Table of contents 目次

26×10109-53

c110

name 名前Dmitry Domanov
date 日付December 23, 2022 14:49:46 UTC 2022 年 12 月 23 日 (金) 23 時 49 分 46 秒 (日本時間)
composite number 合成数
17333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<110>
prime factors 素因数
333758981263463574972190226724949606117<39>
51933683605208212776843757628156354775822743765298543521787974716220849<71>
factorization results 素因数分解の結果
N=17333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 110 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=333758981263463574972190226724949606117 (pp39)
 r2=51933683605208212776843757628156354775822743765298543521787974716220849 (pp71)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000
deg: 4
c4: 52
c0: -1
skew: 0.37
# Murphy_E = 1.405e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 415001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43343 x 43568
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10119-53

c115

name 名前Dmitry Domanov
date 日付December 24, 2022 22:42:46 UTC 2022 年 12 月 25 日 (日) 7 時 42 分 46 秒 (日本時間)
composite number 合成数
2158921535657495401912306267930466119463092821170716720432116448906215618136601608396544064834074424668169608197259<115>
prime factors 素因数
226240144688743536545776611794509764751<39>
9542610302993284135951340488183124164165280880837866650097426615568600189509<76>
factorization results 素因数分解の結果
N=2158921535657495401912306267930466119463092821170716720432116448906215618136601608396544064834074424668169608197259
  ( 115 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=226240144688743536545776611794509764751 (pp39)
 r2=9542610302993284135951340488183124164165280880837866650097426615568600189509 (pp76)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2158921535657495401912306267930466119463092821170716720432116448906215618136601608396544064834074424668169608197259
m: 200000000000000000000000000000
deg: 4
c4: 325
c0: -1
skew: 0.24
# Murphy_E = 4.358e-08
type: snfs
lss: 1
rlim: 690000
alim: 690000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 690000/690000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [345000, 645001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62209 x 62436
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,690000,690000,25,25,45,45,2.2,2.2,50000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10128-53

c111

name 名前Dmitry Domanov
date 日付December 25, 2022 22:11:49 UTC 2022 年 12 月 26 日 (月) 7 時 11 分 49 秒 (日本時間)
composite number 合成数
233902731765488208158494324581548125720220760572829180263897705702887430087785690361659519294600818026120183431<111>
prime factors 素因数
2566522083977439053311555448356682522105517560808990091<55>
91136068232461904713258388893595477392957035557917786741<56>
factorization results 素因数分解の結果
N=233902731765488208158494324581548125720220760572829180263897705702887430087785690361659519294600818026120183431
  ( 111 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=2566522083977439053311555448356682522105517560808990091 (pp55)
 r2=91136068232461904713258388893595477392957035557917786741 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 233902731765488208158494324581548125720220760572829180263897705702887430087785690361659519294600818026120183431
m: 100000000000000000000000000000000
deg: 4
c4: 26
c0: -5
skew: 0.66
# Murphy_E = 1.64e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120454 x 120679
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10138-53

c112

name 名前anonymous
date 日付January 7, 2023 08:43:06 UTC 2023 年 1 月 7 日 (土) 17 時 43 分 6 秒 (日本時間)
composite number 合成数
9024329414906603254001269546833912935842841242578988347063142869887995520102107236525049519049839121848552218559<112>
prime factors 素因数
17851023304662185479949089053273782907071<41>
505535691757777387041567607867480503937083446707707028046657993160118529<72>
factorization results 素因数分解の結果
17851023304662185479949089053273782907071
software ソフトウェア
GMP-ECM 7.0.4 B1=3000000, sigma=1840935760

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10140-53

c132

name 名前Bob Backstrom
date 日付December 24, 2022 08:58:01 UTC 2022 年 12 月 24 日 (土) 17 時 58 分 1 秒 (日本時間)
composite number 合成数
458382130204665849313149241375326675831823429207719888131453261748818604022662669916514871440865174338939384690412548210109149450387<132>
prime factors 素因数
104050628443625220104648304058337674125338056958496453241<57>
4405375893073225844488202743523702044807777682935182504030498669543300249707<76>
factorization results 素因数分解の結果
Number: n
N=458382130204665849313149241375326675831823429207719888131453261748818604022662669916514871440865174338939384690412548210109149450387  ( 132 digits)
SNFS difficulty: 141 digits.
Divisors found:

Sat Dec 24 19:54:07 2022  p57 factor: 104050628443625220104648304058337674125338056958496453241
Sat Dec 24 19:54:07 2022  p76 factor: 4405375893073225844488202743523702044807777682935182504030498669543300249707
Sat Dec 24 19:54:07 2022  elapsed time 00:02:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 26x10^140-5 = 86(139)5
#
n: 458382130204665849313149241375326675831823429207719888131453261748818604022662669916514871440865174338939384690412548210109149450387
m: 100000000000000000000000000000000000
deg: 4
c4: 26
c0: -5
skew: 0.66
# Murphy_E = 4.185e-09
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6395000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 425588 hash collisions in 6427415 relations (6722476 unique)
Msieve: matrix is 221244 x 221469 (73.1 MB)

Sieving start time : 2022/12/24 19:35:26
Sieving end time  : 2022/12/24 19:50:56

Total sieving time: 0hrs 15min 30secs.

Total relation processing time: 0hrs 1min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 6sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10141-53

c124

name 名前Dmitry Domanov
date 日付January 9, 2023 01:03:39 UTC 2023 年 1 月 9 日 (月) 10 時 3 分 39 秒 (日本時間)
composite number 合成数
2040634042796090196378120190433860273321225248126768742744941452854935306184140163172153448266485934866664734972621118931947<124>
prime factors 素因数
508311515241120664632175053890018202953<39>
4014534358577540789429491844823642269511158801360665693241770669229108227020719633299<85>
factorization results 素因数分解の結果
N=2040634042796090196378120190433860273321225248126768742744941452854935306184140163172153448266485934866664734972621118931947
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=508311515241120664632175053890018202953 (pp39)
 r2=4014534358577540789429491844823642269511158801360665693241770669229108227020719633299 (pp85)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2040634042796090196378120190433860273321225248126768742744941452854935306184140163172153448266485934866664734972621118931947
m: 100000000000000000000000000000000000
deg: 4
c4: 52
c0: -1
skew: 0.37
# Murphy_E = 4.046e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 2205001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 235972 x 236197
Total sieving time: 0.00 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,141.000,4,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 0.05 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10144-53

c112

name 名前Eric Jeancolas
date 日付January 9, 2023 17:37:27 UTC 2023 年 1 月 10 日 (火) 2 時 37 分 27 秒 (日本時間)
composite number 合成数
5266255094432723842323398566800498832919110460617534589459982887133916202987925151018853814026667735491108871053<112>
prime factors 素因数
337403977222422206250053827279850385273979<42>
15608159505959595045037407098366934465736681269486691635060933734630807<71>
factorization results 素因数分解の結果
5266255094432723842323398566800498832919110460617534589459982887133916202987925151018853814026667735491108871053=337403977222422206250053827279850385273979*15608159505959595045037407098366934465736681269486691635060933734630807

cado polynomial
n: 5266255094432723842323398566800498832919110460617534589459982887133916202987925151018853814026667735491108871053
skew: 0.66
type: snfs
c0: -5
c4: 26
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 26*x^4-5
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1860000
tasks.lim1 = 1860000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15608159505959595045037407098366934465736681269486691635060933734630807 337403977222422206250053827279850385273979
Info:Square Root: Total cpu/real time for sqrt: 76.64/15.3066
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.21/0.296333
Info:Generate Free Relations: Total cpu/real time for freerel: 30.48/4.08641
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6074746
Info:Lattice Sieving: Average J: 1897.1 for 131273 special-q, max bucket fill -bkmult 1.0,1s:1.110710
Info:Lattice Sieving: Total time: 11602.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 13.88/10.1594
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.24/19.3319
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.2/17.5205
Info:Filtering - Merging: Merged matrix has 226757 rows and total weight 38747012 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.64/6.84339
Info:Filtering - Merging: Total cpu/real time for replay: 6.77/5.56309
Info:Linear Algebra: Total cpu/real time for bwc: 517.85/137.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 79.76, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 19.58, WCT time 5.35
Info:Linear Algebra: Mksol: WCT time 47.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.84/2.15696
Info:Square Root: Total cpu/real time for sqrt: 76.64/15.3066
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31423.4/6135.62
Info:root: Cleaning up computation data in /tmp/cado.df95zuei
15608159505959595045037407098366934465736681269486691635060933734630807 337403977222422206250053827279850385273979
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10145-53

c113

name 名前anonymous
date 日付January 22, 2023 13:17:03 UTC 2023 年 1 月 22 日 (日) 22 時 17 分 3 秒 (日本時間)
composite number 合成数
80781855688458081244585515480013402489381839149516068043509494844503328563804648402146173781716777358473409910049<113>
prime factors 素因数
121478493096843735919035136812186355548931531<45>
664988950958241364493296613323039335821562342046253914153885654586179<69>
factorization results 素因数分解の結果
p45 factor: 121478493096843735919035136812186355548931531
p69 factor: 664988950958241364493296613323039335821562342046253914153885654586179
software ソフトウェア
GGNFS snfs

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350cccJanuary 20, 2023 01:48:58 UTC 2023 年 1 月 20 日 (金) 10 時 48 分 58 秒 (日本時間)

26×10147-53

c134

name 名前anonymous
date 日付December 24, 2022 00:08:28 UTC 2022 年 12 月 24 日 (土) 9 時 8 分 28 秒 (日本時間)
composite number 合成数
35100028099341982464822065616566984650282799806809789567197298760441383356412818157261935186736623605752353126439569654950425202937977<134>
prime factors 素因数
3806483779459950210311301308277600847<37>
composite cofactor 合成数の残り
9221115899335802283900308997566842578061778754794306423521243841396321381998697201547561562244791<97>
factorization results 素因数分解の結果
p37:3806483779459950210311301308277600847
c97:9221115899335802283900308997566842578061778754794306423521243841396321381998697201547561562244791
software ソフトウェア
ECM

c97

name 名前Ignacio Santos
date 日付December 24, 2022 17:00:48 UTC 2022 年 12 月 25 日 (日) 2 時 0 分 48 秒 (日本時間)
composite number 合成数
9221115899335802283900308997566842578061778754794306423521243841396321381998697201547561562244791<97>
prime factors 素因数
14842312155343475468272438852302414052856849<44>
621272198214484360755175178616153147316634666146764359<54>
factorization results 素因数分解の結果
12/24/22 17:58:14, starting SIQS on c97: 9221115899335802283900308997566842578061778754794306423521243841396321381998697201547561562244791
12/24/22 17:58:14, random seed: 13767947820378239637
12/24/22 17:58:14, ==== sieve params ====
12/24/22 17:58:14, n = 97 digits, 323 bits
12/24/22 17:58:14, factor base: 104496 primes (max prime = 2879111)
12/24/22 17:58:14, single large prime cutoff: 417471095 (145 * pmax)
12/24/22 17:58:14, double large prime range from 8289280150321 to 8874805838690228
12/24/22 17:58:14, DLP MFB = 1.85
12/24/22 17:58:14, allocating 8 large prime slices of factor base
12/24/22 17:58:14, buckets hold 2048 elements
12/24/22 17:58:14, large prime hashtables have 1441792 bytes
12/24/22 17:58:14, using AVX2 enabled 32k sieve core
12/24/22 17:58:14, sieve interval: 11 blocks of size 32768
12/24/22 17:58:14, polynomial A has ~ 13 factors
12/24/22 17:58:14, using multiplier of 1
12/24/22 17:58:14, using multiplier of 1 (kn mod 8 == 7)
12/24/22 17:58:14, using SPV correction of 20 bits, starting at offset 32
12/24/22 17:58:14, trial factoring cutoff at 96 bits
12/24/22 17:58:14, ==== sieving started (46 threads) ====
12/24/22 18:00:07, trial division touched 240181288 sieve locations out of 1867498389504
12/24/22 18:00:07, total reports = 240181288, total surviving reports = 52914634
12/24/22 18:00:07, total blocks sieved = 56992496, avg surviving reports per block = 0.93
12/24/22 18:00:07, dlp-ecm: 2 failures, 1803973 attempts, 43209354 outside range, 7502719 prp, 1435054 useful
12/24/22 18:00:07, 105105 relations found: 26137 full + 78968 from 1807505 partial, using 2590524 polys (2517 A polys)
12/24/22 18:00:07, on average, sieving found 0.71 rels/poly and 16160.74 rels/sec
12/24/22 18:00:07, trial division touched 240181288 sieve locations out of 1867498389504
12/24/22 18:00:07, ==== post processing stage (msieve-1.38) ====
12/24/22 18:00:07, QS elapsed time = 113.4642 seconds.
12/24/22 18:00:08, begin singleton removal with 1833642 relations
12/24/22 18:00:08, reduce to 278774 relations in 12 passes
12/24/22 18:00:10, recovered 278774 relations
12/24/22 18:00:10, recovered 264283 polynomials
12/24/22 18:00:11, attempting to build 105105 cycles
12/24/22 18:00:11, found 105105 cycles from 278774 relations in 6 passes
12/24/22 18:00:11, distribution of cycle lengths:
12/24/22 18:00:11,    length 1 : 26137
12/24/22 18:00:11,    length 2 : 17943
12/24/22 18:00:11,    length 3 : 17306
12/24/22 18:00:11,    length 4 : 13986
12/24/22 18:00:11,    length 5 : 10626
12/24/22 18:00:11,    length 6 : 7276
12/24/22 18:00:11,    length 7 : 4776
12/24/22 18:00:11,    length 9+: 7055
12/24/22 18:00:11, largest cycle: 20 relations
12/24/22 18:00:11, matrix is 104496 x 105105 (31.2 MB) with weight 7348235 (69.91/col)
12/24/22 18:00:11, sparse part has weight 7348235 (69.91/col)
12/24/22 18:00:11, filtering completed in 4 passes
12/24/22 18:00:11, matrix is 99104 x 99168 (29.5 MB) with weight 6947090 (70.05/col)
12/24/22 18:00:11, sparse part has weight 6947090 (70.05/col)
12/24/22 18:00:11, saving the first 48 matrix rows for later
12/24/22 18:00:12, matrix is 99056 x 99168 (26.1 MB) with weight 6216369 (62.69/col)
12/24/22 18:00:12, sparse part has weight 5848977 (58.98/col)
12/24/22 18:00:12, matrix includes 64 packed rows
12/24/22 18:00:12, using block size 39667 for processor cache size 131072 kB
12/24/22 18:00:12, commencing Lanczos iteration
12/24/22 18:00:12, memory use: 20.1 MB
12/24/22 18:00:30, lanczos halted after 1568 iterations (dim = 99052)
12/24/22 18:00:30, recovered 14 nontrivial dependencies
12/24/22 18:00:30, prp44 = 14842312155343475468272438852302414052856849
12/24/22 18:00:30, prp54 = 621272198214484360755175178616153147316634666146764359
12/24/22 18:00:30, Lanczos elapsed time = 22.4000 seconds.
12/24/22 18:00:30, Sqrt elapsed time = 0.1250 seconds.
12/24/22 18:00:30, SIQS elapsed time = 135.9897 seconds.
12/24/22 18:00:30, 
12/24/22 18:00:30, 
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10148-53

c143

name 名前Bob Backstrom
date 日付December 25, 2022 02:03:14 UTC 2022 年 12 月 25 日 (日) 11 時 3 分 14 秒 (日本時間)
composite number 合成数
66668461586786310913498953176944507480329598617398673554031582901590940268904675638703093288409046910237326902390961807946111369665080726532381<143>
prime factors 素因数
213697668124799281593058987827733003<36>
311975615699521710268014664614467411582575608886483794431560616966450954569681582972418790148228288951147127<108>
factorization results 素因数分解の結果
Number: n
N=66668461586786310913498953176944507480329598617398673554031582901590940268904675638703093288409046910237326902390961807946111369665080726532381  ( 143 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sun Dec 25 13:00:03 2022  p36 factor: 213697668124799281593058987827733003
Sun Dec 25 13:00:03 2022  p108 factor: 311975615699521710268014664614467411582575608886483794431560616966450954569681582972418790148228288951147127
Sun Dec 25 13:00:03 2022  elapsed time 00:03:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.275).
Factorization parameters were as follows:
#
# N = 26x10^148-5 = 86(147)5
#
n: 66668461586786310913498953176944507480329598617398673554031582901590940268904675638703093288409046910237326902390961807946111369665080726532381
m: 10000000000000000000000000000000000000
deg: 4
c4: 26
c0: -5
skew: 0.66
# Murphy_E = 1.646e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 506319 hash collisions in 6031140 relations (6193415 unique)
Msieve: matrix is 316384 x 316609 (107.8 MB)

Sieving start time : 2022/12/25 12:39:55
Sieving end time  : 2022/12/25 12:56:23

Total sieving time: 0hrs 16min 28secs.

Total relation processing time: 0hrs 1min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10151-53

c140

name 名前Bob Backstrom
date 日付December 25, 2022 08:43:17 UTC 2022 年 12 月 25 日 (日) 17 時 43 分 17 秒 (日本時間)
composite number 合成数
63239878744591683033343116564587464075873773492379536741314969078656360220976245817084434940022597589324121858672944683303652089730381684837<140>
prime factors 素因数
4798342679193030709459465389144933323<37>
3578463964665993628716504981559996603200132327139061<52>
3683011882027117097222687144066309664080573167656179<52>
factorization results 素因数分解の結果
Number: n
N=63239878744591683033343116564587464075873773492379536741314969078656360220976245817084434940022597589324121858672944683303652089730381684837  ( 140 digits)
SNFS difficulty: 151 digits.
Divisors found:

Sun Dec 25 19:37:57 2022  found factor: 4798342679193030709459465389144933323
Sun Dec 25 19:38:08 2022  p37 factor: 4798342679193030709459465389144933323
Sun Dec 25 19:38:08 2022  p52 factor: 3578463964665993628716504981559996603200132327139061
Sun Dec 25 19:38:08 2022  p52 factor: 3683011882027117097222687144066309664080573167656179
Sun Dec 25 19:38:08 2022  elapsed time 00:04:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 26x10^151-5 = 86(150)5
#
n: 63239878744591683033343116564587464075873773492379536741314969078656360220976245817084434940022597589324121858672944683303652089730381684837
m: 1000000000000000000000000000000
deg: 5
c5: 52
c0: -1
skew: 0.45
# Murphy_E = 1.46e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1280376 hash collisions in 12840654 relations (12343722 unique)
Msieve: matrix is 265415 x 265643 (88.3 MB)

Sieving start time : 2022/12/25 18:45:21
Sieving end time  : 2022/12/25 19:33:16

Total sieving time: 0hrs 47min 55secs.

Total relation processing time: 0hrs 1min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10153-53

c132

name 名前Bob Backstrom
date 日付December 29, 2022 01:56:39 UTC 2022 年 12 月 29 日 (木) 10 時 56 分 39 秒 (日本時間)
composite number 合成数
182513106785132851384062074419032613037754069241429852209367805384565413205697207975519858594082089504746593629530007321680903762647<132>
prime factors 素因数
12145227319239661302464916359749376687653<41>
15027557903013287131061475259136782986765613441060488583389256033061014915426921785934145099<92>
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 182513106785132851384062074419032613037754069241429852209367805384565413205697207975519858594082089504746593629530007321680903762647 (132 digits)
Using B1=25760000, B2=96191014936, polynomial Dickson(12), sigma=1:476794085
Step 1 took 40511ms
Step 2 took 15595ms
********** Factor found in step 2: 12145227319239661302464916359749376687653
Found prime factor of 41 digits: 12145227319239661302464916359749376687653
Prime cofactor 15027557903013287131061475259136782986765613441060488583389256033061014915426921785934145099 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10154-53

c150

name 名前Bob Backstrom
date 日付December 28, 2022 05:18:12 UTC 2022 年 12 月 28 日 (水) 14 時 18 分 12 秒 (日本時間)
composite number 合成数
238747859304049990128694278774856177371294242962677281763795723658535465535369117964399021133776853395040472353457023089672777693603853023144768437533<150>
prime factors 素因数
14132764905678325068955842885597217550418179<44>
16893216642139487834707529798936499989438351641520388945205004908992408734783169045946936425676837890367327<107>
factorization results 素因数分解の結果
Number: n
N=238747859304049990128694278774856177371294242962677281763795723658535465535369117964399021133776853395040472353457023089672777693603853023144768437533  ( 150 digits)
SNFS difficulty: 154 digits.
Divisors found:

Wed Dec 28 16:14:14 2022  p44 factor: 14132764905678325068955842885597217550418179
Wed Dec 28 16:14:14 2022  p107 factor: 16893216642139487834707529798936499989438351641520388945205004908992408734783169045946936425676837890367327
Wed Dec 28 16:14:14 2022  elapsed time 00:05:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 26x10^154-5 = 86(153)5
#
n: 238747859304049990128694278774856177371294242962677281763795723658535465535369117964399021133776853395040472353457023089672777693603853023144768437533
m: 2000000000000000000000000000000
deg: 5
c5: 1625
c0: -1
skew: 0.23
# Murphy_E = 9.567e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1351040 hash collisions in 14326080 relations (13901941 unique)
Msieve: matrix is 345884 x 346114 (115.6 MB)

Sieving start time : 2022/12/28 15:45:05
Sieving end time  : 2022/12/28 16:08:14

Total sieving time: 0hrs 23min 9secs.

