Table of contents 目次

9×10114-8

c112

name 名前Dmitry Domanov
date 日付December 23, 2022 15:20:58 UTC 2022 年 12 月 24 日 (土) 0 時 20 分 58 秒 (日本時間)
composite number 合成数
7450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649<112>
prime factors 素因数
68323635856314184487071986086392049652235439<44>
109044710991317745380170619820817049191422994874837188929918484614391<69>
factorization results 素因数分解の結果
N=7450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649
  ( 112 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=68323635856314184487071986086392049652235439 (pp44)
 r2=109044710991317745380170619820817049191422994874837188929918484614391 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649
m: 10000000000000000000000000000
deg: 4
c4: 225
c0: -2
skew: 0.31
# Murphy_E = 7.933e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61383 x 61616
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,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.02 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)

9×10119-8

c110

name 名前Dmitry Domanov
date 日付December 24, 2022 22:51:01 UTC 2022 年 12 月 25 日 (日) 7 時 51 分 1 秒 (日本時間)
composite number 合成数
74060015520385506751466047137498802457777925979731996210847347437419680226245566175813714621819419972372928301<110>
prime factors 素因数
1957074234256874954651451524466241049253263178391<49>
37842210695961158208692839389656753183039662938556309297826011<62>
factorization results 素因数分解の結果
N=74060015520385506751466047137498802457777925979731996210847347437419680226245566175813714621819419972372928301
  ( 110 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=1957074234256874954651451524466241049253263178391 (pp49)
 r2=37842210695961158208692839389656753183039662938556309297826011 (pp62)
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: 74060015520385506751466047137498802457777925979731996210847347437419680226245566175813714621819419972372928301
m: 500000000000000000000000000000
deg: 4
c4: 9
c0: -5
skew: 0.86
# Murphy_E = 4.985e-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, 595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56676 x 56901
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)

9×10138-8

c124

name 名前Dmitry Domanov
date 日付January 7, 2023 00:09:11 UTC 2023 年 1 月 7 日 (土) 9 時 9 分 11 秒 (日本時間)
composite number 合成数
2696666924697571100790247354112621078912242376486224769878891802187771372294783719913086116711310538709750552959880216101161<124>
prime factors 素因数
7468591093773337762601307298680931634769277799570369<52>
361067688783473183273231191663759098796228231385732632821579717223915369<72>
factorization results 素因数分解の結果
N=2696666924697571100790247354112621078912242376486224769878891802187771372294783719913086116711310538709750552959880216101161
  ( 124 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=7468591093773337762601307298680931634769277799570369 (pp52)
 r2=361067688783473183273231191663759098796228231385732632821579717223915369 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2696666924697571100790247354112621078912242376486224769878891802187771372294783719913086116711310538709750552959880216101161
m: 10000000000000000000000000000000000
deg: 4
c4: 225
c0: -2
skew: 0.31
# Murphy_E = 5.533e-09
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 191625 x 191850
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,100000
total time: 0.10 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)

9×10144-8

c120

name 名前Eric Jeancolas
date 日付January 9, 2023 02:45:46 UTC 2023 年 1 月 9 日 (月) 11 時 45 分 46 秒 (日本時間)
composite number 合成数
630982934934051004873649175846971151338486199121679280910804478614470886195431699078811927146355694160482571461107139279<120>
prime factors 素因数
20702642568941549207549358420518834145967<41>
30478376508352714444875049822987149033951652971820791140382262959779324318765537<80>
factorization results 素因数分解の結果
630982934934051004873649175846971151338486199121679280910804478614470886195431699078811927146355694160482571461107139279=20702642568941549207549358420518834145967*30478376508352714444875049822987149033951652971820791140382262959779324318765537

cado polynomial
n: 630982934934051004873649175846971151338486199121679280910804478614470886195431699078811927146355694160482571461107139279
skew: 0.77
type: snfs
c0: -5
c5: 18
Y0: 50000000000000000000000000000
Y1: -1
# f(x) = 18*x^5-5
# g(x) = -x+50000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1810000
tasks.lim1 = 1810000
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: 30478376508352714444875049822987149033951652971820791140382262959779324318765537 20702642568941549207549358420518834145967
Info:Square Root: Total cpu/real time for sqrt: 36.3/7.53823
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: 1.08/0.257489
Info:Generate Free Relations: Total cpu/real time for freerel: 24.2/3.30485
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6099245
Info:Lattice Sieving: Average J: 1893.79 for 62036 special-q, max bucket fill -bkmult 1.0,1s:1.145800
Info:Lattice Sieving: Total time: 7040.43s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 13.21/9.29884
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 56.57/17.3314
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 16.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 47.8/18.8793
Info:Filtering - Merging: Merged matrix has 173551 rows and total weight 29679482 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 36.84/5.19315
Info:Filtering - Merging: Total cpu/real time for replay: 5.04/4.1681
Info:Linear Algebra: Total cpu/real time for bwc: 300.68/80.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 46.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations)
Info:Linear Algebra: Lingen CPU time 13.79, WCT time 3.76
Info:Linear Algebra: Mksol: WCT time 26.36, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 6.44/1.57634
Info:Square Root: Total cpu/real time for sqrt: 36.3/7.53823
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19896.6/3831.02
Info:root: Cleaning up computation data in /tmp/cado.xfalhg9b
30478376508352714444875049822987149033951652971820791140382262959779324318765537 20702642568941549207549358420518834145967
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)

9×10147-8

c146

name 名前Bob Backstrom
date 日付December 24, 2022 23:57:32 UTC 2022 年 12 月 25 日 (日) 8 時 57 分 32 秒 (日本時間)
composite number 合成数
38793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931<146>
prime factors 素因数
1572229720658033841885835834502598456716963085061<49>
24673941052354342877973420920815079236336865850744711206960984639090684989686316941214710531542671<98>
factorization results 素因数分解の結果
Number: n
N=38793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931  ( 146 digits)
SNFS difficulty: 147 digits.
Divisors found:

Sun Dec 25 10:46:59 2022  p49 factor: 1572229720658033841885835834502598456716963085061
Sun Dec 25 10:46:59 2022  p98 factor: 24673941052354342877973420920815079236336865850744711206960984639090684989686316941214710531542671
Sun Dec 25 10:46:59 2022  elapsed time 00:03:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 9x10^147-8 = 89(146)2
#
n: 38793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
m: 100000000000000000000000000000
deg: 5
c5: 225
c0: -2
skew: 0.39
# Murphy_E = 2.157e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 679529 hash collisions in 6863692 relations (6618623 unique)
Msieve: matrix is 287621 x 287846 (95.9 MB)

Sieving start time : 2022/12/25 10:34:37
Sieving end time  : 2022/12/25 10:43:36

Total sieving time: 0hrs 8min 59secs.

Total relation processing time: 0hrs 1min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
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)

9×10148-8

c133

name 名前Bob Backstrom
date 日付December 29, 2022 13:34:01 UTC 2022 年 12 月 29 日 (木) 22 時 34 分 1 秒 (日本時間)
composite number 合成数
1121559992801193106256812343423501267619883785399422822441268955745450775323235144407356673810815819247352126564377391334513164432871<133>
prime factors 素因数
983059845818475162208304551280473890748819798889<48>
1140886790943440076100421112460985181144096720139798169150021658370865558538028485839<85>
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 1121559992801193106256812343423501267619883785399422822441268955745450775323235144407356673810815819247352126564377391334513164432871 (133 digits)
Using B1=29910000, B2=144289285156, polynomial Dickson(12), sigma=1:2989857791
Step 1 took 46015ms
Step 2 took 19537ms
********** Factor found in step 2: 983059845818475162208304551280473890748819798889
Found prime factor of 48 digits: 983059845818475162208304551280473890748819798889
Prime cofactor 1140886790943440076100421112460985181144096720139798169150021658370865558538028485839 has 85 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)

9×10150-8

c130

name 名前Bob Backstrom
date 日付December 29, 2022 03:06:16 UTC 2022 年 12 月 29 日 (木) 12 時 6 分 16 秒 (日本時間)
composite number 合成数
1414817348187901153706716108351011197834470314060964595188644372424759292879614363019335081656992284515254930678426061982658056417<130>
prime factors 素因数
1183657393100514027617268470319360422800229301169<49>
1195292959292788740420289998074593975807515426797352419445864752612046566947513393<82>
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 1414817348187901153706716108351011197834470314060964595188644372424759292879614363019335081656992284515254930678426061982658056417 (130 digits)
Using B1=26110000, B2=96191014936, polynomial Dickson(12), sigma=1:1928289257
Step 1 took 40932ms
Step 2 took 15591ms
********** Factor found in step 2: 1183657393100514027617268470319360422800229301169
Found prime factor of 49 digits: 1183657393100514027617268470319360422800229301169
Prime cofactor 1195292959292788740420289998074593975807515426797352419445864752612046566947513393 has 82 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)

9×10156-8

c120

name 名前Bob Backstrom
date 日付February 2, 2023 17:43:45 UTC 2023 年 2 月 3 日 (金) 2 時 43 分 45 秒 (日本時間)
composite number 合成数
393165412502222194951541710402849496656957253039220220116033735961683132620178581428805650431581814376604066790306090281<120>
prime factors 素因数
4387606513894315251100831161043598447055476713<46>
89608175039666378895781177238889810851539258405723029571530023351954326337<74>
factorization results 素因数分解の結果
Number: n
N=393165412502222194951541710402849496656957253039220220116033735961683132620178581428805650431581814376604066790306090281  ( 120 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Feb  3 04:40:11 2023  prp46 factor: 4387606513894315251100831161043598447055476713
Fri Feb  3 04:40:11 2023  prp74 factor: 89608175039666378895781177238889810851539258405723029571530023351954326337
Fri Feb  3 04:40:11 2023  elapsed time 00:13:32 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.113).
Factorization parameters were as follows:
#
# N = 9x10^156-8 = 89(155)2
#
n: 393165412502222194951541710402849496656957253039220220116033735961683132620178581428805650431581814376604066790306090281
m: 10000000000000000000000000000000
deg: 5
c5: 45
c0: -4
skew: 0.62
# Murphy_E = 9.409e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1744848 hash collisions in 17800378 relations (17306076 unique)
Msieve: matrix is 642146 x 642376 (80.4 MB)

Sieving start time: 2023/02/03 02:44:59
Sieving end time  : 2023/02/03 04:26:31

Total sieving time: 1hrs 41min 32secs.

Total relation processing time: 0hrs 8min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
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)

9×10157-8

c130

name 名前Eric Jeancolas
date 日付January 13, 2023 22:36:30 UTC 2023 年 1 月 14 日 (土) 7 時 36 分 30 秒 (日本時間)
composite number 合成数
4080858473469481622236342361866718570460415333165991597207757289280396063632537692273174431033190716257653818607832760712379196449<130>
prime factors 素因数
128398104289347811763967822750397740921154330527939009925021<60>
31782856110345537151380423421873599589154183758306132006059242544970069<71>
factorization results 素因数分解の結果
4080858473469481622236342361866718570460415333165991597207757289280396063632537692273174431033190716257653818607832760712379196449=128398104289347811763967822750397740921154330527939009925021*31782856110345537151380423421873599589154183758306132006059242544970069

cado polynomial
n: 4080858473469481622236342361866718570460415333165991597207757289280396063632537692273174431033190716257653818607832760712379196449
skew: 0.39
type: snfs
c0: -2
c5: 225
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 225*x^5-2
# g(x) = -x+10000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 128398104289347811763967822750397740921154330527939009925021 31782856110345537151380423421873599589154183758306132006059242544970069
Info:Square Root: Total cpu/real time for sqrt: 141.89/44.587
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.33/92.3111
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.1s
Info:Square Root: Total cpu/real time for sqrt: 141.89/44.587
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45/43.3727
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.62/72.0659
Info:Filtering - Merging: Merged matrix has 295749 rows and total weight 50293590 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.83/16.8184
Info:Filtering - Merging: Total cpu/real time for replay: 8.85/7.58208
Info:Generate Factor Base: Total cpu/real time for makefb: 1.25/0.7486
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11663687
Info:Lattice Sieving: Average J: 1894.31 for 194819 special-q, max bucket fill -bkmult 1.0,1s:1.246480
Info:Lattice Sieving: Total time: 23953.3s
Info:Linear Algebra: Total cpu/real time for bwc: 1233.15/330.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 751.43, WCT time 198.84, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 46.0, WCT time 11.97
Info:Linear Algebra: Mksol: CPU time 409.82,  WCT time 108.47, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 9.09/3.67351
Info:Generate Free Relations: Total cpu/real time for freerel: 59.89/17.0895
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 45698.3/12778.5
Info:root: Cleaning up computation data in /tmp/cado.agn3f_c7
128398104289347811763967822750397740921154330527939009925021 31782856110345537151380423421873599589154183758306132006059242544970069
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)

9×10158-8

c153

name 名前Bob Backstrom
date 日付December 28, 2022 00:33:04 UTC 2022 年 12 月 28 日 (水) 9 時 33 分 4 秒 (日本時間)
composite number 合成数
426551605161084843957943907516028861429497654914064069946880106770606234099104052050670539123313225374701887822615197370167170313524908717956495527843393<153>
prime factors 素因数
143604941234661915236700934207001377176642955419749949553037972283754433<72>
2970312870112634474081856312243618918857225018408712836933842598294545270555029121<82>
factorization results 素因数分解の結果
Number: n
N=426551605161084843957943907516028861429497654914064069946880106770606234099104052050670539123313225374701887822615197370167170313524908717956495527843393  ( 153 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed Dec 28 11:06:16 2022  p72 factor: 143604941234661915236700934207001377176642955419749949553037972283754433
Wed Dec 28 11:06:16 2022  p82 factor: 2970312870112634474081856312243618918857225018408712836933842598294545270555029121
Wed Dec 28 11:06:16 2022  elapsed time 00:05:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 9x10^158-8 = 89(157)2
#
n: 426551605161084843957943907516028861429497654914064069946880106770606234099104052050670539123313225374701887822615197370167170313524908717956495527843393
m: 10000000000000000000000000000000
deg: 5
c5: 1125
c0: -1
skew: 0.25
# Murphy_E = 7.834e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1174882 hash collisions in 12924808 relations (12570452 unique)
Msieve: matrix is 394115 x 394350 (132.6 MB)

Sieving start time : 2022/12/28 10:36:51
Sieving end time  : 2022/12/28 11:00:35

Total sieving time: 0hrs 23min 44secs.

Total relation processing time: 0hrs 2min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
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)

9×10159-8

c160

name 名前Bob Backstrom
date 日付December 27, 2022 22:32:34 UTC 2022 年 12 月 28 日 (水) 7 時 32 分 34 秒 (日本時間)
composite number 合成数
1124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<160>
prime factors 素因数
76251200417245693501475512256578914035329343756295479903373181531759<68>
14753866087930588794845195723960036136025362808574634345561902880686146498922219047625365361<92>
factorization results 素因数分解の結果
Number: n
N=1124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 160 digits)
SNFS difficulty: 159 digits.
Divisors found:

Wed Dec 28 08:35:46 2022  p68 factor: 76251200417245693501475512256578914035329343756295479903373181531759
Wed Dec 28 08:35:46 2022  p92 factor: 14753866087930588794845195723960036136025362808574634345561902880686146498922219047625365361
Wed Dec 28 08:35:46 2022  elapsed time 00:05:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 9x10^159-8 = 89(158)2
#
n: 1124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 50000000000000000000000000000000
deg: 5
c5: 18
c0: -5
skew: 0.77
# Murphy_E = 7.845e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1456965 hash collisions in 13881580 relations (13274733 unique)
Msieve: matrix is 369648 x 369879 (123.4 MB)

Sieving start time : 2022/12/28 07:30:09
Sieving end time  : 2022/12/28 08:29:24

Total sieving time: 0hrs 59min 15secs.

