Table of contents 目次

19×10105+269

c105

name 名前Eric Jeancolas
date 日付May 29, 2022 18:41:43 UTC 2022 年 5 月 30 日 (月) 3 時 41 分 43 秒 (日本時間)
composite number 合成数
150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651<105>
prime factors 素因数
42430440740482963294330306248663994676981<41>
3553902532286879779794424114404382532794523365453442947702488071<64>
factorization results 素因数分解の結果
150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651=42430440740482963294330306248663994676981*3553902532286879779794424114404382532794523365453442947702488071

cado polynomial
n: 150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651
skew: 0.61
type: snfs
c0: 13
c4: 95
Y0: 100000000000000000000000000
Y1: -1
# f(x) = 95*x^4+13
# g(x) = -x+100000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 410000
tasks.lim1 = 410000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 44
tasks.sieve.mfb1 = 44
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 42430440740482963294330306248663994676981 3553902532286879779794424114404382532794523365453442947702488071
Info:Square Root: Total cpu/real time for sqrt: 5.38/4.48985
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.69/55.0971
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4249910
Info:Lattice Sieving: Average J: 1884.32 for 7616 special-q, max bucket fill -bkmult 1.0,1s:1.376170
Info:Lattice Sieving: Total time: 2162s
Info:Linear Algebra: Total cpu/real time for bwc: 39.55/36.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6.21, WCT time 7.43, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1024 iterations)
Info:Linear Algebra: Lingen CPU time 28.25, WCT time 23.13
Info:Linear Algebra: Mksol: CPU time 3.02,  WCT time 3.89, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (448 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.46/14.3653
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 14.4/24.9491
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.8s
Info:Filtering - Merging: Merged matrix has 30660 rows and total weight 5133630 (167.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.8/18.6454
Info:Filtering - Merging: Total cpu/real time for replay: 0.99/1.15818
Info:Generate Factor Base: Total cpu/real time for makefb: 0.23/0.306631
Info:Quadratic Characters: Total cpu/real time for characters: 0.91/0.815177
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 29.02/49.489
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.6s
Info:Square Root: Total cpu/real time for sqrt: 5.38/4.48985
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2223.81/1488.11
Info:root: Cleaning up computation data in /tmp/cado.rhlgh468
42430440740482963294330306248663994676981 3553902532286879779794424114404382532794523365453442947702488071
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10112+269

c111

name 名前Eric Jeancolas
date 日付May 30, 2022 17:57:37 UTC 2022 年 5 月 31 日 (火) 2 時 57 分 37 秒 (日本時間)
composite number 合成数
130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611797<111>
prime factors 素因数
467749163456774817740676719989852964286550851833<48>
278601247991143966981180359934367943062019639704213514975714109<63>
factorization results 素因数分解の結果
130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611797=467749163456774817740676719989852964286550851833*278601247991143966981180359934367943062019639704213514975714109

cado polynomial
n: 130315500685871056241426611796982167352537722908093278463648834019204389574759945130315500685871056241426611797
skew: 1.08
type: snfs
c0: 26
c4: 19
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 19*x^4+26
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 540000
tasks.lim1 = 540000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 278601247991143966981180359934367943062019639704213514975714109 467749163456774817740676719989852964286550851833
Info:Square Root: Total cpu/real time for sqrt: 4.77/4.27512
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.25/49.0783
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3657714
Info:Lattice Sieving: Average J: 1886.23 for 8658 special-q, max bucket fill -bkmult 1.0,1s:1.351950
Info:Lattice Sieving: Total time: 1862.13s
Info:Linear Algebra: Total cpu/real time for bwc: 47.04/46.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10.97, WCT time 12.81, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1280 iterations)
Info:Linear Algebra: Lingen CPU time 27.67, WCT time 23.68
Info:Linear Algebra: Mksol: CPU time 5.85,  WCT time 7.15, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (640 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.68/23.3518
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.54/45.8679
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.3s
Info:Filtering - Merging: Merged matrix has 38999 rows and total weight 6649033 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 17.43/14.9901
Info:Filtering - Merging: Total cpu/real time for replay: 1.3/1.35332
Info:Generate Factor Base: Total cpu/real time for makefb: 0.27/0.152535
Info:Quadratic Characters: Total cpu/real time for characters: 1.28/1.20265
Info:Square Root: Total cpu/real time for sqrt: 4.77/4.27512
Info:Generate Free Relations: Total cpu/real time for freerel: 18.39/6.18536
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2140.52/1221.65
Info:root: Cleaning up computation data in /tmp/cado.tb4vn4n9
278601247991143966981180359934367943062019639704213514975714109 467749163456774817740676719989852964286550851833
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10133+269

c116

name 名前Eric Jeancolas
date 日付June 1, 2022 08:57:51 UTC 2022 年 6 月 1 日 (水) 17 時 57 分 51 秒 (日本時間)
composite number 合成数
10626279252169539312704694512014478581713732074642471746872161862481526478346304653269234248893789801989886445675257<116>
prime factors 素因数
326748766970483880298454052188971<33>
32521252798268219641491762370549493218083384058868217661403414905635337185705820267<83>
factorization results 素因数分解の結果
10626279252169539312704694512014478581713732074642471746872161862481526478346304653269234248893789801989886445675257=326748766970483880298454052188971*32521252798268219641491762370549493218083384058868217661403414905635337185705820267

cado polynomial
n: 10626279252169539312704694512014478581713732074642471746872161862481526478346304653269234248893789801989886445675257
skew: 0.61
type: snfs
c0: 13
c4: 95
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 95*x^4+13
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1200000
tasks.lim1 = 1200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 326748766970483880298454052188971 32521252798268219641491762370549493218083384058868217661403414905635337185705820267
Info:Square Root: Total cpu/real time for sqrt: 15.37/12.5771
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.01/73.3956
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.9s
Info:Square Root: Total cpu/real time for sqrt: 15.37/12.5771
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.87/75.4364
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6061537
Info:Lattice Sieving: Average J: 1890.02 for 67867 special-q, max bucket fill -bkmult 1.0,1s:1.353000
Info:Lattice Sieving: Total time: 12621.5s
Info:Linear Algebra: Total cpu/real time for bwc: 269.17/255.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 95.77, WCT time 96.35, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3520 iterations)
Info:Linear Algebra: Lingen CPU time 113.69, WCT time 98.37
Info:Linear Algebra: Mksol: CPU time 52.74,  WCT time 54.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1792 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.33/39.9678
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.47/25.6819
Info:Filtering - Merging: Merged matrix has 111373 rows and total weight 18942708 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.03/22.68
Info:Filtering - Merging: Total cpu/real time for replay: 3.54/3.98748
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.795396
Info:Quadratic Characters: Total cpu/real time for characters: 3.52/2.97414
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12227.2/6967.68
Info:root: Cleaning up computation data in /tmp/cado.ae80rsp8
326748766970483880298454052188971 32521252798268219641491762370549493218083384058868217661403414905635337185705820267
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10134+269

c131

name 名前Dmitry Domanov
date 日付June 1, 2022 13:28:12 UTC 2022 年 6 月 1 日 (水) 22 時 28 分 12 秒 (日本時間)
composite number 合成数
14128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705067<131>
prime factors 素因数
228921171152310394778305685407157648467042815366253<51>
61718647497218224059936348555283945269983006348138973098185645661516769177640439<80>
factorization results 素因数分解の結果
N=14128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705067
  ( 131 digits)
SNFS difficulty: 134 digits.
Divisors found:
p51 factor: 228921171152310394778305685407157648467042815366253
p80 factor: 61718647497218224059936348555283945269983006348138973098185645661516769177640439
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705066999806659825398950014128705067
m: 1000000000000000000000000000000000
deg: 4
c4: 950
c0: 13
skew: 0.34
# Murphy_E = 6.543e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 172802 x 173028
Total sieving time: 3.97 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 4.05 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10136+269

c101

name 名前Dmitry Domanov
date 日付June 1, 2022 12:20:23 UTC 2022 年 6 月 1 日 (水) 21 時 20 分 23 秒 (日本時間)
composite number 合成数
19728851789443722143201582811756294375107995349636654629018076965740793678578274500538669792495608181<101>
prime factors 素因数
83265045503362645534075697783538281658301<41>
236940383208545482891295398274134234569357447702987601145881<60>
factorization results 素因数分解の結果
N=19728851789443722143201582811756294375107995349636654629018076965740793678578274500538669792495608181
  ( 101 digits)
Divisors found:
p41 factor: 83265045503362645534075697783538281658301
p60 factor: 236940383208545482891295398274134234569357447702987601145881
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.70 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 19728851789443722143201582811756294375107995349636654629018076965740793678578274500538669792495608181
skew: 308080.20
c0: 10998994446963396844335393
c1: 2078421226040324019892
c2: -8441862550464453
c3: -62102394996
c4: 26460
Y0: -929242180318636423332946
Y1: 3364130462251
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 200445 x 200670
Total sieving time: 3.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 3.70 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10137+269

c91

name 名前Eric Jeancolas
date 日付May 30, 2022 04:47:37 UTC 2022 年 5 月 30 日 (月) 13 時 47 分 37 秒 (日本時間)
composite number 合成数
2582000259876679048402346099086123253854597865260703143407332583400587172562969770122106781<91>
prime factors 素因数
228355527983310008759448370526333967101<39>
11306931269320494103584058902100614454916371012411681<53>
factorization results 素因数分解の結果
2582000259876679048402346099086123253854597865260703143407332583400587172562969770122106781=228355527983310008759448370526333967101*11306931269320494103584058902100614454916371012411681

cado polynomial
n: 2582000259876679048402346099086123253854597865260703143407332583400587172562969770122106781
skew: 15706.739
c0: -4420769916232257092584
c1: 1822119366716736927
c2: -9911488305752
c3: 3287674752
c4: 211680
Y0: -2457600350781536745373
Y1: 493900184763973
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 4.199e-06
# f(x) = 211680*x^4+3287674752*x^3-9911488305752*x^2+1822119366716736927*x-4420769916232257092584
# g(x) = 493900184763973*x-2457600350781536745373

cado parameters (extracts)
tasks.lim0 = 404327
tasks.lim1 = 811066
tasks.lpb0 = 23
tasks.lpb1 = 23
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 228355527983310008759448370526333967101 11306931269320494103584058902100614454916371012411681
Info:Square Root: Total cpu/real time for sqrt: 11.54/3.64544
Info:Filtering - Singleton removal: Total cpu/real time for purge: 7.68/7.87841
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1082318
Info:Lattice Sieving: Average J: 950.005 for 24416 special-q, max bucket fill -bkmult 1.0,1s:1.390680
Info:Lattice Sieving: Total time: 892.99s
Info:Linear Algebra: Total cpu/real time for bwc: 69.1/19.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36.38, WCT time 9.81, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2100 iterations)
Info:Linear Algebra: Lingen CPU time 7.98, WCT time 2.06
Info:Linear Algebra: Mksol: CPU time 19.99,  WCT time 5.57, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1100 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 6.29/2.04822
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.01/4.12247
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.96
Info:Polynomial Selection (root optimized): Rootsieve time: 42.63
Info:Generate Factor Base: Total cpu/real time for makefb: 0.6/0.177155
Info:Filtering - Merging: Merged matrix has 65254 rows and total weight 11123105 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 12.71/3.61021
Info:Filtering - Merging: Total cpu/real time for replay: 2.22/1.83184
Info:Quadratic Characters: Total cpu/real time for characters: 2.07/0.821936
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2246/29.230/34.229/38.460/0.819
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1381/29.170/32.924/36.000/1.143
Info:Polynomial Selection (size optimized): Total time: 36.95
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.73/11.0138
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 7.1s
Info:Square Root: Total cpu/real time for sqrt: 11.54/3.64544
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1724.82/555.333
Info:root: Cleaning up computation data in /tmp/cado.yia8k8xb
228355527983310008759448370526333967101 11306931269320494103584058902100614454916371012411681
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10138+269

c125

name 名前Eric Jeancolas
date 日付June 1, 2022 20:19:18 UTC 2022 年 6 月 2 日 (木) 5 時 19 分 18 秒 (日本時間)
composite number 合成数
86132561038388198467562099008149878702661760643230744242858407515793568903447768973663090252388069616029820928259762836612837<125>
prime factors 素因数
89432617846795252475730201396363244983689086916748066193699<59>
963100075924644210238844726014476982379041822905203477886593330263<66>
factorization results 素因数分解の結果
86132561038388198467562099008149878702661760643230744242858407515793568903447768973663090252388069616029820928259762836612837=89432617846795252475730201396363244983689086916748066193699*963100075924644210238844726014476982379041822905203477886593330263

cado polynomial
n: 86132561038388198467562099008149878702661760643230744242858407515793568903447768973663090252388069616029820928259762836612837
skew: 0.34
type: snfs
c0: 13
c4: 950
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 950*x^4+13
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1450000
tasks.lim1 = 1450000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 89432617846795252475730201396363244983689086916748066193699 963100075924644210238844726014476982379041822905203477886593330263
Info:Square Root: Total cpu/real time for sqrt: 46.17/14.4603
Info:Filtering - Singleton removal: Total cpu/real time for purge: 42.67/37.9667
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6063692
Info:Lattice Sieving: Average J: 1891.5 for 108351 special-q, max bucket fill -bkmult 1.0,1s:1.353480
Info:Lattice Sieving: Total time: 17037s
Info:Linear Algebra: Total cpu/real time for bwc: 387.47/101.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 227.17, WCT time 58.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Linear Algebra: Lingen CPU time 22.7, WCT time 5.81
Info:Linear Algebra: Mksol: CPU time 123.61,  WCT time 31.93, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/23.4434
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.65/47.7909
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.68/26.0752
Info:Filtering - Merging: Merged matrix has 167852 rows and total weight 28554432 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.69/9.36515
Info:Filtering - Merging: Total cpu/real time for replay: 5.15/4.26285
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.945061
Info:Quadratic Characters: Total cpu/real time for characters: 5.15/2.01893
Info:Square Root: Total cpu/real time for sqrt: 46.17/14.4603
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17508/8893.36
Info:root: Cleaning up computation data in /tmp/cado.wuuhvdo0
89432617846795252475730201396363244983689086916748066193699 963100075924644210238844726014476982379041822905203477886593330263
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10143+269

c130

name 名前Eric Jeancolas
date 日付June 2, 2022 11:28:43 UTC 2022 年 6 月 2 日 (木) 20 時 28 分 43 秒 (日本時間)
composite number 合成数
4987301608910528564232135219641010913960886418052713152933462196237469278869573351585215021331367435000705522848567944845983892227<130>
prime factors 素因数
24107598447521649008172619159211542631109484532323586918147<59>
206876749659120100448489106630531646171590192761126432886811440400880641<72>
factorization results 素因数分解の結果
4987301608910528564232135219641010913960886418052713152933462196237469278869573351585215021331367435000705522848567944845983892227=24107598447521649008172619159211542631109484532323586918147*206876749659120100448489106630531646171590192761126432886811440400880641

cado polynomial
n: 4987301608910528564232135219641010913960886418052713152933462196237469278869573351585215021331367435000705522848567944845983892227
skew: 0.96
type: snfs
c0: 65
c4: 76
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 76*x^4+65
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1800000
tasks.lim1 = 1800000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 206876749659120100448489106630531646171590192761126432886811440400880641 24107598447521649008172619159211542631109484532323586918147
Info:Square Root: Total cpu/real time for sqrt: 40.06/29.5723
Info:Quadratic Characters: Total cpu/real time for characters: 7.84/6.47469
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.99/74.8586
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 40.06/29.5723
Info:Linear Algebra: Total cpu/real time for bwc: 1056.6/928.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 501.26, WCT time 427.15, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 258.62, WCT time 222.13
Info:Linear Algebra: Mksol: CPU time 274.83,  WCT time 259.5, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.12/52.5102
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6075799
Info:Lattice Sieving: Average J: 1891.47 for 144184 special-q, max bucket fill -bkmult 1.0,1s:1.352850
Info:Lattice Sieving: Total time: 24157.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.37/40.2628
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.37/25.2347
Info:Filtering - Merging: Merged matrix has 240320 rows and total weight 41036013 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.88/39.5908
Info:Filtering - Merging: Total cpu/real time for replay: 8.43/9.11212
Info:Generate Factor Base: Total cpu/real time for makefb: 0.94/1.2148
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23528.8/13542.4
Info:root: Cleaning up computation data in /tmp/cado.i5mpbnvr
206876749659120100448489106630531646171590192761126432886811440400880641 24107598447521649008172619159211542631109484532323586918147
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10146+269

c145

name 名前Bob Backstrom
date 日付May 29, 2022 17:24:09 UTC 2022 年 5 月 30 日 (月) 2 時 24 分 9 秒 (日本時間)
composite number 合成数
1486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867<145>
prime factors 素因数
5634873775522441254292186575569518571524442909856457845004393661717<67>
263838734423712049961853654397865896772902199202263787825828934140642226766951<78>
factorization results 素因数分解の結果
Number: n
N=1486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:

Mon May 30 03:20:52 2022  p67 factor: 5634873775522441254292186575569518571524442909856457845004393661717
Mon May 30 03:20:52 2022  p78 factor: 263838734423712049961853654397865896772902199202263787825828934140642226766951
Mon May 30 03:20:52 2022  elapsed time 00:03:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 19x10^146+26 = 21(145)4
#
n: 1486697965571205007824726134585289514866979655712050078247261345852895148669796557120500782472613458528951486697965571205007824726134585289514867
m: 100000000000000000000000000000
deg: 5
c5: 95
c0: 13
skew: 0.67
# Murphy_E = 1.878e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6585000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 908092 hash collisions in 7840665 relations (7236896 unique)
Msieve: matrix is 272311 x 272536 (91.6 MB)

Sieving start time : 2022/05/30 03:14:09
Sieving end time  : 2022/05/30 03:15:22

Total sieving time: 0hrs 1min 13secs.

