Table of contents 目次

37×10102+449

c99

name 名前Dmitry Domanov
date 日付June 29, 2022 18:42:14 UTC 2022 年 6 月 30 日 (木) 3 時 42 分 14 秒 (日本時間)
composite number 合成数
120165763799576496875690141211011081232056328513711887966535458643490912870078075269236265377970043<99>
prime factors 素因数
2907316457433438733379617128572170551817701953<46>
41332192610933761746530312883691888991762318064761531<53>
factorization results 素因数分解の結果
N=120165763799576496875690141211011081232056328513711887966535458643490912870078075269236265377970043
  ( 99 digits)
SNFS difficulty: 102 digits.
Divisors found:
p46 factor: 2907316457433438733379617128572170551817701953
p53 factor: 41332192610933761746530312883691888991762318064761531
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 120165763799576496875690141211011081232056328513711887966535458643490912870078075269236265377970043
m: 10000000000000000000000000
deg: 4
c4: 925
c0: 11
skew: 0.33
# Murphy_E = 2.779e-07
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 31310 x 31540
Total sieving time: 0.05 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,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.06 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10108+449

c96

name 名前Dmitry Domanov
date 日付June 29, 2022 18:53:40 UTC 2022 年 6 月 30 日 (木) 3 時 53 分 40 秒 (日本時間)
composite number 合成数
163922208087163751793462137280244001620277905446561297111633850299315698466946317937122288132247<96>
prime factors 素因数
134834551301514814621741643304566970686047403179<48>
1215728509531682243757022612982206906010374935493<49>
factorization results 素因数分解の結果
N=163922208087163751793462137280244001620277905446561297111633850299315698466946317937122288132247
  ( 96 digits)
SNFS difficulty: 109 digits.
Divisors found:
p48 factor: 134834551301514814621741643304566970686047403179
p49 factor: 1215728509531682243757022612982206906010374935493
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 163922208087163751793462137280244001620277905446561297111633850299315698466946317937122288132247
m: 1000000000000000000000000000
deg: 4
c4: 37
c0: 44
skew: 1.04
# Murphy_E = 1.166e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 455001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40873 x 41098
Total sieving time: 0.18 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.19 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10112+449

c90

name 名前Dmitry Domanov
date 日付June 29, 2022 19:28:47 UTC 2022 年 6 月 30 日 (木) 4 時 28 分 47 秒 (日本時間)
composite number 合成数
282793076000528794660562478258624218887465430056794940672964099059729642521032553720017711<90>
prime factors 素因数
1889318799364548994957312293127337533<37>
149679914313901416026789396713105118415168932961391067<54>
factorization results 素因数分解の結果
P54 = 149679914313901416026789396713105118415168932961391067
P37 = 1889318799364548994957312293127337533
software ソフトウェア
YAFU/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10113+449

c99

name 名前Dmitry Domanov
date 日付June 29, 2022 19:32:45 UTC 2022 年 6 月 30 日 (木) 4 時 32 分 45 秒 (日本時間)
composite number 合成数
719374704126835328598479761123940740138599429527722838935505929694313474996455247697777069587986459<99>
prime factors 素因数
5025192395507700656916986267131201132463492179723<49>
143153664080588126279032066491625920127772463357233<51>
factorization results 素因数分解の結果
N=719374704126835328598479761123940740138599429527722838935505929694313474996455247697777069587986459
  ( 99 digits)
SNFS difficulty: 114 digits.
Divisors found:
p49 factor: 5025192395507700656916986267131201132463492179723
p51 factor: 143153664080588126279032066491625920127772463357233
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.30 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 719374704126835328598479761123940740138599429527722838935505929694313474996455247697777069587986459
m: 10000000000000000000000000000
deg: 4
c4: 185
c0: 22
skew: 0.59
# Murphy_E = 7.34e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60328 x 60553
Total sieving time: 0.29 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.30 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10119+449

c113

name 名前Dmitry Domanov
date 日付June 29, 2022 23:11:41 UTC 2022 年 6 月 30 日 (木) 8 時 11 分 41 秒 (日本時間)
composite number 合成数
60014082872246756628101292612512942766872407918770646872010852622346169145378049469640951637797297601532312003939<113>
prime factors 素因数
250222195794991375920225529284415081040558731<45>
239843162919954045376782861321910448778094321650973953467556670706569<69>
factorization results 素因数分解の結果
N=60014082872246756628101292612512942766872407918770646872010852622346169145378049469640951637797297601532312003939
  ( 113 digits)
SNFS difficulty: 120 digits.
Divisors found:
p45 factor: 250222195794991375920225529284415081040558731
p69 factor: 239843162919954045376782861321910448778094321650973953467556670706569
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.78 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 60014082872246756628101292612512942766872407918770646872010852622346169145378049469640951637797297601532312003939
m: 500000000000000000000000000000
deg: 4
c4: 74
c0: 55
skew: 0.93
# Murphy_E = 3.237e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69439 x 69664
Total sieving time: 0.77 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,120.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 0.78 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10120+449

c94

name 名前Ignacio Santos
date 日付June 30, 2022 12:20:47 UTC 2022 年 6 月 30 日 (木) 21 時 20 分 47 秒 (日本時間)
composite number 合成数
2182491119053563975619634965226707858631933198425317895032885665661146448926011932865271290267<94>
prime factors 素因数
1635364162159131668553280371466540548411263563<46>
1334559708201061374652785804541848541863243111409<49>
factorization results 素因数分解の結果
N=2182491119053563975619634965226707858631933198425317895032885665661146448926011932865271290267
  ( 94 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1635364162159131668553280371466540548411263563 (pp46)
 r2=1334559708201061374652785804541848541863243111409 (pp49)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.03 hours.
Scaled time: 7.96 units (timescale=7.734).
Factorization parameters were as follows:
n: 2182491119053563975619634965226707858631933198425317895032885665661146448926011932865271290267
m: 1000000000000000000000000000000
deg: 4
c4: 37
c0: 44
skew: 1.04
# Murphy_E = 3.213e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75317 x 75542
Total sieving time: 1.02 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,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 1.03 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10125+449

c83

name 名前Eric Jeancolas
date 日付June 29, 2022 15:08:32 UTC 2022 年 6 月 30 日 (木) 0 時 8 分 32 秒 (日本時間)
composite number 合成数
13720744106909952495772391339767844384200738767199861883426959323789388631891998847<83>
prime factors 素因数
442215160941629744425919538704473<33>
31027303717253204133186825757306300121290870002839<50>
factorization results 素因数分解の結果
Wed Jun 29 16:57:06 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:57:06 2022  random seeds: e1351580 173f439c
Wed Jun 29 16:57:06 2022  factoring 13720744106909952495772391339767844384200738767199861883426959323789388631891998847 (83 digits)
Wed Jun 29 16:57:06 2022  searching for 15-digit factors
Wed Jun 29 16:57:06 2022  commencing quadratic sieve (83-digit input)
Wed Jun 29 16:57:06 2022  using multiplier of 23
Wed Jun 29 16:57:06 2022  using generic 32kb sieve core
Wed Jun 29 16:57:06 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:57:06 2022  processing polynomials in batches of 17
Wed Jun 29 16:57:06 2022  using a sieve bound of 1359377 (51989 primes)
Wed Jun 29 16:57:06 2022  using large prime bound of 125062684 (26 bits)
Wed Jun 29 16:57:06 2022  using trial factoring cutoff of 27 bits
Wed Jun 29 16:57:06 2022  polynomial 'A' values have 11 factors
Wed Jun 29 17:07:04 2022  52349 relations (27354 full + 24995 combined from 273173 partial), need 52085
Wed Jun 29 17:07:05 2022  begin with 300527 relations
Wed Jun 29 17:07:05 2022  reduce to 74239 relations in 2 passes
Wed Jun 29 17:07:05 2022  attempting to read 74239 relations
Wed Jun 29 17:07:05 2022  recovered 74239 relations
Wed Jun 29 17:07:05 2022  recovered 66188 polynomials
Wed Jun 29 17:07:05 2022  attempting to build 52349 cycles
Wed Jun 29 17:07:05 2022  found 52349 cycles in 1 passes
Wed Jun 29 17:07:05 2022  distribution of cycle lengths:
Wed Jun 29 17:07:05 2022     length 1 : 27354
Wed Jun 29 17:07:05 2022     length 2 : 24995
Wed Jun 29 17:07:05 2022  largest cycle: 2 relations
Wed Jun 29 17:07:05 2022  matrix is 51989 x 52349 (8.0 MB) with weight 1674686 (31.99/col)
Wed Jun 29 17:07:05 2022  sparse part has weight 1674686 (31.99/col)
Wed Jun 29 17:07:06 2022  filtering completed in 3 passes
Wed Jun 29 17:07:06 2022  matrix is 37053 x 37115 (6.2 MB) with weight 1316299 (35.47/col)
Wed Jun 29 17:07:06 2022  sparse part has weight 1316299 (35.47/col)
Wed Jun 29 17:07:06 2022  saving the first 48 matrix rows for later
Wed Jun 29 17:07:06 2022  matrix includes 64 packed rows
Wed Jun 29 17:07:06 2022  matrix is 37005 x 37115 (4.0 MB) with weight 963670 (25.96/col)
Wed Jun 29 17:07:06 2022  sparse part has weight 668617 (18.01/col)
Wed Jun 29 17:07:06 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 17:07:06 2022  commencing Lanczos iteration
Wed Jun 29 17:07:06 2022  memory use: 2.3 MB
Wed Jun 29 17:07:10 2022  lanczos halted after 586 iterations (dim = 37003)
Wed Jun 29 17:07:10 2022  recovered 17 nontrivial dependencies
Wed Jun 29 17:07:10 2022  p33 factor: 442215160941629744425919538704473
Wed Jun 29 17:07:10 2022  p50 factor: 31027303717253204133186825757306300121290870002839
Wed Jun 29 17:07:10 2022  elapsed time 00:10:04
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10128+449

c107

name 名前Ignacio Santos
date 日付June 30, 2022 13:45:33 UTC 2022 年 6 月 30 日 (木) 22 時 45 分 33 秒 (日本時間)
composite number 合成数
30146676671060905195897674879844129121217747511372675870625595474169776119303781357964983356824383509566297<107>
prime factors 素因数
175758952261503564711066511114892352729872866507<48>
171522851514311874683334292069921793156530588784757852884971<60>
factorization results 素因数分解の結果
N=30146676671060905195897674879844129121217747511372675870625595474169776119303781357964983356824383509566297
  ( 107 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=175758952261503564711066511114892352729872866507 (pp48)
 r2=171522851514311874683334292069921793156530588784757852884971 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.06 hours.
Scaled time: 15.83 units (timescale=7.692).
Factorization parameters were as follows:
n: 30146676671060905195897674879844129121217747511372675870625595474169776119303781357964983356824383509566297
m: 100000000000000000000000000000000
deg: 4
c4: 37
c0: 44
skew: 1.04
# Murphy_E = 1.326e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131377 x 131604
Total sieving time: 2.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 2.06 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10130+449

c114

name 名前Ignacio Santos
date 日付June 30, 2022 14:11:48 UTC 2022 年 6 月 30 日 (木) 23 時 11 分 48 秒 (日本時間)
composite number 合成数
353181740188562362276803912742451567965879191461293859009647066425256352295132633953815534740121514047449764178551<114>
prime factors 素因数
40784721422704313548406413196024954908519901768345779463<56>
8659658025565200287046648949605715428093271679584845167377<58>
factorization results 素因数分解の結果
N=353181740188562362276803912742451567965879191461293859009647066425256352295132633953815534740121514047449764178551
  ( 114 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=40784721422704313548406413196024954908519901768345779463 (pp56)
 r2=8659658025565200287046648949605715428093271679584845167377 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.13 hours.
Scaled time: 16.26 units (timescale=7.639).
Factorization parameters were as follows:
n: 353181740188562362276803912742451567965879191461293859009647066425256352295132633953815534740121514047449764178551
m: 100000000000000000000000000000000
deg: 4
c4: 925
c0: 11
skew: 0.33
# Murphy_E = 1.364e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1035001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131166 x 131395
Total sieving time: 2.11 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,130.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 2.13 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10137+449

c133

name 名前Bob Backstrom
date 日付June 29, 2022 20:46:40 UTC 2022 年 6 月 30 日 (木) 5 時 46 分 40 秒 (日本時間)
composite number 合成数
8368844375684209573957965782735752607912855449700983452306634457925069438789819866279437975553927023677044033692515086538374544237259<133>
prime factors 素因数
78230735631899540504766346540765145061583<41>
60883301543801979158077439312162085564084713<44>
1757073313738549505775943585410888833838622817021<49>
factorization results 素因数分解の結果
Number: n
N=8368844375684209573957965782735752607912855449700983452306634457925069438789819866279437975553927023677044033692515086538374544237259  ( 133 digits)
SNFS difficulty: 138 digits.
Divisors found:

Thu Jun 30 06:39:47 2022  found factor: 60883301543801979158077439312162085564084713
Thu Jun 30 06:40:00 2022  p41 factor: 78230735631899540504766346540765145061583
Thu Jun 30 06:40:00 2022  p44 factor: 60883301543801979158077439312162085564084713
Thu Jun 30 06:40:00 2022  p49 factor: 1757073313738549505775943585410888833838622817021
Thu Jun 30 06:40:00 2022  elapsed time 00:03:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 37x10^137+44 = 41(136)6
#
n: 8368844375684209573957965782735752607912855449700983452306634457925069438789819866279437975553927023677044033692515086538374544237259
m: 10000000000000000000000000000000000
deg: 4
c4: 185
c0: 22
skew: 0.59
# Murphy_E = 5.144e-09
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6305000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 380740 hash collisions in 6181537 relations (6499682 unique)
Msieve: matrix is 198250 x 198475 (65.4 MB)

Sieving start time : 2022/06/30 06:22:44
Sieving end time  : 2022/06/30 06:36:30

Total sieving time: 0hrs 13min 46secs.

