Table of contents 目次

71×10113-629

c111

name 名前Dmitry Domanov
date 日付November 26, 2022 00:36:19 UTC 2022 年 11 月 26 日 (土) 9 時 36 分 19 秒 (日本時間)
composite number 合成数
342697171541654599864851819673713678926537310551211506902210638092479969108987353991698040351385268848344434791<111>
prime factors 素因数
9407228916580200613041578413963336209157989636187<49>
36429130680306110657801541455192664544493660930417292930936293<62>
factorization results 素因数分解の結果
N=342697171541654599864851819673713678926537310551211506902210638092479969108987353991698040351385268848344434791
  ( 111 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=9407228916580200613041578413963336209157989636187 (pp49)
 r2=36429130680306110657801541455192664544493660930417292930936293 (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: 342697171541654599864851819673713678926537310551211506902210638092479969108987353991698040351385268848344434791
m: 10000000000000000000000000000
deg: 4
c4: 355
c0: -31
skew: 0.54
# Murphy_E = 6.703e-08
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64981 x 65206
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,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10120-629

c115

name 名前Dmitry Domanov
date 日付November 26, 2022 01:27:17 UTC 2022 年 11 月 26 日 (土) 10 時 27 分 17 秒 (日本時間)
composite number 合成数
1114335149511288701605248436940919614028205109612754096272467311606183536774833453194988781470119448252802529358729<115>
prime factors 素因数
2241133396659544648815412939264819<34>
497219465459855323968560777884569283735802204879820177834087882897237824461495891<81>
factorization results 素因数分解の結果
N=1114335149511288701605248436940919614028205109612754096272467311606183536774833453194988781470119448252802529358729
  ( 115 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2241133396659544648815412939264819 (pp34)
 r2=497219465459855323968560777884569283735802204879820177834087882897237824461495891 (pp81)
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: 1114335149511288701605248436940919614028205109612754096272467311606183536774833453194988781470119448252802529358729
m: 1000000000000000000000000000000
deg: 4
c4: 71
c0: -62
skew: 0.97
# Murphy_E = 2.702e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72476 x 72701
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10122-629

c113

name 名前Dmitry Domanov
date 日付November 26, 2022 08:41:06 UTC 2022 年 11 月 26 日 (土) 17 時 41 分 6 秒 (日本時間)
composite number 合成数
84033224238970580631488295949071518729259650001837400650783554670112668743877876769102934798216935639156252977829<113>
prime factors 素因数
11915496163203497273245039727235279679623224973694430903<56>
7052431815510579170104284646638979669191022728153792583043<58>
factorization results 素因数分解の結果
N=84033224238970580631488295949071518729259650001837400650783554670112668743877876769102934798216935639156252977829
  ( 113 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=11915496163203497273245039727235279679623224973694430903 (pp56)
 r2=7052431815510579170104284646638979669191022728153792583043 (pp58)
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: 84033224238970580631488295949071518729259650001837400650783554670112668743877876769102934798216935639156252977829
m: 1000000000000000000000000000000
deg: 4
c4: 3550
c0: -31
skew: 0.31
# Murphy_E = 2.093e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93444 x 93669
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,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10133-629

c131

name 名前Bob Backstrom
date 日付November 26, 2022 09:31:15 UTC 2022 年 11 月 26 日 (土) 18 時 31 分 15 秒 (日本時間)
composite number 合成数
41476808038322233905830120341161350625073022549363243369552517817502044631382170814347470498890057249678700782801729173968921602991<131>
prime factors 素因数
216725583878411304959393795997149949236143382669<48>
191379380763794841455262746177084561052438041104862255052551995312378007174895748139<84>
factorization results 素因数分解の結果
Number: n
N=41476808038322233905830120341161350625073022549363243369552517817502044631382170814347470498890057249678700782801729173968921602991  ( 131 digits)
SNFS difficulty: 134 digits.
Divisors found:

Sat Nov 26 20:24:07 2022  p48 factor: 216725583878411304959393795997149949236143382669
Sat Nov 26 20:24:07 2022  p84 factor: 191379380763794841455262746177084561052438041104862255052551995312378007174895748139
Sat Nov 26 20:24:07 2022  elapsed time 00:02:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 71x10^133-62 = 78(132)2
#
n: 41476808038322233905830120341161350625073022549363243369552517817502044631382170814347470498890057249678700782801729173968921602991
m: 1000000000000000000000000000000000
deg: 4
c4: 355
c0: -31
skew: 0.54
# Murphy_E = 7.4e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 20610000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 387325 hash collisions in 5740037 relations (5994461 unique)
Msieve: matrix is 212252 x 212477 (69.8 MB)

Sieving start time : 2022/11/26 19:52:50
Sieving end time  : 2022/11/26 20:20:52

Total sieving time: 0hrs 28min 2secs.

Total relation processing time: 0hrs 1min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,134,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10140-629

c111

name 名前anonymous
date 日付November 27, 2022 05:14:07 UTC 2022 年 11 月 27 日 (日) 14 時 14 分 7 秒 (日本時間)
composite number 合成数
268692527507062634154952612836878431573089530824713232062236460057549565218089067613393397225445708887156336929<111>
prime factors 素因数
165647344376176044892077593190523249<36>
1622075672380697050012009687342880327957590117820914523467237715991181126321<76>
factorization results 素因数分解の結果
p36:165647344376176044892077593190523249
p76:1622075672380697050012009687342880327957590117820914523467237715991181126321
software ソフトウェア
ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10141-629

c141

name 名前Bob Backstrom
date 日付November 26, 2022 00:24:57 UTC 2022 年 11 月 26 日 (土) 9 時 24 分 57 秒 (日本時間)
composite number 合成数
563492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063<141>
prime factors 素因数
90832865464892192810585929938522752343537013<44>
6203614304228448974053731338443790066630658650260986378717370367502714631817790876187234639038851<97>
factorization results 素因数分解の結果
Number: n
N=563492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063  ( 141 digits)
SNFS difficulty: 142 digits.
Divisors found:

Sat Nov 26 11:15:59 2022  p44 factor: 90832865464892192810585929938522752343537013
Sat Nov 26 11:15:59 2022  p97 factor: 6203614304228448974053731338443790066630658650260986378717370367502714631817790876187234639038851
Sat Nov 26 11:15:59 2022  elapsed time 00:03:49 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 71x10^141-62 = 78(140)2
#
n: 563492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063
m: 100000000000000000000000000000000000
deg: 4
c4: 355
c0: -31
skew: 0.54
# Murphy_E = 2.962e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6430000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 558667 hash collisions in 7066156 relations (7271259 unique)
Msieve: matrix is 246869 x 247094 (81.9 MB)

Sieving start time : 2022/11/26 10:49:49
Sieving end time  : 2022/11/26 11:11:57

Total sieving time: 0hrs 22min 8secs.

Total relation processing time: 0hrs 1min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10142-629

c126

name 名前Eric Jeancolas
date 日付December 4, 2022 12:29:58 UTC 2022 年 12 月 4 日 (日) 21 時 29 分 58 秒 (日本時間)
composite number 合成数
954435274879171521286112185015586161194682357977173420520425674751398042326374278787980566937746551699286876083701266672290353<126>
prime factors 素因数
1198565293392551541441982253055636060122387157479<49>
796314794146618862065449582406412839464530723527471585765730210231298220372007<78>
factorization results 素因数分解の結果
954435274879171521286112185015586161194682357977173420520425674751398042326374278787980566937746551699286876083701266672290353=1198565293392551541441982253055636060122387157479*796314794146618862065449582406412839464530723527471585765730210231298220372007

cado polynomial
n: 954435274879171521286112185015586161194682357977173420520425674751398042326374278787980566937746551699286876083701266672290353
skew: 0.31
type: snfs
c0: -31
c4: 3550
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 3550*x^4-31
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1730000
tasks.lim1 = 1730000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1198565293392551541441982253055636060122387157479 796314794146618862065449582406412839464530723527471585765730210231298220372007
Info:Square Root: Total cpu/real time for sqrt: 39.3/8.56243
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: 1.19/0.287189
Info:Generate Free Relations: Total cpu/real time for freerel: 30.73/4.13352
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6036364
Info:Lattice Sieving: Average J: 1894.31 for 191998 special-q, max bucket fill -bkmult 1.0,1s:1.152570
Info:Lattice Sieving: Total time: 15926.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.5/8.78029
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 54.69/17.5907
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 16.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.38/16.5976
Info:Filtering - Merging: Merged matrix has 232300 rows and total weight 39711272 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.56/6.6743
Info:Filtering - Merging: Total cpu/real time for replay: 6.64/5.50014
Info:Linear Algebra: Total cpu/real time for bwc: 534.87/141.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 82.83, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 19.32, WCT time 5.28
Info:Linear Algebra: Mksol: WCT time 48.88, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.17/2.03461
Info:Square Root: Total cpu/real time for sqrt: 39.3/8.56243
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39455/8309.4
Info:root: Cleaning up computation data in /tmp/cado.x7s0c19k
1198565293392551541441982253055636060122387157479 796314794146618862065449582406412839464530723527471585765730210231298220372007
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10147-629

c102

name 名前Ignacio Santos
date 日付November 26, 2022 08:44:54 UTC 2022 年 11 月 26 日 (土) 17 時 44 分 54 秒 (日本時間)
composite number 合成数
877240648520874076118257319088768045156970419855072109615771279092050039462203057652978499449794616881<102>
prime factors 素因数
13832999960164145653824660533344292646043<41>
63416514931477273770739505930337752265083435077003422746124067<62>
factorization results 素因数分解の結果
Number: 1
N=877240648520874076118257319088768045156970419855072109615771279092050039462203057652978499449794616881
  ( 102 digits)
Divisors found:
 r1=13832999960164145653824660533344292646043 (pp41)
 r2=63416514931477273770739505930337752265083435077003422746124067 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.44 hours.
Scaled time: 35.01 units (timescale=7.893).
Factorization parameters were as follows:
name: 1
n: 877240648520874076118257319088768045156970419855072109615771279092050039462203057652978499449794616881
skew: 4640.93
# norm 3.79e+013
c5: 35700
c4: -1088535001
c3: 51155696781
c2: 21532697044549157
c1: 9337579238156007614
c0: -68516122401413045782936
# alpha -4.63
Y1: 33872000459
Y0: -30067207160735567355
# Murphy_E 2.60e-009
# M 609245038541570703044758847512808062189854675577566928964668696897813308031215121602035438028780332055
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 algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247156 x 247384
Total sieving time: 4.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.44 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10150-629

c105

name 名前Ignacio Santos
date 日付November 26, 2022 09:27:25 UTC 2022 年 11 月 26 日 (土) 18 時 27 分 25 秒 (日本時間)
composite number 合成数
120120954095186073518877118740518758970989064368012957621589128165845382744141336198289525411626659344497<105>
prime factors 素因数
2920433872041792394748192980220273<34>
41131201512604255299773789740923141215730572901260241771464186655647489<71>
factorization results 素因数分解の結果
Number: 1
N=120120954095186073518877118740518758970989064368012957621589128165845382744141336198289525411626659344497
  ( 105 digits)
Divisors found:
 r1=2920433872041792394748192980220273 (pp34)
 r2=41131201512604255299773789740923141215730572901260241771464186655647489 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.30 hours.
Scaled time: 41.67 units (timescale=7.855).
Factorization parameters were as follows:
name: 1
n: 120120954095186073518877118740518758970989064368012957621589128165845382744141336198289525411626659344497
skew: 24618.79
# norm 4.87e+014
c5: 12000
c4: 116060050
c3: -37846890942845
c2: -13127635515981738
c1: 7506489171907904023800
c0: 1516071974154016471129152
# alpha -5.94
Y1: 75490142453
Y0: -100020004906261791323
# Murphy_E 1.86e-009
# M 69292292163633172424621915694264011908647794696223965329368675843318224148548353667836868544081592370302
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282378 x 282603
Total sieving time: 5.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 5.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10151-629

c127

name 名前Bob Backstrom
date 日付November 30, 2022 03:01:04 UTC 2022 年 11 月 30 日 (水) 12 時 1 分 4 秒 (日本時間)
composite number 合成数
2056814422737571422276898962640628266536320883844130696378490798761156130812677340188955240576779667037111425927265612246892591<127>
prime factors 素因数
5279260639684629544690768205291361461017891<43>
389602742337881733476550239788855563722539455409057120535262086024905309812202061701<84>
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 2056814422737571422276898962640628266536320883844130696378490798761156130812677340188955240576779667037111425927265612246892591 (127 digits)
Using B1=31600000, B2=144290666536, polynomial Dickson(12), sigma=1:107387196
Step 1 took 49075ms
Step 2 took 18707ms
********** Factor found in step 2: 5279260639684629544690768205291361461017891
Found prime factor of 43 digits: 5279260639684629544690768205291361461017891
Prime cofactor 389602742337881733476550239788855563722539455409057120535262086024905309812202061701 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10153-629

c134

name 名前Bob Backstrom
date 日付November 28, 2022 23:57:13 UTC 2022 年 11 月 29 日 (火) 8 時 57 分 13 秒 (日本時間)
composite number 合成数
31764483013589082883772035543890198753860201193227238251159070794118703532514638416740474000210246209424953523798379746560947923793991<134>
prime factors 素因数
672427908233533431456434929911653128383161<42>
47238495940827778417949975815035551837048829629862572140955757587622793238854569461122956031<92>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 31764483013589082883772035543890198753860201193227238251159070794118703532514638416740474000210246209424953523798379746560947923793991 (134 digits)
Using B1=27020000, B2=144286522396, polynomial Dickson(12), sigma=1:1035891872
Step 1 took 41991ms
Step 2 took 19548ms
********** Factor found in step 2: 672427908233533431456434929911653128383161
Found prime factor of 42 digits: 672427908233533431456434929911653128383161
Prime cofactor 47238495940827778417949975815035551837048829629862572140955757587622793238854569461122956031 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10157-629

c130

name 名前Eric Jeancolas
date 日付December 5, 2022 09:00:17 UTC 2022 年 12 月 5 日 (月) 18 時 0 分 17 秒 (日本時間)
composite number 合成数
3596585027626035280398634224031559319782204372284477055995867673259488749699648129951190132037619147171381482479604193069682956127<130>
prime factors 素因数
142021328187285398574472056352142646184837373167<48>
25324259908928405244538020576914639153838779686698510483624799132389692010105588881<83>
factorization results 素因数分解の結果
3596585027626035280398634224031559319782204372284477055995867673259488749699648129951190132037619147171381482479604193069682956127=142021328187285398574472056352142646184837373167*25324259908928405244538020576914639153838779686698510483624799132389692010105588881

cado polynomial
n: 3596585027626035280398634224031559319782204372284477055995867673259488749699648129951190132037619147171381482479604193069682956127
skew: 0.39
type: snfs
c0: -31
c5: 3550
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 3550*x^5-31
# g(x) = -x+10000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 142021328187285398574472056352142646184837373167 25324259908928405244538020576914639153838779686698510483624799132389692010105588881
Info:Square Root: Total cpu/real time for sqrt: 332.35/57.5217
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: 1.61/0.401371
Info:Generate Free Relations: Total cpu/real time for freerel: 49.92/6.52659
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11644941
Info:Lattice Sieving: Average J: 1894.23 for 351338 special-q, max bucket fill -bkmult 1.0,1s:1.159040
Info:Lattice Sieving: Total time: 41768s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.61/20.6512
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 120.22/36.8413
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.93/32.8535
Info:Filtering - Merging: Merged matrix has 395855 rows and total weight 67759779 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 79.28/11.4077
Info:Filtering - Merging: Total cpu/real time for replay: 11.63/9.55399
Info:Linear Algebra: Total cpu/real time for bwc: 1513.1/403.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 249.55, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12416 iterations)
Info:Linear Algebra: Lingen CPU time 34.84, WCT time 9.45
Info:Linear Algebra: Mksol: WCT time 135.9, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 14.83/3.70449
Info:Square Root: Total cpu/real time for sqrt: 332.35/57.5217
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 91207.3/21627
Info:root: Cleaning up computation data in /tmp/cado.pi463xg9
142021328187285398574472056352142646184837373167 25324259908928405244538020576914639153838779686698510483624799132389692010105588881
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10158-629

c109

name 名前Ignacio Santos
date 日付November 26, 2022 12:02:49 UTC 2022 年 11 月 26 日 (土) 21 時 2 分 49 秒 (日本時間)
composite number 合成数
3850661069866229143012252949716201636596297046261748438883239283042482072423398311247143278890669205459939891<109>
prime factors 素因数
199567755828812354696936169145534344637<39>
19295006118970921367814013366608905097187815441100900507168704647546543<71>
factorization results 素因数分解の結果
Number: 1
N=3850661069866229143012252949716201636596297046261748438883239283042482072423398311247143278890669205459939891
  ( 109 digits)
Divisors found:
 r1=199567755828812354696936169145534344637 (pp39)
 r2=19295006118970921367814013366608905097187815441100900507168704647546543 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.79 hours.
Scaled time: 68.06 units (timescale=7.746).
Factorization parameters were as follows:
name: 1
n: 3850661069866229143012252949716201636596297046261748438883239283042482072423398311247143278890669205459939891
skew: 10672.15
# norm 4.44e+014
c5: 17100
c4: -3574372430
c3: -5082886565520
c2: 258678270812700735
c1: 682651797488564085838
c0: -11493478606784030780616
# alpha -4.79
Y1: 239300514433
Y0: -742187594455473428113
# Murphy_E 1.10e-009
# M 2323343372199573298460891824130924558177618405082620909318300765752950049523660611515708859378378767909828237
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 469268 x 469512
Total sieving time: 8.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.79 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10161-629

c127

name 名前Eric Jeancolas
date 日付December 4, 2022 22:14:47 UTC 2022 年 12 月 5 日 (月) 7 時 14 分 47 秒 (日本時間)
composite number 合成数
1376966605845235111051560309807400070640227820711036503295774468220406493827325962605420934865298958919915558064389549491307259<127>
prime factors 素因数
21416884023376403763042086977124817640703933<44>
64293508072522786555031154199443833481574941933760732512473770479049866167263929623<83>
factorization results 素因数分解の結果
1376966605845235111051560309807400070640227820711036503295774468220406493827325962605420934865298958919915558064389549491307259=21416884023376403763042086977124817640703933*64293508072522786555031154199443833481574941933760732512473770479049866167263929623

cado polynomial
n: 1376966605845235111051560309807400070640227820711036503295774468220406493827325962605420934865298958919915558064389549491307259
skew: 59360.881
c0: 29140784753301975710878576512
c1: 2884008366540868680193660
c2: -37788792236698870286
c3: -1445166517512986
c4: 13293511275
c5: 56700
Y0: -2526703410219154262174633
Y1: 2128822402148530189
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.440e-07
# f(x) = 56700*x^5+13293511275*x^4-1445166517512986*x^3-37788792236698870286*x^2+2884008366540868680193660*x+29140784753301975710878576512
# g(x) = 2128822402148530189*x-2526703410219154262174633