Total relation processing time: 0hrs 1min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 23sec.

Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

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

19×10148+269

c146

name 名前Bob Backstrom
date 日付May 31, 2022 07:38:45 UTC 2022 年 5 月 31 日 (火) 16 時 38 分 45 秒 (日本時間)
composite number 合成数
68990559186637618010167029774872912127814088598402323892519970951343500363108206245461147421931735657225853304284676833696441539578794480755265069<146>
prime factors 素因数
2315264919507152445272315147696084704541079768563329<52>
29798127464965673244312460152755366050433450106550689691283716554621679783538971775559661638061<95>
factorization results 素因数分解の結果
Number: n
N=68990559186637618010167029774872912127814088598402323892519970951343500363108206245461147421931735657225853304284676833696441539578794480755265069  ( 146 digits)
SNFS difficulty: 149 digits.
Divisors found:

Tue May 31 17:34:23 2022  p52 factor: 2315264919507152445272315147696084704541079768563329
Tue May 31 17:34:23 2022  p95 factor: 29798127464965673244312460152755366050433450106550689691283716554621679783538971775559661638061
Tue May 31 17:34:23 2022  elapsed time 00:03:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 19x10^148+26 = 21(147)4
#
n: 68990559186637618010167029774872912127814088598402323892519970951343500363108206245461147421931735657225853304284676833696441539578794480755265069
m: 10000000000000000000000000000000000000
deg: 4
c4: 19
c0: 26
skew: 1.08
# Murphy_E = 1.986e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 735199 hash collisions in 8021777 relations (8129075 unique)
Msieve: matrix is 288793 x 289018 (96.8 MB)

Sieving start time : 2022/05/31 17:02:33
Sieving end time  : 2022/05/31 17:30:51

Total sieving time: 0hrs 28min 18secs.

Total relation processing time: 0hrs 1min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

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

19×10150+269

c142

name 名前Bob Backstrom
date 日付May 31, 2022 12:13:57 UTC 2022 年 5 月 31 日 (火) 21 時 13 分 57 秒 (日本時間)
composite number 合成数
6104260142527496194843578401315871327416301772790042074936692991147169502667054386138986841541819655570000098458503330472446519566475624592733<142>
prime factors 素因数
54858241894439496771216877437346234629007<41>
278332150216072155027040348872261295189730911<45>
399786176763258262978632564148064504967631955696970508429<57>
factorization results 素因数分解の結果
Number: n
N=6104260142527496194843578401315871327416301772790042074936692991147169502667054386138986841541819655570000098458503330472446519566475624592733  ( 142 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue May 31 22:04:51 2022  found factor: 399786176763258262978632564148064504967631955696970508429
Tue May 31 22:05:04 2022  found factor: 399786176763258262978632564148064504967631955696970508429
Tue May 31 22:05:16 2022  p41 factor: 54858241894439496771216877437346234629007
Tue May 31 22:05:16 2022  p45 factor: 278332150216072155027040348872261295189730911
Tue May 31 22:05:16 2022  p57 factor: 399786176763258262978632564148064504967631955696970508429
Tue May 31 22:05:16 2022  elapsed time 00:05:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 19x10^150+26 = 21(149)4
#
n: 6104260142527496194843578401315871327416301772790042074936692991147169502667054386138986841541819655570000098458503330472446519566475624592733
m: 1000000000000000000000000000000
deg: 5
c5: 19
c0: 26
skew: 1.06
# Murphy_E = 1.344e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1296022 hash collisions in 13959289 relations (13558605 unique)
Msieve: matrix is 412417 x 412665 (62.0 MB)

Sieving start time : 2022/05/31 21:32:38
Sieving end time  : 2022/05/31 21:55:41

Total sieving time: 0hrs 23min 3secs.

Total relation processing time: 0hrs 1min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

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

19×10151+269

c128

name 名前Eric Jeancolas
date 日付June 4, 2022 02:57:19 UTC 2022 年 6 月 4 日 (土) 11 時 57 分 19 秒 (日本時間)
composite number 合成数
48049126156919843114807581194817784308130365562516265129255343539092525700879327024732124579007278083120220081362614295297878689<128>
prime factors 素因数
9565260717331991354961970005358526045322916515994116017<55>
5023294981375273747027876248244485474306756774802716286756073289184159217<73>
factorization results 素因数分解の結果
48049126156919843114807581194817784308130365562516265129255343539092525700879327024732124579007278083120220081362614295297878689= 9565260717331991354961970005358526045322916515994116017*5023294981375273747027876248244485474306756774802716286756073289184159217

cado polynomial
n: 48049126156919843114807581194817784308130365562516265129255343539092525700879327024732124579007278083120220081362614295297878689
skew: 0.67
type: snfs
c0: 13
c5: 95
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 95*x^5+13
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5023294981375273747027876248244485474306756774802716286756073289184159217 9565260717331991354961970005358526045322916515994116017
Info:Square Root: Total cpu/real time for sqrt: 39.94/30.7032
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.04/147.111
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11671347
Info:Lattice Sieving: Average J: 1894.49 for 196836 special-q, max bucket fill -bkmult 1.0,1s:1.255830
Info:Lattice Sieving: Total time: 46160.2s
Info:Linear Algebra: Total cpu/real time for bwc: 865.5/737.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 473.29, WCT time 443.27, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 110.92, WCT time 60.08
Info:Linear Algebra: Mksol: CPU time 259.56,  WCT time 215.32, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.65/41.0037
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.71/79.3875
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.2s
Info:Filtering - Merging: Merged matrix has 236661 rows and total weight 40313871 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.13/38.7468
Info:Filtering - Merging: Total cpu/real time for replay: 7.81/8.62429
Info:Generate Factor Base: Total cpu/real time for makefb: 1.06/1.3381
Info:Quadratic Characters: Total cpu/real time for characters: 7.45/5.62376
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.47/151.626
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 142.0s
Info:Square Root: Total cpu/real time for sqrt: 39.94/30.7032
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44607.5/24548.7
Info:root: Cleaning up computation data in /tmp/cado.cp7jycw_
5023294981375273747027876248244485474306756774802716286756073289184159217 9565260717331991354961970005358526045322916515994116017
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10152+269

c140

name 名前Bob Backstrom
date 日付June 1, 2022 17:45:47 UTC 2022 年 6 月 2 日 (木) 2 時 45 分 47 秒 (日本時間)
composite number 合成数
18457817490163095731423239387282264733531919207367523240202081057163025112915958888761516534425061387605582203126914329803571927303630268569<140>
prime factors 素因数
331139318185020601234476085519805557<36>
55740337907714072476060130447729063930953451627165215678195012196033795892122054088446286115656070551317<104>
factorization results 素因数分解の結果
Number: n
N=18457817490163095731423239387282264733531919207367523240202081057163025112915958888761516534425061387605582203126914329803571927303630268569  ( 140 digits)
SNFS difficulty: 153 digits.
Divisors found:

Thu Jun  2 03:42:10 2022  p36 factor: 331139318185020601234476085519805557
Thu Jun  2 03:42:10 2022  p104 factor: 55740337907714072476060130447729063930953451627165215678195012196033795892122054088446286115656070551317
Thu Jun  2 03:42:10 2022  elapsed time 00:04:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 19x10^152+26 = 21(151)4
#
n: 18457817490163095731423239387282264733531919207367523240202081057163025112915958888761516534425061387605582203126914329803571927303630268569
m: 100000000000000000000000000000000000000
deg: 4
c4: 19
c0: 26
skew: 1.08
# Murphy_E = 1.238e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1285272 hash collisions in 13180345 relations (13241947 unique)
Msieve: matrix is 333278 x 333508 (113.0 MB)

Sieving start time : 2022/06/02 03:18:52
Sieving end time  : 2022/06/02 03:36:59

Total sieving time: 0hrs 18min 7secs.

Total relation processing time: 0hrs 1min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

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

ECM

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

19×10156+269

c122

name 名前Eric Jeancolas
date 日付June 4, 2022 08:37:42 UTC 2022 年 6 月 4 日 (土) 17 時 37 分 42 秒 (日本時間)
composite number 合成数
89721623143414797620909557484279732634688617347812911728556190063713986170618890186091472330407588038357343041552158531317<122>
prime factors 素因数
2704463833093824923366046450482265889<37>
33175382878304558885448176274542943891416428599395975385487632350860238479665135552853<86>
factorization results 素因数分解の結果
89721623143414797620909557484279732634688617347812911728556190063713986170618890186091472330407588038357343041552158531317=2704463833093824923366046450482265889*33175382878304558885448176274542943891416428599395975385487632350860238479665135552853

cado polynomial
n: 89721623143414797620909557484279732634688617347812911728556190063713986170618890186091472330407588038357343041552158531317
skew: 0.67
type: snfs
c0: 13
c5: 95
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 95*x^5+13
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 33175382878304558885448176274542943891416428599395975385487632350860238479665135552853 2704463833093824923366046450482265889
Info:Square Root: Total cpu/real time for sqrt: 58.89/46.8705
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.56/129.908
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11667612
Info:Lattice Sieving: Average J: 1894.35 for 228709 special-q, max bucket fill -bkmult 1.0,1s:1.217650
Info:Lattice Sieving: Total time: 58130.6s
Info:Linear Algebra: Total cpu/real time for bwc: 1786.75/1667.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 913.23, WCT time 852.83, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 343.03, WCT time 307.76
Info:Linear Algebra: Mksol: CPU time 500.2,  WCT time 479.14, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.39/79.154
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.3/156.378
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.0s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.83/41.8029
Info:Filtering - Merging: Merged matrix has 318567 rows and total weight 54184123 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.52/54.3445
Info:Filtering - Merging: Total cpu/real time for replay: 10.9/11.9249
Info:Generate Factor Base: Total cpu/real time for makefb: 1.25/1.6569
Info:Quadratic Characters: Total cpu/real time for characters: 10.12/8.36142
Info:Square Root: Total cpu/real time for sqrt: 58.89/46.8705
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 52455.4/31583.5
Info:root: Cleaning up computation data in /tmp/cado.kyd8jhix
33175382878304558885448176274542943891416428599395975385487632350860238479665135552853 2704463833093824923366046450482265889
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10158+269

c125

name 名前Eric Jeancolas
date 日付June 4, 2022 21:02:37 UTC 2022 年 6 月 5 日 (日) 6 時 2 分 37 秒 (日本時間)
composite number 合成数
58819745222359685378594944587325592499923900465029895263683372855621737773072867847333473011662141317339144440490281404641327<125>
prime factors 素因数
15267005498015809768236905175625509501829574620780930345657<59>
3852736231083708391529105062461032375460317762350527489979007606311<67>
factorization results 素因数分解の結果
58819745222359685378594944587325592499923900465029895263683372855621737773072867847333473011662141317339144440490281404641327=15267005498015809768236905175625509501829574620780930345657*3852736231083708391529105062461032375460317762350527489979007606311

cado polynomial
n: 58819745222359685378594944587325592499923900465029895263683372855621737773072867847333473011662141317339144440490281404641327
skew: 0.27
type: snfs
c0: 13
c5: 9500
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 9500*x^5+13
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15267005498015809768236905175625509501829574620780930345657 3852736231083708391529105062461032375460317762350527489979007606311
Info:Square Root: Total cpu/real time for sqrt: 138.55/42.6524
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.55/120.053
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.5s
Info:Square Root: Total cpu/real time for sqrt: 138.55/42.6524
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.79/96.2535
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11636714
Info:Lattice Sieving: Average J: 1894.12 for 311803 special-q, max bucket fill -bkmult 1.0,1s:1.230540
Info:Lattice Sieving: Total time: 75162.5s
Info:Linear Algebra: Total cpu/real time for bwc: 2042.11/1031.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1254.94, WCT time 656.11, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11648 iterations)
Info:Linear Algebra: Lingen CPU time 70.02, WCT time 29.64
Info:Linear Algebra: Mksol: CPU time 679.41,  WCT time 321.78, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.45/58.2589
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.76/59.5934
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.5s
Info:Filtering - Merging: Merged matrix has 370187 rows and total weight 63026324 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 82.94/35.774
Info:Filtering - Merging: Total cpu/real time for replay: 14.29/14.1292
Info:Generate Factor Base: Total cpu/real time for makefb: 1.39/2.05852
Info:Quadratic Characters: Total cpu/real time for characters: 11.4/4.50588
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 68331.7/39393.1
Info:root: Cleaning up computation data in /tmp/cado.fm87uc9p
15267005498015809768236905175625509501829574620780930345657 3852736231083708391529105062461032375460317762350527489979007606311
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10159+269

c120

name 名前Eric Jeancolas
date 日付June 6, 2022 03:44:18 UTC 2022 年 6 月 6 日 (月) 12 時 44 分 18 秒 (日本時間)
composite number 合成数
211026660911395155804885608608371766705847099391909163558846658208885950642263762289518274062281410680766623971356596921<120>
prime factors 素因数
10055724878051081833781217347337879476921<41>
20985723403392736156182543686480486335595633510082760453284984613831869214720001<80>
factorization results 素因数分解の結果
211026660911395155804885608608371766705847099391909163558846658208885950642263762289518274062281410680766623971356596921=10055724878051081833781217347337879476921*20985723403392736156182543686480486335595633510082760453284984613831869214720001

cado polynomial
n: 211026660911395155804885608608371766705847099391909163558846658208885950642263762289518274062281410680766623971356596921
skew: 0.84
type: snfs
c0: 65
c5: 152
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 152*x^5+65
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3300000
tasks.lim1 = 3300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 20985723403392736156182543686480486335595633510082760453284984613831869214720001 10055724878051081833781217347337879476921
Info:Square Root: Total cpu/real time for sqrt: 84.64/65.329
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.99/106.747
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11661619
Info:Lattice Sieving: Average J: 1893.58 for 268972 special-q, max bucket fill -bkmult 1.0,1s:1.231040
Info:Lattice Sieving: Total time: 62278.1s
Info:Linear Algebra: Total cpu/real time for bwc: 3157.82/2596.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1652.41, WCT time 1335.02, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (13440 iterations)
Info:Linear Algebra: Lingen CPU time 564.33, WCT time 484.84
Info:Linear Algebra: Mksol: CPU time 900.62,  WCT time 742.74, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.77/77.9086
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.88/40.9197
Info:Filtering - Merging: Merged matrix has 425881 rows and total weight 72678653 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 93.09/68.732
Info:Filtering - Merging: Total cpu/real time for replay: 15.53/16.7777
Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/1.94153
Info:Quadratic Characters: Total cpu/real time for characters: 14.17/11.6353
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.73/159.849
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.2s
Info:Square Root: Total cpu/real time for sqrt: 84.64/65.329
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 62256.2/34566.6
Info:root: Cleaning up computation data in /tmp/cado.f6hm769m
20985723403392736156182543686480486335595633510082760453284984613831869214720001 10055724878051081833781217347337879476921
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10160+269

