Table of contents 目次

67×10132-49

c91

name 名前Dmitry Domanov
date 日付November 20, 2021 15:01:47 UTC 2021 年 11 月 21 日 (日) 0 時 1 分 47 秒 (日本時間)
composite number 合成数
1998351993284060348091844420576644438933298418732517884092530397156624089552094782711149051<91>
prime factors 素因数
622886275538672025358131235302083445638273<42>
3208213235322749127583163155065198232476386904187<49>
factorization results 素因数分解の結果
PRP42 = 622886275538672025358131235302083445638273
PRP49 = 3208213235322749127583163155065198232476386904187
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10133-49

c116

name 名前Bob Backstrom
date 日付November 21, 2021 09:29:09 UTC 2021 年 11 月 21 日 (日) 18 時 29 分 9 秒 (日本時間)
composite number 合成数
40968095239325014550766210548786441725774630327711172479600703732894325760774626366857731640252192238505320029163077<116>
prime factors 素因数
162760510356926144728126195102962853<36>
251707832259089802462866528407707250315910574527346812167340734205986777330155809<81>
factorization results 素因数分解の結果
CADO

STA:Sun 21 Nov 2021 18:22:42 AEDT (40,968,095,239,325,014,550,766,210,548,786,441,725,774,630,327,711,172,479,600,703,732,894,325,760,774,626,366,857,731,640,252,192,238,505,320,029,163,077 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 40968095239325014550766210548786441725774630327711172479600703732894325760774626366857731640252192238505320029163077 2>&1 | tee -a log71

Debug:root: Looking for parameter file for c116 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.w48yc9n7
Info:Database: Opened connection to database /tmp/cado.w48yc9n7/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4096809523932501455076621054878644172577463032771117247960070373289432576077462636685
7731640252192238505320029163077
Debug:root: Root parameter dictionary:
N = 40968095239325014550766210548786441725774630327711172479600703732894325760774626366857731640252192238505320029163077
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 40968095239325014550766210548786441725774630327711172479600703732894325760774626366857731640252192238505320029163077
skew: 12965520.407
c0: 99031395652288757741527522326695
c1: -25860867761322846565130063
c2: -6955702474480781348
c3: 221382447458
c4: 7260
Y0: -8663611001893371777490864794
Y1: 467864917761680699
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.76e-09
# f(x) = 7260*x^4+221382447458*x^3-6955702474480781348*x^2-25860867761322846565130063*x+99031395652288757741527522326695
# g(x) = 467864917761680699*x-8663611001893371777490864794
...
Info:Square Root: finished
Info:Square Root: Factors: 162760510356926144728126195102962853 251707832259089802462866528407707250315910574527346812167340734205986777330155809
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 318.12/46.7525
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56338/39.840/44.176/49.020/0.612
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56338/38.060/43.427/44.990/0.998
Info:Polynomial Selection (size optimized): Total time: 1115.62
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 149.55
Info:Polynomial Selection (root optimized): Rootsieve time: 148.93
Info:Generate Factor Base: Total cpu/real time for makefb: 2.83/0.323734
Info:Generate Free Relations: Total cpu/real time for freerel: 53.37/3.52515
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6783784
Info:Lattice Sieving: Average J: 3975.25 for 105160 special-q, max bucket fill: 0.683615
Info:Lattice Sieving: Total CPU time: 81604.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.15/20.4877
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.5/29.6763
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.86/27.4164
Info:Filtering - Merging: Total cpu/real time for merge: 160.64/127.102
Info:Filtering - Merging: Total cpu/real time for replay: 17.45/13.1856
Info:Linear Algebra: Total cpu/real time for bwc: 5534.17/0.000329256
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 225.43
Info:Linear Algebra: Lingen CPU time 104.58, WCT time 10.54
Info:Linear Algebra: Mksol: WCT time 131.09
Info:Quadratic Characters: Total cpu/real time for characters: 16.95/4.01964
Info:Square Root: Total cpu/real time for sqrt: 318.12/46.7525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 89147.4/6103.59
Info:root: Cleaning up computation data in /tmp/cado.w48yc9n7
162760510356926144728126195102962853 251707832259089802462866528407707250315910574527346812167340734205986777330155809

END:Sun 21 Nov 2021 20:04:27 AEDT (40,968,095,239,325,014,550,766,210,548,786,441,725,774,630,327,711,172,479,600,703,732,894,325,760,774,626,366,857,731,640,252,192,238,505,320,029,163,077 - C116)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10135-49

c104

name 名前ivelive
date 日付November 21, 2021 14:43:54 UTC 2021 年 11 月 21 日 (日) 23 時 43 分 54 秒 (日本時間)
composite number 合成数
73216519938074223084203253872812071724841930296553362882902646488159083031003285470470728017873843884169<104>
prime factors 素因数
641542683577750591605287587538382201743<39>
114125718852814071452220430106085391528557373903662477733694676583<66>
factorization results 素因数分解の結果
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c104: 73216519938074223084203253872812071724841930296553362882902646488159083031003285470470728017873843884169
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 0, 2249374944
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, n = 104 digits, 346 bits
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 155248 primes (max prime = 4408777)
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 661316550 (150 * pmax)
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 32 to 31 bits
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 7528993194177839
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, allocating 11 large prime slices of factor base
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 26 blocks of size 32768
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 14 factors
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 1
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 19 bits, starting at offset 30
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 104 bits
11/21/21 22:45:39 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 439867981 sieve locations out of 8761761595392
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 2 failures, 1917833 attempts, 53943685 outside range, 9553656 prp, 1790685 useful
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, 166024 relations found: 38812 full + 127212 from 2361633 partial, using 5142072 polys (2503 A polys)
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.47 rels/poly and 808.29 rels/sec
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 439867981 sieve locations out of 8761761595392
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 23:35:09 v1.34.5 @ DESKTOP-RJPVCOL, begin with 2400445 relations
11/21/21 23:35:10 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 437779 relations in 12 passes
11/21/21 23:35:10 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 71844
11/21/21 23:35:11 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 213013
11/21/21 23:35:12 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 304631
11/21/21 23:35:12 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 374008
11/21/21 23:35:12 v1.34.5 @ DESKTOP-RJPVCOL, recovered 437775 relations
11/21/21 23:35:12 v1.34.5 @ DESKTOP-RJPVCOL, recovered 419866 polynomials
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 166020 cycles
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, found 166020 cycles in 6 passes
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 38812
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 27650
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 27393
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 22848
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 17721
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 12160
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 7936
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 11500
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 21 relations
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 155248 x 166020 (53.4 MB) with weight 12664883 (76.29/col)
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 12664883 (76.29/col)
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 146744 x 146808 (43.9 MB) with weight 10332467 (70.38/col)
11/21/21 23:35:13 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 10332467 (70.38/col)
11/21/21 23:35:14 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 23:35:14 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 146696 x 146808 (38.7 MB) with weight 9260988 (63.08/col)
11/21/21 23:35:14 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 8669684 (59.05/col)
11/21/21 23:35:14 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 23:35:14 v1.34.5 @ DESKTOP-RJPVCOL, using block size 58723 for processor cache size 12288 kB
11/21/21 23:35:15 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 23:35:15 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 30.0 MB
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 2321 iterations (dim = 146695)
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, recovered 16 nontrivial dependencies
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, prp39 = 641542683577750591605287587538382201743
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, prp66 = 114125718852814071452220430106085391528557373903662477733694676583
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 57.7570 seconds.
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.1740 seconds.
11/21/21 23:36:06 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 3027.7088 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10137-49

c95

name 名前Dmitry Domanov
date 日付November 20, 2021 15:54:00 UTC 2021 年 11 月 21 日 (日) 0 時 54 分 0 秒 (日本時間)
composite number 合成数
57696650172933914791527326943497661532236171710155403600405322213837673152359442586099194843787<95>
prime factors 素因数
48571061134227745206457712377991871679887253007<47>
1187881195625668962214819309860305524539728281541<49>
factorization results 素因数分解の結果
N=57696650172933914791527326943497661532236171710155403600405322213837673152359442586099194843787
  ( 95 digits)
Divisors found:
p47 factor: 48571061134227745206457712377991871679887253007
p49 factor: 1187881195625668962214819309860305524539728281541
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 57696650172933914791527326943497661532236171710155403600405322213837673152359442586099194843787
skew: 204861.05
c0: 14775502119472649661935019
c1: -161145513693907657915
c2: -770213470130860
c3: 7204192956
c4: 18480
Y0: -42034682011649398370096
Y1: 4361578525133
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130944 x 131169
Total sieving time: 1.66 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.71 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10138-49

c129

name 名前Dmitry Domanov
date 日付November 22, 2021 14:17:41 UTC 2021 年 11 月 22 日 (月) 23 時 17 分 41 秒 (日本時間)
composite number 合成数
461804872024896197198516094276553917104485441886859966939010945299222641016408115767566309132115660677146446314033098854352303687<129>
prime factors 素因数
28097330948058103458103917031863006517452370789189<50>
16435898230995959106793490458631696666451641445780581886591589936605224636909083<80>
factorization results 素因数分解の結果
Number: 125
N=461804872024896197198516094276553917104485441886859966939010945299222641016408115767566309132115660677146446314033098854352303687
  ( 129 digits)
SNFS difficulty: 139 digits.
Divisors found:
p50 factor: 28097330948058103458103917031863006517452370789189
p80 factor: 16435898230995959106793490458631696666451641445780581886591589936605224636909083
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.87 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 461804872024896197198516094276553917104485441886859966939010945299222641016408115767566309132115660677146446314033098854352303687
m: 10000000000000000000000000000000000
deg: 4
c4: 1675
c0: -1
skew: 0.16
# Murphy_E = 4.957e-09
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [730000, 1830001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214050 x 214275
Total sieving time: 4.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,100000
total time: 4.87 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10139-49

c113

name 名前Bob Backstrom
date 日付November 23, 2021 13:48:00 UTC 2021 年 11 月 23 日 (火) 22 時 48 分 0 秒 (日本時間)
composite number 合成数
15694532051015184782967460764071223582140093595908729862232971230325231696783024831793943216970349465045680696089<113>
prime factors 素因数
36705713257766889153908658049426741188927042542659<50>
427577362161576816828040674027563731369881016454382926196134771<63>
factorization results 素因数分解の結果
CADO

STA:Tue 23 Nov 2021 23:34:58 AEDT (15,694,532,051,015,184,782,967,460,764,071,223,582,140,093,595,908,729,862,232,971,230,325,231,696,783,024,831,793,943,216,970,349,465,045,680,696,089 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 15694532051015184782967460764071223582140093595908729862232971230325231696783024831793943216970349465045680696089 2>&1 | tee -a log92

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.muos6k7w
Info:Database: Opened connection to database /tmp/cado.muos6k7w/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1569453205101518478296746076407122358214009359590872986223297123032523169678302483179
3943216970349465045680696089
Debug:root: Root parameter dictionary:
N = 15694532051015184782967460764071223582140093595908729862232971230325231696783024831793943216970349465045680696089
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 15694532051015184782967460764071223582140093595908729862232971230325231696783024831793943216970349465045680696089
skew: 5885704.977
c0: 5255083857144485366687408671545
c1: 4008404872152697217769182
c2: -597916061181478373
c3: -50467759854
c4: 8820
Y0: -1157990437098113444344483102
Y1: 2061651117355464533
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 3.55e-09
# f(x) = 8820*x^4-50467759854*x^3-597916061181478373*x^2+4008404872152697217769182*x+5255083857144485366687408671545
# g(x) = 2061651117355464533*x-1157990437098113444344483102
...
Info:Square Root: finished
Info:Square Root: Factors: 427577362161576816828040674027563731369881016454382926196134771 36705713257766889153908658049426741188927042542659
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 236.45/34.3617
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56132/37.360/42.852/52.990/0.656
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56132/36.230/42.000/44.340/1.027
Info:Polynomial Selection (size optimized): Total time: 1135.05
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 160.93
Info:Polynomial Selection (root optimized): Rootsieve time: 160.29
Info:Generate Factor Base: Total cpu/real time for makefb: 1.86/0.583652
Info:Generate Free Relations: Total cpu/real time for freerel: 40.95/6.34674
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6793729
Info:Lattice Sieving: Average J: 4096 for 55385 special-q, max bucket fill: 0.716511
Info:Lattice Sieving: Total CPU time: 49763.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.12/18.5758
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 88.96/27.9951
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.55/29.7702
Info:Filtering - Merging: Total cpu/real time for merge: 107.81/82.97
Info:Filtering - Merging: Total cpu/real time for replay: 11.85/9.13015
Info:Linear Algebra: Total cpu/real time for bwc: 3077.12/0.000322342
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 124.09
Info:Linear Algebra: Lingen CPU time 74.91, WCT time 7.66
Info:Linear Algebra: Mksol: WCT time 74.41
Info:Quadratic Characters: Total cpu/real time for characters: 13.15/3.01153
Info:Square Root: Total cpu/real time for sqrt: 236.45/34.3617
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 54735.7/4198.04
Info:root: Cleaning up computation data in /tmp/cado.muos6k7w
427577362161576816828040674027563731369881016454382926196134771 36705713257766889153908658049426741188927042542659

END:Wed 24 Nov 2021 00:44:57 AEDT (15,694,532,051,015,184,782,967,460,764,071,223,582,140,093,595,908,729,862,232,971,230,325,231,696,783,024,831,793,943,216,970,349,465,045,680,696,089 - C113)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10140-49

c136

name 名前NyanCat
date 日付November 26, 2021 00:58:12 UTC 2021 年 11 月 26 日 (金) 9 時 58 分 12 秒 (日本時間)
composite number 合成数
9429554193196084060957141972493849678832198972037853326803015205507985565745103668800279227395810463145924462233931758175564225115828703<136>
prime factors 素因数
1969670593325738996977367320022967533199662776732737167967613<61>
4787376236995303979422821445772641352514047455534755935109426680038475137931<76>
factorization results 素因数分解の結果
Number: 74444_140
N=9429554193196084060957141972493849678832198972037853326803015205507985565745103668800279227395810463145924462233931758175564225115828703
  ( 136 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1969670593325738996977367320022967533199662776732737167967613 (pp61)
 r2=4787376236995303979422821445772641352514047455534755935109426680038475137931 (pp76)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.64 hours.
Scaled time: 15.59 units (timescale=3.361).
Factorization parameters were as follows:
n: 9429554193196084060957141972493849678832198972037853326803015205507985565745103668800279227395810463145924462233931758175564225115828703
m: 100000000000000000000000000000000000
deg: 4
c4: 67
c0: -4
skew: 0.49
# Murphy_E = 4.286e-09
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163517 x 163742
Total sieving time: 4.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 4.64 hours.
 --------- CPU info (if available) ----------
[    0.092650] smpboot: CPU0: Intel(R) Core(TM) i5-9400F CPU @ 2.90GHz (family: 0x6, model: 0x9e, stepping: 0xa)
[    0.078524] Memory: 16202444K/16691600K available (18438K kernel code, 1746K rwdata, 4144K rodata, 1168K init, 992K bss, 488896K reserved, 0K cma-reserved)
[    0.088863] Calibrating delay loop (skipped), value calculated using timer frequency.. 5799.77 BogoMIPS (lpj=2899886)
[    0.094294] smpboot: Total of 6 processors activated (34798.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62109509NyanCatNovember 24, 2021 13:20:57 UTC 2021 年 11 月 24 日 (水) 22 時 20 分 57 秒 (日本時間)
1600NyanCatNovember 25, 2021 13:34:32 UTC 2021 年 11 月 25 日 (木) 22 時 34 分 32 秒 (日本時間)

67×10142-49

c123

name 名前Bob Backstrom
date 日付November 23, 2021 16:41:34 UTC 2021 年 11 月 24 日 (水) 1 時 41 分 34 秒 (日本時間)
composite number 合成数
437819556937091824172025854252955892251750848922259155228247340913196528504842344621535872550819699278248945314691449239351<123>
prime factors 素因数
7188261083301503320502572135527979069394171<43>
60907575818880142895732286528398387350022599713048419635263216149521529292206581<80>
factorization results 素因数分解の結果
CADO

STA:Wed 24 Nov 2021 00:50:04 AEDT (437,819,556,937,091,824,172,025,854,252,955,892,251,750,848,922,259,155,228,247,340,913,196,528,504,842,344,621,535,872,550,819,699,278,248,945,314,691,449,239,351 - C123)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 437819556937091824172025854252955892251750848922259155228247340913196528504842344621535872550819699278248945314691449239351 2>&1 | tee -a log93