Total relation processing time: 0hrs 2min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
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)

9×10163-8

c164

name 名前Bob Backstrom
date 日付December 27, 2022 19:49:45 UTC 2022 年 12 月 28 日 (水) 4 時 49 分 45 秒 (日本時間)
composite number 合成数
11249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<164>
prime factors 素因数
5444575571590553717796821590823776579<37>
2066276765208619523137639174672879269646526619976624674435465896715659099061507397792931007648352866667827418544245891908344981<127>
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 11249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (164 digits)
Using B1=25160000, B2=96190324246, polynomial Dickson(12), sigma=1:557027749
Step 1 took 60348ms
Step 2 took 19625ms
********** Factor found in step 2: 5444575571590553717796821590823776579
Found prime factor of 37 digits: 5444575571590553717796821590823776579
Prime cofactor 2066276765208619523137639174672879269646526619976624674435465896715659099061507397792931007648352866667827418544245891908344981 has 127 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)

9×10164-8

c151

name 名前Bob Backstrom
date 日付December 31, 2022 15:47:59 UTC 2023 年 1 月 1 日 (日) 0 時 47 分 59 秒 (日本時間)
composite number 合成数
1746046616718540335477771533536391905104086868573175476954422187425054620297425169847568214994049335730245249649461517848667002829051858083094130131167<151>
prime factors 素因数
512870652530623548511014147730347190057645496739351418583<57>
3404458040449650703151413971032578656006973730843209321029241569438805368433518626657525288249<94>
factorization results 素因数分解の結果
Number: n
N=1746046616718540335477771533536391905104086868573175476954422187425054620297425169847568214994049335730245249649461517848667002829051858083094130131167  ( 151 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Jan  1 02:42:53 2023  p57 factor: 512870652530623548511014147730347190057645496739351418583
Sun Jan  1 02:42:53 2023  p94 factor: 3404458040449650703151413971032578656006973730843209321029241569438805368433518626657525288249
Sun Jan  1 02:42:53 2023  elapsed time 00:07:24 (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 = 9x10^164-8 = 89(163)2
#
n: 1746046616718540335477771533536391905104086868573175476954422187425054620297425169847568214994049335730245249649461517848667002829051858083094130131167
m: 500000000000000000000000000000000
deg: 5
c5: 18
c0: -5
skew: 0.77
# Murphy_E = 5.008e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1059583 hash collisions in 12536978 relations (12290677 unique)
Msieve: matrix is 513650 x 513875 (175.6 MB)

Sieving start time : 2023/01/01 01:51:32
Sieving end time  : 2023/01/01 02:35:10

Total sieving time: 0hrs 43min 38secs.

Total relation processing time: 0hrs 3min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
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)

9×10165-8

c143

name 名前Bob Backstrom
date 日付December 31, 2022 10:50:12 UTC 2022 年 12 月 31 日 (土) 19 時 50 分 12 秒 (日本時間)
composite number 合成数
14228146793601588396870951484888583293445574343975606780414506544116850703095887468760557980650561344575435658651642697770840910540455520278161<143>
prime factors 素因数
42052342748728208645797619666488581520739569<44>
338343736961762755448088458857491353092012317406397633125619433453123611306356388335190267740939169<99>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14228146793601588396870951484888583293445574343975606780414506544116850703095887468760557980650561344575435658651642697770840910540455520278161 (143 digits)
Using B1=26200000, B2=144285141016, polynomial Dickson(12), sigma=1:296468163
Step 1 took 53463ms
Step 2 took 22330ms
********** Factor found in step 2: 42052342748728208645797619666488581520739569
Found prime factor of 44 digits: 42052342748728208645797619666488581520739569
Prime cofactor 338343736961762755448088458857491353092012317406397633125619433453123611306356388335190267740939169 has 99 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)

9×10166-8

c148

name 名前Bob Backstrom
date 日付January 1, 2023 07:35:26 UTC 2023 年 1 月 1 日 (日) 16 時 35 分 26 秒 (日本時間)
composite number 合成数
9579990636282337293587105380993905545639285726305469161216899065378129567869910610300703073198138788225946518207606646651215808782803744167222066519<148>
prime factors 素因数
36865770622720614459813342814716082911699535159000332067296502668833<68>
259861396478665407070228230857676618228744237906412160437909129242195857172429943<81>
factorization results 素因数分解の結果
Number: n
N=9579990636282337293587105380993905545639285726305469161216899065378129567869910610300703073198138788225946518207606646651215808782803744167222066519  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Jan  1 18:31:55 2023  p68 factor: 36865770622720614459813342814716082911699535159000332067296502668833
Sun Jan  1 18:31:55 2023  p81 factor: 259861396478665407070228230857676618228744237906412160437909129242195857172429943
Sun Jan  1 18:31:55 2023  elapsed time 00:07:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.289).
Factorization parameters were as follows:
#
# N = 9x10^166-8 = 89(165)2
#
n: 9579990636282337293587105380993905545639285726305469161216899065378129567869910610300703073198138788225946518207606646651215808782803744167222066519
m: 1000000000000000000000000000000000
deg: 5
c5: 45
c0: -4
skew: 0.62
# Murphy_E = 3.84e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1221570 hash collisions in 12648853 relations (12213071 unique)
Msieve: matrix is 522085 x 522310 (178.8 MB)

Sieving start time : 2023/01/01 17:50:45
Sieving end time  : 2023/01/01 18:24:38

Total sieving time: 0hrs 33min 53secs.

Total relation processing time: 0hrs 3min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
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)

9×10173-8

c161

name 名前Bob Backstrom
date 日付December 30, 2022 18:32:36 UTC 2022 年 12 月 31 日 (土) 3 時 32 分 36 秒 (日本時間)
composite number 合成数
27724639387407171251726304810296282470826668981751806083128112524913366957448769204198676348595358902446459818244155772328928138963963887535930681076394898316701<161>
prime factors 素因数
2672623411953566382956189106093522519795232903073067313747909<61>
10373567508017045505388878182995763502893990869707860098347136324761166983791804956151590014536119289<101>
factorization results 素因数分解の結果
Number: n
N=27724639387407171251726304810296282470826668981751806083128112524913366957448769204198676348595358902446459818244155772328928138963963887535930681076394898316701  ( 161 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sat Dec 31 05:28:14 2022  p61 factor: 2672623411953566382956189106093522519795232903073067313747909
Sat Dec 31 05:28:14 2022  p101 factor: 10373567508017045505388878182995763502893990869707860098347136324761166983791804956151590014536119289
Sat Dec 31 05:28:14 2022  elapsed time 00:16:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 9x10^173-8 = 89(172)2
#
n: 27724639387407171251726304810296282470826668981751806083128112524913366957448769204198676348595358902446459818244155772328928138963963887535930681076394898316701
m: 10000000000000000000000000000000000
deg: 5
c5: 1125
c0: -1
skew: 0.25
# Murphy_E = 2.022e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 58700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1373637 hash collisions in 14938897 relations (14558725 unique)
Msieve: matrix is 841583 x 841809 (287.1 MB)

Sieving start time : 2022/12/30 22:50:27
Sieving end time  : 2022/12/31 05:09:45

Total sieving time: 6hrs 19min 18secs.

Total relation processing time: 0hrs 10min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 52sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
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)

9×10175-8

c142

name 名前Bob Backstrom
date 日付January 3, 2023 03:33:08 UTC 2023 年 1 月 3 日 (火) 12 時 33 分 8 秒 (日本時間)
composite number 合成数
6435283716819523976327663560480644670128219602821118210675589782995805477589588277630913875829848682266967205679460570957285884848621943874599<142>
prime factors 素因数
772289548920076347618178736683018503701<39>
53306600228112384039727712304642695275722675661<47>
156317123915499491584527829918456114574977718568796746359<57>
factorization results 素因数分解の結果
Number: n
N=8332734433371837000697916521669899599431495475774133871374947230897658288456020689283279916374639668299  ( 103 digits)
Divisors found:

Tue Jan  3 14:29:26 2023  p47 factor: 53306600228112384039727712304642695275722675661
Tue Jan  3 14:29:26 2023  p57 factor: 156317123915499491584527829918456114574977718568796746359
Tue Jan  3 14:29:26 2023  elapsed time 00:03:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.284).
Factorization parameters were as follows:
#
# N = 9x10^175-8 = 89(174)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 6435283716819523976327663560480644670128219602821118210675589782995805477589588277630913875829848682266967205679460570957285884848621943874599 (142 digits)
# Using B1=30080000, B2=144289285156, polynomial Dickson(12), sigma=1:2924063559
# Step 1 took 60561ms
# Step 2 took 22223ms
# ********** Factor found in step 2: 772289548920076347618178736683018503701
# Found prime factor of 39 digits: 772289548920076347618178736683018503701
# Composite cofactor 8332734433371837000697916521669899599431495475774133871374947230897658288456020689283279916374639668299 has 103 digits
#

n: 8332734433371837000697916521669899599431495475774133871374947230897658288456020689283279916374639668299

Y0: -7936733359694288208351123
Y1: 16843733316191
c0: 2263285324992642751554154940
c1: -4949516939852453728363
c2: -40459296661326323
c3: 2473957345
c4: 2100

# skew 2243498.09, size 3.360e-14, alpha -4.812, combined = 7.462e-09 rroots = 4

skew: 2243498.09

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 454804 hash collisions in 6623169 relations (6602102 unique)
Msieve: matrix is 245223 x 245450 (85.2 MB)

Sieving start time : 2023/01/03 14:15:11
Sieving end time  : 2023/01/03 14:25:49

Total sieving time: 0hrs 10min 38secs.

Total relation processing time: 0hrs 1min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
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)

9×10176-8

c167

name 名前Bob Backstrom
date 日付December 31, 2022 02:15:18 UTC 2022 年 12 月 31 日 (土) 11 時 15 分 18 秒 (日本時間)
composite number 合成数
21249955839522327406894867847024244083495070351850076471384970305053877053980144032574679505110756895775616804434024625456358078010884393225103132547620113566303326151<167>
prime factors 素因数
206462535543126514455677098283239967<36>
102924028243775843850387815132700763607667868006506832305843845283773161039731317270963027267412798893561302147081481275494130193753<132>
factorization results 素因数分解の結果
Number: n
N=21249955839522327406894867847024244083495070351850076471384970305053877053980144032574679505110756895775616804434024625456358078010884393225103132547620113566303326151  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Dec 31 13:10:19 2022  p36 factor: 206462535543126514455677098283239967
Sat Dec 31 13:10:19 2022  p132 factor: 102924028243775843850387815132700763607667868006506832305843845283773161039731317270963027267412798893561302147081481275494130193753
Sat Dec 31 13:10:19 2022  elapsed time 00:18:28 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 9x10^176-8 = 89(175)2
#
n: 21249955839522327406894867847024244083495070351850076471384970305053877053980144032574679505110756895775616804434024625456358078010884393225103132547620113566303326151
m: 100000000000000000000000000000000000
deg: 5
c5: 45
c0: -4
skew: 0.62
# Murphy_E = 1.537e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1354830 hash collisions in 12020388 relations (11360275 unique)
Msieve: matrix is 896135 x 896361 (311.5 MB)

Sieving start time : 2022/12/31 11:53:32
Sieving end time  : 2022/12/31 12:51:34

Total sieving time: 0hrs 58min 2secs.

Total relation processing time: 0hrs 12min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.5,2.5,100000
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)

9×10179-8

c149

name 名前Bob Backstrom
date 日付January 4, 2023 14:38:49 UTC 2023 年 1 月 4 日 (水) 23 時 38 分 49 秒 (日本時間)
composite number 合成数
13830096248390149436757482324428360638174747470230418541280414237461822473019974163490139765897563533498634369047213989755173908983904214281778819481<149>
prime factors 素因数
3237985161343141901404333661501<31>
4271204332095615882581793490219857647370279087620053502831263551104621008221056019549860725796817620738331359456387981<118>
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 13830096248390149436757482324428360638174747470230418541280414237461822473019974163490139765897563533498634369047213989755173908983904214281778819481 (149 digits)
Using B1=25020000, B2=96190324246, polynomial Dickson(12), sigma=1:3345886049
Step 1 took 51107ms
Step 2 took 18246ms
********** Factor found in step 2: 3237985161343141901404333661501
Found prime factor of 31 digits: 3237985161343141901404333661501
Prime cofactor 4271204332095615882581793490219857647370279087620053502831263551104621008221056019549860725796817620738331359456387981 has 118 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)

9×10183-8

c158

name 名前Bob Backstrom
date 日付January 7, 2023 09:22:47 UTC 2023 年 1 月 7 日 (土) 18 時 22 分 47 秒 (日本時間)
composite number 合成数
60828499675867351375353774326152563545869948482856845120078960003757878598049404491809978772185939187954760943140745407414251388993394673062300330074526646881<158>
prime factors 素因数
64735686974622049787331927644974792205009<41>
939643997285663933034367379745499178199762624694263997258342464401801974506147881591126529534998247756967019106200209<117>
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 60828499675867351375353774326152563545869948482856845120078960003757878598049404491809978772185939187954760943140745407414251388993394673062300330074526646881 (158 digits)
Using B1=28720000, B2=144287903776, polynomial Dickson(12), sigma=1:3926032360
Step 1 took 69165ms
Step 2 took 25065ms
********** Factor found in step 2: 64735686974622049787331927644974792205009
Found prime factor of 41 digits: 64735686974622049787331927644974792205009
Prime cofactor 939643997285663933034367379745499178199762624694263997258342464401801974506147881591126529534998247756967019106200209 has 117 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)

9×10184-8

c167

name 名前Bob Backstrom
date 日付January 11, 2023 19:04:11 UTC 2023 年 1 月 12 日 (木) 4 時 4 分 11 秒 (日本時間)
composite number 合成数
19869211605344167406284106665108300493054266122235463581845095034649894816584305348003889119919035092117820744616127979008983932643340221822707328442041246980264163001<167>
prime factors 素因数
244900718425885233820762685344177372174501856084334486923766503541654293353<75>
81131699951942870179641354407414575362977117952974936326004659730353022567294389958295992017<92>
factorization results 素因数分解の結果
Number: n
N=19869211605344167406284106665108300493054266122235463581845095034649894816584305348003889119919035092117820744616127979008983932643340221822707328442041246980264163001  ( 167 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Jan 12 05:51:26 2023  prp75 factor: 244900718425885233820762685344177372174501856084334486923766503541654293353
Thu Jan 12 05:51:26 2023  prp92 factor: 81131699951942870179641354407414575362977117952974936326004659730353022567294389958295992017
Thu Jan 12 05:51:26 2023  elapsed time 01:01:25 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 9x10^184-8 = 89(183)2
#
n: 19869211605344167406284106665108300493054266122235463581845095034649894816584305348003889119919035092117820744616127979008983932643340221822707328442041246980264163001
m: 5000000000000000000000000000000000000
deg: 5
c5: 18
c0: -5
skew: 0.77
# Murphy_E = 7.935e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 916967 hash collisions in 11867533 relations (11737821 unique)
Msieve: matrix is 1417678 x 1417907 (403.0 MB)

Sieving start time: 2023/01/11 22:16:32
Sieving end time  : 2023/01/12 04:49:48

Total sieving time: 6hrs 33min 16secs.

Total relation processing time: 0hrs 56min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,53,53,2.5,2.5,100000
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)

9×10186-8

c155

name 名前Bob Backstrom
date 日付March 28, 2023 16:55:25 UTC 2023 年 3 月 29 日 (水) 1 時 55 分 25 秒 (日本時間)
composite number 合成数
12247048751126428929285783109597085105214017772803944800863691828651686802481253904545311862172788115059059544097169239192232452900384741411503323052960953<155>
prime factors 素因数
4667217113790796814008683931859755349463049206083453162071799120694341823967<76>
2624058074122709483752225319560898279530385245147114911159234475260733376710759<79>
factorization results 素因数分解の結果
Number: n
N=12247048751126428929285783109597085105214017772803944800863691828651686802481253904545311862172788115059059544097169239192232452900384741411503323052960953  ( 155 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon Mar 27 05:12:35 2023  prp76 factor: 4667217113790796814008683931859755349463049206083453162071799120694341823967
Mon Mar 27 05:12:35 2023  prp79 factor: 2624058074122709483752225319560898279530385245147114911159234475260733376710759
Mon Mar 27 05:12:35 2023  elapsed time 01:09:22 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 9x10^186-8 = 89(185)2
#
n: 12247048751126428929285783109597085105214017772803944800863691828651686802481253904545311862172788115059059544097169239192232452900384741411503323052960953
m: 10000000000000000000000000000000000000
deg: 5
c5: 45
c0: -4
skew: 0.62
# Murphy_E = 6.046e-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, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1204266 hash collisions in 12463304 relations (12034251 unique)
Msieve: matrix is 1406553 x 1406782 (400.0 MB)

Sieving start time: 2023/03/27 00:14:16
Sieving end time  : 2023/03/27 04:02:59

Total sieving time: 3hrs 48min 43secs.