c125

name 名前Eric Jeancolas
date 日付June 6, 2022 03:37:14 UTC 2022 年 6 月 6 日 (月) 12 時 37 分 14 秒 (日本時間)
composite number 合成数
71255964923129296402583561960351433477516958941132818305543313803864870562383393666381467626029662904148954715109177729936679<125>
prime factors 素因数
115677143420455712154895400787646456968570757718303999897642423<63>
615990011649343529985491723218787356317280382259923071757382673<63>
factorization results 素因数分解の結果
71255964923129296402583561960351433477516958941132818305543313803864870562383393666381467626029662904148954715109177729936679=115677143420455712154895400787646456968570757718303999897642423*615990011649343529985491723218787356317280382259923071757382673

cado polynomial
n: 71255964923129296402583561960351433477516958941132818305543313803864870562383393666381467626029662904148954715109177729936679
skew: 1.06
type: snfs
c0: 26
c5: 19
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 19*x^5+26
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 615990011649343529985491723218787356317280382259923071757382673 115677143420455712154895400787646456968570757718303999897642423
Info:Square Root: Total cpu/real time for sqrt: 140.04/63.8075
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.53/113.003
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11652156
Info:Lattice Sieving: Average J: 1894.75 for 233266 special-q, max bucket fill -bkmult 1.0,1s:1.233870
Info:Lattice Sieving: Total time: 56969.4s
Info:Linear Algebra: Total cpu/real time for bwc: 2666.34/2346.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1368.07, WCT time 1255.81, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 500.87, WCT time 449.39
Info:Linear Algebra: Mksol: CPU time 760.48,  WCT time 608.39, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.44/78.1051
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.62/155.564
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.0s
Info:Filtering - Merging: Merged matrix has 401616 rows and total weight 68461737 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 87.99/67.1914
Info:Filtering - Merging: Total cpu/real time for replay: 14.36/15.77
Info:Generate Factor Base: Total cpu/real time for makefb: 1.47/0.801481
Info:Quadratic Characters: Total cpu/real time for characters: 13.42/7.73125
Info:Square Root: Total cpu/real time for sqrt: 140.04/63.8075
Info:Generate Free Relations: Total cpu/real time for freerel: 59.74/17.0699
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56137.5/31599.2
Info:root: Cleaning up computation data in /tmp/cado.90u_3f1b
615990011649343529985491723218787356317280382259923071757382673 115677143420455712154895400787646456968570757718303999897642423
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10161+269

c145

name 名前Bob Backstrom
date 日付June 1, 2022 11:48:35 UTC 2022 年 6 月 1 日 (水) 20 時 48 分 35 秒 (日本時間)
composite number 合成数
1300437535732565674267074581412936159450722134414627513729368664582847172833260671124638549816697596458336104971275624250842387945999173445792453<145>
prime factors 素因数
446394036696223547127334852657143635734700242742477010032262735431<66>
2913205439206010023557798683790401945441866509360303647965165538316112715401363<79>
factorization results 素因数分解の結果
Number: n
N=1300437535732565674267074581412936159450722134414627513729368664582847172833260671124638549816697596458336104971275624250842387945999173445792453  ( 145 digits)
SNFS difficulty: 161 digits.
Divisors found:

Wed Jun  1 21:43:24 2022  p66 factor: 446394036696223547127334852657143635734700242742477010032262735431
Wed Jun  1 21:43:24 2022  p79 factor: 2913205439206010023557798683790401945441866509360303647965165538316112715401363
Wed Jun  1 21:43:24 2022  elapsed time 00:07:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 19x10^161+26 = 21(160)4
#
n: 1300437535732565674267074581412936159450722134414627513729368664582847172833260671124638549816697596458336104971275624250842387945999173445792453
m: 100000000000000000000000000000000
deg: 5
c5: 95
c0: 13
skew: 0.67
# Murphy_E = 5.009e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1062731 hash collisions in 12319793 relations (12050703 unique)
Msieve: matrix is 504226 x 504452 (174.7 MB)

Sieving start time : 2022/06/01 20:54:10
Sieving end time  : 2022/06/01 21:35:43

Total sieving time: 0hrs 41min 33secs.

Total relation processing time: 0hrs 4min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

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

19×10163+269

c133

name 名前Bob Backstrom
date 日付June 2, 2022 13:50:00 UTC 2022 年 6 月 2 日 (木) 22 時 50 分 0 秒 (日本時間)
composite number 合成数
4901268069245771660891140137817763170064045302154716636396086459648971229118308128423263302702661453523035171120457523760258320430513<133>
prime factors 素因数
56031698510733303570016934673090171141819816112579495381<56>
87473130380063277901565846186579978031971678369460249470049159242411817521773<77>
factorization results 素因数分解の結果
Number: n
N=4901268069245771660891140137817763170064045302154716636396086459648971229118308128423263302702661453523035171120457523760258320430513  ( 133 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Jun  2 23:48:00 2022  p56 factor: 56031698510733303570016934673090171141819816112579495381
Thu Jun  2 23:48:00 2022  p77 factor: 87473130380063277901565846186579978031971678369460249470049159242411817521773
Thu Jun  2 23:48:00 2022  elapsed time 00:09:26 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 19x10^163+26 = 21(162)4
#
n: 4901268069245771660891140137817763170064045302154716636396086459648971229118308128423263302702661453523035171120457523760258320430513
m: 100000000000000000000000000000000
deg: 5
c5: 9500
c0: 13
skew: 0.27
# Murphy_E = 3.227e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1264716 hash collisions in 12273954 relations (11747813 unique)
Msieve: matrix is 552471 x 552696 (189.9 MB)

Sieving start time : 2022/06/02 23:01:06
Sieving end time  : 2022/06/02 23:38:17

Total sieving time: 0hrs 37min 11secs.

Total relation processing time: 0hrs 4min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 59sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

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

19×10165+269

c113

name 名前Markus Tervooren
date 日付May 30, 2022 18:38:13 UTC 2022 年 5 月 31 日 (火) 3 時 38 分 13 秒 (日本時間)
composite number 合成数
41602789799102012544836944789244106390401793181524192953449852043942838095540304327205545908246262423996966526529<113>
prime factors 素因数
10933636578707229600251868650221930982192477<44>
3805027677627551042737897349846216950885292581472096538036783840295477<70>
factorization results 素因数分解の結果
Using B1=1012225, B2=1012225-1045563762, polynomial Dickson(6), sigma=1:547694337
Step 1 took 2068ms
Step 2 took 1487ms
********** Factor found in step 2: 10933636578707229600251868650221930982192477
Found prime factor of 44 digits: 10933636578707229600251868650221930982192477
Prime cofactor 3805027677627551042737897349846216950885292581472096538036783840295477 has 70 digits
software ソフトウェア
GMP-ECM

ECM

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

19×10166+269

c141

name 名前Florian Baur
date 日付June 7, 2022 12:11:04 UTC 2022 年 6 月 7 日 (火) 21 時 11 分 4 秒 (日本時間)
composite number 合成数
194056697993618553846083975167555346863159971843579909655311266449724338884540172160213461751329401889618552571447381297792885339472148675303<141>
prime factors 素因数
9431303103866387895149874550003357984939<40>
20575809711180260153644026234841013536207954902012352771073363298789867537967572913648838061925265077<101>
factorization results 素因数分解の結果
06/07/22 14:06:15, prp40 = 9431303103866387895149874550003357984939 (curve 807 stg2 B1=3000000 sigma=2359177824 thread=6)
software ソフトウェア
GMP-ECM (via yafu 2.0)
execution environment 実行環境
AMD Epyc 4701P, Ubuntu 22.4

ECM

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

19×10169+269

c113

name 名前Eric Jeancolas
date 日付May 30, 2022 16:31:31 UTC 2022 年 5 月 31 日 (火) 1 時 31 分 31 秒 (日本時間)
composite number 合成数
14496212375288466042961328106214305865857134953251712923655396324661593338481869150859885285291176954991589744287<113>
prime factors 素因数
2114180857773883164534694806323631670092591977<46>
6856656715051419485153946996536479873872257312223844936932530809031<67>
factorization results 素因数分解の結果
14496212375288466042961328106214305865857134953251712923655396324661593338481869150859885285291176954991589744287=2114180857773883164534694806323631670092591977*6856656715051419485153946996536479873872257312223844936932530809031

cado polynomial
n: 14496212375288466042961328106214305865857134953251712923655396324661593338481869150859885285291176954991589744287
skew: 27211.284
c0: 375815768548872960011785904
c1: -9654470262049393662646
c2: -2732740519216190611
c3: 40469881796199
c4: 1532587170
c5: 19800
Y0: -5916548333631078641311
Y1: 748725768001313
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.334e-06
# f(x) = 19800*x^5+1532587170*x^4+40469881796199*x^3-2732740519216190611*x^2-9654470262049393662646*x+375815768548872960011785904
# g(x) = 748725768001313*x-5916548333631078641311

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2114180857773883164534694806323631670092591977 6856656715051419485153946996536479873872257312223844936932530809031
Info:Square Root: Total cpu/real time for sqrt: 119.26/52.2476
Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/44.3999
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.15/112.391
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6456724
Info:Lattice Sieving: Average J: 1903.75 for 89685 special-q, max bucket fill -bkmult 1.0,1s:1.263240
Info:Lattice Sieving: Total time: 21867.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/3.87719
Info:Linear Algebra: Total cpu/real time for bwc: 2106.78/1314.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1280.67, WCT time 859.18, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12288 iterations)
Info:Linear Algebra: Lingen CPU time 80.75, WCT time 34.0
Info:Linear Algebra: Mksol: CPU time 711.03,  WCT time 390.19, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6144 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.7/46.6757
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 267.22
Info:Polynomial Selection (root optimized): Rootsieve time: 266.09
Info:Filtering - Merging: Merged matrix has 392176 rows and total weight 60816072 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.06/48.2531
Info:Filtering - Merging: Total cpu/real time for replay: 14.58/16.116
Info:Quadratic Characters: Total cpu/real time for characters: 14.71/8.28145
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 23130/32.150/39.880/45.200/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 18129/31.300/35.352/40.390/0.784
Info:Polynomial Selection (size optimized): Total time: 1870.93
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.32/155.282
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.5s
Info:Square Root: Total cpu/real time for sqrt: 119.26/52.2476
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24507.1/13754.8
Info:root: Cleaning up computation data in /tmp/cado.w7m39p5i
2114180857773883164534694806323631670092591977 6856656715051419485153946996536479873872257312223844936932530809031
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10170+269

c160

name 名前Bob Backstrom
date 日付June 4, 2022 10:53:17 UTC 2022 年 6 月 4 日 (土) 19 時 53 分 17 秒 (日本時間)
composite number 合成数
1952332795623801481031626246568461204835080947521683158981650582168335718432557233462146364002058890486642105353097010135799974193093873255948014692453171211629<160>
prime factors 素因数
6668985609266987188266618505247159292650353589056504049<55>
292748089441205074245541733698399558626714286087892269266030671980959272462681994753721033193028496143421<105>
factorization results 素因数分解の結果
Number: n
N=1952332795623801481031626246568461204835080947521683158981650582168335718432557233462146364002058890486642105353097010135799974193093873255948014692453171211629  ( 160 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat Jun  4 20:42:51 2022  p55 factor: 6668985609266987188266618505247159292650353589056504049
Sat Jun  4 20:42:51 2022  p105 factor: 292748089441205074245541733698399558626714286087892269266030671980959272462681994753721033193028496143421
Sat Jun  4 20:42:51 2022  elapsed time 00:11:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 19x10^170+26 = 21(169)4
#
n: 1952332795623801481031626246568461204835080947521683158981650582168335718432557233462146364002058890486642105353097010135799974193093873255948014692453171211629
m: 10000000000000000000000000000000000
deg: 5
c5: 19
c0: 26
skew: 1.06
# Murphy_E = 2.244e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1326712 hash collisions in 12583966 relations (12012171 unique)
Msieve: matrix is 702744 x 702969 (245.2 MB)

Sieving start time : 2022/06/04 19:55:31
Sieving end time  : 2022/06/04 20:30:37

Total sieving time: 0hrs 35min 6secs.

Total relation processing time: 0hrs 7min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

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

19×10172+269

c166

name 名前Bob Backstrom
date 日付June 3, 2022 10:50:29 UTC 2022 年 6 月 3 日 (金) 19 時 50 分 29 秒 (日本時間)
composite number 合成数
5484667669263916608110622629288483300601414016605148902087885968332221677796789367919763122399365441270669330945020363416389099182593997244849363025130227660472283001<166>
prime factors 素因数
1913721032639483370242814103205965232440060842194852404500173987<64>
2865970314230823718381143082048388722507500876329651795887253926427350537020820075101995700690182639923<103>
factorization results 素因数分解の結果
Number: n
N=5484667669263916608110622629288483300601414016605148902087885968332221677796789367919763122399365441270669330945020363416389099182593997244849363025130227660472283001  ( 166 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jun  3 20:46:42 2022  p64 factor: 1913721032639483370242814103205965232440060842194852404500173987
Fri Jun  3 20:46:42 2022  p103 factor: 2865970314230823718381143082048388722507500876329651795887253926427350537020820075101995700690182639923
Fri Jun  3 20:46:42 2022  elapsed time 00:17:37 (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 = 19x10^172+26 = 21(171)4
#
n: 5484667669263916608110622629288483300601414016605148902087885968332221677796789367919763122399365441270669330945020363416389099182593997244849363025130227660472283001
m: 10000000000000000000000000000000000
deg: 5
c5: 950
c0: 13
skew: 0.42
# Murphy_E = 1.464e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1470599 hash collisions in 11844827 relations (11023528 unique)
Msieve: matrix is 928815 x 929040 (322.3 MB)

Sieving start time : 2022/06/03 19:32:59
Sieving end time  : 2022/06/03 20:28:48

Total sieving time: 0hrs 55min 49secs.

Total relation processing time: 0hrs 13min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

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

19×10173+269

c156

name 名前Bob Backstrom
date 日付June 5, 2022 12:29:03 UTC 2022 年 6 月 5 日 (日) 21 時 29 分 3 秒 (日本時間)
composite number 合成数
275362454215341850090338301756843137855406817338938631545965260596509701011088966340099461268229304287902079244150352735823632211183699054315194645619777473<156>
prime factors 素因数
448074596549348886446163336169119292052413<42>
377176790603071549806015391961650846914044368598922941<54>
1629331450030948322499361258460631185726950503254472870639481<61>
factorization results 素因数分解の結果
Number: n
N=275362454215341850090338301756843137855406817338938631545965260596509701011088966340099461268229304287902079244150352735823632211183699054315194645619777473  ( 156 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sun Jun  5 22:09:48 2022  found factor: 1629331450030948322499361258460631185726950503254472870639481
Sun Jun  5 22:10:56 2022  found factor: 1629331450030948322499361258460631185726950503254472870639481
Sun Jun  5 22:13:14 2022  found factor: 1629331450030948322499361258460631185726950503254472870639481
Sun Jun  5 22:16:39 2022  p42 factor: 448074596549348886446163336169119292052413
Sun Jun  5 22:16:39 2022  p54 factor: 377176790603071549806015391961650846914044368598922941
Sun Jun  5 22:16:39 2022  p61 factor: 1629331450030948322499361258460631185726950503254472870639481
Sun Jun  5 22:16:39 2022  elapsed time 00:23:41 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 19x10^173+26 = 21(172)4
#
n: 275362454215341850090338301756843137855406817338938631545965260596509701011088966340099461268229304287902079244150352735823632211183699054315194645619777473
m: 10000000000000000000000000000000000
deg: 5
c5: 9500
c0: 13
skew: 0.27
# Murphy_E = 1.302e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1624860 hash collisions in 12696096 relations (11758787 unique)
Msieve: matrix is 883162 x 883389 (306.1 MB)

Sieving start time : 2022/06/05 20:50:45
Sieving end time  : 2022/06/05 21:52:43

Total sieving time: 1hrs 1min 58secs.