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

cado log (extracts)
Info:Square Root: Factors: 64293508072522786555031154199443833481574941933760732512473770479049866167263929623 21416884023376403763042086977124817640703933
Info:Square Root: Total cpu/real time for sqrt: 560.01/152.862
Info:Square Root: Total cpu/real time for sqrt: 560.01/152.862
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.53/83.406
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 331.13/324.576
Info:Filtering - Merging: Merged matrix has 809991 rows and total weight 138011650 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 168.14/48.7695
Info:Filtering - Merging: Total cpu/real time for replay: 30.04/25.3879
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/3.34621
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19246102
Info:Lattice Sieving: Average J: 3792.05 for 233099 special-q, max bucket fill -bkmult 1.0,1s:1.192690
Info:Lattice Sieving: Total time: 69934s
Info:Generate Free Relations: Total cpu/real time for freerel: 126.61/33.5488
Info:Linear Algebra: Total cpu/real time for bwc: 9919.37/2655.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6227.6, WCT time 1656.5, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 151.91, WCT time 39.74
Info:Linear Algebra: Mksol: CPU time 3411.92,  WCT time 910.94, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.1/12.2347
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 437.28/486.459
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 355.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 139001/38260.2
Info:root: Cleaning up computation data in /tmp/cado.hyggfy9x
64293508072522786555031154199443833481574941933760732512473770479049866167263929623 21416884023376403763042086977124817640703933
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10162-629

c152

name 名前Bob Backstrom
date 日付December 4, 2022 09:07:16 UTC 2022 年 12 月 4 日 (日) 18 時 7 分 16 秒 (日本時間)
composite number 合成数
63632683568548069587644024597545519233474845835875905389322662884519661220446828835262994992224426628253414805980922854080033624625057333316093579527431<152>
prime factors 素因数
22978445451497667486981956668291712177<38>
860643476808908108632260297744446209727532385918689095641<57>
3217631562646433825385213153090896300953931602151145693583<58>
factorization results 素因数分解の結果
Number: n
N=2769233615166106828099297835547386256792720932808840917398752165966102438633560470978913722965525432884797966971703  ( 115 digits)
Divisors found:

Sun Dec  4 20:03:01 2022  p57 factor: 860643476808908108632260297744446209727532385918689095641
Sun Dec  4 20:03:01 2022  p58 factor: 3217631562646433825385213153090896300953931602151145693583
Sun Dec  4 20:03:01 2022  elapsed time 00:04:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 71x10^162-62 = 78(161)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 63632683568548069587644024597545519233474845835875905389322662884519661220446828835262994992224426628253414805980922854080033624625057333316093579527431 (152 digits)
# Using B1=28400000, B2=144287903776, polynomial Dickson(12), sigma=1:3082734216
# Step 1 took 54931ms
# Step 2 took 22851ms
# ********** Factor found in step 2: 22978445451497667486981956668291712177
# Found prime factor of 38 digits: 22978445451497667486981956668291712177
# Composite cofactor 2769233615166106828099297835547386256792720932808840917398752165966102438633560470978913722965525432884797966971703 has 115 digits
#

n: 2769233615166106828099297835547386256792720932808840917398752165966102438633560470978913722965525432884797966971703

Y0: -27763484783556112668361
Y1: 29582772624383
c0: -87665997400417092872706600
c1: 14213194490294290766420
c2: 2065587343530909958
c3: 14883406930257
c4: -115991088
c5: 168

# skew 113553.54, size 6.618e-11, alpha -5.040, combined = 6.303e-10 rroots = 3

skew: 113553.54

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 768988 hash collisions in 7138051 relations (6651909 unique)
Msieve: matrix is 351685 x 351910 (122.0 MB)

Sieving start time : 2022/12/04 19:33:12
Sieving end time  : 2022/12/04 19:58:12

Total sieving time: 0hrs 25min 0secs.

Total relation processing time: 0hrs 2min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10163-629

c145

name 名前Bob Backstrom
date 日付December 1, 2022 09:07:32 UTC 2022 年 12 月 1 日 (木) 18 時 7 分 32 秒 (日本時間)
composite number 合成数
1555885530558442233248138211896169624999637291012051430270731562029656784716009529482484627434117636519551084224233966240016739527477445251184699<145>
prime factors 素因数
945579600675714035726842017587117225233<39>
1645430516316766709602908527338813497114136034524124378716287192121498227789444591902994768605097377573003<106>
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 1555885530558442233248138211896169624999637291012051430270731562029656784716009529482484627434117636519551084224233966240016739527477445251184699 (145 digits)
Using B1=27780000, B2=144287213086, polynomial Dickson(12), sigma=1:4010830607
Step 1 took 54761ms
Step 2 took 21971ms
********** Factor found in step 2: 945579600675714035726842017587117225233
Found prime factor of 39 digits: 945579600675714035726842017587117225233
Prime cofactor 1645430516316766709602908527338813497114136034524124378716287192121498227789444591902994768605097377573003 has 106 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10164-629

c158

name 名前Bob Backstrom
date 日付December 1, 2022 22:11:41 UTC 2022 年 12 月 2 日 (金) 7 時 11 分 41 秒 (日本時間)
composite number 合成数
13442257116579883265394461918053403043136926318403230400820881912561919154153506176298731149757183800635226544990838874581972782852381301338701511965769061273<158>
prime factors 素因数
200579816812831435776423536216085787324988541221057185332869783713<66>
67016997672918200430950271209512598010385192381035102921907972406446681122986803365625264121<92>
factorization results 素因数分解の結果
Number: n
N=13442257116579883265394461918053403043136926318403230400820881912561919154153506176298731149757183800635226544990838874581972782852381301338701511965769061273  ( 158 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Dec  2 09:03:45 2022  p66 factor: 200579816812831435776423536216085787324988541221057185332869783713
Fri Dec  2 09:03:45 2022  p92 factor: 67016997672918200430950271209512598010385192381035102921907972406446681122986803365625264121
Fri Dec  2 09:03:45 2022  elapsed time 00:09:02 (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 = 71x10^164-62 = 78(163)2
#
n: 13442257116579883265394461918053403043136926318403230400820881912561919154153506176298731149757183800635226544990838874581972782852381301338701511965769061273
m: 500000000000000000000000000000000
deg: 5
c5: 568
c0: -155
skew: 0.77
# Murphy_E = 2.581e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1608541 hash collisions in 13515882 relations (12679067 unique)
Msieve: matrix is 601916 x 602142 (208.1 MB)

Sieving start time : 2022/12/02 06:59:16
Sieving end time  : 2022/12/02 08:53:54

Total sieving time: 1hrs 54min 38secs.

Total relation processing time: 0hrs 5min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10165-629

c111

name 名前ebina
date 日付November 26, 2022 01:28:09 UTC 2022 年 11 月 26 日 (土) 10 時 28 分 9 秒 (日本時間)
composite number 合成数
882265060533835320961589432665828069397426850990363446288865848830168711893602136649532393894712817852689953273<111>
prime factors 素因数
4270530502941597227318685163017167609<37>
206593784993719074443513005425608506006731154825093084558548648390417712897<75>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3102952398 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 882265060533835320961589432665828069397426850990363446288865848830168711893602136649532393894712817852689953273 (111 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3102952398
Step 1 took 3807ms
********** Factor found in step 1: 4270530502941597227318685163017167609
Found probable prime factor of 37 digits: 4270530502941597227318685163017167609
Probable prime cofactor 206593784993719074443513005425608506006731154825093084558548648390417712897 has 75 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10168-629

c107

name 名前Ignacio Santos
date 日付November 26, 2022 11:04:47 UTC 2022 年 11 月 26 日 (土) 20 時 4 分 47 秒 (日本時間)
composite number 合成数
52556508045333180842041565351222535151421597214943704497617919138974542717808152055561083229796643788751613<107>
prime factors 素因数
95962651929263586438599403142768220877330077371297<50>
547676694929959480825396620746044719307875352986942872029<57>
factorization results 素因数分解の結果
Number: 1
N=52556508045333180842041565351222535151421597214943704497617919138974542717808152055561083229796643788751613
  ( 107 digits)
Divisors found:
 r1=95962651929263586438599403142768220877330077371297 (pp50)
 r2=547676694929959480825396620746044719307875352986942872029 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.66 hours.
Scaled time: 52.40 units (timescale=7.862).
Factorization parameters were as follows:
name: 1
n: 52556508045333180842041565351222535151421597214943704497617919138974542717808152055561083229796643788751613
skew: 31176.74
# norm 2.89e+015
c5: 13500
c4: -1825776780
c3: 10789785496609
c2: -1179614386160654777
c1: -7600719058539619802909
c0: 205367322067346339475030597
# alpha -6.60
Y1: 158471229371
Y0: -329658435988745979742
# Murphy_E 1.32e-009
# M 50786464508778857566597086545015254020827757742021297260860564709416220978986145355302827737643063908667219
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 333101 x 333326
Total sieving time: 6.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10169-629

c122

name 名前Eric Jeancolas
date 日付December 1, 2022 14:40:54 UTC 2022 年 12 月 1 日 (木) 23 時 40 分 54 秒 (日本時間)
composite number 合成数
69029668589475340763824967270091122741633760347090571241836372586095259219385753699999760409823838871680156466245932604629<122>
prime factors 素因数
2855742803286420214461988106057705181529<40>
24172228854095417566709595859469227509702199084358969502421383975851536918472743901<83>
factorization results 素因数分解の結果
69029668589475340763824967270091122741633760347090571241836372586095259219385753699999760409823838871680156466245932604629=2855742803286420214461988106057705181529*24172228854095417566709595859469227509702199084358969502421383975851536918472743901

cado polynomial
n: 69029668589475340763824967270091122741633760347090571241836372586095259219385753699999760409823838871680156466245932604629
skew: 83430.265
c0: -41833071823341300682402633719
c1: -1699885209742540008189208
c2: 2077615558742818415
c3: 416481085986684
c4: -979591500
c5: 10800
Y0: -502856659945462454763346
Y1: 34598421268703317
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.180e-06
# f(x) = 10800*x^5-979591500*x^4+416481085986684*x^3+2077615558742818415*x^2-1699885209742540008189208*x-41833071823341300682402633719
# g(x) = 34598421268703317*x-502856659945462454763346

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: 2855742803286420214461988106057705181529 24172228854095417566709595859469227509702199084358969502421383975851536918472743901
Info:Square Root: Total cpu/real time for sqrt: 239.39/83.7592
Info:Generate Factor Base: Total cpu/real time for makefb: 5.04/2.47823
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 201.49/271.51
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 237.0s
Info:Square Root: Total cpu/real time for sqrt: 239.39/83.7592
Info:Generate Free Relations: Total cpu/real time for freerel: 125.97/41.2635
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.61/145.929
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.94/68.6637
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.0s
Info:Filtering - Merging: Merged matrix has 836668 rows and total weight 83966180 (100.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.72/24.3843
Info:Filtering - Merging: Total cpu/real time for replay: 20.92/17.097
Info:Linear Algebra: Total cpu/real time for bwc: 11274.4/4323.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4050.66, WCT time 1673.53, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 4806.79, WCT time 1628.1
Info:Linear Algebra: Mksol: CPU time 2336.75,  WCT time 983.74, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (13312 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13866741
Info:Lattice Sieving: Average J: 1900.92 for 350062 special-q, max bucket fill -bkmult 1.0,1s:1.292040
Info:Lattice Sieving: Total time: 54300s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2244.61
Info:Polynomial Selection (root optimized): Rootsieve time: 2241.98
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): 20147/36.110/43.640/48.030/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16293/35.040/38.639/44.090/0.892
Info:Polynomial Selection (size optimized): Total time: 2243.96
Info:Quadratic Characters: Total cpu/real time for characters: 26.49/13.2418
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 92665.5/33539.3
Info:root: Cleaning up computation data in /tmp/cado.ld70ck4y
2855742803286420214461988106057705181529 24172228854095417566709595859469227509702199084358969502421383975851536918472743901
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10171-629

c120

name 名前Ignacio Santos
date 日付November 27, 2022 09:30:22 UTC 2022 年 11 月 27 日 (日) 18 時 30 分 22 秒 (日本時間)
composite number 合成数
159721714337672120301938669297954660331692403795677141990014111840778654828531880271186046928091667285341158290142232363<120>
prime factors 素因数
361020908812258071406530496204327<33>
442416797584242698592703984590718009303649688736426911261883481295385050195731209989469<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1240789601
Step 1 took 4422ms
Step 2 took 2360ms
********** Factor found in step 2: 361020908812258071406530496204327
Found prime factor of 33 digits: 361020908812258071406530496204327
Prime cofactor 442416797584242698592703984590718009303649688736426911261883481295385050195731209989469 has 87 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10172-629

c170

name 名前Bob Backstrom
date 日付November 28, 2022 16:49:20 UTC 2022 年 11 月 29 日 (火) 1 時 49 分 20 秒 (日本時間)
composite number 合成数
65413672378846508199742030587801732080339045513174866408697254468398747005712179841533075363921135065413672378846508199742030587801732080339045513174866408697254468398747<170>
prime factors 素因数
2774075536208274090818652480172649174102539556782585922136210559867263811<73>
23580350111250659260756261060388405018173586799309876216667402075920128007771651887511917575122377<98>
factorization results 素因数分解の結果
Number: n
N=65413672378846508199742030587801732080339045513174866408697254468398747005712179841533075363921135065413672378846508199742030587801732080339045513174866408697254468398747  ( 170 digits)
SNFS difficulty: 173 digits.
Divisors found:

Tue Nov 29 02:15:29 2022  p73 factor: 2774075536208274090818652480172649174102539556782585922136210559867263811
Tue Nov 29 02:15:29 2022  p98 factor: 23580350111250659260756261060388405018173586799309876216667402075920128007771651887511917575122377
Tue Nov 29 02:15:29 2022  elapsed time 00:25:54 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 71x10^172-62 = 78(171)2
#
n: 65413672378846508199742030587801732080339045513174866408697254468398747005712179841533075363921135065413672378846508199742030587801732080339045513174866408697254468398747
m: 10000000000000000000000000000000000
deg: 5
c5: 3550
c0: -31
skew: 0.39
# Murphy_E = 1.258e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 44350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1484183 hash collisions in 13808380 relations (13160694 unique)
Msieve: matrix is 1030154 x 1030379 (356.8 MB)

Sieving start time : 2022/11/28 20:32:33
Sieving end time  : 2022/11/29 01:49:00

Total sieving time: 5hrs 16min 27secs.

