587897405012039429969
Found prime factor of 46 digits: 2579097714211527810400721587897405012039429969
Composite cofactor 232872371330147136019023590792060128829919417207794583744223753134297027529310095859060060065697929075058124915069675498906128239927972159039128193030279039117338251508802935809250879978963529 has 192 digits
software ソフトウェア
GMP-ECM

c192

name 名前Ignacio Santos
date 日付September 9, 2023 06:20:49 UTC 2023 年 9 月 9 日 (土) 15 時 20 分 49 秒 (日本時間)
composite number 合成数
232872371330147136019023590792060128829919417207794583744223753134297027529310095859060060065697929075058124915069675498906128239927972159039128193030279039117338251508802935809250879978963529<192>
prime factors 素因数
547001806646676227311642970912650119696071<42>
425725049717369428567724862456635314864293029347793550025550112401352620081356498933193424357401047824928328271617100004236917723775492834667280127599<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3767039273
Step 1 took 7484ms
Step 2 took 3516ms
********** Factor found in step 2: 547001806646676227311642970912650119696071
Found prime factor of 42 digits: 547001806646676227311642970912650119696071
Prime cofactor 425725049717369428567724862456635314864293029347793550025550112401352620081356498933193424357401047824928328271617100004236917723775492834667280127599 has 150 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)
403e6602 / 2078Marlon TrifunovicFebruary 16, 2022 08:31:09 UTC 2022 年 2 月 16 日 (水) 17 時 31 分 9 秒 (日本時間)

2×10240+1339

c234

name 名前Ignacio Santos
date 日付September 4, 2023 12:26:06 UTC 2023 年 9 月 4 日 (月) 21 時 26 分 6 秒 (日本時間)
composite number 合成数
355993570044137862781922432917016652845216309703014144158528208663495119951143442447142519711808965306468634563522513656358338855683588643021929737905073958554160594751337601340244592502170225801381575445984294631670362769907649928027<234>
prime factors 素因数
1756000479990900556060510121318579467<37>
202729768072718631000240911760224761663999185834163952911004095164018291306443170883979565574557142881924477372309469968711759036254369949680932941388594747357798772485037035138415986840943244733681<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3685150561
Step 1 took 11593ms
Step 2 took 4672ms
********** Factor found in step 2: 1756000479990900556060510121318579467
Found prime factor of 37 digits: 1756000479990900556060510121318579467
Prime cofactor 202729768072718631000240911760224761663999185834163952911004095164018291306443170883979565574557142881924477372309469968711759036254369949680932941388594747357798772485037035138415986840943244733681 has 198 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)
403e6602 / 2078Marlon TrifunovicMarch 2, 2022 07:44:12 UTC 2022 年 3 月 2 日 (水) 16 時 44 分 12 秒 (日本時間)

2×10241+1339

c206

composite cofactor 合成数の残り
42814077710937672866708170855953425517753214516389308582347610360743131149128216457896551342969577820152338923733713195941845492492394731310671571030483079993203428079245449870331317863023589205477288009627<206>

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)
403e62952602Marlon TrifunovicFebruary 17, 2022 16:15:14 UTC 2022 年 2 月 18 日 (金) 1 時 15 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 12:26:30 UTC 2023 年 9 月 4 日 (月) 21 時 26 分 30 秒 (日本時間)

2×10242+1339

c240

composite cofactor 合成数の残り
600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600601<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)
403e62952602Marlon TrifunovicMarch 2, 2022 07:05:21 UTC 2022 年 3 月 2 日 (水) 16 時 5 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 12:26:49 UTC 2023 年 9 月 4 日 (月) 21 時 26 分 49 秒 (日本時間)

2×10243+1339

c206

composite cofactor 合成数の残り
32205835283612711924507491236075090160408450106366845155477502930834891366088484660561518881474844733549716387316148838198921819648051941536108284603375447927541240410360271215833593155882440767006522413437<206>