Total relation processing time: 0hrs 12min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 0sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

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

19×10174+269

c129

name 名前Eric Jeancolas
date 日付June 10, 2022 08:27:04 UTC 2022 年 6 月 10 日 (金) 17 時 27 分 4 秒 (日本時間)
composite number 合成数
292708269009907591808535900339276084774183800265848565962416442761569167880975149375133126978713984147720607605310874445815118351<129>
prime factors 素因数
11168259015791007396673180499878879037178279833<47>
26208943452694101371400342685743376967167039273588534490412548294226320385767401447<83>
factorization results 素因数分解の結果
292708269009907591808535900339276084774183800265848565962416442761569167880975149375133126978713984147720607605310874445815118351=11168259015791007396673180499878879037178279833*26208943452694101371400342685743376967167039273588534490412548294226320385767401447

cado polynomial
n: 292708269009907591808535900339276084774183800265848565962416442761569167880975149375133126978713984147720607605310874445815118351
skew: 0.84
type: snfs
c0: 65
c5: 152
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 152*x^5+65
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5900000
tasks.lim1 = 5900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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:Filtering - Merging: Merged matrix has 824313 rows and total weight 140667746 (170.6 entries per row on average)
Info:Square Root: Factors: 11168259015791007396673180499878879037178279833 26208943452694101371400342685743376967167039273588534490412548294226320385767401447
Info:Square Root: Total cpu/real time for sqrt: 181.44/57.1653
Info:Filtering - Singleton removal: Total cpu/real time for purge: 143.66/135.708
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412437
Info:Lattice Sieving: Average J: 1893.87 for 967705 special-q, max bucket fill -bkmult 1.0,1s:1.168290
Info:Lattice Sieving: Total time: 148767s
Info:Linear Algebra: Total cpu/real time for bwc: 10496/2702.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6607.47, WCT time 1693.23, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 143.77, WCT time 36.55
Info:Linear Algebra: Mksol: CPU time 3614.78,  WCT time 924.9, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.9/100.465
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.97/179.398
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.5s
Info:Filtering - Merging: Total cpu/real time for merge: 198.42/54.937
Info:Filtering - Merging: Total cpu/real time for replay: 27.7/23.2904
Info:Generate Factor Base: Total cpu/real time for makefb: 2.52/1.37158
Info:Quadratic Characters: Total cpu/real time for characters: 26.48/10.5144
Info:Square Root: Total cpu/real time for sqrt: 181.44/57.1653
Info:Generate Free Relations: Total cpu/real time for freerel: 118.35/32.072
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 287472/78033
Info:root: Cleaning up computation data in /tmp/cado.ypm4y7tw
11168259015791007396673180499878879037178279833 26208943452694101371400342685743376967167039273588534490412548294226320385767401447
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10176+269

c103

name 名前Eric Jeancolas
date 日付May 30, 2022 08:57:25 UTC 2022 年 5 月 30 日 (月) 17 時 57 分 25 秒 (日本時間)
composite number 合成数
7210097708491676685740109885399642201076023964418942858883776623380596113835553149753944164038282950363<103>
prime factors 素因数
14300838623640566685309797210067217398373<41>
504173069722830073057407952703655450661624298906219202439149631<63>
factorization results 素因数分解の結果
7210097708491676685740109885399642201076023964418942858883776623380596113835553149753944164038282950363=14300838623640566685309797210067217398373*504173069722830073057407952703655450661624298906219202439149631

cado polynomial
n: 7210097708491676685740109885399642201076023964418942858883776623380596113835553149753944164038282950363
skew: 3965.355
c0: -12223574692990594222534
c1: 13109112611693883473
c2: -2242316651219404
c3: 1896268082463
c4: 267802690
c5: 21120
Y0: -57919223232533806620
Y1: 211621293361681
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.987e-06
# f(x) = 21120*x^5+267802690*x^4+1896268082463*x^3-2242316651219404*x^2+13109112611693883473*x-12223574692990594222534
# g(x) = 211621293361681*x-57919223232533806620

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 504173069722830073057407952703655450661624298906219202439149631 14300838623640566685309797210067217398373
Info:Square Root: Total cpu/real time for sqrt: 47.19/36.3001
Info:Quadratic Characters: Total cpu/real time for characters: 6.76/5.60398
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.77/65.7074
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 56.599999999999994s
Info:Square Root: Total cpu/real time for sqrt: 47.19/36.3001
Info:Linear Algebra: Total cpu/real time for bwc: 551.34/543.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 242.68, WCT time 247.98, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations)
Info:Linear Algebra: Lingen CPU time 159.32, WCT time 140.22
Info:Linear Algebra: Mksol: CPU time 135.13,  WCT time 141.57, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2944 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.9/28.3597
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4595390
Info:Lattice Sieving: Average J: 1893.34 for 33688 special-q, max bucket fill -bkmult 1.0,1s:1.288670
Info:Lattice Sieving: Total time: 5333.09s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.738987
Info:Generate Free Relations: Total cpu/real time for freerel: 62.9/23.2134
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.65/29.7103
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 135.52
Info:Polynomial Selection (root optimized): Rootsieve time: 134.87
Info:Filtering - Merging: Merged matrix has 183351 rows and total weight 26753239 (145.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 25.86/21.2869
Info:Filtering - Merging: Total cpu/real time for replay: 5.99/6.80284
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9447/28.920/36.276/48.020/1.063
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7094/28.920/32.231/36.800/0.862
Info:Polynomial Selection (size optimized): Total time: 521.54
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7647.78/3847.12
Info:root: Cleaning up computation data in /tmp/cado.k45tfcj2
504173069722830073057407952703655450661624298906219202439149631 14300838623640566685309797210067217398373
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10177+269

c174

name 名前Bob Backstrom
date 日付June 4, 2022 23:41:20 UTC 2022 年 6 月 5 日 (日) 8 時 41 分 20 秒 (日本時間)
composite number 合成数
348253235089262802888668939477253565013380255874482202426775175043073426445250925620440631987976098830602294805528061879101140071116976428754719747791341324828622750100810147<174>
prime factors 素因数
24168231753386009896775207672971565248134426148873<50>
14409545499350482652494241884634458377009442902121192121730544508976841973609450875982369728385989585071158512579943401041739<125>
factorization results 素因数分解の結果
Number: n
N=348253235089262802888668939477253565013380255874482202426775175043073426445250925620440631987976098830602294805528061879101140071116976428754719747791341324828622750100810147  ( 174 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jun  5 09:36:36 2022  p50 factor: 24168231753386009896775207672971565248134426148873
Sun Jun  5 09:36:36 2022  p125 factor: 14409545499350482652494241884634458377009442902121192121730544508976841973609450875982369728385989585071158512579943401041739
Sun Jun  5 09:36:36 2022  elapsed time 00:22:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 19x10^177+26 = 21(176)4
#
n: 348253235089262802888668939477253565013380255874482202426775175043073426445250925620440631987976098830602294805528061879101140071116976428754719747791341324828622750100810147
m: 100000000000000000000000000000000000
deg: 5
c5: 950
c0: 13
skew: 0.42
# Murphy_E = 9.241e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4497414 hash collisions in 29562309 relations (26465343 unique)
Msieve: matrix is 976087 x 976313 (332.0 MB)

Sieving start time : 2022/06/05 07:05:56
Sieving end time  : 2022/06/05 09:13:07

Total sieving time: 2hrs 7min 11secs.

Total relation processing time: 0hrs 15min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

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

19×10180+269

c140

name 名前Erik Branger
date 日付June 10, 2022 16:26:52 UTC 2022 年 6 月 11 日 (土) 1 時 26 分 52 秒 (日本時間)
composite number 合成数
17551556137748988050194880537354139287576737463605566685224702370190738357157126947055753767659696001910383862138908876330058854661803165803<140>
prime factors 素因数
102893172908010902114914397295941688401268160995759340741536871<63>
170580376148381807303999615555179285580585733337530311240100357402167512940893<78>
factorization results 素因数分解の結果
Number: 21114_180
N = 17551556137748988050194880537354139287576737463605566685224702370190738357157126947055753767659696001910383862138908876330058854661803165803 (140 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=102893172908010902114914397295941688401268160995759340741536871 (pp63)
r2=170580376148381807303999615555179285580585733337530311240100357402167512940893 (pp78)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.96 hours.
Factorization parameters were as follows:
n: 17551556137748988050194880537354139287576737463605566685224702370190738357157126947055753767659696001910383862138908876330058854661803165803
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 19
c0: 26
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 1000000000
maxb: 1000000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 15272948
Relations: 4277464 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.40 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 3354249 x 3354497
Matrix solve time: 7.07 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.96 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 11:34:21 UTC 2022 年 6 月 9 日 (木) 20 時 34 分 21 秒 (日本時間)

19×10182+269

c168

name 名前Ignacio Santos
date 日付June 9, 2022 10:28:30 UTC 2022 年 6 月 9 日 (木) 19 時 28 分 30 秒 (日本時間)
composite number 合成数
876269068220491209891609653184095526931739883845076113203238370628665244411570718334848228923901308718897640328015969041079469540816663667706356361297896681536004555241<168>
prime factors 素因数
5292147628804841130436226995088699355321857<43>
composite cofactor 合成数の残り
165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4006433763
Step 1 took 4875ms
********** Factor found in step 2: 5292147628804841130436226995088699355321857
Found prime factor of 43 digits: 5292147628804841130436226995088699355321857
Composite cofactor 165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313 has 126 digits
 
software ソフトウェア
GMP-ECM

c126

name 名前Florian Baur
date 日付June 10, 2022 05:45:08 UTC 2022 年 6 月 10 日 (金) 14 時 45 分 8 秒 (日本時間)
composite number 合成数
165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313<126>
prime factors 素因数
399681622050419875871188031963065661030641067<45>
414277504705121907966208082784143209448526320686899775938948147544113264253182139<81>
factorization results 素因数分解の結果
Thu Jun  9 22:31:15 2022  Msieve v. 1.54 (SVN 1044)
Thu Jun  9 22:31:15 2022  random seeds: 0e6abe84 c2c77eb3
Thu Jun  9 22:31:15 2022  factoring 165579105059543576247126530186719179125645657300648301818655026522327987660210051415316165542452323755061897034999337884302313 (126 digits)
Thu Jun  9 22:31:15 2022  searching for 15-digit factors
Thu Jun  9 22:31:15 2022  commencing number field sieve (126-digit input)
Thu Jun  9 22:31:15 2022  R0: -3407899700170092836102167
Thu Jun  9 22:31:15 2022  R1: 12997297245242267
Thu Jun  9 22:31:15 2022  A0: -211768282379056153050270282780
Thu Jun  9 22:31:15 2022  A1: -11331357917629384191633372
Thu Jun  9 22:31:15 2022  A2: -122072564727747426427
Thu Jun  9 22:31:15 2022  A3: 759961752622078
Thu Jun  9 22:31:15 2022  A4: 757422588
Thu Jun  9 22:31:15 2022  A5: 4680
Thu Jun  9 22:31:15 2022  skew 1.00, size 4.313e-12, alpha -6.067, combined = 3.383e-12 rroots = 3
Thu Jun  9 22:31:15 2022
Thu Jun  9 22:31:15 2022  commencing square root phase
Thu Jun  9 22:31:15 2022  reading relations for dependency 1
Thu Jun  9 22:31:16 2022  read 424339 cycles
Thu Jun  9 22:31:16 2022  cycles contain 1665132 unique relations
Thu Jun  9 22:31:23 2022  read 1665132 relations
Thu Jun  9 22:31:27 2022  multiplying 1665132 relations
Thu Jun  9 22:32:25 2022  multiply complete, coefficients have about 71.25 million bits
Thu Jun  9 22:32:25 2022  initial square root is modulo 130211
Thu Jun  9 22:33:39 2022  sqrtTime: 144
Thu Jun  9 22:33:39 2022  p45 factor: 399681622050419875871188031963065661030641067
Thu Jun  9 22:33:39 2022  p81 factor: 414277504705121907966208082784143209448526320686899775938948147544113264253182139
Thu Jun  9 22:33:39 2022  elapsed time 00:02:24
software ソフトウェア
CADO (poly select & sieving), msieve (post-processing)
execution environment 実行環境
Epyc 7401P, 128 GB, Ubuntu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 14:16:53 UTC 2022 年 6 月 9 日 (木) 23 時 16 分 53 秒 (日本時間)

19×10183+269

c144

name 名前Bob Backstrom
date 日付June 10, 2022 12:31:44 UTC 2022 年 6 月 10 日 (金) 21 時 31 分 44 秒 (日本時間)
composite number 合成数
345979626333848643604861014691965953187772206684302492761660808022248227771491826136917122675773184934261265105191206017826400029715728319029023<144>
prime factors 素因数
476082678666360283662324703047879651344489331182141875689604649<63>
726721726787106813408216641449251951450822863644636579532937664831162012337771527<81>
factorization results 素因数分解の結果
Number: n
N=345979626333848643604861014691965953187772206684302492761660808022248227771491826136917122675773184934261265105191206017826400029715728319029023  ( 144 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Jun 10 20:40:09 2022  p63 factor: 476082678666360283662324703047879651344489331182141875689604649
Fri Jun 10 20:40:09 2022  p81 factor: 726721726787106813408216641449251951450822863644636579532937664831162012337771527
Fri Jun 10 20:40:09 2022  elapsed time 00:27:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 19x10^183+26 = 21(182)4
#
n: 345979626333848643604861014691965953187772206684302492761660808022248227771491826136917122675773184934261265105191206017826400029715728319029023
m: 1000000000000000000000000000000000000
deg: 5
c5: 9500
c0: 13
skew: 0.27
# Murphy_E = 5.157e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3582764 hash collisions in 29293312 relations (27368663 unique)
Msieve: matrix is 1034630 x 1034856 (353.9 MB)

Sieving start time : 2022/06/10 16:13:25
Sieving end time  : 2022/06/10 20:12:31

Total sieving time: 3hrs 59min 6secs.

Total relation processing time: 0hrs 17min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

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

19×10184+269

c184

name 名前Bob Backstrom
date 日付June 10, 2022 22:42:32 UTC 2022 年 6 月 11 日 (土) 7 時 42 分 32 秒 (日本時間)
composite number 合成数
1172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173<184>
prime factors 素因数
5453992657506094977852415596700490754371730161118256112204848613<64>
215042369842341289894066835270530957410295491745755014119013445757769613881065613046277508054135964657494908495433848121<120>
factorization results 素因数分解の結果
Number: n
N=1172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173  ( 184 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sat Jun 11 08:38:45 2022  p64 factor: 5453992657506094977852415596700490754371730161118256112204848613
Sat Jun 11 08:38:45 2022  p120 factor: 215042369842341289894066835270530957410295491745755014119013445757769613881065613046277508054135964657494908495433848121
Sat Jun 11 08:38:45 2022  elapsed time 00:27:03 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 19x10^184+26 = 21(183)4
#
n: 1172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173
m: 5000000000000000000000000000000000000
deg: 5
c5: 152
c0: 65
skew: 0.84
# Murphy_E = 4.993e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3187599 hash collisions in 28553921 relations (27055341 unique)
Msieve: matrix is 1066190 x 1066416 (369.8 MB)

Sieving start time : 2022/06/11 04:41:15
Sieving end time  : 2022/06/11 08:11:13

Total sieving time: 3hrs 29min 58secs.

Total relation processing time: 0hrs 18min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 14sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 8, 2022 19:47:05 UTC 2022 年 6 月 9 日 (木) 4 時 47 分 5 秒 (日本時間)

19×10185+269

c174

name 名前Bob Backstrom
date 日付June 12, 2022 04:40:33 UTC 2022 年 6 月 12 日 (日) 13 時 40 分 33 秒 (日本時間)
composite number 合成数
240037967533685904922007131725261445862373793032015653648368724410543825964121223450981034900538608134478749822568723472391107080831712957816147296564359524712639945963036567<174>
prime factors 素因数
2885487429188028371479782492138228683163421613762903<52>
83188013611007902331114725398963636186040402697607277181401437062259774349626746604630102179336048172168769704346503959489<122>
factorization results 素因数分解の結果
Number: n
N=240037967533685904922007131725261445862373793032015653648368724410543825964121223450981034900538608134478749822568723472391107080831712957816147296564359524712639945963036567  ( 174 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun Jun 12 14:36:48 2022  p52 factor: 2885487429188028371479782492138228683163421613762903
Sun Jun 12 14:36:48 2022  p122 factor: 83188013611007902331114725398963636186040402697607277181401437062259774349626746604630102179336048172168769704346503959489
Sun Jun 12 14:36:48 2022  elapsed time 00:26:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 19x10^185+26 = 21(184)4
#
n: 240037967533685904922007131725261445862373793032015653648368724410543825964121223450981034900538608134478749822568723472391107080831712957816147296564359524712639945963036567
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 26
skew: 1.06
# Murphy_E = 5.58e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2967808 hash collisions in 28822377 relations (27634869 unique)
Msieve: matrix is 1039766 x 1039994 (358.6 MB)

Sieving start time : 2022/06/12 10:02:48
Sieving end time  : 2022/06/12 14:09:24

Total sieving time: 4hrs 6min 36secs.