Debug:root: Looking for parameter file for c123 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.5tzi624v
Info:Database: Opened connection to database /tmp/cado.5tzi624v/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4378195569370918241720258542529558922517508489222591552282473409131965285048423446215
35872550819699278248945314691449239351
Debug:root: Root parameter dictionary:
N = 437819556937091824172025854252955892251750848922259155228247340913196528504842344621535872550819699278248945314691449239351
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 437819556937091824172025854252955892251750848922259155228247340913196528504842344621535872550819699278248945314691449239351
skew: 26830.611
c0: 1560801089502413127845491645
c1: 108579817925162720576561
c2: -12101062118996826649
c3: -423663684375395
c4: 8317888338
c5: -62400
Y0: -373053624042488036656482
Y1: 81861287391026551
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 7.67e-10
# f(x) = -62400*x^5+8317888338*x^4-423663684375395*x^3-12101062118996826649*x^2+108579817925162720576561*x+1560801089502413127845491645
# g(x) = 81861287391026551*x-373053624042488036656482
...
Info:Square Root: finished
Info:Square Root: Factors: 7188261083301503320502572135527979069394171 60907575818880142895732286528398387350022599713048419635263216149521529292206581
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 539.1/76.2668
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21819/36.700/43.630/48.650/0.901
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21819/35.570/39.345/44.480/1.209
Info:Polynomial Selection (size optimized): Total time: 1774.18
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1159.09
Info:Polynomial Selection (root optimized): Rootsieve time: 1158.22
Info:Generate Factor Base: Total cpu/real time for makefb: 11.54/1.06818
Info:Generate Free Relations: Total cpu/real time for freerel: 148.22/9.68195
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13069363
Info:Lattice Sieving: Average J: 3792.65 for 191860 special-q, max bucket fill: 0.717626
Info:Lattice Sieving: Total CPU time: 132240s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.68/39.3088
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188.48/56.2807
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.02/51.3044
Info:Filtering - Merging: Total cpu/real time for merge: 240.51/196.469
Info:Filtering - Merging: Total cpu/real time for replay: 21.42/16.585
Info:Linear Algebra: Total cpu/real time for bwc: 9715.52/0.000332355
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 407.02
Info:Linear Algebra: Lingen CPU time 142.93, WCT time 14.31
Info:Linear Algebra: Mksol: WCT time 227.09
Info:Quadratic Characters: Total cpu/real time for characters: 23.73/5.55079
Info:Square Root: Total cpu/real time for sqrt: 539.1/76.2668
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 146232/10036.6
Info:root: Cleaning up computation data in /tmp/cado.5tzi624v
7188261083301503320502572135527979069394171 60907575818880142895732286528398387350022599713048419635263216149521529292206581

END:Wed 24 Nov 2021 03:37:21 AEDT (437,819,556,937,091,824,172,025,854,252,955,892,251,750,848,922,259,155,228,247,340,913,196,528,504,842,344,621,535,872,550,819,699,278,248,945,314,691,449,239,351 - C123)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10145-49

c124

name 名前Bob Backstrom
date 日付November 21, 2021 12:08:55 UTC 2021 年 11 月 21 日 (日) 21 時 8 分 55 秒 (日本時間)
composite number 合成数
2472653164317713138950295761625703696971046273638396041385822118719991243249171798260399945806049620709584229552286146331803<124>
prime factors 素因数
36594071461310322561441013459466430332304733781<47>
67569774708779424203427942292696077241577493453102248998291172788637235535663<77>
factorization results 素因数分解の結果
CADO

STA:Sun 21 Nov 2021 20:32:53 AEDT (2,472,653,164,317,713,138,950,295,761,625,703,696,971,046,273,638,396,041,385,822,118,719,991,243,249,171,798,260,399,945,806,049,620,709,584,229,552,286,146,331,803 - C124)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2472653164317713138950295761625703696971046273638396041385822118719991243249171798260399945806049620709584229552286146331803 2>&1 | tee -a log72

Debug:root: Looking for parameter file for c124 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.wwi2pvmh
Info:Database: Opened connection to database /tmp/cado.wwi2pvmh/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2472653164317713138950295761625703696971046273638396041385822118719991243249171798260
399945806049620709584229552286146331803
Debug:root: Root parameter dictionary:
N = 2472653164317713138950295761625703696971046273638396041385822118719991243249171798260399945806049620709584229552286146331803
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 2472653164317713138950295761625703696971046273638396041385822118719991243249171798260399945806049620709584229552286146331803
skew: 24027.98
c0: 807581534990086991248760660
c1: -971040212480957250228601
c2: 79771117622207417484
c3: 4741486767878267
c4: -64363141090
c5: 273000
Y0: -629425537080866440574614
Y1: 228233021228356507
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 7.41e-10
# f(x) = 273000*x^5-64363141090*x^4+4741486767878267*x^3+79771117622207417484*x^2-971040212480957250228601*x+807581534990086991248760660
# g(x) = 228233021228356507*x-629425537080866440574614
...
Info:Square Root: finished
Info:Square Root: Factors: 67569774708779424203427942292696077241577493453102248998291172788637235535663 36594071461310322561441013459466430332304733781
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 529/73.5412
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21765/36.460/43.919/47.820/0.884
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21765/35.590/39.638/44.700/1.232
Info:Polynomial Selection (size optimized): Total time: 1771.57
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1085.23
Info:Polynomial Selection (root optimized): Rootsieve time: 1084.38
Info:Generate Factor Base: Total cpu/real time for makefb: 11.61/1.09018
Info:Generate Free Relations: Total cpu/real time for freerel: 148.26/9.96622
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13070073
Info:Lattice Sieving: Average J: 3786.39 for 166792 special-q, max bucket fill: 0.731812
Info:Lattice Sieving: Total CPU time: 118564s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.68/41.2916
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.87/56.9162
Info:Filtering - Singleton removal: Total cpu/real time for purge: 148.19/54.0917
Info:Filtering - Merging: Total cpu/real time for merge: 214.42/173.756
Info:Filtering - Merging: Total cpu/real time for replay: 19.2/14.7848
Info:Linear Algebra: Total cpu/real time for bwc: 7818.26/0.000322819
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 323.86
Info:Linear Algebra: Lingen CPU time 128.5, WCT time 12.86
Info:Linear Algebra: Mksol: WCT time 175.79
Info:Quadratic Characters: Total cpu/real time for characters: 21.4/5.0659
Info:Square Root: Total cpu/real time for sqrt: 529/73.5412
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 130555/8974.86
Info:root: Cleaning up computation data in /tmp/cado.wwi2pvmh
67569774708779424203427942292696077241577493453102248998291172788637235535663 36594071461310322561441013459466430332304733781

END:Sun 21 Nov 2021 23:02:28 AEDT (2,472,653,164,317,713,138,950,295,761,625,703,696,971,046,273,638,396,041,385,822,118,719,991,243,249,171,798,260,399,945,806,049,620,709,584,229,552,286,146,331,803 - C124)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10146-49

c143

name 名前Mitchell Dickerman
date 日付November 27, 2021 21:50:55 UTC 2021 年 11 月 28 日 (日) 6 時 50 分 55 秒 (日本時間)
composite number 合成数
24318713068223064303032942782060775004718556266968654267752660539802836941214048230904365753444546074887117615459442194056070967086255208560187<143>
prime factors 素因数
13995846367580426113128102316531751824260948978707<50>
1737566448611084226183676186443983563791676789547902292261984289028977594820202396765485187641<94>
factorization results 素因数分解の結果
P94 = 1737566448611084226183676186443983563791676789547902292261984289028977594820202396765485187641
P50 = 13995846367580426113128102316531751824260948978707
software ソフトウェア
YAFU
execution environment 実行環境
Ubuntu 20

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10149-49

c116

name 名前Bob Backstrom
date 日付November 21, 2021 07:19:01 UTC 2021 年 11 月 21 日 (日) 16 時 19 分 1 秒 (日本時間)
composite number 合成数
75307770257578465252349432110836215284319205569451563913493908322267270323771130191142314875531871858912841043636939<116>
prime factors 素因数
9287857448264445894184271310189798992467999375157890151<55>
8108196177327277823225978270140955575122410760637744630638589<61>
factorization results 素因数分解の結果
CADO

STA:Sun 21 Nov 2021 16:19:46 AEDT (75,307,770,257,578,465,252,349,432,110,836,215,284,319,205,569,451,563,913,493,908,322,267,270,323,771,130,191,142,314,875,531,871,858,912,841,043,636,939 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 75307770257578465252349432110836215284319205569451563913493908322267270323771130191142314875531871858912841043636939 2>&1 | tee -a log70

Debug:root: Looking for parameter file for c116 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.okwsskhp
Info:Database: Opened connection to database /tmp/cado.okwsskhp/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7530777025757846525234943211083621528431920556945156391349390832226727032377113019114
2314875531871858912841043636939
Debug:root: Root parameter dictionary:
N = 75307770257578465252349432110836215284319205569451563913493908322267270323771130191142314875531871858912841043636939
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 75307770257578465252349432110836215284319205569451563913493908322267270323771130191142314875531871858912841043636939
skew: 2713580.363
c0: -5669084053676044405918749372012
c1: 2984997910514418077981531
c2: -5300597850578820817
c3: -1092792558454
c4: 250920
Y0: -4953037879142742954513427018
Y1: 3004142826922529333
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.72e-09
# f(x) = 250920*x^4-1092792558454*x^3-5300597850578820817*x^2+2984997910514418077981531*x-5669084053676044405918749372012
# g(x) = 3004142826922529333*x-4953037879142742954513427018
...
Info:Square Root: finished
Info:Square Root: Factors: 9287857448264445894184271310189798992467999375157890151 8108196177327277823225978270140955575122410760637744630638589
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 320.34/47.5061
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56583/38.820/44.279/48.360/0.611
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56583/38.040/43.534/45.520/0.993
Info:Polynomial Selection (size optimized): Total time: 1134.23
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 162.94
Info:Polynomial Selection (root optimized): Rootsieve time: 162.27
Info:Generate Factor Base: Total cpu/real time for makefb: 1.88/0.617607
Info:Generate Free Relations: Total cpu/real time for freerel: 41.35/6.98868
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6784676
Info:Lattice Sieving: Average J: 4096 for 90887 special-q, max bucket fill: 0.708493
Info:Lattice Sieving: Total CPU time: 75305.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.99/20.9668
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.83/33.2108
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.66/32.5984
Info:Filtering - Merging: Total cpu/real time for merge: 161.66/131.169
Info:Filtering - Merging: Total cpu/real time for replay: 16.47/12.6404
Info:Linear Algebra: Total cpu/real time for bwc: 4870.22/0.000328541
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 200.72
Info:Linear Algebra: Lingen CPU time 101.03, WCT time 10.18
Info:Linear Algebra: Mksol: WCT time 110.66
Info:Quadratic Characters: Total cpu/real time for characters: 16.39/3.91065
Info:Square Root: Total cpu/real time for sqrt: 320.34/47.5061
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 82212.1/6111.2
Info:root: Cleaning up computation data in /tmp/cado.okwsskhp
9287857448264445894184271310189798992467999375157890151 8108196177327277823225978270140955575122410760637744630638589

END:Sun 21 Nov 2021 18:01:39 AEDT (75,307,770,257,578,465,252,349,432,110,836,215,284,319,205,569,451,563,913,493,908,322,267,270,323,771,130,191,142,314,875,531,871,858,912,841,043,636,939 - C116)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10150-49

c150

name 名前Mitchell Dickerman
date 日付November 28, 2021 01:03:31 UTC 2021 年 11 月 28 日 (日) 10 時 3 分 31 秒 (日本時間)
composite number 合成数
265873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<150>
prime factors 素因数
22931349661463224637829798101329918589581128106778349050209<59>
11594302986876647853923635406657855923741017373468719927824398239117131524069025929705718497<92>
factorization results 素因数分解の結果
P92 = 11594302986876647853923635406657855923741017373468719927824398239117131524069025929705718497
P59 = 22931349661463224637829798101329918589581128106778349050209

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10153-49

c99

name 名前Dmitry Domanov
date 日付November 20, 2021 20:53:42 UTC 2021 年 11 月 21 日 (日) 5 時 53 分 42 秒 (日本時間)
composite number 合成数
125891343742397707820986635098164367886510500344434065411514563574566262411994101575688778129610527<99>
prime factors 素因数
82531796636381891150851200833201082963413<41>
1525367783971177275202223750037074966035313258143557529379<58>
factorization results 素因数分解の結果
N=125891343742397707820986635098164367886510500344434065411514563574566262411994101575688778129610527
  ( 99 digits)
Divisors found:
p41 factor: 82531796636381891150851200833201082963413
p58 factor: 1525367783971177275202223750037074966035313258143557529379
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 125891343742397707820986635098164367886510500344434065411514563574566262411994101575688778129610527
skew: 531876.12
c0: 142082436894493981153155940
c1: -450182691792811925221
c2: -6432565012301096
c3: 4050275222
c4: 8820
Y0: -345646024506960406545183
Y1: 1766791509121
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [870000, 1170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147286 x 147514
Total sieving time: 2.79 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1740000,1740000,26,26,52,52,2.5,2.5,100000
total time: 2.86 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10157-49

c83

name 名前Dmitry Domanov
date 日付November 20, 2021 14:25:09 UTC 2021 年 11 月 20 日 (土) 23 時 25 分 9 秒 (日本時間)
composite number 合成数
10674905068250632024945035248609204916105125551493138169910816217604137281986910561<83>
prime factors 素因数
7868477005549891597428191540485141733<37>
1356667250945929669542684872072828239646336717<46>
factorization results 素因数分解の結果
PRP46 = 1356667250945929669542684872072828239646336717
PRP37 = 7868477005549891597428191540485141733
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10158-49

c111

name 名前Eric Jeancolas
date 日付November 22, 2021 07:25:57 UTC 2021 年 11 月 22 日 (月) 16 時 25 分 57 秒 (日本時間)
composite number 合成数
152649373009005121276841413669833385477750528633818423456178732844230701315321839318611798571084857988059744643<111>
prime factors 素因数
5767214610618233835103004433645761171505336259537<49>
26468474526326221586733110146763915991082892021145220646437139<62>
factorization results 素因数分解の結果
152649373009005121276841413669833385477750528633818423456178732844230701315321839318611798571084857988059744643=5767214610618233835103004433645761171505336259537*26468474526326221586733110146763915991082892021145220646437139

cado polynomial
n: 152649373009005121276841413669833385477750528633818423456178732844230701315321839318611798571084857988059744643
skew: 27348.751
c0: 47792203951096885126987062
c1: -970016303267976845727
c2: -149174453485209461
c3: -172542499143
c4: 75691114
c5: 3360
Y0: -2130219157976836486969
Y1: 3405687976220587
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.474e-06
# f(x) = 3360*x^5+75691114*x^4-172542499143*x^3-149174453485209461*x^2-970016303267976845727*x+47792203951096885126987062
# g(x) = 3405687976220587*x-2130219157976836486969

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: 26468474526326221586733110146763915991082892021145220646437139 5767214610618233835103004433645761171505336259537
Info:Square Root: Total cpu/real time for sqrt: 147.21/39.7444
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.633514
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.97/22.0319
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 249.76
Info:Polynomial Selection (root optimized): Rootsieve time: 248.79
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.53/98.8785
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.3s
Info:Filtering - Merging: Merged matrix has 296371 rows and total weight 46152120 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.85/13.6441
Info:Filtering - Merging: Total cpu/real time for replay: 9.77/7.89766
Info:Linear Algebra: Total cpu/real time for bwc: 1133.03/293.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 685.96, WCT time 175.5, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 45.03, WCT time 11.47
Info:Linear Algebra: Mksol: CPU time 378.04,  WCT time 96.76, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 10.95/4.21987
Info:Generate Free Relations: Total cpu/real time for freerel: 62.45/16.3667
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11729/32.210/39.151/45.440/1.073
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9127/31.770/34.695/39.620/0.880
Info:Polynomial Selection (size optimized): Total time: 695.67
Info:Square Root: Total cpu/real time for sqrt: 147.21/39.7444
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5360675
Info:Lattice Sieving: Average J: 1908.19 for 97941 special-q, max bucket fill -bkmult 1.0,1s:1.311140
Info:Lattice Sieving: Total time: 9260.07s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.03/78.5932
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19258.9/5425.15
Info:root: Cleaning up computation data in /tmp/cado.44s9czo6
26468474526326221586733110146763915991082892021145220646437139 5767214610618233835103004433645761171505336259537
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10160-49

c156

name 名前Mitchell Dickerman
date 日付November 28, 2021 18:15:31 UTC 2021 年 11 月 29 日 (月) 3 時 15 分 31 秒 (日本時間)
composite number 合成数
143264882655369696098833096839362860439476788095415267161208488465680148961265452293649388494162062945885218741954714612077186842211051837938764740245799773<156>
prime factors 素因数
43630841516361289123200940973070820442663000584789693<53>
3283569091869252002181849111240577897288727694234559968614531908222573573871606738660494098407515574561<103>
factorization results 素因数分解の結果
P103 = 3283569091869252002181849111240577897288727694234559968614531908222573573871606738660494098407515574561
P53 = 43630841516361289123200940973070820442663000584789693