Total relation processing time: 0hrs 1min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,138,4,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10142+449

c140

name 名前Bob Backstrom
date 日付June 29, 2022 19:43:49 UTC 2022 年 6 月 30 日 (木) 4 時 43 分 49 秒 (日本時間)
composite number 合成数
11407078554692317178443704525835491429276112960907633493649031939819953138488099642372672339376001973116290541373782217289431495868787766679<140>
prime factors 素因数
3908611153306625937474899242810091<34>
2274726331993050176040959123724280089641946781<46>
1282988638116968437418718339124697938224611541058428047546249<61>
factorization results 素因数分解の結果
Number: n
N=11407078554692317178443704525835491429276112960907633493649031939819953138488099642372672339376001973116290541373782217289431495868787766679  ( 140 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Jun 30 05:39:58 2022  found factor: 1282988638116968437418718339124697938224611541058428047546249
Thu Jun 30 05:40:07 2022  found factor: 1282988638116968437418718339124697938224611541058428047546249
Thu Jun 30 05:40:16 2022  p34 factor: 3908611153306625937474899242810091
Thu Jun 30 05:40:16 2022  p46 factor: 2274726331993050176040959123724280089641946781
Thu Jun 30 05:40:16 2022  p61 factor: 1282988638116968437418718339124697938224611541058428047546249
Thu Jun 30 05:40:16 2022  elapsed time 00:03:05 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 37x10^142+44 = 41(141)6
#
n: 11407078554692317178443704525835491429276112960907633493649031939819953138488099642372672339376001973116290541373782217289431495868787766679
m: 100000000000000000000000000000000000
deg: 4
c4: 925
c0: 11
skew: 0.33
# Murphy_E = 3.474e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6445000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 387040 hash collisions in 6023257 relations (6321645 unique)
Msieve: matrix is 243479 x 243704 (82.1 MB)

Sieving start time : 2022/06/30 05:20:59
Sieving end time  : 2022/06/30 05:36:59

Total sieving time: 0hrs 16min 0secs.

Total relation processing time: 0hrs 1min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10143+449

c76

name 名前Eric Jeancolas
date 日付June 29, 2022 14:54:40 UTC 2022 年 6 月 29 日 (水) 23 時 54 分 40 秒 (日本時間)
composite number 合成数
2617422473168185500887247262013826663326530211824594947160462148655550293611<76>
prime factors 素因数
70495464261017887771421697920933<32>
37128948657985508784030522401042888385986767<44>
factorization results 素因数分解の結果
Wed Jun 29 16:48:28 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:48:28 2022  random seeds: bccacba8 380942d1
Wed Jun 29 16:48:28 2022  factoring 2617422473168185500887247262013826663326530211824594947160462148655550293611 (76 digits)
Wed Jun 29 16:48:28 2022  searching for 15-digit factors
Wed Jun 29 16:48:29 2022  commencing quadratic sieve (76-digit input)
Wed Jun 29 16:48:29 2022  using multiplier of 11
Wed Jun 29 16:48:29 2022  using generic 32kb sieve core
Wed Jun 29 16:48:29 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:48:29 2022  processing polynomials in batches of 17
Wed Jun 29 16:48:29 2022  using a sieve bound of 739699 (29535 primes)
Wed Jun 29 16:48:29 2022  using large prime bound of 73969900 (26 bits)
Wed Jun 29 16:48:29 2022  using trial factoring cutoff of 26 bits
Wed Jun 29 16:48:29 2022  polynomial 'A' values have 10 factors
Wed Jun 29 16:51:01 2022  30032 relations (15006 full + 15026 combined from 164045 partial), need 29631
Wed Jun 29 16:51:01 2022  begin with 179051 relations
Wed Jun 29 16:51:01 2022  reduce to 43133 relations in 2 passes
Wed Jun 29 16:51:01 2022  attempting to read 43133 relations
Wed Jun 29 16:51:01 2022  recovered 43133 relations
Wed Jun 29 16:51:01 2022  recovered 35422 polynomials
Wed Jun 29 16:51:01 2022  attempting to build 30032 cycles
Wed Jun 29 16:51:01 2022  found 30032 cycles in 1 passes
Wed Jun 29 16:51:01 2022  distribution of cycle lengths:
Wed Jun 29 16:51:01 2022     length 1 : 15006
Wed Jun 29 16:51:01 2022     length 2 : 15026
Wed Jun 29 16:51:01 2022  largest cycle: 2 relations
Wed Jun 29 16:51:01 2022  matrix is 29535 x 30032 (4.4 MB) with weight 902930 (30.07/col)
Wed Jun 29 16:51:01 2022  sparse part has weight 902930 (30.07/col)
Wed Jun 29 16:51:01 2022  filtering completed in 3 passes
Wed Jun 29 16:51:01 2022  matrix is 21691 x 21755 (3.4 MB) with weight 717931 (33.00/col)
Wed Jun 29 16:51:01 2022  sparse part has weight 717931 (33.00/col)
Wed Jun 29 16:51:01 2022  saving the first 48 matrix rows for later
Wed Jun 29 16:51:01 2022  matrix includes 64 packed rows
Wed Jun 29 16:51:01 2022  matrix is 21643 x 21755 (2.2 MB) with weight 520399 (23.92/col)
Wed Jun 29 16:51:01 2022  sparse part has weight 356025 (16.37/col)
Wed Jun 29 16:51:01 2022  commencing Lanczos iteration
Wed Jun 29 16:51:01 2022  memory use: 2.2 MB
Wed Jun 29 16:51:04 2022  lanczos halted after 344 iterations (dim = 21640)
Wed Jun 29 16:51:04 2022  recovered 15 nontrivial dependencies
Wed Jun 29 16:51:04 2022  p32 factor: 70495464261017887771421697920933
Wed Jun 29 16:51:04 2022  p44 factor: 37128948657985508784030522401042888385986767
Wed Jun 29 16:51:04 2022  elapsed time 00:02:36
software ソフトウェア
Msieve v. 1.53
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10144+449

c122

name 名前Eric Jeancolas
date 日付July 5, 2022 03:04:57 UTC 2022 年 7 月 5 日 (火) 12 時 4 分 57 秒 (日本時間)
composite number 合成数
39840226101648486676452910505405983166666414493312195912821707039856867117598561593392020966524990052027797115005782364249<122>
prime factors 素因数
3557252917866482050475202446046811372261564441969080737<55>
11199717034891993004532728294685938103309898379625180268481418267577<68>
factorization results 素因数分解の結果
39840226101648486676452910505405983166666414493312195912821707039856867117598561593392020966524990052027797115005782364249=3557252917866482050475202446046811372261564441969080737*11199717034891993004532728294685938103309898379625180268481418267577

cado polynomial
n: 39840226101648486676452910505405983166666414493312195912821707039856867117598561593392020966524990052027797115005782364249
skew: 1.04
type: snfs
c0: 44
c4: 37
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^4+44
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1870000
tasks.lim1 = 1870000
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: 3557252917866482050475202446046811372261564441969080737 11199717034891993004532728294685938103309898379625180268481418267577
Info:Square Root: Total cpu/real time for sqrt: 39.84/13.4166
Info:Quadratic Characters: Total cpu/real time for characters: 8.04/3.15522
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.43/49.4756
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.0s
Info:Square Root: Total cpu/real time for sqrt: 39.84/13.4166
Info:Linear Algebra: Total cpu/real time for bwc: 923.44/238.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 561.01, WCT time 143.27, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7936 iterations)
Info:Linear Algebra: Lingen CPU time 35.62, WCT time 9.11
Info:Linear Algebra: Mksol: CPU time 304.44,  WCT time 77.84, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3968 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.3/25.4233
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.87/33.1715
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6066002
Info:Lattice Sieving: Average J: 1892.39 for 155006 special-q, max bucket fill -bkmult 1.0,1s:1.357230
Info:Lattice Sieving: Total time: 21509.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.01/23.4006
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s
Info:Filtering - Merging: Merged matrix has 250714 rows and total weight 42785488 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.31/14.152
Info:Filtering - Merging: Total cpu/real time for replay: 7.97/6.66383
Info:Generate Factor Base: Total cpu/real time for makefb: 0.95/1.32775
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25181.7/11305.7
Info:root: Cleaning up computation data in /tmp/cado.jt2oonlt
3557252917866482050475202446046811372261564441969080737 11199717034891993004532728294685938103309898379625180268481418267577
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10145+449

c122

name 名前Eric Jeancolas
date 日付July 5, 2022 07:48:16 UTC 2022 年 7 月 5 日 (火) 16 時 48 分 16 秒 (日本時間)
composite number 合成数
13835674487396542323867976510497216822426949699073851517380834422599510139502710491732434087811659429953351046521256836049<122>
prime factors 素因数
1204022912042275806234750356344050062628202578005437109609<58>
11491205315958922843593497863310171157570900648297254840535621161<65>
factorization results 素因数分解の結果
13835674487396542323867976510497216822426949699073851517380834422599510139502710491732434087811659429953351046521256836049=1204022912042275806234750356344050062628202578005437109609*11491205315958922843593497863310171157570900648297254840535621161

cado polynomial
n: 13835674487396542323867976510497216822426949699073851517380834422599510139502710491732434087811659429953351046521256836049
skew: 0.59
type: snfs
c0: 22
c4: 185
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^4+22
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1920000
tasks.lim1 = 1920000
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: 1204022912042275806234750356344050062628202578005437109609 11491205315958922843593497863310171157570900648297254840535621161
Info:Square Root: Total cpu/real time for sqrt: 42.02/13.5522
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.87/32.6532
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6046807
Info:Lattice Sieving: Average J: 1892.05 for 159964 special-q, max bucket fill -bkmult 1.0,1s:1.315750
Info:Lattice Sieving: Total time: 19139.5s
Info:Linear Algebra: Total cpu/real time for bwc: 964.77/249.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 584.59, WCT time 149.23, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 36.27, WCT time 9.26
Info:Linear Algebra: Mksol: CPU time 320.74,  WCT time 81.91, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4096 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.58/25.6011
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.07/24.0763
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.0s
Info:Filtering - Merging: Merged matrix has 256840 rows and total weight 43817610 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.02/14.4124
Info:Filtering - Merging: Total cpu/real time for replay: 8.12/6.74974
Info:Generate Factor Base: Total cpu/real time for makefb: 0.98/1.3117
Info:Quadratic Characters: Total cpu/real time for characters: 8.15/3.20566
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.73/49.0186
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.8s
Info:Square Root: Total cpu/real time for sqrt: 42.02/13.5522
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25947.8/10126.2
Info:root: Cleaning up computation data in /tmp/cado.4_8hq1hk
1204022912042275806234750356344050062628202578005437109609 11491205315958922843593497863310171157570900648297254840535621161
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10148+449

c120

name 名前Eric Jeancolas
date 日付July 5, 2022 13:10:41 UTC 2022 年 7 月 5 日 (火) 22 時 10 分 41 秒 (日本時間)
composite number 合成数
765262697745310912031906606366831281473641226427098428234788417267342527496990365435954090716550278925774407753792445949<120>
prime factors 素因数
187897215725829666842971982602460744838673<42>
4072772950834696927256163032488083032546062781812190080413463675469135416538413<79>
factorization results 素因数分解の結果
765262697745310912031906606366831281473641226427098428234788417267342527496990365435954090716550278925774407753792445949=187897215725829666842971982602460744838673*4072772950834696927256163032488083032546062781812190080413463675469135416538413

cado polynomial
n: 765262697745310912031906606366831281473641226427098428234788417267342527496990365435954090716550278925774407753792445949
skew: 1.04
type: snfs
c0: 44
c4: 37
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^4+44
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
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: 4072772950834696927256163032488083032546062781812190080413463675469135416538413 187897215725829666842971982602460744838673
Info:Square Root: Total cpu/real time for sqrt: 53.47/17.3835
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.17/30.9476
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6056740
Info:Lattice Sieving: Average J: 1892.97 for 224941 special-q, max bucket fill -bkmult 1.0,1s:1.320980
Info:Lattice Sieving: Total time: 19223.2s
Info:Linear Algebra: Total cpu/real time for bwc: 1499.59/386.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 919.31, WCT time 234.49, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 47.48, WCT time 12.12
Info:Linear Algebra: Mksol: CPU time 503.65,  WCT time 128.53, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.67/11.1855
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.28/24.355
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.3s
Info:Filtering - Merging: Merged matrix has 318866 rows and total weight 54223267 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.36/18.3846
Info:Filtering - Merging: Total cpu/real time for replay: 10.23/8.51833
Info:Generate Factor Base: Total cpu/real time for makefb: 1.1/0.616115
Info:Quadratic Characters: Total cpu/real time for characters: 10.27/4.05527
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.8/50.2185
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.2s
Info:Square Root: Total cpu/real time for sqrt: 53.47/17.3835
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 36837.8/10309.6
Info:root: Cleaning up computation data in /tmp/cado.lzmgiu2z
4072772950834696927256163032488083032546062781812190080413463675469135416538413 187897215725829666842971982602460744838673
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10150+449

c113

name 名前Eric Jeancolas
date 日付July 5, 2022 18:46:45 UTC 2022 年 7 月 6 日 (水) 3 時 46 分 45 秒 (日本時間)
composite number 合成数
10017188523467904694277528063919201880205515866165782506208362326506884077161609734953525118133865882450235627997<113>
prime factors 素因数
898986712994765213038719848121124576914098986501<48>
11142754813469901241897244763619865693531754016775126854338837497<65>
factorization results 素因数分解の結果
10017188523467904694277528063919201880205515866165782506208362326506884077161609734953525118133865882450235627997=898986712994765213038719848121124576914098986501*11142754813469901241897244763619865693531754016775126854338837497