Total relation processing time: 0hrs 17min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 08:36:52 UTC 2022 年 6 月 10 日 (金) 17 時 36 分 52 秒 (日本時間)

19×10188+269

c126

name 名前Ignacio Santos
date 日付June 5, 2022 09:29:59 UTC 2022 年 6 月 5 日 (日) 18 時 29 分 59 秒 (日本時間)
composite number 合成数
360745133823561312972954800711571599860639377011247823332219096853717570848279861843875480076636362612263288622361958557322903<126>
prime factors 素因数
142271101309504835236502495355824771437331<42>
2535617778334163241394280768067911374643019472849682300655468161547695631729618469613<85>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1749242446
Step 1 took 17797ms
Step 2 took 9375ms
********** Factor found in step 2: 142271101309504835236502495355824771437331
Found prime factor of 42 digits: 142271101309504835236502495355824771437331
Prime cofactor 2535617778334163241394280768067911374643019472849682300655468161547695631729618469613 has 85 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:09:14 UTC 2022 年 6 月 3 日 (金) 20 時 9 分 14 秒 (日本時間)

19×10190+269

c172

name 名前Bob Backstrom
date 日付June 22, 2022 16:40:43 UTC 2022 年 6 月 23 日 (木) 1 時 40 分 43 秒 (日本時間)
composite number 合成数
2894291429561150978169261068725806878880195830678029972087479253178839923387257596418926362269957041207124101762184106332583626478345930413409099112130102722189900568144647<172>
prime factors 素因数
190970370990527083306184274050098333663595039<45>
15155709310030715444852277376470296911259718855945558577122219596043881415066228783367230977101281352550923559282997948525941273<128>
factorization results 素因数分解の結果
Number: n
N=2894291429561150978169261068725806878880195830678029972087479253178839923387257596418926362269957041207124101762184106332583626478345930413409099112130102722189900568144647  ( 172 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Jun 23 02:36:37 2022  p45 factor: 190970370990527083306184274050098333663595039
Thu Jun 23 02:36:37 2022  p128 factor: 15155709310030715444852277376470296911259718855945558577122219596043881415066228783367230977101281352550923559282997948525941273
Thu Jun 23 02:36:37 2022  elapsed time 00:37:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 19x10^190+26 = 21(189)4
#
n: 2894291429561150978169261068725806878880195830678029972087479253178839923387257596418926362269957041207124101762184106332583626478345930413409099112130102722189900568144647
m: 100000000000000000000000000000000000000
deg: 5
c5: 19
c0: 26
skew: 1.06
# Murphy_E = 3.478e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3252308 hash collisions in 28540211 relations (26954951 unique)
Msieve: matrix is 1220958 x 1221184 (425.4 MB)

Sieving start time : 2022/06/22 21:42:40
Sieving end time  : 2022/06/23 01:59:04

Total sieving time: 4hrs 16min 24secs.

Total relation processing time: 0hrs 25min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 7sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

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

19×10192+269

c127

name 名前Ignacio Santos
date 日付June 3, 2022 11:10:09 UTC 2022 年 6 月 3 日 (金) 20 時 10 分 9 秒 (日本時間)
composite number 合成数
1802108389766839001826246332089443819464006363872705717890860516598364402493805149756003536290583641767595181855691892770413463<127>
prime factors 素因数
10473727466630324893363090453960864648801<41>
172059889424125423426682022813479506832912887032991687453166327405219271525727154339063<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1693708126
Step 1 took 4859ms
Step 2 took 2906ms
********** Factor found in step 2: 10473727466630324893363090453960864648801
Found prime factor of 41 digits: 10473727466630324893363090453960864648801
Prime cofactor 172059889424125423426682022813479506832912887032991687453166327405219271525727154339063 has 87 digits
 
software ソフトウェア
GMP-ECM

ECM

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

19×10193+269

c166

name 名前Bob Backstrom
date 日付June 30, 2022 08:52:38 UTC 2022 年 6 月 30 日 (木) 17 時 52 分 38 秒 (日本時間)
composite number 合成数
3470929670310074271350709118000365156918907196198113560823902143279772675682079867182889109393083336731936228491797850034937707259105323347586355976855243133448117221<166>
prime factors 素因数
5122934441663262150845639134782797441<37>
14460707409884533762089624245951519323347881951986941150077769827<65>
46853007843079697298463860118182356610191777837379452749489681303<65>
factorization results 素因数分解の結果
Number: n
N=3470929670310074271350709118000365156918907196198113560823902143279772675682079867182889109393083336731936228491797850034937707259105323347586355976855243133448117221  ( 166 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Jun 30 18:40:23 2022  found factor: 14460707409884533762089624245951519323347881951986941150077769827
Thu Jun 30 18:42:53 2022  found factor: 14460707409884533762089624245951519323347881951986941150077769827
Thu Jun 30 18:45:22 2022  p37 factor: 5122934441663262150845639134782797441
Thu Jun 30 18:45:22 2022  p65 factor: 14460707409884533762089624245951519323347881951986941150077769827
Thu Jun 30 18:45:22 2022  p65 factor: 46853007843079697298463860118182356610191777837379452749489681303
Thu Jun 30 18:45:22 2022  elapsed time 01:09:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 19x10^193+26 = 21(192)4
#
n: 3470929670310074271350709118000365156918907196198113560823902143279772675682079867182889109393083336731936228491797850034937707259105323347586355976855243133448117221
m: 100000000000000000000000000000000000000
deg: 5
c5: 9500
c0: 13
skew: 0.27
# Murphy_E = 2.007e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3464318 hash collisions in 27940967 relations (26015751 unique)
Msieve: matrix is 1642518 x 1642745 (572.1 MB)

Sieving start time : 2022/06/30 11:03:18
Sieving end time  : 2022/06/30 17:35:42

Total sieving time: 6hrs 32min 24secs.

Total relation processing time: 0hrs 53min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 28sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

19×10195+269

c155

composite cofactor 合成数の残り
16393970929366804912632491684062377118346796721162887914679229444909211562844844622673668196049844941393163513814098393010847162736063376524275996875967359<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 09:39:04 UTC 2022 年 7 月 26 日 (火) 18 時 39 分 4 秒 (日本時間)

19×10196+269

c104

name 名前Eric Jeancolas
date 日付May 30, 2022 10:50:57 UTC 2022 年 5 月 30 日 (月) 19 時 50 分 57 秒 (日本時間)
composite number 合成数
51686410673637109688928724212083547784303032178098878283372538035012855968896170393798756916380583260989<104>
prime factors 素因数
7064040989848268388006670675994103686581<40>
7316833346227129495639904612732747297108718522739259150849444969<64>
factorization results 素因数分解の結果
51686410673637109688928724212083547784303032178098878283372538035012855968896170393798756916380583260989=7064040989848268388006670675994103686581*7316833346227129495639904612732747297108718522739259150849444969

cado polynomial
n: 51686410673637109688928724212083547784303032178098878283372538035012855968896170393798756916380583260989
skew: 34078.766
c0: 17678049412179923268329058
c1: -814245312474921057821
c2: -53291278448680999
c3: 124869280179
c4: 18312938
c5: 420
Y0: -165159610465591985479
Y1: 5304029957131
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.601e-06
# f(x) = 420*x^5+18312938*x^4+124869280179*x^3-53291278448680999*x^2-814245312474921057821*x+17678049412179923268329058
# g(x) = 5304029957131*x-165159610465591985479

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7064040989848268388006670675994103686581 7316833346227129495639904612732747297108718522739259150849444969
Info:Square Root: Total cpu/real time for sqrt: 56.14/18.1896
Info:Quadratic Characters: Total cpu/real time for characters: 8.43/5.49162
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 45.84/77.1586
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 63.3s
Info:Square Root: Total cpu/real time for sqrt: 56.14/18.1896
Info:Linear Algebra: Total cpu/real time for bwc: 549.77/303.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 320.22, WCT time 177.07, iteration CPU time 0.01, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 33.1, WCT time 12.12
Info:Linear Algebra: Mksol: CPU time 180.1,  WCT time 103.33, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.19/40.1043
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4663553
Info:Lattice Sieving: Average J: 1937.06 for 41102 special-q, max bucket fill -bkmult 1.0,1s:1.295300
Info:Lattice Sieving: Total time: 8112.19s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.5/1.37208
Info:Generate Free Relations: Total cpu/real time for freerel: 62/28.8702
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.04/31.1086
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 141.78
Info:Polynomial Selection (root optimized): Rootsieve time: 141.14
Info:Filtering - Merging: Merged matrix has 219263 rows and total weight 31911005 (145.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.95/16.5736
Info:Filtering - Merging: Total cpu/real time for replay: 7.28/6.84048
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11339/27.950/36.590/42.260/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7320/28.030/32.505/37.140/0.860
Info:Polynomial Selection (size optimized): Total time: 526.26
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8771.49/4985.07
Info:root: Cleaning up computation data in /tmp/cado.c80brhtm
7064040989848268388006670675994103686581 7316833346227129495639904612732747297108718522739259150849444969
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10197+269

c198

name 名前Bob Backstrom
date 日付July 27, 2022 00:08:12 UTC 2022 年 7 月 27 日 (水) 9 時 8 分 12 秒 (日本時間)
composite number 合成数
105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<198>
prime factors 素因数
4770385121516034639014602215828259001933<40>
22127260769673426652442210576738594765514665418759851101792497693756830839586335380608774152545758791122857283204965489416737241518341144359819184861535201529<158>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 (198 digits)
Using B1=21310000, B2=96186180106, polynomial Dickson(12), sigma=1:3255937532
Step 1 took 65470ms
Step 2 took 23436ms
********** Factor found in step 2: 4770385121516034639014602215828259001933
Found prime factor of 40 digits: 4770385121516034639014602215828259001933
Prime cofactor 22127260769673426652442210576738594765514665418759851101792497693756830839586335380608774152545758791122857283204965489416737241518341144359819184861535201529 has 158 digits

ECM

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

19×10200+269

c191

name 名前Bob Backstrom
date 日付October 29, 2022 14:14:09 UTC 2022 年 10 月 29 日 (土) 23 時 14 分 9 秒 (日本時間)
composite number 合成数
79130036324379130269241558681702254160660829140101727470672603332172209999376172944476377037424047329289311531275461466154119498208862432979013444371339035906703227978617593865783076958716707<191>
prime factors 素因数
594049865992807471573445259210936014810742849957946761371817336824173672257667<78>
133204366929925721866800787531724254643548082200607034114478592521887164112361067251747989196341731498273905617121<114>
factorization results 素因数分解の結果
Number: n
N=79130036324379130269241558681702254160660829140101727470672603332172209999376172944476377037424047329289311531275461466154119498208862432979013444371339035906703227978617593865783076958716707  ( 191 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Oct 29 01:17:30 2022  p78 factor: 594049865992807471573445259210936014810742849957946761371817336824173672257667
Sat Oct 29 01:17:30 2022  p114 factor: 133204366929925721866800787531724254643548082200607034114478592521887164112361067251747989196341731498273905617121
Sat Oct 29 01:17:30 2022  elapsed time 01:36:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 19x10^200+26 = 21(199)4
#
n: 79130036324379130269241558681702254160660829140101727470672603332172209999376172944476377037424047329289311531275461466154119498208862432979013444371339035906703227978617593865783076958716707
m: 10000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 26
skew: 1.06
# Murphy_E = 1.335e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27964513)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2183469 hash collisions in 14615221 relations (13139901 unique)
Msieve: matrix is 2128706 x 2128931 (744.3 MB)

Sieving start time : 2022/10/28 13:38:03
Sieving end time  : 2022/10/28 23:40:24

Total sieving time: 10hrs 2min 21secs.

Total relation processing time: 1hrs 26min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,27,27,54,54,2.6,2.6,100000
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 JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 8, 2022 16:13:20 UTC 2022 年 9 月 9 日 (金) 1 時 13 分 20 秒 (日本時間)

19×10202+269

c171

name 名前Dmitry Domanov
date 日付August 27, 2022 22:09:51 UTC 2022 年 8 月 28 日 (日) 7 時 9 分 51 秒 (日本時間)
composite number 合成数
107060820800806062898870387517077832546499355172193931243793015371480056522687853252878117298707475208358305014656143484013346070478690268252348899239569611969481497683631<171>
prime factors 素因数
449010792126359806872820507133315820493<39>
composite cofactor 合成数の残り
238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267<132>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:25:35 2022 
Input number is 107060820800806062898870387517077832546499355172193931243793015371480056522687853252878117298707475208358305014656143484013346070478690268252348899239569611969481497683631 (171 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:391271478
Step 1 took 0ms
Step 2 took 3960ms
********** Factor found in step 2: 449010792126359806872820507133315820493
Found prime factor of 39 digits: 449010792126359806872820507133315820493
Composite cofactor 238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267 has 132 digits

c132

name 名前Eric Jeancolas
date 日付September 5, 2022 04:07:40 UTC 2022 年 9 月 5 日 (月) 13 時 7 分 40 秒 (日本時間)
composite number 合成数
238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267<132>
prime factors 素因数
333524311429988135622296279374102975555506213538961559265626469<63>
714901639234987856603829384248701710074525679228159813905387772396943<69>
factorization results 素因数分解の結果
238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267=333524311429988135622296279374102975555506213538961559265626469*714901639234987856603829384248701710074525679228159813905387772396943

cado polynomial
n: 238437076966019114975134880766210701530492147180054098878400669535427112852212115686920514582483871972957147752837820171712635484267
skew: 199008.039
c0: 4101393083866218863077735155680
c1: 5168261321483793080464932
c2: -19639020542142496897
c3: -3965084503476597
c4: -5195494918
c5: 20400
Y0: -29876389676996097238371597
Y1: 2003296467686240539
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.488e-07
# f(x) = 20400*x^5-5195494918*x^4-3965084503476597*x^3-19639020542142496897*x^2+5168261321483793080464932*x+4101393083866218863077735155680
# g(x) = 2003296467686240539*x-29876389676996097238371597

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 714901639234987856603829384248701710074525679228159813905387772396943 333524311429988135622296279374102975555506213538961559265626469
Info:Square Root: Total cpu/real time for sqrt: 2341.39/282.31
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24397422
Info:Lattice Sieving: Average J: 7999.89 for 67018 special-q, max bucket fill -bkmult 1.0,1s:1.071650
Info:Lattice Sieving: Total time: 205157s
Info:Generate Free Relations: Total cpu/real time for freerel: 333.03/29.6265
Info:Quadratic Characters: Total cpu/real time for characters: 72.83/18.5212
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 223.19/181.865
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 181.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 737.46/583.512
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 487.00000000000006s
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): 38957/38.310/46.943/51.250/0.844
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30784/38.080/42.206/47.770/1.062
Info:Polynomial Selection (size optimized): Total time: 8141.53
Info:Filtering - Merging: Merged matrix has 1747659 rows and total weight 298221725 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 485.45/58.4861
Info:Filtering - Merging: Total cpu/real time for replay: 62.05/50.0843
Info:Filtering - Singleton removal: Total cpu/real time for purge: 475.48/413.874
Info:Generate Factor Base: Total cpu/real time for makefb: 45.83/4.72973
Info:Linear Algebra: Total cpu/real time for bwc: 60438.4/11137.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38879.12, WCT time 7168.47, iteration CPU time 0.12, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (54784 iterations)
Info:Linear Algebra: Lingen CPU time 818.86, WCT time 71.47
Info:Linear Algebra: Mksol: CPU time 20462.78,  WCT time 3816.38, iteration CPU time 0.12, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (27392 iterations)
Info:Square Root: Total cpu/real time for sqrt: 2341.39/282.31
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9778.17
Info:Polynomial Selection (root optimized): Rootsieve time: 9774.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 465600/48954.8
Info:root: Cleaning up computation data in /tmp/cado.fxbz_c5v
714901639234987856603829384248701710074525679228159813905387772396943 333524311429988135622296279374102975555506213538961559265626469
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:09:45 UTC 2022 年 8 月 28 日 (日) 7 時 9 分 45 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 07:48:25 UTC 2022 年 8 月 30 日 (火) 16 時 48 分 25 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 09:52:05 UTC 2022 年 8 月 30 日 (火) 18 時 52 分 5 秒 (日本時間)

19×10203+269

c184

composite cofactor 合成数の残り
2225888041919994987821814100314308254492390901976819614861152717591812980065888266979352812817181592866808532887161066045097924021449264399183395486683875154079622258949202977525312589<184>