Total relation processing time: 0hrs 2min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ---------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10155-53

c129

name 名前Bob Backstrom
date 日付December 29, 2022 19:45:57 UTC 2022 年 12 月 30 日 (金) 4 時 45 分 57 秒 (日本時間)
composite number 合成数
397461024427334453463401184788600068425334049533454937114715851285474067466119885190911003344632029550067761120815184596354848893<129>
prime factors 素因数
1497984560881548643542883604727737219929<40>
265330521292844762249864370547200637211309745540867609717410615019524718956244619577406917<90>
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 397461024427334453463401184788600068425334049533454937114715851285474067466119885190911003344632029550067761120815184596354848893 (129 digits)
Using B1=31390000, B2=144290666536, polynomial Dickson(12), sigma=1:1256400121
Step 1 took 49141ms
Step 2 took 19663ms
********** Factor found in step 2: 1497984560881548643542883604727737219929
Found prime factor of 40 digits: 1497984560881548643542883604727737219929
Prime cofactor 265330521292844762249864370547200637211309745540867609717410615019524718956244619577406917 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10156-53

c124

name 名前Rytis Slatkevičius
date 日付January 30, 2023 05:17:51 UTC 2023 年 1 月 30 日 (月) 14 時 17 分 51 秒 (日本時間)
composite number 合成数
1017437567832023253810137926616572793771511943092117688510451922393340712826355588153224459741056397085390373067485507292227<124>
prime factors 素因数
15069435628732126139569098071235384784020367413665977200379<59>
67516633860668730898342457725884456254538433830186513222095418713<65>
factorization results 素因数分解の結果
NFS elapsed time = 10844.6837 seconds.
pretesting / nfs ratio was 0.08
Total factoring time = 11712.5041 seconds


***factors found***

P59 = 15069435628732126139569098071235384784020367413665977200379
P65 = 67516633860668730898342457725884456254538433830186513222095418713
software ソフトウェア
yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10158-53

c133

name 名前Bob Backstrom
date 日付December 29, 2022 03:19:17 UTC 2022 年 12 月 29 日 (木) 12 時 19 分 17 秒 (日本時間)
composite number 合成数
3038544456812799975251495055783882475970353815300179911342815137427659071909632487803253903059808502681432261027935182231826403029039<133>
prime factors 素因数
2527359889157051055558598011542182914347<40>
3343605244546370115105351702552839289431<40>
359570048310941469027585180828265067481843244151476027<54>
factorization results 素因数分解の結果
#
# N = 26x10^158-5 = 86(157)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 3038544456812799975251495055783882475970353815300179911342815137427659071909632487803253903059808502681432261027935182231826403029039 (133 digits)
# Using B1=25190000, B2=96190324246, polynomial Dickson(12), sigma=1:1378470360
# Step 1 took 40229ms
# Step 2 took 15696ms
# ********** Factor found in step 2: 2527359889157051055558598011542182914347
# Found prime factor of 40 digits: 2527359889157051055558598011542182914347
# Composite cofactor 1202260299314255567101783354241510355469067533331462008409781366107474133847477807296510970637 has 94 digits
#

Msieve v. 1.54 (SVN 1034)
Thu Dec 29 12:34:33 2022
random seeds: bd3ada8c 89dcb6c6
factoring 1202260299314255567101783354241510355469067533331462008409781366107474133847477807296510970637 (94 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (94-digit input)
using multiplier of 23
using generic 32kb sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 1991597 (74118 primes)
using large prime bound of 256916013 (27 bits)
using double large prime bound of 1372853067158631 (42-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors
74514 relations (19266 full + 55248 combined from 1024696 partial), need 74214
begin with 1043962 relations
reduce to 189542 relations in 11 passes
attempting to read 189542 relations
recovered 189542 relations
recovered 170742 polynomials
attempting to build 74514 cycles
found 74514 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 19266
   length 2 : 13291
   length 3 : 12490
   length 4 : 10052
   length 5 : 7467
   length 6 : 4863
   length 7 : 3058
   length 9+: 4027
largest cycle: 21 relations
matrix is 74118 x 74514 (20.9 MB) with weight 4873402 (65.40/col)
sparse part has weight 4873402 (65.40/col)
filtering completed in 3 passes
matrix is 69920 x 69984 (19.7 MB) with weight 4591522 (65.61/col)
sparse part has weight 4591522 (65.61/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 69872 x 69984 (13.2 MB) with weight 3666494 (52.39/col)
sparse part has weight 2768411 (39.56/col)
using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
commencing Lanczos iteration
memory use: 11.5 MB
linear algebra at 68.9%, ETA 0h 0m
lanczos halted after 1106 iterations (dim = 69872)
recovered 19 nontrivial dependencies
p40 factor: 3343605244546370115105351702552839289431
p54 factor: 359570048310941469027585180828265067481843244151476027
elapsed time 01:35:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10168-53

c148

name 名前Bob Backstrom
date 日付January 1, 2023 01:49:39 UTC 2023 年 1 月 1 日 (日) 10 時 49 分 39 秒 (日本時間)
composite number 合成数
1679592662091722709003205302259385221951871826309979450310730880245241933574526640680783904567981554329125118015104271876796492095704916696006595719<148>
prime factors 素因数
1421258579802895432504831484347115138571125790218704553712992057408149<70>
1181764308029474729235113585214893218626171644444371370580355418928474099541931<79>
factorization results 素因数分解の結果
Number: n
N=1679592662091722709003205302259385221951871826309979450310730880245241933574526640680783904567981554329125118015104271876796492095704916696006595719  ( 148 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Jan  1 12:44:42 2023  p70 factor: 1421258579802895432504831484347115138571125790218704553712992057408149
Sun Jan  1 12:44:42 2023  p79 factor: 1181764308029474729235113585214893218626171644444371370580355418928474099541931
Sun Jan  1 12:44:42 2023  elapsed time 00:10:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.285).
Factorization parameters were as follows:
#
# N = 26x10^168-5 = 86(167)5
#
n: 1679592662091722709003205302259385221951871826309979450310730880245241933574526640680783904567981554329125118015104271876796492095704916696006595719
m: 1000000000000000000000000000000000
deg: 5
c5: 5200
c0: -1
skew: 0.18
# Murphy_E = 2.602e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1671833 hash collisions in 14541010 relations (13734886 unique)
Msieve: matrix is 598825 x 599052 (206.7 MB)

Sieving start time : 2023/01/01 11:48:03
Sieving end time  : 2023/01/01 12:34:19

Total sieving time: 0hrs 46min 16secs.

Total relation processing time: 0hrs 5min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10172-53

c122

name 名前Eric Jeancolas
date 日付January 4, 2023 09:46:43 UTC 2023 年 1 月 4 日 (水) 18 時 46 分 43 秒 (日本時間)
composite number 合成数
35413978616963921370641322994157095328603003042852845307751493042752771085974760574606899501078825232559871080445289232349<122>
prime factors 素因数
3252789131969449615261268843687156166988879<43>
10887265414442036299144032099998261674618250799941833694893363216187575103334931<80>
factorization results 素因数分解の結果
35413978616963921370641322994157095328603003042852845307751493042752771085974760574606899501078825232559871080445289232349=3252789131969449615261268843687156166988879*10887265414442036299144032099998261674618250799941833694893363216187575103334931

cado polynomial
n: 35413978616963921370641322994157095328603003042852845307751493042752771085974760574606899501078825232559871080445289232349
skew: 37542.825
c0: 126343942443403730510863275
c1: -230589712188147548252335
c2: -777015227002300771
c3: 35538642073043
c4: -823229928
c5: 35100
Y0: -316208958448701586780626
Y1: 622979832183044579
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.235e-06
# f(x) = 35100*x^5-823229928*x^4+35538642073043*x^3-777015227002300771*x^2-230589712188147548252335*x+126343942443403730510863275
# g(x) = 622979832183044579*x-316208958448701586780626

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: 10887265414442036299144032099998261674618250799941833694893363216187575103334931 3252789131969449615261268843687156166988879
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): 19981/35.670/43.485/48.370/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16072/34.550/38.537/44.070/0.891
Info:Polynomial Selection (size optimized): Total time: 3021.35
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1713.69
Info:Polynomial Selection (root optimized): Rootsieve time: 1666.45
Info:Generate Factor Base: Total cpu/real time for makefb: 5.26/0.84546
Info:Generate Free Relations: Total cpu/real time for freerel: 129.65/16.3179
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13855527
Info:Lattice Sieving: Average J: 1892.1 for 330635 special-q, max bucket fill -bkmult 1.0,1s:1.254550
Info:Lattice Sieving: Total time: 64078.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.21/36.3236
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.05/176.7
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 158.79999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.33/126.269
Info:Filtering - Merging: Merged matrix has 794741 rows and total weight 81270337 (102.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 58.45/10.577
Info:Filtering - Merging: Total cpu/real time for replay: 17.9/14.0393
Info:Linear Algebra: Total cpu/real time for bwc: 4255.43/1140.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 707.15, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 79.67, WCT time 21.65
Info:Linear Algebra: Mksol: WCT time 394.46, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 33.85/7.80177
Info:Square Root: Total cpu/real time for sqrt: 1129.79/149.318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 156109/18254.4
Info:root: Cleaning up computation data in /tmp/cado.ohvtvcet
10887265414442036299144032099998261674618250799941833694893363216187575103334931 3252789131969449615261268843687156166988879
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10177-53

c155

name 名前Bob Backstrom
date 日付January 5, 2023 06:34:52 UTC 2023 年 1 月 5 日 (木) 15 時 34 分 52 秒 (日本時間)
composite number 合成数
29171006051502868868807791265455228418493550662988548187593082825509917673899605965477900639285235083813893460910372925217216823718689739098523477133021809<155>
prime factors 素因数
179579324241850501668150912996385823717<39>
16709407347145124996701343412225896697761<41>
9721516729273045031076705474238176606663477996525165347825185465193461074557<76>
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 29171006051502868868807791265455228418493550662988548187593082825509917673899605965477900639285235083813893460910372925217216823718689739098523477133021809 (155 digits)
Using B1=25520000, B2=96190324246, polynomial Dickson(12), sigma=1:2906322360
Step 1 took 61329ms
Step 2 took 19350ms
********** Factor found in step 2: 179579324241850501668150912996385823717
Found prime factor of 39 digits: 179579324241850501668150912996385823717
Composite cofactor 162440783061509263694602751229752830385004322840450327421829308265256783781422711186450045916585570230236720915966877 has 117 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 162440783061509263694602751229752830385004322840450327421829308265256783781422711186450045916585570230236720915966877 (117 digits)
Using B1=43570000, B2=240491351116, polynomial Dickson(12), sigma=1:2024249624
Step 1 took 68732ms
Step 2 took 26479ms
********** Factor found in step 2: 16709407347145124996701343412225896697761
Found prime factor of 41 digits: 16709407347145124996701343412225896697761
Prime cofactor 9721516729273045031076705474238176606663477996525165347825185465193461074557 has 76 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10178-53

c152

name 名前Bob Backstrom
date 日付January 5, 2023 10:28:54 UTC 2023 年 1 月 5 日 (木) 19 時 28 分 54 秒 (日本時間)
composite number 合成数
29701897576410552509712063485101664199057653835208766216265838920441684675099854769295405990803677288907126880364758413449114953093866993766960369472689<152>
prime factors 素因数
178713396739695088305684525967503573829<39>
166198495010829194171906920649899448145289889444783404111046054114980555905558092617283028044924330189649584393341<114>
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 29701897576410552509712063485101664199057653835208766216265838920441684675099854769295405990803677288907126880364758413449114953093866993766960369472689 (152 digits)
Using B1=30720000, B2=144289975846, polynomial Dickson(12), sigma=1:3186022549
Step 1 took 60665ms
Step 2 took 22777ms
********** Factor found in step 2: 178713396739695088305684525967503573829
Found prime factor of 39 digits: 178713396739695088305684525967503573829
Prime cofactor 166198495010829194171906920649899448145289889444783404111046054114980555905558092617283028044924330189649584393341 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10179-53

c119

name 名前Eric Jeancolas
date 日付December 28, 2022 14:34:37 UTC 2022 年 12 月 28 日 (水) 23 時 34 分 37 秒 (日本時間)
composite number 合成数
35502407457305618321093817443210128620784195520345111807255597356618915809409589278813138337856124897239885229439038811<119>
prime factors 素因数
39348735410094261166223383078227512754963854278604080815989<59>
902250277862756127584459584497985307049106611743921859213199<60>
factorization results 素因数分解の結果
35502407457305618321093817443210128620784195520345111807255597356618915809409589278813138337856124897239885229439038811=39348735410094261166223383078227512754963854278604080815989*902250277862756127584459584497985307049106611743921859213199

cado polynomial
n: 35502407457305618321093817443210128620784195520345111807255597356618915809409589278813138337856124897239885229439038811
skew: 67489.043
c0: 8478998694903377888111408808
c1: -93093732451027911600553
c2: 205079495149215452
c3: -25061020126758
c4: 579172824
c5: 7920
Y0: -85133658853659309460847
Y1: 2757769116150077
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.868e-06
# f(x) = 7920*x^5+579172824*x^4-25061020126758*x^3+205079495149215452*x^2-93093732451027911600553*x+8478998694903377888111408808
# g(x) = 2757769116150077*x-85133658853659309460847

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: 902250277862756127584459584497985307049106611743921859213199 39348735410094261166223383078227512754963854278604080815989
Info:Square Root: Total cpu/real time for sqrt: 264.9/44.5853
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): 20413/34.790/42.321/47.290/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16171/33.720/37.453/42.850/0.833
Info:Polynomial Selection (size optimized): Total time: 3174.56
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1259.92
Info:Polynomial Selection (root optimized): Rootsieve time: 1209.35
Info:Generate Factor Base: Total cpu/real time for makefb: 5.6/0.876926
Info:Generate Free Relations: Total cpu/real time for freerel: 134.75/16.9699
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13447456
Info:Lattice Sieving: Average J: 1911.09 for 175458 special-q, max bucket fill -bkmult 1.0,1s:1.238400
Info:Lattice Sieving: Total time: 38188.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.32/40.522
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 151.92/111.731
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 106.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.54/64.8119
Info:Filtering - Merging: Merged matrix has 501517 rows and total weight 51466693 (102.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 36.22/6.50378
Info:Filtering - Merging: Total cpu/real time for replay: 10.7/8.44956
Info:Linear Algebra: Total cpu/real time for bwc: 1638.17/436.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 259.88, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15744 iterations)
Info:Linear Algebra: Lingen CPU time 46.51, WCT time 12.63
Info:Linear Algebra: Mksol: WCT time 157.16, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7936 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 18.2/4.38056
Info:Square Root: Total cpu/real time for sqrt: 264.9/44.5853
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 94112.2/11057.1
Info:root: Cleaning up computation data in /tmp/cado.sst9_oa_
902250277862756127584459584497985307049106611743921859213199 39348735410094261166223383078227512754963854278604080815989
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 24, 2022 11:06:03 UTC 2022 年 12 月 24 日 (土) 20 時 6 分 3 秒 (日本時間)

26×10180-53

c147

name 名前Bob Backstrom
date 日付January 6, 2023 05:33:32 UTC 2023 年 1 月 6 日 (金) 14 時 33 分 32 秒 (日本時間)
composite number 合成数
558264826847717753950053762274610511959546720125212854310544110309333242308842258856365144132631180718710866553630675307398835487611134255064765273<147>
prime factors 素因数
67765844773924905475821142086387764910079247085781<50>
8238144580210828458275235307391001693437206896669550776601676575855009412985471392571267075324533<97>
factorization results 素因数分解の結果
Number: n
N=558264826847717753950053762274610511959546720125212854310544110309333242308842258856365144132631180718710866553630675307398835487611134255064765273  ( 147 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jan  6 16:27:50 2023  prp50 factor: 67765844773924905475821142086387764910079247085781
Fri Jan  6 16:27:50 2023  prp97 factor: 8238144580210828458275235307391001693437206896669550776601676575855009412985471392571267075324533
Fri Jan  6 16:27:50 2023  elapsed time 00:55:18 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 26x10^180-5 = 86(179)5
#
n: 558264826847717753950053762274610511959546720125212854310544110309333242308842258856365144132631180718710866553630675307398835487611134255064765273
m: 1000000000000000000000000000000000000
deg: 5
c5: 26
c0: -5
skew: 0.72
# Murphy_E = 1.025e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 764956 hash collisions in 10733616 relations (10684863 unique)
Msieve: matrix is 1277096 x 1277320 (365.8 MB)

Sieving start time: 2023/01/06 10:05:28
Sieving end time  : 2023/01/06 15:32:20

Total sieving time: 5hrs 26min 52secs.

Total relation processing time: 0hrs 45min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 16sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10181-53

c147

name 名前Bob Backstrom
date 日付January 4, 2023 16:45:06 UTC 2023 年 1 月 5 日 (木) 1 時 45 分 6 秒 (日本時間)
composite number 合成数
371771289473550152582932997396783279057714960764891723442032382867556656488973242755926115983646187923708853614343180820736902749578235627263309461<147>
prime factors 素因数
737509794094450261069628992159906649<36>
504089969313599004732244008720592568753343076783270044719550906303037525427743863934003691005073173633004927389<111>
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 371771289473550152582932997396783279057714960764891723442032382867556656488973242755926115983646187923708853614343180820736902749578235627263309461 (147 digits)
Using B1=25710000, B2=96191014936, polynomial Dickson(12), sigma=1:2557854794
Step 1 took 52190ms
Step 2 took 17888ms
********** Factor found in step 2: 737509794094450261069628992159906649
Found prime factor of 36 digits: 737509794094450261069628992159906649
Prime cofactor 504089969313599004732244008720592568753343076783270044719550906303037525427743863934003691005073173633004927389 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10182-53

c165

name 名前Bob Backstrom
date 日付January 7, 2023 15:23:02 UTC 2023 年 1 月 8 日 (日) 0 時 23 分 2 秒 (日本時間)
composite number 合成数
400938992449752996387090898547494690105608106161146990683392977768941151236149427675197337501038862449629079152901011609440183281393468819856693828527170935203490247<165>
prime factors 素因数
5180812828805046513122477830108871789<37>
715165241355121602949539245051617233392826671<45>
108211643624919070305556036216295486903883545191253088536931829591585648201182911213<84>
factorization results 素因数分解の結果
Number: n
N=77389206230449652862454476040291681969577521168048522225366844623115185080351108641140584245347515261152423182947554902891361923  ( 128 digits)
Divisors found:

Sun Jan  8 02:08:07 2023  prp45 factor: 715165241355121602949539245051617233392826671
Sun Jan  8 02:08:07 2023  prp84 factor: 108211643624919070305556036216295486903883545191253088536931829591585648201182911213
Sun Jan  8 02:08:07 2023  elapsed time 00:34:09 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 26x10^182-5 = 86(181)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 400938992449752996387090898547494690105608106161146990683392977768941151236149427675197337501038862449629079152901011609440183281393468819856693828527170935203490247 (165 digits)
# Using B1=27460000, B2=144286522396, polynomial Dickson(12), sigma=1:2191287074
# Step 1 took 65050ms
# Step 2 took 25439ms
# ********** Factor found in step 2: 5180812828805046513122477830108871789
# Found prime factor of 37 digits: 5180812828805046513122477830108871789
# Composite cofactor 77389206230449652862454476040291681969577521168048522225366844623115185080351108641140584245347515261152423182947554902891361923 has 128 digits
#


n: 77389206230449652862454476040291681969577521168048522225366844623115185080351108641140584245347515261152423182947554902891361923

Y0: -14517738328823715814855966
Y1: 510283925396677
c0: -68305689699503209932437013930945
c1: -368428859330775410562192914
c2: 398217441649544827045
c3: 7184609010502
c4: 33995992
c5: 120

# skew 1257358.04, size 2.226e-12, alpha -5.429, combined = 9.721e-11 rroots = 3

skew: 1257358.04
 
type: gnfs
rlim: 4400000
alim: 4400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6278707)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1350637 hash collisions in 7487521 relations (6189430 unique)
Msieve: matrix is 1043584 x 1043809 (301.2 MB)

Sieving start time: 2023/01/08 00:22:14
Sieving end time  : 2023/01/08 01:33:33

Total sieving time: 1hrs 11min 19secs.