Total relation processing time: 0hrs 16min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 17sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10175-629

c151

name 名前Eric Jeancolas
date 日付December 12, 2022 09:40:03 UTC 2022 年 12 月 12 日 (月) 18 時 40 分 3 秒 (日本時間)
composite number 合成数
4246043418548421430789831620868793492749432812970323770656693225873697772059233173216849694949916435823493304788623838476546567905518436066591147752863<151>
prime factors 素因数
36428360280653680948571138273584361403701234967899115303683996581<65>
116558730226553837340358337472507587032182014803129937889445268335088828536730728161523<87>
factorization results 素因数分解の結果
4246043418548421430789831620868793492749432812970323770656693225873697772059233173216849694949916435823493304788623838476546567905518436066591147752863=36428360280653680948571138273584361403701234967899115303683996581*116558730226553837340358337472507587032182014803129937889445268335088828536730728161523

cado polynomial
n: 4246043418548421430789831620868793492749432812970323770656693225873697772059233173216849694949916435823493304788623838476546567905518436066591147752863
skew: 0.97
type: snfs
c0: -62
c5: 71
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 71*x^5-62
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6200000
tasks.lim1 = 6200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 116558730226553837340358337472507587032182014803129937889445268335088828536730728161523 36428360280653680948571138273584361403701234967899115303683996581
Info:Square Root: Total cpu/real time for sqrt: 498.92/91.3609
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: 2.75/0.727892
Info:Generate Free Relations: Total cpu/real time for freerel: 98.17/12.5554
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425890
Info:Lattice Sieving: Average J: 1893.97 for 993496 special-q, max bucket fill -bkmult 1.0,1s:1.129130
Info:Lattice Sieving: Total time: 160429s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.16/41.4403
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 248.85/71.5042
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.17/54.6705
Info:Filtering - Merging: Merged matrix has 1052412 rows and total weight 179812792 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 213.29/31.7013
Info:Filtering - Merging: Total cpu/real time for replay: 33.08/27.4407
Info:Linear Algebra: Total cpu/real time for bwc: 11281.5/2937.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1850.12, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Linear Algebra: Lingen CPU time 107.56, WCT time 29.26
Info:Linear Algebra: Mksol: WCT time 1022.4, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 40.02/10.5156
Info:Square Root: Total cpu/real time for sqrt: 498.92/91.3609
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 335938/83808
Info:root: Cleaning up computation data in /tmp/cado.4axoybyk
116558730226553837340358337472507587032182014803129937889445268335088828536730728161523 36428360280653680948571138273584361403701234967899115303683996581
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10178-629

c160

name 名前Bob Backstrom
date 日付December 4, 2022 00:12:42 UTC 2022 年 12 月 4 日 (日) 9 時 12 分 42 秒 (日本時間)
composite number 合成数
8813466466802070775844235216733496504753184491658708933908696715263326923059818113075991237410841921320717208439737264073300985126446812239547103611475331123199<160>
prime factors 素因数
398899838474698379140690835311230575805201617<45>
527923134811276345597480032376724650488314127760844772841<57>
41851613100053035217228849975077632656114452066832326789367<59>
factorization results 素因数分解の結果
Number: n
N=22094434784688677651262474141286349162227657564737612232175980643157040083676467140833923860564684114100413969181647  ( 116 digits)
Divisors found:

Sun Dec  4 11:08:02 2022  p57 factor: 527923134811276345597480032376724650488314127760844772841
Sun Dec  4 11:08:02 2022  p59 factor: 41851613100053035217228849975077632656114452066832326789367
Sun Dec  4 11:08:02 2022  elapsed time 00:05:26 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 71x10^178-62 = 78(177)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 8813466466802070775844235216733496504753184491658708933908696715263326923059818113075991237410841921320717208439737264073300985126446812239547103611475331123199 (160 digits)
# Using B1=26420000, B2=144285831706, polynomial Dickson(12), sigma=1:1124487869
# Step 1 took 64454ms
# Step 2 took 26338ms
# ********** Factor found in step 2: 398899838474698379140690835311230575805201617
# Found prime factor of 45 digits: 398899838474698379140690835311230575805201617
# Composite cofactor 22094434784688677651262474141286349162227657564737612232175980643157040083676467140833923860564684114100413969181647 has 116 digits
#

n: 22094434784688677651262474141286349162227657564737612232175980643157040083676467140833923860564684114100413969181647

Y0: -42046614322952929918994
Y1: 14845507271741
c0: 4212196148034234673735392555
c1: 415196525121144939592854
c2: -17362586931123927227
c3: -42793320305578
c4: 349052668
c5: 168

# skew 202905.94, size 4.766e-11, alpha -6.142, combined = 5.225e-10 rroots = 5

skew: 202905.94

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 894059 hash collisions in 7480039 relations (6871994 unique)
Msieve: matrix is 355638 x 355863 (124.6 MB)

Sieving start time : 2022/12/04 10:32:33
Sieving end time  : 2022/12/04 11:02:13

Total sieving time: 0hrs 29min 40secs.

Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 15sec.

Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10180-629

c151

name 名前Eric Jeancolas
date 日付December 18, 2022 18:31:05 UTC 2022 年 12 月 19 日 (月) 3 時 31 分 5 秒 (日本時間)
composite number 合成数
4868121966152485449902552517123711064937950818387738116656851301047290066233235533457906624780556559402029025894031120144593503687163579640937888684277<151>
prime factors 素因数
61303440493970736199130902110810634409991952755853405170486609292734767<71>
79410257025154580647101332043248152398092926537096791578702972802348182202869531<80>
factorization results 素因数分解の結果
4868121966152485449902552517123711064937950818387738116656851301047290066233235533457906624780556559402029025894031120144593503687163579640937888684277=61303440493970736199130902110810634409991952755853405170486609292734767*79410257025154580647101332043248152398092926537096791578702972802348182202869531

cado polynomial
n: 4868121966152485449902552517123711064937950818387738116656851301047290066233235533457906624780556559402029025894031120144593503687163579640937888684277
skew: 0.97
type: snfs
c0: -62
c5: 71
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 71*x^5-62
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7500000
tasks.lim1 = 7500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 79410257025154580647101332043248152398092926537096791578702972802348182202869531 61303440493970736199130902110810634409991952755853405170486609292734767
Info:Square Root: Total cpu/real time for sqrt: 351.92/116.039
Info:Square Root: Total cpu/real time for sqrt: 351.92/116.039
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.44/89.1349
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.37/88.3773
Info:Filtering - Merging: Merged matrix has 1415913 rows and total weight 241742173 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 352.23/99.1952
Info:Filtering - Merging: Total cpu/real time for replay: 51.79/45.3323
Info:Quadratic Characters: Total cpu/real time for characters: 48.68/22.0275
Info:Generate Factor Base: Total cpu/real time for makefb: 3.15/1.78241
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410414
Info:Lattice Sieving: Average J: 1894.64 for 1424562 special-q, max bucket fill -bkmult 1.0,1s:1.173390
Info:Lattice Sieving: Total time: 234537s
Info:Linear Algebra: Total cpu/real time for bwc: 32630.6/8704.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20782.98, WCT time 5503.91, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44288 iterations)
Info:Linear Algebra: Lingen CPU time 283.94, WCT time 73.71
Info:Linear Algebra: Mksol: CPU time 11316.62,  WCT time 3031.75, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.39/31.5286
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 232.98/229.425
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 215.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 466640/127166
Info:root: Cleaning up computation data in /tmp/cado.ha3fz9pk
79410257025154580647101332043248152398092926537096791578702972802348182202869531 61303440493970736199130902110810634409991952755853405170486609292734767
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10182-629

c161

name 名前Bob Backstrom
date 日付December 5, 2022 17:50:18 UTC 2022 年 12 月 6 日 (火) 2 時 50 分 18 秒 (日本時間)
composite number 合成数
20046052077386884866256759382094493098268477985556101984515498251504457709477179124590985151945680939102773066176819200348910707172293512971918435777051790379287<161>
prime factors 素因数
106668964095818037142280950468505857729571843644494389<54>
187927690564052187023465659825331534660543306083292535005556008435623273298458361316128958085832255728605083<108>
factorization results 素因数分解の結果
Number: n
N=20046052077386884866256759382094493098268477985556101984515498251504457709477179124590985151945680939102773066176819200348910707172293512971918435777051790379287  ( 161 digits)
SNFS difficulty: 183 digits.
Divisors found:

Tue Dec  6 04:17:04 2022  p54 factor: 106668964095818037142280950468505857729571843644494389
Tue Dec  6 04:17:04 2022  p108 factor: 187927690564052187023465659825331534660543306083292535005556008435623273298458361316128958085832255728605083
Tue Dec  6 04:17:04 2022  elapsed time 00:20:51 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 71x10^182-62 = 78(181)2
#
n: 20046052077386884866256759382094493098268477985556101984515498251504457709477179124590985151945680939102773066176819200348910707172293512971918435777051790379287
m: 1000000000000000000000000000000000000
deg: 5
c5: 3550
c0: -31
skew: 0.39
# Murphy_E = 4.985e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
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: 50/50
Sieved  special-q in [100000, 24000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2057389 hash collisions in 13508648 relations (12070594 unique)
Msieve: matrix is 948683 x 948908 (325.1 MB)

Sieving start time : 2022/12/05 21:02:09
Sieving end time  : 2022/12/06 03:55:34

Total sieving time: 6hrs 53min 25secs.

Total relation processing time: 0hrs 13min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 9sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,50,50,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10184-629

c131

name 名前Eric Jeancolas
date 日付December 8, 2022 04:19:17 UTC 2022 年 12 月 8 日 (木) 13 時 19 分 17 秒 (日本時間)
composite number 合成数
13060076001968636662221935134874855927452224120513952717170342473583348069078209775275858573710796187442677324842875619616600870233<131>
prime factors 素因数
877169693943666670434425759207004594659224748530734781<54>
14888881925744435209144170529038157387268603923141453298443312642439942207693<77>
factorization results 素因数分解の結果
13060076001968636662221935134874855927452224120513952717170342473583348069078209775275858573710796187442677324842875619616600870233=877169693943666670434425759207004594659224748530734781*14888881925744435209144170529038157387268603923141453298443312642439942207693

cado polynomial
n: 13060076001968636662221935134874855927452224120513952717170342473583348069078209775275858573710796187442677324842875619616600870233
skew: 451759.459
c0: -78978837878330079635720901657160
c1: -924619575772452196481022166
c2: 2246399336606191530025
c3: -21043671008419211
c4: -8704395510
c5: 19800
Y0: -23151695482737921334127139
Y1: 420351285350599663
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.728e-07
# f(x) = 19800*x^5-8704395510*x^4-21043671008419211*x^3+2246399336606191530025*x^2-924619575772452196481022166*x-78978837878330079635720901657160
# g(x) = 420351285350599663*x-23151695482737921334127139

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

cado log (extracts)
Info:Square Root: Factors: 14888881925744435209144170529038157387268603923141453298443312642439942207693 877169693943666670434425759207004594659224748530734781
Info:Square Root: Total cpu/real time for sqrt: 674.28/206.763
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 391.82/388.8
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 332.90000000000003s
Info:Square Root: Total cpu/real time for sqrt: 674.28/206.763
Info:Generate Free Relations: Total cpu/real time for freerel: 251.42/65.6135
Info:Filtering - Singleton removal: Total cpu/real time for purge: 255.96/257.352
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.22/108.54
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.19999999999999s
Info:Filtering - Merging: Merged matrix has 1706348 rows and total weight 290887950 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 424.47/120.802
Info:Filtering - Merging: Total cpu/real time for replay: 67.09/61.3179
Info:Generate Factor Base: Total cpu/real time for makefb: 40.38/11.4863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23886399
Info:Lattice Sieving: Average J: 8192 for 54056 special-q, max bucket fill -bkmult 1.0,1s:1.070200
Info:Lattice Sieving: Total time: 82410.3s
Info:Linear Algebra: Total cpu/real time for bwc: 46882.3/12697.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29848.87, WCT time 7997.27, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53504 iterations)
Info:Linear Algebra: Lingen CPU time 350.36, WCT time 91.63
Info:Linear Algebra: Mksol: CPU time 16374.76,  WCT time 4491.25, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (26880 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5154.09
Info:Polynomial Selection (root optimized): Rootsieve time: 5151.64
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38665/37.990/46.456/50.230/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30579/37.330/41.731/47.280/1.009
Info:Polynomial Selection (size optimized): Total time: 4861.73
Info:Quadratic Characters: Total cpu/real time for characters: 65.7/29.784
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 210287/58266.1
Info:root: Cleaning up computation data in /tmp/cado.2y85mxsk
14888881925744435209144170529038157387268603923141453298443312642439942207693 877169693943666670434425759207004594659224748530734781
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10185-629

c186

name 名前Bob Backstrom
date 日付December 6, 2022 15:57:28 UTC 2022 年 12 月 7 日 (水) 0 時 57 分 28 秒 (日本時間)
composite number 合成数
394444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<186>
prime factors 素因数
206936760320401184043632528973614679174945691049364675377057955855876277568849755745197<87>
1906111044909199355092306234943011119427905832922982292566007554993268785684160648143095299612817053<100>
factorization results 素因数分解の結果
Number: n
N=394444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441  ( 186 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Dec  6 19:34:05 2022  p87 factor: 206936760320401184043632528973614679174945691049364675377057955855876277568849755745197
Tue Dec  6 19:34:05 2022  p100 factor: 1906111044909199355092306234943011119427905832922982292566007554993268785684160648143095299612817053
Tue Dec  6 19:34:05 2022  elapsed time 00:32:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 71x10^185-62 = 78(184)2
#
n: 394444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 10000000000000000000000000000000000000
deg: 5
c5: 71
c0: -62
skew: 0.97
# Murphy_E = 4.078e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 24550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1803290 hash collisions in 13868638 relations (12820123 unique)
Msieve: matrix is 1237327 x 1237552 (427.8 MB)

Sieving start time : 2022/12/06 12:28:27
Sieving end time  : 2022/12/06 19:00:58

Total sieving time: 6hrs 32min 31secs.

Total relation processing time: 0hrs 25min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,52,52,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10189-629

c173

name 名前Bob Backstrom
date 日付December 11, 2022 09:22:33 UTC 2022 年 12 月 11 日 (日) 18 時 22 分 33 秒 (日本時間)
composite number 合成数
34841756859387147408950865849675183563696311617749706373615088980773857345479958119308552692410439052479882405630988206306680971715175806866607419055361847995091742424368921<173>
prime factors 素因数
2189414622863673651105491524694486808932125941234641<52>
15913731686790057740058221092669691781942181116239432178890103220416052746215594946416356245999707055228209126267102843081<122>
factorization results 素因数分解の結果
Number: n
N=34841756859387147408950865849675183563696311617749706373615088980773857345479958119308552692410439052479882405630988206306680971715175806866607419055361847995091742424368921  ( 173 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Dec 11 20:12:07 2022  p52 factor: 2189414622863673651105491524694486808932125941234641
Sun Dec 11 20:12:07 2022  p122 factor: 15913731686790057740058221092669691781942181116239432178890103220416052746215594946416356245999707055228209126267102843081
Sun Dec 11 20:12:07 2022  elapsed time 01:00:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 71x10^189-62 = 78(188)2
#
n: 34841756859387147408950865849675183563696311617749706373615088980773857345479958119308552692410439052479882405630988206306680971715175806866607419055361847995091742424368921
m: 50000000000000000000000000000000000000
deg: 5
c5: 568
c0: -155
skew: 0.77
# Murphy_E = 2.551e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1612386 hash collisions in 12193128 relations (11225097 unique)
Msieve: matrix is 1646898 x 1647124 (576.5 MB)

Sieving start time : 2022/12/11 13:45:19
Sieving end time  : 2022/12/11 19:11:44

Total sieving time: 5hrs 26min 25secs.

Total relation processing time: 0hrs 53min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,27,27,52,52,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 9, 2022 17:13:13 UTC 2022 年 12 月 10 日 (土) 2 時 13 分 13 秒 (日本時間)

71×10190-629

c173

name 名前Bob Backstrom
date 日付December 11, 2022 02:50:39 UTC 2022 年 12 月 11 日 (日) 11 時 50 分 39 秒 (日本時間)
composite number 合成数
57662208412117260595469388637041743280153373663275606613135925946307055476123024203442919333966173830563199281028066317849817740518829899886242018940059487162438492013675079<173>
prime factors 素因数
5330339331025947490682749553193313488836398899337<49>
36920579603342958493911382880653008362668204582359119<53>
293000191362615828565954864576739698405166885801240336099158032949614593<72>
factorization results 素因数分解の結果
Number: n
N=57662208412117260595469388637041743280153373663275606613135925946307055476123024203442919333966173830563199281028066317849817740518829899886242018940059487162438492013675079  ( 173 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Dec 11 13:32:54 2022  found factor: 5330339331025947490682749553193313488836398899337
Sun Dec 11 13:35:05 2022  found factor: 5330339331025947490682749553193313488836398899337
Sun Dec 11 13:37:15 2022  p49 factor: 5330339331025947490682749553193313488836398899337
Sun Dec 11 13:37:15 2022  p53 factor: 36920579603342958493911382880653008362668204582359119
Sun Dec 11 13:37:15 2022  p72 factor: 293000191362615828565954864576739698405166885801240336099158032949614593
Sun Dec 11 13:37:15 2022  elapsed time 01:05:23 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 71x10^190-62 = 78(189)2
#
n: 57662208412117260595469388637041743280153373663275606613135925946307055476123024203442919333966173830563199281028066317849817740518829899886242018940059487162438492013675079
m: 100000000000000000000000000000000000000
deg: 5
c5: 71
c0: -62
skew: 0.97
# Murphy_E = 2.542e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18382733)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1724833 hash collisions in 12398414 relations (11306111 unique)
Msieve: matrix is 1701047 x 1701273 (593.2 MB)

Sieving start time : 2022/12/11 06:29:44
Sieving end time  : 2022/12/11 12:31:33

Total sieving time: 6hrs 1min 49secs.