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10164-49

c122

name 名前Bob Backstrom
date 日付November 24, 2021 00:46:22 UTC 2021 年 11 月 24 日 (水) 9 時 46 分 22 秒 (日本時間)
composite number 合成数
10977900662734922570318867844036676487475002824375069098748148209691740105837894468493657698822794901248153334934945873429<122>
prime factors 素因数
6116912790803398770038048485291459929784999<43>
1794679937114663182279730563436505960558201487207527811335037862223947346361571<79>
factorization results 素因数分解の結果
CADO

STA:Wed 24 Nov 2021 09:09:47 AEDT (10,977,900,662,734,922,570,318,867,844,036,676,487,475,002,824,375,069,098,748,148,209,691,740,105,837,894,468,493,657,698,822,794,901,248,153,334,934,945,873,429 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10977900662734922570318867844036676487475002824375069098748148209691740105837894468493657698822794901248153334934945873429 2>&1 | tee -a log96

Debug:root: Looking for parameter file for c122 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.1qnw8zbc
Info:Database: Opened connection to database /tmp/cado.1qnw8zbc/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1097790066273492257031886784403667648747500282437506909874814820969174010583789446849
3657698822794901248153334934945873429
Debug:root: Root parameter dictionary:
N = 10977900662734922570318867844036676487475002824375069098748148209691740105837894468493657698822794901248153334934945873429
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 10977900662734922570318867844036676487475002824375069098748148209691740105837894468493657698822794901248153334934945873429
skew: 566396.254
c0: -456536505925040187475185661125
c1: -17184368815425698656247450
c2: -8060209086530463199
c3: -175790649367001
c4: 57110193
c5: 120
Y0: -619808345940867550028312
Y1: 152915132285951
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.49e-09
# f(x) = 120*x^5+57110193*x^4-175790649367001*x^3-8060209086530463199*x^2-17184368815425698656247450*x-456536505925040187475185661125
# g(x) = 152915132285951*x-619808345940867550028312
...
Info:Square Root: finished
Info:Square Root: Factors: 6116912790803398770038048485291459929784999 1794679937114663182279730563436505960558201487207527811335037862223947346361571
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10312/34.800/43.321/47.400/1.079
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10312/34.500/38.549/43.790/1.171
Info:Polynomial Selection (size optimized): Total time: 1120.86
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 393.38
Info:Polynomial Selection (root optimized): Rootsieve time: 392.52
Info:Generate Factor Base: Total cpu/real time for makefb: 23.96/2.17967
Info:Generate Free Relations: Total cpu/real time for freerel: 147.39/9.93244
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10789774
Info:Lattice Sieving: Average J: 8188.71 for 25079 special-q, max bucket fill: 0.672456
Info:Lattice Sieving: Total CPU time: 75919.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.16/34.4249
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.97/115.293
Info:Filtering - Singleton removal: Total cpu/real time for purge: 170.29/93.3226
Info:Filtering - Merging: Total cpu/real time for merge: 499.72/410.944
Info:Filtering - Merging: Total cpu/real time for replay: 37.97/29.324
Info:Linear Algebra: Total cpu/real time for bwc: 23372.3/0.000341415
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 976.66
Info:Linear Algebra: Lingen CPU time 225.22, WCT time 22.21
Info:Linear Algebra: Mksol: WCT time 525.69
Info:Quadratic Characters: Total cpu/real time for characters: 38.01/9.01178
Info:Square Root: Total cpu/real time for sqrt: 805.59/117.882
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 102784/7361.07
Info:root: Cleaning up computation data in /tmp/cado.1qnw8zbc
6116912790803398770038048485291459929784999 1794679937114663182279730563436505960558201487207527811335037862223947346361571

END:Wed 24 Nov 2021 11:12:29 AEDT (10,977,900,662,734,922,570,318,867,844,036,676,487,475,002,824,375,069,098,748,148,209,691,740,105,837,894,468,493,657,698,822,794,901,248,153,334,934,945,873,429 - C122)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10166-49

c142

name 名前Mitchell Dickerman
date 日付November 29, 2021 18:40:17 UTC 2021 年 11 月 30 日 (火) 3 時 40 分 17 秒 (日本時間)
composite number 合成数
1350497571056651334201766179267327356518266668597815349910716886837837150323656787279774723501208630638278306954581871030257280054125024761473<142>
prime factors 素因数
1957819474725439146958704434811623273041297571436333161<55>
689796780801785888233563559067380199404362472850157778783181532737045140684253777877593<87>
factorization results 素因数分解の結果
P55 = 1957819474725439146958704434811623273041297571436333161
P87 = 689796780801785888233563559067380199404362472850157778783181532737045140684253777877593

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10168-49

c154

name 名前Mitchell Dickerman
date 日付November 30, 2021 03:06:51 UTC 2021 年 11 月 30 日 (火) 12 時 6 分 51 秒 (日本時間)
composite number 合成数
2319554547913217807850110054238010100770171390924066487509855234727062229852195887684918652675910487646659044874076179309518723163678324950337474149332603<154>
prime factors 素因数
14547254392396660073136826577995967446627036001225442534192089<62>
159449644953316253247610533595396286238160879965056382356690591214678662704370687998332275827<93>
factorization results 素因数分解の結果
P93 = 159449644953316253247610533595396286238160879965056382356690591214678662704370687998332275827
P62 = 14547254392396660073136826577995967446627036001225442534192089

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10170-49

c160

name 名前Mitchell Dickerman
date 日付December 1, 2021 02:09:04 UTC 2021 年 12 月 1 日 (水) 11 時 9 分 4 秒 (日本時間)
composite number 合成数
1365031608913807385059673195732093928263902471426574583018984807532871646669413644329362193737067460483483873125220174836696710662857422703305651340425185625647<160>
prime factors 素因数
397602091974727351759786930965386015991557736475045368000461<60>
3433160027237916119365934746389950963283872577726107829445360921558803518210970582588311354617461227<100>
factorization results 素因数分解の結果
P60 = 397602091974727351759786930965386015991557736475045368000461
P100 = 3433160027237916119365934746389950963283872577726107829445360921558803518210970582588311354617461227

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10171-49

c156

name 名前Mitchell Dickerman
date 日付December 1, 2021 14:34:58 UTC 2021 年 12 月 1 日 (水) 23 時 34 分 58 秒 (日本時間)
composite number 合成数
384028297563709923764925589586825590083143697041969305032082510681669085215735306374930635127168496099677057891577726276679118440917507218491084647890021449<156>
prime factors 素因数
410179623598485722339327486036641091976858729837311473314690097<63>
936244209779726506767239181456803725986285452814438120111557700468454636253956966740024683417<93>
factorization results 素因数分解の結果
P93 = 936244209779726506767239181456803725986285452814438120111557700468454636253956966740024683417
P63 = 410179623598485722339327486036641091976858729837311473314690097

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10172-49

c165

name 名前Mitchell Dickerman
date 日付December 1, 2021 17:14:58 UTC 2021 年 12 月 2 日 (木) 2 時 14 分 58 秒 (日本時間)
composite number 合成数
263977195761802152111360452150353272328376750939266716139617913922432628752666916299262811609575861504116814198951026488879175788871461193223857624777288546870893357<165>
prime factors 素因数
648160746743715006761947076920824245568614835893876480470905542466503603<72>
407271185563138776667485034844041285373382559875091888369231408027793891767918083016641148319<93>
factorization results 素因数分解の結果
P72 = 648160746743715006761947076920824245568614835893876480470905542466503603
P93 = 407271185563138776667485034844041285373382559875091888369231408027793891767918083016641148319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10173-49

c171

name 名前Mitchell Dickerman
date 日付December 1, 2021 21:21:31 UTC 2021 年 12 月 2 日 (木) 6 時 21 分 31 秒 (日本時間)
composite number 合成数
117272281733529370580410277952811034096478330882867744871525589862073794020863964153189105930126724077574739200448085136175873415949030315759994398935797801582300637121053<171>
prime factors 素因数
332749257251471536875814440153609490667957627237137<51>
352434390694679004811506199723148919762567831664277205530083815697130145971590929638410007716809857131082104872020577869<120>
factorization results 素因数分解の結果
P51 = 332749257251471536875814440153609490667957627237137
P120 = 352434390694679004811506199723148919762567831664277205530083815697130145971590929638410007716809857131082104872020577869

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10176-49

c176

name 名前Mitchell Dickerman
date 日付December 2, 2021 20:03:37 UTC 2021 年 12 月 3 日 (金) 5 時 3 分 37 秒 (日本時間)
composite number 合成数
20679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<176>
prime factors 素因数
108206912239847575222407897776836748312070948883212217<54>
191106204933032859144289362895222873566050119696798582512308448358002092124535342987143654389173723892875647463970533788487<123>
factorization results 素因数分解の結果
P54 = 108206912239847575222407897776836748312070948883212217
P123 = 191106204933032859144289362895222873566050119696798582512308448358002092124535342987143654389173723892875647463970533788487

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10177-49

c154

name 名前Mitchell Dickerman
date 日付December 3, 2021 20:30:56 UTC 2021 年 12 月 4 日 (土) 5 時 30 分 56 秒 (日本時間)
composite number 合成数
2531833070225241191641884010274024358005200489180560400432798950636005339051807991868617501128523180279149176693648612939718478657138703521413915364594769<154>
prime factors 素因数
8529115777417556421178447944352739500958456224169025453983421193292433469<73>
296845902470775110802520479940484908546442348060180550376604390957152519769057701<81>
factorization results 素因数分解の結果
P73 = 8529115777417556421178447944352739500958456224169025453983421193292433469
P81 = 296845902470775110802520479940484908546442348060180550376604390957152519769057701

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10179-49

c140

name 名前Mitchell Dickerman
date 日付December 4, 2021 19:41:48 UTC 2021 年 12 月 5 日 (日) 4 時 41 分 48 秒 (日本時間)
composite number 合成数
10785023402764974098970556680645511354836035802527695016385689116857770524572023894659197907111417527295014152388139982591331904818457777459<140>
prime factors 素因数
4298617652124355644529561611932176277543677199940966689021<58>
2508951545721929634975794365242415189844802005168731081946268132860511198170768879<82>
factorization results 素因数分解の結果
P58 = 4298617652124355644529561611932176277543677199940966689021
P82 = 2508951545721929634975794365242415189844802005168731081946268132860511198170768879

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10180-49

c170

name 名前Bob Backstrom
date 日付December 3, 2021 10:26:00 UTC 2021 年 12 月 3 日 (金) 19 時 26 分 0 秒 (日本時間)
composite number 合成数
27236802993964407879206382697909204515041920329372336436840263844938061365756115861489474419781218557800730208537965400764816038727170821779684905299273751145364313978501<170>
prime factors 素因数
63237152735893934650355611473807542161<38>
430708876279063899420594294256651941316523362951004830435550275491713873834191437506991598242092678506608468597238316201726346005941<132>
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 27236802993964407879206382697909204515041920329372336436840263844938061365756115861489474419781218557800730208537965400764816038727170821779684905299273751145364313978501 (170 digits)
Using B1=40320000, B2=192393771586, polynomial Dickson(12), sigma=1:1667395394
Step 1 took 97309ms
Step 2 took 30921ms
********** Factor found in step 2: 63237152735893934650355611473807542161
Found prime factor of 38 digits: 63237152735893934650355611473807542161
Prime cofactor 430708876279063899420594294256651941316523362951004830435550275491713873834191437506991598242092678506608468597238316201726346005941 has 132 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10183-49

c148

name 名前Mitchell Dickerman
date 日付December 6, 2021 03:11:02 UTC 2021 年 12 月 6 日 (月) 12 時 11 分 2 秒 (日本時間)
composite number 合成数
1077173948798435809845770703016753138015750607221944148503456425268412938160755856089379793631497244075854758130444180670286093471724402656456769909<148>
prime factors 素因数
1136229311431792186612775772185220718661969514517867<52>
948025137145125067904537198862801379418980158767587716898325424687641996840487150032290114362527<96>
factorization results 素因数分解の結果
P52 = 1136229311431792186612775772185220718661969514517867
P96 = 948025137145125067904537198862801379418980158767587716898325424687641996840487150032290114362527

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10185-49

c132

name 名前NyanCat
date 日付December 11, 2021 12:29:24 UTC 2021 年 12 月 11 日 (土) 21 時 29 分 24 秒 (日本時間)
composite number 合成数
205085028437369745779878823335125129062006166781989287804225555817974549301565986377160519060274923462258621903149979808456719146981<132>
prime factors 素因数
3654736881337385104277271540834340695734602859967745583363507<61>
56114854528822489460402860818720239131447683963801885681753976765003783<71>
factorization results 素因数分解の結果
PID4197 2021-12-11 20:23:22,490 Info:Square Root: finished
PID4197 2021-12-11 20:23:22,491 Info:Square Root: Factors: 3654736881337385104277271540834340695734602859967745583363507 56114854528822489460402860818720239131447683963801885681753976765003783
PID4197 2021-12-11 20:23:22,491 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID4197 2021-12-11 20:23:22,491 Info:Square Root: Total cpu/real time for sqrt: 1225.84/251.938
PID4197 2021-12-11 20:23:22,491 Info:Lattice Sieving: Aggregate statistics:
PID4197 2021-12-11 20:23:22,491 Info:Lattice Sieving: Total number of relations: 46640248
PID4197 2021-12-11 20:23:22,491 Info:Lattice Sieving: Average J: 3841.52 for 359928 special-q, max bucket fill -bkmult 1.0,1s:1.263780
PID4197 2021-12-11 20:23:22,491 Info:Lattice Sieving: Total time: 99034.1s
PID4197 2021-12-11 20:23:22,491 Info:Filtering - Merging: Total cpu/real time for merge: 223.02/64.897
PID4197 2021-12-11 20:23:22,491 Info:Filtering - Merging: Total cpu/real time for replay: 43.11/35.4983
PID4197 2021-12-11 20:23:22,492 Info:Linear Algebra: Total cpu/real time for bwc: 16398.1/5991.12
PID4197 2021-12-11 20:23:22,492 Info:Linear Algebra: Aggregate statistics:
PID4197 2021-12-11 20:23:22,492 Info:Linear Algebra: Krylov: CPU time 10154.5, WCT time 4513.82, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.01, comm-wait 0.0 (36000 iterations)
PID4197 2021-12-11 20:23:22,492 Info:Linear Algebra: Lingen CPU time 355.66, WCT time 72.75
PID4197 2021-12-11 20:23:22,492 Info:Linear Algebra: Mksol: CPU time 5380.5,  WCT time 1282.22, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (18000 iterations)
PID4197 2021-12-11 20:23:22,492 Info:Square Root: Total cpu/real time for sqrt: 1225.84/251.938
PID4197 2021-12-11 20:23:22,492 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID4197 2021-12-11 20:23:22,492 Info:Polynomial Selection (root optimized): Total time: 1251.51
PID4197 2021-12-11 20:23:22,492 Info:Polynomial Selection (root optimized): Rootsieve time: 1250.7
PID4197 2021-12-11 20:23:22,492 Info:Generate Factor Base: Total cpu/real time for makefb: 5.99/1.49078
PID4197 2021-12-11 20:23:22,492 Info:Generate Free Relations: Total cpu/real time for freerel: 941.09/171.605
PID4197 2021-12-11 20:23:22,493 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID4197 2021-12-11 20:23:22,493 Info:Polynomial Selection (size optimized): potential collisions: 21141.6
PID4197 2021-12-11 20:23:22,493 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21701/40.080/47.882/56.490/1.541
PID4197 2021-12-11 20:23:22,493 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17884/37.640/42.146/48.690/1.089
PID4197 2021-12-11 20:23:22,493 Info:Polynomial Selection (size optimized): Total time: 3304.36
PID4197 2021-12-11 20:23:22,493 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 789.3/412.64
PID4197 2021-12-11 20:23:22,493 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID4197 2021-12-11 20:23:22,493 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 283.9s
PID4197 2021-12-11 20:23:22,493 Info:Quadratic Characters: Total cpu/real time for characters: 54.14/20.5712
PID4197 2021-12-11 20:23:22,493 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 220.37/147.879
PID4197 2021-12-11 20:23:22,493 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID4197 2021-12-11 20:23:22,494 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.4s
PID4197 2021-12-11 20:23:22,494 Info:Filtering - Singleton removal: Total cpu/real time for purge: 311.15/245.426
PID4197 2021-12-11 20:23:22,494 Info:HTTP server: Shutting down HTTP server
PID4197 2021-12-11 20:23:22,991 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 196003/456915
software ソフトウェア
CADO-NFS c7e40d9e95cb6faaf16bfd969d7d3054dfa5094d
execution environment 実行環境
Linux NyanCatCBLFS 5.9.2 #17 SMP Thu Aug 12 09:43:16 CST 2021 x86_64 GNU/Linux
Brand Raw: Intel(R) Core(TM) i5-9400F CPU @ 2.90GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62080NyanCatDecember 6, 2021 05:22:34 UTC 2021 年 12 月 6 日 (月) 14 時 22 分 34 秒 (日本時間)
4511e64000NyanCatDecember 6, 2021 07:10:57 UTC 2021 年 12 月 6 日 (月) 16 時 10 分 57 秒 (日本時間)