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)
403e62952602Marlon TrifunovicFebruary 17, 2022 18:20:45 UTC 2022 年 2 月 18 日 (金) 3 時 20 分 45 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 12:27:10 UTC 2023 年 9 月 4 日 (月) 21 時 27 分 10 秒 (日本時間)

2×10245+1339

c197

composite cofactor 合成数の残り
14878514483420621802246402976171797635676735951386037566228592013929850804149095753686060050715843357966921264065780592179063173768117577812467026431873406919856112235060524671594513231778360192967<197>

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)
403e62952602Marlon TrifunovicFebruary 17, 2022 12:40:25 UTC 2022 年 2 月 17 日 (木) 21 時 40 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 12:27:22 UTC 2023 年 9 月 4 日 (月) 21 時 27 分 22 秒 (日本時間)

2×10248+1339

c128

name 名前Bob Backstrom
date 日付December 29, 2021 17:17:00 UTC 2021 年 12 月 30 日 (木) 2 時 17 分 0 秒 (日本時間)
composite number 合成数
75735998989392178828149288717216128752620924829385954031268363798712627779125467973025561201564962616591101029130993342104332889<128>
prime factors 素因数
50982244499536361496427742944019753096622075175476729083<56>
1485536773299200879135937012038644055249727833677592740777155960631793083<73>
factorization results 素因数分解の結果
CADO

STA:Wed 29 Dec 2021 22:47:03 AEDT (75,735,998,989,392,178,828,149,288,717,216,128,752,620,924,829,385,954,031,268,363,798,712,627,779,125,467,973,025,561,201,564,962,616,591,101,029,130,993,342,104,332,889 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 75735998989392178828149288717216128752620924829385954031268363798712627779125467973025561201564962616591101029130993342104332889 2>&1 | tee -a log127

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.6fbk7mzf
Info:Database: Opened connection to database /tmp/cado.6fbk7mzf/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7573599898939217882814928871721612875262092482938595403126836379871262777912546797302
5561201564962616591101029130993342104332889
Debug:root: Root parameter dictionary:
N = 75735998989392178828149288717216128752620924829385954031268363798712627779125467973025561201564962616591101029130993342104332889
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 75735998989392178828149288717216128752620924829385954031268363798712627779125467973025561201564962616591101029130993342104332889
skew: 23163.321
c0: -21711513408316786902711592158
c1: 2347172938250502257415923
c2: 309538830700353327414
c3: -3510226660420523
c4: -278724429576
c5: 3749760
Y0: -3253754402709604353678720
Y1: 136033875975256081
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.27e-09
# f(x) = 3749760*x^5-278724429576*x^4-3510226660420523*x^3+309538830700353327414*x^2+2347172938250502257415923*x-21711513408316786902711592158
# g(x) = 136033875975256081*x-3253754402709604353678720
...
Info:Square Root: finished
Info:Square Root: Factors: 50982244499536361496427742944019753096622075175476729083 1485536773299200879135937012038644055249727833677592740777155960631793083
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1660.67/228.569
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38366/38.840/45.628/49.530/0.863
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38366/37.180/40.988/46.430/1.056
Info:Polynomial Selection (size optimized): Total time: 5831.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1959.58
Info:Polynomial Selection (root optimized): Rootsieve time: 1958.67
Info:Generate Factor Base: Total cpu/real time for makefb: 58.69/5.19081
Info:Generate Free Relations: Total cpu/real time for freerel: 303.76/20.2804
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19217255
Info:Lattice Sieving: Average J: 7614.2 for 65965 special-q, max bucket fill: 0.636706
Info:Lattice Sieving: Total CPU time: 215566s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.5/68.539
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.69/105.062
Info:Filtering - Singleton removal: Total cpu/real time for purge: 208.16/85.0497
Info:Filtering - Merging: Total cpu/real time for merge: 829.37/749.808
Info:Filtering - Merging: Total cpu/real time for replay: 58.58/48.129
Info:Linear Algebra: Total cpu/real time for bwc: 48114.1/0.000339985
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2102.35
Info:Linear Algebra: Lingen CPU time 327.43, WCT time 32.07
Info:Linear Algebra: Mksol: WCT time 1127.32
Info:Quadratic Characters: Total cpu/real time for characters: 55.7/13.2068
Info:Square Root: Total cpu/real time for sqrt: 1660.67/228.569
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 275027/19555.5
Info:root: Cleaning up computation data in /tmp/cado.6fbk7mzf
50982244499536361496427742944019753096622075175476729083 1485536773299200879135937012038644055249727833677592740777155960631793083