Total relation processing time: 0hrs 30min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10183-53

c143

name 名前Rytis Slatkevičius
date 日付April 19, 2023 04:05:16 UTC 2023 年 4 月 19 日 (水) 13 時 5 分 16 秒 (日本時間)
composite number 合成数
72837610565365652554063051605066010257961726554928895442472496732914078672662995598373311170841910254417849564360400890157322539636875284949899<143>
prime factors 素因数
1038320288475951072747203646624817982697204533773<49>
70149462910213250527670399109578951812267024588072458999868659767965932430224731674303917481463<95>
factorization results 素因数分解の結果
NFS elapsed time = 61954.1527 seconds.
pretesting / nfs ratio was 0.00
Total factoring time = 61955.0644 seconds


***factors found***

P49 = 1038320288475951072747203646624817982697204533773
P95 = 70149462910213250527670399109578951812267024588072458999868659767965932430224731674303917481463
software ソフトウェア
yafu2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 16, 2023 10:54:16 UTC 2023 年 2 月 16 日 (木) 19 時 54 分 16 秒 (日本時間)
4511e63065 / 3915Rytis SlatkevičiusApril 17, 2023 15:57:11 UTC 2023 年 4 月 18 日 (火) 0 時 57 分 11 秒 (日本時間)

26×10187-53

c156

name 名前Bob Backstrom
date 日付January 19, 2023 20:44:44 UTC 2023 年 1 月 20 日 (金) 5 時 44 分 44 秒 (日本時間)
composite number 合成数
165924221677023624579904940858598067259391525491825353691039498461664080324960213380372956038919477913746504671806205281881732797486964592014295917671699199<156>
prime factors 素因数
24424510993515404557607776760040938090314205777<47>
6793348768418567030560931329895038249730783084463517124152234472517457866501771142085525175021646921222775887<109>
factorization results 素因数分解の結果
Number: n
N=165924221677023624579904940858598067259391525491825353691039498461664080324960213380372956038919477913746504671806205281881732797486964592014295917671699199  ( 156 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Jan 20 06:53:35 2023  prp47 factor: 24424510993515404557607776760040938090314205777
Fri Jan 20 06:53:35 2023  prp109 factor: 6793348768418567030560931329895038249730783084463517124152234472517457866501771142085525175021646921222775887
Fri Jan 20 06:53:35 2023  elapsed time 01:23:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 26x10^187-5 = 86(186)5
#
n: 165924221677023624579904940858598067259391525491825353691039498461664080324960213380372956038919477913746504671806205281881732797486964592014295917671699199
m: 10000000000000000000000000000000000000
deg: 5
c5: 520
c0: -1
skew: 0.29
# Murphy_E = 5.098e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30115537)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1086063 hash collisions in 12303532 relations (12006341 unique)
Msieve: matrix is 1656302 x 1656530 (473.2 MB)

Sieving start time: 2023/01/19 18:29:45
Sieving end time  : 2023/01/20 05:29:50

Total sieving time: 11hrs 0min 5secs.

Total relation processing time: 1hrs 18min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 20sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10189-53

c188

name 名前Bob Backstrom
date 日付December 26, 2022 15:21:16 UTC 2022 年 12 月 27 日 (火) 0 時 21 分 16 秒 (日本時間)
composite number 合成数
12470023980815347721822541966426858513189448441247002398081534772182254196642685851318944844124700239808153477218225419664268585131894484412470023980815347721822541966426858513189448441247<188>
prime factors 素因数
87021514287563737342017834806607696727931<41>
156254862602296893671445322994689158000087629473271<51>
917079764997011270548408521469361532643840529615036896793224305489618506528535811043352120593147<96>
factorization results 素因数分解の結果
Number: n
N=12470023980815347721822541966426858513189448441247002398081534772182254196642685851318944844124700239808153477218225419664268585131894484412470023980815347721822541966426858513189448441247  ( 188 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Dec 27 02:14:04 2022  found factor: 87021514287563737342017834806607696727931
Tue Dec 27 02:15:37 2022  p41 factor: 87021514287563737342017834806607696727931
Tue Dec 27 02:15:37 2022  p51 factor: 156254862602296893671445322994689158000087629473271
Tue Dec 27 02:15:37 2022  p96 factor: 917079764997011270548408521469361532643840529615036896793224305489618506528535811043352120593147
Tue Dec 27 02:15:37 2022  elapsed time 00:33:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 26x10^189-5 = 86(188)5
#
n: 12470023980815347721822541966426858513189448441247002398081534772182254196642685851318944844124700239808153477218225419664268585131894484412470023980815347721822541966426858513189448441247
m: 20000000000000000000000000000000000000
deg: 5
c5: 1625
c0: -1
skew: 0.23
# Murphy_E = 3.89e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1727201 hash collisions in 13743269 relations (12780087 unique)
Msieve: matrix is 1251980 x 1252205 (433.6 MB)

Sieving start time : 2022/12/26 19:50:37
Sieving end time  : 2022/12/27 01:41:13

Total sieving time: 5hrs 50min 36secs.

Total relation processing time: 0hrs 26min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10190-53

c138

name 名前Ignacio Santos
date 日付January 14, 2023 09:02:58 UTC 2023 年 1 月 14 日 (土) 18 時 2 分 58 秒 (日本時間)
composite number 合成数
175675521229977698742690211110173871903722401116210236851842722839179908107200252393110398770385842162877062723286974311722025271207869713<138>
prime factors 素因数
796320931719780279225545448364518141624971<42>
composite cofactor 合成数の残り
220608945755800722720079748172031279088449966675160032424577701612162906529947825516543905758803<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2823218294
Step 1 took 2750ms
Step 2 took 2000ms
********** Factor found in step 2: 796320931719780279225545448364518141624971
Found prime factor of 42 digits: 796320931719780279225545448364518141624971
Composite cofactor 220608945755800722720079748172031279088449966675160032424577701612162906529947825516543905758803 has 96 digits
 
software ソフトウェア
GMP-ECM

c96

name 名前Dmitry Domanov
date 日付January 14, 2023 16:05:48 UTC 2023 年 1 月 15 日 (日) 1 時 5 分 48 秒 (日本時間)
composite number 合成数
220608945755800722720079748172031279088449966675160032424577701612162906529947825516543905758803<96>
prime factors 素因数
159688312151554218747860539516133932085085442079<48>
1381497135159328402811348108172874144289043495757<49>
factorization results 素因数分解の結果
N=220608945755800722720079748172031279088449966675160032424577701612162906529947825516543905758803
  ( 96 digits)
Divisors found:
 r1=159688312151554218747860539516133932085085442079 (pp48)
 r2=1381497135159328402811348108172874144289043495757 (pp49)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 220608945755800722720079748172031279088449966675160032424577701612162906529947825516543905758803
skew: 390098.65
c0: 128759112845098003511576883
c1: -214143039060017967534
c2: -4845680916774329
c3: 3265800692
c4: 16800
Y0: -60197467114697867854520
Y1: 688032280267
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 40000
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117691 x 117916
Total sieving time: 0.00 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:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 0.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2023 20:51:56 UTC 2023 年 1 月 6 日 (金) 5 時 51 分 56 秒 (日本時間)

26×10192-53

c146

name 名前Bob Backstrom
date 日付January 22, 2023 09:55:00 UTC 2023 年 1 月 22 日 (日) 18 時 55 分 0 秒 (日本時間)
composite number 合成数
47971425475884837357775789898417787970749857217304566650727187842406067411803382448685901546155678715111336386231793436066219016291267982830512763<146>
prime factors 素因数
452258419585984315983582736144172244252467<42>
1503370311737138503505649869083599017257499<43>
70555356950794894062130627830825285855354052693308802547742811<62>
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 47971425475884837357775789898417787970749857217304566650727187842406067411803382448685901546155678715111336386231793436066219016291267982830512763 (146 digits)
Using B1=29470000, B2=144288594466, polynomial Dickson(12), sigma=1:195696958
Step 1 took 59673ms
Step 2 took 22665ms
********** Factor found in step 2: 452258419585984315983582736144172244252467
Found prime factor of 42 digits: 452258419585984315983582736144172244252467
Composite cofactor 106070828973841601820413275158971661504415945877843354835568211372901919188959583212754476915658013089689 has 105 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 106070828973841601820413275158971661504415945877843354835568211372901919188959583212754476915658013089689 (105 digits)
Using B1=47110000, B2=240494804566, polynomial Dickson(12), sigma=1:3494182995
Step 1 took 60322ms
Step 2 took 23267ms
********** Factor found in step 2: 1503370311737138503505649869083599017257499
Found prime factor of 43 digits: 1503370311737138503505649869083599017257499
Prime cofactor 70555356950794894062130627830825285855354052693308802547742811 has 62 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2023 18:04:33 UTC 2023 年 1 月 6 日 (金) 3 時 4 分 33 秒 (日本時間)

26×10193-53

c158

name 名前Bob Backstrom
date 日付January 28, 2023 03:59:28 UTC 2023 年 1 月 28 日 (土) 12 時 59 分 28 秒 (日本時間)
composite number 合成数
83644378571952841195955958251497358603697183822526135113965490447906042726766091097447979322504333296192371828814254471097293958015707368888933630612557555397<158>
prime factors 素因数
5032711135261167900400839326808959283721983085602214794220441<61>
16620142965469881543936936062131248019630497664549993959002198100853189816291078435066702482171917<98>
factorization results 素因数分解の結果
Number: n
N=83644378571952841195955958251497358603697183822526135113965490447906042726766091097447979322504333296192371828814254471097293958015707368888933630612557555397  ( 158 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Jan 28 14:53:57 2023  prp61 factor: 5032711135261167900400839326808959283721983085602214794220441
Sat Jan 28 14:53:57 2023  prp98 factor: 16620142965469881543936936062131248019630497664549993959002198100853189816291078435066702482171917
Sat Jan 28 14:53:57 2023  elapsed time 02:00:36 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 26x10^193-5 = 86(192)5
#
n: 83644378571952841195955958251497358603697183822526135113965490447906042726766091097447979322504333296192371828814254471097293958015707368888933630612557555397
m: 100000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -1
skew: 0.18
# Murphy_E = 2.538e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 52900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1494613 hash collisions in 14233597 relations (13621083 unique)
Msieve: matrix is 1932219 x 1932444 (545.5 MB)

Sieving start time: 2023/01/27 15:34:29
Sieving end time  : 2023/01/28 12:53:10

Total sieving time: 21hrs 18min 41secs.

Total relation processing time: 1hrs 53min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 47sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11400000,11400000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 5, 2023 18:03:54 UTC 2023 年 1 月 6 日 (金) 3 時 3 分 54 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:51:45 UTC 2023 年 1 月 24 日 (火) 14 時 51 分 45 秒 (日本時間)

26×10194-53

c193

name 名前Bob Backstrom
date 日付January 29, 2023 06:15:25 UTC 2023 年 1 月 29 日 (日) 15 時 15 分 25 秒 (日本時間)
composite number 合成数
4031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031<193>
prime factors 素因数
16001286378356112890644769128910620180104292199064579012006841<62>
251917730651359594387799724711361170342707044403808999859901048425651002775235610707241725483357608514760500436510280956533415641591<132>
factorization results 素因数分解の結果
Number: n
N=4031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031  ( 193 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Jan 29 17:11:50 2023  prp62 factor: 16001286378356112890644769128910620180104292199064579012006841
Sun Jan 29 17:11:50 2023  prp132 factor: 251917730651359594387799724711361170342707044403808999859901048425651002775235610707241725483357608514760500436510280956533415641591
Sun Jan 29 17:11:50 2023  elapsed time 01:58:57 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 26x10^194-5 = 86(193)5
#
n: 4031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031007751937984496124031
m: 200000000000000000000000000000000000000
deg: 5
c5: 1625
c0: -1
skew: 0.23
# Murphy_E = 2.418e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 60350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1606619 hash collisions in 14794180 relations (14098443 unique)
Msieve: matrix is 1958655 x 1958880 (553.1 MB)

Sieving start time: 2023/01/28 15:16:10
Sieving end time  : 2023/01/29 15:12:39

Total sieving time: 23hrs 56min 29secs.

Total relation processing time: 1hrs 52min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,11900000,11900000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 5, 2023 18:03:31 UTC 2023 年 1 月 6 日 (金) 3 時 3 分 31 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:51:55 UTC 2023 年 1 月 24 日 (火) 14 時 51 分 55 秒 (日本時間)

26×10195-53

c122

name 名前Eric Jeancolas
date 日付December 25, 2022 18:07:28 UTC 2022 年 12 月 26 日 (月) 3 時 7 分 28 秒 (日本時間)
composite number 合成数
28276316272607017207672908557444894269219874216720419665031589489623861756388792537479847458627575364297136149707044476379<122>
prime factors 素因数
219927906941463360376740231729710362958465020699<48>
128570842444897737684234853781910128429613953726798376910067515622924768321<75>
factorization results 素因数分解の結果
28276316272607017207672908557444894269219874216720419665031589489623861756388792537479847458627575364297136149707044476379=219927906941463360376740231729710362958465020699*128570842444897737684234853781910128429613953726798376910067515622924768321

cado polynomial
n: 28276316272607017207672908557444894269219874216720419665031589489623861756388792537479847458627575364297136149707044476379
skew: 68225.025
c0: 24007063575442612472102390220
c1: -678496574611116384168641
c2: -30477017567379769670
c3: 155264626479235
c4: 2067580044
c5: 15600
Y0: -372843650797084604394047
Y1: 17640981277609747
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.276e-06
# f(x) = 15600*x^5+2067580044*x^4+155264626479235*x^3-30477017567379769670*x^2-678496574611116384168641*x+24007063575442612472102390220
# g(x) = 17640981277609747*x-372843650797084604394047

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: 128570842444897737684234853781910128429613953726798376910067515622924768321 219927906941463360376740231729710362958465020699
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): 19995/35.460/43.467/47.920/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16076/34.090/38.502/43.940/0.887
Info:Polynomial Selection (size optimized): Total time: 3023.33
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2106.75
Info:Polynomial Selection (root optimized): Rootsieve time: 2059.24
Info:Generate Factor Base: Total cpu/real time for makefb: 5.36/0.834829
Info:Generate Free Relations: Total cpu/real time for freerel: 129.99/16.352
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13858675
Info:Lattice Sieving: Average J: 1902.38 for 312952 special-q, max bucket fill -bkmult 1.0,1s:1.192440
Info:Lattice Sieving: Total time: 61500.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.83/66.7327
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 66.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.48/145.935
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 129.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.52/142.722
Info:Filtering - Merging: Merged matrix has 772370 rows and total weight 78183930 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.67/10.3798
Info:Filtering - Merging: Total cpu/real time for replay: 16.73/13.2959
Info:Linear Algebra: Total cpu/real time for bwc: 3997.72/1058.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 643.49, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 75.29, WCT time 20.39
Info:Linear Algebra: Mksol: WCT time 378.04, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 29.96/7.26932
Info:Square Root: Total cpu/real time for sqrt: 1117.77/148.119
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 150764/17557.4
Info:root: Cleaning up computation data in /tmp/cado.bfhqbuqm
128570842444897737684234853781910128429613953726798376910067515622924768321 219927906941463360376740231729710362958465020699
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 24, 2022 09:21:37 UTC 2022 年 12 月 24 日 (土) 18 時 21 分 37 秒 (日本時間)

26×10196-53

c197

name 名前Dmitry Domanov
date 日付January 24, 2023 08:40:12 UTC 2023 年 1 月 24 日 (火) 17 時 40 分 12 秒 (日本時間)
composite number 合成数
17333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<197>
prime factors 素因数
2650944373015508805280092895352237691348529<43>
composite cofactor 合成数の残り
6538550378413364099926529372412939623563328439209990741148193096143416237247706860944895818762517371644449299525533282749193824367142375931942766443365477<154>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2748260858
Step 1 took 23025ms
Step 2 took 8757ms
********** Factor found in step 2: 2650944373015508805280092895352237691348529
Found prime factor of 43 digits: 2650944373015508805280092895352237691348529
Composite cofactor 6538550378413364099926529372412939623563328439209990741148193096143416237247706860944895818762517371644449299525533282749193824367142375931942766443365477 has 154 digits

c154

name 名前Eric Jeancolas
date 日付July 12, 2023 15:46:30 UTC 2023 年 7 月 13 日 (木) 0 時 46 分 30 秒 (日本時間)
composite number 合成数
6538550378413364099926529372412939623563328439209990741148193096143416237247706860944895818762517371644449299525533282749193824367142375931942766443365477<154>
prime factors 素因数
89838342698687964287887398979638808145567507125112840024819<59>
72781288946338229258070576898887204241280802866551395213658411865387166661295258693325573984583<95>
factorization results 素因数分解の結果
6538550378413364099926529372412939623563328439209990741148193096143416237247706860944895818762517371644449299525533282749193824367142375931942766443365477=89838342698687964287887398979638808145567507125112840024819*72781288946338229258070576898887204241280802866551395213658411865387166661295258693325573984583

cado polynomial
n: 6538550378413364099926529372412939623563328439209990741148193096143416237247706860944895818762517371644449299525533282749193824367142375931942766443365477
skew: 0.45
type: snfs
c0: -1
c5: 52
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 52*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13300000
tasks.lim1 = 13300000
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: 89838342698687964287887398979638808145567507125112840024819 72781288946338229258070576898887204241280802866551395213658411865387166661295258693325573984583
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1750.14/539.179
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 5.61/2.47675
Info:Generate Free Relations: Total cpu/real time for freerel: 126.19/35.82
Info:Square Root: Total cpu/real time for sqrt: 1750.14/539.179
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.82/101.548
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.9s
Info:Quadratic Characters: Total cpu/real time for characters: 76.35/33.3018
Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.44/325.404
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 463.11/483.77
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 358.90000000000003s
Info:Filtering - Merging: Merged matrix has 2067740 rows and total weight 353568598 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 594.6/165.656
Info:Filtering - Merging: Total cpu/real time for replay: 81.8/93.8853
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24900585
Info:Lattice Sieving: Average J: 3793.05 for 1003346 special-q, max bucket fill -bkmult 1.0,1s:1.074920
Info:Lattice Sieving: Total time: 386177s
Info:Linear Algebra: Total cpu/real time for bwc: 82961.3/22051.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 52715.5, WCT time 13583.11, iteration CPU time 0.19, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (64768 iterations)
Info:Linear Algebra: Lingen CPU time 308.33, WCT time 315.1
Info:Linear Algebra: Mksol: CPU time 29421.22,  WCT time 7885.1, iteration CPU time 0.22, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (32512 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 810307/216706
Info:root: Cleaning up computation data in /tmp/cado.iauqcclh
89838342698687964287887398979638808145567507125112840024819 72781288946338229258070576898887204241280802866551395213658411865387166661295258693325573984583
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 5, 2023 18:03:40 UTC 2023 年 1 月 6 日 (金) 3 時 3 分 40 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:52:03 UTC 2023 年 1 月 24 日 (火) 14 時 52 分 3 秒 (日本時間)

26×10198-53

c158

name 名前Dmitry Domanov
date 日付January 5, 2023 20:08:09 UTC 2023 年 1 月 6 日 (金) 5 時 8 分 9 秒 (日本時間)
composite number 合成数
52837900654568366900432274382005878659288084446638816865079142214435431856699936746659998139213545747388645006749299880345472403149346504195316007564830732529<158>
prime factors 素因数
35084979776731605252811036782108972289<38>
1505997751482545162255077538305123422306968381610234951988729029343285801730654833779837530066553550432575645505188146161<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2087867814
Step 1 took 5637ms
Step 2 took 2715ms
********** Factor found in step 2: 35084979776731605252811036782108972289
Found prime factor of 38 digits: 35084979776731605252811036782108972289
Prime cofactor 1505997751482545162255077538305123422306968381610234951988729029343285801730654833779837530066553550432575645505188146161 has 121 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2023 18:04:01 UTC 2023 年 1 月 6 日 (金) 3 時 4 分 1 秒 (日本時間)

