Table of contents 目次

67×10109-229

c101

name 名前Dmitry Domanov
date 日付November 26, 2022 00:03:11 UTC 2022 年 11 月 26 日 (土) 9 時 3 分 11 秒 (日本時間)
composite number 合成数
99413188254035289404526282045748126560470454259343524548425452067028997350060156003371135043853921619<101>
prime factors 素因数
521835226623766501845764030728054776163<39>
190506855769839298666545203997009958421829814313009861851250513<63>
factorization results 素因数分解の結果
N=99413188254035289404526282045748126560470454259343524548425452067028997350060156003371135043853921619
  ( 101 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=521835226623766501845764030728054776163 (pp39)
 r2=190506855769839298666545203997009958421829814313009861851250513 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 99413188254035289404526282045748126560470454259343524548425452067028997350060156003371135043853921619
m: 1000000000000000000000000000
deg: 4
c4: 335
c0: -11
skew: 0.43
# Murphy_E = 1.113e-07
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 48523 x 48748
Total sieving time: 0.22 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,110.000,4,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,20000
total time: 0.23 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)

67×10123-229

c109

name 名前Dmitry Domanov
date 日付November 26, 2022 12:27:09 UTC 2022 年 11 月 26 日 (土) 21 時 27 分 9 秒 (日本時間)
composite number 合成数
1123351810116619535957256538952207349990799052632680242038028079332893811472037175813166365864948040797509903<109>
prime factors 素因数
818596225540145329441044919602594211929254610162047<51>
1372290483474173412749720818666351228151368419453699956849<58>
factorization results 素因数分解の結果
N=1123351810116619535957256538952207349990799052632680242038028079332893811472037175813166365864948040797509903
  ( 109 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=818596225540145329441044919602594211929254610162047 (pp51)
 r2=1372290483474173412749720818666351228151368419453699956849 (pp58)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1123351810116619535957256538952207349990799052632680242038028079332893811472037175813166365864948040797509903
m: 5000000000000000000000000000000
deg: 4
c4: 268
c0: -55
skew: 0.67
# Murphy_E = 2.07e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 805001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92875 x 93100
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,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------

ECM

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

67×10139-229

c140

name 名前Bob Backstrom
date 日付November 26, 2022 03:10:41 UTC 2022 年 11 月 26 日 (土) 12 時 10 分 41 秒 (日本時間)
composite number 合成数
12407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<140>
prime factors 素因数
26019673896762278400305831964521987807<38>
476847152529121655629342999545878074524483671489165010735014055240735140455500507684788289154185082801<102>
factorization results 素因数分解の結果
Number: n
N=12407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407  ( 140 digits)
SNFS difficulty: 141 digits.
Divisors found:

Sat Nov 26 14:03:23 2022  p38 factor: 26019673896762278400305831964521987807
Sat Nov 26 14:03:23 2022  p102 factor: 476847152529121655629342999545878074524483671489165010735014055240735140455500507684788289154185082801
Sat Nov 26 14:03:23 2022  elapsed time 00:03:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 67x10^139-22 = 74(138)2
#
n: 12407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
m: 50000000000000000000000000000000000
deg: 4
c4: 268
c0: -55
skew: 0.67
# Murphy_E = 3.403e-09
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6390000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 275952 hash collisions in 4865517 relations (5179851 unique)
Msieve: matrix is 248727 x 248952 (86.5 MB)

Sieving start time : 2022/11/26 13:24:57
Sieving end time  : 2022/11/26 13:56:00

Total sieving time: 0hrs 31min 3secs.

Total relation processing time: 0hrs 1min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
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)

67×10146-229

c128

name 名前Eric Jeancolas
date 日付December 4, 2022 12:26:07 UTC 2022 年 12 月 4 日 (日) 21 時 26 分 7 秒 (日本時間)
composite number 合成数
74012140216891099208820004921414268475854159100380273549815944781236126114287686536709201856425836697472985773292807487353892597<128>
prime factors 素因数
255441508143390416898756943938286481584582049702749464450653<60>
289742026481243875363371919902850710014346764890951356891273780560249<69>
factorization results 素因数分解の結果
74012140216891099208820004921414268475854159100380273549815944781236126114287686536709201856425836697472985773292807487353892597=255441508143390416898756943938286481584582049702749464450653*289742026481243875363371919902850710014346764890951356891273780560249

cado polynomial
n: 74012140216891099208820004921414268475854159100380273549815944781236126114287686536709201856425836697472985773292807487353892597
skew: 0.24
type: snfs
c0: -11
c4: 3350
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 3350*x^4-11
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 289742026481243875363371919902850710014346764890951356891273780560249 255441508143390416898756943938286481584582049702749464450653
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 58.35/19.3084
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.87/26.303
Info:Filtering - Merging: Merged matrix has 300569 rows and total weight 51098020 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.13/18.7216
Info:Filtering - Merging: Total cpu/real time for replay: 9.39/8.24191
Info:Generate Factor Base: Total cpu/real time for makefb: 0.99/1.18814
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6059189
Info:Lattice Sieving: Average J: 1895.73 for 204648 special-q, max bucket fill -bkmult 1.0,1s:1.362800
Info:Lattice Sieving: Total time: 16986.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.4/45.9963
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.9s
Info:Linear Algebra: Total cpu/real time for bwc: 1380.59/402.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 852.58, WCT time 229.21, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 33.72, WCT time 34.33
Info:Linear Algebra: Mksol: CPU time 464.04,  WCT time 125.06, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Square Root: Total cpu/real time for sqrt: 58.35/19.3084
Info:Generate Free Relations: Total cpu/real time for freerel: 38.75/15.8595
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.51/19.8678
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.7s
Info:Quadratic Characters: Total cpu/real time for characters: 9.65/3.85155
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 32265.7/9178.78
Info:root: Cleaning up computation data in /tmp/cado.f8wdf2l8
289742026481243875363371919902850710014346764890951356891273780560249 255441508143390416898756943938286481584582049702749464450653
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)

67×10147-229

c116

name 名前Eric Jeancolas
date 日付November 30, 2022 05:41:43 UTC 2022 年 11 月 30 日 (水) 14 時 41 分 43 秒 (日本時間)
composite number 合成数
26090316635507394247918137975643760119239215279611068392495879067086636406000397180307507250396862470847970239303037<116>
prime factors 素因数
2564653661225263996446233829520239152016470952011<49>
10173037018590158584814481622865061884549551714008297116652647265367<68>
factorization results 素因数分解の結果
26090316635507394247918137975643760119239215279611068392495879067086636406000397180307507250396862470847970239303037=2564653661225263996446233829520239152016470952011*10173037018590158584814481622865061884549551714008297116652647265367

cado polynomial
n: 26090316635507394247918137975643760119239215279611068392495879067086636406000397180307507250396862470847970239303037
skew: 30130.199
c0: -400393784392585412704080001
c1: -18946270516646579241005
c2: 2618268882882498404
c3: 3708826522234
c4: -450288852
c5: 17640
Y0: -17166160826699173610856
Y1: 5237285893586347
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.934e-07
# f(x) = 17640*x^5-450288852*x^4+3708826522234*x^3+2618268882882498404*x^2-18946270516646579241005*x-400393784392585412704080001
# g(x) = 5237285893586347*x-17166160826699173610856

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10173037018590158584814481622865061884549551714008297116652647265367 2564653661225263996446233829520239152016470952011
Info:Square Root: Total cpu/real time for sqrt: 274.64/80.2437
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 348.49
Info:Polynomial Selection (root optimized): Rootsieve time: 347.38
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22144/33.560/41.196/47.670/1.077
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17484/33.100/36.452/41.620/0.830
Info:Polynomial Selection (size optimized): Total time: 1788.39
Info:Quadratic Characters: Total cpu/real time for characters: 16.72/6.58641
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.12/141.469
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 103.3s
Info:Square Root: Total cpu/real time for sqrt: 274.64/80.2437
Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/16.7722
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.33/30.7809
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.800000000000004s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.83/115.338
Info:Filtering - Merging: Merged matrix has 461090 rows and total weight 71979580 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.32/22.8205
Info:Filtering - Merging: Total cpu/real time for replay: 15.3/12.6222
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.1745
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7468109
Info:Lattice Sieving: Average J: 1893.21 for 184294 special-q, max bucket fill -bkmult 1.0,1s:1.262780
Info:Lattice Sieving: Total time: 20172.7s
Info:Linear Algebra: Total cpu/real time for bwc: 2781.08/721.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1718.74, WCT time 443.01, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 74.15, WCT time 18.91
Info:Linear Algebra: Mksol: CPU time 949.1,  WCT time 243.88, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42691.5/11704.5
Info:root: Cleaning up computation data in /tmp/cado.amhl4x9l
10173037018590158584814481622865061884549551714008297116652647265367 2564653661225263996446233829520239152016470952011
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)

67×10148-229

c117

name 名前Eric Jeancolas
date 日付November 30, 2022 18:49:36 UTC 2022 年 12 月 1 日 (木) 3 時 49 分 36 秒 (日本時間)
composite number 合成数
729399328714186812849300114463583694479729766476540655439753280973442848387876219732475706132621487351817760141740487<117>
prime factors 素因数
20125687828718987113691123087956189463<38>
36242206225287235117178942273424069477512257597725220121242874366764461457533649<80>
factorization results 素因数分解の結果
729399328714186812849300114463583694479729766476540655439753280973442848387876219732475706132621487351817760141740487=20125687828718987113691123087956189463*36242206225287235117178942273424069477512257597725220121242874366764461457533649

cado polynomial
n: 729399328714186812849300114463583694479729766476540655439753280973442848387876219732475706132621487351817760141740487
skew: 13280.644
c0: -75710893340938179089440236
c1: 121255050889177947135886
c2: 3080503243953880419
c3: -887138454754009
c4: -6755227650
c5: 1207800
Y0: -28379075143894231679131
Y1: 62211767654853431
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.044e-07
# f(x) = 1207800*x^5-6755227650*x^4-887138454754009*x^3+3080503243953880419*x^2+121255050889177947135886*x-75710893340938179089440236
# g(x) = 62211767654853431*x-28379075143894231679131

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 20125687828718987113691123087956189463 36242206225287235117178942273424069477512257597725220121242874366764461457533649
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21824/34.420/41.753/46.810/1.072
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17387/33.000/36.972/42.180/0.858
Info:Polynomial Selection (size optimized): Total time: 2212.55
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 349.29
Info:Polynomial Selection (root optimized): Rootsieve time: 325.71
Info:Generate Factor Base: Total cpu/real time for makefb: 4.54/0.714981
Info:Generate Free Relations: Total cpu/real time for freerel: 65.73/8.26709
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7907590
Info:Lattice Sieving: Average J: 1906.02 for 234383 special-q, max bucket fill -bkmult 1.0,1s:1.253270
Info:Lattice Sieving: Total time: 41506.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.73/22.8766
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 168.87/140.927
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 121.19999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 140.35/100.115
Info:Filtering - Merging: Merged matrix has 476001 rows and total weight 74457013 (156.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 86.42/13.1071
Info:Filtering - Merging: Total cpu/real time for replay: 14.74/11.9914
Info:Linear Algebra: Total cpu/real time for bwc: 1978.25/517.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 317.25, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14976 iterations)
Info:Linear Algebra: Lingen CPU time 44.19, WCT time 12.02
Info:Linear Algebra: Mksol: WCT time 178.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 18.79/4.89495
Info:Square Root: Total cpu/real time for sqrt: 761.11/101.198
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 98313/11577.6
Info:root: Cleaning up computation data in /tmp/cado._bglieu2
20125687828718987113691123087956189463 36242206225287235117178942273424069477512257597725220121242874366764461457533649
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)

67×10149-229

c111

name 名前Eric Jeancolas
date 日付November 28, 2022 19:14:39 UTC 2022 年 11 月 29 日 (火) 4 時 14 分 39 秒 (日本時間)
composite number 合成数
201200792604585390394569832827393620326521139593574327540029438648247305854430270565288468483922180073669682343<111>
prime factors 素因数
35440307274381960856937932362921331268616482027<47>
5677174044989825957324450344626264092024162247661880219740768309<64>
factorization results 素因数分解の結果
201200792604585390394569832827393620326521139593574327540029438648247305854430270565288468483922180073669682343=35440307274381960856937932362921331268616482027*5677174044989825957324450344626264092024162247661880219740768309

cado polynomial
n: 201200792604585390394569832827393620326521139593574327540029438648247305854430270565288468483922180073669682343
skew: 14492.03
c0: 71244492269962962750396366
c1: 6398853364446172220836
c2: -1398854327928817785
c3: -94488507814279
c4: 4436806632
c5: 55440
Y0: 158429888895563425578
Y1: 114993565892870873
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.481e-06
# f(x) = 55440*x^5+4436806632*x^4-94488507814279*x^3-1398854327928817785*x^2+6398853364446172220836*x+71244492269962962750396366
# g(x) = 114993565892870873*x+158429888895563425578

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

cado log (extracts)
Info:Square Root: Factors: 35440307274381960856937932362921331268616482027 5677174044989825957324450344626264092024162247661880219740768309
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 187.28/54.9365
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.31/19.7315
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.599999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 11.18/4.32619
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.38/61.3274
Info:Filtering - Merging: Merged matrix has 302223 rows and total weight 47167461 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.49/14.6071
Info:Filtering - Merging: Total cpu/real time for replay: 9.52/8.08513
Info:Generate Factor Base: Total cpu/real time for makefb: 2.25/0.611079
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5422442
Info:Lattice Sieving: Average J: 1910.25 for 102978 special-q, max bucket fill -bkmult 1.0,1s:1.314540
Info:Lattice Sieving: Total time: 9548.94s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 98.89/108.435
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.4s
Info:Linear Algebra: Total cpu/real time for bwc: 1287.19/362.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 789.19, WCT time 205.24, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 33.11, WCT time 33.73
Info:Linear Algebra: Mksol: CPU time 436.8,  WCT time 112.76, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 257.95
Info:Polynomial Selection (root optimized): Rootsieve time: 256.96
Info:Generate Free Relations: Total cpu/real time for freerel: 61/16.7431
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 12642.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 8717/32.370/39.236/44.060/1.106
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 6789/31.620/34.681/39.620/0.817
Info:Polynomial Selection (size optimized): Total time: 627.36
Info:Square Root: Total cpu/real time for sqrt: 187.28/54.9365
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 20226/5588.88
Info:root: Cleaning up computation data in /tmp/cado.001q8cnt
35440307274381960856937932362921331268616482027 5677174044989825957324450344626264092024162247661880219740768309
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)

67×10150-229

c134

name 名前Bob Backstrom
date 日付November 29, 2022 00:02:55 UTC 2022 年 11 月 29 日 (火) 9 時 2 分 55 秒 (日本時間)
composite number 合成数
15953862511328328285001309635445300773382213714091601256535886240670920028668648372303303824941724616511299699943615476838529612178703<134>
prime factors 素因数
548134311353828275570677645917651276559544783<45>
29105754157086308509549548713380315770173822152532675065043947180047046868645886807042241<89>
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 15953862511328328285001309635445300773382213714091601256535886240670920028668648372303303824941724616511299699943615476838529612178703 (134 digits)
Using B1=36870000, B2=192390318136, polynomial Dickson(12), sigma=1:1491473288
Step 1 took 57803ms
Step 2 took 23550ms
********** Factor found in step 2: 548134311353828275570677645917651276559544783
Found prime factor of 45 digits: 548134311353828275570677645917651276559544783
Prime cofactor 29105754157086308509549548713380315770173822152532675065043947180047046868645886807042241 has 89 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)

67×10151-229

c118

name 名前Eric Jeancolas
date 日付November 30, 2022 19:03:50 UTC 2022 年 12 月 1 日 (木) 4 時 3 分 50 秒 (日本時間)
composite number 合成数
4129269383200033692226867116307556243669052590361593841646237957795610010331904473606973387061667799701556121575734103<118>
prime factors 素因数
848109961415045091931470234622914181497527090349052834253<57>
4868790099234863553141195904969998671070085718013266824662451<61>
factorization results 素因数分解の結果
4129269383200033692226867116307556243669052590361593841646237957795610010331904473606973387061667799701556121575734103=848109961415045091931470234622914181497527090349052834253*4868790099234863553141195904969998671070085718013266824662451

cado polynomial
n: 4129269383200033692226867116307556243669052590361593841646237957795610010331904473606973387061667799701556121575734103
skew: 37017.688
c0: 3791394661162868016115279680
c1: 970380102007408894077774
c2: -23072690615453021134
c3: -720554409491519
c4: 12639107394
c5: 91980
Y0: -12237099405857382985891
Y1: 1021283239995382447
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.725e-06
# f(x) = 91980*x^5+12639107394*x^4-720554409491519*x^3-23072690615453021134*x^2+970380102007408894077774*x+3791394661162868016115279680
# g(x) = 1021283239995382447*x-12237099405857382985891

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: 848109961415045091931470234622914181497527090349052834253 4868790099234863553141195904969998671070085718013266824662451
Info:Square Root: Total cpu/real time for sqrt: 295.25/85.308
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): 20143/33.950/41.961/47.840/1.046
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15818/33.570/37.122/42.450/0.817
Info:Polynomial Selection (size optimized): Total time: 2330.56
Info:Linear Algebra: Total cpu/real time for bwc: 3011.8/784.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1779.73, WCT time 461.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17664 iterations)
Info:Linear Algebra: Lingen CPU time 99.02, WCT time 25.14
Info:Linear Algebra: Mksol: CPU time 1078.79,  WCT time 279.14, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 16.98/6.59593
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.3/111.903
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.4s
Info:Square Root: Total cpu/real time for sqrt: 295.25/85.308
Info:Generate Free Relations: Total cpu/real time for freerel: 127.6/32.9466
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.02/61.2711
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.3/54.9884
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.9s
Info:Filtering - Merging: Merged matrix has 563556 rows and total weight 57020971 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.49/13.7199
Info:Filtering - Merging: Total cpu/real time for replay: 13.2/10.5352
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.42314
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13426256
Info:Lattice Sieving: Average J: 1894.01 for 204548 special-q, max bucket fill -bkmult 1.0,1s:1.241310
Info:Lattice Sieving: Total time: 25766s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1060.71
Info:Polynomial Selection (root optimized): Rootsieve time: 1058.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 54715.7/15129.7
Info:root: Cleaning up computation data in /tmp/cado.au17288b
848109961415045091931470234622914181497527090349052834253 4868790099234863553141195904969998671070085718013266824662451
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)

67×10152-229

c130

name 名前Bob Backstrom
date 日付November 27, 2022 17:42:15 UTC 2022 年 11 月 28 日 (月) 2 時 42 分 15 秒 (日本時間)
composite number 合成数
1151593436706952001155130265316294467200383305249584243067123132623662094428454267989800427478200923134987722148116006356837661751<130>
prime factors 素因数
146941170184759395709468555799474787709849<42>
7837105388904778323118455282568254215656400521629710358717957412754212417105280733368399<88>
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 1151593436706952001155130265316294467200383305249584243067123132623662094428454267989800427478200923134987722148116006356837661751 (130 digits)
Using B1=25860000, B2=96191014936, polynomial Dickson(12), sigma=1:3673461430
Step 1 took 40358ms
Step 2 took 15353ms
********** Factor found in step 2: 146941170184759395709468555799474787709849
Found prime factor of 42 digits: 146941170184759395709468555799474787709849
Prime cofactor 7837105388904778323118455282568254215656400521629710358717957412754212417105280733368399 has 88 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)