Total relation processing time: 0hrs 58min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 2sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,53,53,2.5,2.5,100000
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)
403e62350Ignacio SantosFebruary 16, 2023 10:11:59 UTC 2023 年 2 月 16 日 (木) 19 時 11 分 59 秒 (日本時間)

9×10188-8

c145

name 名前Bob Backstrom
date 日付January 13, 2023 21:35:11 UTC 2023 年 1 月 14 日 (土) 6 時 35 分 11 秒 (日本時間)
composite number 合成数
2051605194152057150890381632054631017207946181215222675974782587383749454565217200139167228545010563963627206562049302155528961414583660400925287<145>
prime factors 素因数
539589729407050031992014454149160157499127<42>
3802157606681184206625483211986982687953636327472908311075784042855119777772553283800668790455180248081<103>
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 2051605194152057150890381632054631017207946181215222675974782587383749454565217200139167228545010563963627206562049302155528961414583660400925287 (145 digits)
Using B1=26040000, B2=96191014936, polynomial Dickson(12), sigma=1:231958674
Step 1 took 51961ms
Step 2 took 17369ms
********** Factor found in step 2: 539589729407050031992014454149160157499127
Found prime factor of 42 digits: 539589729407050031992014454149160157499127
Prime cofactor 3802157606681184206625483211986982687953636327472908311075784042855119777772553283800668790455180248081 has 103 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)

9×10189-8

c136

name 名前Ignacio Santos
date 日付January 13, 2023 14:07:23 UTC 2023 年 1 月 13 日 (金) 23 時 7 分 23 秒 (日本時間)
composite number 合成数
1869191124520362878754754495708855388149808802324242792843906252314182206928946417921900371256687898290415461468060309880283218887756369<136>
prime factors 素因数
404200708956467421023784689613508411<36>
composite cofactor 合成数の残り
4624413275637464344217914158155472514857643670013695001569934884857783118785593183278889679724202979<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4223826997
Step 1 took 3500ms
Step 2 took 2109ms
********** Factor found in step 2: 404200708956467421023784689613508411
Found prime factor of 36 digits: 404200708956467421023784689613508411
Composite cofactor 4624413275637464344217914158155472514857643670013695001569934884857783118785593183278889679724202979 has 100 digits
software ソフトウェア
GMP-ECM

c100

name 名前Dmitry Domanov
date 日付January 13, 2023 19:45:12 UTC 2023 年 1 月 14 日 (土) 4 時 45 分 12 秒 (日本時間)
composite number 合成数
4624413275637464344217914158155472514857643670013695001569934884857783118785593183278889679724202979<100>
prime factors 素因数
15515956357234042576138241850950176395461<41>
298042426078455211977367705198482503806014710674616313980039<60>
factorization results 素因数分解の結果
N=4624413275637464344217914158155472514857643670013695001569934884857783118785593183278889679724202979
  ( 100 digits)
Divisors found:
 r1=15515956357234042576138241850950176395461 (pp41)
 r2=298042426078455211977367705198482503806014710674616313980039 (pp60)
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: 4624413275637464344217914158155472514857643670013695001569934884857783118785593183278889679724202979
skew: 406633.76
c0: 166923251982114164650561140
c1: -1914728319358082038891
c2: 1660744034701097
c3: 17648268953
c4: 17640
Y0: -715546429533921826793819
Y1: 11169702183979
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 50000
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 233561 x 233787
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,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
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)

9×10190-8

c155

name 名前Bob Backstrom
date 日付January 24, 2023 21:55:02 UTC 2023 年 1 月 25 日 (水) 6 時 55 分 2 秒 (日本時間)
composite number 合成数
25565561283810102516369904864219283817288603530235378129735786027716297463853677913183400172887925750497054875764850995290623036380236159631901935177617023<155>
prime factors 素因数
1510933448799237887133058290866232390384925699630202139773158778416116601<73>
16920375483200433700160425592491035362465827483411209570173045490039931688274615223<83>
factorization results 素因数分解の結果
Number: n
N=25565561283810102516369904864219283817288603530235378129735786027716297463853677913183400172887925750497054875764850995290623036380236159631901935177617023  ( 155 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Jan 24 20:33:24 2023  prp73 factor: 1510933448799237887133058290866232390384925699630202139773158778416116601
Tue Jan 24 20:33:24 2023  prp83 factor: 16920375483200433700160425592491035362465827483411209570173045490039931688274615223
Tue Jan 24 20:33:24 2023  elapsed time 01:36:55 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.021).
Factorization parameters were as follows:
#
# N = 9x10^190-8 = 89(189)2
#
n: 25565561283810102516369904864219283817288603530235378129735786027716297463853677913183400172887925750497054875764850995290623036380236159631901935177617023
m: 100000000000000000000000000000000000000
deg: 5
c5: 9
c0: -8
skew: 0.98
# Murphy_E = 4.791e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1044707 hash collisions in 12185598 relations (11928325 unique)
Msieve: matrix is 1748484 x 1748709 (496.7 MB)

Sieving start time: 2023/01/24 08:11:03
Sieving end time  : 2023/01/24 18:56:18

Total sieving time: 10hrs 45min 15secs.

Total relation processing time: 1hrs 31min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,27,27,53,53,2.5,2.5,100000
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)
403e633501000Dmitry DomanovJanuary 11, 2023 05:49:10 UTC 2023 年 1 月 11 日 (水) 14 時 49 分 10 秒 (日本時間)
2350Ignacio SantosJanuary 13, 2023 17:03:29 UTC 2023 年 1 月 14 日 (土) 2 時 3 分 29 秒 (日本時間)

9×10191-8

c154

name 名前Bob Backstrom
date 日付April 4, 2023 14:37:18 UTC 2023 年 4 月 4 日 (火) 23 時 37 分 18 秒 (日本時間)
composite number 合成数
9453903065205069992882250646610235499225674731868010130866354980068681711678590877978857093877971936575215897452503271359980890438216276240642132286222989<154>
prime factors 素因数
5195087656928758107142196979380308421414355590012353806735875579<64>
1819777391551088197323979345470053112746064395294770470016524835883194646673844274204160791<91>
factorization results 素因数分解の結果
Number: n
N=9453903065205069992882250646610235499225674731868010130866354980068681711678590877978857093877971936575215897452503271359980890438216276240642132286222989  ( 154 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Apr  4 11:13:38 2023  prp64 factor: 5195087656928758107142196979380308421414355590012353806735875579
Tue Apr  4 11:13:38 2023  prp91 factor: 1819777391551088197323979345470053112746064395294770470016524835883194646673844274204160791
Tue Apr  4 11:13:38 2023  elapsed time 01:23:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 9x10^191-8 = 89(190)2
#
n: 9453903065205069992882250646610235499225674731868010130866354980068681711678590877978857093877971936575215897452503271359980890438216276240642132286222989
m: 100000000000000000000000000000000000000
deg: 5
c5: 45
c0: -4
skew: 0.62
# Murphy_E = 3.767e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1425540 hash collisions in 13263863 relations (12634623 unique)
Msieve: matrix is 1656774 x 1657004 (471.0 MB)

Sieving start time: 2023/04/04 04:00:11
Sieving end time  : 2023/04/04 09:49:44

Total sieving time: 5hrs 49min 33secs.

Total relation processing time: 1hrs 18min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,27,27,54,54,2.5,2.5,100000
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)
403e62350Ignacio SantosJanuary 15, 2023 10:30:32 UTC 2023 年 1 月 15 日 (日) 19 時 30 分 32 秒 (日本時間)

9×10192-8

c166

name 名前Dmitry Domanov
date 日付January 11, 2023 09:43:31 UTC 2023 年 1 月 11 日 (水) 18 時 43 分 31 秒 (日本時間)
composite number 合成数
5447710178067836272547467740631980978456951282972374143130107561517867006515341476912517751959157263173785023985265050821763310628765872762145060849041593945321348913<166>
prime factors 素因数
5928642013040410247881037829155795729<37>
918879933395415842704896247879934799374942856245450117311320627387744272452252788678137724649475580763527903325536021838802020897<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3123996843
Step 1 took 7094ms
Step 2 took 3693ms
********** Factor found in step 2: 5928642013040410247881037829155795729
Found prime factor of 37 digits: 5928642013040410247881037829155795729
Prime cofactor 918879933395415842704896247879934799374942856245450117311320627387744272452252788678137724649475580763527903325536021838802020897 has 129 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 11, 2023 05:49:03 UTC 2023 年 1 月 11 日 (水) 14 時 49 分 3 秒 (日本時間)

9×10193-8

c165

name 名前Bob Backstrom
date 日付January 23, 2023 01:51:04 UTC 2023 年 1 月 23 日 (月) 10 時 51 分 4 秒 (日本時間)
composite number 合成数
128006910826574820592751600342440608880162003130463577310535018307543154158183151898127355515760924470319409840488543688427879330074645822951475930688403750504270739<165>
prime factors 素因数
7262799040040675213597316719684982857184522919<46>
17625010704668749793424575502453102774179614922233896284596430760322177108396990378483907611031378339193590688722409781<119>
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 128006910826574820592751600342440608880162003130463577310535018307543154158183151898127355515760924470319409840488543688427879330074645822951475930688403750504270739 (165 digits)
Using B1=27230000, B2=144286522396, polynomial Dickson(12), sigma=1:2739039853
Step 1 took 64673ms
Step 2 took 25493ms
********** Factor found in step 2: 7262799040040675213597316719684982857184522919
Found prime factor of 46 digits: 7262799040040675213597316719684982857184522919
Prime cofactor 17625010704668749793424575502453102774179614922233896284596430760322177108396990378483907611031378339193590688722409781 has 119 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 11, 2023 05:48:56 UTC 2023 年 1 月 11 日 (水) 14 時 48 分 56 秒 (日本時間)

9×10195-8

c120

name 名前Eric Jeancolas
date 日付December 24, 2022 19:32:03 UTC 2022 年 12 月 25 日 (日) 4 時 32 分 3 秒 (日本時間)
composite number 合成数
512034104412416889295051048019462713846437964937011576785442432646637515756303988192570918748950168558447296017340595701<120>
prime factors 素因数
25877676049782522580878354518749915940374714460053621511<56>
19786711272966880354605917313298337431094163031276791434922976291<65>
factorization results 素因数分解の結果
512034104412416889295051048019462713846437964937011576785442432646637515756303988192570918748950168558447296017340595701=25877676049782522580878354518749915940374714460053621511*19786711272966880354605917313298337431094163031276791434922976291

cado polynomial
n: 512034104412416889295051048019462713846437964937011576785442432646637515756303988192570918748950168558447296017340595701
skew: 195374.053
c0: -219752780502305306001175816386
c1: 3414240536505418988866585
c2: 33942217859579854758
c3: -91701971096317
c4: -293802624
c5: 1080
Y0: -310161570094846494968456
Y1: 10125985643585141
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.464e-06
# f(x) = 1080*x^5-293802624*x^4-91701971096317*x^3+33942217859579854758*x^2+3414240536505418988866585*x-219752780502305306001175816386
# g(x) = 10125985643585141*x-310161570094846494968456

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: 19786711272966880354605917313298337431094163031276791434922976291 25877676049782522580878354518749915940374714460053621511
Info:Square Root: Total cpu/real time for sqrt: 1016.69/135.501
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): 20420/35.400/42.781/47.770/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16319/34.670/37.853/43.290/0.830
Info:Polynomial Selection (size optimized): Total time: 3084.24
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1825.65
Info:Polynomial Selection (root optimized): Rootsieve time: 1783.17
Info:Generate Factor Base: Total cpu/real time for makefb: 5.36/0.883628
Info:Generate Free Relations: Total cpu/real time for freerel: 130.39/16.3974
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13427142
Info:Lattice Sieving: Average J: 1945.68 for 258246 special-q, max bucket fill -bkmult 1.0,1s:1.237790
Info:Lattice Sieving: Total time: 52291.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.33/60.9183
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 149.41/98.5915
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.31/65.7615
Info:Filtering - Merging: Merged matrix has 765347 rows and total weight 77813955 (101.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.86/10.1176
Info:Filtering - Merging: Total cpu/real time for replay: 17.23/13.6473
Info:Linear Algebra: Total cpu/real time for bwc: 3950.62/1051.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 639.04, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 74.59, WCT time 20.22
Info:Linear Algebra: Mksol: WCT time 376.08, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 33.6/7.5862
Info:Square Root: Total cpu/real time for sqrt: 1016.69/135.501
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133694/15340.9
Info:root: Cleaning up computation data in /tmp/cado.gu93hnow
19786711272966880354605917313298337431094163031276791434922976291 25877676049782522580878354518749915940374714460053621511
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 09:20:49 UTC 2022 年 12 月 24 日 (土) 18 時 20 分 49 秒 (日本時間)

9×10198-8

c195

name 名前Bob Backstrom
date 日付February 10, 2023 01:55:56 UTC 2023 年 2 月 10 日 (金) 10 時 55 分 56 秒 (日本時間)
composite number 合成数
431199693369106937523955538520505940973553085473361441165197393637408968953622077424300498275201226523572249904177845917976236105787658106554235339210425450364124185511690302798006899195093905711<195>
prime factors 素因数
10486671172327718832539360280571243613815155166319423<53>
1311501759085838033177791275015581473178417778609923141303614781801<67>
31352481174336382232498890183222827101633213834403528987025385305813890775657<77>
factorization results 素因数分解の結果
Number: n
N=431199693369106937523955538520505940973553085473361441165197393637408968953622077424300498275201226523572249904177845917976236105787658106554235339210425450364124185511690302798006899195093905711  ( 195 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Feb 10 11:36:56 2023  prp53 factor: 10486671172327718832539360280571243613815155166319423
Fri Feb 10 11:36:56 2023  prp67 factor: 1311501759085838033177791275015581473178417778609923141303614781801
Fri Feb 10 11:36:56 2023  prp77 factor: 31352481174336382232498890183222827101633213834403528987025385305813890775657
Fri Feb 10 11:36:56 2023  elapsed time 03:04:50 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.788).
Factorization parameters were as follows:
#
# N = 9x10^198-8 = 89(197)2
#
n: 431199693369106937523955538520505940973553085473361441165197393637408968953622077424300498275201226523572249904177845917976236105787658106554235339210425450364124185511690302798006899195093905711
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1125
c0: -1
skew: 0.25
# Murphy_E = 1.932e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 32355431)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1690213 hash collisions in 13155088 relations (12177666 unique)
Msieve: matrix is 2220532 x 2220757 (629.0 MB)

Sieving start time: 2023/02/09 21:38:30
Sieving end time  : 2023/02/10 08:31:49

Total sieving time: 10hrs 53min 19secs.

Total relation processing time: 2hrs 50min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 32sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,13500000,13500000,27,27,53,53,2.5,2.5,100000
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)
403e61000Dmitry DomanovJanuary 11, 2023 05:50:17 UTC 2023 年 1 月 11 日 (水) 14 時 50 分 17 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:52:35 UTC 2023 年 1 月 24 日 (火) 14 時 52 分 35 秒 (日本時間)

9×10199-8

c175

name 名前Bob Backstrom
date 日付February 18, 2023 07:31:28 UTC 2023 年 2 月 18 日 (土) 16 時 31 分 28 秒 (日本時間)
composite number 合成数
6410543598972070699175494758994092168094373247181565213234754321164481343860638436458574602360795444715306970638009705492514436639003252178646110636683740883555591136199099579<175>
prime factors 素因数
273305110064218372216663441160725527013154555353282026934028302394999689<72>
23455630220253797329712631094048353578350192067216496086788879619871302518136205955465390897338762527011<104>
factorization results 素因数分解の結果
Number: n
N=6410543598972070699175494758994092168094373247181565213234754321164481343860638436458574602360795444715306970638009705492514436639003252178646110636683740883555591136199099579  ( 175 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Feb 18 17:55:01 2023  prp72 factor: 273305110064218372216663441160725527013154555353282026934028302394999689
Sat Feb 18 17:55:01 2023  prp104 factor: 23455630220253797329712631094048353578350192067216496086788879619871302518136205955465390897338762527011
Sat Feb 18 17:55:01 2023  elapsed time 02:23:44 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 9x10^199-8 = 89(198)2
#
n: 6410543598972070699175494758994092168094373247181565213234754321164481343860638436458574602360795444715306970638009705492514436639003252178646110636683740883555591136199099579
m: 5000000000000000000000000000000000000000
deg: 5
c5: 18
c0: -5
skew: 0.77
# Murphy_E = 1.903e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 32800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1762280 hash collisions in 13592302 relations (12565464 unique)
Msieve: matrix is 2136358 x 2136583 (605.6 MB)

Sieving start time: 2023/02/18 04:03:19
Sieving end time  : 2023/02/18 15:30:59

Total sieving time: 11hrs 27min 40secs.