cado polynomial
n: 10017188523467904694277528063919201880205515866165782506208362326506884077161609734953525118133865882450235627997
skew: 0.33
type: snfs
c0: 11
c4: 925
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 925*x^4+11
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2300000
tasks.lim1 = 2300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 11142754813469901241897244763619865693531754016775126854338837497 898986712994765213038719848121124576914098986501
Info:Square Root: Total cpu/real time for sqrt: 43.5/14.2625
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11639238
Info:Lattice Sieving: Average J: 1892.05 for 328672 special-q, max bucket fill -bkmult 1.0,1s:1.330070
Info:Lattice Sieving: Total time: 33068.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 72.01/20.454
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.07/48.2658
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100/82.9067
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.7s
Info:Filtering - Merging: Merged matrix has 269446 rows and total weight 45975059 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.49/15.1552
Info:Filtering - Merging: Total cpu/real time for replay: 8.22/6.87668
Info:Linear Algebra: Total cpu/real time for bwc: 954.61/248.23
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 573.27, WCT time 147.03, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 42.08, WCT time 10.67
Info:Linear Algebra: Mksol: CPU time 316.38,  WCT time 81.21, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/0.64646
Info:Quadratic Characters: Total cpu/real time for characters: 8.21/3.23689
Info:Square Root: Total cpu/real time for sqrt: 43.5/14.2625
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.39/78.5741
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 61886/17189.8
Info:root: Cleaning up computation data in /tmp/cado.tf2euibj
11142754813469901241897244763619865693531754016775126854338837497 898986712994765213038719848121124576914098986501
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10152+449

c150

name 名前Bob Backstrom
date 日付June 30, 2022 21:20:51 UTC 2022 年 7 月 1 日 (金) 6 時 20 分 51 秒 (日本時間)
composite number 合成数
111351871915252196942337787408209943421211026844829661731070181774407126519802576140604309618394125436378957505718069098350788491633562056097267364873<150>
prime factors 素因数
1414581793102365296285802209541502455472764101<46>
78717167475372907454735016961239311867290289985752411333255153085260803366524463562157910074081630035573<104>
factorization results 素因数分解の結果
Number: n
N=111351871915252196942337787408209943421211026844829661731070181774407126519802576140604309618394125436378957505718069098350788491633562056097267364873  ( 150 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Jul  1 06:22:49 2022  p46 factor: 1414581793102365296285802209541502455472764101
Fri Jul  1 06:22:49 2022  p104 factor: 78717167475372907454735016961239311867290289985752411333255153085260803366524463562157910074081630035573
Fri Jul  1 06:22:49 2022  elapsed time 00:06:59 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 37x10^152+44 = 41(151)6
#
n: 111351871915252196942337787408209943421211026844829661731070181774407126519802576140604309618394125436378957505718069098350788491633562056097267364873
m: 1000000000000000000000000000000
deg: 5
c5: 925
c0: 11
skew: 0.41
# Murphy_E = 1.009e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1222540 hash collisions in 14162556 relations (13882052 unique)
Msieve: matrix is 349366 x 349593 (117.0 MB)

Sieving start time : 2022/07/01 05:42:33
Sieving end time  : 2022/07/01 06:15:31

Total sieving time: 0hrs 32min 58secs.

Total relation processing time: 0hrs 2min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10153+449

c122

name 名前Eric Jeancolas
date 日付July 6, 2022 05:30:39 UTC 2022 年 7 月 6 日 (水) 14 時 30 分 39 秒 (日本時間)
composite number 合成数
81831329194156488201223321239652123281848981668485450849844095783606538512855306726690924510798511531110556929438536740517<122>
prime factors 素因数
32545063035955092916144677511310886265464235303337258696783<59>
2514400697388448057335230709425503040395976893890239433688273099<64>
factorization results 素因数分解の結果
81831329194156488201223321239652123281848981668485450849844095783606538512855306726690924510798511531110556929438536740517=32545063035955092916144677511310886265464235303337258696783*2514400697388448057335230709425503040395976893890239433688273099

cado polynomial
n: 81831329194156488201223321239652123281848981668485450849844095783606538512855306726690924510798511531110556929438536740517
skew: 0.59
type: snfs
c0: 22
c4: 185
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^4+22
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
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: 32545063035955092916144677511310886265464235303337258696783 2514400697388448057335230709425503040395976893890239433688273099
Info:Square Root: Total cpu/real time for sqrt: 59.53/49.8966
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.86/113.686
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11638911
Info:Lattice Sieving: Average J: 1892.37 for 386786 special-q, max bucket fill -bkmult 1.0,1s:1.311860
Info:Lattice Sieving: Total time: 65653.8s
Info:Linear Algebra: Total cpu/real time for bwc: 2088/2008.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1075.16, WCT time 1036.89, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11136 iterations)
Info:Linear Algebra: Lingen CPU time 381.47, WCT time 351.2
Info:Linear Algebra: Mksol: CPU time 598.5,  WCT time 589.79, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 73.22/50.2442
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.28/78.4789
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.2s
Info:Filtering - Merging: Merged matrix has 352455 rows and total weight 59966875 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.11/62.9411
Info:Filtering - Merging: Total cpu/real time for replay: 12.46/13.7966
Info:Generate Factor Base: Total cpu/real time for makefb: 1.31/1.69433
Info:Quadratic Characters: Total cpu/real time for characters: 11.33/9.74963
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.63/155.284
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 59.53/49.8966
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71700.5/35587
Info:root: Cleaning up computation data in /tmp/cado.crt4tmr3
32545063035955092916144677511310886265464235303337258696783 2514400697388448057335230709425503040395976893890239433688273099
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10154+449

c120

name 名前Eric Jeancolas
date 日付July 6, 2022 05:36:26 UTC 2022 年 7 月 6 日 (水) 14 時 36 分 26 秒 (日本時間)
composite number 合成数
110818233085151690613770782165219443599774442824853333011320731105444373978874448821701895106199123923978128003213678573<120>
prime factors 素因数
1105645531528082136489400099226788298534412512663163803<55>
100229440562196161495224181569306431372410684703124112881095757591<66>
factorization results 素因数分解の結果
110818233085151690613770782165219443599774442824853333011320731105444373978874448821701895106199123923978128003213678573=1105645531528082136489400099226788298534412512663163803*100229440562196161495224181569306431372410684703124112881095757591

cado polynomial
n: 110818233085151690613770782165219443599774442824853333011320731105444373978874448821701895106199123923978128003213678573
skew: 0.33
type: snfs
c0: 11
c4: 925
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 925*x^4+11
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2700000
tasks.lim1 = 2700000
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: 1105645531528082136489400099226788298534412512663163803 100229440562196161495224181569306431372410684703124112881095757591
Info:Square Root: Total cpu/real time for sqrt: 62.92/51.9096
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.44/92.113
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635856
Info:Lattice Sieving: Average J: 1891.9 for 392122 special-q, max bucket fill -bkmult 1.0,1s:1.304370
Info:Lattice Sieving: Total time: 60354.1s
Info:Linear Algebra: Total cpu/real time for bwc: 2290.85/2207.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1190.8, WCT time 1147.26, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11520 iterations)
Info:Linear Algebra: Lingen CPU time 411.08, WCT time 380.92
Info:Linear Algebra: Mksol: CPU time 653.99,  WCT time 645.65, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 73.39/49.7858
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.18/86.7829
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.6s
Info:Filtering - Merging: Merged matrix has 364542 rows and total weight 61980959 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 81.33/64.495
Info:Filtering - Merging: Total cpu/real time for replay: 12.87/14.2857
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/1.7663
Info:Quadratic Characters: Total cpu/real time for characters: 11.62/10.0163
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 110.5/144.193
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 135.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 62.92/51.9096
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 74300.4/33196.4
Info:root: Cleaning up computation data in /tmp/cado.ocvu_6t4
1105645531528082136489400099226788298534412512663163803 100229440562196161495224181569306431372410684703124112881095757591
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10156+449

c156

name 名前Bob Backstrom
date 日付June 30, 2022 17:07:29 UTC 2022 年 7 月 1 日 (金) 2 時 7 分 29 秒 (日本時間)
composite number 合成数
342592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<156>
prime factors 素因数
4819904052664005046639555696429263661<37>
71078716266818326756759294796332302509095071127427656336199827260112625030442695470927322843122886285740297567622265013<119>
factorization results 素因数分解の結果
Number: n
N=342592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593  ( 156 digits)
SNFS difficulty: 157 digits.
Divisors found:

Fri Jul  1 02:43:09 2022  p37 factor: 4819904052664005046639555696429263661
Fri Jul  1 02:43:09 2022  p119 factor: 71078716266818326756759294796332302509095071127427656336199827260112625030442695470927322843122886285740297567622265013
Fri Jul  1 02:43:09 2022  elapsed time 00:07:02 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 37x10^156+44 = 41(155)6
#
n: 342592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
m: 10000000000000000000000000000000
deg: 5
c5: 185
c0: 22
skew: 0.65
# Murphy_E = 7.122e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1302133 hash collisions in 12635823 relations (12095770 unique)
Msieve: matrix is 369233 x 369465 (126.0 MB)

Sieving start time : 2022/07/01 02:32:52
Sieving end time  : 2022/07/01 02:35:31

Total sieving time: 0hrs 2min 39secs.

Total relation processing time: 0hrs 2min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10157+449

c114

name 名前Eric Jeancolas
date 日付July 6, 2022 18:55:08 UTC 2022 年 7 月 7 日 (木) 3 時 55 分 8 秒 (日本時間)
composite number 合成数
249079197625818533289138533641869546619567492194004746935275188415258744900274595144993314855847399915684131178713<114>
prime factors 素因数
11979628818339391228876339650712128103104428270571458177<56>
20791896093183439577535317980704633672295899179715864788569<59>
factorization results 素因数分解の結果
249079197625818533289138533641869546619567492194004746935275188415258744900274595144993314855847399915684131178713=11979628818339391228876339650712128103104428270571458177*20791896093183439577535317980704633672295899179715864788569

cado polynomial
n: 249079197625818533289138533641869546619567492194004746935275188415258744900274595144993314855847399915684131178713
skew: 0.41
type: snfs
c0: 11
c5: 925
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 925*x^5+11
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
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: 11979628818339391228876339650712128103104428270571458177 20791896093183439577535317980704633672295899179715864788569
Info:Square Root: Total cpu/real time for sqrt: 63.66/20.1098
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.69/74.955
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11664097
Info:Lattice Sieving: Average J: 1895.01 for 256328 special-q, max bucket fill -bkmult 1.0,1s:1.236840
Info:Lattice Sieving: Total time: 30441.8s
Info:Linear Algebra: Total cpu/real time for bwc: 1539.75/397.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 942.96, WCT time 240.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10624 iterations)
Info:Linear Algebra: Lingen CPU time 50.82, WCT time 12.97
Info:Linear Algebra: Mksol: CPU time 517.31,  WCT time 132.11, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.64/48.0197
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.28/84.9964
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.5s
Info:Filtering - Merging: Merged matrix has 337194 rows and total weight 57410045 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.32/19.0483
Info:Filtering - Merging: Total cpu/real time for replay: 10.37/8.65582
Info:Generate Factor Base: Total cpu/real time for makefb: 1.32/0.722103
Info:Quadratic Characters: Total cpu/real time for characters: 10.41/4.10437
Info:Square Root: Total cpu/real time for sqrt: 63.66/20.1098
Info:Generate Free Relations: Total cpu/real time for freerel: 59.58/16.8201
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57662.7/16072.2
Info:root: Cleaning up computation data in /tmp/cado.h87emaut
11979628818339391228876339650712128103104428270571458177 20791896093183439577535317980704633672295899179715864788569
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10158+449

c137

name 名前Eric Jeancolas
date 日付July 7, 2022 03:18:11 UTC 2022 年 7 月 7 日 (木) 12 時 18 分 11 秒 (日本時間)
composite number 合成数
76857844055310134375143498260518454510710630681707166898936190624246465221909216838039303627511471700712959556025983068231408785076153313<137>
prime factors 素因数
41614387633725205496386508419027894262081284923195578279078987260967<68>
1846905563810888922061217210655566822023181694409000631695523515206839<70>
factorization results 素因数分解の結果
76857844055310134375143498260518454510710630681707166898936190624246465221909216838039303627511471700712959556025983068231408785076153313=41614387633725205496386508419027894262081284923195578279078987260967*1846905563810888922061217210655566822023181694409000631695523515206839

cado polynomial
n: 76857844055310134375143498260518454510710630681707166898936190624246465221909216838039303627511471700712959556025983068231408785076153313
skew: 0.33
type: snfs
c0: 11
c4: 925
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 925*x^4+11
# g(x) = -x+1000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 1846905563810888922061217210655566822023181694409000631695523515206839 41614387633725205496386508419027894262081284923195578279078987260967
Info:Square Root: Total cpu/real time for sqrt: 141.42/116.187
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.8/78.543
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634891
Info:Lattice Sieving: Average J: 1891.63 for 563030 special-q, max bucket fill -bkmult 1.0,1s:1.298310
Info:Lattice Sieving: Total time: 61563.9s
Info:Linear Algebra: Total cpu/real time for bwc: 3568.93/3361.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1897.78, WCT time 1775.33, iteration CPU time 0.09, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (14208 iterations)
Info:Linear Algebra: Lingen CPU time 600.37, WCT time 573.3
Info:Linear Algebra: Mksol: CPU time 1028.04,  WCT time 985.48, iteration CPU time 0.11, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (7040 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 72.27/20.8204
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.39/86.961
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.97/135.365
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 122.9s
Info:Filtering - Merging: Merged matrix has 450134 rows and total weight 76711124 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 92.17/52.4223
Info:Filtering - Merging: Total cpu/real time for replay: 15.14/15.5753
Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/0.845618
Info:Quadratic Characters: Total cpu/real time for characters: 14.42/12.6324
Info:Square Root: Total cpu/real time for sqrt: 141.42/116.187
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 107585/34960.1
Info:root: Cleaning up computation data in /tmp/cado.hkn_fe68
1846905563810888922061217210655566822023181694409000631695523515206839 41614387633725205496386508419027894262081284923195578279078987260967
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10161+449