67×10154-229

c136

name 名前Eric Jeancolas
date 日付December 4, 2022 17:43:45 UTC 2022 年 12 月 5 日 (月) 2 時 43 分 45 秒 (日本時間)
composite number 合成数
1520577796246357706686555857148598918386916617099610919285897446255307385011842673036380498105593655160617651234330834781437406421096189<136>
prime factors 素因数
573541149370036668697453911457019730789611836010265871010981243<63>
2651209591354556744250232642517358750956001943196572232653482053004853223<73>
factorization results 素因数分解の結果
1520577796246357706686555857148598918386916617099610919285897446255307385011842673036380498105593655160617651234330834781437406421096189=573541149370036668697453911457019730789611836010265871010981243*2651209591354556744250232642517358750956001943196572232653482053004853223

cado polynomial
n: 1520577796246357706686555857148598918386916617099610919285897446255307385011842673036380498105593655160617651234330834781437406421096189
skew: 0.63
type: snfs
c0: -55
c5: 536
Y0: 5000000000000000000000000000000
Y1: -1
# f(x) = 536*x^5-55
# g(x) = -x+5000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2800000
tasks.lim1 = 2800000
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: 573541149370036668697453911457019730789611836010265871010981243 2651209591354556744250232642517358750956001943196572232653482053004853223
Info:Square Root: Total cpu/real time for sqrt: 72.46/14.3301
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: 1.49/0.370584
Info:Generate Free Relations: Total cpu/real time for freerel: 49.17/6.44515
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11639992
Info:Lattice Sieving: Average J: 1895.85 for 245257 special-q, max bucket fill -bkmult 1.0,1s:1.158100
Info:Lattice Sieving: Total time: 30768.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.73/19.7546
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.1/37.2569
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: 100.55/37.8417
Info:Filtering - Merging: Merged matrix has 320422 rows and total weight 54610634 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.52/9.27387
Info:Filtering - Merging: Total cpu/real time for replay: 9.33/7.64986
Info:Linear Algebra: Total cpu/real time for bwc: 1019.71/269.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 161.87, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10112 iterations)
Info:Linear Algebra: Lingen CPU time 27.74, WCT time 7.53
Info:Linear Algebra: Mksol: WCT time 93.6, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5120 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 11.13/2.82544
Info:Square Root: Total cpu/real time for sqrt: 72.46/14.3301
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 66831.8/15899.5
Info:root: Cleaning up computation data in /tmp/cado.ro0mrtje
573541149370036668697453911457019730789611836010265871010981243 2651209591354556744250232642517358750956001943196572232653482053004853223
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)

67×10157-229

c127

name 名前Bob Backstrom
date 日付November 29, 2022 14:52:25 UTC 2022 年 11 月 29 日 (火) 23 時 52 分 25 秒 (日本時間)
composite number 合成数
3214497178529733505676980041114312427298752967288916387074427865272720313303697029244579397448637418024607339455292530590146427<127>
prime factors 素因数
48155095561974651617704239183763592743<38>
66753001754357220151597278651046200369223388649183988153720805778170715648660749898626189<89>
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 3214497178529733505676980041114312427298752967288916387074427865272720313303697029244579397448637418024607339455292530590146427 (127 digits)
Using B1=28390000, B2=144287903776, polynomial Dickson(12), sigma=1:1362073667
Step 1 took 44239ms
Step 2 took 18738ms
********** Factor found in step 2: 48155095561974651617704239183763592743
Found prime factor of 38 digits: 48155095561974651617704239183763592743
Prime cofactor 66753001754357220151597278651046200369223388649183988153720805778170715648660749898626189 has 89 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)

67×10161-229

c149

name 名前Eric Jeancolas
date 日付December 5, 2022 08:51:13 UTC 2022 年 12 月 5 日 (月) 17 時 51 分 13 秒 (日本時間)
composite number 合成数
61420984055639517246531287069894122677557545914626357852827848979951749539223634361939894438397281090448869346354670528128336784178015865752256161329<149>
prime factors 素因数
12319189088590804153445164649269176125782006054797313<53>
4985797653883197485050238117985553871220635528196062759662193631473408323022873934533465689450033<97>
factorization results 素因数分解の結果
61420984055639517246531287069894122677557545914626357852827848979951749539223634361939894438397281090448869346354670528128336784178015865752256161329=12319189088590804153445164649269176125782006054797313*4985797653883197485050238117985553871220635528196062759662193631473408323022873934533465689450033

cado polynomial
n: 61420984055639517246531287069894122677557545914626357852827848979951749539223634361939894438397281090448869346354670528128336784178015865752256161329
skew: 0.50
type: snfs
c0: -11
c5: 335
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 335*x^5-11
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3600000
tasks.lim1 = 3600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4985797653883197485050238117985553871220635528196062759662193631473408323022873934533465689450033 12319189088590804153445164649269176125782006054797313
Info:Square Root: Total cpu/real time for sqrt: 97.93/31.6094
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.25/43.6789
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.16/56.963
Info:Filtering - Merging: Merged matrix has 498787 rows and total weight 85062673 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 103.94/29.5202
Info:Filtering - Merging: Total cpu/real time for replay: 16.17/13.7505
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630985
Info:Lattice Sieving: Average J: 1894.98 for 333929 special-q, max bucket fill -bkmult 1.0,1s:1.237500
Info:Lattice Sieving: Total time: 39901s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.55/0.904061
Info:Linear Algebra: Total cpu/real time for bwc: 3705.27/991.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2312.78, WCT time 615.36, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 81.46, WCT time 21.27
Info:Linear Algebra: Mksol: CPU time 1263.55,  WCT time 334.47, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 16.19/6.49596
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.79/93.3216
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 85.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.78/17.8796
Info:Square Root: Total cpu/real time for sqrt: 97.93/31.6094
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 76818.8/21445.6
Info:root: Cleaning up computation data in /tmp/cado.0wg5vxte
4985797653883197485050238117985553871220635528196062759662193631473408323022873934533465689450033 12319189088590804153445164649269176125782006054797313
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)

67×10162-229

c163

name 名前ebina
date 日付November 26, 2022 22:00:54 UTC 2022 年 11 月 27 日 (日) 7 時 0 分 54 秒 (日本時間)
composite number 合成数
3722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<163>
prime factors 素因数
53193759060177715289589770711483353<35>
composite cofactor 合成数の残り
69974791930220594412158829645793561308443253998224303300439498235031383223353365109385807535207072780684996771858024867462508757<128>
factorization results 素因数分解の結果
Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:790790703 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221 (163 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:790790703
Step 1 took 12917ms
Step 2 took 8939ms
********** Factor found in step 2: 53193759060177715289589770711483353
Found probable prime factor of 35 digits: 53193759060177715289589770711483353
Composite cofactor 69974791930220594412158829645793561308443253998224303300439498235031383223353365109385807535207072780684996771858024867462508757 has 128 digits

c128

name 名前Eric Jeancolas
date 日付December 5, 2022 21:10:36 UTC 2022 年 12 月 6 日 (火) 6 時 10 分 36 秒 (日本時間)
composite number 合成数
69974791930220594412158829645793561308443253998224303300439498235031383223353365109385807535207072780684996771858024867462508757<128>
prime factors 素因数
6038583386214970121733395711350050822669236771<46>
11587948274418269623107733541612947869099688847157418064652163130325745425959808167<83>
factorization results 素因数分解の結果
69974791930220594412158829645793561308443253998224303300439498235031383223353365109385807535207072780684996771858024867462508757=6038583386214970121733395711350050822669236771*11587948274418269623107733541612947869099688847157418064652163130325745425959808167

cado polynomial
n: 69974791930220594412158829645793561308443253998224303300439498235031383223353365109385807535207072780684996771858024867462508757
skew: 0.32
type: snfs
c0: -11
c5: 3350
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 3350*x^5-11
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 11587948274418269623107733541612947869099688847157418064652163130325745425959808167 6038583386214970121733395711350050822669236771
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 143.53/45.5969
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.22/51.8212
Info:Filtering - Merging: Merged matrix has 580214 rows and total weight 98665014 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 134.12/37.8566
Info:Filtering - Merging: Total cpu/real time for replay: 18.93/18.7167
Info:Generate Factor Base: Total cpu/real time for makefb: 1.59/0.960973
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11622830
Info:Lattice Sieving: Average J: 1893.47 for 435111 special-q, max bucket fill -bkmult 1.0,1s:1.242140
Info:Lattice Sieving: Total time: 49557.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.77/95.123
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.6s
Info:Linear Algebra: Total cpu/real time for bwc: 5487.46/1554.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3437.32, WCT time 931.06, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Linear Algebra: Lingen CPU time 77.19, WCT time 78.37
Info:Linear Algebra: Mksol: CPU time 1874.65,  WCT time 509.58, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.47/18.3518
Info:Square Root: Total cpu/real time for sqrt: 143.53/45.5969
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.28/40.1799
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s
Info:Quadratic Characters: Total cpu/real time for characters: 19.08/7.91311
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 96023.5/26813.6
Info:root: Cleaning up computation data in /tmp/cado.el75v1x0
11587948274418269623107733541612947869099688847157418064652163130325745425959808167 6038583386214970121733395711350050822669236771
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)

67×10163-229

c130

name 名前Eric Jeancolas
date 日付December 6, 2022 04:44:59 UTC 2022 年 12 月 6 日 (火) 13 時 44 分 59 秒 (日本時間)
composite number 合成数
2054732432684518514865680567847913775347362391567896792610481301498241081359320976106741967920109610772834178125588700324709459781<130>
prime factors 素因数
80935542429294992815270565778690527978077459945016254812967229<62>
25387269560583047819162611164724314883627010985250795753416606891689<68>
factorization results 素因数分解の結果
2054732432684518514865680567847913775347362391567896792610481301498241081359320976106741967920109610772834178125588700324709459781=80935542429294992815270565778690527978077459945016254812967229*25387269560583047819162611164724314883627010985250795753416606891689

cado polynomial
n: 2054732432684518514865680567847913775347362391567896792610481301498241081359320976106741967920109610772834178125588700324709459781
skew: 0.20
type: snfs
c0: -11
c5: 33500
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 33500*x^5-11
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3900000
tasks.lim1 = 3900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 25387269560583047819162611164724314883627010985250795753416606891689 80935542429294992815270565778690527978077459945016254812967229
Info:Square Root: Total cpu/real time for sqrt: 115.63/36.9029
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.35/44.1066
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.43/60.8271
Info:Filtering - Merging: Merged matrix has 503264 rows and total weight 85794544 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 105.32/29.7756
Info:Filtering - Merging: Total cpu/real time for replay: 16.16/13.9228
Info:Generate Factor Base: Total cpu/real time for makefb: 1.71/1.03865
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640988
Info:Lattice Sieving: Average J: 1894.13 for 336244 special-q, max bucket fill -bkmult 1.0,1s:1.252250
Info:Lattice Sieving: Total time: 41694.4s
Info:Linear Algebra: Total cpu/real time for bwc: 3738.04/1003.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2332.45, WCT time 619.94, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15744 iterations)
Info:Linear Algebra: Lingen CPU time 83.7, WCT time 21.97
Info:Linear Algebra: Mksol: CPU time 1274.36,  WCT time 341.52, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7936 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.71/17.903
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.31/99.4768
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 88.9s
Info:Quadratic Characters: Total cpu/real time for characters: 16.12/6.47492
Info:Square Root: Total cpu/real time for sqrt: 115.63/36.9029
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 80158.8/22355.9
Info:root: Cleaning up computation data in /tmp/cado.o681i7fp
25387269560583047819162611164724314883627010985250795753416606891689 80935542429294992815270565778690527978077459945016254812967229
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)

67×10165-229

c163

name 名前Erik Branger
date 日付November 28, 2022 17:52:44 UTC 2022 年 11 月 29 日 (火) 2 時 52 分 44 秒 (日本時間)
composite number 合成数
8290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829<163>
prime factors 素因数
609800799160615844250401342493092054957<39>
109575214205039633216925121179989799203627<42>
124066816651217812540523873631233470890468711257118017128772406805325730941316672611<84>
factorization results 素因数分解の結果
Number: 74442_165
N = 8290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829 (163 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=609800799160615844250401342493092054957 (pp39)
r2=109575214205039633216925121179989799203627 (pp42)
r3=124066816651217812540523873631233470890468711257118017128772406805325730941316672611 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.69 hours.
Factorization parameters were as follows:
n: 8290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 67
c0: -22
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 9839960
Relations: 1528192 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.74 hours.
Total relation processing time: 0.10 hours.
Pruned matrix : 1316793 x 1317018
Matrix solve time: 0.79 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 1.69 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

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

67×10167-229

c149

name 名前Eric Jeancolas
date 日付December 7, 2022 05:58:03 UTC 2022 年 12 月 7 日 (水) 14 時 58 分 3 秒 (日本時間)
composite number 合成数
91011106947633455233052059106625920529190037275292124975160237267714493688291152424603541353805569506680618261086718784230304770074795197481887827973<149>
prime factors 素因数
43017730567293006492743939330915089796998268811441856225141<59>
2115665000162293467356669068107235199231877565521369366726889047415361761108487330494825553<91>
factorization results 素因数分解の結果
91011106947633455233052059106625920529190037275292124975160237267714493688291152424603541353805569506680618261086718784230304770074795197481887827973=43017730567293006492743939330915089796998268811441856225141*2115665000162293467356669068107235199231877565521369366726889047415361761108487330494825553

cado polynomial
n: 91011106947633455233052059106625920529190037275292124975160237267714493688291152424603541353805569506680618261086718784230304770074795197481887827973
skew: 0.32
type: snfs
c0: -11
c5: 3350
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 3350*x^5-11
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 2115665000162293467356669068107235199231877565521369366726889047415361761108487330494825553 43017730567293006492743939330915089796998268811441856225141
Info:Square Root: Total cpu/real time for sqrt: 223.77/72.8883
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.12/45.366
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.57/17.122
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.96/102.587
Info:Filtering - Merging: Merged matrix has 846042 rows and total weight 144046140 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 189.17/53.5368
Info:Filtering - Merging: Total cpu/real time for replay: 30.27/26.3509
Info:Generate Factor Base: Total cpu/real time for makefb: 1.97/1.14079
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12075107
Info:Lattice Sieving: Average J: 1893.55 for 557975 special-q, max bucket fill -bkmult 1.0,1s:1.241160
Info:Lattice Sieving: Total time: 68700.7s
Info:Linear Algebra: Total cpu/real time for bwc: 11292.6/3054.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7134.22, WCT time 1915.86, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26624 iterations)
Info:Linear Algebra: Lingen CPU time 154.3, WCT time 40.36
Info:Linear Algebra: Mksol: CPU time 3869.34,  WCT time 1047.36, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.06/13.5006
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 162.71/162.474
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 133.3s
Info:Square Root: Total cpu/real time for sqrt: 223.77/72.8883
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 137109/37878.4
Info:root: Cleaning up computation data in /tmp/cado.uju9_66y
2115665000162293467356669068107235199231877565521369366726889047415361761108487330494825553 43017730567293006492743939330915089796998268811441856225141
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)

67×10168-229

c153

name 名前Bob Backstrom
date 日付December 1, 2022 06:52:00 UTC 2022 年 12 月 1 日 (木) 15 時 52 分 0 秒 (日本時間)
composite number 合成数
287586235592238184525772885537138442007361643808457040825973120755102114220343236478828903879810284248496443370414393878591278053604720390810534970941159<153>
prime factors 素因数
655487719849322258865351638736198136121<39>
438736267490024030145090385338790676560447245904084370280365756946259049786743027762095225317074216146439910715679<114>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 287586235592238184525772885537138442007361643808457040825973120755102114220343236478828903879810284248496443370414393878591278053604720390810534970941159 (153 digits)
Using B1=27470000, B2=144286522396, polynomial Dickson(12), sigma=1:418106734
Step 1 took 54018ms
Step 2 took 22547ms
********** Factor found in step 2: 655487719849322258865351638736198136121
Found prime factor of 39 digits: 655487719849322258865351638736198136121
Prime cofactor 438736267490024030145090385338790676560447245904084370280365756946259049786743027762095225317074216146439910715679 has 114 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)

67×10169-229

c137

name 名前Eric Jeancolas
date 日付December 7, 2022 19:55:34 UTC 2022 年 12 月 8 日 (木) 4 時 55 分 34 秒 (日本時間)
composite number 合成数
29619549525177963930963972632816671141559395111145872399327590014306852463854871299740280980697978465369760231918724187461048717035055693<137>
prime factors 素因数
6478978367255421150122186048106521011906549<43>
4571638898329149285398349865097127627900865249285244052654643895306970708348280811174062897657<94>
factorization results 素因数分解の結果
29619549525177963930963972632816671141559395111145872399327590014306852463854871299740280980697978465369760231918724187461048717035055693=6478978367255421150122186048106521011906549*4571638898329149285398349865097127627900865249285244052654643895306970708348280811174062897657

cado polynomial
n: 29619549525177963930963972632816671141559395111145872399327590014306852463854871299740280980697978465369760231918724187461048717035055693
skew: 0.63
type: snfs
c0: -55
c5: 536
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 536*x^5-55
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5000000
tasks.lim1 = 5000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 4571638898329149285398349865097127627900865249285244052654643895306970708348280811174062897657 6478978367255421150122186048106521011906549
Info:Square Root: Total cpu/real time for sqrt: 210.1/66.9721
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.11/46.7431
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.77/101.937
Info:Filtering - Merging: Merged matrix has 876470 rows and total weight 149295712 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 199.84/56.8203
Info:Filtering - Merging: Total cpu/real time for replay: 31.58/27.3483
Info:Generate Factor Base: Total cpu/real time for makefb: 2.15/1.23213
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12060023
Info:Lattice Sieving: Average J: 1893.86 for 557024 special-q, max bucket fill -bkmult 1.0,1s:1.237850
Info:Lattice Sieving: Total time: 72297.6s
Info:Linear Algebra: Total cpu/real time for bwc: 11931.4/3213.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7541.92, WCT time 2015.99, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Linear Algebra: Lingen CPU time 162.92, WCT time 42.72
Info:Linear Algebra: Mksol: CPU time 4086.4,  WCT time 1100.55, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.64/17.7219
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 162.16/159.463
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.6s
Info:Quadratic Characters: Total cpu/real time for characters: 31.06/13.9121
Info:Square Root: Total cpu/real time for sqrt: 210.1/66.9721
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 144679/39880.6
Info:root: Cleaning up computation data in /tmp/cado.nhjderji
4571638898329149285398349865097127627900865249285244052654643895306970708348280811174062897657 6478978367255421150122186048106521011906549
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)

67×10171-229

c146

name 名前Bob Backstrom
date 日付December 1, 2022 06:46:44 UTC 2022 年 12 月 1 日 (木) 15 時 46 分 44 秒 (日本時間)
composite number 合成数
31073567575552385049585206963604255198297112268264441327701326070928202002757138396544139663398513179168807988543850025265906319403485254394400719<146>
prime factors 素因数
53155328181419543963755105819747816790293<41>
584580485882770959302941746894750500015017601293339281825811863599433907693460995818507777800109361804883<105>
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 31073567575552385049585206963604255198297112268264441327701326070928202002757138396544139663398513179168807988543850025265906319403485254394400719 (146 digits)
Using B1=27110000, B2=144286522396, polynomial Dickson(12), sigma=1:3243153957
Step 1 took 53552ms
Step 2 took 22558ms
********** Factor found in step 2: 53155328181419543963755105819747816790293
Found prime factor of 41 digits: 53155328181419543963755105819747816790293
Prime cofactor 584580485882770959302941746894750500015017601293339281825811863599433907693460995818507777800109361804883 has 105 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)

67×10172-229

c155

name 名前Bob Backstrom
date 日付December 2, 2022 20:24:04 UTC 2022 年 12 月 3 日 (土) 5 時 24 分 4 秒 (日本時間)
composite number 合成数
15694079238467858783312498865314110795321223933110974909945905325086025781032958501945183066431763607200647722036810564329370860521037293436239597924519443<155>
prime factors 素因数
4904660010652817152651025159610572006525643344288277466312864287331541<70>
3199830203190568298147720291604261551649962186131382133676129943245035862068653534023<85>
factorization results 素因数分解の結果
Number: n
N=15694079238467858783312498865314110795321223933110974909945905325086025781032958501945183066431763607200647722036810564329370860521037293436239597924519443  ( 155 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sat Dec  3 06:55:24 2022  p70 factor: 4904660010652817152651025159610572006525643344288277466312864287331541
Sat Dec  3 06:55:24 2022  p85 factor: 3199830203190568298147720291604261551649962186131382133676129943245035862068653534023
Sat Dec  3 06:55:24 2022  elapsed time 00:16:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 67x10^172-22 = 74(171)2
#
n: 15694079238467858783312498865314110795321223933110974909945905325086025781032958501945183066431763607200647722036810564329370860521037293436239597924519443
m: 10000000000000000000000000000000000
deg: 5
c5: 3350
c0: -11
skew: 0.32
# Murphy_E = 1.242e-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, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1734244 hash collisions in 12886423 relations (11824006 unique)
Msieve: matrix is 923181 x 923406 (320.2 MB)

Sieving start time : 2022/12/03 05:18:02
Sieving end time  : 2022/12/03 06:38:09

Total sieving time: 1hrs 20min 7secs.