Total relation processing time: 2hrs 15min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 53sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14400000,14400000,27,27,53,53,2.5,2.5,100000
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)
403e61000Dmitry DomanovJanuary 11, 2023 05:48:48 UTC 2023 年 1 月 11 日 (水) 14 時 48 分 48 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:52:43 UTC 2023 年 1 月 24 日 (火) 14 時 52 分 43 秒 (日本時間)

9×10200-8

c187

name 名前Bob Backstrom
date 日付May 31, 2023 07:24:17 UTC 2023 年 5 月 31 日 (水) 16 時 24 分 17 秒 (日本時間)
composite number 合成数
9587838784739721920658544369855845589373896367821464736595352206360409263576595245732236301009376103060893233572585318975083308203330420680297418756714934494571555940173123636680420818497<187>
prime factors 素因数
243368825502158364667718968521502365447364811963146097818894992123833138082562043729<84>
39396330918541127084356993061864003144933888346425881160685516445764094515562244394670092099454914577393<104>
factorization results 素因数分解の結果
Number: n
N=9587838784739721920658544369855845589373896367821464736595352206360409263576595245732236301009376103060893233572585318975083308203330420680297418756714934494571555940173123636680420818497  ( 187 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue May 23 06:07:33 2023  prp84 factor: 243368825502158364667718968521502365447364811963146097818894992123833138082562043729
Tue May 23 06:07:33 2023  prp104 factor: 39396330918541127084356993061864003144933888346425881160685516445764094515562244394670092099454914577393
Tue May 23 06:07:33 2023  elapsed time 02:34:17 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 9x10^200-8 = 89(199)2
#
n: 9587838784739721920658544369855845589373896367821464736595352206360409263576595245732236301009376103060893233572585318975083308203330420680297418756714934494571555940173123636680420818497
m: 10000000000000000000000000000000000000000
deg: 5
c5: 9
c0: -8
skew: 0.98
# Murphy_E = 1.838e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1751460 hash collisions in 13931695 relations (12953875 unique)
Msieve: matrix is 2197270 x 2197495 (623.4 MB)

Sieving start time: 2023/05/22 16:02:06
Sieving end time  : 2023/05/23 03:32:52

Total sieving time: 11hrs 30min 46secs.

Total relation processing time: 2hrs 27min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,27,27,56,56,2.6,2.6,100000
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)
403e633501000Dmitry DomanovJanuary 11, 2023 05:50:24 UTC 2023 年 1 月 11 日 (水) 14 時 50 分 24 秒 (日本時間)
2350Ignacio SantosMay 19, 2023 13:29:06 UTC 2023 年 5 月 19 日 (金) 22 時 29 分 6 秒 (日本時間)

9×10201-8

c185

name 名前Bob Backstrom
date 日付June 5, 2023 11:23:34 UTC 2023 年 6 月 5 日 (月) 20 時 23 分 34 秒 (日本時間)
composite number 合成数
13710284626463142137833204644939427802832405385588540361204958868477532037667876240764675097687535555086196362013544996134232766728009754337014064476560413721058449667667284435069268221<185>
prime factors 素因数
17961037381695305399876259650245620265422871<44>
31314220089408713858012074057428513544449224988129965315100662851<65>
24376618157535100687792894181975437435953734373011206954841175085072523343001<77>
factorization results 素因数分解の結果
Number: n
N=763334786020530878332775311524739776781181867784742147936646720481212023459610485757059208122308158335786819025360287339359545751785531555851  ( 141 digits)
Divisors found:

Mon Jun  5 21:13:49 2023  prp65 factor: 31314220089408713858012074057428513544449224988129965315100662851
Mon Jun  5 21:13:49 2023  prp77 factor: 24376618157535100687792894181975437435953734373011206954841175085072523343001
Mon Jun  5 21:13:49 2023  elapsed time 01:11:06 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.069).
Factorization parameters were as follows:
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 13710284626463142137833204644939427802832405385588540361204958868477532037667876240764675097687535555086196362013544996134232766728009754337014064476560413721058449667667284435069268221 (185 digits)
# Using B1=40700000, B2=192393771586, polynomial Dickson(12), sigma=1:354318392
# Step 1 took 115131ms
# Step 2 took 35205ms
# ********** Factor found in step 2: 17961037381695305399876259650245620265422871
# Found prime factor of 44 digits: 17961037381695305399876259650245620265422871
# Composite cofactor 763334786020530878332775311524739776781181867784742147936646720481212023459610485757059208122308158335786819025360287339359545751785531555851 has 141 digits

n: 763334786020530878332775311524739776781181867784742147936646720481212023459610485757059208122308158335786819025360287339359545751785531555851

Y0: -5763768349939813974978078908
Y1: 686004140615423
c0: -1821456743240484541134455217227187435
c1: -134471959828898527165977424644
c2: -55313255590412137080353
c3: -42754083908013260
c4: 2829202284
c5: 120

# skew 10222678.22, size 1.282e-13, alpha -6.959, combined = 1.935e-11 rroots = 3

skew: 10222678.22

type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved  special-q in [100000, 48400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1973915 hash collisions in 8794878 relations (6819925 unique)
Msieve: matrix is 1516923 x 1517148 (442.8 MB)

Sieving start time: 2023/06/04 23:51:00
Sieving end time  : 2023/06/05 20:02:22

Total sieving time: 20hrs 11min 22secs.

Total relation processing time: 1hrs 6min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 29sec.

Prototype def-par.txt line would be:
gnfs,140,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,26,26,51,51,2.6,2.6,60000
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)

9×10202-8

c202

name 名前Bob Backstrom
date 日付June 26, 2023 07:18:14 UTC 2023 年 6 月 26 日 (月) 16 時 18 分 14 秒 (日本時間)
composite number 合成数
1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<202>
prime factors 素因数
9778164792606516886430843893284481016008650228766261868027905144755559<70>
164360377558583673991297644276209153878567195464994836129743339103021531779228562356888044279104769468553012817052167957544604835023<132>
factorization results 素因数分解の結果
Number: n
N=1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jun 25 20:53:35 2023  prp70 factor: 9778164792606516886430843893284481016008650228766261868027905144755559
Sun Jun 25 20:53:35 2023  prp132 factor: 164360377558583673991297644276209153878567195464994836129743339103021531779228562356888044279104769468553012817052167957544604835023
Sun Jun 25 20:53:35 2023  elapsed time 02:51:49 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 9x10^202-8 = 89(201)2
#
n: 1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857
m: 10000000000000000000000000000000000000000
deg: 5
c5: 225
c0: -2
skew: 0.39
# Murphy_E = 1.371e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2242695 hash collisions in 15545039 relations (14096232 unique)
Msieve: matrix is 2262517 x 2262742 (639.0 MB)

Sieving start time: 2023/06/25 00:31:07
Sieving end time  : 2023/06/25 18:01:31

Total sieving time: 17hrs 30min 24secs.

Total relation processing time: 2hrs 33min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 19sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,27,27,56,56,2.6,2.6,100000
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)

9×10203-8

c181

name 名前Bob Backstrom
date 日付July 11, 2023 17:42:18 UTC 2023 年 7 月 12 日 (水) 2 時 42 分 18 秒 (日本時間)
composite number 合成数
5250934939379059513015735713165087756169956897035806980147447560275877742997845927155453508496325804150330857308706635417746942885106940027752927690918950562934121732099953893131831<181>
prime factors 素因数
24963214880686526036040596870488638513812328073317790201481<59>
12939575418675325162602669601052494954097630956446202509600169<62>
16256090034341889630627869602576188171247984405656354654231079<62>
factorization results 素因数分解の結果
Number: n
N=5250934939379059513015735713165087756169956897035806980147447560275877742997845927155453508496325804150330857308706635417746942885106940027752927690918950562934121732099953893131831  ( 181 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Jul 12 03:36:23 2023  prp59 factor: 24963214880686526036040596870488638513812328073317790201481
Wed Jul 12 03:36:23 2023  prp62 factor: 12939575418675325162602669601052494954097630956446202509600169
Wed Jul 12 03:36:23 2023  prp62 factor: 16256090034341889630627869602576188171247984405656354654231079
Wed Jul 12 03:36:23 2023  elapsed time 02:26:37 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 9x10^203-8 = 89(202)2
#
n: 5250934939379059513015735713165087756169956897035806980147447560275877742997845927155453508496325804150330857308706635417746942885106940027752927690918950562934121732099953893131831
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1125
c0: -1
skew: 0.25
# Murphy_E = 1.193e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2943800 hash collisions in 16799954 relations (14528853 unique)
Msieve: matrix is 2102471 x 2102696 (591.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 11min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 3sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000
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)

9×10204-8

c168

name 名前anonymous
date 日付August 31, 2023 11:12:06 UTC 2023 年 8 月 31 日 (木) 20 時 12 分 6 秒 (日本時間)
composite number 合成数
623349778632734810357415293341777249995950739412590137993857052656721528863511816788027908182276074110213833052322808069597335794516626367832810975070464706854221050177<168>
prime factors 素因数
160815815353420131773562220072065457001<39>
3876172111945691111142036444974567457653756304674350881736890987072982220209313352218609555976495195711614246550416677054058161177<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:14861298015754464106
Step 1 took 23313ms
********** Factor found in step 2: 160815815353420131773562220072065457001
Found prime factor of 39 digits: 160815815353420131773562220072065457001
Prime cofactor 3876172111945691111142036444974567457653756304674350881736890987072982220209313352218609555976495195711614246550416677054058161177 has 130 digits
software ソフトウェア
GMP-ECM 7.0.5

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)

9×10205-8

c206

name 名前Bob Backstrom
date 日付December 29, 2023 15:10:13 UTC 2023 年 12 月 30 日 (土) 0 時 10 分 13 秒 (日本時間)
composite number 合成数
11249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<206>
prime factors 素因数
4365395412522487173344256056084948144937787046641822653523581133621<67>
2577086136969052541082931673639865950992425470609121861680078848732892743538617822260284484097834165790951043948773906265651433507760597219<139>
factorization results 素因数分解の結果
Number: n
N=11249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 206 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Dec 29 16:14:26 2023  prp67 factor: 4365395412522487173344256056084948144937787046641822653523581133621
Fri Dec 29 16:14:26 2023  prp139 factor: 2577086136969052541082931673639865950992425470609121861680078848732892743538617822260284484097834165790951043948773906265651433507760597219
Fri Dec 29 16:14:26 2023  elapsed time 02:41:26 (Msieve 1.44 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 9x10^205-8 = 89(204)2
#
n: 11249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 100000000000000000000000000000000000000000
deg: 5
c5: 9
c0: -8
skew: 0.98
# Murphy_E = 1.131e-11
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3438904 hash collisions in 19135648 relations (16486346 unique)
Msieve: matrix is 2183315 x 2183540 (614.9 MB)

Sieving start time: 2023/12/28 22:15:07
Sieving end time  : 2023/12/29 13:32:34

Total sieving time: 15hrs 17min 27secs.

Total relation processing time: 2hrs 22min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 36sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
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)
403e62080Dmitry DomanovNovember 20, 2023 07:49:44 UTC 2023 年 11 月 20 日 (月) 16 時 49 分 44 秒 (日本時間)

9×10206-8

c159

name 名前Bob Backstrom
date 日付April 9, 2024 21:27:42 UTC 2024 年 4 月 10 日 (水) 6 時 27 分 42 秒 (日本時間)
composite number 合成数
169930256253716488987440988267089717973079587431924660385564037718041637758961284695583364242800951125171788110643824318511664075742131115551835111089253591697<159>
prime factors 素因数
16035403955974408010950434752401308702526223011289645593395386208044770049<74>
10597192108179135678259906505101208272452407909105552243452800245603781131839613015953<86>
factorization results 素因数分解の結果
Number: n
N=169930256253716488987440988267089717973079587431924660385564037718041637758961284695583364242800951125171788110643824318511664075742131115551835111089253591697  ( 159 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Apr 10 07:23:29 2024  prp74 factor: 16035403955974408010950434752401308702526223011289645593395386208044770049
Wed Apr 10 07:23:29 2024  prp86 factor: 10597192108179135678259906505101208272452407909105552243452800245603781131839613015953
Wed Apr 10 07:23:29 2024  elapsed time 02:43:19 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 9x10^206-8 = 89(205)2
#
n: 169930256253716488987440988267089717973079587431924660385564037718041637758961284695583364242800951125171788110643824318511664075742131115551835111089253591697
m: 100000000000000000000000000000000000000000
deg: 5
c5: 45
c0: -4
skew: 0.62
# Murphy_E = 8.884e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3768004 hash collisions in 19735689 relations (16275215 unique)
Msieve: matrix is 2244511 x 2244736 (631.9 MB)

Sieving start time: 2024/04/09 15:34:59
Sieving end time  : 2024/04/10 04:39:44

Total sieving time: 13hrs 4min 45secs.

Total relation processing time: 2hrs 33min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 55sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
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)
403e622001000Dmitry DomanovFebruary 3, 2023 20:32:40 UTC 2023 年 2 月 4 日 (土) 5 時 32 分 40 秒 (日本時間)
1200Dmitry DomanovNovember 20, 2023 09:55:37 UTC 2023 年 11 月 20 日 (月) 18 時 55 分 37 秒 (日本時間)
4511e64480Ignacio SantosMarch 15, 2024 09:03:28 UTC 2024 年 3 月 15 日 (金) 18 時 3 分 28 秒 (日本時間)

9×10210-8

c188

composite cofactor 合成数の残り
33311626070648780944917333164034227618378044786224048475169675953086603706231138600285067844180305026068107890367309280240917158108108780828179677937619042738255540721760214996451513404249<188>

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)
403e62500cccSeptember 14, 2024 00:09:42 UTC 2024 年 9 月 14 日 (土) 9 時 9 分 42 秒 (日本時間)

9×10213-8

c110

name 名前Ignacio Santos
date 日付December 24, 2022 16:19:12 UTC 2022 年 12 月 25 日 (日) 1 時 19 分 12 秒 (日本時間)
composite number 合成数
34349957459700770808349734858525944680435905633550025958159925263785510505162165587444397257969724535321084769<110>
prime factors 素因数
61298894757716884379580034387509716909<38>
560368300202940827504917539693549515692230752217832282904016713991393541<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4037731290
Step 1 took 3485ms
Step 2 took 2140ms
********** Factor found in step 2: 61298894757716884379580034387509716909
Found prime factor of 38 digits: 61298894757716884379580034387509716909
Prime cofactor 560368300202940827504917539693549515692230752217832282904016713991393541 has 72 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)

9×10214-8

c193

composite cofactor 合成数の残り
3027084209793414175199383759617712896991295597890063639647764628355224923739787662228081254766868519871445582470799715129726031296795227780863233529365453572855477945611906903956217856218452313<193>

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)
403e62500cccSeptember 14, 2024 04:07:38 UTC 2024 年 9 月 14 日 (土) 13 時 7 分 38 秒 (日本時間)

9×10216-8

c167

composite cofactor 合成数の残り
18136482655309877659450396080259880099204736358524922659491038253999615639883282646613329061480538554526757272267116311436674363053521928379146337769571945401655624793<167>

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)
403e635001000Dmitry DomanovFebruary 3, 2023 20:32:48 UTC 2023 年 2 月 4 日 (土) 5 時 32 分 48 秒 (日本時間)
2500cccSeptember 14, 2024 15:26:29 UTC 2024 年 9 月 15 日 (日) 0 時 26 分 29 秒 (日本時間)

9×10217-8

c213

composite cofactor 合成数の残り
106775751938573096306982659617885175729159746016078055447461584457246988923795332238684143088998775638044437695162346598836381583318305634912348971630869107164890234527007146856996421825912814039350423781095471759<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)
403e62500cccSeptember 14, 2024 15:26:21 UTC 2024 年 9 月 15 日 (日) 0 時 26 分 21 秒 (日本時間)

9×10218-8

c145

name 名前Ignacio Santos
date 日付December 23, 2022 17:35:59 UTC 2022 年 12 月 24 日 (土) 2 時 35 分 59 秒 (日本時間)
composite number 合成数
8652394830651784199748719865793410730762304961974222986986091835259337554954932257736977609592174200153096862690834720396962980954183266270788391<145>
prime factors 素因数
17773633196499293271484433573824708463<38>
composite cofactor 合成数の残り
486810700715707675077798690726406201230424835098705063947254493858951291190706508735246489066794335967962057<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:910351156
Step 1 took 3469ms
********** Factor found in step 2: 17773633196499293271484433573824708463
Found prime factor of 38 digits: 17773633196499293271484433573824708463
Composite cofactor 486810700715707675077798690726406201230424835098705063947254493858951291190706508735246489066794335967962057 has 108 digits
 
software ソフトウェア
GMP-ECM

c108

name 名前ebina
date 日付December 25, 2022 00:01:53 UTC 2022 年 12 月 25 日 (日) 9 時 1 分 53 秒 (日本時間)
composite number 合成数
486810700715707675077798690726406201230424835098705063947254493858951291190706508735246489066794335967962057<108>
prime factors 素因数
84452587128139390656609379719872491177199<41>
5764307728987304973004339006179201492541030417960582940899361657543<67>
factorization results 素因数分解の結果
Number: 89992_218
N = 486810700715707675077798690726406201230424835098705063947254493858951291190706508735246489066794335967962057 (108 digits)
Divisors found:
r1=84452587128139390656609379719872491177199 (pp41)
r2=5764307728987304973004339006179201492541030417960582940899361657543 (pp67)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1.02 hours.
Factorization parameters were as follows:
n: 486810700715707675077798690726406201230424835098705063947254493858951291190706508735246489066794335967962057
# norm 8.851302e-15 alpha -5.799411 e 3.711e-09 rroots 4
skew: 17224398.00
c0: 11879204640246828406874756145192
c1: 2604299582511920635744470
c2: -391338468359441905
c3: -23240617820
c4: 588
Y0: -169627850794138636312445555
Y1: 57791777917969
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4961136
Relations: 700200 relations
Pruned matrix : 404632 x 404858
Polynomial selection time: 0.05 hours.
Total sieving time: 0.85 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,107,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.02 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