26×10199-53

c120

name 名前Eric Jeancolas
date 日付December 25, 2022 07:25:12 UTC 2022 年 12 月 25 日 (日) 16 時 25 分 12 秒 (日本時間)
composite number 合成数
568226507077362651776915920250487796002403339363068703549216057647844254462639083730770154973328759403136991750714302679<120>
prime factors 素因数
3612894678113888041059928968912010429438828368442805183<55>
157277351736698105397837438895727658454503219848468238656677499113<66>
factorization results 素因数分解の結果
568226507077362651776915920250487796002403339363068703549216057647844254462639083730770154973328759403136991750714302679=3612894678113888041059928968912010429438828368442805183*157277351736698105397837438895727658454503219848468238656677499113

cado polynomial
n: 568226507077362651776915920250487796002403339363068703549216057647844254462639083730770154973328759403136991750714302679
skew: 98288.192
c0: 185045749019692604837115436704
c1: -335708675172311934067772
c2: -76336674741250584177
c3: 340541111805209
c4: 2916174966
c5: 15120
Y0: -163377427443427118012563
Y1: 1014819395995687991
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.479e-06
# f(x) = 15120*x^5+2916174966*x^4+340541111805209*x^3-76336674741250584177*x^2-335708675172311934067772*x+185045749019692604837115436704
# g(x) = 1014819395995687991*x-163377427443427118012563

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: 3612894678113888041059928968912010429438828368442805183 157277351736698105397837438895727658454503219848468238656677499113
Info:Square Root: Total cpu/real time for sqrt: 808.21/107.687
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): 20088/35.270/42.783/47.930/1.045
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16011/34.370/37.880/43.300/0.839
Info:Polynomial Selection (size optimized): Total time: 3058.13
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1997.73
Info:Polynomial Selection (root optimized): Rootsieve time: 1949.26
Info:Generate Factor Base: Total cpu/real time for makefb: 5.32/0.850726
Info:Generate Free Relations: Total cpu/real time for freerel: 130.86/16.472
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13424902
Info:Lattice Sieving: Average J: 1915.15 for 238512 special-q, max bucket fill -bkmult 1.0,1s:1.236140
Info:Lattice Sieving: Total time: 48755.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.47/41.4457
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 151.21/114.552
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 109.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.19/42.8708
Info:Filtering - Merging: Merged matrix has 643081 rows and total weight 66004384 (102.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.83/8.3379
Info:Filtering - Merging: Total cpu/real time for replay: 13.99/11.0575
Info:Linear Algebra: Total cpu/real time for bwc: 2789.18/754.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 449.08, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Linear Algebra: Lingen CPU time 61.38, WCT time 16.68
Info:Linear Algebra: Mksol: WCT time 276.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 25.97/6.02417
Info:Square Root: Total cpu/real time for sqrt: 808.21/107.687
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 121469/14169.2
Info:root: Cleaning up computation data in /tmp/cado.i8t0eix_
3612894678113888041059928968912010429438828368442805183 157277351736698105397837438895727658454503219848468238656677499113
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 24, 2022 09:21:02 UTC 2022 年 12 月 24 日 (土) 18 時 21 分 2 秒 (日本時間)

26×10202-53

c118

name 名前Ignacio Santos
date 日付December 27, 2022 18:11:40 UTC 2022 年 12 月 28 日 (水) 3 時 11 分 40 秒 (日本時間)
composite number 合成数
2561722818672974449551057735010860134982400036854231334720223591457915478118120643473163987540319836678042576278080033<118>
prime factors 素因数
42898764860727959043499746337449397903966510018799909<53>
59715537894614898329807554683463597606032201484984066130190082637<65>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1900000, q1=2000000.
->               client 1 q0: 1900000
      LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
-> makeJobFile(): Adjusted to q0=2000001, q1=2100000.
->               client 1 q0: 2000001
      LatSieveTime: 80
        LatSieveTime: 94
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=2100001, q1=2200000.
->               client 1 q0: 2100001
      LatSieveTime: 90
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 129
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 95
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 96
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 139
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 91
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 142
-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 94
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 145
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 84
        LatSieveTime: 92
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 140
        LatSieveTime: 143
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 90
        LatSieveTime: 94
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 135
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 97
        LatSieveTime: 101
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 140
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 96
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 137
        LatSieveTime: 138
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 138
        LatSieveTime: 138
Tue Dec 27 18:55:36 2022  
Tue Dec 27 18:55:36 2022  
Tue Dec 27 18:55:36 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 18:55:36 2022  random seeds: 157245f8 1712782c
Tue Dec 27 18:55:36 2022  factoring 2561722818672974449551057735010860134982400036854231334720223591457915478118120643473163987540319836678042576278080033 (118 digits)
Tue Dec 27 18:55:36 2022  searching for 15-digit factors
Tue Dec 27 18:55:36 2022  commencing number field sieve (118-digit input)
Tue Dec 27 18:55:36 2022  R0: -47974244125775288867520
Tue Dec 27 18:55:36 2022  R1: 5887524144793
Tue Dec 27 18:55:36 2022  A0: -344794527113611877761751263319
Tue Dec 27 18:55:36 2022  A1: -5931311433344740316825245
Tue Dec 27 18:55:36 2022  A2: 157090914736471282820
Tue Dec 27 18:55:36 2022  A3: -433548870739460
Tue Dec 27 18:55:36 2022  A4: 5844399264
Tue Dec 27 18:55:36 2022  A5: 10080
Tue Dec 27 18:55:36 2022  skew 164963.94, size 2.088e-011, alpha -7.214, combined = 3.197e-010 rroots = 3
Tue Dec 27 18:55:36 2022  
Tue Dec 27 18:55:36 2022  commencing relation filtering
Tue Dec 27 18:55:36 2022  estimated available RAM is 65413.5 MB
Tue Dec 27 18:55:36 2022  commencing duplicate removal, pass 1
Tue Dec 27 18:55:55 2022  found 825331 hash collisions in 9127966 relations
Tue Dec 27 18:56:05 2022  added 62524 free relations
Tue Dec 27 18:56:05 2022  commencing duplicate removal, pass 2
Tue Dec 27 18:56:07 2022  found 616436 duplicates and 8574054 unique relations
Tue Dec 27 18:56:07 2022  memory use: 32.6 MB
Tue Dec 27 18:56:07 2022  reading ideals above 100000
Tue Dec 27 18:56:07 2022  commencing singleton removal, initial pass
Tue Dec 27 18:56:38 2022  memory use: 188.3 MB
Tue Dec 27 18:56:38 2022  reading all ideals from disk
Tue Dec 27 18:56:38 2022  memory use: 300.6 MB
Tue Dec 27 18:56:39 2022  keeping 10027805 ideals with weight <= 200, target excess is 45698
Tue Dec 27 18:56:39 2022  commencing in-memory singleton removal
Tue Dec 27 18:56:40 2022  begin with 8574054 relations and 10027805 unique ideals
Tue Dec 27 18:56:43 2022  reduce to 2108538 relations and 2218021 ideals in 29 passes
Tue Dec 27 18:56:43 2022  max relations containing the same ideal: 77
Tue Dec 27 18:56:43 2022  filtering wants 1000000 more relations
Tue Dec 27 18:56:43 2022  elapsed time 00:01:07
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
     LatSieveTime: 101
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 128
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 137
Tue Dec 27 18:59:05 2022  
Tue Dec 27 18:59:05 2022  
Tue Dec 27 18:59:05 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 18:59:05 2022  random seeds: f0c09cb0 ce139e41
Tue Dec 27 18:59:05 2022  factoring 2561722818672974449551057735010860134982400036854231334720223591457915478118120643473163987540319836678042576278080033 (118 digits)
Tue Dec 27 18:59:05 2022  searching for 15-digit factors
Tue Dec 27 18:59:05 2022  commencing number field sieve (118-digit input)
Tue Dec 27 18:59:05 2022  R0: -47974244125775288867520
Tue Dec 27 18:59:05 2022  R1: 5887524144793
Tue Dec 27 18:59:05 2022  A0: -344794527113611877761751263319
Tue Dec 27 18:59:05 2022  A1: -5931311433344740316825245
Tue Dec 27 18:59:05 2022  A2: 157090914736471282820
Tue Dec 27 18:59:05 2022  A3: -433548870739460
Tue Dec 27 18:59:05 2022  A4: 5844399264
Tue Dec 27 18:59:05 2022  A5: 10080
Tue Dec 27 18:59:05 2022  skew 164963.94, size 2.088e-011, alpha -7.214, combined = 3.197e-010 rroots = 3
Tue Dec 27 18:59:05 2022  
Tue Dec 27 18:59:05 2022  commencing relation filtering
Tue Dec 27 18:59:05 2022  estimated available RAM is 65413.5 MB
Tue Dec 27 18:59:05 2022  commencing duplicate removal, pass 1
Tue Dec 27 18:59:26 2022  found 924439 hash collisions in 9795350 relations
Tue Dec 27 18:59:35 2022  added 225 free relations
Tue Dec 27 18:59:35 2022  commencing duplicate removal, pass 2
Tue Dec 27 18:59:38 2022  found 688045 duplicates and 9107530 unique relations
Tue Dec 27 18:59:38 2022  memory use: 34.6 MB
Tue Dec 27 18:59:38 2022  reading ideals above 100000
Tue Dec 27 18:59:38 2022  commencing singleton removal, initial pass
Tue Dec 27 19:00:11 2022  memory use: 344.5 MB
Tue Dec 27 19:00:11 2022  reading all ideals from disk
Tue Dec 27 19:00:11 2022  memory use: 319.5 MB
Tue Dec 27 19:00:12 2022  keeping 10286308 ideals with weight <= 200, target excess is 48737
Tue Dec 27 19:00:12 2022  commencing in-memory singleton removal
Tue Dec 27 19:00:13 2022  begin with 9107530 relations and 10286308 unique ideals
Tue Dec 27 19:00:16 2022  reduce to 2829897 relations and 2794736 ideals in 22 passes
Tue Dec 27 19:00:16 2022  max relations containing the same ideal: 93
Tue Dec 27 19:00:16 2022  filtering wants 1000000 more relations
Tue Dec 27 19:00:16 2022  elapsed time 00:01:11
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
       LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 100
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 140
Tue Dec 27 19:02:42 2022  
Tue Dec 27 19:02:42 2022  
Tue Dec 27 19:02:42 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 19:02:42 2022  random seeds: 69f3d3a0 fbd7f8ec
Tue Dec 27 19:02:42 2022  factoring 2561722818672974449551057735010860134982400036854231334720223591457915478118120643473163987540319836678042576278080033 (118 digits)
Tue Dec 27 19:02:42 2022  searching for 15-digit factors
Tue Dec 27 19:02:43 2022  commencing number field sieve (118-digit input)
Tue Dec 27 19:02:43 2022  R0: -47974244125775288867520
Tue Dec 27 19:02:43 2022  R1: 5887524144793
Tue Dec 27 19:02:43 2022  A0: -344794527113611877761751263319
Tue Dec 27 19:02:43 2022  A1: -5931311433344740316825245
Tue Dec 27 19:02:43 2022  A2: 157090914736471282820
Tue Dec 27 19:02:43 2022  A3: -433548870739460
Tue Dec 27 19:02:43 2022  A4: 5844399264
Tue Dec 27 19:02:43 2022  A5: 10080
Tue Dec 27 19:02:43 2022  skew 164963.94, size 2.088e-011, alpha -7.214, combined = 3.197e-010 rroots = 3
Tue Dec 27 19:02:43 2022  
Tue Dec 27 19:02:43 2022  commencing relation filtering
Tue Dec 27 19:02:43 2022  estimated available RAM is 65413.5 MB
Tue Dec 27 19:02:43 2022  commencing duplicate removal, pass 1
Tue Dec 27 19:03:05 2022  found 1024967 hash collisions in 10407947 relations
Tue Dec 27 19:03:15 2022  added 180 free relations
Tue Dec 27 19:03:15 2022  commencing duplicate removal, pass 2
Tue Dec 27 19:03:18 2022  found 763281 duplicates and 9644846 unique relations
Tue Dec 27 19:03:18 2022  memory use: 49.3 MB
Tue Dec 27 19:03:18 2022  reading ideals above 100000
Tue Dec 27 19:03:18 2022  commencing singleton removal, initial pass
Tue Dec 27 19:03:55 2022  memory use: 344.5 MB
Tue Dec 27 19:03:55 2022  reading all ideals from disk
Tue Dec 27 19:03:55 2022  memory use: 338.6 MB
Tue Dec 27 19:03:55 2022  keeping 10530223 ideals with weight <= 200, target excess is 51722
Tue Dec 27 19:03:56 2022  commencing in-memory singleton removal
Tue Dec 27 19:03:56 2022  begin with 9644846 relations and 10530223 unique ideals
Tue Dec 27 19:04:00 2022  reduce to 3534399 relations and 3321208 ideals in 18 passes
Tue Dec 27 19:04:00 2022  max relations containing the same ideal: 102
Tue Dec 27 19:04:01 2022  removing 627125 relations and 550528 ideals in 76597 cliques
Tue Dec 27 19:04:01 2022  commencing in-memory singleton removal
Tue Dec 27 19:04:01 2022  begin with 2907274 relations and 3321208 unique ideals
Tue Dec 27 19:04:02 2022  reduce to 2813749 relations and 2674381 ideals in 10 passes
Tue Dec 27 19:04:02 2022  max relations containing the same ideal: 89
Tue Dec 27 19:04:03 2022  removing 469284 relations and 392687 ideals in 76597 cliques
Tue Dec 27 19:04:03 2022  commencing in-memory singleton removal
Tue Dec 27 19:04:03 2022  begin with 2344465 relations and 2674381 unique ideals
Tue Dec 27 19:04:03 2022  reduce to 2277229 relations and 2212630 ideals in 10 passes
Tue Dec 27 19:04:03 2022  max relations containing the same ideal: 75
Tue Dec 27 19:04:04 2022  relations with 0 large ideals: 170
Tue Dec 27 19:04:04 2022  relations with 1 large ideals: 548
Tue Dec 27 19:04:04 2022  relations with 2 large ideals: 8359
Tue Dec 27 19:04:04 2022  relations with 3 large ideals: 63832
Tue Dec 27 19:04:04 2022  relations with 4 large ideals: 249973
Tue Dec 27 19:04:04 2022  relations with 5 large ideals: 545649
Tue Dec 27 19:04:04 2022  relations with 6 large ideals: 680049
Tue Dec 27 19:04:04 2022  relations with 7+ large ideals: 728649
Tue Dec 27 19:04:04 2022  commencing 2-way merge
Tue Dec 27 19:04:05 2022  reduce to 1273352 relation sets and 1208756 unique ideals
Tue Dec 27 19:04:05 2022  ignored 3 oversize relation sets
Tue Dec 27 19:04:05 2022  commencing full merge
Tue Dec 27 19:04:18 2022  memory use: 139.3 MB
Tue Dec 27 19:04:18 2022  found 632206 cycles, need 620956
Tue Dec 27 19:04:18 2022  weight of 620956 cycles is about 43489668 (70.04/cycle)
Tue Dec 27 19:04:18 2022  distribution of cycle lengths:
Tue Dec 27 19:04:18 2022  1 relations: 73271
Tue Dec 27 19:04:18 2022  2 relations: 69800
Tue Dec 27 19:04:18 2022  3 relations: 69946
Tue Dec 27 19:04:18 2022  4 relations: 63488
Tue Dec 27 19:04:18 2022  5 relations: 57023
Tue Dec 27 19:04:18 2022  6 relations: 49408
Tue Dec 27 19:04:18 2022  7 relations: 43992
Tue Dec 27 19:04:18 2022  8 relations: 37858
Tue Dec 27 19:04:18 2022  9 relations: 32443
Tue Dec 27 19:04:18 2022  10+ relations: 123727
Tue Dec 27 19:04:18 2022  heaviest cycle: 21 relations
Tue Dec 27 19:04:19 2022  commencing cycle optimization
Tue Dec 27 19:04:19 2022  start with 3733518 relations
Tue Dec 27 19:04:23 2022  pruned 72443 relations
Tue Dec 27 19:04:23 2022  memory use: 128.0 MB
Tue Dec 27 19:04:23 2022  distribution of cycle lengths:
Tue Dec 27 19:04:23 2022  1 relations: 73271
Tue Dec 27 19:04:23 2022  2 relations: 71181
Tue Dec 27 19:04:23 2022  3 relations: 72130
Tue Dec 27 19:04:23 2022  4 relations: 64552
Tue Dec 27 19:04:23 2022  5 relations: 57987
Tue Dec 27 19:04:23 2022  6 relations: 49861
Tue Dec 27 19:04:23 2022  7 relations: 44453
Tue Dec 27 19:04:23 2022  8 relations: 37744
Tue Dec 27 19:04:23 2022  9 relations: 32236
Tue Dec 27 19:04:23 2022  10+ relations: 117541
Tue Dec 27 19:04:23 2022  heaviest cycle: 21 relations
Tue Dec 27 19:04:24 2022  RelProcTime: 101
Tue Dec 27 19:04:24 2022  elapsed time 00:01:42
Tue Dec 27 19:04:24 2022  
Tue Dec 27 19:04:24 2022  
Tue Dec 27 19:04:24 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 19:04:24 2022  random seeds: 43a15570 a9a660fa
Tue Dec 27 19:04:24 2022  factoring 2561722818672974449551057735010860134982400036854231334720223591457915478118120643473163987540319836678042576278080033 (118 digits)
Tue Dec 27 19:04:24 2022  searching for 15-digit factors
Tue Dec 27 19:04:24 2022  commencing number field sieve (118-digit input)
Tue Dec 27 19:04:24 2022  R0: -47974244125775288867520
Tue Dec 27 19:04:24 2022  R1: 5887524144793
Tue Dec 27 19:04:24 2022  A0: -344794527113611877761751263319
Tue Dec 27 19:04:24 2022  A1: -5931311433344740316825245
Tue Dec 27 19:04:24 2022  A2: 157090914736471282820
Tue Dec 27 19:04:24 2022  A3: -433548870739460
Tue Dec 27 19:04:24 2022  A4: 5844399264
Tue Dec 27 19:04:24 2022  A5: 10080
Tue Dec 27 19:04:24 2022  skew 164963.94, size 2.088e-011, alpha -7.214, combined = 3.197e-010 rroots = 3
Tue Dec 27 19:04:24 2022  
Tue Dec 27 19:04:24 2022  commencing linear algebra
Tue Dec 27 19:04:24 2022  read 620956 cycles
Tue Dec 27 19:04:25 2022  cycles contain 2175840 unique relations
Tue Dec 27 19:04:30 2022  read 2175840 relations
Tue Dec 27 19:04:32 2022  using 20 quadratic characters above 134217248
Tue Dec 27 19:04:37 2022  building initial matrix
Tue Dec 27 19:04:48 2022  memory use: 274.8 MB
Tue Dec 27 19:04:49 2022  read 620956 cycles
Tue Dec 27 19:04:49 2022  matrix is 620778 x 620956 (188.5 MB) with weight 60037709 (96.69/col)
Tue Dec 27 19:04:49 2022  sparse part has weight 41961573 (67.58/col)
Tue Dec 27 19:04:52 2022  filtering completed in 2 passes
Tue Dec 27 19:04:52 2022  matrix is 619004 x 619180 (188.3 MB) with weight 59958014 (96.83/col)
Tue Dec 27 19:04:52 2022  sparse part has weight 41936690 (67.73/col)
Tue Dec 27 19:04:53 2022  matrix starts at (0, 0)
Tue Dec 27 19:04:53 2022  matrix is 619004 x 619180 (188.3 MB) with weight 59958014 (96.83/col)
Tue Dec 27 19:04:53 2022  sparse part has weight 41936690 (67.73/col)
Tue Dec 27 19:04:53 2022  saving the first 48 matrix rows for later
Tue Dec 27 19:04:53 2022  matrix includes 64 packed rows
Tue Dec 27 19:04:53 2022  matrix is 618956 x 619180 (180.8 MB) with weight 47732631 (77.09/col)
Tue Dec 27 19:04:53 2022  sparse part has weight 41215515 (66.56/col)
Tue Dec 27 19:04:53 2022  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Dec 27 19:04:55 2022  commencing Lanczos iteration (32 threads)
Tue Dec 27 19:04:55 2022  memory use: 141.0 MB
Tue Dec 27 19:04:57 2022  linear algebra at 0.5%, ETA 0h 6m
Tue Dec 27 19:10:10 2022  lanczos halted after 9790 iterations (dim = 618956)
Tue Dec 27 19:10:11 2022  recovered 33 nontrivial dependencies
Tue Dec 27 19:10:11 2022  BLanczosTime: 347
Tue Dec 27 19:10:11 2022  elapsed time 00:05:47
Tue Dec 27 19:10:11 2022  
Tue Dec 27 19:10:11 2022  
Tue Dec 27 19:10:11 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 19:10:11 2022  random seeds: 1197b21c 736b588a
Tue Dec 27 19:10:11 2022  factoring 2561722818672974449551057735010860134982400036854231334720223591457915478118120643473163987540319836678042576278080033 (118 digits)
Tue Dec 27 19:10:11 2022  searching for 15-digit factors
Tue Dec 27 19:10:11 2022  commencing number field sieve (118-digit input)
Tue Dec 27 19:10:11 2022  R0: -47974244125775288867520
Tue Dec 27 19:10:11 2022  R1: 5887524144793
Tue Dec 27 19:10:11 2022  A0: -344794527113611877761751263319
Tue Dec 27 19:10:11 2022  A1: -5931311433344740316825245
Tue Dec 27 19:10:11 2022  A2: 157090914736471282820
Tue Dec 27 19:10:11 2022  A3: -433548870739460
Tue Dec 27 19:10:11 2022  A4: 5844399264
Tue Dec 27 19:10:11 2022  A5: 10080
Tue Dec 27 19:10:11 2022  skew 164963.94, size 2.088e-011, alpha -7.214, combined = 3.197e-010 rroots = 3
Tue Dec 27 19:10:11 2022  
Tue Dec 27 19:10:11 2022  commencing square root phase
Tue Dec 27 19:10:11 2022  reading relations for dependency 1
Tue Dec 27 19:10:11 2022  read 309234 cycles
Tue Dec 27 19:10:12 2022  cycles contain 1085762 unique relations
Tue Dec 27 19:10:15 2022  read 1085762 relations
Tue Dec 27 19:10:17 2022  multiplying 1085762 relations
Tue Dec 27 19:10:42 2022  multiply complete, coefficients have about 48.12 million bits
Tue Dec 27 19:10:42 2022  initial square root is modulo 8110441
Tue Dec 27 19:11:17 2022  sqrtTime: 66
Tue Dec 27 19:11:17 2022  prp53 factor: 42898764860727959043499746337449397903966510018799909
Tue Dec 27 19:11:17 2022  prp65 factor: 59715537894614898329807554683463597606032201484984066130190082637
Tue Dec 27 19:11:17 2022  elapsed time 00:01:06
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 24, 2022 10:41:43 UTC 2022 年 12 月 24 日 (土) 19 時 41 分 43 秒 (日本時間)