Total relation processing time: 0hrs 12min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

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)

67×10173-229

c170

name 名前Bob Backstrom
date 日付November 28, 2022 21:50:34 UTC 2022 年 11 月 29 日 (火) 6 時 50 分 34 秒 (日本時間)
composite number 合成数
15087439593945207823850764955705979580163845090276933331531848008683159264813839010263962637194366755389818905687739541251762077833173451510770630384752228212160926684051<170>
prime factors 素因数
3169117351696982276488077139522129787179655881328291<52>
4760770245969675150719313902302396581626875227012027374664409320231701618248961309903796049188714390058018112011681361<118>
factorization results 素因数分解の結果
Number: n
N=15087439593945207823850764955705979580163845090276933331531848008683159264813839010263962637194366755389818905687739541251762077833173451510770630384752228212160926684051  ( 170 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Nov 29 08:12:51 2022  p52 factor: 3169117351696982276488077139522129787179655881328291
Tue Nov 29 08:12:51 2022  p118 factor: 4760770245969675150719313902302396581626875227012027374664409320231701618248961309903796049188714390058018112011681361
Tue Nov 29 08:12:51 2022  elapsed time 00:16:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 67x10^173-22 = 74(172)2
#
n: 15087439593945207823850764955705979580163845090276933331531848008683159264813839010263962637194366755389818905687739541251762077833173451510770630384752228212160926684051
m: 10000000000000000000000000000000000
deg: 5
c5: 33500
c0: -11
skew: 0.20
# Murphy_E = 1.371e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 37250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1412880 hash collisions in 13768454 relations (13209582 unique)
Msieve: matrix is 918353 x 918579 (319.2 MB)

Sieving start time : 2022/11/29 03:45:33
Sieving end time  : 2022/11/29 07:55:22

Total sieving time: 4hrs 9min 49secs.

Total relation processing time: 0hrs 12min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 17sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
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)

67×10174-229

c131

name 名前Eric Jeancolas
date 日付December 12, 2022 05:48:21 UTC 2022 年 12 月 12 日 (月) 14 時 48 分 21 秒 (日本時間)
composite number 合成数
14081842162428639328429194422378770397125565516425260552583265878644662740391575060355327459775481033654635963349892285521684997621<131>
prime factors 素因数
131528579756034932132913802231686646237<39>
107062983486541612178707074226165483021161445898770740020604446274830609390209832113342621433<93>
factorization results 素因数分解の結果
14081842162428639328429194422378770397125565516425260552583265878644662740391575060355327459775481033654635963349892285521684997621=131528579756034932132913802231686646237*107062983486541612178707074226165483021161445898770740020604446274830609390209832113342621433

cado polynomial
n: 14081842162428639328429194422378770397125565516425260552583265878644662740391575060355327459775481033654635963349892285521684997621
skew: 0.63
type: snfs
c0: -55
c5: 536
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 536*x^5-55
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
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: 107062983486541612178707074226165483021161445898770740020604446274830609390209832113342621433 131528579756034932132913802231686646237
Info:Square Root: Total cpu/real time for sqrt: 222.36/72.9612
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 231.51/225.148
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 211.6s
Info:Square Root: Total cpu/real time for sqrt: 222.36/72.9612
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.8/89.588
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 123.88/111.928
Info:Filtering - Merging: Merged matrix has 968221 rows and total weight 165300026 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 226.34/63.8947
Info:Filtering - Merging: Total cpu/real time for replay: 33.5/29.0709
Info:Generate Factor Base: Total cpu/real time for makefb: 2.64/1.53521
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22411449
Info:Lattice Sieving: Average J: 1894.33 for 885503 special-q, max bucket fill -bkmult 1.0,1s:1.227770
Info:Lattice Sieving: Total time: 139067s
Info:Linear Algebra: Total cpu/real time for bwc: 14778.7/3987.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9362.01, WCT time 2514.31, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Linear Algebra: Lingen CPU time 179.98, WCT time 47.22
Info:Linear Algebra: Mksol: CPU time 5077.41,  WCT time 1365.46, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15360 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 32.32/14.2725
Info:Generate Free Relations: Total cpu/real time for freerel: 118.45/31.5509
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 270548/74447.8
Info:root: Cleaning up computation data in /tmp/cado.ay4d7fe6
107062983486541612178707074226165483021161445898770740020604446274830609390209832113342621433 131528579756034932132913802231686646237
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)

67×10176-229

c156

name 名前Bob Backstrom
date 日付December 2, 2022 14:41:58 UTC 2022 年 12 月 2 日 (金) 23 時 41 分 58 秒 (日本時間)
composite number 合成数
629164407863127583503884635028767261840892179921903128845282795731929177406216273723787746682611682251450013282376091928412286646222197446807752962971358219<156>
prime factors 素因数
88198959507756575097372769836900259081312913619889<50>
155242786618798613890219250775903852962969398346953<51>
45950395620522224153050841122652502349460708394155747107<56>
factorization results 素因数分解の結果
Number: n
N=629164407863127583503884635028767261840892179921903128845282795731929177406216273723787746682611682251450013282376091928412286646222197446807752962971358219  ( 156 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sat Dec  3 01:31:18 2022  found factor: 88198959507756575097372769836900259081312913619889
Sat Dec  3 01:32:24 2022  p50 factor: 88198959507756575097372769836900259081312913619889
Sat Dec  3 01:32:24 2022  p51 factor: 155242786618798613890219250775903852962969398346953
Sat Dec  3 01:32:24 2022  p56 factor: 45950395620522224153050841122652502349460708394155747107
Sat Dec  3 01:32:24 2022  elapsed time 00:21:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 67x10^176-22 = 74(175)2
#
n: 629164407863127583503884635028767261840892179921903128845282795731929177406216273723787746682611682251450013282376091928412286646222197446807752962971358219
m: 100000000000000000000000000000000000
deg: 5
c5: 335
c0: -11
skew: 0.50
# Murphy_E = 1.037e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 23200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1644296 hash collisions in 13697059 relations (12572737 unique)
Msieve: matrix is 991030 x 991255 (343.4 MB)

Sieving start time : 2022/12/02 22:22:35
Sieving end time  : 2022/12/03 01:10:34

Total sieving time: 2hrs 47min 59secs.

Total relation processing time: 0hrs 15min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,27,27,52,52,2.5,2.5,100000
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)

67×10178-229

c179

name 名前Bob Backstrom
date 日付December 4, 2022 04:19:49 UTC 2022 年 12 月 4 日 (日) 13 時 19 分 49 秒 (日本時間)
composite number 合成数
12407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<179>
prime factors 素因数
158470676103750997323438514200611826478867319<45>
299387812019568001707826367989280819012023836774888747331<57>
261515849929589977097812105439913884675240158215807677244646332194943420397763<78>
factorization results 素因数分解の結果
Number: n
N=12407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sun Dec  4 15:13:26 2022  found factor: 261515849929589977097812105439913884675240158215807677244646332194943420397763
Sun Dec  4 15:14:44 2022  p45 factor: 158470676103750997323438514200611826478867319
Sun Dec  4 15:14:44 2022  p57 factor: 299387812019568001707826367989280819012023836774888747331
Sun Dec  4 15:14:44 2022  p78 factor: 261515849929589977097812105439913884675240158215807677244646332194943420397763
Sun Dec  4 15:14:44 2022  elapsed time 00:19:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 67x10^178-22 = 74(177)2
#
n: 12407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
m: 100000000000000000000000000000000000
deg: 5
c5: 33500
c0: -11
skew: 0.20
# Murphy_E = 8.647e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 30650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2041277 hash collisions in 13956969 relations (12600330 unique)
Msieve: matrix is 959186 x 959411 (331.4 MB)

Sieving start time : 2022/12/04 11:16:44
Sieving end time  : 2022/12/04 14:53:59

Total sieving time: 3hrs 37min 15secs.

Total relation processing time: 0hrs 13min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,27,27,51,51,2.5,2.5,100000
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)

67×10181-229

c181

name 名前Bob Backstrom
date 日付December 3, 2022 22:44:12 UTC 2022 年 12 月 4 日 (日) 7 時 44 分 12 秒 (日本時間)
composite number 合成数
4135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469<181>
prime factors 素因数
304825974978760227290096931336646292933031168835802618209381<60>
13567749498460485149495558994056365006089835164625943165238155599275345073745535104093449108295164486715580241988990798849<122>
factorization results 素因数分解の結果
Number: n
N=4135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Dec  4 09:38:39 2022  p60 factor: 304825974978760227290096931336646292933031168835802618209381
Sun Dec  4 09:38:39 2022  p122 factor: 13567749498460485149495558994056365006089835164625943165238155599275345073745535104093449108295164486715580241988990798849
Sun Dec  4 09:38:39 2022  elapsed time 00:18:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 67x10^181-22 = 74(180)2
#
n: 4135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469
m: 1000000000000000000000000000000000000
deg: 5
c5: 335
c0: -11
skew: 0.50
# Murphy_E = 6.515e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1586614 hash collisions in 12666398 relations (11775919 unique)
Msieve: matrix is 958064 x 958289 (331.5 MB)

Sieving start time : 2022/12/04 06:01:10
Sieving end time  : 2022/12/04 09:19:47

Total sieving time: 3hrs 18min 37secs.

Total relation processing time: 0hrs 14min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,51,51,2.5,2.5,100000
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)

67×10185-229

c145

name 名前Eric Jeancolas
date 日付December 25, 2022 08:11:24 UTC 2022 年 12 月 25 日 (日) 17 時 11 分 24 秒 (日本時間)
composite number 合成数
6864979627131019451960088584568055306281272897077050417670144037148588234869565346953706907671830433660002336949242973886103488262537058488481501<145>
prime factors 素因数
2028274292412532644158381290789000441803284699<46>
3384640653787246588799777274013169777609054896993578904112307014036605338345172898372279178913093799<100>
factorization results 素因数分解の結果
6864979627131019451960088584568055306281272897077050417670144037148588234869565346953706907671830433660002336949242973886103488262537058488481501=2028274292412532644158381290789000441803284699*3384640653787246588799777274013169777609054896993578904112307014036605338345172898372279178913093799

cado polynomial
n: 6864979627131019451960088584568055306281272897077050417670144037148588234869565346953706907671830433660002336949242973886103488262537058488481501
skew: 0.80
type: snfs
c0: -22
c5: 67
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 67*x^5-22
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9100000
tasks.lim1 = 9100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3384640653787246588799777274013169777609054896993578904112307014036605338345172898372279178913093799 2028274292412532644158381290789000441803284699
Info:Square Root: Total cpu/real time for sqrt: 456.04/148.791
Info:Square Root: Total cpu/real time for sqrt: 456.04/148.791
Info:Generate Free Relations: Total cpu/real time for freerel: 118.97/32.1838
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.56/99.8716
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 288.99/286.968
Info:Filtering - Merging: Merged matrix has 1721088 rows and total weight 293026630 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 446.2/124.339
Info:Filtering - Merging: Total cpu/real time for replay: 65.19/60.6141
Info:Generate Factor Base: Total cpu/real time for makefb: 3.9/2.12056
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24074765
Info:Lattice Sieving: Average J: 1894.27 for 1536357 special-q, max bucket fill -bkmult 1.0,1s:1.158850
Info:Lattice Sieving: Total time: 281817s
Info:Linear Algebra: Total cpu/real time for bwc: 48728.5/12958.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31141.92, WCT time 8215.32, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 347.68, WCT time 90.29
Info:Linear Algebra: Mksol: CPU time 16927.39,  WCT time 4532.67, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 61.43/29.7097
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.52/443.19
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 368.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 571529/154926
Info:root: Cleaning up computation data in /tmp/cado.5kc06il0
3384640653787246588799777274013169777609054896993578904112307014036605338345172898372279178913093799 2028274292412532644158381290789000441803284699
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)

67×10186-229

c147

name 名前Bob Backstrom
date 日付December 7, 2022 14:46:13 UTC 2022 年 12 月 7 日 (水) 23 時 46 分 13 秒 (日本時間)
composite number 合成数
603477835157622934262838035019747787623187367806345463732363487043908321801203169928900362718161471720589019291057182157669433062241117267091812979<147>
prime factors 素因数
5911802544812013044046153437892665572767904597<46>
164673764027693663454934685577998486970428312431027<51>
619893369562793309904325647410873126378710172570941<51>
factorization results 素因数分解の結果
Number: n
N=3664687199693415159241283713818485147876754129528010096406986618655506279824448262791140902515777  ( 97 digits)
Divisors found:

Thu Dec  8 01:41:27 2022  p46 factor: 5911802544812013044046153437892665572767904597
Thu Dec  8 01:41:27 2022  p51 factor: 619893369562793309904325647410873126378710172570941
Thu Dec  8 01:41:27 2022  elapsed time 00:02:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 67x10^186-22 = 74(185)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 603477835157622934262838035019747787623187367806345463732363487043908321801203169928900362718161471720589019291057182157669433062241117267091812979 (147 digits)
# Using B1=25190000, B2=96190324246, polynomial Dickson(12), sigma=1:3319979482
# Step 1 took 51780ms
# Step 2 took 18242ms
# ********** Factor found in step 2: 164673764027693663454934685577998486970428312431027
# Found prime factor of 51 digits: 164673764027693663454934685577998486970428312431027
# Composite cofactor 3664687199693415159241283713818485147876754129528010096406986618655506279824448262791140902515777 has 97 digits
#

n: 3664687199693415159241283713818485147876754129528010096406986618655506279824448262791140902515777

Y0: -139561592565218022205670
Y1: 3938565285671
c0: -42900762767206684911696963
c1: 329522643914424586484
c2: 2176554169223623
c3: -3059472284
c4: 9660

# skew 318438.48, size 2.760e-13, alpha -5.281, combined = 1.927e-08 rroots = 2

skew: 318438.48

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

Msieve: found 272632 hash collisions in 5657574 relations (5758793 unique)
Msieve: matrix is 178952 x 179178 (62.9 MB)

Sieving start time : 2022/12/08 01:35:45
Sieving end time  : 2022/12/08 01:38:10

Total sieving time: 0hrs 2min 25secs.

Total relation processing time: 0hrs 1min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000
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)

67×10187-229

c164

name 名前Bob Backstrom
date 日付December 13, 2022 18:19:47 UTC 2022 年 12 月 14 日 (水) 3 時 19 分 47 秒 (日本時間)
composite number 合成数
17782393888904923725142897823260066906678806852371982201924950878578094347058428400540912247891627900986613678004122970469049921470366761565766866946866636623039773<164>
prime factors 素因数
7529947883161566797266692003721552987062065137723952070345470600537<67>
2361556037946800046866408673074164947078017944143318743570697229739686723483621593264114353846629<97>
factorization results 素因数分解の結果
Number: n
N=17782393888904923725142897823260066906678806852371982201924950878578094347058428400540912247891627900986613678004122970469049921470366761565766866946866636623039773  ( 164 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Dec 14 05:05:45 2022  p67 factor: 7529947883161566797266692003721552987062065137723952070345470600537
Wed Dec 14 05:05:45 2022  p97 factor: 2361556037946800046866408673074164947078017944143318743570697229739686723483621593264114353846629
Wed Dec 14 05:05:45 2022  elapsed time 01:04:05 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 67x10^187-22 = 74(186)2
#
n: 17782393888904923725142897823260066906678806852371982201924950878578094347058428400540912247891627900986613678004122970469049921470366761565766866946866636623039773
m: 10000000000000000000000000000000000000
deg: 5
c5: 3350
c0: -11
skew: 0.32
# Murphy_E = 3.077e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1603076 hash collisions in 12136797 relations (11172937 unique)
Msieve: matrix is 1581475 x 1581700 (552.5 MB)

Sieving start time : 2022/12/13 22:59:33
Sieving end time  : 2022/12/14 04:01:16

Total sieving time: 5hrs 1min 43secs.

Total relation processing time: 0hrs 48min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 36sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,27,27,52,52,2.5,2.5,100000
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)

67×10189-229

c171

name 名前Bob Backstrom
date 日付December 13, 2022 12:04:36 UTC 2022 年 12 月 13 日 (火) 21 時 4 分 36 秒 (日本時間)
composite number 合成数
362469970965962509788004181404959620080390466088483222531154402572362116216081473092811376135308893989045788390024372466860146920668098423952311843169887423371439791543157<171>
prime factors 素因数
121068539193983579228317419768528574885843914253048781713<57>
2993923717747931781705151462362483878404569153899502169646045810667852314966386957026756323020689890623341372333989<115>
factorization results 素因数分解の結果
Number: n
N=362469970965962509788004181404959620080390466088483222531154402572362116216081473092811376135308893989045788390024372466860146920668098423952311843169887423371439791543157  ( 171 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Dec 13 22:40:03 2022  p57 factor: 121068539193983579228317419768528574885843914253048781713
Tue Dec 13 22:40:03 2022  p115 factor: 2993923717747931781705151462362483878404569153899502169646045810667852314966386957026756323020689890623341372333989
Tue Dec 13 22:40:03 2022  elapsed time 00:55:35 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 67x10^189-22 = 74(188)2
#
n: 362469970965962509788004181404959620080390466088483222531154402572362116216081473092811376135308893989045788390024372466860146920668098423952311843169887423371439791543157
m: 50000000000000000000000000000000000000
deg: 5
c5: 536
c0: -55
skew: 0.63
# Murphy_E = 2.743e-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 1819831 hash collisions in 13163168 relations (12022545 unique)
Msieve: matrix is 1480596 x 1480821 (517.1 MB)

Sieving start time : 2022/12/13 15:56:50
Sieving end time  : 2022/12/13 21:44:09

Total sieving time: 5hrs 47min 19secs.

Total relation processing time: 0hrs 41min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 58sec.