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 16:44:23 UTC 2022 年 12 月 25 日 (日) 1 時 44 分 23 秒 (日本時間)

9×10219-8

c168

name 名前Dmitry Domanov
date 日付February 3, 2023 21:56:18 UTC 2023 年 2 月 4 日 (土) 6 時 56 分 18 秒 (日本時間)
composite number 合成数
743127973669518023416594526520998411407307508319594182469413478657491257569006200022059664455885550427491531422175746705369567018173741290279419530584102058126411333309<168>
prime factors 素因数
398712558242037085584998330291219<33>
297579748543620075599362116291305513249<39>
6263258298899376899782094369247451215935960567568310988175239161773979637324568258773048253434639<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1530221090
Step 1 took 8107ms
Step 2 took 4165ms
********** Factor found in step 2: 297579748543620075599362116291305513249
Found prime factor of 39 digits: 297579748543620075599362116291305513249
Composite cofactor 2497239739284839933249888028738399208573884149356942614480916703031052184461048961622186609562846152677487782607623918469852134941 has 130 digits
--
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:959074236
Step 1 took 5369ms
********** Factor found in step 1: 398712558242037085584998330291219
Found prime factor of 33 digits: 398712558242037085584998330291219
Prime cofactor 6263258298899376899782094369247451215935960567568310988175239161773979637324568258773048253434639 has 97 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 DomanovFebruary 3, 2023 20:32:55 UTC 2023 年 2 月 4 日 (土) 5 時 32 分 55 秒 (日本時間)

9×10220-8

c169

composite cofactor 合成数の残り
3322728698607329158138534946350910883896137015870107341428377637653516784786411177670317106337782276493320221725564549090836960852496612402906978242764503291889987300903<169>

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)
403e635001000Dmitry DomanovFebruary 3, 2023 20:33:05 UTC 2023 年 2 月 4 日 (土) 5 時 33 分 5 秒 (日本時間)
2500cccSeptember 14, 2024 15:26:07 UTC 2024 年 9 月 15 日 (日) 0 時 26 分 7 秒 (日本時間)

9×10223-8

c214

composite cofactor 合成数の残り
5809569737166508239872069535606713747622936435600745692823340025016089913230801960117431823089238026082108262348339497236044524110750061872821411671316433697076209472595789878347718149035077898566008203026745450099<214>

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)
403e62500cccSeptember 14, 2024 18:36:52 UTC 2024 年 9 月 15 日 (日) 3 時 36 分 52 秒 (日本時間)

9×10226-8

c176

composite cofactor 合成数の残り
51870803991408287391491486481714457952469590093705243592452587362328756535214570993136479099119124025717429311585076922119714798699122675235865471946388763585937222956374622561<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)
403e635001000Dmitry DomanovFebruary 3, 2023 20:33:13 UTC 2023 年 2 月 4 日 (土) 5 時 33 分 13 秒 (日本時間)
2500cccSeptember 15, 2024 19:28:03 UTC 2024 年 9 月 16 日 (月) 4 時 28 分 3 秒 (日本時間)

9×10227-8

c170

composite cofactor 合成数の残り
39206384139367929966258075565551531376315305867878888656246363373690775564095893933084657316215681880670895597829282419299794090500439871569711204340047497008040481641229<170>

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)
403e635001000Dmitry DomanovFebruary 3, 2023 20:33:21 UTC 2023 年 2 月 4 日 (土) 5 時 33 分 21 秒 (日本時間)
2500cccSeptember 14, 2024 21:32:32 UTC 2024 年 9 月 15 日 (日) 6 時 32 分 32 秒 (日本時間)

9×10228-8

c189

composite cofactor 合成数の残り
704425788808965118567769407608639986355909172824576949131704490761610719380737662115910865817418688309444059750757239754397924248191726413882152152714844692465719863074598430849362251756031<189>

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)
403e62500cccSeptember 15, 2024 00:17:11 UTC 2024 年 9 月 15 日 (日) 9 時 17 分 11 秒 (日本時間)

9×10229-8

c178

name 名前anonymous
date 日付September 15, 2024 01:31:24 UTC 2024 年 9 月 15 日 (日) 10 時 31 分 24 秒 (日本時間)
composite number 合成数
2768870385608239031325482407518603070865459250678346735097844410039303929504436807540341460858355743935127831796031138944594767303917640055568652096804968491562521632985087831151<178>
prime factors 素因数
2522301828146296483456632553732984355509<40>
1097755373568099908016578335674364209874519330114802155278784337405164597226926915360477197835263481115084597761553117333502013493033790739<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:292157666570003609
Step 1 took 17828ms
Step 2 took 6204ms
********** Factor found in step 2: 2522301828146296483456632553732984355509
Found prime factor of 40 digits: 2522301828146296483456632553732984355509
Prime cofactor 1097755373568099908016578335674364209874519330114802155278784337405164597226926915360477197835263481115084597761553117333502013493033790739 has 139 digits
software ソフトウェア
GMP-ECM 7.0.5

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 DomanovFebruary 3, 2023 20:33:29 UTC 2023 年 2 月 4 日 (土) 5 時 33 分 29 秒 (日本時間)

9×10231-8

c213

composite cofactor 合成数の残り
365151349889639994083103382320986354717238532825569266143589304491488694935293106539497239415551420447039621635796024281284965179394026113325100505758896162398600343780482697459342912845326029926111405124666512429<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)
403e62500cccSeptember 15, 2024 05:25:40 UTC 2024 年 9 月 15 日 (日) 14 時 25 分 40 秒 (日本時間)

9×10233-8

c220

composite cofactor 合成数の残り
1238002767829545380994359435176473872735194837351612362792033011987352479542438278178613898047222916050709205023293824627743532583946545875877511218499426014924598610093442645209677322875075551728331891954956048483012631<220>

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)
403e62500cccSeptember 15, 2024 19:28:25 UTC 2024 年 9 月 16 日 (月) 4 時 28 分 25 秒 (日本時間)

9×10235-8

c182

composite cofactor 合成数の残り
17616682996192579465227161322097048562738284737333404149035157760565247480272256299047239402635300936814073063222836547268319614000597308883100604692899889089120120471106493315385541<182>

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)
403e62500cccSeptember 15, 2024 19:28:39 UTC 2024 年 9 月 16 日 (月) 4 時 28 分 39 秒 (日本時間)

9×10238-8

c236

composite cofactor 合成数の残り
34194528875379939209726443768996960486322188449848024316109422492401215805471124620060790273556231003039513677811550151975683890577507598784194528875379939209726443768996960486322188449848024316109422492401215805471124620060790273556231<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)
403e642921792Dmitry DomanovJanuary 29, 2023 11:01:18 UTC 2023 年 1 月 29 日 (日) 20 時 1 分 18 秒 (日本時間)
2500cccSeptember 15, 2024 19:28:50 UTC 2024 年 9 月 16 日 (月) 4 時 28 分 50 秒 (日本時間)

9×10239-8

c238

composite cofactor 合成数の残り
5921052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<238>

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)
403e642921792Dmitry DomanovJanuary 29, 2023 11:01:29 UTC 2023 年 1 月 29 日 (日) 20 時 1 分 29 秒 (日本時間)
2500cccSeptember 15, 2024 19:29:00 UTC 2024 年 9 月 16 日 (月) 4 時 29 分 0 秒 (日本時間)

9×10240-8

c207

composite cofactor 合成数の残り
167278214845561146849452189086184940018257764061455335023318291719681291008375567594422975223729965363134252764127422949207724574046562486287366542069311148342236745326986944069959326067930279126570749998511<207>

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)
403e62500cccSeptember 15, 2024 19:34:12 UTC 2024 年 9 月 16 日 (月) 4 時 34 分 12 秒 (日本時間)

9×10241-8

c199

composite cofactor 合成数の残り
4665400330039628815973222234523658247783618422692118755788688751647042606505385572865707389608642425184727625275755319328981589093835164569727804136281245336640320686398248307443688017955377819585189<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)
403e62500cccSeptember 15, 2024 19:41:22 UTC 2024 年 9 月 16 日 (月) 4 時 41 分 22 秒 (日本時間)

9×10243-8

c238

name 名前Dmitry Domanov
date 日付January 29, 2023 22:11:55 UTC 2023 年 1 月 30 日 (月) 7 時 11 分 55 秒 (日本時間)
composite number 合成数
9874571004748571478727979706659410685602436605254149514171106566370283246583398432356994268360119021495843902781556934582064268096797128035881996682144142404479983147398818562438009637581300634605763238508193699584829147978126728049925831<238>
prime factors 素因数
1513097750556356139119141586352385329<37>
composite cofactor 合成数の残り
6526062841027789746462092308377675240924488784659892491464093516491123864305365597910000996110266335182871489733284130625491536994209639232410577620782695296165804884456462985405265287770062805288562039<202>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b8400992c270 with GMP-ECM 7.0.5-dev on Sun Jan 29 18:17:16 2023 
Input number is 9874571004748571478727979706659410685602436605254149514171106566370283246583398432356994268360119021495843902781556934582064268096797128035881996682144142404479983147398818562438009637581300634605763238508193699584829147978126728049925831 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3177203934
Step 1 took 0ms
Step 2 took 4176ms
********** Factor found in step 2: 1513097750556356139119141586352385329
Found prime factor of 37 digits: 1513097750556356139119141586352385329
Composite cofactor 6526062841027789746462092308377675240924488784659892491464093516491123864305365597910000996110266335182871489733284130625491536994209639232410577620782695296165804884456462985405265287770062805288562039 has 202 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)
403e641421792Dmitry DomanovJanuary 29, 2023 11:01:37 UTC 2023 年 1 月 29 日 (日) 20 時 1 分 37 秒 (日本時間)
2350Ignacio SantosSeptember 18, 2024 09:13:07 UTC 2024 年 9 月 18 日 (水) 18 時 13 分 7 秒 (日本時間)

9×10244-8

c214

name 名前Ignacio Santos
date 日付September 18, 2024 09:28:01 UTC 2024 年 9 月 18 日 (水) 18 時 28 分 1 秒 (日本時間)
composite number 合成数
5141760268593771435464815746132590838134120685092964769110785680774858309628040914009423566833461220331636885872521533462062609006364874890463942433822811740816464358947177064374463759862673669667383903562945608999<214>
prime factors 素因数
665337036935148442607612636010104249<36>
7728053577595963210422817404840777650425855769817493668944141089913303149609501091403748950396621336107695152448138319155133928010829395312524743000529384280844855383887616182751<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:195859441
Step 1 took 9516ms
Step 2 took 4140ms
********** Factor found in step 2: 665337036935148442607612636010104249
Found prime factor of 36 digits: 665337036935148442607612636010104249
Prime cofactor 7728053577595963210422817404840777650425855769817493668944141089913303149609501091403748950396621336107695152448138319155133928010829395312524743000529384280844855383887616182751 has 178 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)

9×10245-8

c175

composite cofactor 合成数の残り
6139840281717496099417995185909712598713605528279855163505300361022304030412086028565635832075131927527985351956710161871210476086846393887635200064443239737126020340151094291<175>

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)
403e635001000Dmitry DomanovFebruary 3, 2023 20:33:38 UTC 2023 年 2 月 4 日 (土) 5 時 33 分 38 秒 (日本時間)
2500cccSeptember 15, 2024 23:40:27 UTC 2024 年 9 月 16 日 (月) 8 時 40 分 27 秒 (日本時間)

9×10246-8

c191

name 名前anonymous
date 日付September 16, 2024 05:20:39 UTC 2024 年 9 月 16 日 (月) 14 時 20 分 39 秒 (日本時間)
composite number 合成数
15029974051947831137587025069204959828934135354026691581181102608079263827301874095132709533120982641152496411346710230577766767438815604060320561153995787305423529229688155777159258900503593<191>
prime factors 素因数
4536347951771326504746729014612894310407<40>
composite cofactor 合成数の残り
3313232188478623017829756659872680580834533043305909251001957511300098941072438850411547696733197567529240674596317823076882564021620884392581482001999<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:2408477736742334228
Step 1 took 18437ms
Step 2 took 6844ms
********** Factor found in step 2: 4536347951771326504746729014612894310407
Found prime factor of 40 digits: 4536347951771326504746729014612894310407
Composite cofactor 3313232188478623017829756659872680580834533043305909251001957511300098941072438850411547696733197567529240674596317823076882564021620884392581482001999 has 151 digits
software ソフトウェア
GMP-ECM 7.0.5

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)
403e62500cccSeptember 20, 2024 00:38:09 UTC 2024 年 9 月 20 日 (金) 9 時 38 分 9 秒 (日本時間)
4511e64480Ignacio SantosSeptember 26, 2024 09:49:39 UTC 2024 年 9 月 26 日 (木) 18 時 49 分 39 秒 (日本時間)
5043e66454Ignacio SantosSeptember 27, 2024 14:37:45 UTC 2024 年 9 月 27 日 (金) 23 時 37 分 45 秒 (日本時間)

9×10248-8

c244

name 名前Dmitry Domanov
date 日付January 29, 2023 18:59:44 UTC 2023 年 1 月 30 日 (月) 3 時 59 分 44 秒 (日本時間)
composite number 合成数
1094006787704336156681221008820125835091847947643266266665370066029387453443933367693250221232483735765756128869137339181002207462584967860511703441502241498351696439858800190600293680044343741794949092217478824890842433849056236811140392675503<244>
prime factors 素因数
34833275414194459828523030599289<32>
composite cofactor 合成数の残り
31406945648830127767206628275555715946003254721302697007524020025024820639262471461141510161093289556961258893181424044349756675726581121097134542159051737939331321060300484581398930037645733538350459375181172327<212>
factorization results 素因数分解の結果
GPU: factor 34833275414194459828523030599289 found in Step 1 with curve 851 (-sigma 3:-539475219)
Computing 1792 Step 1 took 352ms of CPU time / 267996ms of GPU time
Throughput: 6.687 curves per second (on average 149.55ms per Step 1)
********** Factor found in step 1: 34833275414194459828523030599289
Found prime factor of 32 digits: 34833275414194459828523030599289
Composite cofactor 31406945648830127767206628275555715946003254721302697007524020025024820639262471461141510161093289556961258893181424044349756675726581121097134542159051737939331321060300484581398930037645733538350459375181172327 has 212 digits
Peak memory usage: 9428MB

c212

name 名前Dmitry Domanov
date 日付February 1, 2023 14:20:36 UTC 2023 年 2 月 1 日 (水) 23 時 20 分 36 秒 (日本時間)
composite number 合成数
31406945648830127767206628275555715946003254721302697007524020025024820639262471461141510161093289556961258893181424044349756675726581121097134542159051737939331321060300484581398930037645733538350459375181172327<212>
prime factors 素因数
106174697850146351905657712134351063<36>
composite cofactor 合成数の残り
295804426899876845052192855324900994795549112058698657577187932506441456433421362993675093681889543078687612354033786397424897861862719355835923779851357819014186265455201420529<177>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b8400992c270 with GMP-ECM 7.0.5-dev on Sun Jan 29 18:21:44 2023 
Input number is 31406945648830127767206628275555715946003254721302697007524020025024820639262471461141510161093289556961258893181424044349756675726581121097134542159051737939331321060300484581398930037645733538350459375181172327 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3755492150
Step 1 took 0ms
Step 2 took 3518ms
********** Factor found in step 2: 106174697850146351905657712134351063
Found prime factor of 36 digits: 106174697850146351905657712134351063
Composite cofactor 295804426899876845052192855324900994795549112058698657577187932506441456433421362993675093681889543078687612354033786397424897861862719355835923779851357819014186265455201420529 has 177 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)
403e642921792Dmitry DomanovJanuary 29, 2023 11:01:45 UTC 2023 年 1 月 29 日 (日) 20 時 1 分 45 秒 (日本時間)
2500cccSeptember 16, 2024 00:57:24 UTC 2024 年 9 月 16 日 (月) 9 時 57 分 24 秒 (日本時間)