END:Thu 30 Dec 2021 04:12:59 AEDT (75,735,998,989,392,178,828,149,288,717,216,128,752,620,924,829,385,954,031,268,363,798,712,627,779,125,467,973,025,561,201,564,962,616,591,101,029,130,993,342,104,332,889 - C128)

ECM

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

2×10249+1339

c214

composite cofactor 合成数の残り
1033528108422535023601966428717837462570773718480160160889438482945969218022489329577805055661982653642597269605612839469350377922195474536492574986098834613958506548938207145916023459323557115504791642852456742311<214>

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)
403e62952602Marlon TrifunovicFebruary 18, 2022 10:07:58 UTC 2022 年 2 月 18 日 (金) 19 時 7 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 12:49:16 UTC 2023 年 9 月 4 日 (月) 21 時 49 分 16 秒 (日本時間)

2×10250+1339

c205

composite cofactor 合成数の残り
1242325634440634772132214207521191687481182909229049689017378899846594920500445139629268766750751976137347002883487194987036680214375538741967288058596262445074456323743362846659889419201429452491130317393<205>

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)
403e62952602Marlon TrifunovicFebruary 17, 2022 18:49:19 UTC 2022 年 2 月 18 日 (金) 3 時 49 分 19 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 13:44:02 UTC 2023 年 9 月 4 日 (月) 22 時 44 分 2 秒 (日本時間)

2×10251+1339

c203

composite cofactor 合成数の残り
26961627382053634010219217274507564030694389754286019674255591683507753662314457489556322608597802514302451703497988352284146525918917336027593362905412141444893380746824207967993919983500575664013995581<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)
403e62952602Marlon TrifunovicFebruary 17, 2022 23:28:01 UTC 2022 年 2 月 18 日 (金) 8 時 28 分 1 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 13:44:12 UTC 2023 年 9 月 4 日 (月) 22 時 44 分 12 秒 (日本時間)

2×10254+1339

c236

composite cofactor 合成数の残り
50476501928707698161844406726953491339015961791087170132467304978669782013552818235406918693225646807987668185867153596704668178873912268642294720188377640299067113328410473192577321533738107537683529190429807279152455861262506263026873<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)
403e62952602Marlon TrifunovicMarch 3, 2022 06:48:34 UTC 2022 年 3 月 3 日 (木) 15 時 48 分 34 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 13:44:34 UTC 2023 年 9 月 4 日 (月) 22 時 44 分 34 秒 (日本時間)

2×10255+1339

c227

composite cofactor 合成数の残り
31490109757760221867594437730384261824634687030648228264095058111318863138259128131042139724889881358409943786962835743346315475815596607743534751351939189732584178688308507347303952159093022872247112272637307179260205754911953<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62952602Marlon TrifunovicFebruary 18, 2022 14:20:09 UTC 2022 年 2 月 18 日 (金) 23 時 20 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 13:44:44 UTC 2023 年 9 月 4 日 (月) 22 時 44 分 44 秒 (日本時間)

2×10256+1339

c191

composite cofactor 合成数の残り
55144790644900535215047361605851152140602600559205950341311921970448798656065555021282988554202484150249724056255291212426627735903725615856925886582809267650178099937702402834776083687200699<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)
403e62952602Marlon TrifunovicFebruary 17, 2022 18:31:47 UTC 2022 年 2 月 18 日 (金) 3 時 31 分 47 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 14:07:23 UTC 2023 年 9 月 4 日 (月) 23 時 7 分 23 秒 (日本時間)