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 17:01:03 UTC 2022 年 12 月 10 日 (土) 2 時 1 分 3 秒 (日本時間)

67×10191-229

c143

name 名前Eric Jeancolas
date 日付July 8, 2023 04:39:04 UTC 2023 年 7 月 8 日 (土) 13 時 39 分 4 秒 (日本時間)
composite number 合成数
21526052662179932334254716325318494940975241026282141928446223812264928407781066092229190867484540413087301017877951384960107287962925530707489<143>
prime factors 素因数
105667141029838402409434303238440578070371311332218628017078288113<66>
203715672179503580310309408655379217029280726034825062388972136672727764437553<78>
factorization results 素因数分解の結果
21526052662179932334254716325318494940975241026282141928446223812264928407781066092229190867484540413087301017877951384960107287962925530707489=105667141029838402409434303238440578070371311332218628017078288113*203715672179503580310309408655379217029280726034825062388972136672727764437553

cado polynomial
n: 21526052662179932334254716325318494940975241026282141928446223812264928407781066092229190867484540413087301017877951384960107287962925530707489
skew: 0.50
type: snfs
c0: -11
c5: 335
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 335*x^5-11
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 203715672179503580310309408655379217029280726034825062388972136672727764437553 105667141029838402409434303238440578070371311332218628017078288113
Info:Square Root: Total cpu/real time for sqrt: 1115.35/203.057
Info:Filtering - Merging: Merged matrix has 2408841 rows and total weight 410815951 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1465.13/198.84
Info:Filtering - Merging: Total cpu/real time for replay: 89.4/76.3607
Info:Filtering - Singleton removal: Total cpu/real time for purge: 662.65/316.932
Info:Linear Algebra: Total cpu/real time for bwc: 90729.2/23593.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57987.26, WCT time 15112.86, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations)
Info:Linear Algebra: Lingen CPU time 774.08, WCT time 98.57
Info:Linear Algebra: Mksol: CPU time 31120.18,  WCT time 8097.14, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 108.94/27.7616
Info:Generate Free Relations: Total cpu/real time for freerel: 160.28/20.5582
Info:Square Root: Total cpu/real time for sqrt: 1115.35/203.057
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 826.24/404.15
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 324.1s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28611749
Info:Lattice Sieving: Average J: 1895.44 for 3032097 special-q, max bucket fill -bkmult 1.0,1s:1.071920
Info:Lattice Sieving: Total time: 647013s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 220.21/71.6625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.14/1.5972
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.3733e+06/348535
Info:root: Cleaning up computation data in /tmp/cado.7l_wd38l
203715672179503580310309408655379217029280726034825062388972136672727764437553 105667141029838402409434303238440578070371311332218628017078288113
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)
403e62350Ignacio SantosDecember 9, 2022 11:21:07 UTC 2022 年 12 月 9 日 (金) 20 時 21 分 7 秒 (日本時間)

67×10192-229

c109

name 名前Ignacio Santos
date 日付November 26, 2022 13:07:24 UTC 2022 年 11 月 26 日 (土) 22 時 7 分 24 秒 (日本時間)
composite number 合成数
9797124170526010797954522782510183331641328967298519834177051753766069072394796378553466486563895809349360489<109>
prime factors 素因数
9093158981216757564586673926432594327217<40>
1077417011047909282187389527940060260379031914026465005805283112783417<70>
factorization results 素因数分解の結果
Number: 1
N=9797124170526010797954522782510183331641328967298519834177051753766069072394796378553466486563895809349360489
  ( 109 digits)
Divisors found:
 r1=9093158981216757564586673926432594327217 (pp40)
 r2=1077417011047909282187389527940060260379031914026465005805283112783417 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.96 hours.
Scaled time: 70.02 units (timescale=7.813).
Factorization parameters were as follows:
name: 1
n: 9797124170526010797954522782510183331641328967298519834177051753766069072394796378553466486563895809349360489
skew: 17471.37
# norm 6.33e+014
c5: 66300
c4: 895108316
c3: -49305346659918
c2: 42402180743879702
c1: 7946848078282776240407
c0: -36377304610286471496175329
# alpha -5.47
Y1: 105213985283
Y0: -682208044039248406468
# Murphy_E 1.06e-009
# M 331550439983552915429984815151456245855753053404530970898580125976487730233006495246237830458987739220016032
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 : 398189 x 398415
Total sieving time: 8.85 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 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: 8.96 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)

67×10193-229

c148

name 名前Dmitry Domanov
date 日付December 10, 2022 10:33:55 UTC 2022 年 12 月 10 日 (土) 19 時 33 分 55 秒 (日本時間)
composite number 合成数
3221662562537220798383876136206191893838060405257290502950257395776731282254004153194386373488497808432919038226894575961294997766295550698708895001<148>
prime factors 素因数
3232839050775921363329748450531001321<37>
composite cofactor 合成数の残り
996542825651645704566632039810128954395367593063591079977281963470738759440801812021221475538399774596924828081<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:964952582
Step 1 took 7020ms
Step 2 took 3561ms
********** Factor found in step 2: 3232839050775921363329748450531001321
Found prime factor of 37 digits: 3232839050775921363329748450531001321
Composite cofactor 996542825651645704566632039810128954395367593063591079977281963470738759440801812021221475538399774596924828081 has 111 digits

c111

name 名前Eric Jeancolas
date 日付December 10, 2022 22:12:36 UTC 2022 年 12 月 11 日 (日) 7 時 12 分 36 秒 (日本時間)
composite number 合成数
996542825651645704566632039810128954395367593063591079977281963470738759440801812021221475538399774596924828081<111>
prime factors 素因数
19886525644563217471688163378353857273273<41>
50111459561267848332146355158113768469099458538205227791277611936442297<71>
factorization results 素因数分解の結果
996542825651645704566632039810128954395367593063591079977281963470738759440801812021221475538399774596924828081=19886525644563217471688163378353857273273*50111459561267848332146355158113768469099458538205227791277611936442297

cado polynomial
n: 996542825651645704566632039810128954395367593063591079977281963470738759440801812021221475538399774596924828081
skew: 18985.369
c0: 130453381853099561267856045
c1: 164985908232518153971
c2: -753888979357915797
c3: -9810626648635
c4: 463519776
c5: 58320
Y0: -2195650614903994615004
Y1: 1281153629845883
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.370e-06
# f(x) = 58320*x^5+463519776*x^4-9810626648635*x^3-753888979357915797*x^2+164985908232518153971*x+130453381853099561267856045
# g(x) = 1281153629845883*x-2195650614903994615004

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

cado log (extracts)
Info:Square Root: Factors: 50111459561267848332146355158113768469099458538205227791277611936442297 19886525644563217471688163378353857273273
Info:Square Root: Total cpu/real time for sqrt: 96.42/29.6868
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 255.05
Info:Polynomial Selection (root optimized): Rootsieve time: 254.04
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11845/32.340/39.512/46.410/1.098
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9290/32.110/34.981/39.930/0.889
Info:Polynomial Selection (size optimized): Total time: 703.19
Info:Quadratic Characters: Total cpu/real time for characters: 11.55/4.59843
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 96.03/112.48
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 96.42/29.6868
Info:Generate Free Relations: Total cpu/real time for freerel: 62.63/17.8528
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.95/21.5978
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.77/68.065
Info:Filtering - Merging: Merged matrix has 313161 rows and total weight 48601385 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.49/14.5549
Info:Filtering - Merging: Total cpu/real time for replay: 10.26/8.62297
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/0.662686
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5495109
Info:Lattice Sieving: Average J: 1902.32 for 112550 special-q, max bucket fill -bkmult 1.0,1s:1.316070
Info:Lattice Sieving: Total time: 10549.6s
Info:Linear Algebra: Total cpu/real time for bwc: 1327.78/360.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 795.49, WCT time 214.78, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 48.75, WCT time 12.77
Info:Linear Algebra: Mksol: CPU time 457.56,  WCT time 122.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21671.8/6147.65
Info:root: Cleaning up computation data in /tmp/cado.d5xsyptx
50111459561267848332146355158113768469099458538205227791277611936442297 19886525644563217471688163378353857273273
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)
403e61000 / 2078Dmitry DomanovDecember 10, 2022 09:11:28 UTC 2022 年 12 月 10 日 (土) 18 時 11 分 28 秒 (日本時間)

67×10194-229

c133

name 名前Eric Jeancolas
date 日付December 9, 2022 08:20:34 UTC 2022 年 12 月 9 日 (金) 17 時 20 分 34 秒 (日本時間)
composite number 合成数
2316632604200310025129503627921158863973268396777723386392497628056084808233170066010780084526570585351078738647575085822460787437717<133>
prime factors 素因数
9135306039890254389837495599360819224613719462571995584077<58>
253591132479250858102093698513634944301038631226882093569873825359823337321<75>
factorization results 素因数分解の結果
2316632604200310025129503627921158863973268396777723386392497628056084808233170066010780084526570585351078738647575085822460787437717=9135306039890254389837495599360819224613719462571995584077*253591132479250858102093698513634944301038631226882093569873825359823337321

cado polynomial
n: 2316632604200310025129503627921158863973268396777723386392497628056084808233170066010780084526570585351078738647575085822460787437717
skew: 63439.084
c0: -113600671393151926553860775205
c1: 1439026995706014246982968
c2: 9808884311681863234
c3: -1848585688301375
c4: -8482560428
c5: 155040
Y0: -27239313468885881067821978
Y1: 1768563091219743583
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.541e-07
# f(x) = 155040*x^5-8482560428*x^4-1848585688301375*x^3+9808884311681863234*x^2+1439026995706014246982968*x-113600671393151926553860775205
# g(x) = 1768563091219743583*x-27239313468885881067821978

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 253591132479250858102093698513634944301038631226882093569873825359823337321 9135306039890254389837495599360819224613719462571995584077
Info:Square Root: Total cpu/real time for sqrt: 384.52/116.813
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.5/189.693
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.0s
Info:Square Root: Total cpu/real time for sqrt: 384.52/116.813
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.33/76.623
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 76.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.45/91.3456
Info:Filtering - Merging: Merged matrix has 1186310 rows and total weight 202517099 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 307.63/86.4084
Info:Filtering - Merging: Total cpu/real time for replay: 42.4/36.6427
Info:Generate Factor Base: Total cpu/real time for makefb: 15.09/4.246
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020226
Info:Lattice Sieving: Average J: 3802.34 for 515823 special-q, max bucket fill -bkmult 1.0,1s:1.281860
Info:Lattice Sieving: Total time: 175908s
Info:Linear Algebra: Total cpu/real time for bwc: 21815.8/5910.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13832.34, WCT time 3721.84, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37120 iterations)
Info:Linear Algebra: Lingen CPU time 238.19, WCT time 62.31
Info:Linear Algebra: Mksol: CPU time 7546.66,  WCT time 2036.0, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6251.14
Info:Polynomial Selection (root optimized): Rootsieve time: 6248.6
Info:Quadratic Characters: Total cpu/real time for characters: 39.62/18.4036
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53949/37.930/47.558/52.300/0.981
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43998/37.510/42.335/48.180/0.944
Info:Polynomial Selection (size optimized): Total time: 11260.1
Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/64.6663
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 363625/99953.1
Info:root: Cleaning up computation data in /tmp/cado.amtp6fdp
253591132479250858102093698513634944301038631226882093569873825359823337321 9135306039890254389837495599360819224613719462571995584077
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)
403e62350Ignacio SantosNovember 26, 2022 14:30:25 UTC 2022 年 11 月 26 日 (土) 23 時 30 分 25 秒 (日本時間)
4511e64480Ignacio SantosDecember 2, 2022 16:44:09 UTC 2022 年 12 月 3 日 (土) 1 時 44 分 9 秒 (日本時間)

67×10195-229

c196

name 名前Bob Backstrom
date 日付December 16, 2022 11:42:13 UTC 2022 年 12 月 16 日 (金) 20 時 42 分 13 秒 (日本時間)
composite number 合成数
3722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<196>
prime factors 素因数
10048043017474169726027749892951742636967197247984266701<56>
32881766598325111750377733134872777074906626887111518991793959<62>
11265894231749844822499088574527323216305856887295178807231960905790430920885719<80>
factorization results 素因数分解の結果
Number: n
N=3722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Dec 16 22:29:25 2022  found factor: 10048043017474169726027749892951742636967197247984266701
Fri Dec 16 22:31:45 2022  p56 factor: 10048043017474169726027749892951742636967197247984266701
Fri Dec 16 22:31:45 2022  p62 factor: 32881766598325111750377733134872777074906626887111518991793959
Fri Dec 16 22:31:45 2022  p80 factor: 11265894231749844822499088574527323216305856887295178807231960905790430920885719
Fri Dec 16 22:31:45 2022  elapsed time 01:17:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 67x10^195-22 = 74(194)2
#
n: 3722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 1000000000000000000000000000000000000000
deg: 5
c5: 67
c0: -22
skew: 0.80
# Murphy_E = 1.892e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1933351 hash collisions in 13790962 relations (12561600 unique)
Msieve: matrix is 1877274 x 1877499 (656.0 MB)

Sieving start time : 2022/12/16 13:49:52
Sieving end time  : 2022/12/16 21:13:52

Total sieving time: 7hrs 24min 0secs.

Total relation processing time: 1hrs 8min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 41sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 09:11:36 UTC 2022 年 12 月 10 日 (土) 18 時 11 分 36 秒 (日本時間)

67×10198-229

c142

name 名前Bob Backstrom
date 日付May 27, 2023 22:52:37 UTC 2023 年 5 月 28 日 (日) 7 時 52 分 37 秒 (日本時間)
composite number 合成数
2155898041061730521535591754653411929271171439953096930553520159131418992240325227773093035087946338849520262785987705404402210922169102145221<142>
prime factors 素因数
1552803686570365884192584561357959509056002187<46>
1388390599344468512380779830600501629042923297398343865880598921363778032971986964717952195635183<97>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 2155898041061730521535591754653411929271171439953096930553520159131418992240325227773093035087946338849520262785987705404402210922169102145221 (142 digits)
Using B1=37960000, B2=192391008826, polynomial Dickson(12), sigma=1:1791596152
Step 1 took 68587ms
Step 2 took 22276ms
********** Factor found in step 2: 1552803686570365884192584561357959509056002187
Found prime factor of 46 digits: 1552803686570365884192584561357959509056002187
Prime cofactor 1388390599344468512380779830600501629042923297398343865880598921363778032971986964717952195635183 has 97 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)
403e633501000Dmitry DomanovDecember 10, 2022 09:11:43 UTC 2022 年 12 月 10 日 (土) 18 時 11 分 43 秒 (日本時間)
2350Ignacio SantosFebruary 15, 2023 11:49:59 UTC 2023 年 2 月 15 日 (水) 20 時 49 分 59 秒 (日本時間)

67×10199-229

c189

name 名前Bob Backstrom
date 日付May 28, 2023 21:16:23 UTC 2023 年 5 月 29 日 (月) 6 時 16 分 23 秒 (日本時間)
composite number 合成数
787800826479186409000794364813536786346069315302894974346718496473789942274191287792321754199354620594570824517264844552522051557968697079489402259867032290035475296118786481353139990489603<189>
prime factors 素因数
20202528541703573726184918521608852019374581780931298011<56>
38995159682756982236485143822198775355125190509531908336205391090651695497234534742005395813806650191579700348496045847381098772666873<134>
factorization results 素因数分解の結果
Number: n
N=787800826479186409000794364813536786346069315302894974346718496473789942274191287792321754199354620594570824517264844552522051557968697079489402259867032290035475296118786481353139990489603  ( 189 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon May 29 07:07:32 2023  prp56 factor: 20202528541703573726184918521608852019374581780931298011
Mon May 29 07:07:32 2023  prp134 factor: 38995159682756982236485143822198775355125190509531908336205391090651695497234534742005395813806650191579700348496045847381098772666873
Mon May 29 07:07:32 2023  elapsed time 03:40:00 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 67x10^199-22 = 74(198)2
#
n: 787800826479186409000794364813536786346069315302894974346718496473789942274191287792321754199354620594570824517264844552522051557968697079489402259867032290035475296118786481353139990489603
m: 5000000000000000000000000000000000000000
deg: 5
c5: 536
c0: -55
skew: 0.63
# Murphy_E = 1.054e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 47936167)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2255522 hash collisions in 14839644 relations (13289199 unique)
Msieve: matrix is 2613156 x 2613381 (740.9 MB)

Sieving start time: 2023/05/28 06:44:41
Sieving end time  : 2023/05/29 03:27:17

Total sieving time: 20hrs 42min 36secs.

Total relation processing time: 3hrs 32min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 33sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 10, 2022 09:11:49 UTC 2022 年 12 月 10 日 (土) 18 時 11 分 49 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 17, 2023 16:34:37 UTC 2023 年 2 月 18 日 (土) 1 時 34 分 37 秒 (日本時間)

67×10200-229

c196

name 名前Dmitry Domanov
date 日付January 8, 2023 15:51:24 UTC 2023 年 1 月 9 日 (月) 0 時 51 分 24 秒 (日本時間)
composite number 合成数
4021372092157844256460304255812083082747833560810948695694971124147559147181018163397351176221326716675729758993768673871524964317825241972561037826106267458456825468849971610313438945368159616061<196>
prime factors 素因数
695206342788429602195331853850083420499<39>
composite cofactor 合成数の残り
5784429520634650353318256622873982660221734682236609264422401546471711760501447824657708348347178752106955239778571918062413462404572409498139381602063483439<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:57476969
Step 1 took 36256ms
Step 2 took 17468ms
********** Factor found in step 2: 695206342788429602195331853850083420499
Found prime factor of 39 digits: 695206342788429602195331853850083420499
Composite cofactor 5784429520634650353318256622873982660221734682236609264422401546471711760501447824657708348347178752106955239778571918062413462404572409498139381602063483439 has 157 digits

c157

name 名前Eric Jeancolas
date 日付June 30, 2023 07:51:09 UTC 2023 年 6 月 30 日 (金) 16 時 51 分 9 秒 (日本時間)
composite number 合成数
5784429520634650353318256622873982660221734682236609264422401546471711760501447824657708348347178752106955239778571918062413462404572409498139381602063483439<157>
prime factors 素因数
1427644035948936350361815601036910690315467129078897150330118572191312079479<76>
4051730946215745983604562077773265577278562397887598503297642167497889048269151241<82>
factorization results 素因数分解の結果
5784429520634650353318256622873982660221734682236609264422401546471711760501447824657708348347178752106955239778571918062413462404572409498139381602063483439=1427644035948936350361815601036910690315467129078897150330118572191312079479*4051730946215745983604562077773265577278562397887598503297642167497889048269151241

cado polynomial
n: 5784429520634650353318256622873982660221734682236609264422401546471711760501447824657708348347178752106955239778571918062413462404572409498139381602063483439
skew: 0.80
type: snfs
c0: -22
c5: 67
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 67*x^5-22
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1427644035948936350361815601036910690315467129078897150330118572191312079479 4051730946215745983604562077773265577278562397887598503297642167497889048269151241
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2952.03/163.923
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 92781.5/11582.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60860.8, WCT time 7604.28, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (81920 iterations)
Info:Linear Algebra: Lingen CPU time 478.45, WCT time 30.9
Info:Linear Algebra: Mksol: CPU time 30880.85,  WCT time 3882.84, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (40960 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.42/0.374231
Info:Generate Free Relations: Total cpu/real time for freerel: 135.94/12.3355
Info:Square Root: Total cpu/real time for sqrt: 2952.03/163.923
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 167.45/133.404
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 133.3s
Info:Quadratic Characters: Total cpu/real time for characters: 72.56/14.0187
Info:Filtering - Singleton removal: Total cpu/real time for purge: 176.66/94.5145
Info:Filtering - Merging: Merged matrix has 2612407 rows and total weight 445210525 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 582.25/35.0934
Info:Filtering - Merging: Total cpu/real time for replay: 48.69/42.5255
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43292871
Info:Lattice Sieving: Average J: 3789.79 for 1528358 special-q, max bucket fill -bkmult 1.0,1s:1.145440
Info:Lattice Sieving: Total time: 559256s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 395.39/236.002
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 211.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.16244e+06/59143.6
Info:root: Cleaning up computation data in /tmp/cado.e6agpf41
1427644035948936350361815601036910690315467129078897150330118572191312079479 4051730946215745983604562077773265577278562397887598503297642167497889048269151241
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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 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)
403e61000Dmitry DomanovDecember 19, 2022 12:10:24 UTC 2022 年 12 月 19 日 (月) 21 時 10 分 24 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:56:22 UTC 2023 年 1 月 8 日 (日) 8 時 56 分 22 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:20:18 UTC 2023 年 4 月 29 日 (土) 18 時 20 分 18 秒 (日本時間)

67×10201-229

c191

name 名前Bob Backstrom
date 日付June 28, 2023 00:19:07 UTC 2023 年 6 月 28 日 (水) 9 時 19 分 7 秒 (日本時間)
composite number 合成数
45409764709162603004462745790260119273374765180125307935112143592318610396483041593755661834631161955189835684075941033929799841333964247543937742538198578071731480203692610582330159616782043<191>
prime factors 素因数
8883608166492460756745567459026973754644747881472967069092541434284927193923159<79>
5111635256543723074178855117730477293636196439963380828971292247660723460362281213559194602796676777874861013277<112>
factorization results 素因数分解の結果
Number: n
N=45409764709162603004462745790260119273374765180125307935112143592318610396483041593755661834631161955189835684075941033929799841333964247543937742538198578071731480203692610582330159616782043  ( 191 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Jun 27 21:55:50 2023  prp79 factor: 8883608166492460756745567459026973754644747881472967069092541434284927193923159
Tue Jun 27 21:55:50 2023  prp112 factor: 5111635256543723074178855117730477293636196439963380828971292247660723460362281213559194602796676777874861013277
Tue Jun 27 21:55:50 2023  elapsed time 04:13:08 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 67x10^201-22 = 74(200)2
#
n: 45409764709162603004462745790260119273374765180125307935112143592318610396483041593755661834631161955189835684075941033929799841333964247543937742538198578071731480203692610582330159616782043
m: 10000000000000000000000000000000000000000
deg: 5
c5: 335
c0: -11
skew: 0.50
# Murphy_E = 9.727e-12
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 55500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2453012 hash collisions in 15326391 relations (13564877 unique)
Msieve: matrix is 2756937 x 2757162 (781.0 MB)

Sieving start time: 2023/06/26 17:11:29
Sieving end time  : 2023/06/27 17:42:27

Total sieving time: 24hrs 30min 58secs.