9×10249-8

c162

name 名前Ignacio Santos
date 日付January 1, 2023 11:08:58 UTC 2023 年 1 月 1 日 (日) 20 時 8 分 58 秒 (日本時間)
composite number 合成数
442584865655095597493658742851051864802712754459878058930651278749906215542551142104610334438226742368334237524566425400626755566199310341308379132913486745185951<162>
prime factors 素因数
15142494080361621572322784745599590404959<41>
composite cofactor 合成数の残り
29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489<122>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2973906673
Step 1 took 23594ms
Step 2 took 10110ms
********** Factor found in step 2: 15142494080361621572322784745599590404959
Found prime factor of 41 digits: 15142494080361621572322784745599590404959
Composite cofactor 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 has 122 digits
 
software ソフトウェア
GMP-ECM

c122

name 名前Ignacio Santos
date 日付January 3, 2023 12:22:21 UTC 2023 年 1 月 3 日 (火) 21 時 22 分 21 秒 (日本時間)
composite number 合成数
29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489<122>
prime factors 素因数
97899783070788796630900067103863923090082154741260151109<56>
298550234715869656438777772575974814248256667720588501919707391821<66>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2350000, q1=2450000.
->               client 1 q0: 2350000
      LatSieveTime: 92
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-> makeJobFile(): Adjusted to q0=2450001, q1=2550000.
->               client 1 q0: 2450001
      LatSieveTime: 84
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-> makeJobFile(): Adjusted to q0=2550001, q1=2650000.
->               client 1 q0: 2550001
      LatSieveTime: 91
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-> makeJobFile(): Adjusted to q0=2650001, q1=2750000.
->               client 1 q0: 2650001
      LatSieveTime: 87
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-> makeJobFile(): Adjusted to q0=2750001, q1=2850000.
->               client 1 q0: 2750001
      LatSieveTime: 96
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-> makeJobFile(): Adjusted to q0=2850001, q1=2950000.
->               client 1 q0: 2850001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=2950001, q1=3050000.
->               client 1 q0: 2950001
      LatSieveTime: 87
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-> makeJobFile(): Adjusted to q0=3050001, q1=3150000.
->               client 1 q0: 3050001
      LatSieveTime: 95
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-> makeJobFile(): Adjusted to q0=3150001, q1=3250000.
->               client 1 q0: 3150001
      LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=3250001, q1=3350000.
->               client 1 q0: 3250001
      LatSieveTime: 94
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-> makeJobFile(): Adjusted to q0=3350001, q1=3450000.
->               client 1 q0: 3350001
      LatSieveTime: 92
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-> makeJobFile(): Adjusted to q0=3450001, q1=3550000.
->               client 1 q0: 3450001
      LatSieveTime: 92
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        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=3550001, q1=3650000.
->               client 1 q0: 3550001
      LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 141
-> makeJobFile(): Adjusted to q0=3650001, q1=3750000.
->               client 1 q0: 3650001
      LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 132
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=3750001, q1=3850000.
->               client 1 q0: 3750001
      LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 135
        LatSieveTime: 139
-> makeJobFile(): Adjusted to q0=3850001, q1=3950000.
->               client 1 q0: 3850001
      LatSieveTime: 93
        LatSieveTime: 98
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=3950001, q1=4050000.
->               client 1 q0: 3950001
      LatSieveTime: 85
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 137
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=4050001, q1=4150000.
->               client 1 q0: 4050001
      LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=4150001, q1=4250000.
->               client 1 q0: 4150001
      LatSieveTime: 91
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 122
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
-> makeJobFile(): Adjusted to q0=4250001, q1=4350000.
->               client 1 q0: 4250001
      LatSieveTime: 88
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
-> makeJobFile(): Adjusted to q0=4350001, q1=4450000.
->               client 1 q0: 4350001
      LatSieveTime: 88
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 97
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
-> makeJobFile(): Adjusted to q0=4450001, q1=4550000.
->               client 1 q0: 4450001
      LatSieveTime: 98
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 133
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=4550001, q1=4650000.
->               client 1 q0: 4550001
      LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
Tue Jan 03 12:56:26 2023  
Tue Jan 03 12:56:26 2023  
Tue Jan 03 12:56:26 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 12:56:26 2023  random seeds: ef9207a0 fb3dfbaa
Tue Jan 03 12:56:26 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 12:56:26 2023  searching for 15-digit factors
Tue Jan 03 12:56:26 2023  commencing number field sieve (122-digit input)
Tue Jan 03 12:56:26 2023  R0: -284795009126269821446562
Tue Jan 03 12:56:26 2023  R1: 18020248160653
Tue Jan 03 12:56:26 2023  A0: 223416249625625910947135345375
Tue Jan 03 12:56:26 2023  A1: 8733911624339172250361819
Tue Jan 03 12:56:26 2023  A2: -56868255662493227112
Tue Jan 03 12:56:26 2023  A3: -1286798813637561
Tue Jan 03 12:56:26 2023  A4: 7196671003
Tue Jan 03 12:56:26 2023  A5: 15600
Tue Jan 03 12:56:26 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 12:56:26 2023  
Tue Jan 03 12:56:26 2023  commencing relation filtering
Tue Jan 03 12:56:26 2023  estimated available RAM is 65413.5 MB
Tue Jan 03 12:56:26 2023  commencing duplicate removal, pass 1
Tue Jan 03 12:56:44 2023  found 1154821 hash collisions in 9269053 relations
Tue Jan 03 12:56:54 2023  added 62377 free relations
Tue Jan 03 12:56:54 2023  commencing duplicate removal, pass 2
Tue Jan 03 12:56:57 2023  found 760714 duplicates and 8570716 unique relations
Tue Jan 03 12:56:57 2023  memory use: 41.3 MB
Tue Jan 03 12:56:57 2023  reading ideals above 100000
Tue Jan 03 12:56:57 2023  commencing singleton removal, initial pass
Tue Jan 03 12:57:29 2023  memory use: 344.5 MB
Tue Jan 03 12:57:29 2023  reading all ideals from disk
Tue Jan 03 12:57:29 2023  memory use: 307.2 MB
Tue Jan 03 12:57:30 2023  keeping 10221310 ideals with weight <= 200, target excess is 45296
Tue Jan 03 12:57:30 2023  commencing in-memory singleton removal
Tue Jan 03 12:57:30 2023  begin with 8570716 relations and 10221310 unique ideals
Tue Jan 03 12:57:35 2023  reduce to 1769333 relations and 2024943 ideals in 40 passes
Tue Jan 03 12:57:35 2023  max relations containing the same ideal: 73
Tue Jan 03 12:57:35 2023  filtering wants 1000000 more relations
Tue Jan 03 12:57:35 2023  elapsed time 00:01:09
-> makeJobFile(): Adjusted to q0=4650001, q1=4750000.
->               client 1 q0: 4650001
       LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 134
Tue Jan 03 12:59:54 2023  
Tue Jan 03 12:59:54 2023  
Tue Jan 03 12:59:54 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 12:59:54 2023  random seeds: eea841c4 73a28f89
Tue Jan 03 12:59:54 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 12:59:54 2023  searching for 15-digit factors
Tue Jan 03 12:59:54 2023  commencing number field sieve (122-digit input)
Tue Jan 03 12:59:54 2023  R0: -284795009126269821446562
Tue Jan 03 12:59:54 2023  R1: 18020248160653
Tue Jan 03 12:59:54 2023  A0: 223416249625625910947135345375
Tue Jan 03 12:59:54 2023  A1: 8733911624339172250361819
Tue Jan 03 12:59:54 2023  A2: -56868255662493227112
Tue Jan 03 12:59:54 2023  A3: -1286798813637561
Tue Jan 03 12:59:54 2023  A4: 7196671003
Tue Jan 03 12:59:54 2023  A5: 15600
Tue Jan 03 12:59:54 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 12:59:54 2023  
Tue Jan 03 12:59:54 2023  commencing relation filtering
Tue Jan 03 12:59:54 2023  estimated available RAM is 65413.5 MB
Tue Jan 03 12:59:54 2023  commencing duplicate removal, pass 1
Tue Jan 03 13:00:13 2023  found 1246522 hash collisions in 9733578 relations
Tue Jan 03 13:00:24 2023  added 112 free relations
Tue Jan 03 13:00:24 2023  commencing duplicate removal, pass 2
Tue Jan 03 13:00:26 2023  found 817228 duplicates and 8916462 unique relations
Tue Jan 03 13:00:26 2023  memory use: 41.3 MB
Tue Jan 03 13:00:26 2023  reading ideals above 100000
Tue Jan 03 13:00:27 2023  commencing singleton removal, initial pass
Tue Jan 03 13:01:00 2023  memory use: 344.5 MB
Tue Jan 03 13:01:00 2023  reading all ideals from disk
Tue Jan 03 13:01:00 2023  memory use: 319.8 MB
Tue Jan 03 13:01:00 2023  keeping 10389957 ideals with weight <= 200, target excess is 47204
Tue Jan 03 13:01:01 2023  commencing in-memory singleton removal
Tue Jan 03 13:01:01 2023  begin with 8916462 relations and 10389957 unique ideals
Tue Jan 03 13:01:06 2023  reduce to 2321968 relations and 2499972 ideals in 30 passes
Tue Jan 03 13:01:06 2023  max relations containing the same ideal: 79
Tue Jan 03 13:01:06 2023  filtering wants 1000000 more relations
Tue Jan 03 13:01:06 2023  elapsed time 00:01:12
-> makeJobFile(): Adjusted to q0=4750001, q1=4850000.
->               client 1 q0: 4750001
 LatSieveTime: 94
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
Tue Jan 03 13:03:21 2023  
Tue Jan 03 13:03:21 2023  
Tue Jan 03 13:03:21 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 13:03:21 2023  random seeds: 85a1b640 3c629835
Tue Jan 03 13:03:21 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 13:03:21 2023  searching for 15-digit factors
Tue Jan 03 13:03:21 2023  commencing number field sieve (122-digit input)
Tue Jan 03 13:03:21 2023  R0: -284795009126269821446562
Tue Jan 03 13:03:21 2023  R1: 18020248160653
Tue Jan 03 13:03:21 2023  A0: 223416249625625910947135345375
Tue Jan 03 13:03:21 2023  A1: 8733911624339172250361819
Tue Jan 03 13:03:21 2023  A2: -56868255662493227112
Tue Jan 03 13:03:21 2023  A3: -1286798813637561
Tue Jan 03 13:03:21 2023  A4: 7196671003
Tue Jan 03 13:03:21 2023  A5: 15600
Tue Jan 03 13:03:21 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 13:03:21 2023  
Tue Jan 03 13:03:21 2023  commencing relation filtering
Tue Jan 03 13:03:21 2023  estimated available RAM is 65413.5 MB
Tue Jan 03 13:03:21 2023  commencing duplicate removal, pass 1
Tue Jan 03 13:03:41 2023  found 1098892 hash collisions in 10136962 relations
Tue Jan 03 13:03:52 2023  added 114 free relations
Tue Jan 03 13:03:52 2023  commencing duplicate removal, pass 2
Tue Jan 03 13:03:55 2023  found 875677 duplicates and 9261399 unique relations
Tue Jan 03 13:03:55 2023  memory use: 49.3 MB
Tue Jan 03 13:03:55 2023  reading ideals above 100000
Tue Jan 03 13:03:55 2023  commencing singleton removal, initial pass
Tue Jan 03 13:04:30 2023  memory use: 344.5 MB
Tue Jan 03 13:04:30 2023  reading all ideals from disk
Tue Jan 03 13:04:30 2023  memory use: 332.3 MB
Tue Jan 03 13:04:30 2023  keeping 10551093 ideals with weight <= 200, target excess is 49044
Tue Jan 03 13:04:31 2023  commencing in-memory singleton removal
Tue Jan 03 13:04:31 2023  begin with 9261399 relations and 10551093 unique ideals
Tue Jan 03 13:04:36 2023  reduce to 2827665 relations and 2911294 ideals in 24 passes
Tue Jan 03 13:04:36 2023  max relations containing the same ideal: 92
Tue Jan 03 13:04:36 2023  filtering wants 1000000 more relations
Tue Jan 03 13:04:36 2023  elapsed time 00:01:15
-> makeJobFile(): Adjusted to q0=4850001, q1=4950000.
->               client 1 q0: 4850001
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
Tue Jan 03 13:06:48 2023  
Tue Jan 03 13:06:48 2023  
Tue Jan 03 13:06:48 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 13:06:48 2023  random seeds: 48b76588 fe265c30
Tue Jan 03 13:06:48 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 13:06:48 2023  searching for 15-digit factors
Tue Jan 03 13:06:48 2023  commencing number field sieve (122-digit input)
Tue Jan 03 13:06:48 2023  R0: -284795009126269821446562
Tue Jan 03 13:06:48 2023  R1: 18020248160653
Tue Jan 03 13:06:48 2023  A0: 223416249625625910947135345375
Tue Jan 03 13:06:48 2023  A1: 8733911624339172250361819
Tue Jan 03 13:06:48 2023  A2: -56868255662493227112
Tue Jan 03 13:06:48 2023  A3: -1286798813637561
Tue Jan 03 13:06:48 2023  A4: 7196671003
Tue Jan 03 13:06:48 2023  A5: 15600
Tue Jan 03 13:06:48 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 13:06:48 2023  
Tue Jan 03 13:06:48 2023  commencing relation filtering
Tue Jan 03 13:06:48 2023  estimated available RAM is 65413.5 MB
Tue Jan 03 13:06:48 2023  commencing duplicate removal, pass 1
Tue Jan 03 13:07:09 2023  found 1173909 hash collisions in 10540521 relations
Tue Jan 03 13:07:20 2023  added 93 free relations
Tue Jan 03 13:07:20 2023  commencing duplicate removal, pass 2
Tue Jan 03 13:07:23 2023  found 936271 duplicates and 9604343 unique relations
Tue Jan 03 13:07:23 2023  memory use: 49.3 MB
Tue Jan 03 13:07:23 2023  reading ideals above 100000
Tue Jan 03 13:07:23 2023  commencing singleton removal, initial pass
Tue Jan 03 13:07:59 2023  memory use: 344.5 MB
Tue Jan 03 13:07:59 2023  reading all ideals from disk
Tue Jan 03 13:07:59 2023  memory use: 344.7 MB
Tue Jan 03 13:08:00 2023  keeping 10704635 ideals with weight <= 200, target excess is 50932
Tue Jan 03 13:08:00 2023  commencing in-memory singleton removal
Tue Jan 03 13:08:01 2023  begin with 9604343 relations and 10704635 unique ideals
Tue Jan 03 13:08:05 2023  reduce to 3317872 relations and 3292833 ideals in 20 passes
Tue Jan 03 13:08:05 2023  max relations containing the same ideal: 100
Tue Jan 03 13:08:05 2023  filtering wants 1000000 more relations
Tue Jan 03 13:08:05 2023  elapsed time 00:01:17
-> makeJobFile(): Adjusted to q0=4950001, q1=5050000.
->               client 1 q0: 4950001
        LatSieveTime: 86
        LatSieveTime: 90
        LatSieveTime: 90
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 131
Tue Jan 03 13:10:21 2023  
Tue Jan 03 13:10:21 2023  
Tue Jan 03 13:10:21 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 13:10:21 2023  random seeds: b5598408 84cf021f
Tue Jan 03 13:10:21 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 13:10:21 2023  searching for 15-digit factors
Tue Jan 03 13:10:21 2023  commencing number field sieve (122-digit input)
Tue Jan 03 13:10:21 2023  R0: -284795009126269821446562
Tue Jan 03 13:10:21 2023  R1: 18020248160653
Tue Jan 03 13:10:21 2023  A0: 223416249625625910947135345375
Tue Jan 03 13:10:21 2023  A1: 8733911624339172250361819
Tue Jan 03 13:10:21 2023  A2: -56868255662493227112
Tue Jan 03 13:10:21 2023  A3: -1286798813637561
Tue Jan 03 13:10:21 2023  A4: 7196671003
Tue Jan 03 13:10:21 2023  A5: 15600
Tue Jan 03 13:10:21 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 13:10:21 2023  
Tue Jan 03 13:10:21 2023  commencing relation filtering
Tue Jan 03 13:10:21 2023  estimated available RAM is 65413.5 MB
Tue Jan 03 13:10:21 2023  commencing duplicate removal, pass 1
Tue Jan 03 13:10:43 2023  found 1248605 hash collisions in 10936007 relations
Tue Jan 03 13:10:54 2023  added 69 free relations
Tue Jan 03 13:10:54 2023  commencing duplicate removal, pass 2
Tue Jan 03 13:10:57 2023  found 997113 duplicates and 9938963 unique relations
Tue Jan 03 13:10:57 2023  memory use: 49.3 MB
Tue Jan 03 13:10:57 2023  reading ideals above 100000
Tue Jan 03 13:10:57 2023  commencing singleton removal, initial pass
Tue Jan 03 13:11:34 2023  memory use: 344.5 MB
Tue Jan 03 13:11:34 2023  reading all ideals from disk
Tue Jan 03 13:11:34 2023  memory use: 356.8 MB
Tue Jan 03 13:11:35 2023  keeping 10848176 ideals with weight <= 200, target excess is 52835
Tue Jan 03 13:11:35 2023  commencing in-memory singleton removal
Tue Jan 03 13:11:36 2023  begin with 9938963 relations and 10848176 unique ideals
Tue Jan 03 13:11:41 2023  reduce to 3781821 relations and 3638319 ideals in 21 passes
Tue Jan 03 13:11:41 2023  max relations containing the same ideal: 109
Tue Jan 03 13:11:42 2023  removing 439021 relations and 397914 ideals in 41107 cliques
Tue Jan 03 13:11:42 2023  commencing in-memory singleton removal
Tue Jan 03 13:11:42 2023  begin with 3342800 relations and 3638319 unique ideals
Tue Jan 03 13:11:43 2023  reduce to 3299513 relations and 3196398 ideals in 10 passes
Tue Jan 03 13:11:43 2023  max relations containing the same ideal: 97
Tue Jan 03 13:11:44 2023  removing 323171 relations and 282064 ideals in 41107 cliques
Tue Jan 03 13:11:44 2023  commencing in-memory singleton removal
Tue Jan 03 13:11:44 2023  begin with 2976342 relations and 3196398 unique ideals
Tue Jan 03 13:11:44 2023  reduce to 2948742 relations and 2886339 ideals in 8 passes
Tue Jan 03 13:11:44 2023  max relations containing the same ideal: 91
Tue Jan 03 13:11:45 2023  relations with 0 large ideals: 160
Tue Jan 03 13:11:45 2023  relations with 1 large ideals: 419
Tue Jan 03 13:11:45 2023  relations with 2 large ideals: 6775
Tue Jan 03 13:11:45 2023  relations with 3 large ideals: 56322
Tue Jan 03 13:11:45 2023  relations with 4 large ideals: 246301
Tue Jan 03 13:11:45 2023  relations with 5 large ideals: 606444
Tue Jan 03 13:11:45 2023  relations with 6 large ideals: 867454
Tue Jan 03 13:11:45 2023  relations with 7+ large ideals: 1164867
Tue Jan 03 13:11:45 2023  commencing 2-way merge
Tue Jan 03 13:11:46 2023  reduce to 1664998 relation sets and 1602595 unique ideals
Tue Jan 03 13:11:46 2023  commencing full merge
Tue Jan 03 13:12:05 2023  memory use: 186.9 MB
Tue Jan 03 13:12:05 2023  found 836654 cycles, need 828795
Tue Jan 03 13:12:05 2023  weight of 828795 cycles is about 58256456 (70.29/cycle)
Tue Jan 03 13:12:05 2023  distribution of cycle lengths:
Tue Jan 03 13:12:05 2023  1 relations: 107410
Tue Jan 03 13:12:05 2023  2 relations: 99581
Tue Jan 03 13:12:05 2023  3 relations: 97941
Tue Jan 03 13:12:05 2023  4 relations: 85765
Tue Jan 03 13:12:05 2023  5 relations: 75237
Tue Jan 03 13:12:05 2023  6 relations: 63275
Tue Jan 03 13:12:05 2023  7 relations: 55156
Tue Jan 03 13:12:05 2023  8 relations: 46241
Tue Jan 03 13:12:05 2023  9 relations: 38640
Tue Jan 03 13:12:05 2023  10+ relations: 159549
Tue Jan 03 13:12:05 2023  heaviest cycle: 23 relations
Tue Jan 03 13:12:06 2023  commencing cycle optimization
Tue Jan 03 13:12:06 2023  start with 4887936 relations
Tue Jan 03 13:12:12 2023  pruned 92997 relations
Tue Jan 03 13:12:12 2023  memory use: 168.0 MB
Tue Jan 03 13:12:12 2023  distribution of cycle lengths:
Tue Jan 03 13:12:12 2023  1 relations: 107410
Tue Jan 03 13:12:12 2023  2 relations: 101589
Tue Jan 03 13:12:12 2023  3 relations: 100727
Tue Jan 03 13:12:12 2023  4 relations: 87338
Tue Jan 03 13:12:12 2023  5 relations: 76368
Tue Jan 03 13:12:12 2023  6 relations: 63790
Tue Jan 03 13:12:12 2023  7 relations: 55119
Tue Jan 03 13:12:12 2023  8 relations: 46144
Tue Jan 03 13:12:12 2023  9 relations: 38118
Tue Jan 03 13:12:12 2023  10+ relations: 152192
Tue Jan 03 13:12:12 2023  heaviest cycle: 23 relations
Tue Jan 03 13:12:13 2023  RelProcTime: 112
Tue Jan 03 13:12:13 2023  elapsed time 00:01:52
Tue Jan 03 13:12:13 2023  
Tue Jan 03 13:12:13 2023  
Tue Jan 03 13:12:13 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 13:12:13 2023  random seeds: caa245f0 25b7ede7
Tue Jan 03 13:12:13 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 13:12:13 2023  searching for 15-digit factors
Tue Jan 03 13:12:13 2023  commencing number field sieve (122-digit input)
Tue Jan 03 13:12:13 2023  R0: -284795009126269821446562
Tue Jan 03 13:12:13 2023  R1: 18020248160653
Tue Jan 03 13:12:13 2023  A0: 223416249625625910947135345375
Tue Jan 03 13:12:13 2023  A1: 8733911624339172250361819
Tue Jan 03 13:12:13 2023  A2: -56868255662493227112
Tue Jan 03 13:12:13 2023  A3: -1286798813637561
Tue Jan 03 13:12:13 2023  A4: 7196671003
Tue Jan 03 13:12:13 2023  A5: 15600
Tue Jan 03 13:12:13 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 13:12:13 2023  
Tue Jan 03 13:12:13 2023  commencing linear algebra
Tue Jan 03 13:12:13 2023  read 828795 cycles
Tue Jan 03 13:12:14 2023  cycles contain 2867474 unique relations
Tue Jan 03 13:12:20 2023  read 2867474 relations
Tue Jan 03 13:12:22 2023  using 20 quadratic characters above 134216604
Tue Jan 03 13:12:30 2023  building initial matrix
Tue Jan 03 13:12:45 2023  memory use: 363.8 MB
Tue Jan 03 13:12:46 2023  read 828795 cycles
Tue Jan 03 13:12:46 2023  matrix is 828618 x 828795 (248.9 MB) with weight 78459688 (94.67/col)
Tue Jan 03 13:12:46 2023  sparse part has weight 56135625 (67.73/col)
Tue Jan 03 13:12:50 2023  filtering completed in 2 passes
Tue Jan 03 13:12:50 2023  matrix is 827084 x 827261 (248.8 MB) with weight 78397749 (94.77/col)
Tue Jan 03 13:12:50 2023  sparse part has weight 56117818 (67.84/col)
Tue Jan 03 13:12:51 2023  matrix starts at (0, 0)
Tue Jan 03 13:12:51 2023  matrix is 827084 x 827261 (248.8 MB) with weight 78397749 (94.77/col)
Tue Jan 03 13:12:51 2023  sparse part has weight 56117818 (67.84/col)
Tue Jan 03 13:12:51 2023  saving the first 48 matrix rows for later
Tue Jan 03 13:12:52 2023  matrix includes 64 packed rows
Tue Jan 03 13:12:52 2023  matrix is 827036 x 827261 (240.4 MB) with weight 62455396 (75.50/col)
Tue Jan 03 13:12:52 2023  sparse part has weight 54743365 (66.17/col)
Tue Jan 03 13:12:52 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Jan 03 13:12:54 2023  commencing Lanczos iteration (32 threads)
Tue Jan 03 13:12:54 2023  memory use: 188.0 MB
Tue Jan 03 13:12:56 2023  linear algebra at 0.4%, ETA 0h 9m
Tue Jan 03 13:20:27 2023  lanczos halted after 13079 iterations (dim = 827032)
Tue Jan 03 13:20:27 2023  recovered 29 nontrivial dependencies
Tue Jan 03 13:20:27 2023  BLanczosTime: 494
Tue Jan 03 13:20:27 2023  elapsed time 00:08:14
Tue Jan 03 13:20:27 2023  
Tue Jan 03 13:20:27 2023  
Tue Jan 03 13:20:27 2023  Msieve v. 1.52 (SVN 927)
Tue Jan 03 13:20:27 2023  random seeds: 1cd2d140 30f5c5d5
Tue Jan 03 13:20:27 2023  factoring 29228003214416717871050074908762502388131650957507903995985237693370172767420027680111818888567786211367900280298730679489 (122 digits)
Tue Jan 03 13:20:28 2023  searching for 15-digit factors
Tue Jan 03 13:20:28 2023  commencing number field sieve (122-digit input)
Tue Jan 03 13:20:28 2023  R0: -284795009126269821446562
Tue Jan 03 13:20:28 2023  R1: 18020248160653
Tue Jan 03 13:20:28 2023  A0: 223416249625625910947135345375
Tue Jan 03 13:20:28 2023  A1: 8733911624339172250361819
Tue Jan 03 13:20:28 2023  A2: -56868255662493227112
Tue Jan 03 13:20:28 2023  A3: -1286798813637561
Tue Jan 03 13:20:28 2023  A4: 7196671003
Tue Jan 03 13:20:28 2023  A5: 15600
Tue Jan 03 13:20:28 2023  skew 133266.08, size 7.151e-012, alpha -5.361, combined = 1.792e-010 rroots = 3
Tue Jan 03 13:20:28 2023  
Tue Jan 03 13:20:28 2023  commencing square root phase
Tue Jan 03 13:20:28 2023  reading relations for dependency 1
Tue Jan 03 13:20:28 2023  read 413043 cycles
Tue Jan 03 13:20:28 2023  cycles contain 1432976 unique relations
Tue Jan 03 13:20:32 2023  read 1432976 relations
Tue Jan 03 13:20:35 2023  multiplying 1432976 relations
Tue Jan 03 13:21:08 2023  multiply complete, coefficients have about 64.80 million bits
Tue Jan 03 13:21:08 2023  initial square root is modulo 2006698051
Tue Jan 03 13:21:53 2023  sqrtTime: 85
Tue Jan 03 13:21:53 2023  prp56 factor: 97899783070788796630900067103863923090082154741260151109
Tue Jan 03 13:21:53 2023  prp66 factor: 298550234715869656438777772575974814248256667720588501919707391821
Tue Jan 03 13:21:53 2023  elapsed time 00:01:26
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 26, 2022 12:39:17 UTC 2022 年 12 月 26 日 (月) 21 時 39 分 17 秒 (日本時間)