c152

name 名前Bob Backstrom
date 日付July 1, 2022 22:53:56 UTC 2022 年 7 月 2 日 (土) 7 時 53 分 56 秒 (日本時間)
composite number 合成数
36915668283625178148674621317206015581159579039721891189148199081700051301991557334063696221413630762804051312801422819442993793373201171953986668882729<152>
prime factors 素因数
79640500677034399941234637195092361<35>
463528832312707897468992002566746458634196831016302428034265590795716295057097540147801197890776896351372378235286689<117>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 36915668283625178148674621317206015581159579039721891189148199081700051301991557334063696221413630762804051312801422819442993793373201171953986668882729 (152 digits)
Using B1=16310000, B2=58558792120, polynomial Dickson(12), sigma=1:4233442001
Step 1 took 31875ms
********** Factor found in step 1: 79640500677034399941234637195092361
Found prime factor of 35 digits: 79640500677034399941234637195092361
Prime cofactor 463528832312707897468992002566746458634196831016302428034265590795716295057097540147801197890776896351372378235286689 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10164+449

c138

name 名前Bob Backstrom
date 日付July 2, 2022 19:11:09 UTC 2022 年 7 月 3 日 (日) 4 時 11 分 9 秒 (日本時間)
composite number 合成数
598165898184210983296561941899104958730207396449884904443953566996566998037185138505122082933595599307209037896399284547033612549100274041<138>
prime factors 素因数
454050411976070949962170325268704440985257776643110307621781131<63>
1317399747708488166241995491461906041070447564446410129302637753676158313611<76>
factorization results 素因数分解の結果
Number: n
N=598165898184210983296561941899104958730207396449884904443953566996566998037185138505122082933595599307209037896399284547033612549100274041  ( 138 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Jul  3 05:07:44 2022  p63 factor: 454050411976070949962170325268704440985257776643110307621781131
Sun Jul  3 05:07:44 2022  p76 factor: 1317399747708488166241995491461906041070447564446410129302637753676158313611
Sun Jul  3 05:07:44 2022  elapsed time 00:08:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 37x10^164+44 = 41(163)6
#
n: 598165898184210983296561941899104958730207396449884904443953566996566998037185138505122082933595599307209037896399284547033612549100274041
m: 500000000000000000000000000000000
deg: 5
c5: 148
c0: 55
skew: 0.82
# Murphy_E = 3.321e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1502284 hash collisions in 14355252 relations (13746078 unique)
Msieve: matrix is 566032 x 566264 (192.6 MB)

Sieving start time : 2022/07/03 03:50:07
Sieving end time  : 2022/07/03 04:58:48

Total sieving time: 1hrs 8min 41secs.

Total relation processing time: 0hrs 4min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10165+449

c127

name 名前Eric Jeancolas
date 日付July 8, 2022 02:16:07 UTC 2022 年 7 月 8 日 (金) 11 時 16 分 7 秒 (日本時間)
composite number 合成数
1788834045431057853394679284639194305133313222349523381993021910904203329186752056303690093404413627699609848143537083678469301<127>
prime factors 素因数
82322615970384740713194935881889821757459251360476591408677<59>
21729557841973636297859592130764404599189505805532991132283960434513<68>
factorization results 素因数分解の結果
1788834045431057853394679284639194305133313222349523381993021910904203329186752056303690093404413627699609848143537083678469301=82322615970384740713194935881889821757459251360476591408677*21729557841973636297859592130764404599189505805532991132283960434513

cado polynomial
n: 1788834045431057853394679284639194305133313222349523381993021910904203329186752056303690093404413627699609848143537083678469301
skew: 1.04
type: snfs
c0: 44
c5: 37
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+44
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4200000
tasks.lim1 = 4200000
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: 82322615970384740713194935881889821757459251360476591408677 21729557841973636297859592130764404599189505805532991132283960434513
Info:Square Root: Total cpu/real time for sqrt: 120.2/38.9431
Info:Quadratic Characters: Total cpu/real time for characters: 19.03/7.53787
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.36/90.0169
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.8s
Info:Square Root: Total cpu/real time for sqrt: 120.2/38.9431
Info:Linear Algebra: Total cpu/real time for bwc: 5264.1/1352.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3287.75, WCT time 839.78, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18432 iterations)
Info:Linear Algebra: Lingen CPU time 100.56, WCT time 25.52
Info:Linear Algebra: Mksol: CPU time 1786.76,  WCT time 455.62, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.98/60.5143
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11625457
Info:Lattice Sieving: Average J: 1893.33 for 415314 special-q, max bucket fill -bkmult 1.0,1s:1.244220
Info:Lattice Sieving: Total time: 51021.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.51/17.0116
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.26/50.2073
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.1s
Info:Filtering - Merging: Merged matrix has 585121 rows and total weight 99692542 (170.4 entries per row on average)Info:Square Root: Factors: 82322615970384740713194935
Info:Filtering - Merging: Total cpu/real time for merge: 124.39/34.9364
Info:Filtering - Merging: Total cpu/real time for replay: 19.46/16.3096
Info:Generate Factor Base: Total cpu/real time for makefb: 1.8/0.993456
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 99771.1/27390.8
Info:root: Cleaning up computation data in /tmp/cado.sas85t6k
82322615970384740713194935881889821757459251360476591408677 21729557841973636297859592130764404599189505805532991132283960434513
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10169+449

c135

name 名前Bob Backstrom
date 日付July 3, 2022 05:12:17 UTC 2022 年 7 月 3 日 (日) 14 時 12 分 17 秒 (日本時間)
composite number 合成数
257921959414164923789249630542239765353073532161812482545342282042348409331007935328833442611462847314214268328228358228364832727903709<135>
prime factors 素因数
383480751571869608278711140795714533503<39>
672581240015189585164219530138202824131302296978180784117307025609240383105726347717853510634403<96>
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 257921959414164923789249630542239765353073532161812482545342282042348409331007935328833442611462847314214268328228358228364832727903709 (135 digits)
Using B1=17100000, B2=58559441860, polynomial Dickson(12), sigma=1:3471706144
Step 1 took 27164ms
Step 2 took 12353ms
********** Factor found in step 2: 383480751571869608278711140795714533503
Found prime factor of 39 digits: 383480751571869608278711140795714533503
Prime cofactor 672581240015189585164219530138202824131302296978180784117307025609240383105726347717853510634403 has 96 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10170+449

c136

name 名前Bob Backstrom
date 日付July 3, 2022 04:03:18 UTC 2022 年 7 月 3 日 (日) 13 時 3 分 18 秒 (日本時間)
composite number 合成数
6562554865743249306166203260129716117980840264934749476309824015854321648884361439430691143364722952791950063183726268374134819223971037<136>
prime factors 素因数
2853940922398561089062303522970307219<37>
2299471167829159980505316969423901403815794664893772425298889897129634224945095220465414393896995023<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 6562554865743249306166203260129716117980840264934749476309824015854321648884361439430691143364722952791950063183726268374134819223971037 (136 digits)
Using B1=16940000, B2=58559441860, polynomial Dickson(12), sigma=1:450345736
Step 1 took 33051ms
Step 2 took 13892ms
********** Factor found in step 2: 2853940922398561089062303522970307219
Found prime factor of 37 digits: 2853940922398561089062303522970307219
Prime cofactor 2299471167829159980505316969423901403815794664893772425298889897129634224945095220465414393896995023 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10172+449

c173

name 名前Bob Backstrom
date 日付July 8, 2022 10:35:47 UTC 2022 年 7 月 8 日 (金) 19 時 35 分 47 秒 (日本時間)
composite number 合成数
10277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<173>
prime factors 素因数
2231366249575472265028229028821876096804582934281745151<55>
4606046981186155553743944892677096868385456982313453618423780111222109835922842949849738689117916611491395779512908429<118>
factorization results 素因数分解の結果
Number: n
N=10277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779  ( 173 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jul  8 20:31:54 2022  p55 factor: 2231366249575472265028229028821876096804582934281745151
Fri Jul  8 20:31:54 2022  p118 factor: 4606046981186155553743944892677096868385456982313453618423780111222109835922842949849738689117916611491395779512908429
Fri Jul  8 20:31:54 2022  elapsed time 00:17:43 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 37x10^172+44 = 41(171)6
#
n: 10277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 10000000000000000000000000000000000
deg: 5
c5: 925
c0: 11
skew: 0.41
# Murphy_E = 1.679e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1314377 hash collisions in 11719761 relations (11083339 unique)
Msieve: matrix is 859590 x 859815 (299.2 MB)

Sieving start time : 2022/07/08 19:16:42
Sieving end time  : 2022/07/08 20:10:06

Total sieving time: 0hrs 53min 24secs.

Total relation processing time: 0hrs 11min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10173+449

c164

name 名前Bob Backstrom
date 日付July 6, 2022 22:35:20 UTC 2022 年 7 月 7 日 (木) 7 時 35 分 20 秒 (日本時間)
composite number 合成数
87414287761741638028118200129083346260512589787369501301837031395674862174126378345429927070487470036795498381685918643397826599738594820746750902378141448639327497<164>
prime factors 素因数
1252481950029100642997346241893689562904259135682287651261<58>
69792852311932017183339173234669325297495686377848572293826936484474569356626535574464794534624038239516477<107>
factorization results 素因数分解の結果
Number: n
N=87414287761741638028118200129083346260512589787369501301837031395674862174126378345429927070487470036795498381685918643397826599738594820746750902378141448639327497  ( 164 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Jul  7 08:31:47 2022  p58 factor: 1252481950029100642997346241893689562904259135682287651261
Thu Jul  7 08:31:47 2022  p107 factor: 69792852311932017183339173234669325297495686377848572293826936484474569356626535574464794534624038239516477
Thu Jul  7 08:31:47 2022  elapsed time 00:27:24 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 37x10^173+44 = 41(172)6
#
n: 87414287761741638028118200129083346260512589787369501301837031395674862174126378345429927070487470036795498381685918643397826599738594820746750902378141448639327497
m: 10000000000000000000000000000000000
deg: 5
c5: 9250
c0: 11
skew: 0.26
# Murphy_E = 1.201e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1423494 hash collisions in 12362089 relations (11646971 unique)
Msieve: matrix is 1027134 x 1027359 (355.6 MB)

Sieving start time : 2022/07/07 06:01:39
Sieving end time  : 2022/07/07 08:04:04

Total sieving time: 2hrs 2min 25secs.

Total relation processing time: 0hrs 17min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 57sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10174+449

c150

name 名前Bob Backstrom
date 日付July 11, 2022 17:39:21 UTC 2022 年 7 月 12 日 (火) 2 時 39 分 21 秒 (日本時間)
composite number 合成数
154365593889155155662717939715907579938041042477107580383158922054831485777487593157759755408866617021406263724341535565644203814419698344877694035877<150>
prime factors 素因数
3844339131814646211710928103460511130263420907<46>
40154000101518060268907121407455076676995531076059863499880057588349486473927074481656952225380129153711<104>
factorization results 素因数分解の結果
Number: n
N=154365593889155155662717939715907579938041042477107580383158922054831485777487593157759755408866617021406263724341535565644203814419698344877694035877  ( 150 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jul 12 03:33:10 2022  p46 factor: 3844339131814646211710928103460511130263420907
Tue Jul 12 03:33:10 2022  p104 factor: 40154000101518060268907121407455076676995531076059863499880057588349486473927074481656952225380129153711
Tue Jul 12 03:33:10 2022  elapsed time 00:17:25 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 37x10^174+44 = 41(173)6
#
n: 154365593889155155662717939715907579938041042477107580383158922054831485777487593157759755408866617021406263724341535565644203814419698344877694035877
m: 50000000000000000000000000000000000
deg: 5
c5: 148
c0: 55
skew: 0.82
# Murphy_E = 1.334e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1444126 hash collisions in 12183719 relations (11428413 unique)
Msieve: matrix is 889084 x 889309 (309.0 MB)

Sieving start time : 2022/07/12 02:35:22
Sieving end time  : 2022/07/12 03:15:27

Total sieving time: 0hrs 40min 5secs.

Total relation processing time: 0hrs 12min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 6sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10175+449

c145

name 名前Bob Backstrom
date 日付July 11, 2022 19:09:46 UTC 2022 年 7 月 12 日 (火) 4 時 9 分 46 秒 (日本時間)
composite number 合成数
8577457057814927847180609658975648408434230451138962542462693579714574589915490915884227568008569037405183031997137769171511960072987102980004453<145>
prime factors 素因数
1700808781916414845988739973124659925008182970789<49>
5043163669551455467028544149160713385318931980878168217234182078760995998052488680740238953853377<97>
factorization results 素因数分解の結果
Number: n
N=8577457057814927847180609658975648408434230451138962542462693579714574589915490915884227568008569037405183031997137769171511960072987102980004453  ( 145 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Jul 12 05:03:49 2022  p49 factor: 1700808781916414845988739973124659925008182970789
Tue Jul 12 05:03:49 2022  p97 factor: 5043163669551455467028544149160713385318931980878168217234182078760995998052488680740238953853377
Tue Jul 12 05:03:49 2022  elapsed time 00:30:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 37x10^175+44 = 41(174)6
#
n: 8577457057814927847180609658975648408434230451138962542462693579714574589915490915884227568008569037405183031997137769171511960072987102980004453
m: 100000000000000000000000000000000000
deg: 5
c5: 37
c0: 44
skew: 1.04
# Murphy_E = 1.183e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 8650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1400462 hash collisions in 11828892 relations (11093371 unique)
Msieve: matrix is 1186636 x 1186861 (413.5 MB)

Sieving start time : 2022/07/12 03:34:54
Sieving end time  : 2022/07/12 04:32:53

Total sieving time: 0hrs 57min 59secs.