26×10203-53

c196

name 名前Bob Backstrom
date 日付July 23, 2023 14:44:43 UTC 2023 年 7 月 23 日 (日) 23 時 44 分 43 秒 (日本時間)
composite number 合成数
1193939459522571943238712919394568637606083788315534898964055697174761081406165229222106355755096208318979368384029874055160797458890890719729230327317745135763785837467629976514453138841697475069<196>
prime factors 素因数
441430718735599696212636422470496595667059994129335523790845700037301<69>
2704704065322867844557497683698204117027839981253591515136304295526989858814629034129239404414296993820822092274189556153411369<127>
factorization results 素因数分解の結果
Number: n
N=1193939459522571943238712919394568637606083788315534898964055697174761081406165229222106355755096208318979368384029874055160797458890890719729230327317745135763785837467629976514453138841697475069  ( 196 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Jul 22 21:11:20 2023  prp69 factor: 441430718735599696212636422470496595667059994129335523790845700037301
Sat Jul 22 21:11:20 2023  prp127 factor: 2704704065322867844557497683698204117027839981253591515136304295526989858814629034129239404414296993820822092274189556153411369
Sat Jul 22 21:11:20 2023  elapsed time 03:31:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 26x10^203-5 = 86(202)5
#
n: 1193939459522571943238712919394568637606083788315534898964055697174761081406165229222106355755096208318979368384029874055160797458890890719729230327317745135763785837467629976514453138841697475069
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5200
c0: -1
skew: 0.18
# Murphy_E = 9.705e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2911999 hash collisions in 16341320 relations (14049101 unique)
Msieve: matrix is 2531836 x 2532061 (714.6 MB)

Sieving start time: 2023/07/22 02:46:05
Sieving end time  : 2023/07/22 17:39:02

Total sieving time: 14hrs 52min 57secs.

Total relation processing time: 3hrs 23min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:21:14 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 14 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:21:14 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 14 秒 (日本時間)

26×10204-53

c180

name 名前Bob Backstrom
date 日付October 15, 2023 06:44:38 UTC 2023 年 10 月 15 日 (日) 15 時 44 分 38 秒 (日本時間)
composite number 合成数
518675828468142686017861682889741800570566460812142102440382759193386886393228374492024567587559990855245724259110678565375742073438098842843626664676511485955386411386580784642287<180>
prime factors 素因数
2862210605326969982434901423274817689736359240241<49>
181215116561588864121611469602164746614636252425563604731578570040423809214231580681493895181465943006781362839648226844384267576607<132>
factorization results 素因数分解の結果
Number: n
N=518675828468142686017861682889741800570566460812142102440382759193386886393228374492024567587559990855245724259110678565375742073438098842843626664676511485955386411386580784642287  ( 180 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Oct 15 17:36:56 2023  prp49 factor: 2862210605326969982434901423274817689736359240241
Sun Oct 15 17:36:56 2023  prp132 factor: 181215116561588864121611469602164746614636252425563604731578570040423809214231580681493895181465943006781362839648226844384267576607
Sun Oct 15 17:36:56 2023  elapsed time 02:42:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.033).
Factorization parameters were as follows:
#
# N = 26x10^204-5 = 86(203)5
#
n: 518675828468142686017861682889741800570566460812142102440382759193386886393228374492024567587559990855245724259110678565375742073438098842843626664676511485955386411386580784642287
m: 10000000000000000000000000000000000
deg: 6
c6: 26
c0: -5
skew: 0.76
# Murphy_E = 9.829e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3115222 hash collisions in 18760799 relations (16361973 unique)
Msieve: matrix is 2252892 x 2253117 (637.9 MB)

Sieving start time: 2023/10/14 18:59:43
Sieving end time  : 2023/10/15 13:54:20

Total sieving time: 18hrs 54min 37secs.

Total relation processing time: 2hrs 34min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 14sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18600000,18600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:21:27 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 27 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:21:27 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 27 秒 (日本時間)

26×10205-53

c168

name 名前Bob Backstrom
date 日付February 10, 2024 13:54:02 UTC 2024 年 2 月 10 日 (土) 22 時 54 分 2 秒 (日本時間)
composite number 合成数
196677751746769888658779271196103598539272802811508559387630101954470715313414773114930928101455106186001072421358845626009762867436169408430714702322186802741674294921<168>
prime factors 素因数
999514992632591568745337550415865083695154076691567308500386747433246080868658929<81>
196773188192751819027147584483417539949232325206702335551326077706330524694157425850649<87>
factorization results 素因数分解の結果
Number: n
N=196677751746769888658779271196103598539272802811508559387630101954470715313414773114930928101455106186001072421358845626009762867436169408430714702322186802741674294921  ( 168 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Feb 10 11:58:52 2024  prp81 factor: 999514992632591568745337550415865083695154076691567308500386747433246080868658929
Sat Feb 10 11:58:52 2024  prp87 factor: 196773188192751819027147584483417539949232325206702335551326077706330524694157425850649
Sat Feb 10 11:58:52 2024  elapsed time 02:51:47 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 26x10^205-5 = 86(204)5
#
n: 196677751746769888658779271196103598539272802811508559387630101954470715313414773114930928101455106186001072421358845626009762867436169408430714702322186802741674294921
m: 100000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -5
skew: 0.72
# Murphy_E = 9.431e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3161935 hash collisions in 20056570 relations (17434994 unique)
Msieve: matrix is 2331059 x 2331284 (657.8 MB)

Sieving start time: 2024/02/09 00:21:52
Sieving end time  : 2024/02/10 09:06:46

Total sieving time: 32hrs 44min 54secs.

Total relation processing time: 2hrs 43min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 27sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:21:38 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 38 秒 (日本時間)
4511e654801000Dmitry DomanovJanuary 22, 2023 16:21:38 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 38 秒 (日本時間)
4480Ignacio SantosJanuary 26, 2024 15:28:43 UTC 2024 年 1 月 27 日 (土) 0 時 28 分 43 秒 (日本時間)

26×10207-53

c165

name 名前Dmitry Domanov
date 日付January 24, 2023 21:34:52 UTC 2023 年 1 月 25 日 (水) 6 時 34 分 52 秒 (日本時間)
composite number 合成数
125065767632562450473460616395141653520840100181857154699524720642547933268233474739736006875187924637185920943105982782806663595742893150118611889414879504154394571<165>
prime factors 素因数
738357589383844434849217584645518890259<39>
composite cofactor 合成数の残り
169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4009379108
Step 1 took 26622ms
Step 2 took 12509ms
********** Factor found in step 2: 738357589383844434849217584645518890259
Found prime factor of 39 digits: 738357589383844434849217584645518890259
Composite cofactor 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 has 126 digits