9×10250-8

c217

composite cofactor 合成数の残り
3533201366111518431600577738499808474436404603993602857042956745396985099233699065974359743695490935046778494383713238558195023411173218702568798537214474079717821208234773502941919946580137933099337133633688647729729<217>

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 SantosSeptember 18, 2024 09:28:54 UTC 2024 年 9 月 18 日 (水) 18 時 28 分 54 秒 (日本時間)

9×10254-8

c213

composite cofactor 合成数の残り
230431705562292812133615627054458069393105682864424697480564076033120249557188238707992825561408314377677904257035502850220733262009475289767786126776192299747895436323758337077603852295514310545658239585860022567<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)
403e62200Thomas KozlowskiOctober 4, 2024 10:15:50 UTC 2024 年 10 月 4 日 (金) 19 時 15 分 50 秒 (日本時間)

9×10255-8

c231

composite cofactor 合成数の残り
199421356236526680136467908537611881350495388318104722131071519721586108936355355798636208835592156832086326379238770996644760506948732690215922426818952393840614229192775244839931281769191871717986948382630468994748494204220373211<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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:01:53 UTC 2023 年 1 月 29 日 (日) 20 時 1 分 53 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 10:18:38 UTC 2024 年 10 月 4 日 (金) 19 時 18 分 38 秒 (日本時間)

9×10257-8

c248

composite cofactor 合成数の残り
61682970368538953735287907695874920761850654673631568470036147520090539590776170737308371496664775199959206556961816951208280812774228881736726238326738421338440307516331091395685158010734820568452830162692222798193735550013715030266196905028286031<248>

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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:02:01 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 1 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 10:21:48 UTC 2024 年 10 月 4 日 (金) 19 時 21 分 48 秒 (日本時間)

9×10258-8

c255

name 名前Dmitry Domanov
date 日付January 19, 2023 21:49:59 UTC 2023 年 1 月 20 日 (金) 6 時 49 分 59 秒 (日本時間)
composite number 合成数
852918877937831690674753601213040181956027293404094010614101592115238817285822592873388931008339651250947687642153146322971948445792266868840030326004548900682335102350265352539802880970432145564821834723275208491281273692191053828658074298711144806671721<255>
prime factors 素因数
1175597645819838333627886853021151757793<40>
composite cofactor 合成数の残り
725519382392964124387108874082629122895863285273430101846009275597919174074036059314532835440683165755377730159977464897765980765893871072252218519713885223399635935107761509878375985352799817262401600550045588930697<216>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a1340af1335d with GMP-ECM 7.0.5-dev on Wed Jan 18 09:52:55 2023 
Input number is 852918877937831690674753601213040181956027293404094010614101592115238817285822592873388931008339651250947687642153146322971948445792266868840030326004548900682335102350265352539802880970432145564821834723275208491281273692191053828658074298711144806671721 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1542460864
Step 1 took 0ms
Step 2 took 6269ms
********** Factor found in step 2: 1175597645819838333627886853021151757793
Found prime factor of 40 digits: 1175597645819838333627886853021151757793
Composite cofactor 725519382392964124387108874082629122895863285273430101846009275597919174074036059314532835440683165755377730159977464897765980765893871072252218519713885223399635935107761509878375985352799817262401600550045588930697 has 216 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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:28:44 UTC 2023 年 1 月 18 日 (水) 17 時 28 分 44 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 10:24:34 UTC 2024 年 10 月 4 日 (金) 19 時 24 分 34 秒 (日本時間)

9×10259-8

c215

composite cofactor 合成数の残り
15378637809582654639707845219825893177917377367071747005164475208851996845730661315790666786611449396887708475659494331689221974934905880511390101551800677105863460346937962699680966027866587850116065550913743498249<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)
403e62204Thomas KozlowskiOctober 4, 2024 10:38:26 UTC 2024 年 10 月 4 日 (金) 19 時 38 分 26 秒 (日本時間)

9×10261-8

c241

composite cofactor 合成数の残り
3982117693041699869264586282745933857333128469751482467451425556345538308227369718304783955954056876938060075889897642977066273445541204376494717770432386838656158265132629278515676768772282441753425105887021707834790715569330455966614938971<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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:02:08 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 8 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 10:41:35 UTC 2024 年 10 月 4 日 (金) 19 時 41 分 35 秒 (日本時間)

9×10262-8

c188

composite cofactor 合成数の残り
22334324107154405291951532346404887799719291833142515438864260810652106416993860744593916914989764956754182614507608570269724538902203085996035377543185408224055591692129724192814664142119<188>

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)
403e62500dddSeptember 17, 2024 00:43:19 UTC 2024 年 9 月 17 日 (火) 9 時 43 分 19 秒 (日本時間)

9×10263-8

c230

composite cofactor 合成数の残り
13055144776954691268574045090399660277197555514267167436005320020516476447133124782054051744063737386624337218250873616812657333206744940970242277894840294307256033832207275658614059928179087337976392350320691894791425969433659679<230>

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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:02:16 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 16 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 10:44:27 UTC 2024 年 10 月 4 日 (金) 19 時 44 分 27 秒 (日本時間)

9×10264-8

c229

name 名前Thomas Kozlowski
date 日付October 4, 2024 10:49:13 UTC 2024 年 10 月 4 日 (金) 19 時 49 分 13 秒 (日本時間)
composite number 合成数
2933283327221816414798118954123957775252451142249020785015977675430007362879678536650662756115468620733907301915823498416218395343122935216769395172901427088567321371927647057269980052922964122082451916647826192637461122775413191<229>
prime factors 素因数
3486846562177404459794603048828645591<37>
composite cofactor 合成数の残り
841242444975867066355552521034433111442429678345626078643357238158768179043674684399476070643876525599173539494128312999550134334164186842020642967121281449601981130031530902322144461489043601<192>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 2933283327221816414798118954123957775252451142249020785015977675430007362879678536650662756115468620733907301915823498416218395343122935216769395172901427088567321371927647057269980052922964122082451916647826192637461122775413191 (229 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1471294879
Step 1 took 11375ms
Step 2 took 4447ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2945351879
Step 1 took 10115ms
Step 2 took 4439ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3289622721
Step 1 took 10112ms
Step 2 took 4427ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2160490080
Step 1 took 10112ms
Step 2 took 4529ms
Run 5 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:62010942
Step 1 took 10226ms
Step 2 took 4434ms
** Factor found in step 2: 3486846562177404459794603048828645591
Found prime factor of 37 digits: 3486846562177404459794603048828645591
Composite cofactor 841242444975867066355552521034433111442429678345626078643357238158768179043674684399476070643876525599173539494128312999550134334164186842020642967121281449601981130031530902322144461489043601 has 192 digits
execution environment 実行環境
2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

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)
403e62208Thomas KozlowskiOctober 7, 2024 03:00:00 UTC 2024 年 10 月 7 日 (月) 12 時 0 分 0 秒 (日本時間)