Total relation processing time: 0hrs 54min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 32sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,52,52,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 9, 2022 12:26:33 UTC 2022 年 12 月 9 日 (金) 21 時 26 分 33 秒 (日本時間)

71×10198-629

c161

name 名前Ignacio Santos
date 日付February 15, 2023 11:47:34 UTC 2023 年 2 月 15 日 (水) 20 時 47 分 34 秒 (日本時間)
composite number 合成数
32972846371978768179651626779723570595216418394766380504354344147634986604669872117046707630109157054881635171796628756043890728553578304113389867688411574818703<161>
prime factors 素因数
11273728528098870655385038199790769094977<41>
2924750785846632207695205976524967557080589770150117756513296846632038802614062243766604804050217134862144546254367429839<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2347706965
Step 1 took 6375ms
Step 2 took 3062ms
********** Factor found in step 2: 11273728528098870655385038199790769094977
Found prime factor of 41 digits: 11273728528098870655385038199790769094977
Prime cofactor 2924750785846632207695205976524967557080589770150117756513296846632038802614062243766604804050217134862144546254367429839 has 121 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 10, 2022 23:39:42 UTC 2022 年 12 月 11 日 (日) 8 時 39 分 42 秒 (日本時間)

71×10200-629

c180

name 名前anonymous
date 日付April 16, 2023 09:57:51 UTC 2023 年 4 月 16 日 (日) 18 時 57 分 51 秒 (日本時間)
composite number 合成数
476577421127270717060574954602788399852318661205548751586199063019099986607350493575083082933765598421212382377120309424664610305684174112901902015780559308995248972273157066352593<180>
prime factors 素因数
11180407727791572492416226098355131635867745406274043<53>
42626121759640640305716346580916678907112458391480017419163840106337602477384395876816563680648007380382721416054579243459794851<128>
factorization results 素因数分解の結果
Run 3589 out of 114514:
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:1544931897926559526
Step 1 took 501250ms
********** Factor found in step 1: 11180407727791572492416226098355131635867745406274043
Found prime factor of 53 digits: 11180407727791572492416226098355131635867745406274043
Prime cofactor 42626121759640640305716346580916678907112458391480017419163840106337602477384395876816563680648007380382721416054579243459794851 has 128 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350yyyMarch 25, 2023 14:14:47 UTC 2023 年 3 月 25 日 (土) 23 時 14 分 47 秒 (日本時間)
4511e633333425xxxApril 9, 2023 06:10:16 UTC 2023 年 4 月 9 日 (日) 15 時 10 分 16 秒 (日本時間)
32908xxxApril 11, 2023 04:01:50 UTC 2023 年 4 月 11 日 (火) 13 時 1 分 50 秒 (日本時間)
5043e60--
5511e74050 / 156643135dddApril 13, 2023 11:22:22 UTC 2023 年 4 月 13 日 (木) 20 時 22 分 22 秒 (日本時間)
35dddApril 13, 2023 12:00:08 UTC 2023 年 4 月 13 日 (木) 21 時 0 分 8 秒 (日本時間)
4dddApril 14, 2023 01:44:52 UTC 2023 年 4 月 14 日 (金) 10 時 44 分 52 秒 (日本時間)
872dddApril 14, 2023 02:30:34 UTC 2023 年 4 月 14 日 (金) 11 時 30 分 34 秒 (日本時間)
1dddApril 14, 2023 14:25:46 UTC 2023 年 4 月 14 日 (金) 23 時 25 分 46 秒 (日本時間)
3dddApril 15, 2023 06:21:27 UTC 2023 年 4 月 15 日 (土) 15 時 21 分 27 秒 (日本時間)

71×10201-629

c152

name 名前anonymous
date 日付March 25, 2023 12:22:33 UTC 2023 年 3 月 25 日 (土) 21 時 22 分 33 秒 (日本時間)
composite number 合成数
59705952512411051739697496644505177025944431654914059334291834325847340278068104066172157756930022570905448943963539848498808368370737976530259174979633<152>
prime factors 素因数
31006023694055679957410467737279579151<38>
composite cofactor 合成数の残り
1925624294864277576816680210494985727347951407583363065807731404333810163365682252526946026406841034877042120245183<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12057644993733969095
Step 1 took 10797ms
********** Factor found in step 2: 31006023694055679957410467737279579151
Found prime factor of 38 digits: 31006023694055679957410467737279579151
Composite cofactor 1925624294864277576816680210494985727347951407583363065807731404333810163365682252526946026406841034877042120245183 has 115 digits
software ソフトウェア
GMP-ECM 7.0.5

c115

name 名前anonymous
date 日付March 27, 2023 04:15:27 UTC 2023 年 3 月 27 日 (月) 13 時 15 分 27 秒 (日本時間)
composite number 合成数
1925624294864277576816680210494985727347951407583363065807731404333810163365682252526946026406841034877042120245183<115>
prime factors 素因数
393335940598570248220591690931018587906711989475133767<54>
4895622535621595068264902421668657378400326544661427644731849<61>
factorization results 素因数分解の結果
Mon Mar 27 11:37:05 2023  
Mon Mar 27 11:37:05 2023  
Mon Mar 27 11:37:05 2023  Msieve v. 1.54 (SVN Unversioned directory)
Mon Mar 27 11:37:05 2023  random seeds: fe38a300 15f4a5ab
Mon Mar 27 11:37:05 2023  factoring 1925624294864277576816680210494985727347951407583363065807731404333810163365682252526946026406841034877042120245183 (115 digits)
Mon Mar 27 11:37:06 2023  searching for 15-digit factors
Mon Mar 27 11:37:06 2023  commencing number field sieve (115-digit input)
Mon Mar 27 11:37:06 2023  R0: -10946574973761871281814
Mon Mar 27 11:37:06 2023  R1: 33698609861131
Mon Mar 27 11:37:06 2023  A0: 2647623569406310334811989115
Mon Mar 27 11:37:06 2023  A1: -133792439588178726693261
Mon Mar 27 11:37:06 2023  A2: -7864947576479875135
Mon Mar 27 11:37:06 2023  A3: 309344689459097
Mon Mar 27 11:37:06 2023  A4: 3652323624
Mon Mar 27 11:37:06 2023  A5: 12240
Mon Mar 27 11:37:06 2023  skew 1.00, size 5.803e-011, alpha -6.655, combined = 1.983e-011 rroots = 3
Mon Mar 27 11:37:06 2023  
Mon Mar 27 11:37:06 2023  commencing relation filtering
Mon Mar 27 11:37:06 2023  estimated available RAM is 15734.8 MB
Mon Mar 27 11:37:06 2023  commencing duplicate removal, pass 1
Mon Mar 27 11:38:20 2023  commencing duplicate removal, pass 2
Mon Mar 27 11:38:37 2023  found 427070 duplicates and 9759268 unique relations
Mon Mar 27 11:38:37 2023  memory use: 41.3 MB
Mon Mar 27 11:38:37 2023  reading ideals above 100000
Mon Mar 27 11:38:37 2023  commencing singleton removal, initial pass
Mon Mar 27 11:39:36 2023  memory use: 344.5 MB
Mon Mar 27 11:39:36 2023  reading all ideals from disk
Mon Mar 27 11:39:37 2023  memory use: 336.8 MB
Mon Mar 27 11:39:37 2023  keeping 10628866 ideals with weight <= 200, target excess is 54149
Mon Mar 27 11:39:38 2023  commencing in-memory singleton removal
Mon Mar 27 11:39:38 2023  begin with 9759268 relations and 10628866 unique ideals
Mon Mar 27 11:39:42 2023  reduce to 3574703 relations and 3291767 ideals in 23 passes
Mon Mar 27 11:39:42 2023  max relations containing the same ideal: 106
Mon Mar 27 11:39:44 2023  removing 765228 relations and 655166 ideals in 110062 cliques
Mon Mar 27 11:39:44 2023  commencing in-memory singleton removal
Mon Mar 27 11:39:44 2023  begin with 2809475 relations and 3291767 unique ideals
Mon Mar 27 11:39:45 2023  reduce to 2671939 relations and 2493374 ideals in 11 passes
Mon Mar 27 11:39:45 2023  max relations containing the same ideal: 88
Mon Mar 27 11:39:46 2023  removing 577642 relations and 467580 ideals in 110062 cliques
Mon Mar 27 11:39:46 2023  commencing in-memory singleton removal
Mon Mar 27 11:39:46 2023  begin with 2094297 relations and 2493374 unique ideals
Mon Mar 27 11:39:47 2023  reduce to 1986731 relations and 1913540 ideals in 10 passes
Mon Mar 27 11:39:47 2023  max relations containing the same ideal: 73
Mon Mar 27 11:39:48 2023  removing 90183 relations and 79805 ideals in 10378 cliques
Mon Mar 27 11:39:48 2023  commencing in-memory singleton removal
Mon Mar 27 11:39:48 2023  begin with 1896548 relations and 1913540 unique ideals
Mon Mar 27 11:39:48 2023  reduce to 1893583 relations and 1830751 ideals in 6 passes
Mon Mar 27 11:39:48 2023  max relations containing the same ideal: 70
Mon Mar 27 11:39:48 2023  relations with 0 large ideals: 190
Mon Mar 27 11:39:48 2023  relations with 1 large ideals: 1459
Mon Mar 27 11:39:48 2023  relations with 2 large ideals: 14075
Mon Mar 27 11:39:48 2023  relations with 3 large ideals: 80939
Mon Mar 27 11:39:48 2023  relations with 4 large ideals: 261644
Mon Mar 27 11:39:48 2023  relations with 5 large ideals: 491141
Mon Mar 27 11:39:48 2023  relations with 6 large ideals: 542186
Mon Mar 27 11:39:48 2023  relations with 7+ large ideals: 501949
Mon Mar 27 11:39:48 2023  commencing 2-way merge
Mon Mar 27 11:39:49 2023  reduce to 1061778 relation sets and 998946 unique ideals
Mon Mar 27 11:39:49 2023  commencing full merge
Mon Mar 27 11:40:02 2023  memory use: 114.0 MB
Mon Mar 27 11:40:02 2023  found 476072 cycles, need 471146
Mon Mar 27 11:40:02 2023  weight of 471146 cycles is about 42740435 (90.72/cycle)
Mon Mar 27 11:40:02 2023  distribution of cycle lengths:
Mon Mar 27 11:40:02 2023  1 relations: 39944
Mon Mar 27 11:40:02 2023  2 relations: 38064
Mon Mar 27 11:40:02 2023  3 relations: 39418
Mon Mar 27 11:40:02 2023  4 relations: 37680
Mon Mar 27 11:40:02 2023  5 relations: 36216
Mon Mar 27 11:40:02 2023  6 relations: 33394
Mon Mar 27 11:40:02 2023  7 relations: 31701
Mon Mar 27 11:40:02 2023  8 relations: 28897
Mon Mar 27 11:40:02 2023  9 relations: 26034
Mon Mar 27 11:40:02 2023  10+ relations: 159798
Mon Mar 27 11:40:02 2023  heaviest cycle: 27 relations
Mon Mar 27 11:40:02 2023  commencing cycle optimization
Mon Mar 27 11:40:03 2023  start with 3757208 relations
Mon Mar 27 11:40:09 2023  pruned 107229 relations
Mon Mar 27 11:40:09 2023  memory use: 114.4 MB
Mon Mar 27 11:40:09 2023  distribution of cycle lengths:
Mon Mar 27 11:40:09 2023  1 relations: 39944
Mon Mar 27 11:40:09 2023  2 relations: 38904
Mon Mar 27 11:40:09 2023  3 relations: 40769
Mon Mar 27 11:40:09 2023  4 relations: 38628
Mon Mar 27 11:40:09 2023  5 relations: 37344
Mon Mar 27 11:40:09 2023  6 relations: 34360
Mon Mar 27 11:40:09 2023  7 relations: 32526
Mon Mar 27 11:40:09 2023  8 relations: 29374
Mon Mar 27 11:40:09 2023  9 relations: 26492
Mon Mar 27 11:40:09 2023  10+ relations: 152805
Mon Mar 27 11:40:09 2023  heaviest cycle: 27 relations
Mon Mar 27 11:40:09 2023  RelProcTime: 183
Mon Mar 27 11:40:09 2023  elapsed time 00:03:04
Mon Mar 27 12:08:15 2023  
Mon Mar 27 12:08:15 2023  
Mon Mar 27 12:08:15 2023  Msieve v. 1.54 (SVN Unversioned directory)
Mon Mar 27 12:08:15 2023  random seeds: 49f9da58 eb5c13a5
Mon Mar 27 12:08:15 2023  factoring 1925624294864277576816680210494985727347951407583363065807731404333810163365682252526946026406841034877042120245183 (115 digits)
Mon Mar 27 12:08:15 2023  searching for 15-digit factors
Mon Mar 27 12:08:15 2023  commencing number field sieve (115-digit input)
Mon Mar 27 12:08:15 2023  R0: -10946574973761871281814
Mon Mar 27 12:08:15 2023  R1: 33698609861131
Mon Mar 27 12:08:15 2023  A0: 2647623569406310334811989115
Mon Mar 27 12:08:15 2023  A1: -133792439588178726693261
Mon Mar 27 12:08:15 2023  A2: -7864947576479875135
Mon Mar 27 12:08:15 2023  A3: 309344689459097
Mon Mar 27 12:08:15 2023  A4: 3652323624
Mon Mar 27 12:08:15 2023  A5: 12240
Mon Mar 27 12:08:15 2023  skew 1.00, size 5.803e-011, alpha -6.655, combined = 1.983e-011 rroots = 3
Mon Mar 27 12:08:15 2023  
Mon Mar 27 12:08:15 2023  commencing linear algebra
Mon Mar 27 12:08:15 2023  read 471146 cycles
Mon Mar 27 12:08:16 2023  cycles contain 1838062 unique relations
Mon Mar 27 12:08:28 2023  read 1838062 relations
Mon Mar 27 12:08:30 2023  using 20 quadratic characters above 4294917295
Mon Mar 27 12:08:36 2023  building initial matrix
Mon Mar 27 12:08:48 2023  memory use: 225.2 MB
Mon Mar 27 12:08:48 2023  read 471146 cycles
Mon Mar 27 12:08:48 2023  matrix is 470969 x 471146 (174.0 MB) with weight 54212654 (115.07/col)
Mon Mar 27 12:08:48 2023  sparse part has weight 40428508 (85.81/col)
Mon Mar 27 12:08:51 2023  filtering completed in 2 passes
Mon Mar 27 12:08:51 2023  matrix is 470711 x 470888 (174.0 MB) with weight 54199444 (115.10/col)
Mon Mar 27 12:08:51 2023  sparse part has weight 40423395 (85.85/col)
Mon Mar 27 12:08:52 2023  matrix starts at (0, 0)
Mon Mar 27 12:08:52 2023  matrix is 470711 x 470888 (174.0 MB) with weight 54199444 (115.10/col)
Mon Mar 27 12:08:52 2023  sparse part has weight 40423395 (85.85/col)
Mon Mar 27 12:08:52 2023  saving the first 112 matrix rows for later
Mon Mar 27 12:08:52 2023  matrix includes 128 packed rows
Mon Mar 27 12:08:52 2023  matrix is 470599 x 470888 (158.8 MB) with weight 39407984 (83.69/col)
Mon Mar 27 12:08:52 2023  sparse part has weight 35986405 (76.42/col)
Mon Mar 27 12:08:52 2023  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Mon Mar 27 12:08:54 2023  commencing Lanczos iteration (12 threads)
Mon Mar 27 12:08:54 2023  memory use: 176.7 MB
Mon Mar 27 12:08:59 2023  linear algebra at 2.6%, ETA 0h 3m
Mon Mar 27 12:12:40 2023  lanczos halted after 3700 iterations (dim = 470599)
Mon Mar 27 12:12:40 2023  recovered 30 nontrivial dependencies
Mon Mar 27 12:12:40 2023  BLanczosTime: 265
Mon Mar 27 12:12:40 2023  elapsed time 00:04:25
Mon Mar 27 12:12:43 2023  
Mon Mar 27 12:12:43 2023  
Mon Mar 27 12:12:43 2023  Msieve v. 1.54 (SVN Unversioned directory)
Mon Mar 27 12:12:43 2023  random seeds: 8e8ba230 098198dd
Mon Mar 27 12:12:43 2023  factoring 1925624294864277576816680210494985727347951407583363065807731404333810163365682252526946026406841034877042120245183 (115 digits)
Mon Mar 27 12:12:44 2023  searching for 15-digit factors
Mon Mar 27 12:12:44 2023  commencing number field sieve (115-digit input)
Mon Mar 27 12:12:44 2023  R0: -10946574973761871281814
Mon Mar 27 12:12:44 2023  R1: 33698609861131
Mon Mar 27 12:12:44 2023  A0: 2647623569406310334811989115
Mon Mar 27 12:12:44 2023  A1: -133792439588178726693261
Mon Mar 27 12:12:44 2023  A2: -7864947576479875135
Mon Mar 27 12:12:44 2023  A3: 309344689459097
Mon Mar 27 12:12:44 2023  A4: 3652323624
Mon Mar 27 12:12:44 2023  A5: 12240
Mon Mar 27 12:12:44 2023  skew 1.00, size 5.803e-011, alpha -6.655, combined = 1.983e-011 rroots = 3
Mon Mar 27 12:12:44 2023  
Mon Mar 27 12:12:44 2023  commencing square root phase
Mon Mar 27 12:12:44 2023  reading relations for dependency 1
Mon Mar 27 12:12:44 2023  read 235550 cycles
Mon Mar 27 12:12:44 2023  cycles contain 917856 unique relations
Mon Mar 27 12:12:53 2023  read 917856 relations
Mon Mar 27 12:12:55 2023  multiplying 917856 relations
Mon Mar 27 12:13:18 2023  multiply complete, coefficients have about 40.20 million bits
Mon Mar 27 12:13:18 2023  initial square root is modulo 591959
Mon Mar 27 12:13:45 2023  GCD is 1, no factor found
Mon Mar 27 12:13:45 2023  reading relations for dependency 2
Mon Mar 27 12:13:45 2023  read 235445 cycles
Mon Mar 27 12:13:45 2023  cycles contain 920246 unique relations
Mon Mar 27 12:13:54 2023  read 920246 relations
Mon Mar 27 12:13:56 2023  multiplying 920246 relations
Mon Mar 27 12:14:20 2023  multiply complete, coefficients have about 40.31 million bits
Mon Mar 27 12:14:20 2023  initial square root is modulo 612671
Mon Mar 27 12:14:47 2023  sqrtTime: 123
Mon Mar 27 12:14:47 2023  p54 factor: 393335940598570248220591690931018587906711989475133767
Mon Mar 27 12:14:47 2023  p61 factor: 4895622535621595068264902421668657378400326544661427644731849
Mon Mar 27 12:14:47 2023  elapsed time 00:02:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10204-629

c135

name 名前Ignacio Santos
date 日付November 26, 2022 14:49:39 UTC 2022 年 11 月 26 日 (土) 23 時 49 分 39 秒 (日本時間)
composite number 合成数
423819923377386998900366836500516621701919758643643601496333961927172806714900648479025372547394889596932337703725949954041084919068451<135>
prime factors 素因数
425123609222273781570631995094208858459<39>
996933395801584011866763061308693071910634369150554304031434165356909811336641017409526043798489<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3939469468
Step 1 took 4563ms
Step 2 took 2437ms
********** Factor found in step 2: 425123609222273781570631995094208858459
Found prime factor of 39 digits: 425123609222273781570631995094208858459
Prime cofactor 996933395801584011866763061308693071910634369150554304031434165356909811336641017409526043798489 has 96 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10205-629