ECM

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

19×10204+269

c171

composite cofactor 合成数の残り
795428027587119807422386613087741072215223301186640804209926295040500553449251373426314654785645639917086754621518038047809825421050197711464297070846346031474760380582779<171>

ECM

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

19×10205+269

c175

name 名前Dmitry Domanov
date 日付August 27, 2022 22:10:44 UTC 2022 年 8 月 28 日 (日) 7 時 10 分 44 秒 (日本時間)
composite number 合成数
4102741619540433539782054062249388044548419136693815006740213602251916324098030310495344650378299789029256895977866475737550765134727956675304352833233030951981581429022707593<175>
prime factors 素因数
5227502493944672324391360773758275380369<40>
composite cofactor 合成数の残り
784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297<135>
factorization results 素因数分解の結果
Input number is 4102741619540433539782054062249388044548419136693815006740213602251916324098030310495344650378299789029256895977866475737550765134727956675304352833233030951981581429022707593 (175 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2664745939
Step 1 took 0ms
Step 2 took 4398ms
********** Factor found in step 2: 5227502493944672324391360773758275380369
Found prime factor of 40 digits: 5227502493944672324391360773758275380369
Composite cofactor 784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297 has 135 digits

c135

name 名前Eric Jeancolas
date 日付September 5, 2022 04:19:17 UTC 2022 年 9 月 5 日 (月) 13 時 19 分 17 秒 (日本時間)
composite number 合成数
784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297<135>
prime factors 素因数
4290194069725090685310639730326474575164851219681078392120504429<64>
182937601245679180883877367490154275150056178713930618862002013922677693<72>
factorization results 素因数分解の結果
784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297=4290194069725090685310639730326474575164851219681078392120504429*182937601245679180883877367490154275150056178713930618862002013922677693

cado polynomial
n: 784837811993946184361102917404452753057946691706087169492270881697096528049091356694468975332933500487705229549958884967311981546002297
skew: 60103.405
c0: -136269919503611029103487795366
c1: -78366943322899999922462351
c2: 926191031529716890022
c3: 46905376245094369
c4: -109705836942
c5: -1703520
Y0: -128984561097649221434891616
Y1: 13763327165098981909
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.210e-07
# f(x) = -1703520*x^5-109705836942*x^4+46905376245094369*x^3+926191031529716890022*x^2-78366943322899999922462351*x-136269919503611029103487795366
# g(x) = 13763327165098981909*x-128984561097649221434891616

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: 4290194069725090685310639730326474575164851219681078392120504429 182937601245679180883877367490154275150056178713930618862002013922677693
Info:Square Root: Total cpu/real time for sqrt: 515.44/152.063
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.37/96.4809
Info:Filtering - Merging: Merged matrix has 1378877 rows and total weight 234873263 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 381.41/105.179
Info:Filtering - Merging: Total cpu/real time for replay: 51.19/43.6051
Info:Generate Factor Base: Total cpu/real time for makefb: 15.25/4.21123
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013117
Info:Lattice Sieving: Average J: 3786.23 for 672061 special-q, max bucket fill -bkmult 1.0,1s:1.186960
Info:Lattice Sieving: Total time: 216893s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7252.41
Info:Polynomial Selection (root optimized): Rootsieve time: 7249.93
Info:Linear Algebra: Total cpu/real time for bwc: 29641.4/7641.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18864.32, WCT time 4827.83, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43264 iterations)
Info:Linear Algebra: Lingen CPU time 265.76, WCT time 67.59
Info:Linear Algebra: Mksol: CPU time 10268.14,  WCT time 2652.74, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
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): 54121/39.890/48.479/53.980/0.967
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44022/38.170/43.330/49.170/1.089
Info:Polynomial Selection (size optimized): Total time: 11063.3
Info:Generate Free Relations: Total cpu/real time for freerel: 249.36/63.3188
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.66/164.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.3s
Info:Square Root: Total cpu/real time for sqrt: 515.44/152.063
Info:Quadratic Characters: Total cpu/real time for characters: 46.86/20.7952
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.76/82.151
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 82.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 466194/50494.6
Info:root: Cleaning up computation data in /tmp/cado.hf2m8yo8
4290194069725090685310639730326474575164851219681078392120504429 182937601245679180883877367490154275150056178713930618862002013922677693
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:10:24 UTC 2022 年 8 月 28 日 (日) 7 時 10 分 24 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 07:57:11 UTC 2022 年 8 月 30 日 (火) 16 時 57 分 11 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 14:23:06 UTC 2022 年 8 月 30 日 (火) 23 時 23 分 6 秒 (日本時間)

19×10207+269

c169

name 名前Dmitry Domanov
date 日付August 27, 2022 22:11:20 UTC 2022 年 8 月 28 日 (日) 7 時 11 分 20 秒 (日本時間)
composite number 合成数
1102108305584430838781100767104267014251100935276159001476332743661068052298630094277202059919175135134315682596409814719204225366350578377970592066387381169432588081259<169>
prime factors 素因数
4288419430845430965197703359888623629659863<43>
composite cofactor 合成数の残り
256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093<126>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:37:30 2022 
Input number is 1102108305584430838781100767104267014251100935276159001476332743661068052298630094277202059919175135134315682596409814719204225366350578377970592066387381169432588081259 (169 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3907060524
Step 1 took 0ms
Step 2 took 3973ms
********** Factor found in step 2: 4288419430845430965197703359888623629659863
Found prime factor of 43 digits: 4288419430845430965197703359888623629659863
Composite cofactor 256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093 has 126 digits

c126

name 名前Eric Jeancolas
date 日付August 30, 2022 20:31:15 UTC 2022 年 8 月 31 日 (水) 5 時 31 分 15 秒 (日本時間)
composite number 合成数
256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093<126>
prime factors 素因数
208617157829474724370485382423359930814627<42>
854875227595068183219123107850861689157731<42>
1441034118429044868995439196947502456524389<43>
factorization results 素因数分解の結果
256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093=208617157829474724370485382423359930814627*854875227595068183219123107850861689157731*1441034118429044868995439196947502456524389

cado polynomial
n: 256996388379659527403307511135482492118240961498417498923987353839775902090954951491973757390951574974879081211821962090878093
skew: 189882.989
c0: 2748805028289544240591228461192
c1: 120655560909638929257764995
c2: -636436355612883331494
c3: -4944955211537935
c4: 6942946794
c5: 30240
Y0: -2164283707458478141924050
Y1: 1198721129943046499
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.384e-07
# f(x) = 30240*x^5+6942946794*x^4-4944955211537935*x^3-636436355612883331494*x^2+120655560909638929257764995*x+2748805028289544240591228461192
# g(x) = 1198721129943046499*x-2164283707458478141924050

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1441034118429044868995439196947502456524389 208617157829474724370485382423359930814627 854875227595068183219123107850861689157731
Info:Square Root: Total cpu/real time for sqrt: 592.52/175.669
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.13/134.339
Info:Filtering - Merging: Merged matrix has 836322 rows and total weight 142925844 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 172.5/49.511
Info:Filtering - Merging: Total cpu/real time for replay: 31.75/26.4868
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.35517
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12073408
Info:Lattice Sieving: Average J: 3842.98 for 236675 special-q, max bucket fill -bkmult 1.0,1s:1.271640
Info:Lattice Sieving: Total time: 71500.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2834.6
Info:Polynomial Selection (root optimized): Rootsieve time: 2832.13
Info:Linear Algebra: Total cpu/real time for bwc: 10757.4/2764.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6793.44, WCT time 1737.98, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 146.35, WCT time 37.16
Info:Linear Algebra: Mksol: CPU time 3685.15,  WCT time 941.27, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20132/36.760/44.673/48.430/0.876
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15936/36.200/40.069/45.480/0.979
Info:Polynomial Selection (size optimized): Total time: 1962.67
Info:Generate Free Relations: Total cpu/real time for freerel: 128.07/33.4472
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.94/175.444
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.2s
Info:Square Root: Total cpu/real time for sqrt: 592.52/175.669
Info:Quadratic Characters: Total cpu/real time for characters: 31.78/12.758
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.44/54.2286
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 149657/40528
Info:root: Cleaning up computation data in /tmp/cado.bf3nyfi1
1441034118429044868995439196947502456524389 208617157829474724370485382423359930814627 854875227595068183219123107850861689157731
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:11:11 UTC 2022 年 8 月 28 日 (日) 7 時 11 分 11 秒 (日本時間)
2350Ignacio SantosAugust 28, 2022 14:59:20 UTC 2022 年 8 月 28 日 (日) 23 時 59 分 20 秒 (日本時間)

19×10209+269

c156

composite cofactor 合成数の残り
185982332725231096473968238272823536705010112237685838331871460141532588013605952586269120451801467269842237903111716414321208378921202303290031001427352543<156>

ECM

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

19×10211+269

c154

name 名前Dmitry Domanov
date 日付August 27, 2022 22:11:50 UTC 2022 年 8 月 28 日 (日) 7 時 11 分 50 秒 (日本時間)
composite number 合成数
4506987745515183921522265912604129094998960526829199687852377108091866498027719825476819469672459678584687154134880108719931946348000911677740454156478043<154>
prime factors 素因数
1688057868736867767741772789586438686694131<43>
2669924905410767776140047349710527142961501322185146328851811016120050674534866312887501716247123428480844796153<112>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:43:28 2022 
Input number is 4506987745515183921522265912604129094998960526829199687852377108091866498027719825476819469672459678584687154134880108719931946348000911677740454156478043 (154 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3722770034
Step 1 took 0ms
Step 2 took 3445ms
********** Factor found in step 2: 1688057868736867767741772789586438686694131
Found prime factor of 43 digits: 1688057868736867767741772789586438686694131
Prime cofactor 2669924905410767776140047349710527142961501322185146328851811016120050674534866312887501716247123428480844796153 has 112 digits

ECM

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

19×10212+269

c177

name 名前Dmitry Domanov
date 日付August 27, 2022 22:12:20 UTC 2022 年 8 月 28 日 (日) 7 時 12 分 20 秒 (日本時間)
composite number 合成数
351285587218850278625729821842823457191337312362633437690717803456892222831001575320086535359202405325124161484615857187780214553833442041442505600918660380374018899545150100639<177>
prime factors 素因数
451144344815810536814479410087400872667<39>
778654528767883011559106859477209420486160962987022745165069562819299083598358120450636746574212983842718563768300778568226249335939595917<138>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:46:27 2022 
Input number is 351285587218850278625729821842823457191337312362633437690717803456892222831001575320086535359202405325124161484615857187780214553833442041442505600918660380374018899545150100639 (177 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2929791851
Step 1 took 0ms
Step 2 took 4373ms
********** Factor found in step 2: 451144344815810536814479410087400872667
Found prime factor of 39 digits: 451144344815810536814479410087400872667
Prime cofactor 778654528767883011559106859477209420486160962987022745165069562819299083598358120450636746574212983842718563768300778568226249335939595917 has 138 digits

ECM

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

19×10213+269

c185

composite cofactor 合成数の残り
79753168520495130951380561609891267228666597907548539310791299749798093350172374676209807756919348843825047619551793258412872006175666449847673896766514525823714206204974216448282303287<185>

ECM

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

19×10216+269

c136

name 名前Eric Jeancolas
date 日付August 20, 2022 06:38:21 UTC 2022 年 8 月 20 日 (土) 15 時 38 分 21 秒 (日本時間)
composite number 合成数
6299567632265147922610180153224090819803653384397259808040626674230819899963266819024095559555548983024788780051633536504051018894922211<136>
prime factors 素因数
3747288065269412755840207730815167735747673247735988157<55>
1681100444518998573174309327623696704689654345251196902407768984631214150754017823<82>
factorization results 素因数分解の結果
6299567632265147922610180153224090819803653384397259808040626674230819899963266819024095559555548983024788780051633536504051018894922211=3747288065269412755840207730815167735747673247735988157*1681100444518998573174309327623696704689654345251196902407768984631214150754017823

cado polynomial
n: 6299567632265147922610180153224090819803653384397259808040626674230819899963266819024095559555548983024788780051633536504051018894922211
skew: 496073.74
c0: 12093386496448688368532220869208
c1: 42477957955830609469534182
c2: -2103312052249191004085
c3: -283352498588477
c4: 4994411347
c5: 660
Y0: -367695870018266750211956765
Y1: 20505082551251139487
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.188e-07
# f(x) = 660*x^5+4994411347*x^4-283352498588477*x^3-2103312052249191004085*x^2+42477957955830609469534182*x+12093386496448688368532220869208
# g(x) = 20505082551251139487*x-367695870018266750211956765

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: 3747288065269412755840207730815167735747673247735988157 1681100444518998573174309327623696704689654345251196902407768984631214150754017823
Info:Square Root: Total cpu/real time for sqrt: 501.18/150.339
Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.58/92.3057
Info:Filtering - Merging: Merged matrix has 1462742 rows and total weight 248975988 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 389.3/107.808
Info:Filtering - Merging: Total cpu/real time for replay: 55.19/46.728
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017561
Info:Lattice Sieving: Average J: 3804.27 for 720780 special-q, max bucket fill -bkmult 1.0,1s:1.198470
Info:Lattice Sieving: Total time: 238387s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6714.97
Info:Polynomial Selection (root optimized): Rootsieve time: 6712.5
Info:Linear Algebra: Total cpu/real time for bwc: 33854.9/8723.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21561.87, WCT time 5517.91, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45824 iterations)
Info:Linear Algebra: Lingen CPU time 287.4, WCT time 73.05
Info:Linear Algebra: Mksol: CPU time 11748.14,  WCT time 3036.9, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
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): 54344/40.100/48.814/54.630/0.959
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44203/39.420/43.707/49.520/1.166
Info:Polynomial Selection (size optimized): Total time: 11100.8
Info:Generate Factor Base: Total cpu/real time for makefb: 15.12/4.19515
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.67/158.676
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.89999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/63.0473
Info:Square Root: Total cpu/real time for sqrt: 501.18/150.339
Info:Quadratic Characters: Total cpu/real time for characters: 50.81/23.4153
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.67/81.6803
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 499061/134095
Info:root: Cleaning up computation data in /tmp/cado.ya1wqy62
3747288065269412755840207730815167735747673247735988157 1681100444518998573174309327623696704689654345251196902407768984631214150754017823
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:59:42 UTC 2022 年 6 月 3 日 (金) 20 時 59 分 42 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 13:28:16 UTC 2022 年 6 月 5 日 (日) 22 時 28 分 16 秒 (日本時間)
5043e66454Ignacio SantosJune 25, 2022 18:41:27 UTC 2022 年 6 月 26 日 (日) 3 時 41 分 27 秒 (日本時間)

19×10219+269

c126

name 名前ebina
date 日付June 3, 2022 23:57:50 UTC 2022 年 6 月 4 日 (土) 8 時 57 分 50 秒 (日本時間)
composite number 合成数
300468537429239240898849398621055860199739937041657570369395611293483190662932083686557367063907370807432446122781679010920673<126>
prime factors 素因数
44014061840153780569050784599282896783349746570564593<53>
6826648686059769369815502042776023001079091777886388474291756040680088561<73>
factorization results 素因数分解の結果
Sat Jun  4 08:45:55 2022  Msieve v. 1.53 (SVN unknown)
Sat Jun  4 08:45:55 2022  random seeds: 3a826ad0 a13d0843
Sat Jun  4 08:45:55 2022  factoring 300468537429239240898849398621055860199739937041657570369395611293483190662932083686557367063907370807432446122781679010920673 (126 digits)
Sat Jun  4 08:45:55 2022  searching for 15-digit factors
Sat Jun  4 08:45:56 2022  commencing number field sieve (126-digit input)
Sat Jun  4 08:45:56 2022  R0: -2310857064813889920044544
Sat Jun  4 08:45:56 2022  R1: 38167082820031
Sat Jun  4 08:45:56 2022  A0: 7580810587028989926231737686111
Sat Jun  4 08:45:56 2022  A1: 31071846188010580388628143
Sat Jun  4 08:45:56 2022  A2: -1016076186622252895371
Sat Jun  4 08:45:56 2022  A3: -2153524739372807
Sat Jun  4 08:45:56 2022  A4: -19870201596
Sat Jun  4 08:45:56 2022  A5: 4560
Sat Jun  4 08:45:56 2022  skew 295623.21, size 2.319e-12, alpha -5.846, combined = 9.287e-11 rroots = 3
Sat Jun  4 08:45:56 2022  
Sat Jun  4 08:45:56 2022  commencing square root phase
Sat Jun  4 08:45:56 2022  reading relations for dependency 1
Sat Jun  4 08:45:57 2022  read 636913 cycles
Sat Jun  4 08:45:58 2022  cycles contain 2281570 unique relations
Sat Jun  4 08:46:45 2022  read 2281570 relations
Sat Jun  4 08:46:58 2022  multiplying 2281570 relations
Sat Jun  4 08:48:46 2022  multiply complete, coefficients have about 104.70 million bits
Sat Jun  4 08:48:48 2022  initial square root is modulo 32722499
Sat Jun  4 08:51:19 2022  sqrtTime: 323
Sat Jun  4 08:51:19 2022  p53 factor: 44014061840153780569050784599282896783349746570564593
Sat Jun  4 08:51:19 2022  p73 factor: 6826648686059769369815502042776023001079091777886388474291756040680088561
Sat Jun  4 08:51:19 2022  elapsed time 00:05:24