67×10189-49

c144

name 名前Eric Jeancolas
date 日付December 10, 2021 08:06:15 UTC 2021 年 12 月 10 日 (金) 17 時 6 分 15 秒 (日本時間)
composite number 合成数
611248375606331666225312666836588213448672880253942036947992239307669611028733470784862765717541089951373905206120629697317195317833547431144679<144>
prime factors 素因数
1399610564766405604509836646134921344099060161430688003<55>
436727466192246665903412411010810240522251079484671059927795913279731140423308778219586893<90>
factorization results 素因数分解の結果
611248375606331666225312666836588213448672880253942036947992239307669611028733470784862765717541089951373905206120629697317195317833547431144679=1399610564766405604509836646134921344099060161430688003*436727466192246665903412411010810240522251079484671059927795913279731140423308778219586893

cado polynomial
n: 611248375606331666225312666836588213448672880253942036947992239307669611028733470784862765717541089951373905206120629697317195317833547431144679
skew: 0.45
type: snfs
c0: -5
c5: 268
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 268*x^5-5
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10600000
tasks.lim1 = 10600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 436727466192246665903412411010810240522251079484671059927795913279731140423308778219586893 1399610564766405604509836646134921344099060161430688003
Info:Square Root: Total cpu/real time for sqrt: 1127.54/345.413
Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.42/393.494
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26478509
Info:Lattice Sieving: Average J: 1894.19 for 2654633 special-q, max bucket fill -bkmult 1.0,1s:1.148020
Info:Lattice Sieving: Total time: 623575s
Info:Linear Algebra: Total cpu/real time for bwc: 81956.1/21005.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 52377.92, WCT time 13363.87, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 485.19, WCT time 122.84
Info:Linear Algebra: Mksol: CPU time 28347.72,  WCT time 7263.91, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.47/2.31287
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.62/130.708
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 452.03/452.509
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 365.70000000000005s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.01/31.994
Info:Filtering - Merging: Merged matrix has 2187230 rows and total weight 373260769 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 589.56/162.748
Info:Filtering - Merging: Total cpu/real time for replay: 84.04/73.0438
Info:Quadratic Characters: Total cpu/real time for characters: 76.84/33.5905
Info:Square Root: Total cpu/real time for sqrt: 1127.54/345.413
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.27061e+06/178345
Info:root: Cleaning up computation data in /tmp/cado.gpnaekiv
436727466192246665903412411010810240522251079484671059927795913279731140423308778219586893 1399610564766405604509836646134921344099060161430688003
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10194-49

c122

name 名前Eric Jeancolas
date 日付November 20, 2021 15:51:56 UTC 2021 年 11 月 21 日 (日) 0 時 51 分 56 秒 (日本時間)
composite number 合成数
52454530587545618676030762631246317350032195988272702824995946899886374025328585141618661741204928973094424411314672401333<122>
prime factors 素因数
320362834006947781899862645121401866573859853635296974449<57>
163734756405632325312421512262480965252503571612240975973391549317<66>
factorization results 素因数分解の結果
52454530587545618676030762631246317350032195988272702824995946899886374025328585141618661741204928973094424411314672401333=320362834006947781899862645121401866573859853635296974449*163734756405632325312421512262480965252503571612240975973391549317

cado polynomial
n: 52454530587545618676030762631246317350032195988272702824995946899886374025328585141618661741204928973094424411314672401333
skew: 24963.459
c0: 2201144055794553835732233600
c1: 56367930816991503674420
c2: -4380481949823714615
c3: -830379530079863
c4: -1674908268
c5: 324720
Y0: -287112304603177008416579
Y1: 249889542371617369
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.181e-06
# f(x) = 324720*x^5-1674908268*x^4-830379530079863*x^3-4380481949823714615*x^2+56367930816991503674420*x+2201144055794553835732233600
# g(x) = 249889542371617369*x-287112304603177008416579

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: 163734756405632325312421512262480965252503571612240975973391549317 320362834006947781899862645121401866573859853635296974449
Info:Square Root: Total cpu/real time for sqrt: 246.45/73.2856
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 201.25/195.247
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.39999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.29/148.193
Info:Linear Algebra: Total cpu/real time for bwc: 6283.04/1632.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3850.7, WCT time 997.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 145.54, WCT time 37.01
Info:Linear Algebra: Mksol: CPU time 2204.76,  WCT time 569.06, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14007187
Info:Lattice Sieving: Average J: 1898.84 for 358072 special-q, max bucket fill -bkmult 1.0,1s:1.272540
Info:Lattice Sieving: Total time: 42190.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 126.63/33.2664
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2304.42
Info:Polynomial Selection (root optimized): Rootsieve time: 2301.97
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.12/63.4127
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.9s
Info:Filtering - Merging: Total cpu/real time for merge: 63.39/20.6607
Info:Filtering - Merging: Total cpu/real time for replay: 19.94/15.7211
Info:Quadratic Characters: Total cpu/real time for characters: 25.21/9.64743
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): 19950/35.880/43.559/50.100/1.035
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16087/34.600/38.598/44.050/0.876
Info:Polynomial Selection (size optimized): Total time: 2222.9
Info:Square Root: Total cpu/real time for sqrt: 246.45/73.2856
Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/1.37373
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 89627.9/24433.2
Info:root: Cleaning up computation data in /tmp/cado.jar8vgds
163734756405632325312421512262480965252503571612240975973391549317 320362834006947781899862645121401866573859853635296974449
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10195-49

c153

name 名前Eric Jeancolas
date 日付December 12, 2021 09:57:33 UTC 2021 年 12 月 12 日 (日) 18 時 57 分 33 秒 (日本時間)
composite number 合成数
684268251027195350950124618798996010201513242199974298405887970141189242209233398677002898839895212557603139043439765540996704218936438320176770113444977<153>
prime factors 素因数
69985274124643392472906446656001584951918211241206307<53>
9777317579817110075424335194603429680123422423778214880326910900660331716383670939232094297882590811<100>
factorization results 素因数分解の結果
684268251027195350950124618798996010201513242199974298405887970141189242209233398677002898839895212557603139043439765540996704218936438320176770113444977=69985274124643392472906446656001584951918211241206307*9777317579817110075424335194603429680123422423778214880326910900660331716383670939232094297882590811

cado polynomial
n: 684268251027195350950124618798996010201513242199974298405887970141189242209233398677002898839895212557603139043439765540996704218936438320176770113444977
skew: 0.57
type: snfs
c0: -4
c5: 67
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 67*x^5-4
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9777317579817110075424335194603429680123422423778214880326910900660331716383670939232094297882590811 69985274124643392472906446656001584951918211241206307
Info:Square Root: Total cpu/real time for sqrt: 1130.78/350.836
Info:Filtering - Singleton removal: Total cpu/real time for purge: 409.62/478.052
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27551238
Info:Lattice Sieving: Average J: 1893.58 for 2457689 special-q, max bucket fill -bkmult 1.0,1s:1.145300
Info:Lattice Sieving: Total time: 562415s
Info:Linear Algebra: Total cpu/real time for bwc: 90147.4/23069
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57645.99, WCT time 14705.34, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 504.67, WCT time 127.88
Info:Linear Algebra: Mksol: CPU time 31195.7,  WCT time 7969.23, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.63/2.63172
Info:Generate Free Relations: Total cpu/real time for freerel: 116.41/31.8154
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.65/135.434
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.69999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 512.18/519.024
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 419.4s
Info:Filtering - Merging: Merged matrix has 2301519 rows and total weight 391760333 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 637.18/175.589
Info:Filtering - Merging: Total cpu/real time for replay: 88.77/76.8387
Info:Quadratic Characters: Total cpu/real time for characters: 79.21/34.4959
Info:Square Root: Total cpu/real time for sqrt: 1130.78/350.836
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.14747e+06/306061
Info:root: Cleaning up computation data in /tmp/cado.01xb4oyq
9777317579817110075424335194603429680123422423778214880326910900660331716383670939232094297882590811 69985274124643392472906446656001584951918211241206307
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:24:25 UTC 2021 年 12 月 3 日 (金) 2 時 24 分 25 秒 (日本時間)
2350Ignacio SantosDecember 2, 2021 21:06:39 UTC 2021 年 12 月 3 日 (金) 6 時 6 分 39 秒 (日本時間)
4511e64480Ignacio SantosDecember 2, 2021 22:58:51 UTC 2021 年 12 月 3 日 (金) 7 時 58 分 51 秒 (日本時間)

67×10196-49

c186

name 名前Bob Backstrom
date 日付December 11, 2021 05:32:57 UTC 2021 年 12 月 11 日 (土) 14 時 32 分 57 秒 (日本時間)
composite number 合成数
101584519590199847973676533330926246234238749829271724705618509558642211613456422188516227177765124026604289440389735500676797772835958197393147321207643793588217524952303066563408390073<186>
prime factors 素因数
4702604500756821935987028981854424109617935721218219115625607<61>
21601756978255595263576135437810132463720512155144664391759769637378580362111837340799833920605725042999098601286238325410239<125>
factorization results 素因数分解の結果
Number: n
N=101584519590199847973676533330926246234238749829271724705618509558642211613456422188516227177765124026604289440389735500676797772835958197393147321207643793588217524952303066563408390073  ( 186 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Dec 11 16:23:21 2021  p61 factor: 4702604500756821935987028981854424109617935721218219115625607
Sat Dec 11 16:23:21 2021  p125 factor: 21601756978255595263576135437810132463720512155144664391759769637378580362111837340799833920605725042999098601286238325410239
Sat Dec 11 16:23:21 2021  elapsed time 01:14:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 67x10^196-4 = 74(196)
#
n: 101584519590199847973676533330926246234238749829271724705618509558642211613456422188516227177765124026604289440389735500676797772835958197393147321207643793588217524952303066563408390073
m: 1000000000000000000000000000000000000000
deg: 5
c5: 335
c0: -2
skew: 0.36
# Murphy_E = 1.682e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3826116 hash collisions in 32046415 relations (29384298 unique)
Msieve: matrix is 1747013 x 1747238 (604.4 MB)

Sieving start time : 2021/12/11 04:20:04
Sieving end time  : 2021/12/11 15:07:52

Total sieving time: 10hrs 47min 48secs.

Total relation processing time: 1hrs 4min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.154164] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:24:35 UTC 2021 年 12 月 3 日 (金) 2 時 24 分 35 秒 (日本時間)
2350Ignacio SantosDecember 2, 2021 20:47:35 UTC 2021 年 12 月 3 日 (金) 5 時 47 分 35 秒 (日本時間)
4511e64480Ignacio SantosDecember 3, 2021 08:05:50 UTC 2021 年 12 月 3 日 (金) 17 時 5 分 50 秒 (日本時間)

67×10197-49

c196

name 名前Bob Backstrom
date 日付November 30, 2021 06:55:50 UTC 2021 年 11 月 30 日 (火) 15 時 55 分 50 秒 (日本時間)
composite number 合成数
2001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227<196>
prime factors 素因数
121288999166221487518484999048185470501205436286151478982419418285873430411771<78>
16499392004939157911453764324337641746729309126186666778682731430799777011132075015514810850881106491075270644074805737<119>
factorization results 素因数分解の結果
Number: n
N=2001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227  ( 196 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Nov 30 17:47:59 2021  p78 factor: 121288999166221487518484999048185470501205436286151478982419418285873430411771
Tue Nov 30 17:47:59 2021  p119 factor: 16499392004939157911453764324337641746729309126186666778682731430799777011132075015514810850881106491075270644074805737
Tue Nov 30 17:47:59 2021  elapsed time 01:04:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 67x10^197-4 = 74(197)
#
n: 2001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227001194743130227
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1675
c0: -1
skew: 0.23
# Murphy_E = 1.742e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6307152 hash collisions in 43042759 relations (38060926 unique)
Msieve: matrix is 1611036 x 1611265 (548.1 MB)

Sieving start time : 2021/11/30 06:53:23
Sieving end time  : 2021/11/30 16:42:24

Total sieving time: 9hrs 49min 1secs.

Total relation processing time: 0hrs 50min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 48sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10201-49

c182

name 名前Ignacio Santos
date 日付December 2, 2021 19:03:22 UTC 2021 年 12 月 3 日 (金) 4 時 3 分 22 秒 (日本時間)
composite number 合成数
13328125988228317381637675211319877034956081687003857772467008864562089313543827922731841376483898458061569700816573323524142664860053157022066197106976395432957396986658562666996043<182>
prime factors 素因数
1835072713578624864631773669473179711627122774209<49>
7262996114326597388713037682869997624557085652922506978622915797329303205006245697837083414522602671952422323567130200265149643663627<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2474505181
Step 1 took 31078ms
Step 2 took 13203ms
********** Factor found in step 2: 1835072713578624864631773669473179711627122774209
Found prime factor of 49 digits: 1835072713578624864631773669473179711627122774209
Prime cofactor 7262996114326597388713037682869997624557085652922506978622915797329303205006245697837083414522602671952422323567130200265149643663627 has 133 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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 2, 2021 13:48:50 UTC 2021 年 12 月 2 日 (木) 22 時 48 分 50 秒 (日本時間)

67×10202-49

c161

name 名前Bob Backstrom
date 日付December 24, 2023 15:17:28 UTC 2023 年 12 月 25 日 (月) 0 時 17 分 28 秒 (日本時間)
composite number 合成数
12674766779691378018522450009058198523680109564002869187708278082135109335634775157355577138601371676263748254605497191775803736980523151572833821341286876730367<161>
prime factors 素因数
5681975566386486882325477360286182897651695650045574538283<58>
2230697163619102199135190357146015734671962539280316034506518034548978652401351929830480256971992711549<103>
factorization results 素因数分解の結果
Number: n
N=12674766779691378018522450009058198523680109564002869187708278082135109335634775157355577138601371676263748254605497191775803736980523151572833821341286876730367  ( 161 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Dec 25 02:11:34 2023  prp58 factor: 5681975566386486882325477360286182897651695650045574538283
Mon Dec 25 02:11:34 2023  prp103 factor: 2230697163619102199135190357146015734671962539280316034506518034548978652401351929830480256971992711549
Mon Dec 25 02:11:34 2023  elapsed time 02:14:06 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 67x10^202-4 = 74(202)
#
n: 12674766779691378018522450009058198523680109564002869187708278082135109335634775157355577138601371676263748254605497191775803736980523151572833821341286876730367
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1675
c0: -1
skew: 0.23
# Murphy_E = 1.075e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3776707 hash collisions in 21286310 relations (17951758 unique)
Msieve: matrix is 2064771 x 2064997 (580.0 MB)

Sieving start time: 2023/12/24 05:51:21
Sieving end time  : 2023/12/24 23:57:03

Total sieving time: 18hrs 5min 42secs.