c155

name 名前anonymous
date 日付June 1, 2024 02:43:45 UTC 2024 年 6 月 1 日 (土) 11 時 43 分 45 秒 (日本時間)
composite number 合成数
58473301678195663648934252405127612869194260862466895101895899680092891702740722450748075965936975161883922125317679396448587670091982684673469959415167459<155>
prime factors 素因数
6051289484551825598589047008037245773626695573050422285804111<61>
9662949000782491904405150441869302143967013726195159527951700369412031780679927656182002445869<94>
factorization results 素因数分解の結果
Sat Jun 01 00:43:12 2024  
Sat Jun 01 00:43:12 2024  
Sat Jun 01 00:43:12 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 01 00:43:12 2024  random seeds: 76b1ffc0 b85765ff
Sat Jun 01 00:43:12 2024  factoring 58473301678195663648934252405127612869194260862466895101895899680092891702740722450748075965936975161883922125317679396448587670091982684673469959415167459 (155 digits)
Sat Jun 01 00:43:12 2024  searching for 15-digit factors
Sat Jun 01 00:43:12 2024  commencing number field sieve (155-digit input)
Sat Jun 01 00:43:12 2024  R0: -100000000000000000000000000000000000000000
Sat Jun 01 00:43:12 2024  R1: 1
Sat Jun 01 00:43:12 2024  A0: -62
Sat Jun 01 00:43:12 2024  A1: 0
Sat Jun 01 00:43:12 2024  A2: 0
Sat Jun 01 00:43:12 2024  A3: 0
Sat Jun 01 00:43:12 2024  A4: 0
Sat Jun 01 00:43:12 2024  A5: 71
Sat Jun 01 00:43:12 2024  skew 0.97, size 1.408e-014, alpha 1.434, combined = 6.003e-012 rroots = 1
Sat Jun 01 00:43:12 2024  
Sat Jun 01 00:43:12 2024  commencing relation filtering
Sat Jun 01 00:43:12 2024  estimated available RAM is 15734.8 MB
Sat Jun 01 00:43:12 2024  commencing duplicate removal, pass 1
Sat Jun 01 00:47:20 2024  error -5 reading relation 39228469
Sat Jun 01 00:47:20 2024  error -15 reading relation 39228997
Sat Jun 01 00:47:20 2024  error -1 reading relation 39229159
Sat Jun 01 00:47:20 2024  error -9 reading relation 39229321
Sat Jun 01 00:47:20 2024  error -1 reading relation 39229849
Sat Jun 01 00:47:20 2024  error -2 reading relation 39230012
Sat Jun 01 00:47:29 2024  error -15 reading relation 40665928
Sat Jun 01 00:47:29 2024  error -5 reading relation 40666552
Sat Jun 01 00:47:29 2024  error -15 reading relation 40666846
Sat Jun 01 00:47:29 2024  error -15 reading relation 40667763
Sat Jun 01 00:47:29 2024  error -15 reading relation 40668097
Sat Jun 01 00:47:46 2024  skipped 1 relations with b > 2^32
Sat Jun 01 00:47:46 2024  skipped 8 relations with composite factors
Sat Jun 01 00:47:46 2024  found 7147514 hash collisions in 43496349 relations
Sat Jun 01 00:48:05 2024  added 33 free relations
Sat Jun 01 00:48:05 2024  commencing duplicate removal, pass 2
Sat Jun 01 00:48:24 2024  found 6767937 duplicates and 36728445 unique relations
Sat Jun 01 00:48:24 2024  memory use: 213.2 MB
Sat Jun 01 00:48:24 2024  reading ideals above 720000
Sat Jun 01 00:48:25 2024  commencing singleton removal, initial pass
Sat Jun 01 00:52:02 2024  memory use: 753.0 MB
Sat Jun 01 00:52:02 2024  reading all ideals from disk
Sat Jun 01 00:52:03 2024  memory use: 1272.2 MB
Sat Jun 01 00:52:06 2024  keeping 39444918 ideals with weight <= 200, target excess is 202784
Sat Jun 01 00:52:08 2024  commencing in-memory singleton removal
Sat Jun 01 00:52:11 2024  begin with 36728445 relations and 39444918 unique ideals
Sat Jun 01 00:52:31 2024  reduce to 15341035 relations and 14861404 ideals in 21 passes
Sat Jun 01 00:52:31 2024  max relations containing the same ideal: 114
Sat Jun 01 00:52:38 2024  removing 1358204 relations and 1236003 ideals in 122201 cliques
Sat Jun 01 00:52:38 2024  commencing in-memory singleton removal
Sat Jun 01 00:52:39 2024  begin with 13982831 relations and 14861404 unique ideals
Sat Jun 01 00:52:47 2024  reduce to 13873482 relations and 13514726 ideals in 10 passes
Sat Jun 01 00:52:47 2024  max relations containing the same ideal: 107
Sat Jun 01 00:52:52 2024  removing 999220 relations and 877019 ideals in 122201 cliques
Sat Jun 01 00:52:53 2024  commencing in-memory singleton removal
Sat Jun 01 00:52:53 2024  begin with 12874262 relations and 13514726 unique ideals
Sat Jun 01 00:52:59 2024  reduce to 12810083 relations and 12572862 ideals in 8 passes
Sat Jun 01 00:52:59 2024  max relations containing the same ideal: 101
Sat Jun 01 00:53:06 2024  relations with 0 large ideals: 4274
Sat Jun 01 00:53:06 2024  relations with 1 large ideals: 1589
Sat Jun 01 00:53:06 2024  relations with 2 large ideals: 26529
Sat Jun 01 00:53:06 2024  relations with 3 large ideals: 212459
Sat Jun 01 00:53:06 2024  relations with 4 large ideals: 919398
Sat Jun 01 00:53:06 2024  relations with 5 large ideals: 2322568
Sat Jun 01 00:53:06 2024  relations with 6 large ideals: 3653595
Sat Jun 01 00:53:06 2024  relations with 7+ large ideals: 5669671
Sat Jun 01 00:53:06 2024  commencing 2-way merge
Sat Jun 01 00:53:14 2024  reduce to 7444996 relation sets and 7207777 unique ideals
Sat Jun 01 00:53:14 2024  ignored 2 oversize relation sets
Sat Jun 01 00:53:14 2024  commencing full merge
Sat Jun 01 00:55:29 2024  memory use: 850.6 MB
Sat Jun 01 00:55:30 2024  found 3471484 cycles, need 3457977
Sat Jun 01 00:55:31 2024  weight of 3457977 cycles is about 311240336 (90.01/cycle)
Sat Jun 01 00:55:31 2024  distribution of cycle lengths:
Sat Jun 01 00:55:31 2024  1 relations: 383306
Sat Jun 01 00:55:31 2024  2 relations: 348830
Sat Jun 01 00:55:31 2024  3 relations: 346613
Sat Jun 01 00:55:31 2024  4 relations: 322267
Sat Jun 01 00:55:31 2024  5 relations: 288839
Sat Jun 01 00:55:31 2024  6 relations: 258611
Sat Jun 01 00:55:31 2024  7 relations: 224744
Sat Jun 01 00:55:31 2024  8 relations: 195159
Sat Jun 01 00:55:31 2024  9 relations: 170325
Sat Jun 01 00:55:31 2024  10+ relations: 919283
Sat Jun 01 00:55:31 2024  heaviest cycle: 28 relations
Sat Jun 01 00:55:32 2024  commencing cycle optimization
Sat Jun 01 00:55:37 2024  start with 24278536 relations
Sat Jun 01 00:56:24 2024  pruned 635251 relations
Sat Jun 01 00:56:24 2024  memory use: 764.3 MB
Sat Jun 01 00:56:24 2024  distribution of cycle lengths:
Sat Jun 01 00:56:24 2024  1 relations: 383306
Sat Jun 01 00:56:24 2024  2 relations: 357002
Sat Jun 01 00:56:24 2024  3 relations: 359078
Sat Jun 01 00:56:24 2024  4 relations: 329916
Sat Jun 01 00:56:24 2024  5 relations: 296606
Sat Jun 01 00:56:24 2024  6 relations: 262633
Sat Jun 01 00:56:24 2024  7 relations: 227629
Sat Jun 01 00:56:24 2024  8 relations: 195933
Sat Jun 01 00:56:24 2024  9 relations: 170105
Sat Jun 01 00:56:24 2024  10+ relations: 875769
Sat Jun 01 00:56:24 2024  heaviest cycle: 28 relations
Sat Jun 01 00:56:28 2024  RelProcTime: 796
Sat Jun 01 00:56:28 2024  elapsed time 00:13:16
Sat Jun 01 00:56:28 2024  
Sat Jun 01 00:56:28 2024  
Sat Jun 01 00:56:28 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 01 00:56:28 2024  random seeds: 816f2bd0 16ac924a
Sat Jun 01 00:56:28 2024  factoring 58473301678195663648934252405127612869194260862466895101895899680092891702740722450748075965936975161883922125317679396448587670091982684673469959415167459 (155 digits)
Sat Jun 01 00:56:29 2024  searching for 15-digit factors
Sat Jun 01 00:56:29 2024  commencing number field sieve (155-digit input)
Sat Jun 01 00:56:29 2024  R0: -100000000000000000000000000000000000000000
Sat Jun 01 00:56:29 2024  R1: 1
Sat Jun 01 00:56:29 2024  A0: -62
Sat Jun 01 00:56:29 2024  A1: 0
Sat Jun 01 00:56:29 2024  A2: 0
Sat Jun 01 00:56:29 2024  A3: 0
Sat Jun 01 00:56:29 2024  A4: 0
Sat Jun 01 00:56:29 2024  A5: 71
Sat Jun 01 00:56:29 2024  skew 0.97, size 1.408e-014, alpha 1.434, combined = 6.003e-012 rroots = 1
Sat Jun 01 00:56:29 2024  
Sat Jun 01 00:56:29 2024  commencing linear algebra
Sat Jun 01 00:56:29 2024  read 3457977 cycles
Sat Jun 01 00:56:35 2024  cycles contain 12522281 unique relations
Sat Jun 01 00:57:25 2024  read 12522281 relations
Sat Jun 01 00:57:48 2024  using 20 quadratic characters above 4294917295
Sat Jun 01 00:58:28 2024  building initial matrix
Sat Jun 01 01:00:11 2024  memory use: 1581.4 MB
Sat Jun 01 01:00:13 2024  read 3457977 cycles
Sat Jun 01 01:00:13 2024  matrix is 3457800 x 3457977 (1280.5 MB) with weight 373749842 (108.08/col)
Sat Jun 01 01:00:13 2024  sparse part has weight 297628257 (86.07/col)
Sat Jun 01 01:00:41 2024  filtering completed in 2 passes
Sat Jun 01 01:00:42 2024  matrix is 3455853 x 3456029 (1280.3 MB) with weight 373675386 (108.12/col)
Sat Jun 01 01:00:42 2024  sparse part has weight 297599711 (86.11/col)
Sat Jun 01 01:00:48 2024  matrix starts at (0, 0)
Sat Jun 01 01:00:48 2024  matrix is 3455853 x 3456029 (1280.3 MB) with weight 373675386 (108.12/col)
Sat Jun 01 01:00:48 2024  sparse part has weight 297599711 (86.11/col)
Sat Jun 01 01:00:48 2024  saving the first 112 matrix rows for later
Sat Jun 01 01:00:49 2024  matrix includes 128 packed rows
Sat Jun 01 01:00:50 2024  matrix is 3455741 x 3456029 (1179.4 MB) with weight 284962019 (82.45/col)
Sat Jun 01 01:00:50 2024  sparse part has weight 267692582 (77.46/col)
Sat Jun 01 01:00:50 2024  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Sat Jun 01 01:00:59 2024  commencing Lanczos iteration (10 threads)
Sat Jun 01 01:00:59 2024  memory use: 1346.3 MB
Sat Jun 01 01:01:07 2024  linear algebra at 0.0%, ETA 5h 2m
Sat Jun 01 01:01:10 2024  checkpointing every 670000 dimensions
Sat Jun 01 06:28:53 2024  lanczos halted after 27161 iterations (dim = 3455739)
Sat Jun 01 06:28:59 2024  recovered 38 nontrivial dependencies
Sat Jun 01 06:28:59 2024  BLanczosTime: 19950
Sat Jun 01 06:28:59 2024  elapsed time 05:32:31
Sat Jun 01 06:28:59 2024  
Sat Jun 01 06:28:59 2024  
Sat Jun 01 06:28:59 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 01 06:28:59 2024  random seeds: d6249424 643d65f2
Sat Jun 01 06:28:59 2024  factoring 58473301678195663648934252405127612869194260862466895101895899680092891702740722450748075965936975161883922125317679396448587670091982684673469959415167459 (155 digits)
Sat Jun 01 06:29:00 2024  searching for 15-digit factors
Sat Jun 01 06:29:00 2024  commencing number field sieve (155-digit input)
Sat Jun 01 06:29:00 2024  R0: -100000000000000000000000000000000000000000
Sat Jun 01 06:29:00 2024  R1: 1
Sat Jun 01 06:29:00 2024  A0: -62
Sat Jun 01 06:29:00 2024  A1: 0
Sat Jun 01 06:29:00 2024  A2: 0
Sat Jun 01 06:29:00 2024  A3: 0
Sat Jun 01 06:29:00 2024  A4: 0
Sat Jun 01 06:29:00 2024  A5: 71
Sat Jun 01 06:29:00 2024  skew 0.97, size 1.408e-014, alpha 1.434, combined = 6.003e-012 rroots = 1
Sat Jun 01 06:29:00 2024  
Sat Jun 01 06:29:00 2024  commencing square root phase
Sat Jun 01 06:29:00 2024  reading relations for dependency 1
Sat Jun 01 06:29:00 2024  read 1728610 cycles
Sat Jun 01 06:29:03 2024  cycles contain 6261618 unique relations
Sat Jun 01 06:29:31 2024  read 6261618 relations
Sat Jun 01 06:29:52 2024  multiplying 6261618 relations
Sat Jun 01 06:32:14 2024  multiply complete, coefficients have about 187.10 million bits
Sat Jun 01 06:32:14 2024  initial square root is modulo 5183821
Sat Jun 01 06:34:58 2024  sqrtTime: 358
Sat Jun 01 06:34:58 2024  p61 factor: 6051289484551825598589047008037245773626695573050422285804111
Sat Jun 01 06:34:58 2024  p94 factor: 9662949000782491904405150441869302143967013726195159527951700369412031780679927656182002445869
Sat Jun 01 06:34:58 2024  elapsed time 00:05:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e63456cccApril 9, 2023 14:33:57 UTC 2023 年 4 月 9 日 (日) 23 時 33 分 57 秒 (日本時間)
4511e65000228dddAugust 1, 2023 05:55:25 UTC 2023 年 8 月 1 日 (火) 14 時 55 分 25 秒 (日本時間)
1584dddAugust 2, 2023 11:01:43 UTC 2023 年 8 月 2 日 (水) 20 時 1 分 43 秒 (日本時間)
336dddAugust 2, 2023 11:29:56 UTC 2023 年 8 月 2 日 (水) 20 時 29 分 56 秒 (日本時間)
480dddAugust 2, 2023 12:32:46 UTC 2023 年 8 月 2 日 (水) 21 時 32 分 46 秒 (日本時間)
2372dddAugust 2, 2023 15:58:55 UTC 2023 年 8 月 3 日 (木) 0 時 58 分 55 秒 (日本時間)
5043e677762208dddAugust 3, 2023 03:05:00 UTC 2023 年 8 月 3 日 (木) 12 時 5 分 0 秒 (日本時間)
444dddAugust 3, 2023 05:21:13 UTC 2023 年 8 月 3 日 (木) 14 時 21 分 13 秒 (日本時間)
264dddAugust 3, 2023 06:46:08 UTC 2023 年 8 月 3 日 (木) 15 時 46 分 8 秒 (日本時間)
312dddAugust 3, 2023 08:27:16 UTC 2023 年 8 月 3 日 (木) 17 時 27 分 16 秒 (日本時間)
228dddAugust 3, 2023 09:39:00 UTC 2023 年 8 月 3 日 (木) 18 時 39 分 0 秒 (日本時間)
864dddAugust 3, 2023 14:02:56 UTC 2023 年 8 月 3 日 (木) 23 時 2 分 56 秒 (日本時間)
3456dddAugust 4, 2023 08:01:57 UTC 2023 年 8 月 4 日 (金) 17 時 1 分 57 秒 (日本時間)
5511e74000 / 14654dddMay 24, 2024 02:55:38 UTC 2024 年 5 月 24 日 (金) 11 時 55 分 38 秒 (日本時間)

71×10206-629

c202

name 名前anonymous
date 日付July 16, 2023 13:09:06 UTC 2023 年 7 月 16 日 (日) 22 時 9 分 6 秒 (日本時間)
composite number 合成数
3315411433219675425890281361690841152567762807060799042172967349267854424486601535175581387747173261533662633071742701658733027194779020823585556760310696077634794822728219381241495502714434741029010317<202>
prime factors 素因数
3008982200654092249839180657786719<34>
composite cofactor 合成数の残り
1101838167237736275117570002864500370371810616118442180284437581317946517746942478863347092808723389018945993810890733259191658350347787532474133133362548643984319850643<169>
factorization results 素因数分解の結果
prp34 = 3008982200654092249839180657786719 (curve 31 stg2 B1=1000000 sigma=464605151 thread=11)
software ソフトウェア
yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350dddAugust 1, 2023 02:35:24 UTC 2023 年 8 月 1 日 (火) 11 時 35 分 24 秒 (日本時間)
4511e65400dddAugust 19, 2023 12:27:55 UTC 2023 年 8 月 19 日 (土) 21 時 27 分 55 秒 (日本時間)
5043e67553dddAugust 20, 2023 18:28:34 UTC 2023 年 8 月 21 日 (月) 3 時 28 分 34 秒 (日本時間)
5511e717769dddJuly 17, 2024 13:38:05 UTC 2024 年 7 月 17 日 (水) 22 時 38 分 5 秒 (日本時間)