2×10258+1339

c210

composite cofactor 合成数の残り
210681286736637979102313023410970837613998402870798435316961804554908414084216116518684481094611940239396858099183389838469348029664205396454997130360110389560680015966196594821406668462373494975766524684863277<210>

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)
403e62952602Marlon TrifunovicFebruary 17, 2022 22:26:20 UTC 2022 年 2 月 18 日 (金) 7 時 26 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 14:07:33 UTC 2023 年 9 月 4 日 (月) 23 時 7 分 33 秒 (日本時間)

2×10262+1339

c237

composite cofactor 合成数の残り
880377217131433774116312266671444129669216248408262778590534556783475288285824424012732131856089146974158884845399227393647559099605494443637816359367135740119655422337290074410590446027448862538352560150222996742152884153242990093852037<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)
403e62952602Marlon TrifunovicMarch 2, 2022 00:27:10 UTC 2022 年 3 月 2 日 (水) 9 時 27 分 10 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 14:21:55 UTC 2023 年 9 月 4 日 (月) 23 時 21 分 55 秒 (日本時間)

2×10263+1339

c207

composite cofactor 合成数の残り
314890399936165480053828096129760877527795532116541586415336706212568192266656773346833384595487809501716833775034421664421300461218292444047841904573551540191243575970625036762634931855987469666417110465909<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)
403e62952602Marlon TrifunovicFebruary 18, 2022 23:15:02 UTC 2022 年 2 月 19 日 (土) 8 時 15 分 2 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 14:35:04 UTC 2023 年 9 月 4 日 (月) 23 時 35 分 4 秒 (日本時間)

2×10268+1339

c257

composite cofactor 合成数の残り
21866116044353535039719912858787732740692528339727331100137046665005609588496231300616732895259183874458292968209925669378508031971695349899214778996990920735654137412852506207119134494077605032328378269756654793000720038974901775708578859271050605047990243<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 22:29:21 UTC 2022 年 1 月 8 日 (土) 7 時 29 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 15:00:32 UTC 2023 年 9 月 5 日 (火) 0 時 0 分 32 秒 (日本時間)

2×10269+1339

c254

composite cofactor 合成数の残り
10020277850336769567090330917022967715195012807467849984181071991377498415884677423425489039572792714649863968850862549198428187097056803287646488155110582065609512964803618388504266046862302902912124011485890400729037107870542410117704671853176922082203<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)
403e633501000Dmitry DomanovJanuary 7, 2022 22:29:31 UTC 2022 年 1 月 8 日 (土) 7 時 29 分 31 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 15:10:43 UTC 2023 年 9 月 5 日 (火) 0 時 10 分 43 秒 (日本時間)

2×10270+1339

c232

composite cofactor 合成数の残り
9579205668945943913241973379897621192402050414201476672922636542361494192428050647124637695590565993303536125544835161986920859688841979043991245223390279626046586437050288019444132119126875360627832324445694177818295735682657658859<232>

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)
403e62078Marlon TrifunovicFebruary 15, 2022 23:29:28 UTC 2022 年 2 月 16 日 (水) 8 時 29 分 28 秒 (日本時間)

2×10272+1339

c204

composite cofactor 合成数の残り
515919107249809855580460364646822298203404477605040654297524477502389339352397896093398547852157111692511130044584135941865303755881072819999848017835040057786356542478207105007938919733498645702497881883<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)
403e62952602Marlon TrifunovicFebruary 20, 2022 18:53:36 UTC 2022 年 2 月 21 日 (月) 3 時 53 分 36 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 14:43:10 UTC 2023 年 9 月 3 日 (日) 23 時 43 分 10 秒 (日本時間)

2×10273+1339

c253

composite cofactor 合成数の残り
2990441655138018701189790364315799543791472766788744022249594559913935752495641568151079924487820578107613917145016261833169013715639835383985997569867295013424237828915681555089628422081192198278279669691900750754973862723059152016826558077421259805461<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 22:29:38 UTC 2022 年 1 月 8 日 (土) 7 時 29 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 14:43:22 UTC 2023 年 9 月 3 日 (日) 23 時 43 分 22 秒 (日本時間)