Total relation processing time: 2hrs 5min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:24:50 UTC 2021 年 12 月 3 日 (金) 2 時 24 分 50 秒 (日本時間)
2350Ignacio SantosDecember 5, 2021 14:49:33 UTC 2021 年 12 月 5 日 (日) 23 時 49 分 33 秒 (日本時間)
4511e64480Ignacio SantosDecember 5, 2021 21:00:50 UTC 2021 年 12 月 6 日 (月) 6 時 0 分 50 秒 (日本時間)

67×10203-49

c174

name 名前Bob Backstrom
date 日付December 4, 2021 08:24:05 UTC 2021 年 12 月 4 日 (土) 17 時 24 分 5 秒 (日本時間)
composite number 合成数
168215126125254968774181775274483230583378935060097212548296890411324220187543481285147509589535247664986756391820821316213098312125314478314175174924803366648369733328713301<174>
prime factors 素因数
2456090474635701747291524577903531617<37>
68488977854207664616369271100831192810012735768864973541927534335736932116430701565203586098183819341794862357867885169909270936588532853<137>
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 168215126125254968774181775274483230583378935060097212548296890411324220187543481285147509589535247664986756391820821316213098312125314478314175174924803366648369733328713301 (174 digits)
Using B1=36210000, B2=192389627446, polynomial Dickson(12), sigma=1:4030039203
Step 1 took 89397ms
Step 2 took 31623ms
********** Factor found in step 2: 2456090474635701747291524577903531617
Found prime factor of 37 digits: 2456090474635701747291524577903531617
Prime cofactor 68488977854207664616369271100831192810012735768864973541927534335736932116430701565203586098183819341794862357867885169909270936588532853 has 137 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2021 17:25:01 UTC 2021 年 12 月 3 日 (金) 2 時 25 分 1 秒 (日本時間)

67×10206-49

c206

name 名前Ignacio Santos
date 日付March 18, 2022 22:01:19 UTC 2022 年 3 月 19 日 (土) 7 時 1 分 19 秒 (日本時間)
composite number 合成数
62037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<206>
prime factors 素因数
177327631872127857316717245467144389587791816318590549<54>
349844163496032924121579987250937903397031469650709959477161811465166735191984047767637839338863639127215553940774764726876057705839927290058611658445113<153>
factorization results 素因数分解の結果
N=62037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 206 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=177327631872127857316717245467144389587791816318590549 (pp54)
 r2=349844163496032924121579987250937903397031469650709959477161811465166735191984047767637839338863639127215553940774764726876057705839927290058611658445113 (pp153)
Version: Msieve v. 1.52 (SVN 927)
Total time: 623.63 hours.
Scaled time: 4894.86 units (timescale=7.849).
Factorization parameters were as follows:
n: 62037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 10000000000000000000000000000000000
deg: 6
c6: 1675
c0: -1
skew: 0.29
# Murphy_E = 7.301e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9950000, 23150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3818056 x 3818283
Total sieving time: 619.78 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.33 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,207.000,6,0,0,0,0,0,0,0,0,19900000,19900000,29,29,56,56,2.6,2.6,100000
total time: 623.63 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62100ebinaFebruary 9, 2022 02:41:15 UTC 2022 年 2 月 9 日 (水) 11 時 41 分 15 秒 (日本時間)

67×10207-49

c179

composite cofactor 合成数の残り
13197274384839457465255642263295155740064061944715937762312641759672871842032915550518190336865459503568908332420989930494800588016896694737773418196535455494827714556416873836913<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:25:13 UTC 2021 年 12 月 3 日 (金) 2 時 25 分 13 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 13:27:50 UTC 2023 年 7 月 13 日 (木) 22 時 27 分 50 秒 (日本時間)

67×10210-49

c184

name 名前Dmitry Domanov
date 日付December 3, 2021 09:40:25 UTC 2021 年 12 月 3 日 (金) 18 時 40 分 25 秒 (日本時間)
composite number 合成数
1036001269333291629224005834036372958920192934725123848689598939095692766899089219348706673913444164864839940396311534697701623996451673985853354348391760183699649228622625063512036047<184>
prime factors 素因数
166859854444004563183891876800856812197<39>
6208810817828902656012520707898826184666896449879215614992115764777011577036993603848085596193332028174910341834411485382097535478618338127262051<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2377886632
Step 1 took 6477ms
Step 2 took 3046ms
********** Factor found in step 2: 166859854444004563183891876800856812197
Found prime factor of 39 digits: 166859854444004563183891876800856812197
Prime cofactor 6208810817828902656012520707898826184666896449879215614992115764777011577036993603848085596193332028174910341834411485382097535478618338127262051 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2021 17:25:23 UTC 2021 年 12 月 3 日 (金) 2 時 25 分 23 秒 (日本時間)

67×10211-49

c178

name 名前Dmitry Domanov
date 日付December 3, 2021 09:41:10 UTC 2021 年 12 月 3 日 (金) 18 時 41 分 10 秒 (日本時間)
composite number 合成数
2587921718753461267035597351599226423776265814297989212494343969947881611439534765349860573217378352527089252666300206537441363796004789813222472540977269852056232427759342613077<178>
prime factors 素因数
550825545946707470420449448696996279<36>
4698260162036572348250085244960983143742331553870923785376831604828383494037726225243149312890583751304211324557151646191032985120283176852563<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2441565083
Step 1 took 6610ms
Step 2 took 2937ms
********** Factor found in step 2: 550825545946707470420449448696996279
Found prime factor of 36 digits: 550825545946707470420449448696996279
Prime cofactor 4698260162036572348250085244960983143742331553870923785376831604828383494037726225243149312890583751304211324557151646191032985120283176852563 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2021 17:26:11 UTC 2021 年 12 月 3 日 (金) 2 時 26 分 11 秒 (日本時間)

67×10212-49

c202

composite cofactor 合成数の残り
4815673101996681448657954819282960597988260095941143693481888241728960770146549472105308071815799777248369190459096418354901045040939494090252730134250093386314082973657158753371974473763047258491010151<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 19:42:00 UTC 2022 年 2 月 18 日 (金) 4 時 42 分 0 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:35:10 UTC 2023 年 6 月 21 日 (水) 16 時 35 分 10 秒 (日本時間)

67×10213-49

c162

composite cofactor 合成数の残り
279888866278488419905864210290100345831429564539175436178233454121915495147881399541429014553227005548685254175890983314491292721138584176992941133839685527341411<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:26:20 UTC 2021 年 12 月 3 日 (金) 2 時 26 分 20 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 13:28:25 UTC 2023 年 7 月 13 日 (木) 22 時 28 分 25 秒 (日本時間)

67×10214-49

c164

name 名前Bob Backstrom
date 日付December 1, 2021 15:31:14 UTC 2021 年 12 月 2 日 (木) 0 時 31 分 14 秒 (日本時間)
composite number 合成数
57952225568915340059688492588306163080709798859345672905803450735056245957730289071259783367215694807976673530669447124817477925138323179190431008243448770299965869<164>
prime factors 素因数
13458840849244558714029530040049117639687<41>
4305885344663109202431960704422401092334429612091028662611203770410525625660983993399503753081653943582263335404986307561387<124>
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 57952225568915340059688492588306163080709798859345672905803450735056245957730289071259783367215694807976673530669447124817477925138323179190431008243448770299965869 (164 digits)
Using B1=36950000, B2=192390318136, polynomial Dickson(12), sigma=1:990924209
Step 1 took 88596ms
Step 2 took 30455ms
********** Factor found in step 2: 13458840849244558714029530040049117639687
Found prime factor of 41 digits: 13458840849244558714029530040049117639687
Prime cofactor 4305885344663109202431960704422401092334429612091028662611203770410525625660983993399503753081653943582263335404986307561387 has 124 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10215-49

c180

name 名前Bob Backstrom
date 日付December 11, 2021 03:42:41 UTC 2021 年 12 月 11 日 (土) 12 時 42 分 41 秒 (日本時間)
composite number 合成数
179910823221261778708367938607334459497912328896603569358129416781982735702389173804809911829034135409931204678161334058906573344828030709586658735066671170025304323959705525187713<180>
prime factors 素因数
55285718586358384331054683220330457587473<41>
57153183667046515730885727005077903181237923881542172442171<59>
56938222420540171649013271508863134421496443457652562944427698516154317703475011<80>
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 179910823221261778708367938607334459497912328896603569358129416781982735702389173804809911829034135409931204678161334058906573344828030709586658735066671170025304323959705525187713 (180 digits)
Using B1=43280000, B2=240490660426, polynomial Dickson(12), sigma=1:3366716386
Step 1 took 120344ms
Step 2 took 39717ms
********** Factor found in step 2: 55285718586358384331054683220330457587473
Found prime factor of 41 digits: 55285718586358384331054683220330457587473
Composite cofactor 3254200683676278266638987280164176661438477994265149292621571820128418211179093226316638689504819161646616413434268072128036957927141088881 has 139 digits

CADO

STA:Fri 10 Dec 2021 21:37:03 AEDT (3,254,200,683,676,278,266,638,987,280,164,176,661,438,477,994,265,149,292,621,571,820,128,418,211,179,093,226,316,638,689,504,819,161,646,616,413,434,268,072,128,036,957,927,141,088,881 - C139)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3254200683676278266638987280164176661438477994265149292621571820128418211179093226316638689504819161646616413434268072128036957927141088881 2>&1 | tee -a log115

Debug:root: Looking for parameter file for c139 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.bwtrfo7g
Info:Database: Opened connection to database /tmp/cado.bwtrfo7g/c140.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3254200683676278266638987280164176661438477994265149292621571820128418211179093226316638689504819161646616413434268072128036957927141088881
Debug:root: Root parameter dictionary:
N = 3254200683676278266638987280164176661438477994265149292621571820128418211179093226316638689504819161646616413434268072128036957927141088881
lim0 = 16496796
lim1 = 20245449
lpb0 = 28
lpb1 = 28
name = c140
...
n: 3254200683676278266638987280164176661438477994265149292621571820128418211179093226316638689504819161646616413434268072128036957927141088881
skew: 1875610.47
c0: -15240637222485238995488656822213848
c1: 126575647716030432729297537614
c2: -115205486526443797509393
c3: -88781445306127019
c4: 13840720476
c5: 4320
Y0: -1553195166882552622658238755
Y1: 13037565861289921
# MurphyE (Bf=2.02e+07,Bg=1.65e+07,area=6.79e+14) = 9.28e-10
# f(x) = 4320*x^5+13840720476*x^4-88781445306127019*x^3-115205486526443797509393*x^2+126575647716030432729297537614*x-15240637222485238995488656822213848
# g(x) = 13037565861289921*x-1553195166882552622658238755
...
Info:Square Root: finished
Info:Square Root: Factors: 57153183667046515730885727005077903181237923881542172442171 56938222420540171649013271508863134421496443457652562944427698516154317703475011
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 2155.66/307.487
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66721/41.640/49.866/55.620/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66721/40.400/44.580/50.560/1.199
Info:Polynomial Selection (size optimized): Total time: 27985.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2379.33
Info:Polynomial Selection (root optimized): Rootsieve time: 2378.41
Info:Generate Factor Base: Total cpu/real time for makefb: 26.32/2.35897
Info:Generate Free Relations: Total cpu/real time for freerel: 302.94/20.5034
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25179331
Info:Lattice Sieving: Average J: 3937.06 for 761792 special-q, max bucket fill: 0.711745
Info:Lattice Sieving: Total CPU time: 760223s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 68.55/89.0928
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 408.62/128.234
Info:Filtering - Singleton removal: Total cpu/real time for purge: 183.37/89.6939
Info:Filtering - Merging: Total cpu/real time for merge: 1064.74/897.836
Info:Filtering - Merging: Total cpu/real time for replay: 85.06/68.0174
Info:Linear Algebra: Total cpu/real time for bwc: 122130/0.000260592
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 5217.89
Info:Linear Algebra: Lingen CPU time 590.9, WCT time 55.0
Info:Linear Algebra: Mksol: WCT time 2879.26
Info:Quadratic Characters: Total cpu/real time for characters: 78.03/19.047
Info:Square Root: Total cpu/real time for sqrt: 2155.66/307.487
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 917091/61094.1
Info:root: Cleaning up computation data in /tmp/cado.bwtrfo7g
57153183667046515730885727005077903181237923881542172442171 56938222420540171649013271508863134421496443457652562944427698516154317703475011

END:Sat 11 Dec 2021 14:35:18 AEDT (3,254,200,683,676,278,266,638,987,280,164,176,661,438,477,994,265,149,292,621,571,820,128,418,211,179,093,226,316,638,689,504,819,161,646,616,413,434,268,072,128,036,957,927,141,088,881 - C139)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2021 17:26:31 UTC 2021 年 12 月 3 日 (金) 2 時 26 分 31 秒 (日本時間)

67×10219-49

c182

name 名前Erik Branger
date 日付November 26, 2022 17:07:42 UTC 2022 年 11 月 27 日 (日) 2 時 7 分 42 秒 (日本時間)
composite number 合成数
18259716182753288936529975338760423203061738504277073732547747456119803452776883206695135865125592600541460833445277137405293981361224622989923599190843617386414069289291664544282473<182>
prime factors 素因数
6764743179247792378407647778483959110650430659539318664349<58>
2699247510056055592365935132446682991560538102600235217502282336033651783266571692787247694230216252791187536276379410812477<124>
factorization results 素因数分解の結果
Number: 74444_219
N = 18259716182753288936529975338760423203061738504277073732547747456119803452776883206695135865125592600541460833445277137405293981361224622989923599190843617386414069289291664544282473 (182 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6764743179247792378407647778483959110650430659539318664349 (pp58)
r2=2699247510056055592365935132446682991560538102600235217502282336033651783266571692787247694230216252791187536276379410812477 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 27.40 hours.
Factorization parameters were as follows:
n: 18259716182753288936529975338760423203061738504277073732547747456119803452776883206695135865125592600541460833445277137405293981361224622989923599190843617386414069289291664544282473
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 67
c0: -40
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: 30472347
Relations: 8157884 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.24 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6971766 x 6971991
Matrix solve time: 17.66 hours.
time per square root: 0.25 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: 27.40 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 2, 2021 17:27:01 UTC 2021 年 12 月 3 日 (金) 2 時 27 分 1 秒 (日本時間)

67×10220-49

c146

name 名前Mitchell Dickerman
date 日付December 10, 2021 02:57:59 UTC 2021 年 12 月 10 日 (金) 11 時 57 分 59 秒 (日本時間)
composite number 合成数
27712142185284773103733697466042449146837806955219302664455825554003701277593080994444703277372720441996969006757974586189134822920909662882351037<146>
prime factors 素因数
84295651700532059750716056539916690123974591069713993998405865592207<68>
328749367568029120500617597687492670459741019112849952545884310384472744648691<78>
factorization results 素因数分解の結果
P68 = 84295651700532059750716056539916690123974591069713993998405865592207
P78 = 328749367568029120500617597687492670459741019112849952545884310384472744648691

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 22, 2021 20:56:15 UTC 2021 年 11 月 23 日 (火) 5 時 56 分 15 秒 (日本時間)
4511e64480Ignacio SantosNovember 28, 2021 08:36:16 UTC 2021 年 11 月 28 日 (日) 17 時 36 分 16 秒 (日本時間)

67×10221-49

c201

name 名前Erik Branger
date 日付May 14, 2023 17:05:39 UTC 2023 年 5 月 15 日 (月) 2 時 5 分 39 秒 (日本時間)
composite number 合成数
223867919158968083356751909560172744850487532697508588722595716081062925001377305495770370256971156443448953729283409844771436129371241059847334550743680064034665553343973301869526636575903721187599063<201>
prime factors 素因数
117564461562838009942780105054404398298917648617548815996611483179135640052407050781249837531<93>
1904214217315247528573191735122295045136939465416736277002719812871788934118158093073118430905623751532200373<109>
factorization results 素因数分解の結果
Number: 74444_221
N = 223867919158968083356751909560172744850487532697508588722595716081062925001377305495770370256971156443448953729283409844771436129371241059847334550743680064034665553343973301869526636575903721187599063 (201 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=117564461562838009942780105054404398298917648617548815996611483179135640052407050781249837531 (pp93)
r2=1904214217315247528573191735122295045136939465416736277002719812871788934118158093073118430905623751532200373 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.74 hours.
Factorization parameters were as follows:
n: 223867919158968083356751909560172744850487532697508588722595716081062925001377305495770370256971156443448953729283409844771436129371241059847334550743680064034665553343973301869526636575903721187599063
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 335
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30765498
Relations: 7977082 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.66 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6870142 x 6870367
Matrix solve time: 31.75 hours.
time per square root: 0.91 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 46.74 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e6602 / 2078Marlon TrifunovicFebruary 17, 2022 18:26:50 UTC 2022 年 2 月 18 日 (金) 3 時 26 分 50 秒 (日本時間)