9×10267-8

c227

composite cofactor 合成数の残り
38672948848369489505713412676691081902648850946490416031839661661433579017137606383190877322456587261958527047636075748231446292328154830696445899482946979431205591816531293893336061353199733614834458418133231596127264053824691<227>

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)
403e62200Thomas KozlowskiOctober 4, 2024 10:59:34 UTC 2024 年 10 月 4 日 (金) 19 時 59 分 34 秒 (日本時間)

9×10268-8

c212

name 名前Thomas Kozlowski
date 日付October 4, 2024 11:04:24 UTC 2024 年 10 月 4 日 (金) 20 時 4 分 24 秒 (日本時間)
composite number 合成数
79136970128446564653295627337004324814466940975406087368409706371890737923463858548607827826534880188854520583765384546514146802936241436220199260979960384367631522429632327678681034671082144942996947310108936201<212>
prime factors 素因数
994862843436827836861101506310269535713<39>
79545608372569231250408540084272335253735837076597188551291629119463117726375673235077676858433216830471715834851119011657307712409617418027471382191681598256974033271355177<173>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 79136970128446564653295627337004324814466940975406087368409706371890737923463858548607827826534880188854520583765384546514146802936241436220199260979960384367631522429632327678681034671082144942996947310108936201 (212 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1392176057
Step 1 took 11374ms
Step 2 took 4162ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2242798590
Step 1 took 9388ms
Step 2 took 4157ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:940606255
Step 1 took 9197ms
Step 2 took 4150ms
Run 18 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:238809891
Step 1 took 9324ms
Step 2 took 4167ms
** Factor found in step 2: 994862843436827836861101506310269535713
Found prime factor of 39 digits: 994862843436827836861101506310269535713
Prime cofactor 79545608372569231250408540084272335253735837076597188551291629119463117726375673235077676858433216830471715834851119011657307712409617418027471382191681598256974033271355177 has 173 digits
execution environment 実行環境
2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

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)

9×10269-8

c240

composite cofactor 合成数の残り
293182113393230842653504016143544564228914236738409159721347052953194395968925629550630576500636355201699970500387012693600595912077047489992147441054919282547150418550129632071253281977300686961085988307797343623237829991665203431293518921<240>

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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:02:23 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 23 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 11:06:51 UTC 2024 年 10 月 4 日 (金) 20 時 6 分 51 秒 (日本時間)

9×10271-8

c227

composite cofactor 合成数の残り
29008371119932669522699656404862913913958543663403777242462942638777560054906679535200576272380745456817516209955117050990272776793104012021917295473809788659654734838195852218680866025148935028957819412558754258224947295135189<227>

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)
403e62204Thomas KozlowskiOctober 4, 2024 11:20:44 UTC 2024 年 10 月 4 日 (金) 20 時 20 分 44 秒 (日本時間)

9×10274-8

c226

composite cofactor 合成数の残り
3792177822298872240534104262691899885635814538136884598171260881929874796656828533732990548106245309552103460661494488751878717292482143259312618938188465310536433538933533899503826823158927619566929489210781802174593916053953<226>

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)
403e62200Thomas KozlowskiOctober 4, 2024 11:34:37 UTC 2024 年 10 月 4 日 (金) 20 時 34 分 37 秒 (日本時間)

9×10275-8

c273

composite cofactor 合成数の残り
191001697792869269949066213921901528013582342954159592529711375212224108658743633276740237691001697792869269949066213921901528013582342954159592529711375212224108658743633276740237691001697792869269949066213921901528013582342954159592529711375212224108658743633276740237691<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)
403e621921792Dmitry DomanovJanuary 13, 2023 12:39:40 UTC 2023 年 1 月 13 日 (金) 21 時 39 分 40 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 11:38:26 UTC 2024 年 10 月 4 日 (金) 20 時 38 分 26 秒 (日本時間)

9×10276-8

c232

name 名前Dmitry Domanov
date 日付January 29, 2023 18:59:20 UTC 2023 年 1 月 30 日 (月) 3 時 59 分 20 秒 (日本時間)
composite number 合成数
2259716074316642197292190195214880513155901700765095709877144965000528033643760636350130313284454290189067578223954437131360151819509800424826279184331992774666865298641239870689302232037736597948902554530164427232073111256950983471<232>
prime factors 素因数
16945272926639982268837057956619623247<38>
composite cofactor 合成数の残り
133353772706965377754176230190078198990531673145059814593638579046321493280705143486823249915410011016946572682133463476087769501426424170945952710021722901667709079213454508891373227174892034593<195>
factorization results 素因数分解の結果
GPU: factor 16945272926639982268837057956619623247 found in Step 1 with curve 711 (-sigma 3:-1953728642)
Computing 1792 Step 1 took 283ms of CPU time / 267611ms of GPU time
Throughput: 6.696 curves per second (on average 149.34ms per Step 1)
********** Factor found in step 1: 16945272926639982268837057956619623247
Found prime factor of 38 digits: 16945272926639982268837057956619623247
Composite cofactor 133353772706965377754176230190078198990531673145059814593638579046321493280705143486823249915410011016946572682133463476087769501426424170945952710021722901667709079213454508891373227174892034593 has 195 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e642921792Dmitry DomanovJanuary 29, 2023 11:02:30 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 30 秒 (日本時間)
2500cccSeptember 16, 2024 02:02:53 UTC 2024 年 9 月 16 日 (月) 11 時 2 分 53 秒 (日本時間)

9×10277-8

c270

composite cofactor 合成数の残り
593500958754637682436259711588077204081872745059051762726863103701921344610449446933602119806055492919955607183397968665154092104701587981716372064221129699795608820933058420172195466612827776731164482117130289392650157984679656406732062910679582865368818113796976985721<270>

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)
403e621921792Dmitry DomanovJanuary 13, 2023 12:39:49 UTC 2023 年 1 月 13 日 (金) 21 時 39 分 49 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 11:42:19 UTC 2024 年 10 月 4 日 (金) 20 時 42 分 19 秒 (日本時間)

9×10278-8

c263

composite cofactor 合成数の残り
36038764017078139164601232000583142502850365730492351475888088897363973975138388938479891929385598013654464811119401758655540823035513702963163459468627425661685541460044920732662243256754151799948873539309551419457501994969256894851010391708901217402100886767737<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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:28:51 UTC 2023 年 1 月 18 日 (水) 17 時 28 分 51 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 11:45:48 UTC 2024 年 10 月 4 日 (金) 20 時 45 分 48 秒 (日本時間)

9×10279-8

c278

name 名前Dmitry Domanov
date 日付January 14, 2023 11:39:56 UTC 2023 年 1 月 14 日 (土) 20 時 39 分 56 秒 (日本時間)
composite number 合成数
15845070422535211267605633802816901408450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169<278>
prime factors 素因数
25297558390427510858874315561340669181<38>
composite cofactor 合成数の残り
626347814994308657281583845458390617768479943977033857128075147015970193180262082146406277800078210478289881280628840264242378917612632723545192727819506117803744444864944499082293488804120553194606568262842823341105912767988155255234964349<240>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1498b1fa0be1 with GMP-ECM 7.0.5-dev on Fri Jan 13 14:31:50 2023 
Input number is 15845070422535211267605633802816901408450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169 (278 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:77502544
Step 1 took 0ms
Step 2 took 4304ms
********** Factor found in step 2: 25297558390427510858874315561340669181
Found prime factor of 38 digits: 25297558390427510858874315561340669181
Composite cofactor 626347814994308657281583845458390617768479943977033857128075147015970193180262082146406277800078210478289881280628840264242378917612632723545192727819506117803744444864944499082293488804120553194606568262842823341105912767988155255234964349 has 240 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)
403e621921792Dmitry DomanovJanuary 13, 2023 12:39:57 UTC 2023 年 1 月 13 日 (金) 21 時 39 分 57 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 11:48:57 UTC 2024 年 10 月 4 日 (金) 20 時 48 分 57 秒 (日本時間)

9×10280-8

c215

composite cofactor 合成数の残り
99190635875366130815504406935768429465818549135114535095337143703891800254974345297577445912673056984807017303714037909060753438701683087281682948650780916164962698917897775823450125592263232066073376997023841372071<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)
403e62200Thomas KozlowskiOctober 4, 2024 12:02:47 UTC 2024 年 10 月 4 日 (金) 21 時 2 分 47 秒 (日本時間)

9×10281-8

c243

name 名前Dmitry Domanov
date 日付January 30, 2023 05:00:39 UTC 2023 年 1 月 30 日 (月) 14 時 0 分 39 秒 (日本時間)
composite number 合成数
272346265435741315228214548731629567603849309214248095833793407030411920242272170827258001986794895507208331706676978456455374016205026644340965327014942082275197150871148877486665502189025280578050349806318994096194825221520680273575000666201<243>
prime factors 素因数
40986643369786809523419022546680927019<38>
6644756511983623655194892112950868326824427297782259284701811634225085868795988094630596850131169709563518579383216544165188881723305994779603883532619443430240627510944316820266877487501623727499103754379<205>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b8400992c270 with GMP-ECM 7.0.5-dev on Sun Jan 29 18:51:28 2023 
Input number is 272346265435741315228214548731629567603849309214248095833793407030411920242272170827258001986794895507208331706676978456455374016205026644340965327014942082275197150871148877486665502189025280578050349806318994096194825221520680273575000666201 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3075768295
Step 1 took 0ms
Step 2 took 6102ms
********** Factor found in step 2: 40986643369786809523419022546680927019
Found prime factor of 38 digits: 40986643369786809523419022546680927019
Prime cofactor 6644756511983623655194892112950868326824427297782259284701811634225085868795988094630596850131169709563518579383216544165188881723305994779603883532619443430240627510944316820266877487501623727499103754379 has 205 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)
403e61792 / 2078Dmitry DomanovJanuary 29, 2023 11:02:38 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 38 秒 (日本時間)

9×10283-8

c266

composite cofactor 合成数の残り
12180599469886193773254691936298815420707678682834706846641752740287794876835804980019895920337914981237232548003123338643606706797872294807272272813398354805617526799045273019318595602678646687497112943468515022654601315839371699470243824379571911904014123876672379<266>

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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:28:59 UTC 2023 年 1 月 18 日 (水) 17 時 28 分 59 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:06:16 UTC 2024 年 10 月 4 日 (金) 21 時 6 分 16 秒 (日本時間)

9×10285-8

c228

composite cofactor 合成数の残り
537354970279618635424842264532650346398549366038575100459419048961407342450034936139683044441160697815498901382457938215904264898397782807812858471990331553495807625627315023953316451687539790106901884488364159704498930736855279<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)
403e62201Thomas KozlowskiOctober 4, 2024 12:20:09 UTC 2024 年 10 月 4 日 (金) 21 時 20 分 9 秒 (日本時間)

9×10286-8

c245

composite cofactor 合成数の残り
12778148938772630344044736579216718209690826494640795667042373856888448670010044643760858424204102771639781457675835825313320035107663958645619980868712836255932020249322610242019584337166998552373984195907738981006709673010910141640646316886233<245>

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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:02:45 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 45 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:23:17 UTC 2024 年 10 月 4 日 (金) 21 時 23 分 17 秒 (日本時間)

9×10288-8

c238

composite cofactor 合成数の残り
5567217110783848213301630789443389204003191525087870115245293164869150592712801055078071166823912905792019596935881892575714163483448095099805242801775397836600684419430595380394170078196402533501212238155393196485737648639696948374408201<238>

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)
403e621921792Dmitry DomanovJanuary 29, 2023 11:02:55 UTC 2023 年 1 月 29 日 (日) 20 時 2 分 55 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:26:24 UTC 2024 年 10 月 4 日 (金) 21 時 26 分 24 秒 (日本時間)

9×10289-8

c224

name 名前Thomas Kozlowski
date 日付October 4, 2024 20:25:16 UTC 2024 年 10 月 5 日 (土) 5 時 25 分 16 秒 (日本時間)
composite number 合成数
13302066159355144617545343416877928061856061892156821002928064923620836207579888310040212236578371714142054475064838360607420132187308602541496479177491665533841043916847978134594244225994722769158732937153389133948547470609<224>
prime factors 素因数
15494783690671526346622715005225081<35>
858486728495830209368637653600135430396139786241705513316408867252551990930785209264153918146441292062725526319155842126378521959566489273278722799399540962936152351888017544844308736326489<189>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 13302066159355144617545343416877928061856061892156821002928064923620836207579888310040212236578371714142054475064838360607420132187308602541496479177491665533841043916847978134594244225994722769158732937153389133948547470609 (224 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1792780155
Step 1 took 11389ms
Step 2 took 4462ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4272003980
Step 1 took 10205ms
Step 2 took 4430ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1641996683
Step 1 took 10165ms
Step 2 took 4476ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4274808193
Step 1 took 10301ms
Step 2 took 4479ms
Run 5 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3976204574
Step 1 took 10221ms
Step 2 took 4451ms
** Factor found in step 2: 15494783690671526346622715005225081
Found prime factor of 35 digits: 15494783690671526346622715005225081
Prime cofactor 858486728495830209368637653600135430396139786241705513316408867252551990930785209264153918146441292062725526319155842126378521959566489273278722799399540962936152351888017544844308736326489 has 189 digits
execution environment 実行環境
2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

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)

9×10290-8

c252

composite cofactor 合成数の残り
304908010442821607329515235229662137314194908175619571592888923602949293473329976739893851966618165232362521954213319985571484881653036964522854644868047415752304613744764669579958454700008743905988158006339632037503742551950258890403760189228565093553<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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:29:07 UTC 2023 年 1 月 18 日 (水) 17 時 29 分 7 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:31:10 UTC 2024 年 10 月 4 日 (金) 21 時 31 分 10 秒 (日本時間)

9×10292-8

c262

composite cofactor 合成数の残り
1612305951652897838972696586145806700634050553800431438477473795956429750516424384099374416747845471276617633787618622250422424386542353167674774007414499863140197684665942910211583436364129401969844226159842723798862899789067798632194942382754669663428252729857<262>

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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:29:15 UTC 2023 年 1 月 18 日 (水) 17 時 29 分 15 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:34:40 UTC 2024 年 10 月 4 日 (金) 21 時 34 分 40 秒 (日本時間)

9×10293-8

c258

composite cofactor 合成数の残り
405045904063186372140726385447771066691325552013694404254887504131567891074173638922351709753665589634990466972683860490101247364745137363575757617576020282498383781110348900599494211540201582538986136553360689860329913104321451144939473723453054168468929071<258>

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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:29:23 UTC 2023 年 1 月 18 日 (水) 17 時 29 分 23 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:38:09 UTC 2024 年 10 月 4 日 (金) 21 時 38 分 9 秒 (日本時間)

9×10295-8

c214

composite cofactor 合成数の残り
8756675312723113448303301948111429184647922271848216030702962341810136289875674257958055421657078175478149820103051122010384072001394044357271434595964940604884513449720000889874200595546062887356964646463593920301<214>

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)
403e62203Thomas KozlowskiOctober 4, 2024 12:52:01 UTC 2024 年 10 月 4 日 (金) 21 時 52 分 1 秒 (日本時間)

9×10296-8

c267

composite cofactor 合成数の残り
180243483729634241237086099543790463927789295389287988593977346584456051799662447344395992006907885430015235784334171860239782285760505530059390148699910474964516037171098946790472446135294159064288810210310881675580179664287652600142176681889698115362603939693475897<267>

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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:29:31 UTC 2023 年 1 月 18 日 (水) 17 時 29 分 31 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:55:34 UTC 2024 年 10 月 4 日 (金) 21 時 55 分 34 秒 (日本時間)

9×10297-8

c263

composite cofactor 合成数の残り
10538061712258789816751772017763871560702511777391805116015443340142452702237953686594877897968696852052017922192828393752487517028337444261586867274276389388994641183869284647582131225155001060972525024057064775659338273413697829025267744206150897113831489145809<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)
403e621921792Dmitry DomanovJanuary 18, 2023 08:29:38 UTC 2023 年 1 月 18 日 (水) 17 時 29 分 38 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 12:59:04 UTC 2024 年 10 月 4 日 (金) 21 時 59 分 4 秒 (日本時間)

9×10298-8

c282

composite cofactor 合成数の残り
641487509921129549575202696436974461900121595191350706579991961906914477611426303114284729804590730014124651603079637407481778667852046736465170593006985435356821105996556904586611189116129780649843590902501590328439250176196472239708220673668561503814393117622022038364884024871607<282>

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)
403e621921792Dmitry DomanovJanuary 13, 2023 12:40:05 UTC 2023 年 1 月 13 日 (金) 21 時 40 分 5 秒 (日本時間)
400Thomas KozlowskiOctober 4, 2024 13:02:57 UTC 2024 年 10 月 4 日 (金) 22 時 2 分 57 秒 (日本時間)