2×10274+1339

c245

composite cofactor 合成数の残り
28232526354830508934728687702533012026546725648689759926666378769066267803621659409817693506868456176179662311975323550112909176699307465463034453178762058424994082920456442603987579165515751024525676197295743483242342321805333519960912138840023<245>

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)
403e62952602Marlon TrifunovicFebruary 28, 2022 23:37:08 UTC 2022 年 3 月 1 日 (火) 8 時 37 分 8 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 14:51:59 UTC 2023 年 9 月 3 日 (日) 23 時 51 分 59 秒 (日本時間)

2×10276+1339

c223

composite cofactor 合成数の残り
1044856566158632577616462243337204289056804217933810103580159046564951234381861425836725686793264856628599073136183019819886249103834548579201690795645870113780541049866539102052734828141523995771918485030376042561936064939<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)
403e62952602Marlon TrifunovicFebruary 22, 2022 06:20:01 UTC 2022 年 2 月 22 日 (火) 15 時 20 分 1 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 15:12:00 UTC 2023 年 9 月 4 日 (月) 0 時 12 分 0 秒 (日本時間)

2×10277+1339

c184

name 名前Ignacio Santos
date 日付December 31, 2021 14:32:40 UTC 2021 年 12 月 31 日 (金) 23 時 32 分 40 秒 (日本時間)
composite number 合成数
3710818167565639997271410596212401215872674811174514307832943954361389616898537931292650106261887992532321613890042762144088511172433242069425884154424808110449823068677037147134509421<184>
prime factors 素因数
10439437497931464383020558487977136843<38>
355461505306289230761963622375619443704999119607670981103698455550400970417794735188029846044654673384893054395222200929925731534235455441777204647<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2359275958
Step 1 took 8547ms
Step 2 took 4234ms
********** Factor found in step 2: 10439437497931464383020558487977136843
Found prime factor of 38 digits: 10439437497931464383020558487977136843
Prime cofactor 355461505306289230761963622375619443704999119607670981103698455550400970417794735188029846044654673384893054395222200929925731534235455441777204647 has 147 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)

2×10278+1339

c267

name 名前Dmitry Domanov
date 日付January 10, 2022 04:53:44 UTC 2022 年 1 月 10 日 (月) 13 時 53 分 44 秒 (日本時間)
composite number 合成数
329401346049703966906296656029747283644562896974795926513718016181050307822151626479193597638438772652996956620679709169901206092389391615688463830083030374902271926253358487344483746012925570078437440986589259519518730240954249823844415342102006642053178782362078211<267>
prime factors 素因数
1353571104899232722854503742889025903601<40>
243357253163457869973654255102692492243354573443482905439671497565530882392583315443366771032731882084727318055103198364610348013478977996714980236070404765051516056454302730487275717100263347539239791039663310754746518294178611<228>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1781519723
Step 1 took 14786ms
Step 2 took 4720ms
********** Factor found in step 2: 1353571104899232722854503742889025903601
Found probable prime factor of 40 digits: 1353571104899232722854503742889025903601
Probable prime cofactor 243357253163457869973654255102692492243354573443482905439671497565530882392583315443366771032731882084727318055103198364610348013478977996714980236070404765051516056454302730487275717100263347539239791039663310754746518294178611 has 228 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 7, 2022 22:29:44 UTC 2022 年 1 月 8 日 (土) 7 時 29 分 44 秒 (日本時間)

2×10279+1339

c265

composite cofactor 合成数の残り
5519204496437050135135662213757589063028392624029794495885837871978793179441384773472938616247250009764742487895680193661819161854958812323395573466260119665560139690988161646339853220978566032975241962044662111774512046951427075523190955183007498532419142573331757<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)
403e633501000Dmitry DomanovJanuary 7, 2022 22:29:50 UTC 2022 年 1 月 8 日 (土) 7 時 29 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 15:31:44 UTC 2023 年 9 月 4 日 (月) 0 時 31 分 44 秒 (日本時間)