71×10207-629

c130

name 名前Ignacio Santos
date 日付November 29, 2022 18:36:29 UTC 2022 年 11 月 30 日 (水) 3 時 36 分 29 秒 (日本時間)
composite number 合成数
7101720485269883466367388683899428001326101953561474616901724835443177179834826006904231951127311303461118842406151224404980113093<130>
prime factors 素因数
38708851163241386026675770484493685790396747141290790901<56>
183465028587926774479834809789604896129661301624476252936644488901119189393<75>
factorization results 素因数分解の結果
Number: 1
N=7101720485269883466367388683899428001326101953561474616901724835443177179834826006904231951127311303461118842406151224404980113093
  ( 130 digits)
Divisors found:
 r1=38708851163241386026675770484493685790396747141290790901 (pp56)
 r2=183465028587926774479834809789604896129661301624476252936644488901119189393 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 106.81 hours.
Scaled time: 839.75 units (timescale=7.862).
Factorization parameters were as follows:
name: 1
n: 7101720485269883466367388683899428001326101953561474616901724835443177179834826006904231951127311303461118842406151224404980113093
skew: 148995.62
# norm 2.63e+018
c5: 12600
c4: -24703822527
c3: 42210129998296974
c2: 268326613752411307388
c1: -53590746180146161467490756
c0: 694945050494915434134380523840
# alpha -5.98
Y1: 108009270700507
Y0: -14131878911694167966202547
# Murphy_E 6.63e-011
# M 5421775109088210871421279466855939628198785219517231283462699967356261174575912297761916022691134218311718061107079398582779708578
type: gnfs
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [3600000, 10300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1582036 x 1582263
Total sieving time: 106.22 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 106.81 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 13:57:13 UTC 2022 年 11 月 26 日 (土) 22 時 57 分 13 秒 (日本時間)

71×10208-629

c202

name 名前anonymous
date 日付July 16, 2023 14:50:03 UTC 2023 年 7 月 16 日 (日) 23 時 50 分 3 秒 (日本時間)
composite number 合成数
6784400671491311982499533357455222143351175542659843203136097810341372121911513871356946449425952748197313075380482089574002512980230695995993878291941704836564838928103680319499023036747811347565629951<202>
prime factors 素因数
545193275307557401716452049262413397950319<42>
composite cofactor 合成数の残り
12444028528532489512785492078008708094324222513412024225236973758926688905844859090537352477739488587486095116240375855952072533989491091324934817786214078025329<161>
factorization results 素因数分解の結果
07/16/23 21:26:21, 
07/16/23 21:26:21, ****************************
07/16/23 21:26:21, Starting factorization of 6784400671491311982499533357455222143351175542659843203136097810341372121911513871356946449425952748197313075380482089574002512980230695995993878291941704836564838928103680319499023036747811347565629951
07/16/23 21:26:21, using pretesting plan: normal
07/16/23 21:26:21, no tune info: using qs/gnfs crossover of 100 digits
07/16/23 21:26:21, no tune info: using qs/snfs crossover of 75 digits
07/16/23 21:26:21, ****************************
07/16/23 21:26:21, rho: x^2 + 3, starting 1000 iterations on C202
07/16/23 21:26:22, rho: x^2 + 2, starting 1000 iterations on C202
07/16/23 21:26:22, rho: x^2 + 1, starting 1000 iterations on C202
07/16/23 21:26:22, pm1: starting B1 = 150K, B2 = gmp-ecm default on C202
07/16/23 21:26:22, current ECM pretesting depth: 0.000000
07/16/23 21:26:22, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.153846
07/16/23 21:26:22, Finished 30 curves using GMP-ECM method on C202 input, B1=2k, B2=gmp-ecm default
07/16/23 21:26:22, current ECM pretesting depth: 15.177725
07/16/23 21:26:22, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.153846
07/16/23 21:26:23, Finished 74 curves using GMP-ECM method on C202 input, B1=11k, B2=gmp-ecm default
07/16/23 21:26:23, current ECM pretesting depth: 20.242996
07/16/23 21:26:23, scheduled 214 curves at B1=50000 toward target pretesting depth of 62.153846
07/16/23 21:26:32, Finished 214 curves using GMP-ECM method on C202 input, B1=50k, B2=gmp-ecm default
07/16/23 21:26:32, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C202
07/16/23 21:26:33, current ECM pretesting depth: 25.332854
07/16/23 21:26:33, scheduled 430 curves at B1=250000 toward target pretesting depth of 62.153846
07/16/23 21:27:53, Finished 430 curves using GMP-ECM method on C202 input, B1=250k, B2=gmp-ecm default
07/16/23 21:27:53, pm1: starting B1 = 15M, B2 = gmp-ecm default on C202
07/16/23 21:27:58, current ECM pretesting depth: 30.453325
07/16/23 21:27:58, scheduled 904 curves at B1=1000000 toward target pretesting depth of 62.153846
07/16/23 21:39:33, Finished 904 curves using GMP-ECM method on C202 input, B1=1M, B2=gmp-ecm default
07/16/23 21:39:33, current ECM pretesting depth: 35.555956
07/16/23 21:39:33, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 62.153846
07/16/23 21:52:38, prp42 = 545193275307557401716452049262413397950319 (curve 353 stg2 B1=3000000 sigma=3748292945 thread=11)
07/16/23 21:52:50, Finished 363 curves using GMP-ECM method on C202 input, B1=3M, B2=gmp-ecm default
07/16/23 21:52:50, current ECM pretesting depth: 36.328296
07/16/23 21:52:50, scheduled 1987 curves at B1=3000000 toward target pretesting depth of 49.538462
07/16/23 22:48:45, Finished 1987 curves using GMP-ECM method on C161 input, B1=3M, B2=gmp-ecm default
07/16/23 22:48:45, ecm work completed:
07/16/23 22:48:45,       t15: 1600.07
07/16/23 22:48:45,      t20: 1029.11
07/16/23 22:48:45,      t25: 268.48
07/16/23 22:48:45,      t30: 52.25
07/16/23 22:48:45,      t35: 8.39
07/16/23 22:48:45,      t40: 1.11
07/16/23 22:48:45,      t45: 0.13
07/16/23 22:48:45,      t50: 0.01
07/16/23 22:48:45,      estimated sum of completed work is t40.63
07/16/23 22:48:45, c161 cofactor = 12444028528532489512785492078008708094324222513412024225236973758926688905844859090537352477739488587486095116240375855952072533989491091324934817786214078025329
07/16/23 22:48:45, Total factoring time = 4943.8595 seconds

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350dddJuly 18, 2023 13:50:26 UTC 2023 年 7 月 18 日 (火) 22 時 50 分 26 秒 (日本時間)
4511e64480dddAugust 21, 2023 12:20:33 UTC 2023 年 8 月 21 日 (月) 21 時 20 分 33 秒 (日本時間)
5043e67553dddAugust 31, 2023 11:04:53 UTC 2023 年 8 月 31 日 (木) 20 時 4 分 53 秒 (日本時間)

71×10209-629

c179

composite cofactor 合成数の残り
17702339352899309801813119329038978657317717960270544633375219366115889590719908263458155994857262302361524686430383866751340642479408579927920619853720452261020632862548434908711<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350cccMay 30, 2023 14:03:13 UTC 2023 年 5 月 30 日 (火) 23 時 3 分 13 秒 (日本時間)
4511e65000dddFebruary 16, 2024 04:45:22 UTC 2024 年 2 月 16 日 (金) 13 時 45 分 22 秒 (日本時間)
5043e67776cccApril 6, 2024 03:46:41 UTC 2024 年 4 月 6 日 (土) 12 時 46 分 41 秒 (日本時間)

71×10210-629

c192

composite cofactor 合成数の残り
964441813528611138280413877477226762901038016142755606379429149327220868949702861006685010538523529513713628903723978274414004797505526028618587161429580163971622729649969700075725400782328291<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 5, 2023 15:27:21 UTC 2023 年 8 月 6 日 (日) 0 時 27 分 21 秒 (日本時間)
4511e65000dddFebruary 18, 2024 19:06:08 UTC 2024 年 2 月 19 日 (月) 4 時 6 分 8 秒 (日本時間)
5043e67553cccMay 20, 2024 04:37:49 UTC 2024 年 5 月 20 日 (月) 13 時 37 分 49 秒 (日本時間)

71×10211-629

c166

composite cofactor 合成数の残り
5612990495792249570257157703573162426576884383174238941436901806595435517541757234068373584415840604967317168002695342757058862072035653082616442752782237977628885279<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350xyzApril 18, 2023 03:57:22 UTC 2023 年 4 月 18 日 (火) 12 時 57 分 22 秒 (日本時間)
4511e64480cccOctober 22, 2023 13:24:18 UTC 2023 年 10 月 22 日 (日) 22 時 24 分 18 秒 (日本時間)
5043e67553dddFebruary 15, 2024 15:02:22 UTC 2024 年 2 月 16 日 (金) 0 時 2 分 22 秒 (日本時間)

71×10212-629

c188

name 名前anonymous
date 日付August 9, 2023 01:34:07 UTC 2023 年 8 月 9 日 (水) 10 時 34 分 7 秒 (日本時間)
composite number 合成数
14333012133855643543998753738990193092973420342827084376920149140487380080714589033001661861722595417463659229737753065709302797546894125367852996872976395330397309967465907285850861888849<188>
prime factors 素因数
14610173611382147561466736545527711<35>
981029556191544525745154076768783977503391617115470045641650241199870647602231206407348251263250292931732934476662483041050934449358344372924001228274959<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:14385753936139028710
Step 1 took 10594ms
********** Factor found in step 2: 14610173611382147561466736545527711
Found prime factor of 35 digits: 14610173611382147561466736545527711
Prime cofactor 981029556191544525745154076768783977503391617115470045641650241199870647602231206407348251263250292931732934476662483041050934449358344372924001228274959 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10215-629

c188

name 名前anonymous
date 日付May 21, 2024 02:07:38 UTC 2024 年 5 月 21 日 (火) 11 時 7 分 38 秒 (日本時間)
composite number 合成数
44267235885790289640397540713395003269773921684873932967244882517622195952188165439260681638862032062938751360286558182311367756958046963238579300013921501563367578545073547713040148581551<188>
prime factors 素因数
340372630241894352069381679839786449729551389470299<51>
130055215821350463684604644004122080412039127147165528285226344491865909835357237715457198283735691637787332679787794269794197391710393149<138>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:11830115394393902538
Step 1 took 189562ms
********** Factor found in step 2: 340372630241894352069381679839786449729551389470299
Found prime factor of 51 digits: 340372630241894352069381679839786449729551389470299
Prime cofactor 130055215821350463684604644004122080412039127147165528285226344491865909835357237715457198283735691637787332679787794269794197391710393149 has 138 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 6, 2023 06:08:08 UTC 2023 年 8 月 6 日 (日) 15 時 8 分 8 秒 (日本時間)
4511e65000dddFebruary 19, 2024 03:08:12 UTC 2024 年 2 月 19 日 (月) 12 時 8 分 12 秒 (日本時間)

71×10216-629

c210

composite cofactor 合成数の残り
446035244850670729582865451784764800526819138098329110510358175976182371272375091065005641466341244377772855056399397699134099843016953246824357841487441852552483176838412474874551959167094138050270383424335203<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 6, 2023 07:05:01 UTC 2023 年 8 月 6 日 (日) 16 時 5 分 1 秒 (日本時間)
4511e64480dddMarch 4, 2024 06:12:32 UTC 2024 年 3 月 4 日 (月) 15 時 12 分 32 秒 (日本時間)

71×10218-629

c199

composite cofactor 合成数の残り
1729915495683332513336376741634614452280520512276916941943210585088959996847982387800400456184501371062177573112784528491738904295595523222140412225832955521708579703072419886346967289987738043050421<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 9, 2023 03:07:21 UTC 2023 年 8 月 9 日 (水) 12 時 7 分 21 秒 (日本時間)
4511e64480cccMarch 24, 2024 23:50:54 UTC 2024 年 3 月 25 日 (月) 8 時 50 分 54 秒 (日本時間)

71×10219-629

c210

name 名前anonymous
date 日付April 7, 2024 06:08:54 UTC 2024 年 4 月 7 日 (日) 15 時 8 分 54 秒 (日本時間)
composite number 合成数
853971888198376914476778328403431683011348581638820977141326991697870699029530197763236373813302114326513271378331485394577527759076148245538983239736009357019918303415847146692645494140824675738847316715874491<210>
prime factors 素因数
11553028003598169325497933004639761907073<41>
73917581428211629052296207688835080121771806380292835487597596798622192068902810099983240288191998820870988031538572845430724666862844043999480463228923255487660117982267<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:2138665244663757738
Step 1 took 68781ms
Step 2 took 20375ms
********** Factor found in step 2: 11553028003598169325497933004639761907073
Found prime factor of 41 digits: 11553028003598169325497933004639761907073
Prime cofactor 73917581428211629052296207688835080121771806380292835487597596798622192068902810099983240288191998820870988031538572845430724666862844043999480463228923255487660117982267 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e65000cccAugust 10, 2023 03:15:31 UTC 2023 年 8 月 10 日 (木) 12 時 15 分 31 秒 (日本時間)

71×10220-629

c192

composite cofactor 合成数の残り
912945986546248731381507359427530206529287690168415294428743440266246259947577797258022257192659226816764065206540114638451722329586725832096431647915590500368800286153268439284333337763279741<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 9, 2023 12:44:50 UTC 2023 年 8 月 9 日 (水) 21 時 44 分 50 秒 (日本時間)
4511e64480dddApril 7, 2024 20:36:55 UTC 2024 年 4 月 8 日 (月) 5 時 36 分 55 秒 (日本時間)
5043e67553cccMay 19, 2024 13:25:29 UTC 2024 年 5 月 19 日 (日) 22 時 25 分 29 秒 (日本時間)

71×10221-629

c212

name 名前anonymous
date 日付October 21, 2023 19:27:23 UTC 2023 年 10 月 22 日 (日) 4 時 27 分 23 秒 (日本時間)
composite number 合成数
14217639752903982995846169335545609116579604074353796310688649481929098683186961199575820223120929876210737415216927025110255633700664592547373470792850012434206456336977056814415022055316778692322925263450277111<212>
prime factors 素因数
619095102547520882582049273649224500434433<42>
composite cofactor 合成数の残り
22965194998958430075493612209064872784708153908303167714990146275922827435416063396851086315623215872141144576391774167923183497128980484672039100830189629653118995499767<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:5482699779768809262
Step 1 took 16281ms
********** Factor found in step 1: 619095102547520882582049273649224500434433
Found prime factor of 42 digits: 619095102547520882582049273649224500434433
Composite cofactor 22965194998958430075493612209064872784708153908303167714990146275922827435416063396851086315623215872141144576391774167923183497128980484672039100830189629653118995499767 has 170 digits

c170

name 名前anonymous
date 日付July 5, 2024 06:02:03 UTC 2024 年 7 月 5 日 (金) 15 時 2 分 3 秒 (日本時間)
composite number 合成数
22965194998958430075493612209064872784708153908303167714990146275922827435416063396851086315623215872141144576391774167923183497128980484672039100830189629653118995499767<170>
prime factors 素因数
64156890073801497781320208710814235864047420810319<50>
80351502342165860379483611021563573629493422538199<50>
4454847403219464552386337725174109296346549521446478571708190951859407<70>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:7121098009825234426
Step 1 took 279563ms
********** Factor found in step 2: 64156890073801497781320208710814235864047420810319
Found prime factor of 50 digits: 64156890073801497781320208710814235864047420810319
Composite cofactor 357953681553780307001896356927547057271797728332938433766280799752717141006461547540343034814271637111403037420534987993 has 120 digits