Total relation processing time: 4hrs 5min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 19, 2022 12:10:37 UTC 2022 年 12 月 19 日 (月) 21 時 10 分 37 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:56:34 UTC 2023 年 1 月 8 日 (日) 8 時 56 分 34 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:20:38 UTC 2023 年 4 月 29 日 (土) 18 時 20 分 38 秒 (日本時間)

67×10203-229

c181

name 名前Dmitry Domanov
date 日付December 19, 2022 17:49:54 UTC 2022 年 12 月 20 日 (火) 2 時 49 分 54 秒 (日本時間)
composite number 合成数
2203141903712417439865141501701840549104687837205857913075228083476055758466116752166112248280307408414226044782494016873794330350856561653439730091526194112288468489954344553060607<181>
prime factors 素因数
911761870091319620084176254257467962929<39>
composite cofactor 合成数の残り
2416356700123637177349823968490849990798689823306159535304537843979127259337185239553010740748931733991738683349388777765398332832316788737583<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:286309925
Step 1 took 6562ms
Step 2 took 3121ms
********** Factor found in step 2: 911761870091319620084176254257467962929
Found prime factor of 39 digits: 911761870091319620084176254257467962929
Composite cofactor 2416356700123637177349823968490849990798689823306159535304537843979127259337185239553010740748931733991738683349388777765398332832316788737583 has 142 digits

c142

name 名前Bob Backstrom
date 日付August 27, 2023 11:01:03 UTC 2023 年 8 月 27 日 (日) 20 時 1 分 3 秒 (日本時間)
composite number 合成数
2416356700123637177349823968490849990798689823306159535304537843979127259337185239553010740748931733991738683349388777765398332832316788737583<142>
prime factors 素因数
604031495045445104768857142877996436215361<42>
4000381966741385562611788829197419364268215071511669489235857526326048607456695666329456237749051503<100>
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 2416356700123637177349823968490849990798689823306159535304537843979127259337185239553010740748931733991738683349388777765398332832316788737583 (142 digits)
Using B1=51980000, B2=288593765476, polynomial Dickson(12), sigma=1:270748823
Step 1 took 102102ms
Step 2 took 35993ms
********** Factor found in step 2: 604031495045445104768857142877996436215361
Found prime factor of 42 digits: 604031495045445104768857142877996436215361
Prime cofactor 4000381966741385562611788829197419364268215071511669489235857526326048607456695666329456237749051503 has 100 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)
403e61000Dmitry DomanovDecember 19, 2022 12:10:45 UTC 2022 年 12 月 19 日 (月) 21 時 10 分 45 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:58:36 UTC 2023 年 1 月 8 日 (日) 8 時 58 分 36 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:20:48 UTC 2023 年 4 月 29 日 (土) 18 時 20 分 48 秒 (日本時間)

67×10204-229

c204

name 名前Bob Backstrom
date 日付November 22, 2023 02:43:57 UTC 2023 年 11 月 22 日 (水) 11 時 43 分 57 秒 (日本時間)
composite number 合成数
128352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249<204>
prime factors 素因数
186197653348542795724277400648214446638723875694647543147<57>
689334629696934577758554954637524032081718366212434519121629487516972378886580239275421437890780821129468233529472415040094783000247374325037645267<147>
factorization results 素因数分解の結果
Number: n
N=128352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249  ( 204 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Nov 22 13:39:04 2023  prp57 factor: 186197653348542795724277400648214446638723875694647543147
Wed Nov 22 13:39:04 2023  prp147 factor: 689334629696934577758554954637524032081718366212434519121629487516972378886580239275421437890780821129468233529472415040094783000247374325037645267
Wed Nov 22 13:39:04 2023  elapsed time 03:26:28 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 67x10^204-22 = 74(203)2
#
n: 128352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249
m: 10000000000000000000000000000000000
deg: 6
c6: 67
c0: -22
skew: 0.83
# Murphy_E = 6.623e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4307983 hash collisions in 20554309 relations (17079066 unique)
Msieve: matrix is 2536793 x 2537018 (718.0 MB)

Sieving start time: 2023/11/21 03:34:11
Sieving end time  : 2023/11/22 10:12:11

Total sieving time: 30hrs 38min 0secs.

Total relation processing time: 3hrs 13min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 40sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovDecember 19, 2022 12:10:16 UTC 2022 年 12 月 19 日 (月) 21 時 10 分 16 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovJanuary 18, 2023 13:44:15 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 15 秒 (日本時間)
1000Dmitry DomanovMay 11, 2023 00:09:56 UTC 2023 年 5 月 11 日 (木) 9 時 9 分 56 秒 (日本時間)

67×10205-229

c166

composite cofactor 合成数の残り
7568550633568998103957178273117797579288319253030023625720607626496368842862892885406807079630722847451398368463959902627080860491573622854231056087462080173910749891<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)
403e61000Dmitry DomanovDecember 18, 2022 20:11:51 UTC 2022 年 12 月 19 日 (月) 5 時 11 分 51 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:58:21 UTC 2023 年 1 月 8 日 (日) 8 時 58 分 21 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:20:55 UTC 2023 年 4 月 29 日 (土) 18 時 20 分 55 秒 (日本時間)

67×10207-229

c160

composite cofactor 合成数の残り
3947275470861015480977065669757517856687536083014472162849213429439228153000676158941564473528556082359595239639200385683177061975543717741025592265227646428681<160>

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)
403e61000Dmitry DomanovDecember 18, 2022 20:11:59 UTC 2022 年 12 月 19 日 (月) 5 時 11 分 59 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:56:50 UTC 2023 年 1 月 8 日 (日) 8 時 56 分 50 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:03 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 3 秒 (日本時間)

67×10209-229

c176

name 名前Dmitry Domanov
date 日付December 18, 2022 21:01:58 UTC 2022 年 12 月 19 日 (月) 6 時 1 分 58 秒 (日本時間)
composite number 合成数
35779403530222050310732145858881018053248709426232468823672585824054561733897031055255111242710525804674652537055254007898698918929033432146285196699400543422107307631064227371<176>
prime factors 素因数
33836546421162049966395600418987075747877<41>
composite cofactor 合成数の残り
1057418895086908125395804840143566512211321739158883507603649109175573965161642877260792305651146653825255397998258184589595046392900623<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1043787211
Step 1 took 9286ms
Step 2 took 4486ms
********** Factor found in step 2: 33836546421162049966395600418987075747877
Found prime factor of 41 digits: 33836546421162049966395600418987075747877
Composite cofactor 1057418895086908125395804840143566512211321739158883507603649109175573965161642877260792305651146653825255397998258184589595046392900623 has 136 digits

c136

name 名前Ignacio Santos
date 日付December 20, 2022 14:29:36 UTC 2022 年 12 月 20 日 (火) 23 時 29 分 36 秒 (日本時間)
composite number 合成数
1057418895086908125395804840143566512211321739158883507603649109175573965161642877260792305651146653825255397998258184589595046392900623<136>
prime factors 素因数
2835882393437759505605534274199009837<37>
composite cofactor 合成数の残り
372871208458354503252680360042566432372089376500845507503563336414687179285084080278979278616465579<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3092099383
Step 1 took 3500ms
********** Factor found in step 2: 2835882393437759505605534274199009837
Found prime factor of 37 digits: 2835882393437759505605534274199009837
Composite cofactor 372871208458354503252680360042566432372089376500845507503563336414687179285084080278979278616465579 has 99 digits
software ソフトウェア
GMP-ECM

c99

name 名前Ignacio Santos
date 日付December 24, 2022 17:04:16 UTC 2022 年 12 月 25 日 (日) 2 時 4 分 16 秒 (日本時間)
composite number 合成数
372871208458354503252680360042566432372089376500845507503563336414687179285084080278979278616465579<99>
prime factors 素因数
249284821130405505591122181478253140821077<42>
1495763788455048653661537687264716373642421509510652854527<58>
factorization results 素因数分解の結果
12/24/22 18:01:21, starting SIQS on c99: 372871208458354503252680360042566432372089376500845507503563336414687179285084080278979278616465579
12/24/22 18:01:21, random seed: 2577808716470758665
12/24/22 18:01:21, ==== sieve params ====
12/24/22 18:01:21, n = 101 digits, 335 bits
12/24/22 18:01:21, factor base: 112368 primes (max prime = 3103679)
12/24/22 18:01:21, single large prime cutoff: 450033455 (145 * pmax)
12/24/22 18:01:21, double large prime range from 9632823335041 to 10197715223951708
12/24/22 18:01:21, DLP MFB = 1.85
12/24/22 18:01:21, allocating 8 large prime slices of factor base
12/24/22 18:01:21, buckets hold 2048 elements
12/24/22 18:01:21, large prime hashtables have 1441792 bytes
12/24/22 18:01:21, using AVX2 enabled 32k sieve core
12/24/22 18:01:21, sieve interval: 11 blocks of size 32768
12/24/22 18:01:21, polynomial A has ~ 13 factors
12/24/22 18:01:21, using multiplier of 139
12/24/22 18:01:21, using multiplier of 139
12/24/22 18:01:21, using Q2(x) polynomials for kN mod 8 = 1
12/24/22 18:01:21, using SPV correction of 21 bits, starting at offset 37
12/24/22 18:01:21, trial factoring cutoff at 99 bits
12/24/22 18:01:21, ==== sieving started (46 threads) ====
12/24/22 18:03:33, trial division touched 206728675 sieve locations out of 2065555914752
12/24/22 18:03:33, total reports = 206728675, total surviving reports = 56721523
12/24/22 18:03:33, total blocks sieved = 63036754, avg surviving reports per block = 0.90
12/24/22 18:03:33, dlp-ecm: 2 failures, 1866217 attempts, 46564448 outside range, 7849730 prp, 1489369 useful
12/24/22 18:03:33, 115667 relations found: 29598 full + 86069 from 1900899 partial, using 2865262 polys (1569 A polys)
12/24/22 18:03:33, on average, sieving found 0.67 rels/poly and 14680.25 rels/sec
12/24/22 18:03:33, trial division touched 206728675 sieve locations out of 2065555914752
12/24/22 18:03:33, ==== post processing stage (msieve-1.38) ====
12/24/22 18:03:33, QS elapsed time = 131.5055 seconds.
12/24/22 18:03:33, begin singleton removal with 1930497 relations
12/24/22 18:03:34, reduce to 299053 relations in 13 passes
12/24/22 18:03:34, failed to read relation 78700
12/24/22 18:03:34, failed to read relation 84968
12/24/22 18:03:35, failed to read relation 130135
12/24/22 18:03:35, failed to read relation 211321
12/24/22 18:03:36, recovered 299049 relations
12/24/22 18:03:36, recovered 283874 polynomials
12/24/22 18:03:36, attempting to build 115663 cycles
12/24/22 18:03:36, found 115663 cycles from 299049 relations in 8 passes
12/24/22 18:03:36, distribution of cycle lengths:
12/24/22 18:03:36,    length 1 : 29596
12/24/22 18:03:36,    length 2 : 20533
12/24/22 18:03:36,    length 3 : 19356
12/24/22 18:03:36,    length 4 : 15547
12/24/22 18:03:36,    length 5 : 11388
12/24/22 18:03:36,    length 6 : 7591
12/24/22 18:03:36,    length 7 : 4850
12/24/22 18:03:36,    length 9+: 6802
12/24/22 18:03:36, largest cycle: 28 relations
12/24/22 18:03:36, matrix is 112368 x 115663 (35.1 MB) with weight 8270938 (71.51/col)
12/24/22 18:03:36, sparse part has weight 8270938 (71.51/col)
12/24/22 18:03:37, filtering completed in 4 passes
12/24/22 18:03:37, matrix is 105243 x 105306 (31.1 MB) with weight 7299989 (69.32/col)
12/24/22 18:03:37, sparse part has weight 7299989 (69.32/col)
12/24/22 18:03:37, saving the first 48 matrix rows for later
12/24/22 18:03:37, matrix is 105195 x 105306 (26.4 MB) with weight 6418614 (60.95/col)
12/24/22 18:03:37, sparse part has weight 5856913 (55.62/col)
12/24/22 18:03:37, matrix includes 64 packed rows
12/24/22 18:03:37, using block size 42122 for processor cache size 131072 kB
12/24/22 18:03:38, commencing Lanczos iteration
12/24/22 18:03:38, memory use: 20.5 MB
12/24/22 18:03:56, lanczos halted after 1664 iterations (dim = 105191)
12/24/22 18:03:56, recovered 14 nontrivial dependencies
12/24/22 18:03:57, prp58 = 1495763788455048653661537687264716373642421509510652854527
12/24/22 18:03:57, prp42 = 249284821130405505591122181478253140821077
12/24/22 18:03:57, Lanczos elapsed time = 23.8410 seconds.
12/24/22 18:03:57, Sqrt elapsed time = 0.2450 seconds.
12/24/22 18:03:57, SIQS elapsed time = 155.5919 seconds.
12/24/22 18:03:57, 
12/24/22 18:03:57, 
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)
403e61000 / 2078Dmitry DomanovDecember 18, 2022 20:12:08 UTC 2022 年 12 月 19 日 (月) 5 時 12 分 8 秒 (日本時間)

67×10210-229

c208

composite cofactor 合成数の残り
1494268254605468575761630759623533609884472991658860787724697800972389491056692983629956733128150229715866006512333288728310807796957937463758419198001694990855970382265043043846737142602257014139792140595031<208>

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 DomanovDecember 18, 2022 10:19:28 UTC 2022 年 12 月 18 日 (日) 19 時 19 分 28 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovJanuary 18, 2023 13:44:21 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 21 秒 (日本時間)
1000Dmitry DomanovMay 11, 2023 19:13:51 UTC 2023 年 5 月 12 日 (金) 4 時 13 分 51 秒 (日本時間)

67×10211-229

c177

composite cofactor 合成数の残り
215150356615634190559529483911787672491681747446490618411484005679787770176760570521768457713324443488659880344316982369319134964297375508242272438508206878775846663892707800447<177>

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)
403e61000Dmitry DomanovDecember 18, 2022 20:12:17 UTC 2022 年 12 月 19 日 (月) 5 時 12 分 17 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:56:59 UTC 2023 年 1 月 8 日 (日) 8 時 56 分 59 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:10 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 10 秒 (日本時間)

67×10212-229

c202

composite cofactor 合成数の残り
1995650757206349388919677651458382018585459841072992191400862591989054544559701958779341558677856710705562988773117347222856757177510718783470425962957097566871112534098171747878639349246615449890208929<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)
403e61792Dmitry DomanovDecember 18, 2022 10:19:37 UTC 2022 年 12 月 18 日 (日) 19 時 19 分 37 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:44:28 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 28 秒 (日本時間)

67×10213-229

c192

composite cofactor 合成数の残り
189005064902680980657636105254564768442950865789064767997218685050402749714791214631996880427830747249946047973569979911896796129363711438285862067075722332034310861157925290723984676447153353<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)
403e61000Dmitry DomanovDecember 19, 2022 12:11:29 UTC 2022 年 12 月 19 日 (月) 21 時 11 分 29 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:57:09 UTC 2023 年 1 月 8 日 (日) 8 時 57 分 9 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:16 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 16 秒 (日本時間)

67×10215-229

c206

composite cofactor 合成数の残り
10389507100566442050109111867833602370204306109844780409216663597029884116163484092789415403952802627567635761648488279869339528066360255558843710809203248613359029953198464866699973319377015776941785481067<206>

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 DomanovDecember 18, 2022 10:19:45 UTC 2022 年 12 月 18 日 (日) 19 時 19 分 45 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovJanuary 18, 2023 13:44:36 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 36 秒 (日本時間)
1000Dmitry DomanovMay 11, 2023 19:13:43 UTC 2023 年 5 月 12 日 (金) 4 時 13 分 43 秒 (日本時間)

67×10217-229

c180

composite cofactor 合成数の残り
192200413699638822620395200886131692146431982194426118152218505674438643581216185862622710795864636752189134914238876718178541534481120356468760130113688598198106789254973373219893<180>

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)
403e61000Dmitry DomanovDecember 18, 2022 20:12:24 UTC 2022 年 12 月 19 日 (月) 5 時 12 分 24 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:57:18 UTC 2023 年 1 月 8 日 (日) 8 時 57 分 18 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:24 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 24 秒 (日本時間)

67×10218-229

c202

composite cofactor 合成数の残り
3942793419075481272340323135292245675855890680774732499715021544374446005334754698894243453756133256916804932727214383569963487995515334737456709118492801032952246747517537746862822130301415951313207139<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)
403e61792Dmitry DomanovDecember 18, 2022 10:19:55 UTC 2022 年 12 月 18 日 (日) 19 時 19 分 55 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:44:43 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 43 秒 (日本時間)

67×10220-229

c196

composite cofactor 合成数の残り
1061684124585040843947199729005518311648668147664930732004752784513925620861848778978703732248573210959215104566045286244993216431087574931413258040630735870779388558733477403832248936041959592831<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)
403e61000Dmitry DomanovDecember 19, 2022 12:11:37 UTC 2022 年 12 月 19 日 (月) 21 時 11 分 37 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:57:26 UTC 2023 年 1 月 8 日 (日) 8 時 57 分 26 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:34 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 34 秒 (日本時間)

67×10221-229

c146

name 名前Ignacio Santos
date 日付November 26, 2022 10:42:29 UTC 2022 年 11 月 26 日 (土) 19 時 42 分 29 秒 (日本時間)
composite number 合成数
82263074563527896110828779787327560572771846490773338612539036343744432255903671709346730835312801090656689071320076468914888142894009447277957339<146>
prime factors 素因数
41127885229751129091840704297696887<35>
2000177594933093089779555742028736026703503077022380140484514077151435385791606272892806863213011536173620503997<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1398428305
Step 1 took 5687ms
Step 2 took 2766ms
********** Factor found in step 2: 41127885229751129091840704297696887
Found prime factor of 35 digits: 41127885229751129091840704297696887
Prime cofactor 2000177594933093089779555742028736026703503077022380140484514077151435385791606272892806863213011536173620503997 has 112 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)

67×10223-229

c181

name 名前Dmitry Domanov
date 日付January 10, 2023 18:06:27 UTC 2023 年 1 月 11 日 (水) 3 時 6 分 27 秒 (日本時間)
composite number 合成数
2911891406929176240029726399485937995566832186863833203168041607306370640970769748701064539843079558245395569532924337681988660943928489236089575654589583207095396575191558373855167<181>
prime factors 素因数
31379759128199788645441346130651370183<38>
92795212194996451353316639609006750319944558073573937595291502394429185350711436863526755358066782794275826658608593414784543192462211175621449<143>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3670610179
Step 1 took 31347ms
Step 2 took 13755ms
********** Factor found in step 2: 31379759128199788645441346130651370183
Found prime factor of 38 digits: 31379759128199788645441346130651370183
Prime cofactor 92795212194996451353316639609006750319944558073573937595291502394429185350711436863526755358066782794275826658608593414784543192462211175621449 has 143 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)
403e61000Dmitry DomanovDecember 19, 2022 12:11:44 UTC 2022 年 12 月 19 日 (月) 21 時 11 分 44 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 7, 2023 23:57:35 UTC 2023 年 1 月 8 日 (日) 8 時 57 分 35 秒 (日本時間)