2×10280+1339

c255

composite cofactor 合成数の残り
198625476334176650035305999140950798772406633112488266921401996840861833965390029556955505193481681079732311811244648640640046272639320951042703511009488908503295271004637233145597031976706355806064885095420000851915932057144400312283946545616240648971047<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)
403e633501000Dmitry DomanovJanuary 7, 2022 22:29:57 UTC 2022 年 1 月 8 日 (土) 7 時 29 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 15:41:45 UTC 2023 年 9 月 4 日 (月) 0 時 41 分 45 秒 (日本時間)

2×10281+1339

c236

composite cofactor 合成数の残り
49056329330276444176604563712444726952421037832986676688131419133160184098142367009493236019461637555510669037722386611433059991502175592411385944083405405706175714995176196776047364470371718811459027598143358322824177070652111811524263<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)
403e62952602Marlon TrifunovicMarch 2, 2022 14:31:06 UTC 2022 年 3 月 2 日 (水) 23 時 31 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 06:47:18 UTC 2023 年 9 月 4 日 (月) 15 時 47 分 18 秒 (日本時間)

2×10282+1339

c277

composite cofactor 合成数の残り
3596352579214160997915913680345393701707728022239844349860371611112010199255914651360590089531197459536538043116671072198576204013889113660925089773951258633493910475995245621890278879160755162114583389526342383554598925769484588730109922516583680830901299901639756958492696707<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 22:30:06 UTC 2022 年 1 月 8 日 (土) 7 時 30 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 06:59:05 UTC 2023 年 9 月 4 日 (月) 15 時 59 分 5 秒 (日本時間)

2×10283+1339

c211

composite cofactor 合成数の残り
1054720257325120483251990285501766108391432905229693331390778323977482683615275464245647413086333575851774915716656438071450076950066342146903710294126304202835324426946224718619290313156955318294635936057940329<211>

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)
403e62952602Marlon TrifunovicFebruary 16, 2022 22:06:55 UTC 2022 年 2 月 17 日 (木) 7 時 6 分 55 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 07:16:43 UTC 2023 年 9 月 4 日 (月) 16 時 16 分 43 秒 (日本時間)

2×10284+1339

c282

composite cofactor 合成数の残り
600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600600601<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 22:30:14 UTC 2022 年 1 月 8 日 (土) 7 時 30 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 07:29:12 UTC 2023 年 9 月 4 日 (月) 16 時 29 分 12 秒 (日本時間)

2×10285+1339

c249

composite cofactor 合成数の残り
913992475152886564917857870786857159879848840229011625844335812690384047846152299994473708138342240607549192436350156079638424057025757649079530444444990408070014110095774273689042525970987711506425067862608042209088193395532299135527491026683131637<249>

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)
403e62952602Marlon TrifunovicMarch 2, 2022 13:37:52 UTC 2022 年 3 月 2 日 (水) 22 時 37 分 52 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 07:45:06 UTC 2023 年 9 月 4 日 (月) 16 時 45 分 6 秒 (日本時間)

2×10286+1339

c277

composite cofactor 合成数の残り
6032640423258932142549716269401926643587732950134704924353495778289912150605879237194179135780757998065850420073218404155351013030343750900098229152216701912835869189780276754431573658301731142874477132315626833603147248295874773188065614540816348768279111247849352000867370627<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 21:02:59 UTC 2022 年 1 月 8 日 (土) 6 時 2 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 07:58:43 UTC 2023 年 9 月 4 日 (月) 16 時 58 分 43 秒 (日本時間)

2×10289+1339

c273

composite cofactor 合成数の残り
576311625113522901546087903508984297570945259001164853835868436700478857514478105560858141446836474219374187426104356905509510379946876117136558233445278989493113378805247506014462673715753362212862550792562145661084345558721591195258688131025860154099345613556351624930917<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 22:25:17 UTC 2022 年 1 月 8 日 (土) 7 時 25 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 08:17:54 UTC 2023 年 9 月 4 日 (月) 17 時 17 分 54 秒 (日本時間)