c126

name 名前Ignacio Santos
date 日付January 30, 2023 16:27:32 UTC 2023 年 1 月 31 日 (火) 1 時 27 分 32 秒 (日本時間)
composite number 合成数
169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369<126>
prime factors 素因数
53904959825124698195913538911972782205187<41>
3142266266678086144015028470702572132145050748044272958392463923657985344575947172387<85>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2900000, q1=3000000.
->               client 1 q0: 2900000
      LatSieveTime: 88
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-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 100
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-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 89
        LatSieveTime: 107
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-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 107
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        LatSieveTime: 110
        LatSieveTime: 117
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-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 106
        LatSieveTime: 107
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        LatSieveTime: 109
        LatSieveTime: 109
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-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 111
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-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 104
        LatSieveTime: 106
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-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 113
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-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 107
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-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 103
        LatSieveTime: 113
        LatSieveTime: 117
        LatSieveTime: 119
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-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 108
        LatSieveTime: 110
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-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 118
        LatSieveTime: 118
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-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 110
        LatSieveTime: 111
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        LatSieveTime: 119
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-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
      LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 122
        LatSieveTime: 123
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-> makeJobFile(): Adjusted to q0=4300001, q1=4400000.
->               client 1 q0: 4300001
      LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
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        LatSieveTime: 155
        LatSieveTime: 162
-> makeJobFile(): Adjusted to q0=4400001, q1=4500000.
->               client 1 q0: 4400001
      LatSieveTime: 104
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 120
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-> makeJobFile(): Adjusted to q0=4500001, q1=4600000.
->               client 1 q0: 4500001
      LatSieveTime: 113
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
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        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 151
        LatSieveTime: 153
-> makeJobFile(): Adjusted to q0=4600001, q1=4700000.
->               client 1 q0: 4600001
      LatSieveTime: 111
        LatSieveTime: 115
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 154
        LatSieveTime: 155
        LatSieveTime: 157
        LatSieveTime: 158
-> makeJobFile(): Adjusted to q0=4700001, q1=4800000.
->               client 1 q0: 4700001
      LatSieveTime: 109
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 167
-> makeJobFile(): Adjusted to q0=4800001, q1=4900000.
->               client 1 q0: 4800001
      LatSieveTime: 107
        LatSieveTime: 113
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 152
        LatSieveTime: 154
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=4900001, q1=5000000.
->               client 1 q0: 4900001
      LatSieveTime: 115
        LatSieveTime: 118
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 147
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 152
        LatSieveTime: 155
        LatSieveTime: 156
        LatSieveTime: 161
        LatSieveTime: 165
Mon Jan 30 16:24:54 2023  
Mon Jan 30 16:24:54 2023  
Mon Jan 30 16:24:54 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:24:54 2023  random seeds: b4cf3700 785a1344
Mon Jan 30 16:24:54 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:24:54 2023  searching for 15-digit factors
Mon Jan 30 16:24:54 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:24:54 2023  R0: -2288225112085390734650189
Mon Jan 30 16:24:54 2023  R1: 18383900369549
Mon Jan 30 16:24:54 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:24:54 2023  A1: 7935890940795657811831948
Mon Jan 30 16:24:54 2023  A2: -345768824987745878078
Mon Jan 30 16:24:54 2023  A3: -256046698279050
Mon Jan 30 16:24:54 2023  A4: 10994966541
Mon Jan 30 16:24:54 2023  A5: 2700
Mon Jan 30 16:24:54 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:24:54 2023  
Mon Jan 30 16:24:54 2023  commencing relation filtering
Mon Jan 30 16:24:54 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:24:54 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:25:20 2023  found 1144933 hash collisions in 12429867 relations
Mon Jan 30 16:25:37 2023  added 115364 free relations
Mon Jan 30 16:25:37 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:25:41 2023  found 735952 duplicates and 11809279 unique relations
Mon Jan 30 16:25:41 2023  memory use: 49.3 MB
Mon Jan 30 16:25:41 2023  reading ideals above 720000
Mon Jan 30 16:25:41 2023  commencing singleton removal, initial pass
Mon Jan 30 16:26:22 2023  memory use: 376.5 MB
Mon Jan 30 16:26:22 2023  reading all ideals from disk
Mon Jan 30 16:26:22 2023  memory use: 348.0 MB
Mon Jan 30 16:26:22 2023  commencing in-memory singleton removal
Mon Jan 30 16:26:23 2023  begin with 11809279 relations and 16202683 unique ideals
Mon Jan 30 16:26:24 2023  reduce to 523 relations and 9 ideals in 11 passes
Mon Jan 30 16:26:24 2023  max relations containing the same ideal: 2
Mon Jan 30 16:26:24 2023  filtering wants 1000000 more relations
Mon Jan 30 16:26:24 2023  elapsed time 00:01:30
-> makeJobFile(): Adjusted to q0=5000001, q1=5100000.
->               client 1 q0: 5000001
 LatSieveTime: 103
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 140
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 159
Mon Jan 30 16:29:09 2023  
Mon Jan 30 16:29:09 2023  
Mon Jan 30 16:29:09 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:29:09 2023  random seeds: d06ab690 796d37c1
Mon Jan 30 16:29:09 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:29:09 2023  searching for 15-digit factors
Mon Jan 30 16:29:09 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:29:09 2023  R0: -2288225112085390734650189
Mon Jan 30 16:29:09 2023  R1: 18383900369549
Mon Jan 30 16:29:09 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:29:09 2023  A1: 7935890940795657811831948
Mon Jan 30 16:29:09 2023  A2: -345768824987745878078
Mon Jan 30 16:29:09 2023  A3: -256046698279050
Mon Jan 30 16:29:09 2023  A4: 10994966541
Mon Jan 30 16:29:09 2023  A5: 2700
Mon Jan 30 16:29:09 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:29:09 2023  
Mon Jan 30 16:29:09 2023  commencing relation filtering
Mon Jan 30 16:29:09 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:29:09 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:29:37 2023  found 1248734 hash collisions in 13132982 relations
Mon Jan 30 16:29:54 2023  added 682 free relations
Mon Jan 30 16:29:54 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:29:58 2023  found 796920 duplicates and 12336744 unique relations
Mon Jan 30 16:29:58 2023  memory use: 49.3 MB
Mon Jan 30 16:29:58 2023  reading ideals above 720000
Mon Jan 30 16:29:58 2023  commencing singleton removal, initial pass
Mon Jan 30 16:30:41 2023  memory use: 376.5 MB
Mon Jan 30 16:30:41 2023  reading all ideals from disk
Mon Jan 30 16:30:41 2023  memory use: 363.8 MB
Mon Jan 30 16:30:41 2023  commencing in-memory singleton removal
Mon Jan 30 16:30:42 2023  begin with 12336744 relations and 16567082 unique ideals
Mon Jan 30 16:30:43 2023  reduce to 523 relations and 9 ideals in 12 passes
Mon Jan 30 16:30:43 2023  max relations containing the same ideal: 2
Mon Jan 30 16:30:43 2023  filtering wants 1000000 more relations
Mon Jan 30 16:30:43 2023  elapsed time 00:01:34
-> makeJobFile(): Adjusted to q0=5100001, q1=5200000.
->               client 1 q0: 5100001
    LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 153
        LatSieveTime: 154
        LatSieveTime: 155
        LatSieveTime: 157
        LatSieveTime: 169
Mon Jan 30 16:33:38 2023  
Mon Jan 30 16:33:38 2023  
Mon Jan 30 16:33:38 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:33:38 2023  random seeds: c0f699b8 aa2d7cbf
Mon Jan 30 16:33:38 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:33:38 2023  searching for 15-digit factors
Mon Jan 30 16:33:38 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:33:38 2023  R0: -2288225112085390734650189
Mon Jan 30 16:33:38 2023  R1: 18383900369549
Mon Jan 30 16:33:38 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:33:38 2023  A1: 7935890940795657811831948
Mon Jan 30 16:33:38 2023  A2: -345768824987745878078
Mon Jan 30 16:33:38 2023  A3: -256046698279050
Mon Jan 30 16:33:38 2023  A4: 10994966541
Mon Jan 30 16:33:38 2023  A5: 2700
Mon Jan 30 16:33:38 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:33:38 2023  
Mon Jan 30 16:33:38 2023  commencing relation filtering
Mon Jan 30 16:33:38 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:33:38 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:34:07 2023  found 1350060 hash collisions in 13744018 relations
Mon Jan 30 16:34:24 2023  added 642 free relations
Mon Jan 30 16:34:24 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:34:28 2023  found 861779 duplicates and 12882881 unique relations
Mon Jan 30 16:34:28 2023  memory use: 49.3 MB
Mon Jan 30 16:34:28 2023  reading ideals above 720000
Mon Jan 30 16:34:28 2023  commencing singleton removal, initial pass
Mon Jan 30 16:35:11 2023  memory use: 376.5 MB
Mon Jan 30 16:35:11 2023  reading all ideals from disk
Mon Jan 30 16:35:11 2023  memory use: 380.1 MB
Mon Jan 30 16:35:12 2023  commencing in-memory singleton removal
Mon Jan 30 16:35:12 2023  begin with 12882881 relations and 16930353 unique ideals
Mon Jan 30 16:35:14 2023  reduce to 523 relations and 9 ideals in 14 passes
Mon Jan 30 16:35:14 2023  max relations containing the same ideal: 2
Mon Jan 30 16:35:14 2023  filtering wants 1000000 more relations
Mon Jan 30 16:35:14 2023  elapsed time 00:01:36
-> makeJobFile(): Adjusted to q0=5200001, q1=5300000.
->               client 1 q0: 5200001
    LatSieveTime: 103
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 149
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=5300001, q1=5400000.
->               client 1 q0: 5300001
      LatSieveTime: 113
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 137
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 155
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=5400001, q1=5500000.
->               client 1 q0: 5400001
      LatSieveTime: 118
        LatSieveTime: 121
        LatSieveTime: 126
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 151
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 153
        LatSieveTime: 154
        LatSieveTime: 155
        LatSieveTime: 160
        LatSieveTime: 167
        LatSieveTime: 173
Mon Jan 30 16:43:37 2023  
Mon Jan 30 16:43:37 2023  
Mon Jan 30 16:43:37 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:43:37 2023  random seeds: 113d6700 be9860b1
Mon Jan 30 16:43:37 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:43:37 2023  searching for 15-digit factors
Mon Jan 30 16:43:37 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:43:37 2023  R0: -2288225112085390734650189
Mon Jan 30 16:43:37 2023  R1: 18383900369549
Mon Jan 30 16:43:37 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:43:37 2023  A1: 7935890940795657811831948
Mon Jan 30 16:43:37 2023  A2: -345768824987745878078
Mon Jan 30 16:43:37 2023  A3: -256046698279050
Mon Jan 30 16:43:37 2023  A4: 10994966541
Mon Jan 30 16:43:37 2023  A5: 2700
Mon Jan 30 16:43:37 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:43:37 2023  
Mon Jan 30 16:43:37 2023  commencing relation filtering
Mon Jan 30 16:43:37 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:43:37 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:44:10 2023  found 1358204 hash collisions in 15520639 relations
Mon Jan 30 16:44:28 2023  added 1402 free relations
Mon Jan 30 16:44:28 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:44:34 2023  found 1060737 duplicates and 14461304 unique relations
Mon Jan 30 16:44:34 2023  memory use: 65.3 MB
Mon Jan 30 16:44:34 2023  reading ideals above 720000
Mon Jan 30 16:44:34 2023  commencing singleton removal, initial pass
Mon Jan 30 16:45:23 2023  memory use: 376.5 MB
Mon Jan 30 16:45:23 2023  reading all ideals from disk
Mon Jan 30 16:45:23 2023  memory use: 427.4 MB
Mon Jan 30 16:45:24 2023  keeping 17905115 ideals with weight <= 200, target excess is 116108
Mon Jan 30 16:45:24 2023  commencing in-memory singleton removal
Mon Jan 30 16:45:25 2023  begin with 14461304 relations and 17905115 unique ideals
Mon Jan 30 16:45:30 2023  reduce to 527 relations and 11 ideals in 55 passes
Mon Jan 30 16:45:30 2023  max relations containing the same ideal: 2
Mon Jan 30 16:45:30 2023  filtering wants 1000000 more relations
Mon Jan 30 16:45:30 2023  elapsed time 00:01:53
-> makeJobFile(): Adjusted to q0=5500001, q1=5600000.
->               client 1 q0: 5500001
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 151
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 155
        LatSieveTime: 159
        LatSieveTime: 161
        LatSieveTime: 165
Mon Jan 30 16:48:22 2023  
Mon Jan 30 16:48:22 2023  
Mon Jan 30 16:48:22 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:48:22 2023  random seeds: d3850ad4 84b93946
Mon Jan 30 16:48:22 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:48:22 2023  searching for 15-digit factors
Mon Jan 30 16:48:22 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:48:22 2023  R0: -2288225112085390734650189
Mon Jan 30 16:48:22 2023  R1: 18383900369549
Mon Jan 30 16:48:22 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:48:22 2023  A1: 7935890940795657811831948
Mon Jan 30 16:48:22 2023  A2: -345768824987745878078
Mon Jan 30 16:48:22 2023  A3: -256046698279050
Mon Jan 30 16:48:22 2023  A4: 10994966541
Mon Jan 30 16:48:22 2023  A5: 2700
Mon Jan 30 16:48:22 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:48:22 2023  
Mon Jan 30 16:48:22 2023  commencing relation filtering
Mon Jan 30 16:48:22 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:48:22 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:48:56 2023  found 1449845 hash collisions in 16130324 relations
Mon Jan 30 16:49:15 2023  added 437 free relations
Mon Jan 30 16:49:15 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:49:20 2023  found 1132315 duplicates and 14998446 unique relations
Mon Jan 30 16:49:20 2023  memory use: 65.3 MB
Mon Jan 30 16:49:20 2023  reading ideals above 720000
Mon Jan 30 16:49:21 2023  commencing singleton removal, initial pass
Mon Jan 30 16:50:12 2023  memory use: 376.5 MB
Mon Jan 30 16:50:12 2023  reading all ideals from disk
Mon Jan 30 16:50:12 2023  memory use: 443.5 MB
Mon Jan 30 16:50:13 2023  keeping 18213603 ideals with weight <= 200, target excess is 116120
Mon Jan 30 16:50:13 2023  commencing in-memory singleton removal
Mon Jan 30 16:50:14 2023  begin with 14998446 relations and 18213603 unique ideals
Mon Jan 30 16:50:22 2023  reduce to 2369275 relations and 2639160 ideals in 49 passes
Mon Jan 30 16:50:22 2023  max relations containing the same ideal: 49
Mon Jan 30 16:50:23 2023  filtering wants 1000000 more relations
Mon Jan 30 16:50:23 2023  elapsed time 00:02:01
-> makeJobFile(): Adjusted to q0=5600001, q1=5700000.
->               client 1 q0: 5600001
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Mon Jan 30 16:53:16 2023  
Mon Jan 30 16:53:16 2023  
Mon Jan 30 16:53:16 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:53:16 2023  random seeds: 56e8ec58 19daeabb
Mon Jan 30 16:53:16 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:53:16 2023  searching for 15-digit factors
Mon Jan 30 16:53:16 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:53:16 2023  R0: -2288225112085390734650189
Mon Jan 30 16:53:16 2023  R1: 18383900369549
Mon Jan 30 16:53:16 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:53:16 2023  A1: 7935890940795657811831948
Mon Jan 30 16:53:16 2023  A2: -345768824987745878078
Mon Jan 30 16:53:16 2023  A3: -256046698279050
Mon Jan 30 16:53:16 2023  A4: 10994966541
Mon Jan 30 16:53:16 2023  A5: 2700
Mon Jan 30 16:53:16 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:53:16 2023  
Mon Jan 30 16:53:16 2023  commencing relation filtering
Mon Jan 30 16:53:16 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:53:16 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:53:51 2023  found 1543092 hash collisions in 16735454 relations
Mon Jan 30 16:54:10 2023  added 370 free relations
Mon Jan 30 16:54:10 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:54:16 2023  found 1205306 duplicates and 15530518 unique relations
Mon Jan 30 16:54:16 2023  memory use: 65.3 MB
Mon Jan 30 16:54:16 2023  reading ideals above 720000
Mon Jan 30 16:54:16 2023  commencing singleton removal, initial pass
Mon Jan 30 16:55:09 2023  memory use: 376.5 MB
Mon Jan 30 16:55:09 2023  reading all ideals from disk
Mon Jan 30 16:55:09 2023  memory use: 459.5 MB
Mon Jan 30 16:55:10 2023  keeping 18508576 ideals with weight <= 200, target excess is 116170
Mon Jan 30 16:55:11 2023  commencing in-memory singleton removal
Mon Jan 30 16:55:11 2023  begin with 15530518 relations and 18508576 unique ideals
Mon Jan 30 16:55:19 2023  reduce to 3136649 relations and 3317237 ideals in 33 passes
Mon Jan 30 16:55:19 2023  max relations containing the same ideal: 60
Mon Jan 30 16:55:19 2023  filtering wants 1000000 more relations
Mon Jan 30 16:55:19 2023  elapsed time 00:02:03
-> makeJobFile(): Adjusted to q0=5700001, q1=5800000.
->               client 1 q0: 5700001
       LatSieveTime: 112
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Mon Jan 30 16:58:10 2023  
Mon Jan 30 16:58:10 2023  
Mon Jan 30 16:58:10 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 16:58:10 2023  random seeds: bf008c90 ef2df138
Mon Jan 30 16:58:10 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 16:58:11 2023  searching for 15-digit factors
Mon Jan 30 16:58:11 2023  commencing number field sieve (126-digit input)
Mon Jan 30 16:58:11 2023  R0: -2288225112085390734650189
Mon Jan 30 16:58:11 2023  R1: 18383900369549
Mon Jan 30 16:58:11 2023  A0: -71299217907320538377352476640
Mon Jan 30 16:58:11 2023  A1: 7935890940795657811831948
Mon Jan 30 16:58:11 2023  A2: -345768824987745878078
Mon Jan 30 16:58:11 2023  A3: -256046698279050
Mon Jan 30 16:58:11 2023  A4: 10994966541
Mon Jan 30 16:58:11 2023  A5: 2700
Mon Jan 30 16:58:11 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 16:58:11 2023  
Mon Jan 30 16:58:11 2023  commencing relation filtering
Mon Jan 30 16:58:11 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 16:58:11 2023  commencing duplicate removal, pass 1
Mon Jan 30 16:58:47 2023  found 1640522 hash collisions in 17353548 relations
Mon Jan 30 16:59:05 2023  added 343 free relations
Mon Jan 30 16:59:05 2023  commencing duplicate removal, pass 2
Mon Jan 30 16:59:11 2023  found 1281709 duplicates and 16072182 unique relations
Mon Jan 30 16:59:11 2023  memory use: 65.3 MB
Mon Jan 30 16:59:11 2023  reading ideals above 720000
Mon Jan 30 16:59:11 2023  commencing singleton removal, initial pass
Mon Jan 30 17:00:04 2023  memory use: 376.5 MB
Mon Jan 30 17:00:04 2023  reading all ideals from disk
Mon Jan 30 17:00:04 2023  memory use: 475.8 MB
Mon Jan 30 17:00:05 2023  keeping 18798725 ideals with weight <= 200, target excess is 116303
Mon Jan 30 17:00:06 2023  commencing in-memory singleton removal
Mon Jan 30 17:00:06 2023  begin with 16072182 relations and 18798725 unique ideals
Mon Jan 30 17:00:14 2023  reduce to 3846600 relations and 3914908 ideals in 28 passes
Mon Jan 30 17:00:14 2023  max relations containing the same ideal: 73
Mon Jan 30 17:00:14 2023  filtering wants 1000000 more relations
Mon Jan 30 17:00:14 2023  elapsed time 00:02:04
-> makeJobFile(): Adjusted to q0=5800001, q1=5900000.
->               client 1 q0: 5800001
       LatSieveTime: 121
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Mon Jan 30 17:03:07 2023  
Mon Jan 30 17:03:07 2023  
Mon Jan 30 17:03:07 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 17:03:07 2023  random seeds: 326a0c20 6a1aca6d
Mon Jan 30 17:03:07 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 17:03:07 2023  searching for 15-digit factors
Mon Jan 30 17:03:08 2023  commencing number field sieve (126-digit input)
Mon Jan 30 17:03:08 2023  R0: -2288225112085390734650189
Mon Jan 30 17:03:08 2023  R1: 18383900369549
Mon Jan 30 17:03:08 2023  A0: -71299217907320538377352476640
Mon Jan 30 17:03:08 2023  A1: 7935890940795657811831948
Mon Jan 30 17:03:08 2023  A2: -345768824987745878078
Mon Jan 30 17:03:08 2023  A3: -256046698279050
Mon Jan 30 17:03:08 2023  A4: 10994966541
Mon Jan 30 17:03:08 2023  A5: 2700
Mon Jan 30 17:03:08 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 17:03:08 2023  
Mon Jan 30 17:03:08 2023  commencing relation filtering
Mon Jan 30 17:03:08 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 17:03:08 2023  commencing duplicate removal, pass 1
Mon Jan 30 17:03:44 2023  found 1736356 hash collisions in 17950976 relations
Mon Jan 30 17:04:04 2023  added 279 free relations
Mon Jan 30 17:04:04 2023  commencing duplicate removal, pass 2
Mon Jan 30 17:04:10 2023  found 1356712 duplicates and 16594543 unique relations
Mon Jan 30 17:04:10 2023  memory use: 69.3 MB
Mon Jan 30 17:04:10 2023  reading ideals above 720000
Mon Jan 30 17:04:10 2023  commencing singleton removal, initial pass
Mon Jan 30 17:05:06 2023  memory use: 376.5 MB
Mon Jan 30 17:05:06 2023  reading all ideals from disk
Mon Jan 30 17:05:06 2023  memory use: 491.5 MB
Mon Jan 30 17:05:06 2023  keeping 19068690 ideals with weight <= 200, target excess is 116588
Mon Jan 30 17:05:07 2023  commencing in-memory singleton removal
Mon Jan 30 17:05:08 2023  begin with 16594543 relations and 19068690 unique ideals
Mon Jan 30 17:05:17 2023  reduce to 4505708 relations and 4448119 ideals in 28 passes
Mon Jan 30 17:05:17 2023  max relations containing the same ideal: 78
Mon Jan 30 17:05:17 2023  filtering wants 1000000 more relations
Mon Jan 30 17:05:17 2023  elapsed time 00:02:10
-> makeJobFile(): Adjusted to q0=5900001, q1=6000000.
->               client 1 q0: 5900001
       LatSieveTime: 105
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Mon Jan 30 17:07:59 2023  
Mon Jan 30 17:07:59 2023  
Mon Jan 30 17:07:59 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 17:07:59 2023  random seeds: 1c837c28 e8933e13
Mon Jan 30 17:07:59 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 17:08:00 2023  searching for 15-digit factors
Mon Jan 30 17:08:00 2023  commencing number field sieve (126-digit input)
Mon Jan 30 17:08:00 2023  R0: -2288225112085390734650189
Mon Jan 30 17:08:00 2023  R1: 18383900369549
Mon Jan 30 17:08:00 2023  A0: -71299217907320538377352476640
Mon Jan 30 17:08:00 2023  A1: 7935890940795657811831948
Mon Jan 30 17:08:00 2023  A2: -345768824987745878078
Mon Jan 30 17:08:00 2023  A3: -256046698279050
Mon Jan 30 17:08:00 2023  A4: 10994966541
Mon Jan 30 17:08:00 2023  A5: 2700
Mon Jan 30 17:08:00 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 17:08:00 2023  
Mon Jan 30 17:08:00 2023  commencing relation filtering
Mon Jan 30 17:08:00 2023  estimated available RAM is 65413.5 MB
Mon Jan 30 17:08:00 2023  commencing duplicate removal, pass 1
Mon Jan 30 17:08:39 2023  found 1833794 hash collisions in 18543341 relations
Mon Jan 30 17:08:59 2023  added 219 free relations
Mon Jan 30 17:08:59 2023  commencing duplicate removal, pass 2
Mon Jan 30 17:09:05 2023  found 1433145 duplicates and 17110415 unique relations
Mon Jan 30 17:09:05 2023  memory use: 69.3 MB
Mon Jan 30 17:09:05 2023  reading ideals above 720000
Mon Jan 30 17:09:05 2023  commencing singleton removal, initial pass
Mon Jan 30 17:10:04 2023  memory use: 376.5 MB
Mon Jan 30 17:10:04 2023  reading all ideals from disk
Mon Jan 30 17:10:04 2023  memory use: 507.0 MB
Mon Jan 30 17:10:05 2023  keeping 19325710 ideals with weight <= 200, target excess is 117079
Mon Jan 30 17:10:05 2023  commencing in-memory singleton removal
Mon Jan 30 17:10:06 2023  begin with 17110415 relations and 19325710 unique ideals
Mon Jan 30 17:10:15 2023  reduce to 5153275 relations and 4955147 ideals in 24 passes
Mon Jan 30 17:10:15 2023  max relations containing the same ideal: 85
Mon Jan 30 17:10:17 2023  removing 460497 relations and 429339 ideals in 31158 cliques
Mon Jan 30 17:10:17 2023  commencing in-memory singleton removal
Mon Jan 30 17:10:17 2023  begin with 4692778 relations and 4955147 unique ideals
Mon Jan 30 17:10:19 2023  reduce to 4654985 relations and 4487623 ideals in 9 passes
Mon Jan 30 17:10:19 2023  max relations containing the same ideal: 79
Mon Jan 30 17:10:20 2023  removing 331256 relations and 300098 ideals in 31158 cliques
Mon Jan 30 17:10:20 2023  commencing in-memory singleton removal
Mon Jan 30 17:10:20 2023  begin with 4323729 relations and 4487623 unique ideals
Mon Jan 30 17:10:22 2023  reduce to 4302322 relations and 4165950 ideals in 9 passes
Mon Jan 30 17:10:22 2023  max relations containing the same ideal: 74
Mon Jan 30 17:10:23 2023  relations with 0 large ideals: 505
Mon Jan 30 17:10:23 2023  relations with 1 large ideals: 2328
Mon Jan 30 17:10:23 2023  relations with 2 large ideals: 34869
Mon Jan 30 17:10:23 2023  relations with 3 large ideals: 216435
Mon Jan 30 17:10:23 2023  relations with 4 large ideals: 690174
Mon Jan 30 17:10:23 2023  relations with 5 large ideals: 1215624
Mon Jan 30 17:10:23 2023  relations with 6 large ideals: 1208020
Mon Jan 30 17:10:23 2023  relations with 7+ large ideals: 934367
Mon Jan 30 17:10:23 2023  commencing 2-way merge
Mon Jan 30 17:10:25 2023  reduce to 2313689 relation sets and 2177322 unique ideals
Mon Jan 30 17:10:25 2023  ignored 5 oversize relation sets
Mon Jan 30 17:10:25 2023  commencing full merge
Mon Jan 30 17:10:50 2023  memory use: 235.9 MB
Mon Jan 30 17:10:50 2023  found 1159074 cycles, need 1143522
Mon Jan 30 17:10:50 2023  weight of 1143522 cycles is about 80306238 (70.23/cycle)
Mon Jan 30 17:10:50 2023  distribution of cycle lengths:
Mon Jan 30 17:10:50 2023  1 relations: 148035
Mon Jan 30 17:10:50 2023  2 relations: 140657
Mon Jan 30 17:10:50 2023  3 relations: 139478
Mon Jan 30 17:10:50 2023  4 relations: 121315
Mon Jan 30 17:10:50 2023  5 relations: 102732
Mon Jan 30 17:10:50 2023  6 relations: 88411
Mon Jan 30 17:10:50 2023  7 relations: 74503
Mon Jan 30 17:10:50 2023  8 relations: 60861
Mon Jan 30 17:10:50 2023  9 relations: 50350
Mon Jan 30 17:10:50 2023  10+ relations: 217180
Mon Jan 30 17:10:50 2023  heaviest cycle: 23 relations
Mon Jan 30 17:10:50 2023  commencing cycle optimization
Mon Jan 30 17:10:52 2023  start with 6744686 relations
Mon Jan 30 17:10:59 2023  pruned 111680 relations
Mon Jan 30 17:10:59 2023  memory use: 238.1 MB
Mon Jan 30 17:10:59 2023  distribution of cycle lengths:
Mon Jan 30 17:10:59 2023  1 relations: 148035
Mon Jan 30 17:10:59 2023  2 relations: 143490
Mon Jan 30 17:10:59 2023  3 relations: 143270
Mon Jan 30 17:10:59 2023  4 relations: 122959
Mon Jan 30 17:10:59 2023  5 relations: 103891
Mon Jan 30 17:10:59 2023  6 relations: 88624
Mon Jan 30 17:10:59 2023  7 relations: 74472
Mon Jan 30 17:10:59 2023  8 relations: 60347
Mon Jan 30 17:10:59 2023  9 relations: 49506
Mon Jan 30 17:10:59 2023  10+ relations: 208928
Mon Jan 30 17:10:59 2023  heaviest cycle: 23 relations
Mon Jan 30 17:11:00 2023  RelProcTime: 180
Mon Jan 30 17:11:00 2023  elapsed time 00:03:01
Mon Jan 30 17:11:00 2023  
Mon Jan 30 17:11:00 2023  
Mon Jan 30 17:11:00 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 17:11:00 2023  random seeds: 0400a780 3ee9112b
Mon Jan 30 17:11:00 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 17:11:01 2023  searching for 15-digit factors
Mon Jan 30 17:11:01 2023  commencing number field sieve (126-digit input)
Mon Jan 30 17:11:01 2023  R0: -2288225112085390734650189
Mon Jan 30 17:11:01 2023  R1: 18383900369549
Mon Jan 30 17:11:01 2023  A0: -71299217907320538377352476640
Mon Jan 30 17:11:01 2023  A1: 7935890940795657811831948
Mon Jan 30 17:11:01 2023  A2: -345768824987745878078
Mon Jan 30 17:11:01 2023  A3: -256046698279050
Mon Jan 30 17:11:01 2023  A4: 10994966541
Mon Jan 30 17:11:01 2023  A5: 2700
Mon Jan 30 17:11:01 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 17:11:01 2023  
Mon Jan 30 17:11:01 2023  commencing linear algebra
Mon Jan 30 17:11:01 2023  read 1143522 cycles
Mon Jan 30 17:11:02 2023  cycles contain 4114532 unique relations
Mon Jan 30 17:11:11 2023  read 4114532 relations
Mon Jan 30 17:11:15 2023  using 20 quadratic characters above 268434722
Mon Jan 30 17:11:26 2023  building initial matrix
Mon Jan 30 17:11:49 2023  memory use: 513.3 MB
Mon Jan 30 17:11:49 2023  read 1143522 cycles
Mon Jan 30 17:11:50 2023  matrix is 1143332 x 1143522 (344.8 MB) with weight 108558072 (94.93/col)
Mon Jan 30 17:11:50 2023  sparse part has weight 77815281 (68.05/col)
Mon Jan 30 17:11:55 2023  filtering completed in 2 passes
Mon Jan 30 17:11:56 2023  matrix is 1138414 x 1138603 (344.3 MB) with weight 108341830 (95.15/col)
Mon Jan 30 17:11:56 2023  sparse part has weight 77741018 (68.28/col)
Mon Jan 30 17:11:57 2023  matrix starts at (0, 0)
Mon Jan 30 17:11:57 2023  matrix is 1138414 x 1138603 (344.3 MB) with weight 108341830 (95.15/col)
Mon Jan 30 17:11:57 2023  sparse part has weight 77741018 (68.28/col)
Mon Jan 30 17:11:57 2023  saving the first 48 matrix rows for later
Mon Jan 30 17:11:58 2023  matrix includes 64 packed rows
Mon Jan 30 17:11:58 2023  matrix is 1138366 x 1138603 (332.0 MB) with weight 86044563 (75.57/col)
Mon Jan 30 17:11:58 2023  sparse part has weight 75639054 (66.43/col)
Mon Jan 30 17:11:58 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Mon Jan 30 17:12:01 2023  commencing Lanczos iteration (32 threads)
Mon Jan 30 17:12:01 2023  memory use: 261.1 MB
Mon Jan 30 17:12:02 2023  linear algebra at 0.1%, ETA 0h12m
Mon Jan 30 17:12:03 2023  checkpointing every 3660000 dimensions
Mon Jan 30 17:24:41 2023  lanczos halted after 18003 iterations (dim = 1138364)
Mon Jan 30 17:24:42 2023  recovered 29 nontrivial dependencies
Mon Jan 30 17:24:42 2023  BLanczosTime: 821
Mon Jan 30 17:24:42 2023  elapsed time 00:13:42
Mon Jan 30 17:24:42 2023  
Mon Jan 30 17:24:42 2023  
Mon Jan 30 17:24:42 2023  Msieve v. 1.52 (SVN 927)
Mon Jan 30 17:24:42 2023  random seeds: 3bb55fc0 ccb51ef4
Mon Jan 30 17:24:42 2023  factoring 169383736865126804735554002404056399522365281505631832658241559101853512726115114138045134427483240681199267190310843094571369 (126 digits)
Mon Jan 30 17:24:42 2023  searching for 15-digit factors
Mon Jan 30 17:24:42 2023  commencing number field sieve (126-digit input)
Mon Jan 30 17:24:42 2023  R0: -2288225112085390734650189
Mon Jan 30 17:24:42 2023  R1: 18383900369549
Mon Jan 30 17:24:42 2023  A0: -71299217907320538377352476640
Mon Jan 30 17:24:42 2023  A1: 7935890940795657811831948
Mon Jan 30 17:24:42 2023  A2: -345768824987745878078
Mon Jan 30 17:24:42 2023  A3: -256046698279050
Mon Jan 30 17:24:42 2023  A4: 10994966541
Mon Jan 30 17:24:42 2023  A5: 2700
Mon Jan 30 17:24:42 2023  skew 192989.44, size 3.985e-012, alpha -5.933, combined = 1.320e-010 rroots = 3
Mon Jan 30 17:24:42 2023  
Mon Jan 30 17:24:42 2023  commencing square root phase
Mon Jan 30 17:24:42 2023  reading relations for dependency 1
Mon Jan 30 17:24:42 2023  read 569144 cycles
Mon Jan 30 17:24:43 2023  cycles contain 2054448 unique relations
Mon Jan 30 17:24:48 2023  read 2054448 relations
Mon Jan 30 17:24:54 2023  multiplying 2054448 relations
Mon Jan 30 17:25:51 2023  multiply complete, coefficients have about 93.02 million bits
Mon Jan 30 17:25:51 2023  initial square root is modulo 4754549
Mon Jan 30 17:27:10 2023  sqrtTime: 148
Mon Jan 30 17:27:10 2023  prp41 factor: 53904959825124698195913538911972782205187
Mon Jan 30 17:27:10 2023  prp85 factor: 3142266266678086144015028470702572132145050748044272958392463923657985344575947172387
Mon Jan 30 17:27:10 2023  elapsed time 00:02:28
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:21:49 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 49 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:21:49 UTC 2023 年 1 月 23 日 (月) 1 時 21 分 49 秒 (日本時間)