67×10222-49

c161

name 名前Erik Branger
date 日付September 16, 2023 11:14:54 UTC 2023 年 9 月 16 日 (土) 20 時 14 分 54 秒 (日本時間)
composite number 合成数
23148161750895854395157968570198880698726184484648631391948898230271935935877424601649536350081486087799377023959664712424908202530710123243758832195604993301283<161>
prime factors 素因数
2939943261387186360427421075552981076488076808999529773071421496903732412648629<79>
7873676357949029922771782156308471717058929873922186051917373123511480162859812727<82>
factorization results 素因数分解の結果
Number: 74444_222
N = 23148161750895854395157968570198880698726184484648631391948898230271935935877424601649536350081486087799377023959664712424908202530710123243758832195604993301283 (161 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=2939943261387186360427421075552981076488076808999529773071421496903732412648629 (pp79)
r2=7873676357949029922771782156308471717058929873922186051917373123511480162859812727 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.85 hours.
Factorization parameters were as follows:
n: 23148161750895854395157968570198880698726184484648631391948898230271935935877424601649536350081486087799377023959664712424908202530710123243758832195604993301283
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1675
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30625425
Relations: 9109284 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.71 hours.
Total relation processing time: 0.29 hours.
Pruned matrix : 7704620 x 7704845
Matrix solve time: 22.68 hours.
time per square root: 1.16 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 34.85 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:27:15 UTC 2021 年 12 月 3 日 (金) 2 時 27 分 15 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 13:28:47 UTC 2023 年 7 月 13 日 (木) 22 時 28 分 47 秒 (日本時間)

67×10223-49

c190

composite cofactor 合成数の残り
1528143495910772626801509957825013385937343142043657768109779380173012689768827327930549406742911083416516343156958552406319949044943765998230192941270510658754615083701845717157398595716459<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:27:44 UTC 2021 年 12 月 3 日 (金) 2 時 27 分 44 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 13:29:08 UTC 2023 年 7 月 13 日 (木) 22 時 29 分 8 秒 (日本時間)

67×10227-49

c182

composite cofactor 合成数の残り
17374561230790002246760053946832871884464172509050132083968399295122534665676772545040407647816298527752254000758912420696849049496637771747252847111812779691346515136667908102741871<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:28:38 UTC 2021 年 12 月 3 日 (金) 2 時 28 分 38 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 13:45:56 UTC 2023 年 7 月 13 日 (木) 22 時 45 分 56 秒 (日本時間)

67×10229-49

c220

composite cofactor 合成数の残り
3323327071110357466243460578734747716172747802473024229618587881057413746438192639930298837157641811865536155088553901595412788176097061891846771824275875324622883437344390535898903190369014703051187850780300995325249753<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 07:34:57 UTC 2022 年 2 月 18 日 (金) 16 時 34 分 57 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:35:35 UTC 2023 年 6 月 21 日 (水) 16 時 35 分 35 秒 (日本時間)

67×10231-49

c143

name 名前Bob Backstrom
date 日付November 27, 2021 03:02:27 UTC 2021 年 11 月 27 日 (土) 12 時 2 分 27 秒 (日本時間)
composite number 合成数
40073600342591336941003229576793354148356711376758714276199473136864859494253428986818337357459204921122313869563557480811130470129706737719527<143>
prime factors 素因数
91252036252609235821465549430381169529858229<44>
439152943739877183826624985804675769846832958660563687114157668224666421071682116058423943903905963<99>
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 40073600342591336941003229576793354148356711376758714276199473136864859494253428986818337357459204921122313869563557480811130470129706737719527 (143 digits)
Using B1=36640000, B2=192390318136, polynomial Dickson(12), sigma=1:581023359
Step 1 took 72902ms
Step 2 took 26326ms
********** Factor found in step 2: 91252036252609235821465549430381169529858229
Found prime factor of 44 digits: 91252036252609235821465549430381169529858229
Prime cofactor 439152943739877183826624985804675769846832958660563687114157668224666421071682116058423943903905963 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62078ebinaNovember 22, 2021 13:16:42 UTC 2021 年 11 月 22 日 (月) 22 時 16 分 42 秒 (日本時間)

67×10232-49

c229

composite cofactor 合成数の残り
5651719134865202280932618011269696662955089921382056213516887674191044977561831494415764078685427000033741606775314640483179809022505651719134865202280932618011269696662955089921382056213516887674191044977561831494415764078685427<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 05:20:27 UTC 2022 年 2 月 18 日 (金) 14 時 20 分 27 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:35:44 UTC 2023 年 6 月 21 日 (水) 16 時 35 分 44 秒 (日本時間)

67×10233-49

c188

composite cofactor 合成数の残り
11059092613522915762464328285742483970064510303651800212297131459850872358180902363729082821146133458752315001282296056110425306428797648926239139174197667506597383767911383111229216104193<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:28:46 UTC 2021 年 12 月 3 日 (金) 2 時 28 分 46 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 14:04:06 UTC 2023 年 7 月 13 日 (木) 23 時 4 分 6 秒 (日本時間)

67×10234-49

c234

composite cofactor 合成数の残り
265873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 19, 2022 02:22:56 UTC 2022 年 2 月 19 日 (土) 11 時 22 分 56 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:36:00 UTC 2023 年 6 月 21 日 (水) 16 時 36 分 0 秒 (日本時間)

67×10235-49

c234

composite cofactor 合成数の残り
503003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 19, 2022 03:21:15 UTC 2022 年 2 月 19 日 (土) 12 時 21 分 15 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:36:12 UTC 2023 年 6 月 21 日 (水) 16 時 36 分 12 秒 (日本時間)

67×10236-49

c205

composite cofactor 合成数の残り
2349365245081079956558201897867441799350587774508553980081681754518732455504600468373545686754303387097250536833708735915742127893427471928924429024295527791954662895276225602691690838259346146652855636507<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 14:25:38 UTC 2022 年 2 月 17 日 (木) 23 時 25 分 38 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:36:21 UTC 2023 年 6 月 21 日 (水) 16 時 36 分 21 秒 (日本時間)

67×10238-49

c213

composite cofactor 合成数の残り
326555430657563292327301756133967144459018777310375051616974226088768022024834998196449921141987176144914326892350968710610120693163438017424259188257252464124206832843801548122550551929848836280385448194075772871<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 07:04:34 UTC 2022 年 2 月 18 日 (金) 16 時 4 分 34 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:36:30 UTC 2023 年 6 月 21 日 (水) 16 時 36 分 30 秒 (日本時間)

67×10239-49

c202

composite cofactor 合成数の残り
4594879800738148096781026140029551555294994096528255290668810515658420502857664412527302678222496966301973691204695192554695228767325610597974743855420442775101915169658891350922613962199271910567871663<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 22:44:45 UTC 2022 年 2 月 18 日 (金) 7 時 44 分 45 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:36:38 UTC 2023 年 6 月 21 日 (水) 16 時 36 分 38 秒 (日本時間)

67×10240-49

c223

composite cofactor 合成数の残り
2061576639717453817348011254143360291163618414587697731435612014969149028922127751580144052507060146058414062010628634156662477781677851445107922938379783118833715281725007187893677439963560321139755255514496841649870634219<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 12:03:16 UTC 2022 年 2 月 18 日 (金) 21 時 3 分 16 秒 (日本時間)
1792Dmitry DomanovJune 8, 2023 15:01:59 UTC 2023 年 6 月 9 日 (金) 0 時 1 分 59 秒 (日本時間)

67×10241-49

c235

name 名前Dmitry Domanov
date 日付June 23, 2023 17:49:39 UTC 2023 年 6 月 24 日 (土) 2 時 49 分 39 秒 (日本時間)
composite number 合成数
7235058944565151144268846324281216331329243602879665765329502510003926801245674136659853616831883017174215770363807703968514060138414668570156682004559685327201113343828704213037455273837478287804079268774405635588265796973706586352761<235>
prime factors 素因数
6959224384677140462638505011576731376127<40>
composite cofactor 合成数の残り
1039635819258155373287187547699961414468299877898821571327474574640685273468838212215355721748953748791355734567946346729148986691861323477298605476819773240253054479011482720899553847117695895943<196>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f26f78796d0e with GMP-ECM 7.0.5-dev on Wed Jun 21 14:12:21 2023 
Input number is 7235058944565151144268846324281216331329243602879665765329502510003926801245674136659853616831883017174215770363807703968514060138414668570156682004559685327201113343828704213037455273837478287804079268774405635588265796973706586352761 (235 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1208267013
Step 1 took 0ms
Step 2 took 4283ms
********** Factor found in step 2: 6959224384677140462638505011576731376127
Found prime factor of 40 digits: 6959224384677140462638505011576731376127
Composite cofactor 1039635819258155373287187547699961414468299877898821571327474574640685273468838212215355721748953748791355734567946346729148986691861323477298605476819773240253054479011482720899553847117695895943 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 28, 2022 23:06:17 UTC 2022 年 3 月 1 日 (火) 8 時 6 分 17 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:36:54 UTC 2023 年 6 月 21 日 (水) 16 時 36 分 54 秒 (日本時間)

67×10242-49

c222

composite cofactor 合成数の残り
192992952648807270346431055131400792000421129769036337710754624638514124751690049538760455791051617614863267983644889557164941340213763430603919239596621281881082826757983845743804859560762657048528456697199502743750275061<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 12:59:17 UTC 2022 年 2 月 18 日 (金) 21 時 59 分 17 秒 (日本時間)
1792Dmitry DomanovJune 8, 2023 15:01:52 UTC 2023 年 6 月 9 日 (金) 0 時 1 分 52 秒 (日本時間)

67×10244-49

c212

composite cofactor 合成数の残り
15405176193473953696572953173150346862533889800787654279577303959626471596810243443165897848342880101349320921574686832056574167579852242775258486380645794941082869002338191504820423365501567312587489634964819911<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 04:15:00 UTC 2022 年 2 月 18 日 (金) 13 時 15 分 0 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:37:08 UTC 2023 年 6 月 21 日 (水) 16 時 37 分 8 秒 (日本時間)

67×10249-49

c201

composite cofactor 合成数の残り
435341702571044936093284339274770604867194515797483521710603895564520014005564042630619716947827801411173181980639186348961910937365845319193920160064117101660596581101866233171372884933363529289183449<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 16, 2022 21:25:51 UTC 2022 年 2 月 17 日 (木) 6 時 25 分 51 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:37:18 UTC 2023 年 6 月 21 日 (水) 16 時 37 分 18 秒 (日本時間)

67×10251-49

c226

name 名前Bob Backstrom
date 日付February 1, 2022 16:42:33 UTC 2022 年 2 月 2 日 (水) 1 時 42 分 33 秒 (日本時間)
composite number 合成数
5733604414422868202253606293248535342184329248931807953076214769022641494055342565884926320524597040244023741322400469009370490993661583560810847574891439146344297695910348749011030528255122663818111784324629677372907826694987<226>
prime factors 素因数
23123984618618716112883114903084168564582191131<47>
247950537460846930992736742920548054992570724290341360419619181975570350948544480139208481110471640248028365018564830150231526138427078983839622116130154251823335352620313095160977<180>
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 5733604414422868202253606293248535342184329248931807953076214769022641494055342565884926320524597040244023741322400469009370490993661583560810847574891439146344297695910348749011030528255122663818111784324629677372907826694987 (226 digits)
Using B1=45500000, B2=240492732496, polynomial Dickson(12), sigma=1:789456476
Step 1 took 171500ms
Step 2 took 51638ms
********** Factor found in step 2: 23123984618618716112883114903084168564582191131
Found prime factor of 47 digits: 23123984618618716112883114903084168564582191131
Prime cofactor 247950537460846930992736742920548054992570724290341360419619181975570350948544480139208481110471640248028365018564830150231526138427078983839622116130154251823335352620313095160977 has 180 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10254-49

c227

name 名前Bob Backstrom
date 日付February 10, 2022 15:47:51 UTC 2022 年 2 月 11 日 (金) 0 時 47 分 51 秒 (日本時間)
composite number 合成数
24034164566963091573338676388781881644495407990041431498567035125715666932566716606166397699883474139124012660023082829958280643020753421958354051238739030972812819791035069283323085666271141351567263345535733485031938132269761<227>
prime factors 素因数
566357912096312794536409887838951414388521372099<48>
42436353503040543340243606487384706052509492026624783299184054252215322512570650008041415369491683321348478765121416689943776760895571979480857540379409649119293885104649647652139<179>
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 24034164566963091573338676388781881644495407990041431498567035125715666932566716606166397699883474139124012660023082829958280643020753421958354051238739030972812819791035069283323085666271141351567263345535733485031938132269761 (227 digits)
Using B1=64070000, B2=388133141770, polynomial Dickson(30), sigma=1:3689660866
Step 1 took 242577ms
Step 2 took 85164ms
********** Factor found in step 2: 566357912096312794536409887838951414388521372099
Found prime factor of 48 digits: 566357912096312794536409887838951414388521372099
Prime cofactor 42436353503040543340243606487384706052509492026624783299184054252215322512570650008041415369491683321348478765121416689943776760895571979480857540379409649119293885104649647652139 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10255-49

c225

composite cofactor 合成数の残り
239694497888741152731104070318980399077313972517781227346127130309019006430930569587702583920464995233325725111970128278896636547146770192989487027857087263585569703597476862581833748102858333190178175055273908931826954585999<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 13:45:35 UTC 2022 年 2 月 18 日 (金) 22 時 45 分 35 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:37:30 UTC 2023 年 6 月 21 日 (水) 16 時 37 分 30 秒 (日本時間)
4511e61792 / 3905Dmitry DomanovJune 23, 2023 08:37:39 UTC 2023 年 6 月 23 日 (金) 17 時 37 分 39 秒 (日本時間)

67×10259-49

c193

composite cofactor 合成数の残り
8767254909138514466941630724854689257623655507060537122746242514124100713526059022809856859762713211860869297789125491371381663814788448163079123980646504886682768437160891651169428596678899201<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 2, 2021 17:28:56 UTC 2021 年 12 月 3 日 (金) 2 時 28 分 56 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 14:04:35 UTC 2023 年 7 月 13 日 (木) 23 時 4 分 35 秒 (日本時間)

67×10260-49

c205

composite cofactor 合成数の残り
3807222810511074340833819169798808876317292640073044046741551284016632223517075603343993742315880533655512719476149263273748952433137737108711160388342662835958849054910658314948948395624568884850386702071<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 16, 2022 08:31:17 UTC 2022 年 2 月 16 日 (水) 17 時 31 分 17 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:37:44 UTC 2023 年 6 月 21 日 (水) 16 時 37 分 44 秒 (日本時間)

67×10262-49

c172

name 名前Ignacio Santos
date 日付November 28, 2021 08:38:47 UTC 2021 年 11 月 28 日 (日) 17 時 38 分 47 秒 (日本時間)
composite number 合成数
1109754882915194143930355124679050188449208558209004849358637065692925720914984614840909204090020131114707357934278339409487965922847384052775273029893146614914083549104557<172>
prime factors 素因数
19328370440137940463049518770318305249641967<44>
composite cofactor 合成数の残り
57415853361887148026496182079138016812483954042278265581182948159971645633970361076112840968463181261154159562612503851265844771<128>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3194402324
Step 1 took 25953ms
Step 2 took 12109ms
********** Factor found in step 2: 19328370440137940463049518770318305249641967
Found prime factor of 44 digits: 19328370440137940463049518770318305249641967
Composite cofactor 57415853361887148026496182079138016812483954042278265581182948159971645633970361076112840968463181261154159562612503851265844771 has 128 digits
 
software ソフトウェア
GMP-ECM

c128

name 名前Mitchell Dickerman
date 日付November 30, 2021 14:57:41 UTC 2021 年 11 月 30 日 (火) 23 時 57 分 41 秒 (日本時間)
composite number 合成数
57415853361887148026496182079138016812483954042278265581182948159971645633970361076112840968463181261154159562612503851265844771<128>
prime factors 素因数
80456974080854780403227380960077536956636881492006375370921231<62>
713621833505538144989860091730620181415562045498303795231494055341<66>
factorization results 素因数分解の結果
P66 = 713621833505538144989860091730620181415562045498303795231494055341
P62 = 80456974080854780403227380960077536956636881492006375370921231

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62078ebinaNovember 22, 2021 13:17:39 UTC 2021 年 11 月 22 日 (月) 22 時 17 分 39 秒 (日本時間)