2×10290+1339

c246

composite cofactor 合成数の残り
140317779098481936232803781272987812488725921728394384589997204529146421183881050368406230128883105344050844493997413101918451893869090422728584258320202264578319222258133523313122537017810603299365692539816657231876389697155839809240089540388319<246>

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)
403e62952602Marlon TrifunovicMarch 4, 2022 09:50:08 UTC 2022 年 3 月 4 日 (金) 18 時 50 分 8 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 08:34:23 UTC 2023 年 9 月 4 日 (月) 17 時 34 分 23 秒 (日本時間)

2×10291+1339

c275

name 名前Dmitry Domanov
date 日付January 8, 2022 00:27:39 UTC 2022 年 1 月 8 日 (土) 9 時 27 分 39 秒 (日本時間)
composite number 合成数
52564152787832186406986044210884317661683811167612278814150188971590306541814662928243468191912986503682219133855749147427066196044411129723940204828697986582585483780359600204604004242765387292947693267113718668664868817432445652574031094196609610228879172866557678765530279<275>
prime factors 素因数
7095779861811477811845698076039927659<37>
composite cofactor 合成数の残り
7407804894106891332847724443443640223678318177681666669035748327285740291383185949172816962478220061622079456375939638966966044639487690800133003748290921219965387504376112713861761197430644737599239684234734587431994582420991073603136181<238>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:992581439
Step 1 took 14867ms
Step 2 took 5844ms
********** Factor found in step 2: 7095779861811477811845698076039927659
Found prime factor of 37 digits: 7095779861811477811845698076039927659
Composite cofactor 7407804894106891332847724443443640223678318177681666669035748327285740291383185949172816962478220061622079456375939638966966044639487690800133003748290921219965387504376112713861761197430644737599239684234734587431994582420991073603136181 has 238 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 21:03:47 UTC 2022 年 1 月 8 日 (土) 6 時 3 分 47 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2023 08:50:22 UTC 2023 年 9 月 4 日 (月) 17 時 50 分 22 秒 (日本時間)

2×10292+1339

c242

name 名前Marlon Trifunovic
date 日付February 28, 2022 23:26:08 UTC 2022 年 3 月 1 日 (火) 8 時 26 分 8 秒 (日本時間)
composite number 合成数
15734763351810873347498416396613562261337402761855778046157335629804732121415347789382211302479666788373707718973375044884548212561806198695003038171129201863497146451186857951371737745708502888775704057865014269722028228062833860062862192943<242>
prime factors 素因数
330503143622046344919971133188071445807687<42>
composite cofactor 合成数の残り
47608513430070985985296369342916641353193023318783312451185037117014093309073428148768664265742448682118400385784303083386558921790868751462098255705999075735963739097499987111045858102636651373782489<200>
factorization results 素因数分解の結果
Run 134 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3148571744
Step 1 took 24737ms
********** Factor found in step 1: 330503143622046344919971133188071445807687
Found prime factor of 42 digits: 330503143622046344919971133188071445807687
Composite cofactor 47608513430070985985296369342916641353193023318783312451185037117014093309073428148768664265742448682118400385784303083386558921790868751462098255705999075735963739097499987111045858102636651373782489 has 200 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

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)
403e62952602Marlon TrifunovicFebruary 24, 2022 04:55:44 UTC 2022 年 2 月 24 日 (木) 13 時 55 分 44 秒 (日本時間)
2350Ignacio SantosMarch 2, 2022 16:11:31 UTC 2022 年 3 月 3 日 (木) 1 時 11 分 31 秒 (日本時間)
4511e63782Taiyo KodamaApril 9, 2022 03:10:44 UTC 2022 年 4 月 9 日 (土) 12 時 10 分 44 秒 (日本時間)
5043e67000SyjApril 22, 2022 10:32:38 UTC 2022 年 4 月 22 日 (金) 19 時 32 分 38 秒 (日本時間)