26×10208-53

c203

composite cofactor 合成数の残り
63845435112779277736237318393501516942982343053800829253978368675465058743939287902395063274509587251539964172888527098089916472981716877417992380292878655611584017523116344799727920222673232924108650197<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:00 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:32:18 UTC 2023 年 2 月 11 日 (土) 17 時 32 分 18 秒 (日本時間)

26×10211-53

c195

composite cofactor 合成数の残り
653527930458592521128614094944086307956782464154163586142702858934052892539861174131165350820509679510810622164633367444919455753019710785666245076577658431036184355680998019424942073365675759967<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:22:05 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 5 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:22:05 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 5 秒 (日本時間)

26×10213-53

c157

composite cofactor 合成数の残り
5878872444286826729068335415217625737956500526403612984546332994259458563286031309566566668469280830531265847510698308767152349426615734000704929619818172079<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:22:18 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 18 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:22:18 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 18 秒 (日本時間)

26×10214-53

c127

name 名前Ignacio Santos
date 日付December 24, 2022 10:11:46 UTC 2022 年 12 月 24 日 (土) 19 時 11 分 46 秒 (日本時間)
composite number 合成数
3838596049062663512561650942787726145082327707079323870220458176153287835462364744518203149122239319332144037562743930853141383<127>
prime factors 素因数
27909347841680378256474065167410357139<38>
137538005933984147081789462292731251107412990854689530208211514512147325486823451126315197<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1336388019
Step 1 took 4437ms
Step 2 took 2313ms
********** Factor found in step 2: 27909347841680378256474065167410357139
Found prime factor of 38 digits: 27909347841680378256474065167410357139
Prime cofactor 137538005933984147081789462292731251107412990854689530208211514512147325486823451126315197 has 90 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10216-53

c213

composite cofactor 合成数の残り
128233582402406845700475943873147394638849843407067643214717269611107001060393085250671993292397228181795763359719858943059357352469729476461739537865897265172252225592463811003427782298833567606224260807378363049<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:04 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:32:40 UTC 2023 年 2 月 11 日 (土) 17 時 32 分 40 秒 (日本時間)

26×10217-53

c180

composite cofactor 合成数の残り
237348653925171362229672068042119281336363952089781680539937355314991905811440760019900261177643920153226314026414543065618005405574432497965224902386474599276443432280588186279911<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:22:27 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 27 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:22:27 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 27 秒 (日本時間)

26×10218-53

c179

composite cofactor 合成数の残り
49043413166719920539930310378749447337459759288719307093518204513503298376588208886201639493664867458167240628190213614156708261265791178530962896811085311092153206569733282877811<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:22:38 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 38 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:22:38 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 38 秒 (日本時間)

26×10219-53

c180

composite cofactor 合成数の残り
107348461391113202202784580036907305030499339422800222704507925551238223705816797848258185277576702236451171718734841581234171678376414544606972998316116664829773913021497533868351<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:22:54 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 54 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:22:54 UTC 2023 年 1 月 23 日 (月) 1 時 22 分 54 秒 (日本時間)

26×10220-53

c176

composite cofactor 合成数の残り
37442510693474552954602078043170604688675813959724657636246093257207455117142702676971147595877714138874112008386044310624467168889516892719954520866797094314390893302775907499<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:23:29 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 29 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:23:29 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 29 秒 (日本時間)

26×10221-53

c186

composite cofactor 合成数の残り
141467898036289473727268267549061639549142141060269085286240206884959086824888702811901593801574502770826086026363777202028142856922220853231065974030402942673514441903530292587321143169<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:23:38 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 38 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:23:38 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 38 秒 (日本時間)

26×10222-53

c177

composite cofactor 合成数の残り
127593442577090535482521229709827163014183887584433722650122332014085971344804322924551434252843356110703856290004370035985686430437926189917683468390125977433799307775869397899<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:23:50 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 50 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:23:50 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 50 秒 (日本時間)

26×10224-53

c223

composite cofactor 合成数の残り
9122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:09 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 9 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:40:24 UTC 2023 年 2 月 16 日 (木) 7 時 40 分 24 秒 (日本時間)

26×10225-53

c215

composite cofactor 合成数の残り
45166268552679187797895737087559405354999068915744297670258254493331763797510172526083346307611064082352121552880983641588377655790152721105750106047790643972859502125283336385533829026691031390312424886478657859977<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:14 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:32:49 UTC 2023 年 2 月 11 日 (土) 17 時 32 分 49 秒 (日本時間)

26×10227-53

c211

name 名前Dmitry Domanov
date 日付January 5, 2023 19:50:18 UTC 2023 年 1 月 6 日 (金) 4 時 50 分 18 秒 (日本時間)
composite number 合成数
4585896731594033546109759616896676002846068688981096128623715340100709043199337154355894173718785605214383597699820898977251459138254599585685686785540043417234056597659666056975519619115601984344237547109052911<211>
prime factors 素因数
271828492537044348234908257769063<33>
composite cofactor 合成数の残り
16870552048435742773036793104657631653284372504903165887667490610907388924764683235758378704137282657619530672560914099130238063935834056973540700098392962250077832169861918032697<179>
factorization results 素因数分解の結果
GPU: factor 271828492537044348234908257769063 found in Step 1 with curve 908 (-sigma 3:58341371)
Computing 1792 Step 1 took 183ms of CPU time / 175127ms of GPU time
Throughput: 10.233 curves per second (on average 97.73ms per Step 1)
********** Factor found in step 1: 271828492537044348234908257769063
Found prime factor of 33 digits: 271828492537044348234908257769063
Composite cofactor 16870552048435742773036793104657631653284372504903165887667490610907388924764683235758378704137282657619530672560914099130238063935834056973540700098392962250077832169861918032697 has 179 digits
Peak memory usage: 9428MB

c179

name 名前Dmitry Domanov
date 日付January 24, 2023 05:05:57 UTC 2023 年 1 月 24 日 (火) 14 時 5 分 57 秒 (日本時間)
composite number 合成数
16870552048435742773036793104657631653284372504903165887667490610907388924764683235758378704137282657619530672560914099130238063935834056973540700098392962250077832169861918032697<179>
prime factors 素因数
113180326940524644015288653885709720937<39>
401209888512950912834612500428269142797<39>
371523869639598532901544292786471795173314627465891678373023633239046515521842000709610565059314405973<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3289966775
Step 1 took 41396ms
Step 2 took 14140ms
********** Factor found in step 2: 113180326940524644015288653885709720937
Found probable prime factor of 39 digits: 113180326940524644015288653885709720937
Composite cofactor 149059050318003435821872545310300347770325603946993426940020140220613814556934923354543950467245957298623396167532024448787842606569966726481 has 141 digits
--
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2294650304
Step 1 took 30100ms
Step 2 took 11236ms
********** Factor found in step 2: 401209888512950912834612500428269142797
Found probable prime factor of 39 digits: 401209888512950912834612500428269142797
Probable prime cofactor 371523869639598532901544292786471795173314627465891678373023633239046515521842000709610565059314405973 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 5, 2023 19:50:11 UTC 2023 年 1 月 6 日 (金) 4 時 50 分 11 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:23:59 UTC 2023 年 1 月 23 日 (月) 1 時 23 分 59 秒 (日本時間)

26×10228-53

c204

composite cofactor 合成数の残り
207421045814354273618570625710347409863021026312433729969881596971282903116208519367517202821285626594653278747493326324744398880590701198675100392094470008094570105515249521319781593375745696197654985007<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:18 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:32:57 UTC 2023 年 2 月 11 日 (土) 17 時 32 分 57 秒 (日本時間)

26×10229-53

c191

composite cofactor 合成数の残り
80666695732473520262374011578600563245863514878986405605265250354297026288364336216883190687412285177921832034200329199915093268699876616284890535581054069484007713697713874131715759260579349<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:04 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 4 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:04 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 4 秒 (日本時間)

26×10230-53

c198

name 名前Dmitry Domanov
date 日付January 24, 2023 14:24:04 UTC 2023 年 1 月 24 日 (火) 23 時 24 分 4 秒 (日本時間)
composite number 合成数
331833794378351362418034958312679464882000705319451164680561794902249070374445504790460618175700389673443737075604599923788866724519369461267805300383989451499886282828953667274002862555134568609219<198>
prime factors 素因数
4839128696840990549946344555123589103939<40>
68573045927663437122986022233600123006513366541359046528381334591949365692383552937477553281264837198109273144836335686363854221208194697308049795098060763521<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4002304425
Step 1 took 48160ms
Step 2 took 15916ms
********** Factor found in step 2: 4839128696840990549946344555123589103939
Found probable prime factor of 40 digits: 4839128696840990549946344555123589103939
Probable prime cofactor 68573045927663437122986022233600123006513366541359046528381334591949365692383552937477553281264837198109273144836335686363854221208194697308049795098060763521 has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:09 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 9 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:09 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 9 秒 (日本時間)

26×10231-53

c208

composite cofactor 合成数の残り
8162171841943446283322533577700194195716673398971325687671427610527721053396161348203363350653142720752214703742048133165302547358354731187251931643233740188859278005389734819234543158258719550594703023201971<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:23 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 23 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:33:05 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 5 秒 (日本時間)

26×10232-53

c231

composite cofactor 合成数の残り
219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827004219409282700421940928270042194092827<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:28 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:40:34 UTC 2023 年 2 月 16 日 (木) 7 時 40 分 34 秒 (日本時間)

26×10233-53

c218

composite cofactor 合成数の残り
14689531754069102095241599053509310369652637805626825243299104604366230663086268767422447000002689394497022806751326446568931255566177120484583438312444311742928101114974895951946998268407785886525929362304934798828783<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:35 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:33:11 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 11 秒 (日本時間)

26×10234-53

c234

composite cofactor 合成数の残り
247619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:40 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 40 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:40:42 UTC 2023 年 2 月 16 日 (木) 7 時 40 分 42 秒 (日本時間)

26×10236-53

c198

composite cofactor 合成数の残り
198150407587096917846313899823167584372323859330986643002615104708956567007842441779505279837670664970895032968528310030113100133449725463372112539599258750158211661816241877307744403141028637013617<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:15 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 15 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:15 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 15 秒 (日本時間)

26×10238-53

c199

name 名前Dmitry Domanov
date 日付January 6, 2023 18:20:24 UTC 2023 年 1 月 7 日 (土) 3 時 20 分 24 秒 (日本時間)
composite number 合成数
1850200719094234153836423697602303251920737579057103324470274578759617195368180144754535526391722339899053188204759147573090131329378063504398489603775625933092585267165571875656817679121691909069053<199>
prime factors 素因数
90802797101976013531811217697708969637<38>
20376032216456587970593299718464744899594382865855877587349951831602720089541890675478779907250906359690451433117571147149542586442424237744100593476733225429369<161>
factorization results 素因数分解の結果
Resuming ECM residue saved by @be7392416c64 with GMP-ECM 7.0.5-dev on Thu Jan  5 18:02:05 2023 
Input number is 1850200719094234153836423697602303251920737579057103324470274578759617195368180144754535526391722339899053188204759147573090131329378063504398489603775625933092585267165571875656817679121691909069053 (199 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:519426882
Step 1 took 0ms
Step 2 took 2818ms
********** Factor found in step 2: 90802797101976013531811217697708969637
Found prime factor of 38 digits: 90802797101976013531811217697708969637
Prime cofactor 20376032216456587970593299718464744899594382865855877587349951831602720089541890675478779907250906359690451433117571147149542586442424237744100593476733225429369 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10239-53

c231

composite cofactor 合成数の残り
319798455928308187307070011829609333511291334104946737779339115839223862529797382567840656084834648555835590558472352197488417193587358803931044537875244335783407088727972742834684817290510644832621427223104688636440520776508953009<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:46 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 46 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:40:50 UTC 2023 年 2 月 16 日 (木) 7 時 40 分 50 秒 (日本時間)

26×10240-53

c194

composite cofactor 合成数の残り
11135912544011848168640733387783552937452433307289307905495182129634061834470009921888696585458373788316880795350399004854623259609517034202586313145179503123117357600061695261790566732536932027<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:23 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 23 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:23 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 23 秒 (日本時間)

26×10244-53

c202

composite cofactor 合成数の残り
6707799411424962031868725718811902863313840699442718557915217731291248098283865132547051795460534458750285674786731835137259298295056996692933786050973682400442547041577368750369539238947944462677698753<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:51 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:33:19 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 19 秒 (日本時間)

26×10245-53

c241

composite cofactor 合成数の残り
3662926255432753604812521572522417813092143727590992019047216528250318745025112177116572628079147383473158499045525946901657474130583321006177666011566394060424195036734923888618865479033269232123863260145249114205814191021604220818100490973<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:32:56 UTC 2023 年 1 月 29 日 (日) 19 時 32 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:56:29 UTC 2023 年 3 月 5 日 (日) 16 時 56 分 29 秒 (日本時間)

26×10246-53

c237

composite cofactor 合成数の残り
215934296376367990863021960039107174410074749594584780812917345347693012046216922241377647070815846048505923036452169592008994439810922852314821244454583600573358992312444921574139176338094610195677476363579960692132102290431372245763827<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:03 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 3 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:40:57 UTC 2023 年 2 月 16 日 (木) 7 時 40 分 57 秒 (日本時間)

26×10247-53

c198

composite cofactor 合成数の残り
107328508885523040756097521619162855937632733012022106150082833357229923832337887474347072211641832492638873766662769206486567450815450139087815719748286524136686232362990672816370984730127741731437<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:29 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 29 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:29 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 29 秒 (日本時間)

26×10248-53

c208

name 名前Dmitry Domanov
date 日付February 14, 2023 05:02:16 UTC 2023 年 2 月 14 日 (火) 14 時 2 分 16 秒 (日本時間)
composite number 合成数
7908234055449413885047584490802308624505256249329845905998763560861071874437291383799787151500668523165071394308936213308614629570379363290177771892035973823764569727573883559313763568045965417648657888964091<208>
prime factors 素因数
2295217853262781598982245968109218140240301<43>
composite cofactor 合成数の残り
3445526551742098578232439175384423317355025835335756646946199989045157875750136983252853737738077811078644369764611651443728231192835610988956134969685099610393086791<166>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fa4e76587125 with GMP-ECM 7.0.5-dev on Sat Feb 11 10:42:19 2023 
Input number is 7908234055449413885047584490802308624505256249329845905998763560861071874437291383799787151500668523165071394308936213308614629570379363290177771892035973823764569727573883559313763568045965417648657888964091 (208 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1527697386
Step 1 took 0ms
Step 2 took 7038ms
********** Factor found in step 2: 2295217853262781598982245968109218140240301
Found prime factor of 43 digits: 2295217853262781598982245968109218140240301
Composite cofactor 3445526551742098578232439175384423317355025835335756646946199989045157875750136983252853737738077811078644369764611651443728231192835610988956134969685099610393086791 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:08 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 8 秒 (日本時間)
4511e662721792Dmitry DomanovFebruary 11, 2023 08:33:26 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 26 秒 (日本時間)
4480Ignacio SantosFebruary 16, 2023 09:44:10 UTC 2023 年 2 月 16 日 (木) 18 時 44 分 10 秒 (日本時間)

26×10249-53

c250

composite cofactor 合成数の残り
1733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:13 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 13 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:56:42 UTC 2023 年 3 月 5 日 (日) 16 時 56 分 42 秒 (日本時間)

26×10250-53

c179

composite cofactor 合成数の残り
14771932074667374741221575638573659639026882491588753901455964047393112030144956512750793541015498302253573673441736477940501142733754036414053931527629892646993810662035168001847<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:38 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 38 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:38 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 38 秒 (日本時間)

26×10251-53

c199

composite cofactor 合成数の残り
1429070451096758267720134101862980572465454724615342346450523220688041060673396165900825686549605980548964045728878872084973734517380330949889544910116721310161686586172823561577950572260967608081067<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 22, 2023 16:26:45 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 45 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 22, 2023 16:26:45 UTC 2023 年 1 月 23 日 (月) 1 時 26 分 45 秒 (日本時間)

26×10252-53

c242

name 名前Dmitry Domanov
date 日付March 5, 2023 17:03:25 UTC 2023 年 3 月 6 日 (月) 2 時 3 分 25 秒 (日本時間)
composite number 合成数
89572274692822145564685948222960794903299246825201342232936408940914146314484228691363490802418362623021277438016528901418806901176470524480910365697178745135295676598493039416418436180221116557026577349342917337696049088338899455165427143679<242>
prime factors 素因数
160574111766224194016807490757557921521207<42>
557825129515448697077887101286471646649223018097262755810015366788963312916226204757381488091428706271237613158843490558225005518075483478758598231794995724599577050070320575699238942318982385837003897<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4a83f3bd0ffe with GMP-ECM 7.0.5-dev on Sun Mar  5 08:48:41 2023 
Input number is 89572274692822145564685948222960794903299246825201342232936408940914146314484228691363490802418362623021277438016528901418806901176470524480910365697178745135295676598493039416418436180221116557026577349342917337696049088338899455165427143679 (242 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1201221225
Step 1 took 0ms
Step 2 took 21109ms
********** Factor found in step 2: 160574111766224194016807490757557921521207
Found prime factor of 42 digits: 160574111766224194016807490757557921521207
Prime cofactor 557825129515448697077887101286471646649223018097262755810015366788963312916226204757381488091428706271237613158843490558225005518075483478758598231794995724599577050070320575699238942318982385837003897 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:19 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 19 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:56:51 UTC 2023 年 3 月 5 日 (日) 16 時 56 分 51 秒 (日本時間)