Total relation processing time: 0hrs 24min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10177+449

c131

name 名前Eric Jeancolas
date 日付July 13, 2022 04:05:13 UTC 2022 年 7 月 13 日 (水) 13 時 5 分 13 秒 (日本時間)
composite number 合成数
98128682317696186368871378324318629106595773667216506297207451122698494949763469861158285254222820492330514242055229109950997571803<131>
prime factors 素因数
77862392020260103848993483900015199231282848391439647893389<59>
1260283427873147195901661062117293258491735038165456553402748162380702727<73>
factorization results 素因数分解の結果
98128682317696186368871378324318629106595773667216506297207451122698494949763469861158285254222820492330514242055229109950997571803=77862392020260103848993483900015199231282848391439647893389*1260283427873147195901661062117293258491735038165456553402748162380702727

cado polynomial
n: 98128682317696186368871378324318629106595773667216506297207451122698494949763469861158285254222820492330514242055229109950997571803
skew: 0.41
type: snfs
c0: 11
c5: 925
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 925*x^5+11
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
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: 1260283427873147195901661062117293258491735038165456553402748162380702727 77862392020260103848993483900015199231282848391439647893389
Info:Square Root: Total cpu/real time for sqrt: 227.77/70.5453
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.61/125.41
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416172
Info:Lattice Sieving: Average J: 1894.88 for 864974 special-q, max bucket fill -bkmult 1.0,1s:1.177270
Info:Lattice Sieving: Total time: 139117s
Info:Linear Algebra: Total cpu/real time for bwc: 14531.1/3735.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9198.18, WCT time 2355.86, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Linear Algebra: Lingen CPU time 171.73, WCT time 43.73
Info:Linear Algebra: Mksol: CPU time 5006.16,  WCT time 1279.37, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.67/32.3524
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.53/102.132
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.0s
Info:Filtering - Merging: Merged matrix has 965429 rows and total weight 164459628 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 225.74/62.9993
Info:Filtering - Merging: Total cpu/real time for replay: 33.79/28.3054
Info:Generate Factor Base: Total cpu/real time for makefb: 2.84/1.69272
Info:Quadratic Characters: Total cpu/real time for characters: 32.23/12.7276
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.18/177.895
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.0s
Info:Square Root: Total cpu/real time for sqrt: 227.77/70.5453
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 274319/74189.2
Info:root: Cleaning up computation data in /tmp/cado.14o7ulwf
1260283427873147195901661062117293258491735038165456553402748162380702727 77862392020260103848993483900015199231282848391439647893389
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 12, 2022 13:24:29 UTC 2022 年 7 月 12 日 (火) 22 時 24 分 29 秒 (日本時間)

37×10178+449

c174

name 名前Bob Backstrom
date 日付July 8, 2022 23:04:28 UTC 2022 年 7 月 9 日 (土) 8 時 4 分 28 秒 (日本時間)
composite number 合成数
595847746407199129096050656720840499610283365863399488537177678577179997552193041786641415605413518336006596195592659155764263306729536655909199245044801308932562918301221971<174>
prime factors 素因数
13003607863211797147664449587742872304147<41>
54309416217087724723024465371674530789727501068799<50>
843716033315168143942860214352125108188227477858619531241949545591444297280303628607<84>
factorization results 素因数分解の結果
Number: n
N=595847746407199129096050656720840499610283365863399488537177678577179997552193041786641415605413518336006596195592659155764263306729536655909199245044801308932562918301221971  ( 174 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Jul  9 08:56:24 2022  found factor: 54309416217087724723024465371674530789727501068799
Sat Jul  9 08:58:27 2022  p41 factor: 13003607863211797147664449587742872304147
Sat Jul  9 08:58:27 2022  p50 factor: 54309416217087724723024465371674530789727501068799
Sat Jul  9 08:58:27 2022  p84 factor: 843716033315168143942860214352125108188227477858619531241949545591444297280303628607
Sat Jul  9 08:58:27 2022  elapsed time 00:43:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 37x10^178+44 = 41(177)6
#
n: 595847746407199129096050656720840499610283365863399488537177678577179997552193041786641415605413518336006596195592659155764263306729536655909199245044801308932562918301221971
m: 100000000000000000000000000000000000
deg: 5
c5: 9250
c0: 11
skew: 0.26
# Murphy_E = 7.576e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 23350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1404406 hash collisions in 11491453 relations (10721833 unique)
Msieve: matrix is 1395481 x 1395707 (485.9 MB)

Sieving start time : 2022/07/09 05:23:10
Sieving end time  : 2022/07/09 08:14:33

Total sieving time: 2hrs 51min 23secs.

Total relation processing time: 0hrs 36min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 7sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10180+449

c135

name 名前Ignacio Santos
date 日付July 12, 2022 12:18:44 UTC 2022 年 7 月 12 日 (火) 21 時 18 分 44 秒 (日本時間)
composite number 合成数
430793872793132633001537328221382521700680887409377544558434367700596931689823359593164490266038728372247387137235003036760611294001379<135>
prime factors 素因数
3471786500491650975779856115772359841<37>
124084206425748389721962753198683076293771514105966884760293624503260975559263819290412485636508419<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1540287405
Step 1 took 4938ms
Step 2 took 3172ms
********** Factor found in step 2: 3471786500491650975779856115772359841
Found prime factor of 37 digits: 3471786500491650975779856115772359841
Prime cofactor 124084206425748389721962753198683076293771514105966884760293624503260975559263819290412485636508419 has 99 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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10181+449

c150

name 名前Bob Backstrom
date 日付August 2, 2022 23:19:53 UTC 2022 年 8 月 3 日 (水) 8 時 19 分 53 秒 (日本時間)
composite number 合成数
221195367354939495267149665332745693036434602161442798211849410032144348255091877121361960661464154296699350517216782998528391608135759772207269103699<150>
prime factors 素因数
767146982921629013574059901780561019349041<42>
288335054792930858638922841351659182940007475056928723054291824714813820173497483506015192654755554864307139<108>
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 221195367354939495267149665332745693036434602161442798211849410032144348255091877121361960661464154296699350517216782998528391608135759772207269103699 (150 digits)
Using B1=17840000, B2=58560416470, polynomial Dickson(12), sigma=1:3918730465
Step 1 took 33784ms
Step 2 took 4762ms
********** Factor found in step 2: 767146982921629013574059901780561019349041
Found prime factor of 42 digits: 767146982921629013574059901780561019349041
Prime cofactor 288335054792930858638922841351659182940007475056928723054291824714813820173497483506015192654755554864307139 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 12, 2022 10:55:54 UTC 2022 年 7 月 12 日 (火) 19 時 55 分 54 秒 (日本時間)

37×10182+449

c168

name 名前Bob Backstrom
date 日付July 14, 2022 06:38:58 UTC 2022 年 7 月 14 日 (木) 15 時 38 分 58 秒 (日本時間)
composite number 合成数
309622293902243958701449109493176234810716733041304106225175815795537292046579711649378445864292466854763849712267323148979728790055949343293803905991647681825137229261<168>
prime factors 素因数
6103727296359498860210118039496012846717365356059305643<55>
50726757417048231642992642447511542611033787709472052680271594190857760395963981246317934918666134697919883988327<113>
factorization results 素因数分解の結果
Number: n
N=309622293902243958701449109493176234810716733041304106225175815795537292046579711649378445864292466854763849712267323148979728790055949343293803905991647681825137229261  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Jul 14 16:33:07 2022  p55 factor: 6103727296359498860210118039496012846717365356059305643
Thu Jul 14 16:33:07 2022  p113 factor: 50726757417048231642992642447511542611033787709472052680271594190857760395963981246317934918666134697919883988327
Thu Jul 14 16:33:07 2022  elapsed time 00:26:47 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 37x10^182+44 = 41(181)6
#
n: 309622293902243958701449109493176234810716733041304106225175815795537292046579711649378445864292466854763849712267323148979728790055949343293803905991647681825137229261
m: 1000000000000000000000000000000000000
deg: 5
c5: 925
c0: 11
skew: 0.41
# Murphy_E = 6.655e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3121484 hash collisions in 28948836 relations (27578322 unique)
Msieve: matrix is 967183 x 967409 (330.5 MB)

Sieving start time : 2022/07/14 09:22:00
Sieving end time  : 2022/07/14 16:05:08

Total sieving time: 6hrs 43min 8secs.

Total relation processing time: 0hrs 14min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 15sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 10, 2022 11:37:14 UTC 2022 年 7 月 10 日 (日) 20 時 37 分 14 秒 (日本時間)

37×10183+449

c182

name 名前Bob Backstrom
date 日付July 7, 2022 05:18:45 UTC 2022 年 7 月 7 日 (木) 14 時 18 分 45 秒 (日本時間)
composite number 合成数
48941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<182>
prime factors 素因数
3513225240010921593879782808951025578065442461<46>
13930731905377861853976413131132627869031697575819467930225678502830181981430150077935781609444218732227128705040151968797757782682760659<137>
factorization results 素因数分解の結果
Number: n
N=48941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799  ( 182 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Jul  7 15:09:46 2022  p46 factor: 3513225240010921593879782808951025578065442461
Thu Jul  7 15:09:46 2022  p137 factor: 13930731905377861853976413131132627869031697575819467930225678502830181981430150077935781609444218732227128705040151968797757782682760659
Thu Jul  7 15:09:46 2022  elapsed time 00:27:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 37x10^183+44 = 41(182)6
#
n: 48941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799
m: 1000000000000000000000000000000000000
deg: 5
c5: 9250
c0: 11
skew: 0.26
# Murphy_E = 4.757e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3708540 hash collisions in 29123314 relations (27015700 unique)
Msieve: matrix is 1033010 x 1033235 (355.5 MB)

Sieving start time : 2022/07/07 10:15:26
Sieving end time  : 2022/07/07 14:41:56

Total sieving time: 4hrs 26min 30secs.

Total relation processing time: 0hrs 17min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10186+449

c156

name 名前Bob Backstrom
date 日付October 12, 2022 16:08:59 UTC 2022 年 10 月 13 日 (木) 1 時 8 分 59 秒 (日本時間)
composite number 合成数
529750063179252807889237678057278984902654513019552746984324617097980024318426495230314745335935178121419680443540984723860300141469207046011034392222433433<156>
prime factors 素因数
7352728514810482743705123775777404087815896524267096951629<58>
72048092366280868276526465029935008822874796124689757380535374663841918855456412828105502079102077<98>
factorization results 素因数分解の結果
Number: n
N=5297500631792528078892376780572789849026545130195527469843246170979800243184264952303147453359351781214196804435409847238603001414692070460110343922224334338015  ( 156 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Oct 13 00:26:48 2022  p58 factor: 7352728514810482743705123775777404087815896524267096951629
Thu Oct 13 00:26:48 2022  p98 factor: 72048092366280868276526465029935008822874796124689757380535374663841918855456412828105502079102077
Thu Oct 13 00:26:48 2022  elapsed time 00:51:03 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 37x10^186+44 = 41(185)6
#
n: 529750063179252807889237678057278984902654513019552746984324617097980024318426495230314745335935178121419680443540984723860300141469207046011034392222433433
m: 10000000000000000000000000000000000000
deg: 5
c5: 185
c0: 22
skew: 0.65
# Murphy_E = 4.578e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1285721 hash collisions in 12298005 relations (11753481 unique)
Msieve: matrix is 1455022 x 1455248 (512.2 MB)

Sieving start time : 2022/10/12 20:32:07
Sieving end time  : 2022/10/12 23:35:29

Total sieving time: 3hrs 3min 22secs.

Total relation processing time: 0hrs 38min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 29sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,27,27,53,53,2.5,2.5,100000
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 10, 2022 09:51:24 UTC 2022 年 7 月 10 日 (日) 18 時 51 分 24 秒 (日本時間)

37×10188+449

c187

name 名前Bob Backstrom
date 日付July 10, 2022 01:17:31 UTC 2022 年 7 月 10 日 (日) 10 時 17 分 31 秒 (日本時間)
composite number 合成数
7905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905983<187>
prime factors 素因数
16383261941808530520453529021044890754904974277564752811451317512221897<71>
482564640305700508309241153341250037768844307395838360438262397342008091408417383650328022299227998541645457824716039<117>
factorization results 素因数分解の結果
Number: n
N=7905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905983  ( 187 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Jul 10 11:13:04 2022  p71 factor: 16383261941808530520453529021044890754904974277564752811451317512221897
Sun Jul 10 11:13:04 2022  p117 factor: 482564640305700508309241153341250037768844307395838360438262397342008091408417383650328022299227998541645457824716039
Sun Jul 10 11:13:04 2022  elapsed time 00:39:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 37x10^188+44 = 41(187)6
#
n: 7905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905982905983
m: 10000000000000000000000000000000000000
deg: 5
c5: 9250
c0: 11
skew: 0.26
# Murphy_E = 2.974e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3651420 hash collisions in 28716505 relations (26636772 unique)
Msieve: matrix is 1306445 x 1306672 (454.4 MB)

Sieving start time : 2022/07/10 04:54:03
Sieving end time  : 2022/07/10 10:25:16

Total sieving time: 5hrs 31min 13secs.