Fri Jul 05 13:31:47 2024  
Fri Jul 05 13:31:47 2024  
Fri Jul 05 13:31:47 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Jul 05 13:31:47 2024  random seeds: cccec538 5a689de1
Fri Jul 05 13:31:47 2024  factoring 357953681553780307001896356927547057271797728332938433766280799752717141006461547540343034814271637111403037420534987993 (120 digits)
Fri Jul 05 13:31:47 2024  searching for 15-digit factors
Fri Jul 05 13:31:47 2024  commencing number field sieve (120-digit input)
Fri Jul 05 13:31:47 2024  R0: -218418593963269571843656
Fri Jul 05 13:31:47 2024  R1: 32301450983021
Fri Jul 05 13:31:47 2024  A0: 1312806626555483380321272955725
Fri Jul 05 13:31:47 2024  A1: 11460657980768329158462792
Fri Jul 05 13:31:47 2024  A2: -38150903464308738583
Fri Jul 05 13:31:47 2024  A3: -278372132133728
Fri Jul 05 13:31:47 2024  A4: 519123042
Fri Jul 05 13:31:47 2024  A5: 720
Fri Jul 05 13:31:47 2024  skew 327024.51, size 2.155e-011, alpha -6.610, combined = 3.406e-010 rroots = 5
Fri Jul 05 13:31:47 2024  
Fri Jul 05 13:31:47 2024  commencing relation filtering
Fri Jul 05 13:31:47 2024  estimated available RAM is 15734.8 MB
Fri Jul 05 13:31:47 2024  commencing duplicate removal, pass 1
Fri Jul 05 13:32:52 2024  skipped 1 relations with composite factors
Fri Jul 05 13:32:52 2024  found 1497864 hash collisions in 11151546 relations
Fri Jul 05 13:33:03 2024  added 77 free relations
Fri Jul 05 13:33:03 2024  commencing duplicate removal, pass 2
Fri Jul 05 13:33:07 2024  found 1292415 duplicates and 9859208 unique relations
Fri Jul 05 13:33:07 2024  memory use: 49.3 MB
Fri Jul 05 13:33:07 2024  reading ideals above 100000
Fri Jul 05 13:33:07 2024  commencing singleton removal, initial pass
Fri Jul 05 13:34:02 2024  memory use: 344.5 MB
Fri Jul 05 13:34:02 2024  reading all ideals from disk
Fri Jul 05 13:34:02 2024  memory use: 341.5 MB
Fri Jul 05 13:34:03 2024  keeping 10710942 ideals with weight <= 200, target excess is 49085
Fri Jul 05 13:34:03 2024  commencing in-memory singleton removal
Fri Jul 05 13:34:04 2024  begin with 9859208 relations and 10710942 unique ideals
Fri Jul 05 13:34:08 2024  reduce to 3762986 relations and 3548953 ideals in 18 passes
Fri Jul 05 13:34:08 2024  max relations containing the same ideal: 107
Fri Jul 05 13:34:09 2024  removing 639928 relations and 561381 ideals in 78547 cliques
Fri Jul 05 13:34:09 2024  commencing in-memory singleton removal
Fri Jul 05 13:34:09 2024  begin with 3123058 relations and 3548953 unique ideals
Fri Jul 05 13:34:10 2024  reduce to 3034063 relations and 2896072 ideals in 10 passes
Fri Jul 05 13:34:10 2024  max relations containing the same ideal: 92
Fri Jul 05 13:34:11 2024  removing 477448 relations and 398901 ideals in 78547 cliques
Fri Jul 05 13:34:12 2024  commencing in-memory singleton removal
Fri Jul 05 13:34:12 2024  begin with 2556615 relations and 2896072 unique ideals
Fri Jul 05 13:34:13 2024  reduce to 2494578 relations and 2433471 ideals in 10 passes
Fri Jul 05 13:34:13 2024  max relations containing the same ideal: 79
Fri Jul 05 13:34:14 2024  relations with 0 large ideals: 163
Fri Jul 05 13:34:14 2024  relations with 1 large ideals: 566
Fri Jul 05 13:34:14 2024  relations with 2 large ideals: 9319
Fri Jul 05 13:34:14 2024  relations with 3 large ideals: 69061
Fri Jul 05 13:34:14 2024  relations with 4 large ideals: 268444
Fri Jul 05 13:34:14 2024  relations with 5 large ideals: 589165
Fri Jul 05 13:34:14 2024  relations with 6 large ideals: 747897
Fri Jul 05 13:34:14 2024  relations with 7+ large ideals: 809963
Fri Jul 05 13:34:14 2024  commencing 2-way merge
Fri Jul 05 13:34:15 2024  reduce to 1426952 relation sets and 1365845 unique ideals
Fri Jul 05 13:34:15 2024  commencing full merge
Fri Jul 05 13:34:37 2024  memory use: 169.2 MB
Fri Jul 05 13:34:37 2024  found 647653 cycles, need 644045
Fri Jul 05 13:34:37 2024  weight of 644045 cycles is about 57986267 (90.03/cycle)
Fri Jul 05 13:34:37 2024  distribution of cycle lengths:
Fri Jul 05 13:34:37 2024  1 relations: 60171
Fri Jul 05 13:34:37 2024  2 relations: 58192
Fri Jul 05 13:34:37 2024  3 relations: 57413
Fri Jul 05 13:34:37 2024  4 relations: 52109
Fri Jul 05 13:34:37 2024  5 relations: 49362
Fri Jul 05 13:34:37 2024  6 relations: 44923
Fri Jul 05 13:34:37 2024  7 relations: 40767
Fri Jul 05 13:34:37 2024  8 relations: 36992
Fri Jul 05 13:34:37 2024  9 relations: 33244
Fri Jul 05 13:34:37 2024  10+ relations: 210872
Fri Jul 05 13:34:37 2024  heaviest cycle: 28 relations
Fri Jul 05 13:34:37 2024  commencing cycle optimization
Fri Jul 05 13:34:38 2024  start with 5057688 relations
Fri Jul 05 13:34:47 2024  pruned 153188 relations
Fri Jul 05 13:34:47 2024  memory use: 151.2 MB
Fri Jul 05 13:34:47 2024  distribution of cycle lengths:
Fri Jul 05 13:34:47 2024  1 relations: 60171
Fri Jul 05 13:34:47 2024  2 relations: 59482
Fri Jul 05 13:34:47 2024  3 relations: 59398
Fri Jul 05 13:34:47 2024  4 relations: 53661
Fri Jul 05 13:34:47 2024  5 relations: 50875
Fri Jul 05 13:34:47 2024  6 relations: 46061
Fri Jul 05 13:34:47 2024  7 relations: 41533
Fri Jul 05 13:34:47 2024  8 relations: 37708
Fri Jul 05 13:34:47 2024  9 relations: 33786
Fri Jul 05 13:34:47 2024  10+ relations: 201370
Fri Jul 05 13:34:47 2024  heaviest cycle: 28 relations
Fri Jul 05 13:34:47 2024  RelProcTime: 180
Fri Jul 05 13:34:47 2024  elapsed time 00:03:00
Fri Jul 05 13:34:47 2024  
Fri Jul 05 13:34:47 2024  
Fri Jul 05 13:34:47 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Jul 05 13:34:47 2024  random seeds: c4a9f0b8 6313fcf9
Fri Jul 05 13:34:47 2024  factoring 357953681553780307001896356927547057271797728332938433766280799752717141006461547540343034814271637111403037420534987993 (120 digits)
Fri Jul 05 13:34:48 2024  searching for 15-digit factors
Fri Jul 05 13:34:48 2024  commencing number field sieve (120-digit input)
Fri Jul 05 13:34:48 2024  R0: -218418593963269571843656
Fri Jul 05 13:34:48 2024  R1: 32301450983021
Fri Jul 05 13:34:48 2024  A0: 1312806626555483380321272955725
Fri Jul 05 13:34:48 2024  A1: 11460657980768329158462792
Fri Jul 05 13:34:48 2024  A2: -38150903464308738583
Fri Jul 05 13:34:48 2024  A3: -278372132133728
Fri Jul 05 13:34:48 2024  A4: 519123042
Fri Jul 05 13:34:48 2024  A5: 720
Fri Jul 05 13:34:48 2024  skew 327024.51, size 2.155e-011, alpha -6.610, combined = 3.406e-010 rroots = 5
Fri Jul 05 13:34:48 2024  
Fri Jul 05 13:34:48 2024  commencing linear algebra
Fri Jul 05 13:34:48 2024  read 644045 cycles
Fri Jul 05 13:34:49 2024  cycles contain 2403692 unique relations
Fri Jul 05 13:34:59 2024  read 2403692 relations
Fri Jul 05 13:35:02 2024  using 20 quadratic characters above 4294917295
Fri Jul 05 13:35:09 2024  building initial matrix
Fri Jul 05 13:35:26 2024  memory use: 308.4 MB
Fri Jul 05 13:35:27 2024  read 644045 cycles
Fri Jul 05 13:35:27 2024  matrix is 643868 x 644045 (235.9 MB) with weight 74098915 (115.05/col)
Fri Jul 05 13:35:27 2024  sparse part has weight 54746084 (85.00/col)
Fri Jul 05 13:35:31 2024  filtering completed in 2 passes
Fri Jul 05 13:35:31 2024  matrix is 643635 x 643812 (235.8 MB) with weight 74085997 (115.07/col)
Fri Jul 05 13:35:31 2024  sparse part has weight 54741143 (85.03/col)
Fri Jul 05 13:35:32 2024  matrix starts at (0, 0)
Fri Jul 05 13:35:32 2024  matrix is 643635 x 643812 (235.8 MB) with weight 74085997 (115.07/col)
Fri Jul 05 13:35:32 2024  sparse part has weight 54741143 (85.03/col)
Fri Jul 05 13:35:32 2024  saving the first 112 matrix rows for later
Fri Jul 05 13:35:32 2024  matrix includes 128 packed rows
Fri Jul 05 13:35:32 2024  matrix is 643523 x 643812 (214.2 MB) with weight 53457663 (83.03/col)
Fri Jul 05 13:35:32 2024  sparse part has weight 48419006 (75.21/col)
Fri Jul 05 13:35:32 2024  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Fri Jul 05 13:35:34 2024  commencing Lanczos iteration (10 threads)
Fri Jul 05 13:35:34 2024  memory use: 239.1 MB
Fri Jul 05 13:35:36 2024  linear algebra at 0.5%, ETA 0h 6m
Fri Jul 05 13:42:47 2024  lanczos halted after 5060 iterations (dim = 643523)
Fri Jul 05 13:42:48 2024  recovered 29 nontrivial dependencies
Fri Jul 05 13:42:48 2024  BLanczosTime: 480
Fri Jul 05 13:42:48 2024  elapsed time 00:08:01
Fri Jul 05 13:42:48 2024  
Fri Jul 05 13:42:48 2024  
Fri Jul 05 13:42:48 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Jul 05 13:42:48 2024  random seeds: 77e612c8 ef6616a3
Fri Jul 05 13:42:48 2024  factoring 357953681553780307001896356927547057271797728332938433766280799752717141006461547540343034814271637111403037420534987993 (120 digits)
Fri Jul 05 13:42:48 2024  searching for 15-digit factors
Fri Jul 05 13:42:48 2024  commencing number field sieve (120-digit input)
Fri Jul 05 13:42:48 2024  R0: -218418593963269571843656
Fri Jul 05 13:42:48 2024  R1: 32301450983021
Fri Jul 05 13:42:48 2024  A0: 1312806626555483380321272955725
Fri Jul 05 13:42:48 2024  A1: 11460657980768329158462792
Fri Jul 05 13:42:48 2024  A2: -38150903464308738583
Fri Jul 05 13:42:48 2024  A3: -278372132133728
Fri Jul 05 13:42:48 2024  A4: 519123042
Fri Jul 05 13:42:48 2024  A5: 720
Fri Jul 05 13:42:48 2024  skew 327024.51, size 2.155e-011, alpha -6.610, combined = 3.406e-010 rroots = 5
Fri Jul 05 13:42:48 2024  
Fri Jul 05 13:42:48 2024  commencing square root phase
Fri Jul 05 13:42:48 2024  reading relations for dependency 1
Fri Jul 05 13:42:48 2024  read 321611 cycles
Fri Jul 05 13:42:49 2024  cycles contain 1200148 unique relations
Fri Jul 05 13:42:54 2024  read 1200148 relations
Fri Jul 05 13:42:57 2024  multiplying 1200148 relations
Fri Jul 05 13:43:25 2024  multiply complete, coefficients have about 48.07 million bits
Fri Jul 05 13:43:25 2024  initial square root is modulo 7962769
Fri Jul 05 13:43:57 2024  GCD is 1, no factor found
Fri Jul 05 13:43:57 2024  reading relations for dependency 2
Fri Jul 05 13:43:57 2024  read 321713 cycles
Fri Jul 05 13:43:58 2024  cycles contain 1202072 unique relations
Fri Jul 05 13:44:03 2024  read 1202072 relations
Fri Jul 05 13:44:06 2024  multiplying 1202072 relations
Fri Jul 05 13:44:34 2024  multiply complete, coefficients have about 48.14 million bits
Fri Jul 05 13:44:34 2024  initial square root is modulo 8171089
Fri Jul 05 13:45:06 2024  GCD is N, no factor found
Fri Jul 05 13:45:06 2024  reading relations for dependency 3
Fri Jul 05 13:45:06 2024  read 321626 cycles
Fri Jul 05 13:45:06 2024  cycles contain 1202070 unique relations
Fri Jul 05 13:45:12 2024  read 1202070 relations
Fri Jul 05 13:45:14 2024  multiplying 1202070 relations
Fri Jul 05 13:45:42 2024  multiply complete, coefficients have about 48.15 million bits
Fri Jul 05 13:45:42 2024  initial square root is modulo 8185169
Fri Jul 05 13:46:14 2024  sqrtTime: 206
Fri Jul 05 13:46:14 2024  p50 factor: 80351502342165860379483611021563573629493422538199
Fri Jul 05 13:46:14 2024  p70 factor: 4454847403219464552386337725174109296346549521446478571708190951859407
Fri Jul 05 13:46:14 2024  elapsed time 00:03:26

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350cccSeptember 4, 2023 03:35:13 UTC 2023 年 9 月 4 日 (月) 12 時 35 分 13 秒 (日本時間)
4511e64480cccApril 21, 2024 18:26:40 UTC 2024 年 4 月 22 日 (月) 3 時 26 分 40 秒 (日本時間)
5043e67553cccJune 22, 2024 05:01:07 UTC 2024 年 6 月 22 日 (土) 14 時 1 分 7 秒 (日本時間)

71×10222-629

c191

composite cofactor 合成数の残り
45206035250726622668392430503762812276295878563727548890376901717499921553196579579366663158088055994910538939734721522820322956706059243083218556928562903519132965029113579917285568067663223<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 9, 2023 14:46:02 UTC 2023 年 8 月 9 日 (水) 23 時 46 分 2 秒 (日本時間)
4511e66400cccMay 2, 2024 20:32:24 UTC 2024 年 5 月 3 日 (金) 5 時 32 分 24 秒 (日本時間)
5043e67553cccJuly 19, 2024 07:35:59 UTC 2024 年 7 月 19 日 (金) 16 時 35 分 59 秒 (日本時間)

71×10224-629

c221

composite cofactor 合成数の残り
40410249405229427768102084258215802114992771687782444877004860613097474074832951997176974126057211806622727634919008753656842991952099625493744948718824346321528987239467723024735625903539027194390374392423362815740645881<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e64608cccSeptember 4, 2023 20:35:31 UTC 2023 年 9 月 5 日 (火) 5 時 35 分 31 秒 (日本時間)
4511e67500cccMay 12, 2024 13:51:04 UTC 2024 年 5 月 12 日 (日) 22 時 51 分 4 秒 (日本時間)

71×10225-629

c214

composite cofactor 合成数の残り
8691872718660051777663633015826475835508616398035877068979904192091680205834782791746072204784590981331518604008797797406171643326223107552645349473848928879166267237810583473996155164299299711260858158766231398517<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccOctober 21, 2023 23:59:46 UTC 2023 年 10 月 22 日 (日) 8 時 59 分 46 秒 (日本時間)
4511e64800cccJune 13, 2024 15:12:05 UTC 2024 年 6 月 14 日 (金) 0 時 12 分 5 秒 (日本時間)

71×10230-629

c213

composite cofactor 合成数の残り
102317585602810422680378074150040158736464519477812883082112272502882239823970972943773549241943619446759563128889074613058168547914461783651907616106516978074032909832570335162558180750326046311849273625586827439<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccOctober 22, 2023 01:36:38 UTC 2023 年 10 月 22 日 (日) 10 時 36 分 38 秒 (日本時間)
4511e64800cccMay 17, 2024 10:01:30 UTC 2024 年 5 月 17 日 (金) 19 時 1 分 30 秒 (日本時間)

71×10231-629

c217

composite cofactor 合成数の残り
2573517613673440405368023702595852620023379075124747169557509310138119995772228539392630324022342274403908651272471006354875841481135965874006802540732031435616620722409508736788902578893202651849817273058053225389377<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500cccOctober 22, 2023 03:48:31 UTC 2023 年 10 月 22 日 (日) 12 時 48 分 31 秒 (日本時間)
4511e65000dddMay 25, 2024 03:26:22 UTC 2024 年 5 月 25 日 (土) 12 時 26 分 22 秒 (日本時間)

71×10234-629

c147

composite cofactor 合成数の残り
155486643510733146567343426387368858770477838498968674390157444863854383338032742660268448227823134656699010725360629880670217479938163062193460631<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 10:43:07 UTC 2022 年 11 月 26 日 (土) 19 時 43 分 7 秒 (日本時間)
4511e64480Ignacio SantosNovember 30, 2022 14:16:08 UTC 2022 年 11 月 30 日 (水) 23 時 16 分 8 秒 (日本時間)
5043e66454Ignacio SantosDecember 4, 2022 14:07:39 UTC 2022 年 12 月 4 日 (日) 23 時 7 分 39 秒 (日本時間)

71×10235-629

c217

name 名前anonymous
date 日付November 5, 2023 13:08:11 UTC 2023 年 11 月 5 日 (日) 22 時 8 分 11 秒 (日本時間)
composite number 合成数
3278767326508989454262150597000546401175314668870727846101833322832174551026715988738928904704607297941436019086058095382879689317799984808383987375442180988116493717012004498584114379823699100334562710108524097616411<217>
prime factors 素因数
28781470997225474302780507367380559567<38>
113919379826870617592933696863199766088587252390631475500750625279934938083378351717510150388610946576756473850311401238610672643899710546837562705133681262895866358791965726182133<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:10483548537438394947
Step 1 took 19578ms
Step 2 took 7063ms
********** Factor found in step 2: 28781470997225474302780507367380559567
Found prime factor of 38 digits: 28781470997225474302780507367380559567
Prime cofactor 113919379826870617592933696863199766088587252390631475500750625279934938083378351717510150388610946576756473850311401238610672643899710546837562705133681262895866358791965726182133 has 180 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10236-629

c228

composite cofactor 合成数の残り
886759983497161903065848721356137859562816751961898824088543395009491015833566865321860480626823624872336506137823255615737507678370392455606526494427817957034994538204212800395399232519825444699409421772718141131837547042795101<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500dddDecember 10, 2023 22:19:15 UTC 2023 年 12 月 11 日 (月) 7 時 19 分 15 秒 (日本時間)
4511e65000cccJune 14, 2024 04:07:56 UTC 2024 年 6 月 14 日 (金) 13 時 7 分 56 秒 (日本時間)