ECM

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

19×10220+269

c219

name 名前Erik Branger
date 日付July 6, 2022 07:23:19 UTC 2022 年 7 月 6 日 (水) 16 時 23 分 19 秒 (日本時間)
composite number 合成数
390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391<219>
prime factors 素因数
284994146167690657476600000051481385783<39>
1371770288318764649885970101083582724433581727517183747494457309840660177798939377953353072397277171636259564570043681360369970870884269606824525139339026308722928210996917627654777<181>
factorization results 素因数分解の結果
Number: 21114_220
N = 390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391 (219 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=284994146167690657476600000051481385783 (pp39)
r2=1371770288318764649885970101083582724433581727517183747494457309840660177798939377953353072397277171636259564570043681360369970870884269606824525139339026308722928210996917627654777 (pp181)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 44.69 hours.
Factorization parameters were as follows:
n: 390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835390946502057613168724279835391
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 19
c0: 26
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31002537
Relations: 6592236 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.72 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 5985989 x 5986215
Matrix solve time: 26.47 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 44.69 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

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

19×10222+269

c181

composite cofactor 合成数の残り
1410345545823275778784708811625968646849781359700148141891324569419995692685646427964625911420961106761716928680913352010513206818196686663488743352237084900272654266793881891270983<181>

ECM

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

19×10223+269

c178

composite cofactor 合成数の残り
7419375168574948197360805308721875197427135508595514212446203374240431964900374755138133629984354778525915697866189562214012733748399393843377252399964778376915045822408418459177<178>

ECM

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

19×10225+269

c193

name 名前Dmitry Domanov
date 日付August 28, 2022 01:10:46 UTC 2022 年 8 月 28 日 (日) 10 時 10 分 46 秒 (日本時間)
composite number 合成数
8362418470617211802315437201100449655892350496044717182081641085306758884961510492173366826657358464106945306140536344387520750538851701422328144546629252467642451901144195480693726732875947411<193>
prime factors 素因数
10995842785067772779180422571279922570307<41>
760507278439200611985529867180125656488182266673612684527993048795247752634510457212178146310614347128234446018182804451740677980729814490590927973545073<153>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 15:58:18 2022 
Input number is 8362418470617211802315437201100449655892350496044717182081641085306758884961510492173366826657358464106945306140536344387520750538851701422328144546629252467642451901144195480693726732875947411 (193 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1979236870
Step 1 took 0ms
Step 2 took 5001ms
********** Factor found in step 2: 10995842785067772779180422571279922570307
Found prime factor of 41 digits: 10995842785067772779180422571279922570307
Prime cofactor 760507278439200611985529867180125656488182266673612684527993048795247752634510457212178146310614347128234446018182804451740677980729814490590927973545073 has 153 digits

ECM

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

19×10226+269

c153

name 名前Ignacio Santos
date 日付June 3, 2022 14:19:27 UTC 2022 年 6 月 3 日 (金) 23 時 19 分 27 秒 (日本時間)
composite number 合成数
219696023516891709610864030800767750411958526545856103140864507814572587669337121813861597525494737201767933214144995261777968250098121366228472736414157<153>
prime factors 素因数
154282176036519439880210578993382039<36>
composite cofactor 合成数の残り
1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4092665413
Step 1 took 4890ms
Step 2 took 3000ms
********** Factor found in step 2: 154282176036519439880210578993382039
Found prime factor of 36 digits: 154282176036519439880210578993382039
Composite cofactor 1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363 has 118 digits
 
software ソフトウェア
GMP-ECM

c118

name 名前Eric Jeancolas
date 日付June 4, 2022 20:56:16 UTC 2022 年 6 月 5 日 (日) 5 時 56 分 16 秒 (日本時間)
composite number 合成数
1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363<118>
prime factors 素因数
103087497875465765792574459552158682002101719954579287<54>
13813395356271627490819051325796389877210499004175079975532149949<65>
factorization results 素因数分解の結果
1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363=103087497875465765792574459552158682002101719954579287*13813395356271627490819051325796389877210499004175079975532149949

cado polynomial
n: 1423988364442620073918858749213096199068699611974436991696837952548366833124211153388148288696960538870119474893506363
skew: 10832.421
c0: -23498935523481248857414206
c1: 682846491999334864661
c2: 1059695643038481880
c3: 40167768537737
c4: -4024894572
c5: 126720
Y0: -34126944784237352479610
Y1: 31418863851991313
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 2.049e-06
# f(x) = 126720*x^5-4024894572*x^4+40167768537737*x^3+1059695643038481880*x^2+682846491999334864661*x-23498935523481248857414206
# g(x) = 31418863851991313*x-34126944784237352479610

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 103087497875465765792574459552158682002101719954579287 13813395356271627490819051325796389877210499004175079975532149949
Info:Square Root: Total cpu/real time for sqrt: 137.29/40.953
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.03/63.1077
Info:Generate Free Relations: Total cpu/real time for freerel: 125.46/32.755
Info:Linear Algebra: Total cpu/real time for bwc: 2529.87/658.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1531.31, WCT time 396.61, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16256 iterations)
Info:Linear Algebra: Lingen CPU time 83.99, WCT time 21.41
Info:Linear Algebra: Mksol: CPU time 883.31,  WCT time 227.67, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8192 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13426698
Info:Lattice Sieving: Average J: 1894 for 177428 special-q, max bucket fill -bkmult 1.0,1s:1.249870
Info:Lattice Sieving: Total time: 22775.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/1.37939
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1023.52
Info:Polynomial Selection (root optimized): Rootsieve time: 1021.08
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.06/57.5121
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s
Info:Filtering - Merging: Merged matrix has 518298 rows and total weight 52564619 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.45/12.5999
Info:Filtering - Merging: Total cpu/real time for replay: 12.16/9.5712
Info:Quadratic Characters: Total cpu/real time for characters: 15.57/5.9968
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19881/34.580/41.769/46.640/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15528/33.290/36.958/42.290/0.793
Info:Polynomial Selection (size optimized): Total time: 2325.08
Info:Square Root: Total cpu/real time for sqrt: 137.29/40.953
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.39/109.684
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 48514.5/13449.6
Info:root: Cleaning up computation data in /tmp/cado.ty069jre
103087497875465765792574459552158682002101719954579287 13813395356271627490819051325796389877210499004175079975532149949
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 4, 2022 16:41:40 UTC 2022 年 6 月 5 日 (日) 1 時 41 分 40 秒 (日本時間)

19×10227+269

c191

name 名前Dmitry Domanov
date 日付August 28, 2022 01:11:20 UTC 2022 年 8 月 28 日 (日) 10 時 11 分 20 秒 (日本時間)
composite number 合成数
66593969599206913633558356927170276265826697025853463560141966826965824898219147282954562454280940538773058948430854280361812918509851147065034251870508715704579701137529430805477421144370159<191>
prime factors 素因数
19938725670032031018080195559641484281<38>
composite cofactor 合成数の残り
3339931081919536347213647437760373999661023380956008982763493565836260528882158374701111239111105058649856566577275196673689862648292872344338530918867239<154>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 16:01:17 2022 
Input number is 66593969599206913633558356927170276265826697025853463560141966826965824898219147282954562454280940538773058948430854280361812918509851147065034251870508715704579701137529430805477421144370159 (191 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4186287746
Step 1 took 0ms
Step 2 took 4432ms
********** Factor found in step 2: 19938725670032031018080195559641484281
Found prime factor of 38 digits: 19938725670032031018080195559641484281
Composite cofactor 3339931081919536347213647437760373999661023380956008982763493565836260528882158374701111239111105058649856566577275196673689862648292872344338530918867239 has 154 digits

c154

name 名前Ignacio Santos
date 日付August 30, 2022 15:26:40 UTC 2022 年 8 月 31 日 (水) 0 時 26 分 40 秒 (日本時間)
composite number 合成数
3339931081919536347213647437760373999661023380956008982763493565836260528882158374701111239111105058649856566577275196673689862648292872344338530918867239<154>
prime factors 素因数
1285929714290859582678272735388562784131156939<46>
2597288984617156110798934907537091769978333185111285639388509652818661858891620821580922904504895874389527701<109>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:491915701
Step 1 took 21578ms
Step 2 took 11203ms
********** Factor found in step 2: 1285929714290859582678272735388562784131156939
Found prime factor of 46 digits: 1285929714290859582678272735388562784131156939
Prime cofactor 2597288984617156110798934907537091769978333185111285639388509652818661858891620821580922904504895874389527701 has 109 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e623921792Dmitry DomanovAugust 28, 2022 01:11:03 UTC 2022 年 8 月 28 日 (日) 10 時 11 分 3 秒 (日本時間)
600ebinaAugust 28, 2022 23:42:47 UTC 2022 年 8 月 29 日 (月) 8 時 42 分 47 秒 (日本時間)

19×10228+269

c149

name 名前Ignacio Santos
date 日付June 3, 2022 13:42:14 UTC 2022 年 6 月 3 日 (金) 22 時 42 分 14 秒 (日本時間)
composite number 合成数
34070291542838839761979353523271016263720628050059427113181424798672234287858806557794794581619670985401620527140133863804623789652425101862773879797<149>
prime factors 素因数
22666487154373013169053354485561558004453<41>
1503113001622119765096044342621851322086935173044859879341458260537848398221940142811794714625645852353207249<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1652927329
Step 1 took 5891ms
********** Factor found in step 1: 22666487154373013169053354485561558004453
Found prime factor of 41 digits: 22666487154373013169053354485561558004453
Prime cofactor 1503113001622119765096044342621851322086935173044859879341458260537848398221940142811794714625645852353207249 has 109 digits
 
software ソフトウェア
GMP-ECM

ECM

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

19×10230+269

c179

composite cofactor 合成数の残り
12952951432394251175982679655022592521828287595801553719002314436857562847596135819718460738845680239168399706431975691369613638672862719269023773347745785320753684451359313059109<179>

ECM

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

19×10231+269

c212

composite cofactor 合成数の残り
32259540461984198573325466356192969045839855639078861119134617248368319894227224622191357672551750171763159658191976340367037922473016619547437232809074490314003005602164787299071762073010214135377958023276865583<212>

ECM

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

19×10232+269

c163

name 名前Dmitry Domanov
date 日付August 26, 2022 18:15:35 UTC 2022 年 8 月 27 日 (土) 3 時 15 分 35 秒 (日本時間)
composite number 合成数
1121048303795234082028782158670965789768035045986622699164123878834781626995488772811976528510119422399008471273616842059736062170108587610474139963572147091934691<163>
prime factors 素因数
13104712006621393331756586677224801<35>
85545436117085526317625521437727357419137811390177768456781472440650330677873066961156525109162825924553492054500772538767037891<128>
factorization results 素因数分解の結果
GPU: factor 13104712006621393331756586677224801 found in Step 1 with curve 1244 (-sigma 3:1351512793)
Computing 1792 Step 1 took 342ms of CPU time / 178477ms of GPU time
Throughput: 10.041 curves per second (on average 99.60ms per Step 1)
********** Factor found in step 1: 13104712006621393331756586677224801
Found prime factor of 35 digits: 13104712006621393331756586677224801
Prime cofactor 85545436117085526317625521437727357419137811390177768456781472440650330677873066961156525109162825924553492054500772538767037891 has 128 digits
Peak memory usage: 9428MB

ECM

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

19×10233+269

c225

composite cofactor 合成数の残り
330957113860576700985605996830308059755360396276927977628826383011504243117372400260758392678655632708382451505994166172968359583337911428251775758145782906813171528902028206814990364687033138286754312422666143917466692520479<225>

ECM

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

19×10235+269

c219

composite cofactor 合成数の残り
297771852005056042083877200538071511032353822303479587336069078783692597799994869107886806833197041232434970236731643536298848501862810094034485281494908216490717246681769589804469951521920109465196096503462305324694623<219>

ECM

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

19×10237+269

c180

name 名前Dmitry Domanov
date 日付August 28, 2022 17:50:10 UTC 2022 年 8 月 29 日 (月) 2 時 50 分 10 秒 (日本時間)
composite number 合成数
706173495209581765347322622703544171082466916202635858561427006319035263160969700830049446130399474953171126285869774999899050422148471296313288243019313789854815952349596388813267<180>
prime factors 素因数
32104888490545889260932365211099948509<38>
composite cofactor 合成数の残り
21995824574115332207682769846856913372616926770651030696928918567784959511921448999028458151495684209637426328512400793534232333450292334250863<143>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 16:19:01 2022 
Input number is 706173495209581765347322622703544171082466916202635858561427006319035263160969700830049446130399474953171126285869774999899050422148471296313288243019313789854815952349596388813267 (180 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3645549254
Step 1 took 0ms
Step 2 took 4591ms
********** Factor found in step 2: 32104888490545889260932365211099948509
Found prime factor of 38 digits: 32104888490545889260932365211099948509
Composite cofactor 21995824574115332207682769846856913372616926770651030696928918567784959511921448999028458151495684209637426328512400793534232333450292334250863 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 28, 2022 17:50:04 UTC 2022 年 8 月 29 日 (月) 2 時 50 分 4 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 08:25:35 UTC 2022 年 8 月 30 日 (火) 17 時 25 分 35 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 14:23:38 UTC 2022 年 8 月 30 日 (火) 23 時 23 分 38 秒 (日本時間)

19×10239+269

c208

composite cofactor 合成数の残り
7374351252520078185983120974279967371311953743046298143544725279712045913587348152515245424406168483301767343688595781749122852827602706120296721286720896076478840159705160703717592827630361515562262382583663<208>

ECM

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

19×10241+269

c178

composite cofactor 合成数の残り
6488992073456400444852926099488949440074790984026639543377500477602533080810712271999869009476411205266730147835494945422761036542727344656169522466976490892731753250267779155699<178>

ECM

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

19×10243+269

c196

composite cofactor 合成数の残り
5399365925864062790688642307738873667191398564356700393460233197260417885784363698143790718328285416382804220160670437400967339874116059447043185271091610935594424710246199105256485009418782404201<196>

ECM

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

19×10246+269

c245

composite cofactor 合成数の残り
45893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415459<245>

ECM

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

19×10247+269

c182

composite cofactor 合成数の残り
21517838002089478575237946216434074605664727104056438672378016408673514684507281289958745884067799502267798373324747274912829004983747042085933745991332303138687955938056868691111113<182>

ECM

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

19×10248+269

c219

composite cofactor 合成数の残り
246446264514134566310728385192071115788407013958394011587135213890527938206172429622317761298371454030519838321933375659196358339069897493681196005192235037383476308035269624911862559620840053193333308196552469409425483<219>