26×10254-53

c211

composite cofactor 合成数の残り
3358201273689692646995250503597614079286277154862478405547410875796678181970088725924328839925015426528364322771016223124112327072762630278627158960477425872019403933332815516523615072513197733168534632264202213<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:24 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 24 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:33:33 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 33 秒 (日本時間)

26×10255-53

c214

name 名前Dmitry Domanov
date 日付January 6, 2023 18:19:23 UTC 2023 年 1 月 7 日 (土) 3 時 19 分 23 秒 (日本時間)
composite number 合成数
7124096614506737665910662641615308136806325762171571819172667424298661156546830310076319404093089092136638186839310936715955132053124039033418963982488537872235454088906489150826518751743139911485444035754572386541<214>
prime factors 素因数
265114084353368394275104436277147857<36>
26871814946697013527725625712407309943446360328890041881594998195243671205360839005920507764602645226141761685879801372938647266517751821856981016702233657935124883910518435749213<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @be7392416c64 with GMP-ECM 7.0.5-dev on Thu Jan  5 17:05:54 2023 
Input number is 7124096614506737665910662641615308136806325762171571819172667424298661156546830310076319404093089092136638186839310936715955132053124039033418963982488537872235454088906489150826518751743139911485444035754572386541 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3588804480
Step 1 took 0ms
Step 2 took 3120ms
********** Factor found in step 2: 265114084353368394275104436277147857
Found prime factor of 36 digits: 265114084353368394275104436277147857
Prime cofactor 26871814946697013527725625712407309943446360328890041881594998195243671205360839005920507764602645226141761685879801372938647266517751821856981016702233657935124883910518435749213 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10256-53

c221

composite cofactor 合成数の残り
35899976246539585144155689223904596969516391528075631371044215450953494331699414260990115174644870336176577367421878710043983041713912550566335668051379977292909982602848840963601625762498335536293383648829686144300296387<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:29 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:05 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 5 秒 (日本時間)

26×10258-53

c176

composite cofactor 合成数の残り
18566474634157177764086768101636818454620434826338972063481722503776715754659071325643568565965678599778938576524199204963823646505916482039360119574134348992230162825407655839<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 26, 2022 14:22:54 UTC 2022 年 12 月 26 日 (月) 23 時 22 分 54 秒 (日本時間)
4511e64480Ignacio SantosJanuary 3, 2023 08:25:19 UTC 2023 年 1 月 3 日 (火) 17 時 25 分 19 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 12, 2024 08:19:36 UTC 2024 年 5 月 12 日 (日) 17 時 19 分 36 秒 (日本時間)

26×10259-53

c236

composite cofactor 合成数の残り
81643527156065985340519208623387639194980078074282391764490836528196638677245528293380245170327001149236661397279449479989979250604813050038739003334193408750862009433404912294652630137106775599007935902850736695628153405948458692746743<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:33:59 UTC 2023 年 1 月 29 日 (日) 19 時 33 分 59 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:12 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 12 秒 (日本時間)

26×10261-53

c249

composite cofactor 合成数の残り
170746336521335655050544991711024987877641079549386870817855568574359372878143362386531023735132350866510617065329363036688761053452840376965822275992521011805452765460664667034842600052145735649359091755264985857930176976794505655618849428722903719<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:04 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:56:59 UTC 2023 年 3 月 5 日 (日) 16 時 56 分 59 秒 (日本時間)

26×10263-53

c201

composite cofactor 合成数の残り
490844187143483463323414958820143619738791928209447918647703691262626775519637937111838551412998160543101729572696353906998771659740044252199810419580502261924123542436536598342145941841030039992763507<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:09 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 9 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:33:40 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 40 秒 (日本時間)

26×10265-53

c255

composite cofactor 合成数の残り
939984650847107892042037832817809064292454476770808645127937155100428576419133288573147844621329911259775971898873686043944875593570234279856989211721921516953702415981472569632624080364410283427300806943339414381277280619682037978919623345458434136864749<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:14 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:06:37 UTC 2023 年 2 月 24 日 (金) 22 時 6 分 37 秒 (日本時間)

26×10266-53

c215

composite cofactor 合成数の残り
33521044521437886740473350436586254426771625845607567506292857508098434054884332451362035868912046094233283782664040920619507598737183987089207001597556789104988302451667908615243699212367156221275067914815759470403<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:18 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 11, 2023 08:33:48 UTC 2023 年 2 月 11 日 (土) 17 時 33 分 48 秒 (日本時間)

26×10267-53

c264

composite cofactor 合成数の残り
215080448360011581254911692931298341398850146833767630392521818257021135790213839599619473052901517971625925466352318319063572817140257269305538321545270298217313976092980932291020391280969516482607436820118294246598006369690201431112214087769367580758572196715887<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:23 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 23 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:06:55 UTC 2023 年 2 月 24 日 (金) 22 時 6 分 55 秒 (日本時間)

26×10268-53

c228

composite cofactor 合成数の残り
233173550552695254509065088384312640570323524450863236756956864151351489493563702974907988684638019108735420716968330939373725415994095144741013250576438691438271601476379760136697203060144963434619222780388552495121203837495231<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:28 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:22 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 22 秒 (日本時間)

26×10270-53

c221

composite cofactor 合成数の残り
95190724017030351354581861758980387127517344191336230186882645492270888190407564143697180963612901247239038210441362846750711840911334277309670166398875064094354774866727158959035747374665875263932775009751202029100861321<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:34 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 34 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:30 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 30 秒 (日本時間)

26×10273-53

c243

composite cofactor 合成数の残り
728742072353471089397547273636565462477879301611988684209453350293996858208244457377422989410882878933831915614353948380428350592796063664671166992167938641895685056718799394136288910470293533411425663926654340986182049391131064126988378853777<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:38 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:57:08 UTC 2023 年 3 月 5 日 (日) 16 時 57 分 8 秒 (日本時間)

26×10275-53

c273

composite cofactor 合成数の残り
238422741861531407611187528656579550664832645575424117377349839523154516276937184777624942686840898670334708849151765245300320953690967446125630444750114626318202659330582301696469509399358092618065107748739110499770747363594681338835396607060981201283814763869784502521779<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:43 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:07:02 UTC 2023 年 2 月 24 日 (金) 22 時 7 分 2 秒 (日本時間)

26×10276-53

c274

name 名前Dmitry Domanov
date 日付February 26, 2023 22:11:52 UTC 2023 年 2 月 27 日 (月) 7 時 11 分 52 秒 (日本時間)
composite number 合成数
4196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841000807102502017756255044390637610976594027441485068603712671509281678773204196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841<274>
prime factors 素因数
1604219487152931285434880566385695258960886697<46>
composite cofactor 合成数の残り
2616183785387613968684829847041821731556314650833876559538179621580477915157204043198815974597668922980882245676178486069119346824774546084697874522285809967669082055966330157897472915844822091321683480833877069188007233817120753<229>
factorization results 素因数分解の結果
Resuming ECM residue saved by @327f0b142041 with GMP-ECM 7.0.5-dev on Sat Feb 25 08:12:59 2023 
Input number is 4196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841000807102502017756255044390637610976594027441485068603712671509281678773204196933010492332526230831315577078288942695722356739305891848264729620661824051654560129136400322841 (274 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:218590580
Step 1 took 0ms
Step 2 took 24861ms
********** Factor found in step 2: 1604219487152931285434880566385695258960886697
Found prime factor of 46 digits: 1604219487152931285434880566385695258960886697
Composite cofactor 2616183785387613968684829847041821731556314650833876559538179621580477915157204043198815974597668922980882245676178486069119346824774546084697874522285809967669082055966330157897472915844822091321683480833877069188007233817120753 has 229 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:48 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 48 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:07:08 UTC 2023 年 2 月 24 日 (金) 22 時 7 分 8 秒 (日本時間)

26×10277-53

c229

composite cofactor 合成数の残り
7638097477043468345001646896590551168606411338232317104725912162322230836477289889659060625264447766724227687910527511388975725713488096032419946490263787296845254639542043868277849596575524528302363926973743449203771547087416001<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:53 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 53 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:40 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 40 秒 (日本時間)

26×10278-53

c269

composite cofactor 合成数の残り
18156492203161795902907946071294817975012183681026421230631054738921642337808074265846987259098811672239687248279319560411297150552833729717718149435818640728594643750169863804778717330008430167919717929209230270983425802691344122821352967362324358835627930164959040003<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:34:58 UTC 2023 年 1 月 29 日 (日) 19 時 34 分 58 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:07:15 UTC 2023 年 2 月 24 日 (金) 22 時 7 分 15 秒 (日本時間)

26×10280-53

c268

composite cofactor 合成数の残り
5408898164309195800436547097690182706111706446036067762265487769156318579855829926217403110160913255566000307705164820585703363371802940018709376726169387553384049555233293498691249117342461469255578853388783125760554868738874969764588879245642115998973038588497768561<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:24 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 24 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:09:15 UTC 2023 年 2 月 24 日 (金) 22 時 9 分 15 秒 (日本時間)

26×10281-53

c249

name 名前Dmitry Domanov
date 日付March 5, 2023 09:55:34 UTC 2023 年 3 月 5 日 (日) 18 時 55 分 34 秒 (日本時間)
composite number 合成数
637232333215250631841598562402724756522726354298710283589134675469780950530503813476568631496931220415569356931939896134980274500252739739190693775039529112197459199350452715504289762037748410721360982836795042640914374779199482618977725620991734459<249>
prime factors 素因数
8255690835089726111821203280589644637<37>
77187039333737954701302955794905942455413724894647441957620583578703983828738705935441368707813438156760837223490323390350346425873968504783138280200524744103565428968277649389503595222747386167399517460537206007<212>
factorization results 素因数分解の結果
GPU: factor 8255690835089726111821203280589644637 found in Step 1 with curve 1520 (-sigma 3:-98204827)
Computing 1792 Step 1 took 1028ms of CPU time / 982211ms of GPU time
Throughput: 1.824 curves per second (on average 548.11ms per Step 1)
********** Factor found in step 1: 8255690835089726111821203280589644637
Found prime factor of 37 digits: 8255690835089726111821203280589644637
Prime cofactor 77187039333737954701302955794905942455413724894647441957620583578703983828738705935441368707813438156760837223490323390350346425873968504783138280200524744103565428968277649389503595222747386167399517460537206007 has 212 digits
Peak memory usage: 9430MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:29 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:57:17 UTC 2023 年 3 月 5 日 (日) 16 時 57 分 17 秒 (日本時間)

26×10282-53

c233

composite cofactor 合成数の残り
11993343189872809759572108698118244043850091637918328335653188346951900934993613280655876718817453387047017406228938378178141991362826279126865492044590989017291819927212634919904687279811877669184199210473483101073519617749931108729<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:35 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:49 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 49 秒 (日本時間)

26×10283-53

c263

composite cofactor 合成数の残り
58218244089900335662313852340498342822289405530871908179849468052895668893789059836809477852330992537778755473551069671092513244752070697989560875779232269952468412580546542715377411090064551837758413629313062196238205963737599490475395212674354209091154072522921<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:40 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 40 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:09:24 UTC 2023 年 2 月 24 日 (金) 22 時 9 分 24 秒 (日本時間)

26×10284-53

c276

composite cofactor 合成数の残り
130782512280859561754224780231249240837382408328228772414216512699043183897887271918470686865813418367800892164144423932121194078712804591160133188719363155582588066106166671581196822866928717548261509183447033172187724239271142358970063581384618506409429979890621861718785159<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:44 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:09:31 UTC 2023 年 2 月 24 日 (金) 22 時 9 分 31 秒 (日本時間)

26×10285-53

c264

composite cofactor 合成数の残り
862418138369051116178262147672835043618168654066815608936748709952963988241182721936101155129475457474960850276604721782453923340873749404940391124721141989997847904272770419211263225044788567756079722997866973788523711922084341829500728410188855861198541159364139<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:48 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 48 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:09:37 UTC 2023 年 2 月 24 日 (金) 22 時 9 分 37 秒 (日本時間)

26×10286-53

c276

composite cofactor 合成数の残り
218714009697913892599244024587487423077104625242885763129709134468418254343905504589801187313515279574054085550935819792799139431265461329222588177432053683663614928861474617481471415784201452863067512943209535443632325197236487107903659436296677147646719291700351352301963489<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:35:53 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 53 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:09:45 UTC 2023 年 2 月 24 日 (金) 22 時 9 分 45 秒 (日本時間)

26×10287-53

c252

composite cofactor 合成数の残り
258253098706294915892603387659556101228098539352100771956148025916349190152177244631671238236912885507816959113713860466696819040877433421996911335673889671775198578922959354988872646961050338264043184822781606017447333940073190716333572314044045626771<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJanuary 29, 2023 10:35:58 UTC 2023 年 1 月 29 日 (日) 19 時 35 分 58 秒 (日本時間)
2350Ignacio SantosNovember 3, 2023 07:31:10 UTC 2023 年 11 月 3 日 (金) 16 時 31 分 10 秒 (日本時間)

26×10288-53

c228

composite cofactor 合成数の残り
557524696226454321277594471826918069410416154693907504993072416036985025138182086847958085253859760679099716119258899188834564030578749467608356208158721604130897536803806922337550459574961326555480630341801478279726357726040079<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:02 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 15, 2023 22:41:57 UTC 2023 年 2 月 16 日 (木) 7 時 41 分 57 秒 (日本時間)

26×10289-53

c261

composite cofactor 合成数の残り
325522112029389369638924715788583921735562589340723889031488520477012742916114443322562015504152429924118784819354729822092453236199800415682786610306531103597846093258168704212579699379863733578016700850617331922130383233167317707927238677165226482156596035549<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:08 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:09:53 UTC 2023 年 2 月 24 日 (金) 22 時 9 分 53 秒 (日本時間)

26×10291-53

c259

composite cofactor 合成数の残り
1407094248463274051241151888607585318125053522696681643266637196126015772242082267122595360921502308760119459768382194499985386935642305125873196858998669025741331144037334358396396418801551684393723422092764351727152017500762762412097407244025275538902314933<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:13 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 13 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:10:00 UTC 2023 年 2 月 24 日 (金) 22 時 10 分 0 秒 (日本時間)

26×10293-53

c294

composite cofactor 合成数の残り
173333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:18 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 11:24:10 UTC 2023 年 2 月 24 日 (金) 20 時 24 分 10 秒 (日本時間)

26×10294-53

c248

name 名前Dmitry Domanov
date 日付January 6, 2023 18:19:41 UTC 2023 年 1 月 7 日 (土) 3 時 19 分 41 秒 (日本時間)
composite number 合成数
22713410947582975873597947423188764554533193411735568243167288204873300729593027697055698252850628574583112001189578568168629259287192247395976367891037726575403601295417810546300639585411747246060864053674344688828580570789172079722330398706257781<248>
prime factors 素因数
17417242051920439610326182051002564361919<41>
1304076206776868917155556879403608062368199683513963116572375651737365005584802444894294170693047718497827373907190648485176157085232473285236086167970313519059301992766512964972336603759869924996638359876299<208>
factorization results 素因数分解の結果
Resuming ECM residue saved by @be7392416c64 with GMP-ECM 7.0.5-dev on Thu Jan  5 17:38:27 2023 
Input number is 22713410947582975873597947423188764554533193411735568243167288204873300729593027697055698252850628574583112001189578568168629259287192247395976367891037726575403601295417810546300639585411747246060864053674344688828580570789172079722330398706257781 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1209911473
Step 1 took 0ms
Step 2 took 6294ms
********** Factor found in step 2: 17417242051920439610326182051002564361919
Found prime factor of 41 digits: 17417242051920439610326182051002564361919
Prime cofactor 1304076206776868917155556879403608062368199683513963116572375651737365005584802444894294170693047718497827373907190648485176157085232473285236086167970313519059301992766512964972336603759869924996638359876299 has 208 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

26×10295-53

c265

composite cofactor 合成数の残り
1264964366146286698574565555681514108572065548492458542224417806373786335580294647004991975567525180563451307793438724670986945393595592206692180118273716544276724413184211733210400665520639824466082092069927644935023861579088788072827398059212868234568083694955331<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:23 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 23 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 13:10:07 UTC 2023 年 2 月 24 日 (金) 22 時 10 分 7 秒 (日本時間)

26×10296-53

c284

name 名前Dmitry Domanov
date 日付January 6, 2023 18:20:06 UTC 2023 年 1 月 7 日 (土) 3 時 20 分 6 秒 (日本時間)
composite number 合成数
10155440660305787539611380211442451657233740889565742850300538530297563774986855399426084384063512187542763931343305457705837523398628021128282000606039839396113433353109891746672006789102604668133543328546578105483896736195893234588593685230431973284725778022874837405234452578031429<284>
prime factors 素因数
672833518784542911286342400474518301<36>
composite cofactor 合成数の残り
15093541532608749322142405040039255631365859652738013775603741542344987835910338490676305693158023183250843986501643066639457773058045849992890012882603017640712959089410431832614282037400805716934255555150350409542759462404429404692372739077190729<248>
factorization results 素因数分解の結果
Resuming ECM residue saved by @be7392416c64 with GMP-ECM 7.0.5-dev on Thu Jan  5 17:48:44 2023 
Input number is 10155440660305787539611380211442451657233740889565742850300538530297563774986855399426084384063512187542763931343305457705837523398628021128282000606039839396113433353109891746672006789102604668133543328546578105483896736195893234588593685230431973284725778022874837405234452578031429 (284 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2570092736
Step 1 took 0ms
Step 2 took 4296ms
********** Factor found in step 2: 672833518784542911286342400474518301
Found prime factor of 36 digits: 672833518784542911286342400474518301
Composite cofactor 15093541532608749322142405040039255631365859652738013775603741542344987835910338490676305693158023183250843986501643066639457773058045849992890012882603017640712959089410431832614282037400805716934255555150350409542759462404429404692372739077190729 has 248 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 6, 2023 18:19:57 UTC 2023 年 1 月 7 日 (土) 3 時 19 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 5, 2023 07:57:26 UTC 2023 年 3 月 5 日 (日) 16 時 57 分 26 秒 (日本時間)

26×10297-53

c280

composite cofactor 合成数の残り
1124138391322045804450863829872167242114645213068994573833185822332666612582235614706814743954827894366794318111706133551537373217703428760634403310495851050897634066495892712897311346306754594962755870636729596782809172044391145789325700629716091336087431770967384990949764530549<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:30 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 30 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 11:24:35 UTC 2023 年 2 月 24 日 (金) 20 時 24 分 35 秒 (日本時間)

26×10299-53

c287

composite cofactor 合成数の残り
15585688282338817319337669742680081919506228009605620348917255028768641807591265749063516221954175730074966678070072691460967645799526203736458544494494843466673348425097652602634181160327574085744442060983091207880021570819063188950229883592163959854950922401731679917837434038876115471<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJanuary 29, 2023 10:36:35 UTC 2023 年 1 月 29 日 (日) 19 時 36 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 24, 2023 11:24:25 UTC 2023 年 2 月 24 日 (金) 20 時 24 分 25 秒 (日本時間)

26×10300-53

c294

name 名前Dmitry Domanov
date 日付December 24, 2022 11:47:24 UTC 2022 年 12 月 24 日 (土) 20 時 47 分 24 秒 (日本時間)
composite number 合成数
451934623485008676710218389584853723971716193052217830055025647724435296824142417114972776588117821789836668219757382373802253745821017028462060392545199328807555721149036827370273252709934713698112364679258086739986106486748016637104058555430954862247284894111283164939885307683609956432633191<294>
prime factors 素因数
1955648095934542021172986688176264501<37>
231091996778205383092817116941231418027619553017921079359880864341383213245694625425502929464095267048928521245033797629951570501575287100824013562031716653178275666342223169110178112846672961118257050997954392125857990528268838498280747541792162452620363691<258>
factorization results 素因数分解の結果
GPU: factor 1955648095934542021172986688176264501 found in Step 1 with curve 795 (-sigma 3:1597090691)
GPU: factor 1955648095934542021172986688176264501 found in Step 1 with curve 864 (-sigma 3:1597090760)
Computing 1792 Step 1 took 342ms of CPU time / 265652ms of GPU time
Throughput: 6.746 curves per second (on average 148.24ms per Step 1)
********** Factor found in step 1: 1955648095934542021172986688176264501
Found prime factor of 37 digits: 1955648095934542021172986688176264501
Prime cofactor 231091996778205383092817116941231418027619553017921079359880864341383213245694625425502929464095267048928521245033797629951570501575287100824013562031716653178275666342223169110178112846672961118257050997954392125857990528268838498280747541792162452620363691 has 258 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)