67×10225-229

c184

composite cofactor 合成数の残り
2251276086242869050149279645289030937557266988387858564575628208668094696312768455148276480547551730581692686836447686582476012645365827515037951793867501415961284485032872181219694771<184>

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)
403e61000Dmitry DomanovDecember 19, 2022 12:11:52 UTC 2022 年 12 月 19 日 (月) 21 時 11 分 52 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:58:01 UTC 2023 年 1 月 8 日 (日) 8 時 58 分 1 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:43 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 43 秒 (日本時間)

67×10227-229

c191

composite cofactor 合成数の残り
23912543670938143002777330842547757419130594478506239981393800494407275737330782533514924506580157005342562441508013870072623082628129490564770049997886452924079200387910243407127835940392893<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)
403e61000Dmitry DomanovDecember 19, 2022 12:11:58 UTC 2022 年 12 月 19 日 (月) 21 時 11 分 58 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:58:10 UTC 2023 年 1 月 8 日 (日) 8 時 58 分 10 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:21:52 UTC 2023 年 4 月 29 日 (土) 18 時 21 分 52 秒 (日本時間)

67×10228-229

c224

composite cofactor 合成数の残り
10635011792164567759787147381898194048012475027563728324020555096821464818904796961751735649797633186062229739746975608997283468778938740109835862085167079209885291080272751544219585374223842553571094101441504419244228442593<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)
403e61792Dmitry DomanovDecember 18, 2022 10:20:04 UTC 2022 年 12 月 18 日 (日) 19 時 20 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:37:24 UTC 2023 年 3 月 3 日 (金) 16 時 37 分 24 秒 (日本時間)

67×10230-229

c223

composite cofactor 合成数の残り
2739010134933540564060251521796279410230679850547735268724762643084571044796045533922600049211100121630119281790105893966430719585163359008184774676790692405973966212318275538449349834991277834805195209542570026242390693601<223>

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 DomanovDecember 18, 2022 10:20:15 UTC 2022 年 12 月 18 日 (日) 19 時 20 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:37:38 UTC 2023 年 3 月 3 日 (金) 16 時 37 分 38 秒 (日本時間)

67×10231-229

c216

composite cofactor 合成数の残り
435515790761294540601041434383611775504499365372822955547464483063147795922517801069396766653761503897366416915000825763589486234475942391627927533698493043139618806644972917581367985706671526933665055253911707901529<216>

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 DomanovDecember 18, 2022 10:20:25 UTC 2022 年 12 月 18 日 (日) 19 時 20 分 25 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:44:52 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 52 秒 (日本時間)

67×10232-229

c222

composite cofactor 合成数の残り
497794039029431203039220838020191426891447235854672733126256523899994861969195349058425883871642834325905567813401879196740054398760303820167025577753575073504023252476936011994512584540817817166977473379062989049742039469<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)
403e61792Dmitry DomanovDecember 18, 2022 10:20:32 UTC 2022 年 12 月 18 日 (日) 19 時 20 分 32 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:37:46 UTC 2023 年 3 月 3 日 (金) 16 時 37 分 46 秒 (日本時間)

67×10233-229

c197

composite cofactor 合成数の残り
62307262321975631240438090898827463171337298044222560561425075959620600691634939228900116034674726877204789758343611877431750313893012007522534345183594622060531089697496546841423149538551606844351<197>

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)
403e61000Dmitry DomanovDecember 19, 2022 12:12:05 UTC 2022 年 12 月 19 日 (月) 21 時 12 分 5 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:59:26 UTC 2023 年 1 月 8 日 (日) 8 時 59 分 26 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:22:01 UTC 2023 年 4 月 29 日 (土) 18 時 22 分 1 秒 (日本時間)

67×10234-229

c230

composite cofactor 合成数の残り
29312760150746337873748629519086981896964335558478081492973250137594971155369003899909611697803818008884828852856069097613241317516692960650025768978699685959712892451920510794533301483050662074625912304971706623896287079547830987<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)
403e61792Dmitry DomanovDecember 18, 2022 10:21:02 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 2 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:38:40 UTC 2023 年 3 月 3 日 (金) 16 時 38 分 40 秒 (日本時間)

67×10235-229

c221

composite cofactor 合成数の残り
91937627830383739794158046281791058168697247330967795524113892570378914679440419908830539878096210033345780096475721640928400170584227102926314122570450213699664585461958706241079586889958596310253749079194000759658414839<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)
403e61792Dmitry DomanovDecember 18, 2022 10:21:11 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:37:53 UTC 2023 年 3 月 3 日 (金) 16 時 37 分 53 秒 (日本時間)

67×10236-229

c157

composite cofactor 合成数の残り
3172999774028250204120455072105892000121378222388562489138427283854834970501938578896816652960452613048365048496020587603026647048734289024093267226312399359<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 14:12:15 UTC 2022 年 11 月 27 日 (日) 23 時 12 分 15 秒 (日本時間)
4511e64480Ignacio SantosDecember 1, 2022 10:37:12 UTC 2022 年 12 月 1 日 (木) 19 時 37 分 12 秒 (日本時間)

67×10237-229

c238

composite cofactor 合成数の残り
3722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<238>

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)
403e641421792Dmitry DomanovDecember 18, 2022 10:21:21 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 21 秒 (日本時間)
2350Ignacio SantosMarch 23, 2024 17:57:01 UTC 2024 年 3 月 24 日 (日) 2 時 57 分 1 秒 (日本時間)

67×10238-229

c204

composite cofactor 合成数の残り
573636107950248312641736620349819174039059679839835200043607148704677458289573413990576834434033884887617768688955019241085937747308982248390448037162771321908948498691306971006858846943842341415486491521<204>

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 DomanovDecember 18, 2022 10:21:29 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 29 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:44:59 UTC 2023 年 1 月 18 日 (水) 22 時 44 分 59 秒 (日本時間)

67×10240-229

c182

composite cofactor 合成数の残り
25835562346810166749591848737109979513007732868237343393181380372245407077679921665144889281614399329992205699396172606174108966038527702170354925548712106977046235274728690940581401<182>

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)
403e61000Dmitry DomanovDecember 19, 2022 12:12:46 UTC 2022 年 12 月 19 日 (月) 21 時 12 分 46 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 7, 2023 23:59:42 UTC 2023 年 1 月 8 日 (日) 8 時 59 分 42 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:22:15 UTC 2023 年 4 月 29 日 (土) 18 時 22 分 15 秒 (日本時間)

67×10241-229

c204

composite cofactor 合成数の残り
582446823374271806262402189860328389395527058514918058933163986883382223558654317964924179507372137049744290723880744377785674351852468209519604366809485011277471137056816804338852040359215764972913567213<204>

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 DomanovDecember 18, 2022 10:21:38 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 38 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:45:11 UTC 2023 年 1 月 18 日 (水) 22 時 45 分 11 秒 (日本時間)

67×10242-229

c184

name 名前Dmitry Domanov
date 日付January 11, 2023 09:53:37 UTC 2023 年 1 月 11 日 (水) 18 時 53 分 37 秒 (日本時間)
composite number 合成数
2747090318605458785222545149409657208851673447878151945428417416209617360675417006896110422027431378670895297685724856769979733284985573317030993267746521369958781432440689121948102871<184>
prime factors 素因数
1599049395278464013140254870984106880311<40>
1717952132508746510623770120471937965717601510621021669013159807392711359241780777427328079995329796274442558922578164616558191171014936390084961<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=273602905
Step 1 took 41556ms
Step 2 took 14520ms
********** Factor found in step 2: 1599049395278464013140254870984106880311
Found probable prime factor of 40 digits: 1599049395278464013140254870984106880311
Probable prime cofactor 1717952132508746510623770120471937965717601510621021669013159807392711359241780777427328079995329796274442558922578164616558191171014936390084961 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 19, 2022 12:13:00 UTC 2022 年 12 月 19 日 (月) 21 時 13 分 0 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 7, 2023 23:59:53 UTC 2023 年 1 月 8 日 (日) 8 時 59 分 53 秒 (日本時間)

67×10247-229

c229

composite cofactor 合成数の残り
4813790102676612657976640261186980271707143075771154838416648173542988983248884030948554709083474776768183261905418158724657125160433682101134775154599506371835735447524143408064890514425120462350077068526583045964438638985385059<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)
403e61792Dmitry DomanovDecember 18, 2022 10:21:48 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 48 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:38:01 UTC 2023 年 3 月 3 日 (金) 16 時 38 分 1 秒 (日本時間)

67×10249-229

c183

composite cofactor 合成数の残り
342151805918244313534545850692678323148829473686309157213242541421621890513051286695762244522336628192220006789018869945333453443602141689125137313470543162639313713026144776618442693<183>

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)
403e61000Dmitry DomanovDecember 19, 2022 12:13:12 UTC 2022 年 12 月 19 日 (月) 21 時 13 分 12 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 8, 2023 00:00:02 UTC 2023 年 1 月 8 日 (日) 9 時 0 分 2 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:22:24 UTC 2023 年 4 月 29 日 (土) 18 時 22 分 24 秒 (日本時間)

67×10250-229

c231

name 名前Dmitry Domanov
date 日付December 18, 2022 12:37:12 UTC 2022 年 12 月 18 日 (日) 21 時 37 分 12 秒 (日本時間)
composite number 合成数
817629835599533418649565731274532432733818685224808194271999051461832922516012710123805670457120240238201792665967704927667000474688677684214120095763501117460536741883291110219236160285305215806256892011941271605821442728280318607<231>
prime factors 素因数
41491566622813392220514973377849047<35>
composite cofactor 合成数の残り
19705928268082660151965982152211676907520332724615361707652658892501919652558809974708384505069197121191964325789866923273042052603140646148737440799641050615562414040351455727023007945960292041481<197>
factorization results 素因数分解の結果
GPU: factor 41491566622813392220514973377849047 found in Step 1 with curve 1056 (-sigma 3:624524073)
Computing 1792 Step 1 took 274ms of CPU time / 267489ms of GPU time
Throughput: 6.699 curves per second (on average 149.27ms per Step 1)
********** Factor found in step 1: 41491566622813392220514973377849047
Found prime factor of 35 digits: 41491566622813392220514973377849047
Composite cofactor 19705928268082660151965982152211676907520332724615361707652658892501919652558809974708384505069197121191964325789866923273042052603140646148737440799641050615562414040351455727023007945960292041481 has 197 digits
Peak memory usage: 9428MB

c197

name 名前Dmitry Domanov
date 日付December 19, 2022 17:23:26 UTC 2022 年 12 月 20 日 (火) 2 時 23 分 26 秒 (日本時間)
composite number 合成数
19705928268082660151965982152211676907520332724615361707652658892501919652558809974708384505069197121191964325789866923273042052603140646148737440799641050615562414040351455727023007945960292041481<197>
prime factors 素因数
266662839988162278369225497167416617<36>
20649568196738771594758411349618911026359<41>
composite cofactor 合成数の残り
3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327<121>
factorization results 素因数分解の結果
Resuming ECM residue saved by @96e7f219eb1c with GMP-ECM 7.0.5-dev on Sun Dec 18 12:10:05 2022 
Input number is 19705928268082660151965982152211676907520332724615361707652658892501919652558809974708384505069197121191964325789866923273042052603140646148737440799641050615562414040351455727023007945960292041481 (197 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:624523216
Step 1 took 0ms
Step 2 took 3758ms
********** Factor found in step 2: 266662839988162278369225497167416617
Found prime factor of 36 digits: 266662839988162278369225497167416617
Composite cofactor 73898291449072722525305546131372686976741415234534320497077926859643880233221566032276378462890468855044668153458841477951222086455096641466738427888281149383393 has 161 digits
--
Resuming ECM residue saved by @96e7f219eb1c with GMP-ECM 7.0.5-dev on Sun Dec 18 12:10:05 2022 
Input number is 73898291449072722525305546131372686976741415234534320497077926859643880233221566032276378462890468855044668153458841477951222086455096641466738427888281149383393 (161 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:624524777
Step 1 took 0ms
Step 2 took 2845ms
********** Factor found in step 2: 20649568196738771594758411349618911026359
Found prime factor of 41 digits: 20649568196738771594758411349618911026359
Composite cofactor 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 has 121 digits