ECM

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

19×10249+269

c182

name 名前Dmitry Domanov
date 日付August 27, 2022 22:16:48 UTC 2022 年 8 月 28 日 (日) 7 時 16 分 48 秒 (日本時間)
composite number 合成数
79869682270960291314198005741339464440547268280587746023836038066544223352887428731839748588688891981704029651131695821821376181957582754348781742550219071741252836734671531111450069<182>
prime factors 素因数
466124059246646755839644210798747142673968761<45>
composite cofactor 合成数の残り
171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029<138>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 16:41:14 2022 
Input number is 79869682270960291314198005741339464440547268280587746023836038066544223352887428731839748588688891981704029651131695821821376181957582754348781742550219071741252836734671531111450069 (182 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:750794331
Step 1 took 0ms
Step 2 took 4392ms
********** Factor found in step 2: 466124059246646755839644210798747142673968761
Found prime factor of 45 digits: 466124059246646755839644210798747142673968761
Composite cofactor 171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029 has 138 digits

c138

name 名前Norman Powell
date 日付October 8, 2022 16:46:56 UTC 2022 年 10 月 9 日 (日) 1 時 46 分 56 秒 (日本時間)
composite number 合成数
171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029<138>
prime factors 素因数
626454795276779626440131463678421927512705533504369743<54>
273521014727355427620942959254548625740932318155062895077279340677321349934483687603<84>
factorization results 素因数分解の結果
New best polynomial is:
n: 171348551284922469582178291031254418692234506607302286186538172977678260971037526263948762987639158563955070209762260308170211753017396029
skew: 18079.875
c0: -6125778205507779793974508992
c1: 3604010831482266630174094
c2: 1020285155749097536862
c3: -29662975321778000
c4: -1522627815969
c5: 2383290
Y0: -159974404308534771275954745
Y1: 8439563886707991155057
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 1.296e-06
# f(x) = 2383290*x^5-1522627815969*x^4-29662975321778000*x^3+1020285155749097536862*x^2+3604010831482266630174094*x-6125778205507779793974508992
# g(x) = 8439563886707991155057*x-159974404308534771275954745
Factors: 
   273521014727355427620942959254548625740932318155062895077279340677321349934483687603
        626454795276779626440131463678421927512705533504369743
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 27, 2022 22:16:38 UTC 2022 年 8 月 28 日 (日) 7 時 16 分 38 秒 (日本時間)
2350Ignacio SantosAugust 30, 2022 08:06:19 UTC 2022 年 8 月 30 日 (火) 17 時 6 分 19 秒 (日本時間)
4511e64480Ignacio SantosAugust 30, 2022 14:23:21 UTC 2022 年 8 月 30 日 (火) 23 時 23 分 21 秒 (日本時間)

19×10250+269

c211

composite cofactor 合成数の残り
3676432161895546273542277203818365618602965139241530182664734918284026129799708967683562598517407730946900679829015252103337538504889025527130532724416031852996293265773313441309745924222401825401609423687493401<211>

ECM

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

19×10251+269

c210

composite cofactor 合成数の残り
134196052673646395080705189128998063329038391530613907496138403102011326541427074956735726322055016366186637286696846871678984441346802467734343332954282799761926916037047933045415132161619964541828999634604469<210>

ECM

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

19×10252+269

c238

composite cofactor 合成数の残り
2951204861631977325957912437963641057065419468055275642491935555816511955365932559061869252384742577649316509068912983205434751703374501116683068342954287557374905629818431561537464696938957781518670543284534463705563354631493879189537519<238>

ECM

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

19×10253+269

c200

composite cofactor 合成数の残り
13165527390162005326812382455130557456068916736423968654602013794621480170825472325253260124742412452560099351087305915672869022332435253062643012211571261427674288625467722859779373009697870794086349<200>

ECM

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

19×10254+269

c216

composite cofactor 合成数の残り
553517999847917403161774754014446582064281048072910563303200968267457490194769245726251311588018961957239361600440894613744903118859792026418297313617364388691385115497485468805644115791009555525186779249723870398333<216>

ECM

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

19×10255+269

c245

composite cofactor 合成数の残り
30480596460654532043641638061684805675860903243525107787043805402942997494349989175011403240083031887499146990120582157513490531780969727060049624664869502394102056942186009475335943136296258080387540587489837868482698611965697078002257284199857<245>

ECM

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

19×10256+269

c201

composite cofactor 合成数の残り
198305169005322447900529289663904416612218367704524616875949185002212095272470372927388137657947717133618528485303103769914398121597945441198116372109705957990095959866155712076492442513909212736257413<201>

ECM

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

19×10257+269

c180

composite cofactor 合成数の残り
118502066355746538456527930996796531051721063000147113275524640109437345847033746894230953472545196944290204063910615043548713930263578951295496370887503160290585739299113837295981<180>

ECM

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

19×10258+269

c253

composite cofactor 合成数の残り
1279425610626074128303763113944163442177436938795106991629997655284223052636781708577282761275207546402410060756555339130612789650174062487416175737592231435433382530614971407531130108561283207323378324671621949394811484716857051931346829792085257690459<253>

ECM

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

19×10259+269

c214

composite cofactor 合成数の残り
3770848445391452812303804601640095850270361925615019789642446824538162906435998720723799332172134221045286724058914288872176047318401385915962432677155319089594255791049793803046986487198003621318624019169923916539<214>

ECM

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

19×10260+269

c244

composite cofactor 合成数の残り
9996542448376919926392289301347515331164909819422284775330356543340752446770618377137315259956665623525176239815135227907913530854179406688530820601686860570518657300283373216215631409808487452209745003134445553661097940979508011125415531273813<244>

ECM

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

19×10263+269

c209

composite cofactor 合成数の残り
55609093878184497217635577716638461429525761317527537650775926947703482120237390560248566663097926175375100173197509042227522177086260592690230788470661442950787547283719801680636826836245039337297263713188753<209>

ECM

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

19×10264+269

c247

composite cofactor 合成数の残り
3432833889016025441279121486754204304604816377468290755974746455632633646698843844237709705860785398181695679952665964080852018313856128043488095392037318452333189408721225751061570456718210703261458474075597675596138323918104598680014134541638959<247>

ECM

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

19×10265+269

c201

composite cofactor 合成数の残り
455218952960535918166030707993669613023490593537477764031735887666500573113161662887633510068870850925978841763632859647005690555820456945857800599530364021951670224948347577269417862396275214644269781<201>

ECM

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

19×10266+269

c262

composite cofactor 合成数の残り
6676928050828993330100294487668768141916348634041087706721206626323964549026222756376466288541688630245781235723673575530112945509238759918752328139386144320042732339525305557312641884721080116108264631257862961323015722408473373113767825640809384246666807233573<262>

ECM

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

19×10267+269

c231

composite cofactor 合成数の残り
462201975014178075951826671807338854020130144130625887712242938551721779214446644084124645936062684663917746789213997684355962847513808765348204224003166355962511042804899708205402510393056772136488682746429736540622863020301171719<231>

ECM

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

19×10268+269

c199

composite cofactor 合成数の残り
2208203976053501203755721525644609759784685142662096162973220207001625322600694387602079452804883536043680344003454344653860122467606493390743400575545134529023870040188400030493459460785544096472919<199>

ECM

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

19×10269+269

c253

composite cofactor 合成数の残り
1188602669807201363253047631968108861245061270540959935898459903594829953483767400781634068253756183338694410556801736144013244277630836127938336091769458002157019819013621525367595384846474042332847899016575821596124506832535536084216652511972549353573<253>

ECM

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

19×10271+269

c271

composite cofactor 合成数の残り
3518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<271>

ECM

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

19×10272+269

c271

composite cofactor 合成数の残り
1271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103079<271>

ECM

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

19×10273+269

c259

composite cofactor 合成数の残り
5532231364518053887641441262828818678805324902776949699964123612202222252442065319317710602136057526618104231662288109497058755064870632492940148154415369858684692509895762242173200932069267360472337255975900677854002060121047540180944267279986350199678800501<259>

ECM

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

19×10274+269

c236

composite cofactor 合成数の残り
18355467100123119624955210868515775739479540445788423576223297986846275944951194768885347886189847332387738786169702061527581343767418805093821593820234932335181891725744813392709712737465739532768598121084796616218340573303820840633083<236>

ECM

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

19×10275+269

c273

composite cofactor 合成数の残り
282990765564492106047065832588620792374143580577896931784331248138218647602025618111408996127494787012213285671730711945189156985403634197199880845993446529639559130175752159666368781650282990765564492106047065832588620792374143580577896931784331248138218647602025618111409<273>

ECM

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

19×10276+269

c270

name 名前Dmitry Domanov
date 日付August 30, 2022 08:39:32 UTC 2022 年 8 月 30 日 (火) 17 時 39 分 32 秒 (日本時間)
composite number 合成数
943252818265663879702102887833041471053407868178134982655566467501316334130332319882647434635310162873946374190775960477111176046620915926287671655878336669966065735189615163772022346950031728046113346620290400734506005094955275419397507687758693291020004803639089230823<270>
prime factors 素因数
386916416299638423507975894828306953<36>
composite cofactor 合成数の残り
2437872311768709403867687258493043865167141494570560106128425626927568823355483295820691535235188030167910600644623522794078882202079654445455766308569871722417851668285910634111778536354810522065320653695291905284082855221040801927791<235>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 18:13:00 2022 
Input number is 943252818265663879702102887833041471053407868178134982655566467501316334130332319882647434635310162873946374190775960477111176046620915926287671655878336669966065735189615163772022346950031728046113346620290400734506005094955275419397507687758693291020004803639089230823 (270 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2046848747
Step 1 took 0ms
Step 2 took 7393ms
********** Factor found in step 2: 386916416299638423507975894828306953
Found prime factor of 36 digits: 386916416299638423507975894828306953
Composite cofactor 2437872311768709403867687258493043865167141494570560106128425626927568823355483295820691535235188030167910600644623522794078882202079654445455766308569871722417851668285910634111778536354810522065320653695291905284082855221040801927791 has 235 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 30, 2022 08:39:27 UTC 2022 年 8 月 30 日 (火) 17 時 39 分 27 秒 (日本時間)

19×10277+269

c272

composite cofactor 合成数の残り
86324947091894269204801847899077958696693209316188290157229532582215425268493302547131149403040273768211156272688694975797210886393643576106345065347984948563961788034998859602014733396759452354535649022756164737076928249430028178280098101487242535845298425342096678488641<272>

ECM

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

19×10278+269

c216

name 名前Dmitry Domanov
date 日付August 27, 2022 22:17:19 UTC 2022 年 8 月 28 日 (日) 7 時 17 分 19 秒 (日本時間)
composite number 合成数
525860939164177391824395399507207854983249377469893250588956106197644205626368828538739951097215232375532333322413424637664046176467467680365660366412244315875152677106163542570483798194927117070129590121106363107007<216>
prime factors 素因数
229981010806195663302047230710794152385989<42>
2286540690123841979313351913394907022408319248409613201817983874562874878140316822964566981301010393120320966894255203140568577212026062911506507227801548310547908415348637363<175>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 18:20:22 2022 
Input number is 525860939164177391824395399507207854983249377469893250588956106197644205626368828538739951097215232375532333322413424637664046176467467680365660366412244315875152677106163542570483798194927117070129590121106363107007 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3256358448
Step 1 took 0ms
Step 2 took 5360ms
********** Factor found in step 2: 229981010806195663302047230710794152385989
Found prime factor of 42 digits: 229981010806195663302047230710794152385989
Prime cofactor 2286540690123841979313351913394907022408319248409613201817983874562874878140316822964566981301010393120320966894255203140568577212026062911506507227801548310547908415348637363 has 175 digits

ECM

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

19×10279+269

c215

composite cofactor 合成数の残り
82403608117876148902309312764071253943800222692529466996100768152478192282443444287655661270316307355696348671103612721539022125890761633337255175332961221986636236049029152588247107960035432028481785371664673967551<215>

ECM

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

19×10281+269

c277

composite cofactor 合成数の残り
3801474972289248228312585283089838857476700959972469318095421023357062540265623061747958207784620432727898424588740431287339487721235839505728222550349535619820490350255899288924102551790094556687994942037510554094988855676002288888088578368406941893454660408238396497841162371<277>

ECM

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

19×10283+269

c243

composite cofactor 合成数の残り
107266002314252200032484825708689807824881331590190270449526544168605213955035177713912977443560467478723025492201760212981975710362737940582806345207392501074567627349367757568418257221602908529429877267634078650158954868119555626650452761697<243>

ECM

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

19×10284+269

c233

composite cofactor 合成数の残り
11574436772849592306573554053306102834419279652174418321104886471364975973850786456459343339198916664161212526098376029630063629319374533504594927481868223410119486304900899838760236474553700973436032457913332763553887133622338018209<233>

ECM

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

19×10285+269

c231

composite cofactor 合成数の残り
580073346142020994513793035395874103634478621743882461281718366966591997391355124991260674574264854558148930473423053007634044193034705174387601803656638774326494024576213821649809749828203539895145593798089366136052965744252632609<231>

ECM

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

19×10286+269

c226

composite cofactor 合成数の残り
9094002335394004645747816149640580555545607147585483705733052277854089397688716759286155748049858457834704963205812969871478196062554253959860602101908270948899443550977572368377449431441097356718198564095439808933779829305767<226>

ECM

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

19×10288+269

c250

composite cofactor 合成数の残り
1370492877259221560169384846052659476959257177633456947236444756676012357717241111655389179310288061168850223302100110720450861879601222167204963928329661862980677095999577031679041938412390709388810606692950694277477323117150980763561066665105486163<250>

ECM

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

19×10289+269

c236

composite cofactor 合成数の残り
10289563101558305764090984605095253689473298093197930768355007248165976424080935104012085370710290348146429467378570251187610558398946628774745469898461224833072079929569697439764898418851072508517363464486261666331141064169805322690779<236>

ECM

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

19×10290+269

c243

composite cofactor 合成数の残り
910329667170678111100515750687848278258057734557111086433336800132738467318834501309332574218914417300629712463253912564642666536882886308406062072084081253190813280572232176463491018230859035309513775172004363898249161192659439561452690643197<243>

ECM

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

19×10291+269

c279

composite cofactor 合成数の残り
103518856458207431546187928858515165309899179801387658485998102883775387020134901185074292194340678012068472948923002180028923300645723573183016588184084903830289948272243600507829428678391316326274021194102421463381680376560717944229497842529523124134183521830505424824489658243<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 12, 2022 22:13:39 UTC 2022 年 8 月 13 日 (土) 7 時 13 分 39 秒 (日本時間)

19×10292+269

c242

composite cofactor 合成数の残り
31189777390567385921786713382535815546693435183766214382574540107029313485195008197462214546312651107411385823461028240370040190374728013973080388654700957825393900106158442032564988876942070505134941110154932535387793733074526805809907878327<242>

ECM

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

19×10293+269

c244

composite cofactor 合成数の残り
3742449685190373349964571016210552927041991206352428020694002404317361138473303536222754422754254233985868162422789881824934969592259842840584942578946962782375182723716223847162137255579407429586563618294088607326804085672842667860809007946573<244>

ECM

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

19×10294+269

c205

composite cofactor 合成数の残り
8706146368544863851644244475422943448742408517659358863614396950622741838388544880933165055687054128997710815511363388207550977846267700190043275675624159369030385236230234379588174289944184448719500928829<205>

ECM

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

19×10295+269

c276

composite cofactor 合成数の残り
693574434896748616266152130350281692476693503609286626080328863545950255685150715839562763520224437470222993251962490288894527163049038676992095919399376341662142615647913631847523713189641203475625833306921580334876172835634119681664969353858824444727249551898807625372971779<276>

ECM

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

19×10296+269

c234

composite cofactor 合成数の残り
644395047425001232654678684522184613312465296383463206369676975378555133709468999184615199335765744918935297388501939260022136268802528890124451411473001463729240987655088344470282261213016162516760619558132026562507583600664870048349<234>

ECM

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

19×10297+269

c290

composite cofactor 合成数の残り
58882631896460135463399526027043726744498225361149959702276273007326976624717006197248250979743463496366262912178655706662644796962985082171983436724726863149827718406420036577023190032035684709588101300217146130273409972611704489987247075620429092366314902443534391674883428039228749833029<290>

ECM

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

19×10298+269

c267

composite cofactor 合成数の残り
146123068433308296615224024593371305296526158642920291022433172154325223808708081052620205912129403721352041972260575308401616686385080901602692052775038066110574814976552633388985633505002464209103002884753098986914379159634663968357247543128717576400644391192183187<267>

ECM

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

19×10299+269

c253

composite cofactor 合成数の残り
7237783955343727838941332425683127412890303711167159814053362090057628668091156043271118314422237933103548477807827807043916445307878142549726752325325083897078366617264648501667964311791090854517726524067347094579979537000451514622650532743116333385549<253>

ECM

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

19×10300+269

c292

composite cofactor 合成数の残り
4018662514740226732372238720460461092089787338644603299127928956540898016611578058332960031311996977376949102663350349606781550693157502144238815532709814493627090981014661869793117066742730895504613322831307591338812894732834686097835639275937168374020605571907472177178197391542761371010643<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 30, 2022 22:46:37 UTC 2022 年 5 月 31 日 (火) 7 時 46 分 37 秒 (日本時間)
4511e63584Dmitry DomanovJune 1, 2022 23:53:19 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 19 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 1, 2022 23:53:19 UTC 2022 年 6 月 2 日 (木) 8 時 53 分 19 秒 (日本時間)