67×10266-49

c210

name 名前Bob Backstrom
date 日付December 28, 2021 06:30:56 UTC 2021 年 12 月 28 日 (火) 15 時 30 分 56 秒 (日本時間)
composite number 合成数
126126661309298457138791676040639071237389603216892123352961224970153174016368486331895475879030955783078453738814076022188913266772295618383996335841540993627672524949559528102596427120094695004266894518060487<210>
prime factors 素因数
9993527698590555224213324928059939093<37>
12620834715561635626897509937680133104653037463869979193407498785754756427112553199740343027551622510617675759679310016821160662249388889252468996965507750617069550306878059<173>
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 126126661309298457138791676040639071237389603216892123352961224970153174016368486331895475879030955783078453738814076022188913266772295618383996335841540993627672524949559528102596427120094695004266894518060487 (210 digits)
Using B1=36140000, B2=192389627446, polynomial Dickson(12), sigma=1:4073946997
Step 1 took 116646ms
Step 2 took 38831ms
********** Factor found in step 2: 9993527698590555224213324928059939093
Found prime factor of 37 digits: 9993527698590555224213324928059939093
Prime cofactor 12620834715561635626897509937680133104653037463869979193407498785754756427112553199740343027551622510617675759679310016821160662249388889252468996965507750617069550306878059 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10267-49

c222

name 名前Bob Backstrom
date 日付January 17, 2022 21:35:21 UTC 2022 年 1 月 18 日 (火) 6 時 35 分 21 秒 (日本時間)
composite number 合成数
122364690634824802263130528633487540071550660677934421684000730857744033629248835115388650744559571098680870288027293890407858499353556436246208055284874226993211785626705958239008330063248337567724880266761961541177972137<222>
prime factors 素因数
5839749631865666675341723549302674225965787<43>
20953756299263137658242991091170904374204424572316079412781803190649577239066860324107625728612621755445750993231836597365343068589552623106302502263448971245859833992559413391051<179>
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 122364690634824802263130528633487540071550660677934421684000730857744033629248835115388650744559571098680870288027293890407858499353556436246208055284874226993211785626705958239008330063248337567724880266761961541177972137 (222 digits)
Using B1=37120000, B2=192390318136, polynomial Dickson(12), sigma=1:2402018326
Step 1 took 141326ms
Step 2 took 44064ms
********** Factor found in step 2: 5839749631865666675341723549302674225965787
Found prime factor of 43 digits: 5839749631865666675341723549302674225965787
Prime cofactor 20953756299263137658242991091170904374204424572316079412781803190649577239066860324107625728612621755445750993231836597365343068589552623106302502263448971245859833992559413391051 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

67×10268-49

c232

composite cofactor 合成数の残り
2148060139274885612348567325519709639160257563366314234358837322636989122181576398044331508695960292801790237869430514699524529860030409947359733370393191242558312518070282955321875217827110451324524494835004701651865837496447279477<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 4, 2022 06:46:14 UTC 2022 年 3 月 4 日 (金) 15 時 46 分 14 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:38:30 UTC 2023 年 6 月 21 日 (水) 16 時 38 分 30 秒 (日本時間)

67×10269-49

c183

composite cofactor 合成数の残り
257618827702638375441532610484560377470147648874576100609176903624873797771369550883029397616309826225048312475252299735365014856898292344891622385050108671874724869181061403454218033<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 22, 2021 11:26:55 UTC 2021 年 11 月 22 日 (月) 20 時 26 分 55 秒 (日本時間)
2350Ignacio SantosNovember 22, 2021 21:37:28 UTC 2021 年 11 月 23 日 (火) 6 時 37 分 28 秒 (日本時間)
4511e64480Ignacio SantosNovember 28, 2021 08:40:31 UTC 2021 年 11 月 28 日 (日) 17 時 40 分 31 秒 (日本時間)
5043e61792 / 6415Dmitry DomanovApril 21, 2024 16:53:13 UTC 2024 年 4 月 22 日 (月) 1 時 53 分 13 秒 (日本時間)

67×10270-49

c179

name 名前Ignacio Santos
date 日付November 22, 2021 21:25:16 UTC 2021 年 11 月 23 日 (火) 6 時 25 分 16 秒 (日本時間)
composite number 合成数
10647002551580227607660192859649979193343687929298135956495522478767220600142251409114354538267287492100919153321910456694605170536230011347741404263023073662772582328333924243857<179>
prime factors 素因数
2118947908356858820200460177071643<34>
composite cofactor 合成数の残り
5024664603405215814010466181924014695046897636294740949504884073370744611631298684539673050564205221998777606885313913734644563226222590771458499<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3300968331
Step 1 took 8391ms
Step 2 took 4187ms
********** Factor found in step 2: 2118947908356858820200460177071643
Found prime factor of 34 digits: 2118947908356858820200460177071643
Composite cofactor 5024664603405215814010466181924014695046897636294740949504884073370744611631298684539673050564205221998777606885313913734644563226222590771458499 has 145 digits
 
software ソフトウェア
GMP-ECM

c145

name 名前Eric Jeancolas
date 日付November 30, 2021 17:05:56 UTC 2021 年 12 月 1 日 (水) 2 時 5 分 56 秒 (日本時間)
composite number 合成数
5024664603405215814010466181924014695046897636294740949504884073370744611631298684539673050564205221998777606885313913734644563226222590771458499<145>
prime factors 素因数
378369235051199514404271162533896419850013466823202003657<57>
13279791637196129148280576362065009026272075076798663308993124596869065177419263114289707<89>
factorization results 素因数分解の結果
5024664603405215814010466181924014695046897636294740949504884073370744611631298684539673050564205221998777606885313913734644563226222590771458499=378369235051199514404271162533896419850013466823202003657*13279791637196129148280576362065009026272075076798663308993124596869065177419263114289707

cado polynomial
n: 5024664603405215814010466181924014695046897636294740949504884073370744611631298684539673050564205221998777606885313913734644563226222590771458499
skew: 155310.89
c0: 154992005416645357511606064870938
c1: 3078219636686956663856027307
c2: -11084942154641479168726
c3: -355596434296367521
c4: 697215724182
c5: 2494800
Y0: -6550152894517617188943679772
Y1: 52372507286252431403
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.918e-07
# f(x) = 2494800*x^5+697215724182*x^4-355596434296367521*x^3-11084942154641479168726*x^2+3078219636686956663856027307*x+154992005416645357511606064870938
# g(x) = 52372507286252431403*x-6550152894517617188943679772

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

cado log (extracts)
Info:Square Root: Factors: 13279791637196129148280576362065009026272075076798663308993124596869065177419263114289707 378369235051199514404271162533896419850013466823202003657
Info:Square Root: Total cpu/real time for sqrt: 10080.6/1735.32
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78248/42.680/52.149/57.560/0.904
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64160/40.740/46.715/52.880/1.173
Info:Polynomial Selection (size optimized): Total time: 78199.3
Info:Generate Factor Base: Total cpu/real time for makefb: 21.39/2.22503
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1748.24/1583.6
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1287.5s
Info:Quadratic Characters: Total cpu/real time for characters: 140.51/35.5447
Info:Square Root: Total cpu/real time for sqrt: 10080.6/1735.32
Info:Linear Algebra: Total cpu/real time for bwc: 229554/41855
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 148583.45, WCT time 27122.34, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (103424 iterations)
Info:Linear Algebra: Lingen CPU time 1576.65, WCT time 136.56
Info:Linear Algebra: Mksol: CPU time 78281.91,  WCT time 14324.89, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (51712 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1342.63/1369.23
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48184604
Info:Lattice Sieving: Average J: 3796.08 for 1031678 special-q, max bucket fill -bkmult 1.0,1s:1.080130
Info:Lattice Sieving: Total time: 2.2191e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 666.75/57.0867
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 398.37/392.833
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 391.79999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11414.9
Info:Polynomial Selection (root optimized): Rootsieve time: 11410.8
Info:Filtering - Merging: Merged matrix has 1677750 rows and total weight 285973639 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 933.08/107.405
Info:Filtering - Merging: Total cpu/real time for replay: 127.13/99.5918
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.54688e+06/423582
Info:root: Cleaning up computation data in /tmp/cado.yt15vl4w
13279791637196129148280576362065009026272075076798663308993124596869065177419263114289707 378369235051199514404271162533896419850013466823202003657
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 22, 2021 19:45:55 UTC 2021 年 11 月 23 日 (火) 4 時 45 分 55 秒 (日本時間)
2350Ignacio SantosNovember 27, 2021 21:11:04 UTC 2021 年 11 月 28 日 (日) 6 時 11 分 4 秒 (日本時間)
4511e64480Ignacio SantosNovember 27, 2021 23:12:18 UTC 2021 年 11 月 28 日 (日) 8 時 12 分 18 秒 (日本時間)

67×10271-49

c236

composite cofactor 合成数の残り
21758387155352850586479408361129945759715627597148291846897960998680901670928856906486211583884047393230798434885420142768679566140452528877769491786750621365505759091631483145279976438072874831160724695657453144682681335628037805908177<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 2, 2022 14:18:37 UTC 2022 年 3 月 2 日 (水) 23 時 18 分 37 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:38:42 UTC 2023 年 6 月 21 日 (水) 16 時 38 分 42 秒 (日本時間)

67×10272-49

c230

composite cofactor 合成数の残り
68437411911035594869269936830650757138359736925015235038709405878859682976211307195737084684422912723713001505946520981948522600344812008734418143163058323435527160955976136827342504125324823065263784159258551160373191967818782619<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 20, 2022 10:29:21 UTC 2022 年 2 月 20 日 (日) 19 時 29 分 21 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:38:51 UTC 2023 年 6 月 21 日 (水) 16 時 38 分 51 秒 (日本時間)

67×10274-49

c270

composite cofactor 合成数の残り
165407103914173956923052615259126275239395923381454456758633016442947386715883920750740875699770800066755344624466623808945413680698126604078593555739231503782638277870109504440316673134825058534364683657679382769813549162447551135482736929629399211773430780336403486683<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 30, 2021 04:31:16 UTC 2021 年 11 月 30 日 (火) 13 時 31 分 16 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 14:19:58 UTC 2023 年 7 月 13 日 (木) 23 時 19 分 58 秒 (日本時間)

67×10277-49

c276

composite cofactor 合成数の残り
503003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003003<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 30, 2021 00:25:11 UTC 2021 年 11 月 30 日 (火) 9 時 25 分 11 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 14:49:40 UTC 2023 年 7 月 13 日 (木) 23 時 49 分 40 秒 (日本時間)

67×10278-49

c221

name 名前Dmitry Domanov
date 日付June 23, 2023 00:08:26 UTC 2023 年 6 月 23 日 (金) 9 時 8 分 26 秒 (日本時間)
composite number 合成数
32403759038275741149318491615656941540086197183790035774530428835281290791610511284330670719225807069950699995089012383427378361791948804979023290214509813383776247301904580451453274079562227538645944271784289046376185707<221>
prime factors 素因数
334314571022932797423628723639951873867561031<45>
composite cofactor 合成数の残り
96925954914639236170682189967267353798180087270593312225135750322277462048885571436609034609039533552533386224245853533866528558343598048035492171849435823905149299291876324797<176>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b0b380aed842 with GMP-ECM 7.0.5-dev on Wed Jun 21 13:10:52 2023 
Input number is 32403759038275741149318491615656941540086197183790035774530428835281290791610511284330670719225807069950699995089012383427378361791948804979023290214509813383776247301904580451453274079562227538645944271784289046376185707 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3492250418
Step 1 took 0ms
Step 2 took 3832ms
********** Factor found in step 2: 334314571022932797423628723639951873867561031
Found prime factor of 45 digits: 334314571022932797423628723639951873867561031
Composite cofactor 96925954914639236170682189967267353798180087270593312225135750322277462048885571436609034609039533552533386224245853533866528558343598048035492171849435823905149299291876324797 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 14:44:08 UTC 2022 年 3 月 3 日 (木) 23 時 44 分 8 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:39:08 UTC 2023 年 6 月 21 日 (水) 16 時 39 分 8 秒 (日本時間)
4511e64480Ignacio SantosJuly 17, 2023 06:37:59 UTC 2023 年 7 月 17 日 (月) 15 時 37 分 59 秒 (日本時間)
5043e61792 / 6452Dmitry DomanovMay 10, 2024 19:34:57 UTC 2024 年 5 月 11 日 (土) 4 時 34 分 57 秒 (日本時間)

67×10279-49

c251

composite cofactor 合成数の残り
19159359857144030844559738587407345636386582147228649591362221431141381681964447993252350141016758685672421820884060632556834507748510755051072132722291556788856744816242460781091662642574118613415423298471454654009893349391500922850899066834893384207<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 1, 2022 23:26:56 UTC 2022 年 3 月 2 日 (水) 8 時 26 分 56 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:39:18 UTC 2023 年 6 月 21 日 (水) 16 時 39 分 18 秒 (日本時間)

67×10281-49

c248

composite cofactor 合成数の残り
26058788096947287965554671512196193265378181277998254090105337603719943394317404391600945468796758566502845033188998265968312797575199307897449897186704405969573528409190839121783159911875651033959626515907599230262596626440810771615033111682714197<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 28, 2022 23:37:04 UTC 2022 年 3 月 1 日 (火) 8 時 37 分 4 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:39:27 UTC 2023 年 6 月 21 日 (水) 16 時 39 分 27 秒 (日本時間)

67×10283-49

c251

composite cofactor 合成数の残り
12401599718957486359975697614391093691079859429961166843248258593370040776255490160003842497774170036706284946078915786165890661131730183788018647979314418662499240230105846645707093631543745542406697638485191390722769998818255177322496606984903531547<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 04:11:38 UTC 2022 年 3 月 3 日 (木) 13 時 11 分 38 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:39:35 UTC 2023 年 6 月 21 日 (水) 16 時 39 分 35 秒 (日本時間)

67×10286-49

c252

composite cofactor 合成数の残り
147361768799695990654343925297945234432089422806020700793979808569313207113411161382566755919385587429890402612417188052555139242234192057991267503970404983701398326749500250885529560080374632499089879333533240922655943229548275677701048357985791625307<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 12:28:16 UTC 2022 年 3 月 6 日 (日) 21 時 28 分 16 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:39:43 UTC 2023 年 6 月 21 日 (水) 16 時 39 分 43 秒 (日本時間)

67×10288-49

c208

composite cofactor 合成数の残り
3405503644586017198081352732357672749387586225157132175929356404574060536291889668824510697757057538671601977254489074196721558101633007363281976336490077980466765523134258359203125368153303627147451829058867<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 22, 2022 07:13:16 UTC 2022 年 2 月 22 日 (火) 16 時 13 分 16 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:39:52 UTC 2023 年 6 月 21 日 (水) 16 時 39 分 52 秒 (日本時間)

67×10289-49

c272

name 名前Ignacio Santos
date 日付July 13, 2023 14:50:36 UTC 2023 年 7 月 13 日 (木) 23 時 50 分 36 秒 (日本時間)
composite number 合成数
16525910048425814595579195125593030941828230594992612423380731136139253297503164073182391845300775083074569441171943395046130707901213705996725615633305734153889255003294009150126457152602057905629224654816360911047314185787366277345439276891048860904257639226293259425171<272>
prime factors 素因数
513017741887918755088047988499229608663329<42>
composite cofactor 合成数の残り
32213135529406900957106767878292804884709396294619818297241441100837948755059729574556231059223207647555219694017935121847097414918922372591820065992487529025678544354518275674845760178795163840258380151325505697977164076910056499<230>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4142106207
Step 1 took 9812ms
Step 2 took 3766ms
********** Factor found in step 2: 513017741887918755088047988499229608663329
Found prime factor of 42 digits: 513017741887918755088047988499229608663329
Composite cofactor 32213135529406900957106767878292804884709396294619818297241441100837948755059729574556231059223207647555219694017935121847097414918922372591820065992487529025678544354518275674845760178795163840258380151325505697977164076910056499 has 230 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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 30, 2021 00:24:42 UTC 2021 年 11 月 30 日 (火) 9 時 24 分 42 秒 (日本時間)
2350Ignacio SantosJuly 15, 2023 07:35:57 UTC 2023 年 7 月 15 日 (土) 16 時 35 分 57 秒 (日本時間)

67×10290-49

c241

name 名前Dmitry Domanov
date 日付June 23, 2023 07:01:34 UTC 2023 年 6 月 23 日 (金) 16 時 1 分 34 秒 (日本時間)
composite number 合成数
1072192013518995507443191923477699626284408346930375009317946395510482206615595891557682148330293786625456684892215754894732767599966401164127094928377974258871532659016976343344903275364660997903484986981385077475319725611291849763126243973<241>
prime factors 素因数
7970550343879900642066907497242848048819527<43>
134519194693032250215155502084587418897656013386270608459576465835135448993828007476563413306589033227852452547738831544672603433012222745570118485733280740266966644697959638237633709020622433900499<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f26f78796d0e with GMP-ECM 7.0.5-dev on Wed Jun 21 14:31:37 2023 
Input number is 1072192013518995507443191923477699626284408346930375009317946395510482206615595891557682148330293786625456684892215754894732767599966401164127094928377974258871532659016976343344903275364660997903484986981385077475319725611291849763126243973 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4143215526
Step 1 took 0ms
Step 2 took 4402ms
********** Factor found in step 2: 7970550343879900642066907497242848048819527
Found prime factor of 43 digits: 7970550343879900642066907497242848048819527
Prime cofactor 134519194693032250215155502084587418897656013386270608459576465835135448993828007476563413306589033227852452547738831544672603433012222745570118485733280740266966644697959638237633709020622433900499 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 2, 2022 23:10:08 UTC 2022 年 3 月 3 日 (木) 8 時 10 分 8 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:40:04 UTC 2023 年 6 月 21 日 (水) 16 時 40 分 4 秒 (日本時間)