c121

name 名前Ignacio Santos
date 日付December 31, 2022 12:20:49 UTC 2022 年 12 月 31 日 (土) 21 時 20 分 49 秒 (日本時間)
composite number 合成数
3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327<121>
prime factors 素因数
890596905087669502071918634852670513739617171<45>
4018298926587588056122111050660160568642666319253782542040568116611882491037<76>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2200000, q1=2300000.
->               client 1 q0: 2200000
      LatSieveTime: 79
        LatSieveTime: 81
        LatSieveTime: 83
        LatSieveTime: 87
        LatSieveTime: 87
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 117
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 123
-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 86
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 125
-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 82
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 125
-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 85
        LatSieveTime: 86
        LatSieveTime: 87
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 124
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 86
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 121
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 79
        LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 89
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 124
        LatSieveTime: 126
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 86
        LatSieveTime: 91
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 88
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 127
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 84
        LatSieveTime: 88
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 126
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 131
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 85
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 85
        LatSieveTime: 87
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 127
        LatSieveTime: 127
-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 88
        LatSieveTime: 90
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 128
-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 87
        LatSieveTime: 92
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 130
-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 90
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 129
        LatSieveTime: 131
-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 91
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 128
        LatSieveTime: 134
-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 93
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 133
        LatSieveTime: 138
-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
      LatSieveTime: 90
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 131
-> makeJobFile(): Adjusted to q0=4300001, q1=4400000.
->               client 1 q0: 4300001
      LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 129
-> makeJobFile(): Adjusted to q0=4400001, q1=4500000.
->               client 1 q0: 4400001
      LatSieveTime: 84
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 129
        LatSieveTime: 129
Sat Dec 31 12:46:26 2022  
Sat Dec 31 12:46:26 2022  
Sat Dec 31 12:46:26 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 12:46:26 2022  random seeds: 0479ed68 531cc544
Sat Dec 31 12:46:26 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 12:46:27 2022  searching for 15-digit factors
Sat Dec 31 12:46:27 2022  commencing number field sieve (121-digit input)
Sat Dec 31 12:46:27 2022  R0: -195285661002133392742437
Sat Dec 31 12:46:27 2022  R1: 2043163300079
Sat Dec 31 12:46:27 2022  A0: 2900294841922295098884357789440
Sat Dec 31 12:46:27 2022  A1: -3641839874546750873411592
Sat Dec 31 12:46:27 2022  A2: -310632452693388463246
Sat Dec 31 12:46:27 2022  A3: -368904592032225
Sat Dec 31 12:46:27 2022  A4: 3043505258
Sat Dec 31 12:46:27 2022  A5: 12600
Sat Dec 31 12:46:27 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 12:46:27 2022  
Sat Dec 31 12:46:27 2022  commencing relation filtering
Sat Dec 31 12:46:27 2022  estimated available RAM is 65413.5 MB
Sat Dec 31 12:46:27 2022  commencing duplicate removal, pass 1
Sat Dec 31 12:46:46 2022  found 970216 hash collisions in 9174536 relations
Sat Dec 31 12:46:56 2022  added 62536 free relations
Sat Dec 31 12:46:56 2022  commencing duplicate removal, pass 2
Sat Dec 31 12:46:59 2022  found 787122 duplicates and 8449950 unique relations
Sat Dec 31 12:46:59 2022  memory use: 34.6 MB
Sat Dec 31 12:46:59 2022  reading ideals above 100000
Sat Dec 31 12:46:59 2022  commencing singleton removal, initial pass
Sat Dec 31 12:47:32 2022  memory use: 188.3 MB
Sat Dec 31 12:47:32 2022  reading all ideals from disk
Sat Dec 31 12:47:32 2022  memory use: 303.6 MB
Sat Dec 31 12:47:32 2022  keeping 10150819 ideals with weight <= 200, target excess is 45189
Sat Dec 31 12:47:33 2022  commencing in-memory singleton removal
Sat Dec 31 12:47:33 2022  begin with 8449950 relations and 10150819 unique ideals
Sat Dec 31 12:47:38 2022  reduce to 1555301 relations and 1831746 ideals in 43 passes
Sat Dec 31 12:47:38 2022  max relations containing the same ideal: 63
Sat Dec 31 12:47:38 2022  filtering wants 1000000 more relations
Sat Dec 31 12:47:38 2022  elapsed time 00:01:12
-> makeJobFile(): Adjusted to q0=4500001, q1=4600000.
->               client 1 q0: 4500001
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 129
Sat Dec 31 12:49:51 2022  
Sat Dec 31 12:49:51 2022  
Sat Dec 31 12:49:51 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 12:49:51 2022  random seeds: a13d5064 f0729bd6
Sat Dec 31 12:49:51 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 12:49:51 2022  searching for 15-digit factors
Sat Dec 31 12:49:52 2022  commencing number field sieve (121-digit input)
Sat Dec 31 12:49:52 2022  R0: -195285661002133392742437
Sat Dec 31 12:49:52 2022  R1: 2043163300079
Sat Dec 31 12:49:52 2022  A0: 2900294841922295098884357789440
Sat Dec 31 12:49:52 2022  A1: -3641839874546750873411592
Sat Dec 31 12:49:52 2022  A2: -310632452693388463246
Sat Dec 31 12:49:52 2022  A3: -368904592032225
Sat Dec 31 12:49:52 2022  A4: 3043505258
Sat Dec 31 12:49:52 2022  A5: 12600
Sat Dec 31 12:49:52 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 12:49:52 2022  
Sat Dec 31 12:49:52 2022  commencing relation filtering
Sat Dec 31 12:49:52 2022  estimated available RAM is 65413.5 MB
Sat Dec 31 12:49:52 2022  commencing duplicate removal, pass 1
Sat Dec 31 12:50:12 2022  found 1044573 hash collisions in 9631170 relations
Sat Dec 31 12:50:22 2022  added 117 free relations
Sat Dec 31 12:50:22 2022  commencing duplicate removal, pass 2
Sat Dec 31 12:50:25 2022  found 845245 duplicates and 8786042 unique relations
Sat Dec 31 12:50:25 2022  memory use: 49.3 MB
Sat Dec 31 12:50:25 2022  reading ideals above 100000
Sat Dec 31 12:50:25 2022  commencing singleton removal, initial pass
Sat Dec 31 12:50:59 2022  memory use: 344.5 MB
Sat Dec 31 12:50:59 2022  reading all ideals from disk
Sat Dec 31 12:50:59 2022  memory use: 315.9 MB
Sat Dec 31 12:51:00 2022  keeping 10317582 ideals with weight <= 200, target excess is 46977
Sat Dec 31 12:51:00 2022  commencing in-memory singleton removal
Sat Dec 31 12:51:00 2022  begin with 8786042 relations and 10317582 unique ideals
Sat Dec 31 12:51:05 2022  reduce to 2133680 relations and 2341170 ideals in 33 passes
Sat Dec 31 12:51:05 2022  max relations containing the same ideal: 77
Sat Dec 31 12:51:05 2022  filtering wants 1000000 more relations
Sat Dec 31 12:51:05 2022  elapsed time 00:01:14
-> makeJobFile(): Adjusted to q0=4600001, q1=4700000.
->               client 1 q0: 4600001
 LatSieveTime: 83
        LatSieveTime: 87
        LatSieveTime: 87
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 126
        LatSieveTime: 134
Sat Dec 31 12:53:23 2022  
Sat Dec 31 12:53:23 2022  
Sat Dec 31 12:53:23 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 12:53:23 2022  random seeds: 40ac8074 443c3281
Sat Dec 31 12:53:23 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 12:53:24 2022  searching for 15-digit factors
Sat Dec 31 12:53:24 2022  commencing number field sieve (121-digit input)
Sat Dec 31 12:53:24 2022  R0: -195285661002133392742437
Sat Dec 31 12:53:24 2022  R1: 2043163300079
Sat Dec 31 12:53:24 2022  A0: 2900294841922295098884357789440
Sat Dec 31 12:53:24 2022  A1: -3641839874546750873411592
Sat Dec 31 12:53:24 2022  A2: -310632452693388463246
Sat Dec 31 12:53:24 2022  A3: -368904592032225
Sat Dec 31 12:53:24 2022  A4: 3043505258
Sat Dec 31 12:53:24 2022  A5: 12600
Sat Dec 31 12:53:24 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 12:53:24 2022  
Sat Dec 31 12:53:24 2022  commencing relation filtering
Sat Dec 31 12:53:24 2022  estimated available RAM is 65413.5 MB
Sat Dec 31 12:53:24 2022  commencing duplicate removal, pass 1
Sat Dec 31 12:53:45 2022  found 1115818 hash collisions in 10019318 relations
Sat Dec 31 12:53:55 2022  added 111 free relations
Sat Dec 31 12:53:55 2022  commencing duplicate removal, pass 2
Sat Dec 31 12:53:58 2022  found 903774 duplicates and 9115655 unique relations
Sat Dec 31 12:53:58 2022  memory use: 49.3 MB
Sat Dec 31 12:53:58 2022  reading ideals above 100000
Sat Dec 31 12:53:58 2022  commencing singleton removal, initial pass
Sat Dec 31 12:54:33 2022  memory use: 344.5 MB
Sat Dec 31 12:54:33 2022  reading all ideals from disk
Sat Dec 31 12:54:34 2022  memory use: 327.8 MB
Sat Dec 31 12:54:34 2022  keeping 10474360 ideals with weight <= 200, target excess is 48787
Sat Dec 31 12:54:35 2022  commencing in-memory singleton removal
Sat Dec 31 12:54:35 2022  begin with 9115655 relations and 10474360 unique ideals
Sat Dec 31 12:54:40 2022  reduce to 2636802 relations and 2759617 ideals in 26 passes
Sat Dec 31 12:54:40 2022  max relations containing the same ideal: 87
Sat Dec 31 12:54:40 2022  filtering wants 1000000 more relations
Sat Dec 31 12:54:40 2022  elapsed time 00:01:17
-> makeJobFile(): Adjusted to q0=4700001, q1=4800000.
->               client 1 q0: 4700001
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 122
Sat Dec 31 12:56:46 2022  
Sat Dec 31 12:56:46 2022  
Sat Dec 31 12:56:46 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 12:56:46 2022  random seeds: f8686670 b0fc480b
Sat Dec 31 12:56:46 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 12:56:47 2022  searching for 15-digit factors
Sat Dec 31 12:56:47 2022  commencing number field sieve (121-digit input)
Sat Dec 31 12:56:47 2022  R0: -195285661002133392742437
Sat Dec 31 12:56:47 2022  R1: 2043163300079
Sat Dec 31 12:56:47 2022  A0: 2900294841922295098884357789440
Sat Dec 31 12:56:47 2022  A1: -3641839874546750873411592
Sat Dec 31 12:56:47 2022  A2: -310632452693388463246
Sat Dec 31 12:56:47 2022  A3: -368904592032225
Sat Dec 31 12:56:47 2022  A4: 3043505258
Sat Dec 31 12:56:47 2022  A5: 12600
Sat Dec 31 12:56:47 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 12:56:47 2022  
Sat Dec 31 12:56:47 2022  commencing relation filtering
Sat Dec 31 12:56:47 2022  estimated available RAM is 65413.5 MB
Sat Dec 31 12:56:47 2022  commencing duplicate removal, pass 1
Sat Dec 31 12:57:09 2022  found 1188440 hash collisions in 10405000 relations
Sat Dec 31 12:57:19 2022  added 108 free relations
Sat Dec 31 12:57:19 2022  commencing duplicate removal, pass 2
Sat Dec 31 12:57:23 2022  found 963496 duplicates and 9441612 unique relations
Sat Dec 31 12:57:23 2022  memory use: 49.3 MB
Sat Dec 31 12:57:23 2022  reading ideals above 100000
Sat Dec 31 12:57:23 2022  commencing singleton removal, initial pass
Sat Dec 31 12:57:59 2022  memory use: 344.5 MB
Sat Dec 31 12:57:59 2022  reading all ideals from disk
Sat Dec 31 12:57:59 2022  memory use: 339.7 MB
Sat Dec 31 12:57:59 2022  keeping 10623146 ideals with weight <= 200, target excess is 50577
Sat Dec 31 12:58:00 2022  commencing in-memory singleton removal
Sat Dec 31 12:58:00 2022  begin with 9441612 relations and 10623146 unique ideals
Sat Dec 31 12:58:05 2022  reduce to 3107719 relations and 3132624 ideals in 22 passes
Sat Dec 31 12:58:05 2022  max relations containing the same ideal: 98
Sat Dec 31 12:58:05 2022  filtering wants 1000000 more relations
Sat Dec 31 12:58:05 2022  elapsed time 00:01:19
-> makeJobFile(): Adjusted to q0=4800001, q1=4900000.
->               client 1 q0: 4800001
        LatSieveTime: 84
        LatSieveTime: 87
        LatSieveTime: 92
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 125
        LatSieveTime: 128
        LatSieveTime: 130
Sat Dec 31 13:00:20 2022  
Sat Dec 31 13:00:20 2022  
Sat Dec 31 13:00:20 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 13:00:20 2022  random seeds: 63dfecb4 2370d55b
Sat Dec 31 13:00:20 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 13:00:20 2022  searching for 15-digit factors
Sat Dec 31 13:00:20 2022  commencing number field sieve (121-digit input)
Sat Dec 31 13:00:20 2022  R0: -195285661002133392742437
Sat Dec 31 13:00:20 2022  R1: 2043163300079
Sat Dec 31 13:00:20 2022  A0: 2900294841922295098884357789440
Sat Dec 31 13:00:20 2022  A1: -3641839874546750873411592
Sat Dec 31 13:00:20 2022  A2: -310632452693388463246
Sat Dec 31 13:00:20 2022  A3: -368904592032225
Sat Dec 31 13:00:20 2022  A4: 3043505258
Sat Dec 31 13:00:20 2022  A5: 12600
Sat Dec 31 13:00:20 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 13:00:20 2022  
Sat Dec 31 13:00:20 2022  commencing relation filtering
Sat Dec 31 13:00:20 2022  estimated available RAM is 65413.5 MB
Sat Dec 31 13:00:20 2022  commencing duplicate removal, pass 1
Sat Dec 31 13:00:43 2022  found 1263664 hash collisions in 10793773 relations
Sat Dec 31 13:00:53 2022  added 99 free relations
Sat Dec 31 13:00:53 2022  commencing duplicate removal, pass 2
Sat Dec 31 13:00:57 2022  found 1025692 duplicates and 9768180 unique relations
Sat Dec 31 13:00:57 2022  memory use: 49.3 MB
Sat Dec 31 13:00:57 2022  reading ideals above 100000
Sat Dec 31 13:00:57 2022  commencing singleton removal, initial pass
Sat Dec 31 13:01:34 2022  memory use: 344.5 MB
Sat Dec 31 13:01:34 2022  reading all ideals from disk
Sat Dec 31 13:01:35 2022  memory use: 351.6 MB
Sat Dec 31 13:01:35 2022  keeping 10765976 ideals with weight <= 200, target excess is 52424
Sat Dec 31 13:01:35 2022  commencing in-memory singleton removal
Sat Dec 31 13:01:36 2022  begin with 9768180 relations and 10765976 unique ideals
Sat Dec 31 13:01:41 2022  reduce to 3567103 relations and 3481473 ideals in 22 passes
Sat Dec 31 13:01:41 2022  max relations containing the same ideal: 103
Sat Dec 31 13:01:42 2022  removing 199625 relations and 187216 ideals in 12409 cliques
Sat Dec 31 13:01:42 2022  commencing in-memory singleton removal
Sat Dec 31 13:01:42 2022  begin with 3367478 relations and 3481473 unique ideals
Sat Dec 31 13:01:43 2022  reduce to 3357341 relations and 3284062 ideals in 9 passes
Sat Dec 31 13:01:43 2022  max relations containing the same ideal: 100
Sat Dec 31 13:01:44 2022  removing 143020 relations and 130611 ideals in 12409 cliques
Sat Dec 31 13:01:44 2022  commencing in-memory singleton removal
Sat Dec 31 13:01:44 2022  begin with 3214321 relations and 3284062 unique ideals
Sat Dec 31 13:01:44 2022  reduce to 3208822 relations and 3147923 ideals in 8 passes
Sat Dec 31 13:01:44 2022  max relations containing the same ideal: 97
Sat Dec 31 13:01:45 2022  relations with 0 large ideals: 168
Sat Dec 31 13:01:45 2022  relations with 1 large ideals: 409
Sat Dec 31 13:01:45 2022  relations with 2 large ideals: 6348
Sat Dec 31 13:01:45 2022  relations with 3 large ideals: 55434
Sat Dec 31 13:01:45 2022  relations with 4 large ideals: 250282
Sat Dec 31 13:01:45 2022  relations with 5 large ideals: 641584
Sat Dec 31 13:01:45 2022  relations with 6 large ideals: 948481
Sat Dec 31 13:01:45 2022  relations with 7+ large ideals: 1306116
Sat Dec 31 13:01:45 2022  commencing 2-way merge
Sat Dec 31 13:01:46 2022  reduce to 1778571 relation sets and 1717672 unique ideals
Sat Dec 31 13:01:46 2022  ignored 1 oversize relation sets
Sat Dec 31 13:01:46 2022  commencing full merge
Sat Dec 31 13:02:07 2022  memory use: 195.3 MB
Sat Dec 31 13:02:08 2022  found 885475 cycles, need 879872
Sat Dec 31 13:02:08 2022  weight of 879872 cycles is about 61801723 (70.24/cycle)
Sat Dec 31 13:02:08 2022  distribution of cycle lengths:
Sat Dec 31 13:02:08 2022  1 relations: 112239
Sat Dec 31 13:02:08 2022  2 relations: 109715
Sat Dec 31 13:02:08 2022  3 relations: 108560
Sat Dec 31 13:02:08 2022  4 relations: 93746
Sat Dec 31 13:02:08 2022  5 relations: 80345
Sat Dec 31 13:02:08 2022  6 relations: 67147
Sat Dec 31 13:02:08 2022  7 relations: 56431
Sat Dec 31 13:02:08 2022  8 relations: 46448
Sat Dec 31 13:02:08 2022  9 relations: 37595
Sat Dec 31 13:02:08 2022  10+ relations: 167646
Sat Dec 31 13:02:08 2022  heaviest cycle: 26 relations
Sat Dec 31 13:02:08 2022  commencing cycle optimization
Sat Dec 31 13:02:08 2022  start with 5259158 relations
Sat Dec 31 13:02:15 2022  pruned 95618 relations
Sat Dec 31 13:02:15 2022  memory use: 182.3 MB
Sat Dec 31 13:02:15 2022  distribution of cycle lengths:
Sat Dec 31 13:02:15 2022  1 relations: 112239
Sat Dec 31 13:02:15 2022  2 relations: 112072
Sat Dec 31 13:02:15 2022  3 relations: 111616
Sat Dec 31 13:02:15 2022  4 relations: 95164
Sat Dec 31 13:02:15 2022  5 relations: 81315
Sat Dec 31 13:02:15 2022  6 relations: 67332
Sat Dec 31 13:02:15 2022  7 relations: 56355
Sat Dec 31 13:02:15 2022  8 relations: 45899
Sat Dec 31 13:02:15 2022  9 relations: 37172
Sat Dec 31 13:02:15 2022  10+ relations: 160708
Sat Dec 31 13:02:15 2022  heaviest cycle: 26 relations
Sat Dec 31 13:02:15 2022  RelProcTime: 115
Sat Dec 31 13:02:15 2022  elapsed time 00:01:55
Sat Dec 31 13:02:15 2022  
Sat Dec 31 13:02:15 2022  
Sat Dec 31 13:02:15 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 13:02:15 2022  random seeds: 83715c10 45e6d35e
Sat Dec 31 13:02:15 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 13:02:16 2022  searching for 15-digit factors
Sat Dec 31 13:02:16 2022  commencing number field sieve (121-digit input)
Sat Dec 31 13:02:16 2022  R0: -195285661002133392742437
Sat Dec 31 13:02:16 2022  R1: 2043163300079
Sat Dec 31 13:02:16 2022  A0: 2900294841922295098884357789440
Sat Dec 31 13:02:16 2022  A1: -3641839874546750873411592
Sat Dec 31 13:02:16 2022  A2: -310632452693388463246
Sat Dec 31 13:02:16 2022  A3: -368904592032225
Sat Dec 31 13:02:16 2022  A4: 3043505258
Sat Dec 31 13:02:16 2022  A5: 12600
Sat Dec 31 13:02:16 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 13:02:16 2022  
Sat Dec 31 13:02:16 2022  commencing linear algebra
Sat Dec 31 13:02:16 2022  read 879872 cycles
Sat Dec 31 13:02:17 2022  cycles contain 3124136 unique relations
Sat Dec 31 13:02:24 2022  read 3124136 relations
Sat Dec 31 13:02:27 2022  using 20 quadratic characters above 134217174
Sat Dec 31 13:02:35 2022  building initial matrix
Sat Dec 31 13:02:51 2022  memory use: 388.3 MB
Sat Dec 31 13:02:51 2022  read 879872 cycles
Sat Dec 31 13:02:51 2022  matrix is 879694 x 879872 (264.5 MB) with weight 81907408 (93.09/col)
Sat Dec 31 13:02:51 2022  sparse part has weight 59660625 (67.81/col)
Sat Dec 31 13:02:55 2022  filtering completed in 2 passes
Sat Dec 31 13:02:56 2022  matrix is 878057 x 878235 (264.4 MB) with weight 81842622 (93.19/col)
Sat Dec 31 13:02:56 2022  sparse part has weight 59640904 (67.91/col)
Sat Dec 31 13:02:57 2022  matrix starts at (0, 0)
Sat Dec 31 13:02:57 2022  matrix is 878057 x 878235 (264.4 MB) with weight 81842622 (93.19/col)
Sat Dec 31 13:02:57 2022  sparse part has weight 59640904 (67.91/col)
Sat Dec 31 13:02:57 2022  saving the first 48 matrix rows for later
Sat Dec 31 13:02:57 2022  matrix includes 64 packed rows
Sat Dec 31 13:02:58 2022  matrix is 878009 x 878235 (253.8 MB) with weight 65384813 (74.45/col)
Sat Dec 31 13:02:58 2022  sparse part has weight 57738292 (65.74/col)
Sat Dec 31 13:02:58 2022  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sat Dec 31 13:03:00 2022  commencing Lanczos iteration (32 threads)
Sat Dec 31 13:03:00 2022  memory use: 200.0 MB
Sat Dec 31 13:03:02 2022  linear algebra at 0.3%, ETA 0h 9m
Sat Dec 31 13:11:23 2022  lanczos halted after 13887 iterations (dim = 878009)
Sat Dec 31 13:11:24 2022  recovered 31 nontrivial dependencies
Sat Dec 31 13:11:24 2022  BLanczosTime: 548
Sat Dec 31 13:11:24 2022  elapsed time 00:09:09
Sat Dec 31 13:11:24 2022  
Sat Dec 31 13:11:24 2022  
Sat Dec 31 13:11:24 2022  Msieve v. 1.52 (SVN 927)
Sat Dec 31 13:11:24 2022  random seeds: 71f176d4 c8d40cc8
Sat Dec 31 13:11:24 2022  factoring 3578684587736010400267377381275741360680080218689245341954751378535771889389474047543053308094029506627515324986218796327 (121 digits)
Sat Dec 31 13:11:24 2022  searching for 15-digit factors
Sat Dec 31 13:11:24 2022  commencing number field sieve (121-digit input)
Sat Dec 31 13:11:24 2022  R0: -195285661002133392742437
Sat Dec 31 13:11:24 2022  R1: 2043163300079
Sat Dec 31 13:11:24 2022  A0: 2900294841922295098884357789440
Sat Dec 31 13:11:24 2022  A1: -3641839874546750873411592
Sat Dec 31 13:11:24 2022  A2: -310632452693388463246
Sat Dec 31 13:11:24 2022  A3: -368904592032225
Sat Dec 31 13:11:24 2022  A4: 3043505258
Sat Dec 31 13:11:24 2022  A5: 12600
Sat Dec 31 13:11:24 2022  skew 216778.31, size 8.948e-012, alpha -6.268, combined = 2.021e-010 rroots = 3
Sat Dec 31 13:11:24 2022  
Sat Dec 31 13:11:24 2022  commencing square root phase
Sat Dec 31 13:11:24 2022  reading relations for dependency 1
Sat Dec 31 13:11:24 2022  read 439205 cycles
Sat Dec 31 13:11:25 2022  cycles contain 1561790 unique relations
Sat Dec 31 13:11:29 2022  read 1561790 relations
Sat Dec 31 13:11:32 2022  multiplying 1561790 relations
Sat Dec 31 13:12:15 2022  multiply complete, coefficients have about 69.08 million bits
Sat Dec 31 13:12:15 2022  initial square root is modulo 90887
Sat Dec 31 13:13:07 2022  sqrtTime: 103
Sat Dec 31 13:13:07 2022  prp45 factor: 890596905087669502071918634852670513739617171
Sat Dec 31 13:13:07 2022  prp76 factor: 4018298926587588056122111050660160568642666319253782542040568116611882491037
Sat Dec 31 13:13:07 2022  elapsed time 00:01:43
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)
403e641421792Dmitry DomanovDecember 18, 2022 10:21:57 UTC 2022 年 12 月 18 日 (日) 19 時 21 分 57 秒 (日本時間)
2350Ignacio SantosDecember 24, 2022 09:21:26 UTC 2022 年 12 月 24 日 (土) 18 時 21 分 26 秒 (日本時間)

67×10251-229

c252

composite cofactor 合成数の残り
372222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:24:15 UTC 2022 年 12 月 16 日 (金) 17 時 24 分 15 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 07:34:59 UTC 2024 年 3 月 24 日 (日) 16 時 34 分 59 秒 (日本時間)

67×10252-229

c203

name 名前Dmitry Domanov
date 日付January 19, 2023 05:01:29 UTC 2023 年 1 月 19 日 (木) 14 時 1 分 29 秒 (日本時間)
composite number 合成数
21734207122290200728029187022014473390362584559323030065340822117560025696656591858422992512961625240760642010936449772593311764401852106333850998928644018419118004574401828518474783976726097544348890983<203>
prime factors 素因数
5399010017390296510082980974738930812007920891<46>
4025591182880560774912539845444657768839864401277699424390633514267385908409681280004626324864698367304676010846704188915651853481029772953632713436121793413<157>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a19510dbc9e1 with GMP-ECM 7.0.5-dev on Wed Jan 18 23:49:30 2023 
Input number is 21734207122290200728029187022014473390362584559323030065340822117560025696656591858422992512961625240760642010936449772593311764401852106333850998928644018419118004574401828518474783976726097544348890983 (203 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1112662496
Step 1 took 0ms
Step 2 took 10877ms
********** Factor found in step 2: 5399010017390296510082980974738930812007920891
Found prime factor of 46 digits: 5399010017390296510082980974738930812007920891
Prime cofactor 4025591182880560774912539845444657768839864401277699424390633514267385908409681280004626324864698367304676010846704188915651853481029772953632713436121793413 has 157 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)
403e61792Dmitry DomanovDecember 18, 2022 10:22:27 UTC 2022 年 12 月 18 日 (日) 19 時 22 分 27 秒 (日本時間)
4511e645841000Dmitry DomanovJanuary 18, 2023 13:46:11 UTC 2023 年 1 月 18 日 (水) 22 時 46 分 11 秒 (日本時間)
3584Dmitry DomanovJanuary 18, 2023 23:52:53 UTC 2023 年 1 月 19 日 (木) 8 時 52 分 53 秒 (日本時間)