Total relation processing time: 0hrs 29min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10190+449

c138

name 名前Ignacio Santos
date 日付July 9, 2022 22:14:10 UTC 2022 年 7 月 10 日 (日) 7 時 14 分 10 秒 (日本時間)
composite number 合成数
163152773854294511303215876423998899068601234566137482157377136985996592336048487470607134000444132494044116179280442800135360253343320331<138>
prime factors 素因数
1285553416513628787581855132215803365771<40>
126912481238437009011621294745659448026602267495992945775552903780915690792773810577297896112287361<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2710054582
Step 1 took 5953ms
Step 2 took 3344ms
********** Factor found in step 2: 1285553416513628787581855132215803365771
Found prime factor of 40 digits: 1285553416513628787581855132215803365771
Prime cofactor 126912481238437009011621294745659448026602267495992945775552903780915690792773810577297896112287361 has 99 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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10192+449

c125

name 名前ebina
date 日付June 30, 2022 10:09:18 UTC 2022 年 6 月 30 日 (木) 19 時 9 分 18 秒 (日本時間)
composite number 合成数
80688791773183495487519056135223861160910445034022648678538999836879525910048145745815621744758139154350106941378103565206873<125>
prime factors 素因数
2798003669792498390362446256917645903597708476222753927<55>
28837986398769599928355215456932345064662913645367721084910142124570399<71>
factorization results 素因数分解の結果
Number: 41116_192
N = 80688791773183495487519056135223861160910445034022648678538999836879525910048145745815621744758139154350106941378103565206873 (125 digits)
Divisors found:
r1=2798003669792498390362446256917645903597708476222753927 (pp55)
r2=28837986398769599928355215456932345064662913645367721084910142124570399 (pp71)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 6.69 hours.
Factorization parameters were as follows:
n: 80688791773183495487519056135223861160910445034022648678538999836879525910048145745815621744758139154350106941378103565206873
# norm 5.885021e-12 alpha -6.273942 e 1.491e-10 rroots 5
skew: 1186372.71
c0: -81958821939388709510682771817715
c1: 82796793794409150754822803
c2: 829212067435118401837
c3: -170218897473765
c4: -656056196
c5: 36
Y0: -4678459951993388141401326
Y1: 2287350551527
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11186516
Relations: 1697772 relations
Pruned matrix : 975259 x 975500
Polynomial selection time: 0.08 hours.
Total sieving time: 6.13 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.35 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 6.69 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
processors: 8, speed: 2.81GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10193+449

c194

name 名前Bob Backstrom
date 日付July 15, 2022 02:31:41 UTC 2022 年 7 月 15 日 (金) 11 時 31 分 41 秒 (日本時間)
composite number 合成数
10277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<194>
prime factors 素因数
115997722501162558065921085002078148731214909896219120193509465764041276680184777636939<87>
88603272169199454144890420263535259360787948753941568090607989641457823557029844482112211531526618290845561<107>
factorization results 素因数分解の結果
Number: n
N=10277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779  ( 194 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Jul 15 12:23:52 2022  p87 factor: 115997722501162558065921085002078148731214909896219120193509465764041276680184777636939
Fri Jul 15 12:23:52 2022  p107 factor: 88603272169199454144890420263535259360787948753941568090607989641457823557029844482112211531526618290845561
Fri Jul 15 12:23:52 2022  elapsed time 01:12:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 37x10^193+44 = 41(192)6
#
n: 10277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 100000000000000000000000000000000000000
deg: 5
c5: 9250
c0: 11
skew: 0.26
# Murphy_E = 1.851e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3685207 hash collisions in 28223329 relations (26043002 unique)
Msieve: matrix is 1729486 x 1729711 (602.4 MB)

Sieving start time : 2022/07/15 03:46:28
Sieving end time  : 2022/07/15 11:11:00

Total sieving time: 7hrs 24min 32secs.

Total relation processing time: 0hrs 59min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 1sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10194+449

c181

name 名前Ignacio Santos
date 日付July 19, 2022 11:02:39 UTC 2022 年 7 月 19 日 (火) 20 時 2 分 39 秒 (日本時間)
composite number 合成数
6930897264699824085556472008015426254670609831650759836011122247555666713019110955969512643505346994125740139691935686716298849824605100363194136975626933543830982787010182685264203<181>
prime factors 素因数
18010487545622149987263168444577591849<38>
384825632684470720311268942446873100181869055783061728042493449558044506406973641822165929212320685214810098055608264401816927351533900805297747<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3530045984
Step 1 took 8593ms
Step 2 took 4313ms
********** Factor found in step 2: 18010487545622149987263168444577591849
Found prime factor of 38 digits: 18010487545622149987263168444577591849
Prime cofactor 384825632684470720311268942446873100181869055783061728042493449558044506406973641822165929212320685214810098055608264401816927351533900805297747 has 144 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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10195+449

c194

name 名前Bob Backstrom
date 日付July 23, 2022 22:28:20 UTC 2022 年 7 月 24 日 (日) 7 時 28 分 20 秒 (日本時間)
composite number 合成数
48941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<194>
prime factors 素因数
250978381429332344684477132248610175734779<42>
195004042432154341766168723037166003339559934489254600060629177637611834293753018881348404818768463243936745438720055027454901906472820499870632092629381<153>
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 48941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799 (194 digits)
Using B1=21880000, B2=96186870796, polynomial Dickson(12), sigma=1:546890934
Step 1 took 68029ms
Step 2 took 23917ms
********** Factor found in step 2: 250978381429332344684477132248610175734779
Found prime factor of 42 digits: 250978381429332344684477132248610175734779
Prime cofactor 195004042432154341766168723037166003339559934489254600060629177637611834293753018881348404818768463243936745438720055027454901906472820499870632092629381 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10197+449

c195

name 名前Bob Backstrom
date 日付August 18, 2022 08:01:57 UTC 2022 年 8 月 18 日 (木) 17 時 1 分 57 秒 (日本時間)
composite number 合成数
689783743475018642803877703206562266964951528709917971662938105891126025354213273676360924683072334079045488441461595824011931394481730052199850857568978374347501864280387770320656226696495152871<195>
prime factors 素因数
171706049585249439016692408199264435985266740588071279623<57>
855396483550098398042808967819613841612753237986962731834238780823<66>
4696343966537183902019718081239307121652135836296960261536350213042139399<73>
factorization results 素因数分解の結果
Number: n
N=689783743475018642803877703206562266964951528709917971662938105891126025354213273676360924683072334079045488441461595824011931394481730052199850857568978374347501864280387770320656226696495152871  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Aug 18 17:52:04 2022  found factor: 171706049585249439016692408199264435985266740588071279623
Thu Aug 18 17:54:37 2022  found factor: 171706049585249439016692408199264435985266740588071279623
Thu Aug 18 17:57:10 2022  p57 factor: 171706049585249439016692408199264435985266740588071279623
Thu Aug 18 17:57:10 2022  p66 factor: 855396483550098398042808967819613841612753237986962731834238780823
Thu Aug 18 17:57:10 2022  p73 factor: 4696343966537183902019718081239307121652135836296960261536350213042139399
Thu Aug 18 17:57:10 2022  elapsed time 01:25:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 37x10^197+44 = 41(196)6
#
n: 689783743475018642803877703206562266964951528709917971662938105891126025354213273676360924683072334079045488441461595824011931394481730052199850857568978374347501864280387770320656226696495152871
m: 1000000000000000000000000000000000000000
deg: 5
c5: 925
c0: 11
skew: 0.41
# Murphy_E = 1.608e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3551557 hash collisions in 27861798 relations (25816309 unique)
Msieve: matrix is 1851294 x 1851519 (646.2 MB)

Sieving start time : 2022/08/18 09:20:06
Sieving end time  : 2022/08/18 16:31:35

Total sieving time: 7hrs 11min 29secs.

Total relation processing time: 1hrs 9min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 41sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 27, 2022 10:07:06 UTC 2022 年 7 月 27 日 (水) 19 時 7 分 6 秒 (日本時間)

37×10199+449

c159

name 名前Bob Backstrom
date 日付October 5, 2022 10:06:23 UTC 2022 年 10 月 5 日 (水) 19 時 6 分 23 秒 (日本時間)
composite number 合成数
508442343832735355682085453788328448707868357748296483782544752098052961068832764154506400954173315455378190626496388138669783021680000879372821608055533419343<159>
prime factors 素因数
576673712236383719780655280140827067312694495831997<51>
881681153560750979650856699460075260657941394211390065168752040638885054849613428928609781611049270308596219<108>
factorization results 素因数分解の結果
Number: n
N=508442343832735355682085453788328448707868357748296483782544752098052961068832764154506400954173315455378190626496388138669783021680000879372821608055533419343  ( 159 digits)
SNFS difficulty: 200 digits.
Divisors found:

Wed Oct  5 21:01:44 2022  p51 factor: 576673712236383719780655280140827067312694495831997
Wed Oct  5 21:01:44 2022  p108 factor: 881681153560750979650856699460075260657941394211390065168752040638885054849613428928609781611049270308596219
Wed Oct  5 21:01:44 2022  elapsed time 01:08:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 37x10^199+44 = 41(198)6
#
n: 508442343832735355682085453788328448707868357748296483782544752098052961068832764154506400954173315455378190626496388138669783021680000879372821608055533419343
m: 5000000000000000000000000000000000000000
deg: 5
c5: 148
c0: 55
skew: 0.82
# Murphy_E = 1.263e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 41400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4099045 hash collisions in 24641832 relations (21533857 unique)
Msieve: matrix is 1697656 x 1697881 (588.4 MB)

Sieving start time : 2022/10/05 06:16:05
Sieving end time  : 2022/10/05 19:52:33

Total sieving time: 13hrs 36min 28secs.

Total relation processing time: 0hrs 54min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 3sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,52,52,2.6,2.6,100000
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 4, 2022 07:47:44 UTC 2022 年 9 月 4 日 (日) 16 時 47 分 44 秒 (日本時間)

37×10201+449

c188

composite cofactor 合成数の残り
11542832675975577356471352443078266955459741310378129528210616484525098112061307481552004431441754581758631873998921403058773145744426483429484355456422390748306632431426368770499544101639<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:10:36 UTC 2022 年 9 月 28 日 (水) 15 時 10 分 36 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:10:36 UTC 2022 年 9 月 28 日 (水) 15 時 10 分 36 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:15:33 UTC 2022 年 10 月 21 日 (金) 8 時 15 分 33 秒 (日本時間)

37×10202+449

c180

composite cofactor 合成数の残り
324811884166366197736506633847203301856150950985077527947062109727528767337567473971356107738382198909195461960401293289534012675146722197100224153576207449664097968443196287047329<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:12:27 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 27 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:12:27 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 27 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:15:40 UTC 2022 年 10 月 21 日 (金) 8 時 15 分 40 秒 (日本時間)

37×10203+449

c174

composite cofactor 合成数の残り
343494016678559051063324226601188468922734484125487219987304466889286665289933027381415040847292823502233929612357096819881612447049828783970778982347371794451949583350538803<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:12:33 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 33 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:12:33 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 33 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:15:47 UTC 2022 年 10 月 21 日 (金) 8 時 15 分 47 秒 (日本時間)

37×10204+449

c200

composite cofactor 合成数の残り
17643950795313003687108852685409311046639161177967378719297141298480331286635041077024905628706421825853251923190636689117401894864942709614904083668568398444280403388401534356110243219477395714713529<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:12:41 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 41 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:12:41 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 41 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:15:55 UTC 2022 年 10 月 21 日 (金) 8 時 15 分 55 秒 (日本時間)

37×10207+449

c177

composite cofactor 合成数の残り
792784255101006357476170455236261508623511691933007383152224105861320106296739505084298979692796195354442870381244367651458828414559476892803500539115039067029097169761305085337<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:12:48 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 48 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:12:48 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 48 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:03 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 3 秒 (日本時間)

37×10208+449

c154

composite cofactor 合成数の残り
6840229052129367175736852421482475918149703352836893608988060357714199882570157624077972353289008126108908634063173436730786746238834236389308595858369787<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:12:54 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 54 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:12:54 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 54 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:11 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 11 秒 (日本時間)

37×10209+449

c177

composite cofactor 合成数の残り
204978207310036392557513764204950845869743679153712374180219477471949961121556205011451722726185684254179849966977053983454932278624142861629197743510005380669867391972970565883<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:01 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 1 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:01 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 1 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:17 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 17 秒 (日本時間)

37×10210+449

c188

composite cofactor 合成数の残り
70309387311983085675367540103493332128164317647245078107594616776936176584433308986669797010394978500345904905602262740291297290658798234206567107820002671522912488756106910465630937743639<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:07 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 7 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:07 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 7 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:24 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 24 秒 (日本時間)

37×10212+449

c172

name 名前Dmitry Domanov
date 日付September 9, 2022 05:54:16 UTC 2022 年 9 月 9 日 (金) 14 時 54 分 16 秒 (日本時間)
composite number 合成数
6691403211145989189616622486184491031019662561794699773927671369729271695528711428985117524859923009574120170507295645087552795851405588921760759004171248381950782297467227<172>
prime factors 素因数
2778005618971229472286511771228907225117149<43>
2408707587000488704915794270522293519217009737660619650121839078789925479237880114674911771850836735838939635966694937051928707223<130>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 16:21:10 2022 
Input number is 6691403211145989189616622486184491031019662561794699773927671369729271695528711428985117524859923009574120170507295645087552795851405588921760759004171248381950782297467227 (172 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:775347155
Step 1 took 0ms
Step 2 took 5680ms
********** Factor found in step 2: 2778005618971229472286511771228907225117149
Found prime factor of 43 digits: 2778005618971229472286511771228907225117149
Prime cofactor 2408707587000488704915794270522293519217009737660619650121839078789925479237880114674911771850836735838939635966694937051928707223 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10213+449

c164

composite cofactor 合成数の残り
15680950127969056149277163236991580829453811846834445130662842504999622606386620461515214540121269806074462740834036508342152835466043952485112418188622985883474199<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:14 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 14 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:14 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 14 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:32 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 32 秒 (日本時間)

37×10215+449

c203

composite cofactor 合成数の残り
17047927121555254028135661613274028858829852691630421289680482015715420833080485166813292293610865725456382912770518396145033034305620846960490350264286912821940312984701843221264358932811632406853382811<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:24:04 UTC 2022 年 9 月 30 日 (金) 6 時 24 分 4 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:24:04 UTC 2022 年 9 月 30 日 (金) 6 時 24 分 4 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:07:51 UTC 2022 年 10 月 25 日 (火) 19 時 7 分 51 秒 (日本時間)

37×10216+449

c196

composite cofactor 合成数の残り
3021237066977567868255158389981493437284880880361727706954529001096486108954842083388035651185205868428422807575880178191763307747113868703176497267723483084328950882585881239301644489118347225067<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:21 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 21 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:21 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 21 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:38 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 38 秒 (日本時間)