67×10291-49

c286

composite cofactor 合成数の残り
5068288761137753667852494944571076017371975782354669467387906851206842764737902902480375132040269142775358615470595906698704303325130270150381422770021026590209639552380839992459596661041622602812885133211270784900917224102784290907066344353759898670534905682928460272029430569436615073<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 30, 2021 00:24:30 UTC 2021 年 11 月 30 日 (火) 9 時 24 分 30 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 15:11:21 UTC 2023 年 7 月 14 日 (金) 0 時 11 分 21 秒 (日本時間)

67×10292-49

c239

composite cofactor 合成数の残り
13132714814722173283980991095482049790068694350137360119159682674808831928037415529499640065188422051700169536523369366235090294565893009337521309531975963303536588865915932729435098741861589735562707782398946668732329680036191797232753857<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 18:28:36 UTC 2022 年 3 月 4 日 (金) 3 時 28 分 36 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:40:18 UTC 2023 年 6 月 21 日 (水) 16 時 40 分 18 秒 (日本時間)

67×10293-49

c231

composite cofactor 合成数の残り
261923582476412343209438871803172158875188692442780890089700214256930003548128467150845148104733254262199907674429992544133525404400705960658619282972725053715469564426705516101664435404452290821969889508393909112739403702199942123<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 22, 2022 13:10:19 UTC 2022 年 2 月 22 日 (火) 22 時 10 分 19 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:40:27 UTC 2023 年 6 月 21 日 (水) 16 時 40 分 27 秒 (日本時間)

67×10294-49

c279

composite cofactor 合成数の残り
263599958106656155919725629666478557680729409394163441687171345871012718945485959284714036823643720481009325152205938303841848435798180579498494020895371558797451323165894649116346872096765310766357921861679419443839320139162826119950593595841843768268780140703604924167012909363<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 24, 2021 07:58:55 UTC 2021 年 11 月 24 日 (水) 16 時 58 分 55 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 15:19:53 UTC 2023 年 7 月 14 日 (金) 0 時 19 分 53 秒 (日本時間)

67×10295-49

c242

name 名前Seth Troisi
date 日付November 17, 2023 08:19:31 UTC 2023 年 11 月 17 日 (金) 17 時 19 分 31 秒 (日本時間)
composite number 合成数
29140157884482357292377262235076763762966464273906474560950882601879511545300653313435553484227651607389186403914639937218942782197362631015212116435014923483907807625089441800091339949443695935504470631096528917031602774983600315460687734763<242>
prime factors 素因数
82749332757746088793015218092662748977<38>
352149762582279842769797978303210999332664579479437001955967797858531249482512508101156418172178892429669154680430300370790960323886233790581338992431854073419531534668506187810212137126051866032361734619<204>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-gpu, --enable-assert] [P-1]
Tuned for x86_64/params.h
Running on five
Input number is 123 (3 digits)
GPU: will use device -1: NVIDIA GeForce GTX 1080 Ti, compute capability 6.1, 28 MPs.
GPU: maxSharedPerBlock = 49152 maxThreadsPerBlock = 1024 maxRegsPerBlock = 65536
GPU: Selection and initialization of the device took 4ms
GPU P-1: Loading numbers from 'pm1_stdkmd_batch_12_820.txt'
Computing batch product (of 5770796026 bits) of primes up to B1=4000000000 took 200391ms
GPU: Very Large B1! Check magnitute of B1.
GPU: Large B1, S = 5770796026 bits = 687 MB
GPU P-1: Largest number line 1792, 820 bits
GPU: Using device code targeted for architecture compile_61
GPU: Ptx version is 61
GPU: maxThreadsPerBlock = 1024
GPU: numRegsPerThread = 48 sharedMemPerBlock = 0 bytes
Copying 917504 bytes of instances data to GPU
CGBN<1024, 8> running kernel<56 block x 256 threads> input number is 820 bits
Computing 2000 bits/call, 0/5770796026 (0.0%)
Computing 2200 bits/call, 2000/5770796026 (0.0%)
Computing 2420 bits/call, 4200/5770796026 (0.0%)
Computing 5184 bits/call, 31866/5770796026 (0.0%)
Computing 13438 bits/call, 114459/5770796026 (0.0%)
Computing 13438 bits/call, 1189499/5770796026 (0.0%), ETA 36942 + 8 = 36950 seconds (~20619 ms/instances)
Computing 13438 bits/call, 2533299/5770796026 (0.0%), ETA 36579 + 16 = 36595 seconds (~20421 ms/instances)
Computing 13438 bits/call, 3877099/5770796026 (0.1%), ETA 36506 + 25 = 36531 seconds (~20386 ms/instances)
Computing 13438 bits/call, 5220899/5770796026 (0.1%), ETA 36512 + 33 = 36545 seconds (~20393 ms/instances)
Computing 13438 bits/call, 13283699/5770796026 (0.2%), ETA 36603 + 84 = 36687 seconds (~20473 ms/instances)
Computing 13438 bits/call, 26721699/5770796026 (0.5%), ETA 36740 + 171 = 36911 seconds (~20598 ms/instances)
Computing 13438 bits/call, 40159699/5770796026 (0.7%), ETA 36785 + 258 = 37043 seconds (~20671 ms/instances)
Computing 13438 bits/call, 53597699/5770796026 (0.9%), ETA 36780 + 345 = 37124 seconds (~20717 ms/instances)
Computing 13438 bits/call, 134225699/5770796026 (2.3%), ETA 36401 + 867 = 37267 seconds (~20797 ms/instances)
Computing 13438 bits/call, 268605699/5770796026 (4.7%), ETA 35587 + 1737 = 37325 seconds (~20829 ms/instances)
Computing 13169 bits/call, 400362233/5770796026 (6.9%), ETA 35245 + 2627 = 37872 seconds (~21134 ms/instances)
Computing 13037 bits/call, 530838376/5770796026 (9.2%), ETA 34615 + 3507 = 38121 seconds (~21273 ms/instances)
Computing 13037 bits/call, 661208376/5770796026 (11.5%), ETA 34067 + 4408 = 38475 seconds (~21470 ms/instances)
Computing 13037 bits/call, 791578376/5770796026 (13.7%), ETA 33118 + 5265 = 38383 seconds (~21419 ms/instances)
Computing 13037 bits/call, 921948376/5770796026 (16.0%), ETA 32183 + 6119 = 38303 seconds (~21374 ms/instances)
Computing 12906 bits/call, 1051064581/5770796026 (18.2%), ETA 31240 + 6957 = 38198 seconds (~21316 ms/instances)
Computing 12906 bits/call, 1180124581/5770796026 (20.4%), ETA 30319 + 7794 = 38113 seconds (~21268 ms/instances)
Computing 12906 bits/call, 1309184581/5770796026 (22.7%), ETA 29414 + 8631 = 38045 seconds (~21230 ms/instances)
Computing 12906 bits/call, 1438244581/5770796026 (24.9%), ETA 28521 + 9468 = 37989 seconds (~21199 ms/instances)
Computing 12906 bits/call, 1567304581/5770796026 (27.2%), ETA 27638 + 10305 = 37943 seconds (~21174 ms/instances)
Computing 12906 bits/call, 1696364581/5770796026 (29.4%), ETA 26762 + 11142 = 37904 seconds (~21152 ms/instances)
Computing 12906 bits/call, 1825424581/5770796026 (31.6%), ETA 25936 + 12000 = 37936 seconds (~21169 ms/instances)
Computing 12906 bits/call, 1954484581/5770796026 (33.9%), ETA 25101 + 12855 = 37956 seconds (~21181 ms/instances)
Computing 12906 bits/call, 2083544581/5770796026 (36.1%), ETA 24265 + 13711 = 37976 seconds (~21192 ms/instances)
Computing 12906 bits/call, 2212604581/5770796026 (38.3%), ETA 23401 + 14552 = 37953 seconds (~21179 ms/instances)
Computing 12906 bits/call, 2341664581/5770796026 (40.6%), ETA 22561 + 15406 = 37967 seconds (~21187 ms/instances)
Computing 12906 bits/call, 2470724581/5770796026 (42.8%), ETA 21696 + 16243 = 37939 seconds (~21171 ms/instances)
Computing 12906 bits/call, 2599784581/5770796026 (45.1%), ETA 20858 + 17100 = 37958 seconds (~21182 ms/instances)
Computing 12906 bits/call, 2728844581/5770796026 (47.3%), ETA 20013 + 17953 = 37966 seconds (~21186 ms/instances)
Computing 12776 bits/call, 2857571790/5770796026 (49.5%), ETA 19166 + 18800 = 37965 seconds (~21186 ms/instances)
Computing 12647 bits/call, 2984743058/5770796026 (51.7%), ETA 18323 + 19630 = 37952 seconds (~21179 ms/instances)
Computing 12647 bits/call, 3111213058/5770796026 (53.9%), ETA 17498 + 20469 = 37967 seconds (~21187 ms/instances)
Computing 12647 bits/call, 3237683058/5770796026 (56.1%), ETA 16661 + 21295 = 37956 seconds (~21181 ms/instances)
Computing 12647 bits/call, 3364153058/5770796026 (58.3%), ETA 15826 + 22123 = 37949 seconds (~21177 ms/instances)
Computing 12647 bits/call, 3490623058/5770796026 (60.5%), ETA 14989 + 22946 = 37935 seconds (~21169 ms/instances)
Computing 12647 bits/call, 3617093058/5770796026 (62.7%), ETA 14151 + 23767 = 37918 seconds (~21160 ms/instances)
Computing 13632 bits/call, 3754090843/5770796026 (65.1%), ETA 13250 + 24665 = 37914 seconds (~21158 ms/instances)
Computing 13632 bits/call, 3890410843/5770796026 (67.4%), ETA 12356 + 25564 = 37920 seconds (~21161 ms/instances)
Computing 13632 bits/call, 4026730843/5770796026 (69.8%), ETA 11472 + 26487 = 37958 seconds (~21182 ms/instances)
Computing 13632 bits/call, 4163050843/5770796026 (72.1%), ETA 10578 + 27391 = 37969 seconds (~21188 ms/instances)
Computing 13494 bits/call, 4298443107/5770796026 (74.5%), ETA 9688 + 28283 = 37971 seconds (~21189 ms/instances)
Computing 13224 bits/call, 4431061805/5770796026 (76.8%), ETA 8819 + 29167 = 37985 seconds (~21197 ms/instances)
Computing 13224 bits/call, 4563301805/5770796026 (79.1%), ETA 7955 + 30063 = 38018 seconds (~21215 ms/instances)
Computing 13091 bits/call, 4695125284/5770796026 (81.4%), ETA 7088 + 30937 = 38025 seconds (~21219 ms/instances)
Computing 13091 bits/call, 4826035284/5770796026 (83.6%), ETA 6225 + 31797 = 38022 seconds (~21218 ms/instances)
Computing 12959 bits/call, 4956455442/5770796026 (85.9%), ETA 5365 + 32651 = 38016 seconds (~21214 ms/instances)
Computing 12829 bits/call, 5084847244/5770796026 (88.1%), ETA 4519 + 33501 = 38020 seconds (~21216 ms/instances)
Computing 12829 bits/call, 5213137244/5770796026 (90.3%), ETA 3674 + 34343 = 38016 seconds (~21215 ms/instances)
Computing 12700 bits/call, 5340281867/5770796026 (92.5%), ETA 2835 + 35169 = 38004 seconds (~21207 ms/instances)
Computing 12573 bits/call, 5466356926/5770796026 (94.7%), ETA 2005 + 36002 = 38007 seconds (~21209 ms/instances)
Computing 12573 bits/call, 5592086926/5770796026 (96.9%), ETA 1177 + 36832 = 38009 seconds (~21210 ms/instances)
Computing 12573 bits/call, 5717816926/5770796026 (99.1%), ETA 349 + 37661 = 38010 seconds (~21211 ms/instances)
Copying results back to CPU ...
GPU P-1: factor 82749332757746088793015218092662748977 found in Step 1 with curve 279
Input number is 29140157884482357292377262235076763762966464273906474560950882601879511545300653313435553484227651607389186403914639937218942782197362631015212116435014923483907807625089441800091339949443695935504470631096528917031602774983600315460687734763
********** Factor found in step 1: 82749332757746088793015218092662748977

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 03:16:48 UTC 2022 年 3 月 3 日 (木) 12 時 16 分 48 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:40:40 UTC 2023 年 6 月 21 日 (水) 16 時 40 分 40 秒 (日本時間)

67×10296-49

c245

name 名前Dmitry Domanov
date 日付June 21, 2023 17:27:55 UTC 2023 年 6 月 22 日 (木) 2 時 27 分 55 秒 (日本時間)
composite number 合成数
20805613612724974014444509481965817407547536511241178763172873887762782438096755196158610445737183938920039607131741004488528220900921259964092362629610439175317863061483513855501540244771978567955046830373891235092612103927819513884539413195037<245>
prime factors 素因数
1679128594186290196857229525432469802587<40>
12390720808853490464566659919137710347691225787822277999399504002486367791337876553756231036507063528896225805035198261836255630037053565029528514085795300385120529886988308264429507539710358820619177701351<206>
factorization results 素因数分解の結果
GPU: factor 1679128594186290196857229525432469802587 found in Step 1 with curve 211 (-sigma 3:2110298961)
Computing 1792 Step 1 took 327ms of CPU time / 267611ms of GPU time
Throughput: 6.696 curves per second (on average 149.34ms per Step 1)
********** Factor found in step 1: 1679128594186290196857229525432469802587
Found prime factor of 40 digits: 1679128594186290196857229525432469802587
Prime cofactor 12390720808853490464566659919137710347691225787822277999399504002486367791337876553756231036507063528896225805035198261836255630037053565029528514085795300385120529886988308264429507539710358820619177701351 has 206 digits
Peak memory usage: 9426MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 4, 2022 03:36:17 UTC 2022 年 3 月 4 日 (金) 12 時 36 分 17 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:40:48 UTC 2023 年 6 月 21 日 (水) 16 時 40 分 48 秒 (日本時間)

67×10297-49

c280

composite cofactor 合成数の残り
3252915338496755293702486258093324630639387895639680534764833723278971645353605662398026464828742669072249989000236318612572571117043313861669718039745589520500179799881945141604268834338145626654592986533689607152863712295034391291169435839201718203965565670754351012523002027927<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovNovember 24, 2021 04:44:03 UTC 2021 年 11 月 24 日 (水) 13 時 44 分 3 秒 (日本時間)
2350Ignacio SantosJuly 13, 2023 15:35:01 UTC 2023 年 7 月 14 日 (金) 0 時 35 分 1 秒 (日本時間)

67×10298-49

c265

composite cofactor 合成数の残り
2359700098185873167372322742464523340218924465569647590813713269359468836905448641072025174889164845385522740184448738099649514040220931600103834410889242484703047694680139824788027007362043406107404022959189351883494448765222057995880820383819850125777264515745697<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 18:39:52 UTC 2022 年 3 月 7 日 (月) 3 時 39 分 52 秒 (日本時間)
1792Dmitry DomanovJune 21, 2023 07:41:02 UTC 2023 年 6 月 21 日 (水) 16 時 41 分 2 秒 (日本時間)

67×10300-49

c266

composite cofactor 合成数の残り
72345457738327509603783784415181430175421415494125971874734868390903816259678221925410154901269930194996760324158309111008421696314061129639679933376773664618940483311570241095550310420662209813414904748339981585967242518653310963313457322810040782678175610529263969<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 21, 2021 10:08:15 UTC 2021 年 11 月 21 日 (日) 19 時 8 分 15 秒 (日本時間)
4511e63600Dmitry DomanovNovember 22, 2021 23:04:26 UTC 2021 年 11 月 23 日 (火) 8 時 4 分 26 秒 (日本時間)
5043e6200 / 6694Dmitry DomanovNovember 23, 2021 15:10:51 UTC 2021 年 11 月 24 日 (水) 0 時 10 分 51 秒 (日本時間)