67×10253-229

c229

composite cofactor 合成数の残り
4956653747966818579112043907917816024273006113703508342746126749531551344977157766926722803534584485837862255089357350772572297326943109944710660325975616430976945709221713265912968515943411670238182057781666118193339975941729551<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)
403e61792Dmitry DomanovDecember 18, 2022 10:22:35 UTC 2022 年 12 月 18 日 (日) 19 時 22 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 3, 2023 07:38:12 UTC 2023 年 3 月 3 日 (金) 16 時 38 分 12 秒 (日本時間)

67×10254-229

c210

composite cofactor 合成数の残り
194630271013409393539135636908562974536775829414626408850480114186580669721898472750557903443840880867531803192524649049935890584532395207243051269614147756022023547858852789997657982686029805226419195035680581<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)
403e61792Dmitry DomanovDecember 18, 2022 10:22:42 UTC 2022 年 12 月 18 日 (日) 19 時 22 分 42 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:46:24 UTC 2023 年 1 月 18 日 (水) 22 時 46 分 24 秒 (日本時間)

67×10256-229

c234

composite cofactor 合成数の残り
280015572570268263031956991702128425442989623301662705308567354263182052881715236044922009280347194094190159919010949887531465635341729024730883298641124348492259906670846210020283603846097181338265428738700301959221063109625875145661<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)
403e641421792Dmitry DomanovDecember 18, 2022 10:22:51 UTC 2022 年 12 月 18 日 (日) 19 時 22 分 51 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 07:35:38 UTC 2024 年 3 月 24 日 (日) 16 時 35 分 38 秒 (日本時間)

67×10257-229

c249

composite cofactor 合成数の残り
678437843950203204194255207422223585335487911782737682130565540879687349416860021401562784732831939535539074461455669875592813190944200074879650629930520323746707478109345804297583397250937169786011373978860898692171540612640847799940424286979510959<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)
403e641421792Dmitry DomanovDecember 18, 2022 10:22:58 UTC 2022 年 12 月 18 日 (日) 19 時 22 分 58 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 07:58:35 UTC 2024 年 3 月 24 日 (日) 16 時 58 分 35 秒 (日本時間)

67×10260-229

c241

composite cofactor 合成数の残り
5225438189084949444140880919373508450834658099680660547195082752894251814728018333078875367513005330847892257681905972267305584244686350116841139531399417651933554038750420764064353821686472824494689765778521962875223244738104244007082874341<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)
403e641421792Dmitry DomanovDecember 18, 2022 10:23:07 UTC 2022 年 12 月 18 日 (日) 19 時 23 分 7 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 08:28:03 UTC 2024 年 3 月 24 日 (日) 17 時 28 分 3 秒 (日本時間)

67×10261-229

c257

composite cofactor 合成数の残り
76055295605366098408741591349220944039194585771075830535179547255311951578885233694085168309234021009424045733070885805811532707182571304677514195096590225418814944979101821013510598929777123929266304779678025014246178505184246791488163752727206681968538081<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:24:28 UTC 2022 年 12 月 16 日 (金) 17 時 24 分 28 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 08:28:30 UTC 2024 年 3 月 24 日 (日) 17 時 28 分 30 秒 (日本時間)

67×10264-229

c256

composite cofactor 合成数の残り
7549492629688493211461634932803704740027439737470328553069644424898424917599727447180436236866824027795252317938130997904143434486233457484424127376079900581231854367692852140220460342365240504701646991069676547876885247665379631191379272857303221565851079<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:24:36 UTC 2022 年 12 月 16 日 (金) 17 時 24 分 36 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 08:55:08 UTC 2024 年 3 月 24 日 (日) 17 時 55 分 8 秒 (日本時間)

67×10265-229

c257

composite cofactor 合成数の残り
90419631385014760590512755373106229546308452136098621859039653834611370152963519302808954324976923472803269232489539519514089672934193026022307557895121141875267866977124711274698416176618783153270478296618929195820179203444780881317723323799058244234982429<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:24:42 UTC 2022 年 12 月 16 日 (金) 17 時 24 分 42 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 08:55:20 UTC 2024 年 3 月 24 日 (日) 17 時 55 分 20 秒 (日本時間)

67×10266-229

c218

composite cofactor 合成数の残り
49500407950260776097483646208725906852495571488362737027901017210822300972489036036165882164500979567069519567335534617801683095842259820551897108660262903603928649063600370269629951148526940840295108030734725048743319<218>

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 DomanovDecember 18, 2022 10:23:16 UTC 2022 年 12 月 18 日 (日) 19 時 23 分 16 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovJanuary 18, 2023 13:46:32 UTC 2023 年 1 月 18 日 (水) 22 時 46 分 32 秒 (日本時間)

67×10267-229

c251

composite cofactor 合成数の残り
64948530186597113673691648479731079335958907435579950845878345801128812461014070707004293481414871506219326664300754068334950757596485121852418420823623162037012019324367877898124503441766326198152861578964094076025719392158405895788311341600903499363<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:24:50 UTC 2022 年 12 月 16 日 (金) 17 時 24 分 50 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 09:16:46 UTC 2024 年 3 月 24 日 (日) 18 時 16 分 46 秒 (日本時間)

67×10269-229

c190

composite cofactor 合成数の残り
3504116403082508072896370912850006128857434456608922691276654282050457149346315633612961816691369449352026665135921317118204313942888660259036500072868189342534454030074296068088993630400319<190>

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)
403e61000Dmitry DomanovDecember 19, 2022 12:13:21 UTC 2022 年 12 月 19 日 (月) 21 時 13 分 21 秒 (日本時間)
4511e62000 / 42131000Dmitry DomanovJanuary 8, 2023 00:00:12 UTC 2023 年 1 月 8 日 (日) 9 時 0 分 12 秒 (日本時間)
1000Dmitry DomanovApril 29, 2023 09:22:31 UTC 2023 年 4 月 29 日 (土) 18 時 22 分 31 秒 (日本時間)

67×10271-229

c262

composite cofactor 合成数の残り
1656320397596547524995024471496833887114078321313480013392295357715515552011570013475760111324801564084469288277184192469544997214440428387268223262442723458539639811707436244225867970893024271282614040520816336344916522313766885954191642839047725256434616701619<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:26:18 UTC 2022 年 12 月 16 日 (金) 17 時 26 分 18 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 10:05:25 UTC 2024 年 3 月 24 日 (日) 19 時 5 分 25 秒 (日本時間)

67×10273-229

c218

name 名前Dmitry Domanov
date 日付December 18, 2022 20:32:49 UTC 2022 年 12 月 19 日 (月) 5 時 32 分 49 秒 (日本時間)
composite number 合成数
32586468239176615440468781599389777152031159961156064243795634627766743509662835829017981304494418594988571513325432593625348387590185466990070738962851949194204584234983181267358069991039073582399798565975480129092827<218>
prime factors 素因数
18508345256387197891112962175642062097<38>
1760636501414467708376997646823235477324553338632903702778259260602677169352447531773794553735999836634109748459191547198932367110481181000949286597756759781023252556808168956386091<181>
factorization results 素因数分解の結果
Resuming ECM residue saved by @96e7f219eb1c with GMP-ECM 7.0.5-dev on Sun Dec 18 11:31:35 2022 
Input number is 32586468239176615440468781599389777152031159961156064243795634627766743509662835829017981304494418594988571513325432593625348387590185466990070738962851949194204584234983181267358069991039073582399798565975480129092827 (218 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2148693830
Step 1 took 0ms
Step 2 took 5787ms
********** Factor found in step 2: 18508345256387197891112962175642062097
Found prime factor of 38 digits: 18508345256387197891112962175642062097
Prime cofactor 1760636501414467708376997646823235477324553338632903702778259260602677169352447531773794553735999836634109748459191547198932367110481181000949286597756759781023252556808168956386091 has 181 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)
403e61792 / 2078Dmitry DomanovDecember 18, 2022 10:23:48 UTC 2022 年 12 月 18 日 (日) 19 時 23 分 48 秒 (日本時間)

67×10274-229

c245

composite cofactor 合成数の残り
61350653586822353361894913275225129003725106189911486698928690601976599189759301457092413963762237922149180876768210719611343074113409307574939527123136767035280440279104702098503941588012195713686756784763570961250265616777690834715470636972441<245>

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)
403e641421792Dmitry DomanovDecember 18, 2022 10:23:57 UTC 2022 年 12 月 18 日 (日) 19 時 23 分 57 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 10:17:40 UTC 2024 年 3 月 24 日 (日) 19 時 17 分 40 秒 (日本時間)

67×10276-229

c245

composite cofactor 合成数の残り
83325711098647058089536432117715357968795513580613012761316472699079338308771401407297182041969536600169497181420475082473623887052180613389627560700158096766241454043618779117536324496195638381177836929508235831194969964631970719609710792137589<245>

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)
403e641421792Dmitry DomanovDecember 18, 2022 10:24:06 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 6 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 14:46:37 UTC 2024 年 3 月 24 日 (日) 23 時 46 分 37 秒 (日本時間)

67×10279-229

c236

composite cofactor 合成数の残り
19805248704633767269754500580338912448793610277999309653487530495269615671428136890741917388320351626086592224431824740146998253777763401613917057409046631556062938363922630294982658131260464432574920386872397533012456441165583033900339<236>

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)
403e641421792Dmitry DomanovDecember 18, 2022 10:24:15 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 15 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 14:47:50 UTC 2024 年 3 月 24 日 (日) 23 時 47 分 50 秒 (日本時間)

67×10280-229

c251

composite cofactor 合成数の残り
13406159995234439467244645474397136360299764911476361570994494867839108207953396535718430680414011492842436496700917211983945808116240136790812035926128842966903667002023786059997103128066328504079397297624792582452317406741218208352764057850018314107<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)
403e641421792Dmitry DomanovDecember 16, 2022 08:26:25 UTC 2022 年 12 月 16 日 (金) 17 時 26 分 25 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 15:03:45 UTC 2024 年 3 月 25 日 (月) 0 時 3 分 45 秒 (日本時間)

67×10282-229

c273

composite cofactor 合成数の残り
176423434011881539727696828348953175260401436374745417122495902148214002199090625033366855455761887099542379242739463375529880503954847632191735003799719999681312711243022232306640480601482184341348096230917932435804390326201529192985719085249257343820574278735770082429597<273>

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 DomanovDecember 16, 2022 08:26:35 UTC 2022 年 12 月 16 日 (金) 17 時 26 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 21:59:37 UTC 2023 年 3 月 7 日 (火) 6 時 59 分 37 秒 (日本時間)

67×10283-229

c236

composite cofactor 合成数の残り
63971337575576513826622183326112821392909776957377249994582111942028412753891974466794969489862648596338819936081129407101358985343049541617817014969328431298585801534144979016012621155401054597742821865397951740112258844470299761505659<236>

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)
403e641421792Dmitry DomanovDecember 18, 2022 10:24:23 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 23 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 09:32:21 UTC 2024 年 3 月 24 日 (日) 18 時 32 分 21 秒 (日本時間)

67×10284-229

c248

composite cofactor 合成数の残り
52830315805046890478639522611137743220473796820631865747751854389121135519069623755888435685174075130326456955088144127835747549171957965985993349121868406679150746931550547097824131070363486854485239274187493558093962271511320571983483657558448101<248>

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 DomanovDecember 18, 2022 10:24:31 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 20, 2023 07:58:59 UTC 2023 年 5 月 20 日 (土) 16 時 58 分 59 秒 (日本時間)

67×10285-229

c207

composite cofactor 合成数の残り
862920451906590228274581050874550430909216910704411974749335384083512477530709502005054222419334124123796701507007872888595008628791238446250370748640087730734377271260237276461305351664745032918873466260389<207>

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 DomanovDecember 18, 2022 10:24:40 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 40 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovJanuary 18, 2023 13:46:42 UTC 2023 年 1 月 18 日 (水) 22 時 46 分 42 秒 (日本時間)
1792Dmitry DomanovMay 5, 2023 11:07:07 UTC 2023 年 5 月 5 日 (金) 20 時 7 分 7 秒 (日本時間)

67×10286-229

c258

composite cofactor 合成数の残り
455251288267909213199739634836298609340751574091460359853583833819661773260279691602928782240107566152273425832078534581731222652838721705225530773538321501311263418567813837047240249423438812937482075938792826591992134654658092603961721829397791827238699689<258>

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 DomanovDecember 16, 2022 08:26:44 UTC 2022 年 12 月 16 日 (金) 17 時 26 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 24, 2023 18:37:16 UTC 2023 年 5 月 25 日 (木) 3 時 37 分 16 秒 (日本時間)

67×10287-229

c235

composite cofactor 合成数の残り
1498184408899209493118199354486752027869645741937640749870577218981166662847756178793755495195515087872565559161716643535102152351674209385091934790708973575224558821828845419554272559801041046736363895895843658243241877641427078528533<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)
403e641421792Dmitry DomanovDecember 18, 2022 10:24:48 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 48 秒 (日本時間)
2350Ignacio SantosMarch 24, 2024 09:46:23 UTC 2024 年 3 月 24 日 (日) 18 時 46 分 23 秒 (日本時間)

67×10288-229

c277

composite cofactor 合成数の残り
1086359559421815123894751394517574389108089196702965236096601128127127890807093987225816769518669587333475852616349660721458024888381130134624391830852676463211771004707056101143732779064186672616574507479995197413190643486309204358964869716328400288847317781703774561882377067<277>

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 DomanovDecember 16, 2022 08:26:52 UTC 2022 年 12 月 16 日 (金) 17 時 26 分 52 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 21:59:46 UTC 2023 年 3 月 7 日 (火) 6 時 59 分 46 秒 (日本時間)

67×10289-229

c263

composite cofactor 合成数の残り
20548584910279710873625191627218052034385320777259591301668826749147567435488793802796849053358752278321454424503410002643930007491790868418878919132557806498302432468577842456563978157210635567383627347498635542688439182688052337168858497361305558389227010828137<263>

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 DomanovDecember 16, 2022 08:26:59 UTC 2022 年 12 月 16 日 (金) 17 時 26 分 59 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMay 13, 2023 08:34:58 UTC 2023 年 5 月 13 日 (土) 17 時 34 分 58 秒 (日本時間)
1792Dmitry DomanovMay 15, 2023 21:14:52 UTC 2023 年 5 月 16 日 (火) 6 時 14 分 52 秒 (日本時間)

67×10290-229

c277

composite cofactor 合成数の残り
7156657498498483985092076320981841230999953657238933235507195318908687611166627821742987836808420025835219705627399439985498111998108945616160443011236003149831356127732474820358924127120927988956268200003296242468376501606512967893324644658877906543799611210297712421029539357<277>

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 DomanovDecember 16, 2022 08:27:08 UTC 2022 年 12 月 16 日 (金) 17 時 27 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 21:59:54 UTC 2023 年 3 月 7 日 (火) 6 時 59 分 54 秒 (日本時間)

67×10291-229

c243

composite cofactor 合成数の残り
126588392452184865135641150537383563752387640217071917866688629849647357252126746317248772886276093423554092912592179428354774749246488216375772717434605819795621889597726655884493113666670770254005117449280794139022469880806805139951867851453<243>

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 DomanovDecember 18, 2022 10:24:57 UTC 2022 年 12 月 18 日 (日) 19 時 24 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 13, 2023 08:34:23 UTC 2023 年 5 月 13 日 (土) 17 時 34 分 23 秒 (日本時間)

67×10293-229

c283

composite cofactor 合成数の残り
3388985381941590577641354558482526275116876727969503977232965252777070310614898339073236443188904867043782912588524965403522268082302507948401304239803562530882060185460981785053459794759102372278309654773902181568098932516476986488531598314482628718738782409985245165854283474910361<283>

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 DomanovDecember 16, 2022 08:27:15 UTC 2022 年 12 月 16 日 (金) 17 時 27 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 22:00:03 UTC 2023 年 3 月 7 日 (火) 7 時 0 分 3 秒 (日本時間)

67×10294-229

c264

name 名前Dmitry Domanov
date 日付May 13, 2023 17:35:45 UTC 2023 年 5 月 14 日 (日) 2 時 35 分 45 秒 (日本時間)
composite number 合成数
698628288500246105139699949787989971552141847444113842419236179384741193344938017464299385904378084570227707411175029704234181364574625099328828060765311442304921065745864350997527347530769701057681557046790735269214935986917349004337447998525105502622303846901187<264>
prime factors 素因数
7786648867423342035986107821525159553428251<43>
composite cofactor 合成数の残り
89721303784875459149695685291557893861678814153407769668445332764995954445058761914046394395016466236847592335849191239739858790013134394480827165172941232427532718990383211039635395437976211439132486328937202517612130937<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4b72261b46b7 with GMP-ECM 7.0.5-dev on Fri May 12 21:32:28 2023 
Input number is 698628288500246105139699949787989971552141847444113842419236179384741193344938017464299385904378084570227707411175029704234181364574625099328828060765311442304921065745864350997527347530769701057681557046790735269214935986917349004337447998525105502622303846901187 (264 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3311552999
Step 1 took 0ms
Step 2 took 22056ms
********** Factor found in step 2: 7786648867423342035986107821525159553428251
Found prime factor of 43 digits: 7786648867423342035986107821525159553428251
Composite cofactor 89721303784875459149695685291557893861678814153407769668445332764995954445058761914046394395016466236847592335849191239739858790013134394480827165172941232427532718990383211039635395437976211439132486328937202517612130937 has 221 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)
403e61792Dmitry DomanovDecember 16, 2022 08:27:23 UTC 2022 年 12 月 16 日 (金) 17 時 27 分 23 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMay 12, 2023 21:11:15 UTC 2023 年 5 月 13 日 (土) 6 時 11 分 15 秒 (日本時間)
1792Dmitry DomanovMay 24, 2023 18:37:40 UTC 2023 年 5 月 25 日 (木) 3 時 37 分 40 秒 (日本時間)

67×10295-229

c286

composite cofactor 合成数の残り
2463839958179992023637625564763402140371766778585039767234157461864303213709700199820988395751720621879094831152112767369074830005804534006842664015141000480478968368526541645972761778690952414231672149732111082794919236870557228871690905152037217519160996905790361504428797221876370617<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)
403e61792Dmitry DomanovDecember 16, 2022 08:27:30 UTC 2022 年 12 月 16 日 (金) 17 時 27 分 30 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 22:00:12 UTC 2023 年 3 月 7 日 (火) 7 時 0 分 12 秒 (日本時間)

67×10296-229

c284

composite cofactor 合成数の残り
60046403778552832376724639090129148036125692446404207620365028712779032318205289003442396145597012573367541044057004036039118114440300890756788148775678868760416239436196268497644665366243665147214202111172438437734336668894274490462583748510270012983670263661640366474276447042023987<284>

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 DomanovDecember 16, 2022 08:27:38 UTC 2022 年 12 月 16 日 (金) 17 時 27 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 22:00:19 UTC 2023 年 3 月 7 日 (火) 7 時 0 分 19 秒 (日本時間)

67×10298-229

c240

composite cofactor 合成数の残り
180754649589226016469079383566926542965756927698304007185211576938786714318184866704797743569289681544749784760862815390382485445922854301541280351055587392083060548123982173265997299762258917574162354336148125306184763850034352303953173829<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)
403e61792Dmitry DomanovDecember 18, 2022 10:25:05 UTC 2022 年 12 月 18 日 (日) 19 時 25 分 5 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMay 6, 2023 11:33:46 UTC 2023 年 5 月 6 日 (土) 20 時 33 分 46 秒 (日本時間)

67×10299-229

c286

composite cofactor 合成数の残り
2253462878149218002910266432743088356508817342863149562521628683684488682239045362143579509136547999343663089535128595084759055069955440883443371110483902889501651910130741999753593285081092462705335766181109737700484901897301553118291041796975330522871205972722259621444689896775671829<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)
403e61792Dmitry DomanovDecember 16, 2022 08:27:46 UTC 2022 年 12 月 16 日 (金) 17 時 27 分 46 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 6, 2023 22:00:27 UTC 2023 年 3 月 7 日 (火) 7 時 0 分 27 秒 (日本時間)