37×10217+449

c207

composite cofactor 合成数の残り
372475785344433108499078181405262952509384679049665279822577878067387938128361883444370384971294983894409929075860618937571461107489853406147831176492299366794357736628035562504701547161480550208690924888143<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:26:14 UTC 2022 年 9 月 30 日 (金) 6 時 26 分 14 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:26:14 UTC 2022 年 9 月 30 日 (金) 6 時 26 分 14 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:01 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 1 秒 (日本時間)

37×10218+449

c187

name 名前Dmitry Domanov
date 日付October 22, 2022 02:41:50 UTC 2022 年 10 月 22 日 (土) 11 時 41 分 50 秒 (日本時間)
composite number 合成数
8457593777481903891839161537390293602516865051613892984721619428112488492010992303622627392099324878989755014931023969944344640423486141932953601887186753685688278448759015469741184952607<187>
prime factors 素因数
1528364068915166384591282555924421460336839103<46>
5533755961356189417739151247336310309889894012168369779395324724369739970928955817492387161167382657696867216852983354592177810352347334801569<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3211561055
Step 1 took 50251ms
Step 2 took 22218ms
********** Factor found in step 2: 1528364068915166384591282555924421460336839103
Found prime factor of 46 digits: 1528364068915166384591282555924421460336839103
Prime cofactor 5533755961356189417739151247336310309889894012168369779395324724369739970928955817492387161167382657696867216852983354592177810352347334801569 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:28 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 28 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:28 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 28 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:45 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 45 秒 (日本時間)

37×10220+449

c177

name 名前Dmitry Domanov
date 日付September 5, 2022 14:15:03 UTC 2022 年 9 月 5 日 (月) 23 時 15 分 3 秒 (日本時間)
composite number 合成数
170184007555286668712133857382305498891483909543930247834055084157235389710989038912972926448739076318184875523680904827614413174729525608277664692114180846475350203955958763169<177>
prime factors 素因数
41748307597747953169798243321414333<35>
composite cofactor 合成数の残り
4076428898508618286877886031432867007746847162497277617421827422041065410346281158374161659939983584153938056386093987764921511324030182509493<142>
factorization results 素因数分解の結果
GPU: factor 41748307597747953169798243321414333 found in Step 1 with curve 1081 (-sigma 3:1011102792)
Computing 1792 Step 1 took 288ms of CPU time / 178395ms of GPU time
Throughput: 10.045 curves per second (on average 99.55ms per Step 1)
********** Factor found in step 1: 41748307597747953169798243321414333
Found prime factor of 35 digits: 41748307597747953169798243321414333
Composite cofactor 4076428898508618286877886031432867007746847162497277617421827422041065410346281158374161659939983584153938056386093987764921511324030182509493 has 142 digits
Peak memory usage: 9428MB

c142

name 名前Ignacio Santos
date 日付September 8, 2022 10:10:14 UTC 2022 年 9 月 8 日 (木) 19 時 10 分 14 秒 (日本時間)
composite number 合成数
4076428898508618286877886031432867007746847162497277617421827422041065410346281158374161659939983584153938056386093987764921511324030182509493<142>
prime factors 素因数
148573247293150950607760937709353937326479<42>
27437166332276408380492642217825812249876073093397335279683230601427079864229965261022506730092012667<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3517003639
Step 1 took 5875ms
Step 2 took 3281ms
********** Factor found in step 2: 148573247293150950607760937709353937326479
Found prime factor of 42 digits: 148573247293150950607760937709353937326479
Prime cofactor 27437166332276408380492642217825812249876073093397335279683230601427079864229965261022506730092012667 has 101 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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 5, 2022 14:14:47 UTC 2022 年 9 月 5 日 (月) 23 時 14 分 47 秒 (日本時間)

37×10221+449

c192

composite cofactor 合成数の残り
233250767244738060842431137030858543820921448539996134879333988770346683911761868219938027812619382927305801226909191418215925228277316400658014026440862796494653729541646009835748654053587977<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:34 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 34 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:34 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 34 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:16:52 UTC 2022 年 10 月 21 日 (金) 8 時 16 分 52 秒 (日本時間)

37×10222+449

c214

name 名前Dmitry Domanov
date 日付October 27, 2022 10:55:12 UTC 2022 年 10 月 27 日 (木) 19 時 55 分 12 秒 (日本時間)
composite number 合成数
1095658889286973152513404186319756311087977949725793257933099561681211232229710283177028134575215849364460745579222513660261346368269400268458198913562578653938832533685763374390053936566332063967025444268320180007<214>
prime factors 素因数
1146933392539342007387367037728124504204391<43>
955294262434154351804357584064496467541755543193480794898586121639702776228531062321402506957718136692167116059775178201190314529758839589432546692379695305905468000390977<171>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4d4a06094c0e with GMP-ECM 7.0.5-dev on Tue Oct 25 15:02:01 2022 
Input number is 1095658889286973152513404186319756311087977949725793257933099561681211232229710283177028134575215849364460745579222513660261346368269400268458198913562578653938832533685763374390053936566332063967025444268320180007 (214 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2030996901
Step 1 took 0ms
Step 2 took 19586ms
********** Factor found in step 2: 1146933392539342007387367037728124504204391
Found prime factor of 43 digits: 1146933392539342007387367037728124504204391
Prime cofactor 955294262434154351804357584064496467541755543193480794898586121639702776228531062321402506957718136692167116059775178201190314529758839589432546692379695305905468000390977 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:26:02 UTC 2022 年 9 月 30 日 (金) 6 時 26 分 2 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:26:02 UTC 2022 年 9 月 30 日 (金) 6 時 26 分 2 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:08 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 8 秒 (日本時間)

37×10223+449

c154

composite cofactor 合成数の残り
5450736571625776993216554268771531474061272798298364104915769918133853617613363247077818070232489424318010716671282099578506869002610757430368011378059897<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 18:21:13 UTC 2022 年 6 月 30 日 (木) 3 時 21 分 13 秒 (日本時間)
4511e64480Ignacio SantosJuly 1, 2022 12:21:56 UTC 2022 年 7 月 1 日 (金) 21 時 21 分 56 秒 (日本時間)

37×10224+449

c157

composite cofactor 合成数の残り
1423443432327612787192858145525277761235842885109126619742150056219308673993250212598472466189297638579356531144883866205781679291428508669023702147735855643<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:41 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 41 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:41 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 41 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:04 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 4 秒 (日本時間)

37×10225+449

c181

composite cofactor 合成数の残り
9230573190326651966394437828150427946053953779406764759666448568655193237349224291316339007168745113483143485987721579216446612677388744949779805983058458409579417220314775536039839<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:48 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 48 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:48 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 48 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:11 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 11 秒 (日本時間)

37×10226+449

c197

composite cofactor 合成数の残り
89443483337123720526462975540234089192349858923222185788900910485559825570951342601103401941998924392985043666391495070836694833586580477606853604656564615966206923408380897013485776209297536540563<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:13:55 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 55 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:13:55 UTC 2022 年 9 月 28 日 (水) 15 時 13 分 55 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:19 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 19 秒 (日本時間)

37×10227+449

c182

composite cofactor 合成数の残り
88098139438378634586057179460751666945101529017988086297322773997141113440286288954200873426028360843510732433788413612663352152606300276771519097324886104610984876959631388612273321<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:14:04 UTC 2022 年 9 月 28 日 (水) 15 時 14 分 4 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:14:04 UTC 2022 年 9 月 28 日 (水) 15 時 14 分 4 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:27 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 27 秒 (日本時間)

37×10228+449

c216

name 名前Dmitry Domanov
date 日付September 30, 2022 07:27:31 UTC 2022 年 9 月 30 日 (金) 16 時 27 分 31 秒 (日本時間)
composite number 合成数
153903712084005079356065205599936625207414912695593796454607959149076045399207917978322886496628697838471199236569510232106258839090510065264097460670036383516063517841718197823596871575600924972915056230148773555139<216>
prime factors 素因数
1702624329529545454111095112508887787022329<43>
composite cofactor 合成数の残り
90392055026331282694311546530306407031144426472386837191517211668639828877184447931023470293880538959906608891713911282778962595514653080022040488071727848114841469351540891<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @70ae5d4a7613 with GMP-ECM 7.0.5-dev on Thu Sep 29 22:07:38 2022 
Input number is 153903712084005079356065205599936625207414912695593796454607959149076045399207917978322886496628697838471199236569510232106258839090510065264097460670036383516063517841718197823596871575600924972915056230148773555139 (216 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2268252205
Step 1 took 0ms
Step 2 took 17779ms
********** Factor found in step 2: 1702624329529545454111095112508887787022329
Found prime factor of 43 digits: 1702624329529545454111095112508887787022329
Composite cofactor 90392055026331282694311546530306407031144426472386837191517211668639828877184447931023470293880538959906608891713911282778962595514653080022040488071727848114841469351540891 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:25:47 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 47 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovSeptember 29, 2022 21:25:47 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 47 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:34 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 34 秒 (日本時間)

37×10230+449

c193

composite cofactor 合成数の残り
6973271049528804097877738183961735103572155113576597244291100234077900967979996538430930621801483218656986368240325754552015127777414753136329499576186207716802961940556585645937364046176245787<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:12:16 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 16 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:12:16 UTC 2022 年 9 月 28 日 (水) 15 時 12 分 16 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:40 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 40 秒 (日本時間)

37×10232+449

c224

composite cofactor 合成数の残り
12160768012454544822340888889623530744603440202048249830675010940789905362932625321903072252533580685300429540767746918587890498288443486443593427062609235963870750534800241001600893327441426769845253718261275828496918000131<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:25:40 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 40 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:25:40 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 40 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:14 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 14 秒 (日本時間)

37×10233+449

c225

composite cofactor 合成数の残り
808203785321946837660359852359709053382509204744312093953667326596948666538152653728435453083843218835120541449564235435291651908537896504678783892146968043638929312839462682253109953530877333439306761132390942031873577412257<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:25:32 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 32 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:25:32 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 32 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:21 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 21 秒 (日本時間)

37×10234+449

c229

composite cofactor 合成数の残り
2136490072481291853551805033847777045596855640945866884888917529404455124585087853626639929359554187278021568617940372756310094557586029526061829791725708858534561826673605062534486991778093285392805825850421211904938433285268081<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:25:21 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 21 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:25:21 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 21 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:27 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 27 秒 (日本時間)

37×10235+449

c170

name 名前Dmitry Domanov
date 日付September 8, 2022 09:37:44 UTC 2022 年 9 月 8 日 (木) 18 時 37 分 44 秒 (日本時間)
composite number 合成数
61817669586871624301318680853411077498042864503805230828029489000918005786548077942127322503333655480763592046608983355230930995760223500092683232091721177825553937667517<170>
prime factors 素因数
484702412131777831063108535942811720379<39>
composite cofactor 合成数の残り
127537367340488965121325020390922636831294536591987291431601551536460327203853663025154240416039622215120468771342385146656130037223<132>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 14:58:15 2022 
Input number is 61817669586871624301318680853411077498042864503805230828029489000918005786548077942127322503333655480763592046608983355230930995760223500092683232091721177825553937667517 (170 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1552672363
Step 1 took 0ms
Step 2 took 5760ms
********** Factor found in step 2: 484702412131777831063108535942811720379
Found prime factor of 39 digits: 484702412131777831063108535942811720379
Composite cofactor 127537367340488965121325020390922636831294536591987291431601551536460327203853663025154240416039622215120468771342385146656130037223 has 132 digits

c132

name 名前Norman Powell
date 日付September 24, 2022 13:44:24 UTC 2022 年 9 月 24 日 (土) 22 時 44 分 24 秒 (日本時間)
composite number 合成数
127537367340488965121325020390922636831294536591987291431601551536460327203853663025154240416039622215120468771342385146656130037223<132>
prime factors 素因数
35662343073852317402231822285475461185999347897193<50>
3576247558282269769490644111160143872376403211841301547723921472546081635842581711<82>
factorization results 素因数分解の結果
New best polynomial is:
n: 127537......037223
skew: 54972.322
c0: -333889624599391313617587943065
c1: 1685862758266488290310118
c2: 788645691370683972924
c3: -12492123256544482
c4: -164007266871
c5: -143640
Y0: -21545406621625132194038594
Y1: 49508865294675737831
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.757e-06
# f(x) = -143640*x^5-164007266871*x^4-12492123256544482*
      x^3+788645691370683972924*x^2+1685862758266488290310118*
        x-333889624599391313617587943065
# g(x) = 49508865294675737831*x-21545406621625132194038594
Factors: 
   3576247558282269769490644111160143872376403211841301547723921472546081635842581711 
        35662343073852317402231822285475461185999347897193
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620, 3.6 GHz.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovSeptember 8, 2022 09:37:38 UTC 2022 年 9 月 8 日 (木) 18 時 37 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 8, 2022 15:36:17 UTC 2022 年 9 月 9 日 (金) 0 時 36 分 17 秒 (日本時間)
4511e64480Ignacio SantosSeptember 9, 2022 15:31:17 UTC 2022 年 9 月 10 日 (土) 0 時 31 分 17 秒 (日本時間)

37×10236+449

c186

name 名前Dmitry Domanov
date 日付September 5, 2022 14:14:14 UTC 2022 年 9 月 5 日 (月) 23 時 14 分 14 秒 (日本時間)
composite number 合成数
316178550113413943115135825386429906003928246453499081925038332619049975139214607740107740132035709574482431538663459554649600116401623902208888180236286565127120823423576687918061349651<186>
prime factors 素因数
66013339932902354679551271180894209<35>
4789616014502309679791281812737030292154576443552822762856562723089304281322941093783598711877152413149675403798164135288268217881985010304312316619539<151>
factorization results 素因数分解の結果
GPU: factor 66013339932902354679551271180894209 found in Step 1 with curve 548 (-sigma 3:-2115299696)
Computing 1792 Step 1 took 311ms of CPU time / 178498ms of GPU time
Throughput: 10.039 curves per second (on average 99.61ms per Step 1)
********** Factor found in step 1: 66013339932902354679551271180894209
Found prime factor of 35 digits: 66013339932902354679551271180894209
Prime cofactor 4789616014502309679791281812737030292154576443552822762856562723089304281322941093783598711877152413149675403798164135288268217881985010304312316619539 has 151 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10237+449

c174

composite cofactor 合成数の残り
619178483346998872598981337457777436366476682504783162673374335524690696148966173824294242171651111400062908673309705571565839546119710971449185347409376350311743445105088047<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:15:28 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 28 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:15:28 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 28 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:47 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 47 秒 (日本時間)