2×10294+1339

c266

composite cofactor 合成数の残り
25049860493772332269587098018521009335372030345261975937398838918936364701471683499485324546961577055986889248463807646511776226028730936939115700462295204355726232185025898171883694713621183391879731494969601910311009064526247639611741513666042102739678564048346077<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 08:10:30 UTC 2022 年 1 月 7 日 (金) 17 時 10 分 30 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 13:06:59 UTC 2023 年 9 月 3 日 (日) 22 時 6 分 59 秒 (日本時間)

2×10295+1339

c286

composite cofactor 合成数の残り
7311914991892736938800374520234318841608083302135128642737599340495100344442050486916523802906996507824647127284107749930908892651168940732369646116172394904775539968753679252800115851735991146578315218445988477403962960457779021490646408780974646088681422514006822263098971150349135587<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 08:09:12 UTC 2022 年 1 月 7 日 (金) 17 時 9 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 13:52:17 UTC 2023 年 9 月 3 日 (日) 22 時 52 分 17 秒 (日本時間)

2×10296+1339

c213

composite cofactor 合成数の残り
748624324105040278464720571861537654660005969810350157090535126051750769258022235151318284171836825467995126783705188945297695375377003916202154146209813000049174887855255663130888003233314727390308549515810274171<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)
403e62952602Marlon TrifunovicFebruary 21, 2022 04:50:58 UTC 2022 年 2 月 21 日 (月) 13 時 50 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 13:52:39 UTC 2023 年 9 月 3 日 (日) 22 時 52 分 39 秒 (日本時間)

2×10298+1339

c261

composite cofactor 合成数の残り
563717383446452419639275690421414391850646652287866366770609741691347111521273201183153078201502522638852670102627670884029365813703746689068445546180762708386025141175436272958487764443981536203768884727666733349420077631828160518270471038283172106616923748937<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 16:33:22 UTC 2022 年 1 月 8 日 (土) 1 時 33 分 22 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 13:53:01 UTC 2023 年 9 月 3 日 (日) 22 時 53 分 1 秒 (日本時間)

2×10299+1339

c294

composite cofactor 合成数の残り
408294086064310401495989531339633311081305642828416451801903875323317879402175799184636710129572128212508905914752277770632631271652345751597960979334194833854929028280489871244459959619714888239701292046635350510265534058871924269612916791706730523861727124813460639429368185316519782869205031<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 7, 2022 08:08:53 UTC 2022 年 1 月 7 日 (金) 17 時 8 分 53 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2023 14:07:04 UTC 2023 年 9 月 3 日 (日) 23 時 7 分 4 秒 (日本時間)

2×10300+1339

c225

name 名前Dmitry Domanov
date 日付January 1, 2022 09:40:20 UTC 2022 年 1 月 1 日 (土) 18 時 40 分 20 秒 (日本時間)
composite number 合成数
479435102109356081308594134128168692990741206773781277044218148819544483629074035006388565871214797730645991772789327514621332282094717599184692555310362729033745653238544049519551878519598413949847672783556458842963571069241<225>
prime factors 素因数
76059905539011639139860904721390910983<38>
composite cofactor 合成数の残り
6303388082219620692094370443071134395350494896373494162484653502452540255558380335539096596252528248900501329174503189221533104810570206582253470171276713155582985587120668685208176436927<187>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2134405006
Step 1 took 36368ms
********** Factor found in step 1: 76059905539011639139860904721390910983
Found prime factor of 38 digits: 76059905539011639139860904721390910983
Composite cofactor 6303388082219620692094370443071134395350494896373494162484653502452540255558380335539096596252528248900501329174503189221533104810570206582253470171276713155582985587120668685208176436927 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2021 00:17:42 UTC 2021 年 12 月 29 日 (水) 9 時 17 分 42 秒 (日本時間)
4511e61800Dmitry DomanovDecember 31, 2021 09:20:55 UTC 2021 年 12 月 31 日 (金) 18 時 20 分 55 秒 (日本時間)
5043e6800 / 7106Dmitry DomanovJanuary 3, 2022 09:34:10 UTC 2022 年 1 月 3 日 (月) 18 時 34 分 10 秒 (日本時間)