71×10237-629

c146

name 名前Bob Backstrom
date 日付February 28, 2024 06:50:28 UTC 2024 年 2 月 28 日 (水) 15 時 50 分 28 秒 (日本時間)
composite number 合成数
23867552961897848646283634452071876293845707207420396135057925759954029376854339622643549633450243125792330862615488025298657194767506289429367627<146>
prime factors 素因数
39885572658481995258757483980265063394123922167710708220513789<62>
598400658961636272110378775649027790648654807959614688164310575452968515817326042343<84>
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 23867552961897848646283634452071876293845707207420396135057925759954029376854339622643549633450243125792330862615488025298657194767506289429367627 (146 digits)
Using B1=53550000, B2=288595146856, polynomial Dickson(12), sigma=1:1593548731
Step 1 took 110024ms
Step 2 took 37982ms
********** Factor found in step 2: 39885572658481995258757483980265063394123922167710708220513789
Found prime factor of 62 digits: 39885572658481995258757483980265063394123922167710708220513789
Prime cofactor 598400658961636272110378775649027790648654807959614688164310575452968515817326042343 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 26, 2022 10:42:05 UTC 2022 年 11 月 26 日 (土) 19 時 42 分 5 秒 (日本時間)
4511e64480Ignacio SantosNovember 30, 2022 13:37:44 UTC 2022 年 11 月 30 日 (水) 22 時 37 分 44 秒 (日本時間)
5043e66454Ignacio SantosDecember 5, 2022 15:21:47 UTC 2022 年 12 月 6 日 (火) 0 時 21 分 47 秒 (日本時間)

71×10238-629

c234

composite cofactor 合成数の残り
188874896185312343213884592650053124389814375880196919370636923392874149198398979330701853793805009813513972219961043887609327972478533436975107352766698003938174595954033702730066914917445709108185944409063654032266216771984372863519<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500dddJanuary 7, 2024 02:40:25 UTC 2024 年 1 月 7 日 (日) 11 時 40 分 25 秒 (日本時間)
4511e65000cccJune 14, 2024 13:27:01 UTC 2024 年 6 月 14 日 (金) 22 時 27 分 1 秒 (日本時間)

71×10241-629

c230

composite cofactor 合成数の残り
20757214811572619907793153553387255540629432859923355461869967098578850167926186378704619527882918310255619947459853037291755560997679012500789161352868565015302971283848235695008158415717434091259720439910798188128132033130658567<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500dddFebruary 4, 2024 21:42:38 UTC 2024 年 2 月 5 日 (月) 6 時 42 分 38 秒 (日本時間)
4511e65000cccJune 23, 2024 14:51:35 UTC 2024 年 6 月 23 日 (日) 23 時 51 分 35 秒 (日本時間)

71×10242-629

c222

composite cofactor 合成数の残り
150760075792738884103503250311104897998941705391740624959230108476102394348472597585944261097799123915289484600406338983431314866067375501816707905079911257322844555666974356140355515884879500673617784635798565675422867279<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500dddFebruary 5, 2024 00:40:57 UTC 2024 年 2 月 5 日 (月) 9 時 40 分 57 秒 (日本時間)
4511e65000cccJuly 14, 2024 03:04:00 UTC 2024 年 7 月 14 日 (日) 12 時 4 分 0 秒 (日本時間)

71×10243-629

c196

composite cofactor 合成数の残り
3350312939188814478288933167147544545068594847818290058906923261123397342559707749186422306741140867745786889764657554521287320073418541119412201072426665520322174949542132814959793591089459504491<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 9, 2023 17:39:41 UTC 2023 年 8 月 10 日 (木) 2 時 39 分 41 秒 (日本時間)
4511e664441444cccJune 20, 2024 12:38:05 UTC 2024 年 6 月 20 日 (木) 21 時 38 分 5 秒 (日本時間)
5000cccJuly 14, 2024 03:04:30 UTC 2024 年 7 月 14 日 (日) 12 時 4 分 30 秒 (日本時間)

71×10245-629

c224

composite cofactor 合成数の残り
67924598384246100429249278497125984796715934583081909739638108683068168589065209938134633707546685802749345124138350371188514778233276945235614047389780592097780463224141978372451725418205121050374917874111336479457893659079<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e65000dddApril 28, 2024 21:13:19 UTC 2024 年 4 月 29 日 (月) 6 時 13 分 19 秒 (日本時間)
4511e65000dddJuly 18, 2024 13:13:37 UTC 2024 年 7 月 18 日 (木) 22 時 13 分 37 秒 (日本時間)

71×10246-629

c240

composite cofactor 合成数の残り
284457254796624401046203334196400683027542185070982942524722560626194424995180452751301417982555911255330138004958001809420578440702605573165062203549967244546788158280061500780290288548391151033204438940236628531846315806191083143273819507<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62500cccMay 2, 2024 23:32:48 UTC 2024 年 5 月 3 日 (金) 8 時 32 分 48 秒 (日本時間)

71×10247-629

c224

name 名前anonymous
date 日付May 3, 2024 01:12:42 UTC 2024 年 5 月 3 日 (金) 10 時 12 分 42 秒 (日本時間)
composite number 合成数
61062939945304591542998257828143991761307397430184183611146919272753198835192487126232538925759358916425469530562032981346816303236289702522668578770909800073184406009464362130468588033592354002183845239804646424907628245587<224>
prime factors 素因数
35717333520119294892175532538899017201<38>
1709616422259190053788856521659155647883973595022994150871738458004716171885594249109974916719812985098227189103444264068398882370316263838892432889242839437405923930845093590122973229187<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:11442024582063592785
Step 1 took 22344ms
Step 2 took 7922ms
********** Factor found in step 2: 35717333520119294892175532538899017201
Found prime factor of 38 digits: 35717333520119294892175532538899017201
Prime cofactor 1709616422259190053788856521659155647883973595022994150871738458004716171885594249109974916719812985098227189103444264068398882370316263838892432889242839437405923930845093590122973229187 has 187 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10248-629

c237

name 名前anonymous
date 日付May 6, 2024 08:16:10 UTC 2024 年 5 月 6 日 (月) 17 時 16 分 10 秒 (日本時間)
composite number 合成数
609194348443771688829288042410056744416468265470640919231029216784539491035514325827691956604769452064551561554167484706272208386893743842881814220490482446311078483583939941797331089681041945287283241633160072973064715096079454926225167<237>
prime factors 素因数
138270216364826736364301564743520688945227<42>
composite cofactor 合成数の残り
4405824800594865678342206898552352897754071889843595610105486291802152507928895380195913845602964066540383737414171033866270745714551366872917626844110004583322426543452805765132416238058220790221<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:11325335548532264193
Step 1 took 27391ms
********** Factor found in step 2: 138270216364826736364301564743520688945227
Found prime factor of 42 digits: 138270216364826736364301564743520688945227
Composite cofactor 4405824800594865678342206898552352897754071889843595610105486291802152507928895380195913845602964066540383737414171033866270745714551366872917626844110004583322426543452805765132416238058220790221 has 196 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e68192cccMay 8, 2024 14:41:30 UTC 2024 年 5 月 8 日 (水) 23 時 41 分 30 秒 (日本時間)
4511e65000cccJuly 11, 2024 02:59:15 UTC 2024 年 7 月 11 日 (木) 11 時 59 分 15 秒 (日本時間)

71×10249-629

c202

composite cofactor 合成数の残り
3112825277886978318819432778994541654248671419907518279668317325013890302749431820283482564945933205993700619661130659270988360730263303716296483754960480146420521864608326753435891330575661583657646437<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 9, 2023 16:11:13 UTC 2023 年 8 月 10 日 (木) 1 時 11 分 13 秒 (日本時間)
4511e65000cccJuly 19, 2024 17:21:03 UTC 2024 年 7 月 20 日 (土) 2 時 21 分 3 秒 (日本時間)

71×10250-629

c251

composite cofactor 合成数の残り
13148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccOctober 21, 2023 17:23:48 UTC 2023 年 10 月 22 日 (日) 2 時 23 分 48 秒 (日本時間)
4511e65000cccJuly 20, 2024 08:32:04 UTC 2024 年 7 月 20 日 (土) 17 時 32 分 4 秒 (日本時間)

71×10251-629

c224

composite cofactor 合成数の残り
12848543965355561528796166052553720282809369587458778871688396511079267047838043582337762202444420223820206910272340899034699858347941173381177654423963921487544867429412203941456029381238365665181632457755934887530206759891<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10253-629

c229

composite cofactor 合成数の残り
3962304841484216089584059111561608476309354698201492312178611683001955629720886849390487723882922902572576060948720427119611420426989871137217847742790320958293984711931664521773782628647619141825918151025612929832061385892257657<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10256-629

c250

composite cofactor 合成数の残り
1155740028593268755854616798717778387162055389293399526699390127055970760858137687463759207613958009711882052217812536838196034624708081637165197862709173196182738490055864663923512825391971753791835717655940575533075402761645030611044343521318420823<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10257-629

c200

composite cofactor 合成数の残り
74505204493378337315366970820827125714275537275679183688220165841225749667725951788505023734513512996678486593558922244302277671187476877538858498730586052367090078012550728557355370613186728562858461<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400cccAugust 9, 2023 13:44:25 UTC 2023 年 8 月 9 日 (水) 22 時 44 分 25 秒 (日本時間)

71×10258-629

c253

composite cofactor 合成数の残り
1401030993055109100256712290155649807449009477007759304296156956199785125257893300084302600120141367579108820366238973343431806868627454926958334482770732565165799389016303777933351416499559188290790731236751624002115675196498543342156671336638424644443<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10259-629

c192

composite cofactor 合成数の残り
480640042698314729626691733128463326354459156773104395020799153000557586551975945065337370242392054611075412276966206016529545861883024077818650133205822209266269626482100673331400067802471427<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62400dddJuly 23, 2023 14:52:47 UTC 2023 年 7 月 23 日 (日) 23 時 52 分 47 秒 (日本時間)

71×10262-629

c157

composite cofactor 合成数の残り
1744758835011304132027219364653850401711630138070088261554488110550910856332927705121429573773410653020034462588827077223832283731136136293504285000086514609<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 27, 2022 14:11:49 UTC 2022 年 11 月 27 日 (日) 23 時 11 分 49 秒 (日本時間)
4511e64480Ignacio SantosNovember 30, 2022 20:30:06 UTC 2022 年 12 月 1 日 (木) 5 時 30 分 6 秒 (日本時間)
5043e67553cccJune 16, 2024 18:10:13 UTC 2024 年 6 月 17 日 (月) 3 時 10 分 13 秒 (日本時間)

71×10266-629

c247

composite cofactor 合成数の残り
6189087822837007135162997337014130789154423946809371670160566270139858898734298928433103910756613844694325190522509616416323492367423119506105070138751741377187447161662697688127353482500304989243864388386219817679272848157253185135973606777132009<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10268-629

c256

composite cofactor 合成数の残り
1752666629878375721279128462734050301539880794455533427819399851252043407035368954878134847668627895985283575416639671182964127710740151422180091941050808139114833390106047549921259413721322849976644137438199857983189116951571523247141465568474823668753081<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10270-629

c249

composite cofactor 合成数の残り
590386065878953036800469036509443301060818744627299208477985281042177648614475263523437254780684459496859441608296308518691201890978443596270551986920525638832156281701438008926102261274101902581846121781551371480152604074453736210955278361376259237<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10271-629

c241

composite cofactor 合成数の残り
1441100366927008040988749016077849073410869728942056451017085822655807065836226306946962986247425392896944847924951162464332220896186936207082209520406215062057779125798366501454134393932092442323124965469465245910089866533048949518489797361<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10272-629

c251

composite cofactor 合成数の残り
12475794746294891716649481348806444415399741936639060320533640586910700547748019994077185207113163238697068279368782619032759491187768672244725180796260119843030969407287460244067604400885149946426842814713414901797459007439498326704654876013646591719<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10273-629

c221

composite cofactor 合成数の残り
13464206759030764724944414220442727974790234512424193786984600311369034799300996281907155426335626852486199161123653734157859751471568313697338247851560270265749857831853290801321345121933361646805491201358021787669999271<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10274-629

c226

composite cofactor 合成数の残り
1548635954050273656717661259341912408866417223712754407911574894328831168776428243363721293487060709932284008402073811869777640850011976288693815953510454721752246970887411288536630068891738278296788124815758543515324152293671<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10276-629

c275

composite cofactor 合成数の残り
12848353239232718060079623597538906985161056822294607310893955845095910242490047050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538906985161056822294607310893955845095910242490047050307636626854867897213174086138255519363<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10277-629

c278

composite cofactor 合成数の残り
13148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10280-629

c256

composite cofactor 合成数の残り
6127618837501586789930649690876685228492029237259506750547225131597053865697557046310473002008877175055262725422656840629196630456804533472393751961508912269160854695394068922796121239525729515841458370688655543738410780333015203158787795086477354747100587<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10281-629

c257

composite cofactor 合成数の残り
12602758543092920289473488232186930794340603131308856610846580572538909367226012351162886317891095126168143924981852099297221568332970481000223760058485833660345493041834095245036257009244622048282980590778657217955349028612126664618277016003051102085011741<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10283-629

c261

composite cofactor 合成数の残り
984442655284996355970396496145979953972509730380487641898662502711349915276578941236908320106250910088807302916682698880701477609546896661111519121932178453258411612703073415706724180273920797816701125526996020409345548205772322653493093836658557764960583537221<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10284-629

c210

name 名前anonymous
date 日付May 26, 2024 01:54:12 UTC 2024 年 5 月 26 日 (日) 10 時 54 分 12 秒 (日本時間)
composite number 合成数
293595787608796303458655913683543712384307454986703349804127453895012435548312929835027048256991336593829066348652596387062125294192453522228833454745834376072245745578705525372131142926334866601365187541159983<210>
prime factors 素因数
421875069031704034475628989070382607<36>
composite cofactor 合成数の残り
695930641937820920140726840764090389659074957182282149711623291622580703484353791938453234679898157188809681083708714030277038849572920951396312028618564686218859631335654369<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:1339990122541270668
Step 1 took 22250ms
Step 2 took 7906ms
********** Factor found in step 2: 421875069031704034475628989070382607
Found prime factor of 36 digits: 421875069031704034475628989070382607
Composite cofactor 695930641937820920140726840764090389659074957182282149711623291622580703484353791938453234679898157188809681083708714030277038849572920951396312028618564686218859631335654369 has 174 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e624576cccMay 31, 2024 05:50:24 UTC 2024 年 5 月 31 日 (金) 14 時 50 分 24 秒 (日本時間)
4511e60--
5043e68192cccJune 3, 2024 07:41:25 UTC 2024 年 6 月 3 日 (月) 16 時 41 分 25 秒 (日本時間)
5511e7184326144cccJune 13, 2024 02:17:03 UTC 2024 年 6 月 13 日 (木) 11 時 17 分 3 秒 (日本時間)
6144cccJune 20, 2024 02:19:48 UTC 2024 年 6 月 20 日 (木) 11 時 19 分 48 秒 (日本時間)
6144cccJune 27, 2024 00:27:41 UTC 2024 年 6 月 27 日 (木) 9 時 27 分 41 秒 (日本時間)

71×10286-629

c262

composite cofactor 合成数の残り
9043056651868951079077398096865247182916528718171776961722213026043455398899716851910163912181570046792607417777806269524764825943379722554325747316922125372448874492611467574695150333255021539279476717742239889603212853790984674078966850740289137623284635368661<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10287-629

c286

composite cofactor 合成数の残り
9173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10288-629

c288

composite cofactor 合成数の残り
171497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10289-629

c252

composite cofactor 合成数の残り
774360623071504671890465774375452162572103563651372060879403884534210992678723951282607733218216021109255920791306576691260199533684594394351016127876119131034127937833417665798703869061305354215118841452227745160031101121433956344668006541159188105091<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10290-629

c240

composite cofactor 合成数の残り
204256187801198309796229071966900027169291736553341941688478439982218892364526811001879907072200792641287782482047204353020108828810829358846061042563678745666100663491576350006651091501916889645118583448869941279910922781290654731446222597<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10292-629

c235

composite cofactor 合成数の残り
2379810958773033078697461324724574981856756807599399267589523934764048184497370175414585092379474827255642807790838519353293814624833705445771846917747913923150012568432377775205486030437189134037487016215144403802693044837817295791619<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10295-629

c294

composite cofactor 合成数の残り
279747832939322301024428684003152088258471237194641449960598896769109535066981875492513790386130811662726556343577620173364854215918045705279747832939322301024428684003152088258471237194641449960598896769109535066981875492513790386130811662726556343577620173364854215918045705279747832939322301<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10296-629

c292

composite cofactor 合成数の残り
7702338256320799133866638894855488946602183992588397891945957791186355362020746410818856191920572620031720615579552136151304298772616126309668712668068275262042226171026624054293890852442726063627823015454578985851564008600582774100182469478128613861171319529875308907157533429232868806397931<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10298-629

c296

composite cofactor 合成数の残り
74283322870893492362418916091232475413266373718351119481062983887842644904791797447164678803096882192927390667503661853944339820046034735300272023435865243774848294622305921740949989537560159029085582757899142079933040385017786147729650554509311571458464113831345469763548859594057334170328520611<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

71×10300-629

c289

composite cofactor 合成数の残り
6902025765139651449931317764987283882193103606495101014068633249157542705570284263477073427827865287904710370326801658710927246906733322796055820545133703678887797992377623128023412674695594323648764917576378948569521469355324513019081710788535902789410389665386091461048467662020912256829<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovNovember 30, 2022 14:22:03 UTC 2022 年 11 月 30 日 (水) 23 時 22 分 3 秒 (日本時間)
4511e63584Dmitry DomanovNovember 30, 2022 14:22:03 UTC 2022 年 11 月 30 日 (水) 23 時 22 分 3 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovNovember 30, 2022 14:22:03 UTC 2022 年 11 月 30 日 (水) 23 時 22 分 3 秒 (日本時間)