37×10238+449

c202

composite cofactor 合成数の残り
3474765261904137190486430917509227078890954816644805157773537164729249243874395729555589215954995228151898910636532466853342908336432599347496910586032346945591730711838469269076736976594705285544889631<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:25:04 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 4 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:25:04 UTC 2022 年 9 月 30 日 (金) 6 時 25 分 4 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:33 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 33 秒 (日本時間)

37×10239+449

c187

composite cofactor 合成数の残り
6865325977551308877214537615087634458919334349244276877391456895141578812469325927275342041859945930950983298527676048797568501680005258262480087349542017433914638566462471713695359582923<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:15:35 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 35 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovSeptember 28, 2022 06:15:35 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 35 秒 (日本時間)

37×10240+449

c211

composite cofactor 合成数の残り
1367595497235929430513178032380860868560135075077397927913194881200630554385285045545655169325173106937273595749497569538359869206279091126418384087772738877942337671490282744409381217422683584463928885477266199<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:24:56 UTC 2022 年 9 月 30 日 (金) 6 時 24 分 56 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:24:56 UTC 2022 年 9 月 30 日 (金) 6 時 24 分 56 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:40 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 40 秒 (日本時間)

37×10243+449

c194

composite cofactor 合成数の残り
10177422866035452950789896420351691921140111751804198260606371835166767201947800382787292190815007115947040913053756985037637854962594729103287959782884509820200907346181885863463341371030789203<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:15:42 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 42 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:15:42 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 42 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:17:54 UTC 2022 年 10 月 21 日 (金) 8 時 17 分 54 秒 (日本時間)

37×10245+449

c180

composite cofactor 合成数の残り
370653475983862900792985481087635264654057476934609073987427716981965685355693370194086789519607552444050106002210569366754052164928800518074986018570441772827262853796214723089949<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:15:50 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 50 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:15:50 UTC 2022 年 9 月 28 日 (水) 15 時 15 分 50 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:18:00 UTC 2022 年 10 月 21 日 (金) 8 時 18 分 0 秒 (日本時間)

37×10246+449

c217

composite cofactor 合成数の残り
7998689126080505452526181265540500229349025463880731896257330499709809481818087218102796196807977560410863956835984153746641877331815009229544995923393999992229996364348588533295952083862320637876760109063356523929113<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:33:48 UTC 2022 年 9 月 30 日 (金) 6 時 33 分 48 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:33:48 UTC 2022 年 9 月 30 日 (金) 6 時 33 分 48 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:48 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 48 秒 (日本時間)

37×10247+449

c244

composite cofactor 合成数の残り
9614385199043758445068080241139174721962373973599417939923084918407649932439455358070886602224301008211204656480615320652738800540484357135432907182205591934310362748155077434778089595676125142916536742542355264525517098014759380521775283234591<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:13:23 UTC 2022 年 9 月 23 日 (金) 18 時 13 分 23 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:13:23 UTC 2022 年 9 月 23 日 (金) 18 時 13 分 23 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:08:55 UTC 2022 年 10 月 25 日 (火) 19 時 8 分 55 秒 (日本時間)

37×10248+449

c245

composite cofactor 合成数の残り
50356579018999401165006260547661821547171865643203222821057215961674560400675050356579018999401165006260547661821547171865643203222821057215961674560400675050356579018999401165006260547661821547171865643203222821057215961674560400675050356579019<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:13:33 UTC 2022 年 9 月 23 日 (金) 18 時 13 分 33 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:13:33 UTC 2022 年 9 月 23 日 (金) 18 時 13 分 33 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:09:01 UTC 2022 年 10 月 25 日 (火) 19 時 9 分 1 秒 (日本時間)

37×10249+449

c248

composite cofactor 合成数の残り
48941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:13:57 UTC 2022 年 9 月 23 日 (金) 18 時 13 分 57 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:13:57 UTC 2022 年 9 月 23 日 (金) 18 時 13 分 57 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:09:08 UTC 2022 年 10 月 25 日 (火) 19 時 9 分 8 秒 (日本時間)

37×10250+449

c249

composite cofactor 合成数の残り
354406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:14:09 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 9 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:14:09 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 9 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:09:14 UTC 2022 年 10 月 25 日 (火) 19 時 9 分 14 秒 (日本時間)

37×10252+449

c193

name 名前Dmitry Domanov
date 日付September 9, 2022 10:05:41 UTC 2022 年 9 月 9 日 (金) 19 時 5 分 41 秒 (日本時間)
composite number 合成数
2168241732783115341797704326197169281621859118588295771196100941410297917314464648798580529021100437454509972548839722889073376287443913075217490550415900514694620680626727252699606968459625931<193>
prime factors 素因数
244514383416829977567623158409890477<36>
8867542688017897589571503081847234809239685674800752657843373789225039322751381760537354672706619428040899377633972026455254886872955182776477937829551708503<157>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 10:19:32 2022 
Input number is 2168241732783115341797704326197169281621859118588295771196100941410297917314464648798580529021100437454509972548839722889073376287443913075217490550415900514694620680626727252699606968459625931 (193 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1565782567
Step 1 took 0ms
Step 2 took 4725ms
********** Factor found in step 2: 244514383416829977567623158409890477
Found prime factor of 36 digits: 244514383416829977567623158409890477
Prime cofactor 8867542688017897589571503081847234809239685674800752657843373789225039322751381760537354672706619428040899377633972026455254886872955182776477937829551708503 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

37×10253+449

c245

composite cofactor 合成数の残り
83082523138839724469000440729881420841598708328856869441348632449139392019358870994988222387684884358338723435523013469544336650304717907901733300561274898066119725165492459570766566163130619243227128656584333925126103798811666090779034792999943<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:14:19 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 19 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:14:19 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 19 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:09:50 UTC 2022 年 10 月 25 日 (火) 19 時 9 分 50 秒 (日本時間)

37×10254+449

c227

name 名前Dmitry Domanov
date 日付October 25, 2022 17:31:53 UTC 2022 年 10 月 26 日 (水) 2 時 31 分 53 秒 (日本時間)
composite number 合成数
12115502793064168942373686304732425136845190019663169878684962386729057351204211211110562804299239944503019676299375294372731964934869044846815137779362607311900237810449261793614923050299524255869115674435081712948283861528949<227>
prime factors 素因数
179810753128131158531561093862847403500183<42>
67379189410495351978696312313700069471110417238566125828368302688091278892369370774378245634191214082551059324603814840083022413961682101714048728404421110079454536694277767090327054803<185>
factorization results 素因数分解の結果
GPU: factor 179810753128131158531561093862847403500183 found in Step 1 with curve 355 (-sigma 3:-1640708583)
Computing 1792 Step 1 took 695ms of CPU time / 642410ms of GPU time
Throughput: 2.789 curves per second (on average 358.49ms per Step 1)
********** Factor found in step 1: 179810753128131158531561093862847403500183
Found prime factor of 42 digits: 179810753128131158531561093862847403500183
Prime cofactor 67379189410495351978696312313700069471110417238566125828368302688091278892369370774378245634191214082551059324603814840083022413961682101714048728404421110079454536694277767090327054803 has 185 digits
Peak memory usage: 9430MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:33:54 UTC 2022 年 9 月 30 日 (金) 6 時 33 分 54 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:33:54 UTC 2022 年 9 月 30 日 (金) 6 時 33 分 54 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:09:56 UTC 2022 年 10 月 25 日 (火) 19 時 9 分 56 秒 (日本時間)

37×10255+449

c217

composite cofactor 合成数の残り
6430666480709840177292776019726701648941619466284632412731290477104730800934366973589557651376391631056370373869413326541189756873544926103176568657429298239878289036557624089437097762402365275827788873659689508637199<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:33:59 UTC 2022 年 9 月 30 日 (金) 6 時 33 分 59 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:33:59 UTC 2022 年 9 月 30 日 (金) 6 時 33 分 59 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:03 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 3 秒 (日本時間)

37×10256+449

c251

composite cofactor 合成数の残り
32013710866699407175293583033356210158071590963758056639695547879186830978335543144618564422142136030929743921461541842612291119188949074665318283774378440824991598563986063479900754035371516518901760131128159710000771790002516104627036807461236587553<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:14:30 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 30 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:14:30 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 30 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:07:46 UTC 2022 年 10 月 21 日 (金) 8 時 7 分 46 秒 (日本時間)

37×10257+449

c235

composite cofactor 合成数の残り
3123767721311813356494528898697002204755745859608363320769866647490637891913077377082827423493056172233080020443585868902172606590668675722122235582240460036760209851133083771498065469723490213726587988268888610898433511417318250277667<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:05 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 5 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:05 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 5 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:09 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 9 秒 (日本時間)

37×10258+449

c250

composite cofactor 合成数の残り
4510272520383490363054542559318410581309584658672646974016208350351018200140819289794087028532442792750466076081050751821056539997623071753847023659242051570020086320696612205145486917189758687337931189007301291080819506491958759216852214231525990923<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:14:39 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 39 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:14:39 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 39 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:07:31 UTC 2022 年 10 月 21 日 (金) 8 時 7 分 31 秒 (日本時間)

37×10261+449

c206

name 名前Dmitry Domanov
date 日付October 27, 2022 04:41:59 UTC 2022 年 10 月 27 日 (木) 13 時 41 分 59 秒 (日本時間)
composite number 合成数
40549811277000124701987914587044894820261099745138752764580511780427313389663293606885984116114266177825808458027518799976424646605559890299463255433061470974548155374585704923203940653945453482337806586509<206>
prime factors 素因数
303485790377678454717657568575947965793297968860453907637<57>
133613541597902059209885266223724322496280064224046004235998878294349991874659014552168354111497973641534654723725400070561392055007716290857239137657<150>
factorization results 素因数分解の結果
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2675197470
Resuming ECM residue saved by @4d4a06094c0e with GMP-ECM 7.0.5-dev on Tue Oct 25 14:51:18 2022 
Input number is 40549811277000124701987914587044894820261099745138752764580511780427313389663293606885984116114266177825808458027518799976424646605559890299463255433061470974548155374585704923203940653945453482337806586509 (206 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1439894510
Step 1 took 0ms
Step 2 took 14901ms
********** Factor found in step 2: 303485790377678454717657568575947965793297968860453907637
Found prime factor of 57 digits: 303485790377678454717657568575947965793297968860453907637
Prime cofactor 133613541597902059209885266223724322496280064224046004235998878294349991874659014552168354111497973641534654723725400070561392055007716290857239137657 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:10 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 10 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:10 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 10 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:15 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 15 秒 (日本時間)

37×10262+449

c206

composite cofactor 合成数の残り
10152370351770059563142295827841332109069640750948178213578442103852745024490485363075845983925008720017159001660183758816773013904652076189142128264737370994349716405392035103704369364567884816213107850559<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:16 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 16 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:16 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 16 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:22 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 22 秒 (日本時間)

37×10263+449

c175

composite cofactor 合成数の残り
9294040864615887604907070880200476274485466978335507043579160601067694482500064182516691930780931448254859304518939674881067455681635955651619957728650094070235466427495035053<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 19:39:38 UTC 2022 年 6 月 30 日 (木) 4 時 39 分 38 秒 (日本時間)
4511e64480Ignacio SantosJuly 2, 2022 15:59:45 UTC 2022 年 7 月 3 日 (日) 0 時 59 分 45 秒 (日本時間)

37×10265+449

c258

composite cofactor 合成数の残り
394150545131722406392792886122113983369224681973027975659461053543613032658934932873797260796883856869014736087255948320821311901497577339825815201438859987427321995083702725897872065576355923788465274205655303553593563624716303753510981202500305274923563237<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:14:50 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 50 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:14:50 UTC 2022 年 9 月 23 日 (金) 18 時 14 分 50 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:07:23 UTC 2022 年 10 月 21 日 (金) 8 時 7 分 23 秒 (日本時間)

37×10266+449

c264

composite cofactor 合成数の残り
183860067580997813555953090836811767044325183860067580997813555953090836811767044325183860067580997813555953090836811767044325183860067580997813555953090836811767044325183860067580997813555953090836811767044325183860067580997813555953090836811767044325183860067581<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:15:02 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 2 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:15:02 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 2 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:07:16 UTC 2022 年 10 月 21 日 (金) 8 時 7 分 16 秒 (日本時間)

37×10267+449

c184

composite cofactor 合成数の残り
5634944462966821150931700576631035313549382684031624580942912461410461053358862905460089480167171925578986617847154138689005524762773960876682532080895942611929722957298386938396769451<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:16:02 UTC 2022 年 9 月 28 日 (水) 15 時 16 分 2 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:16:02 UTC 2022 年 9 月 28 日 (水) 15 時 16 分 2 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:18:12 UTC 2022 年 10 月 21 日 (金) 8 時 18 分 12 秒 (日本時間)

37×10270+449

c221

name 名前Dmitry Domanov
date 日付October 27, 2022 04:41:29 UTC 2022 年 10 月 27 日 (木) 13 時 41 分 29 秒 (日本時間)
composite number 合成数
10335115316858478833008384214800785315662957561974944752629601499591781597929667973992906319516019422806089314647849998397602863969240131877359154059166953793228137080144620539775323031670633819006531066289148753300292467<221>
prime factors 素因数
1611405557561707147274402894177240007940237<43>
6413726990303436406660101295603181358123059285385702607022616357129261117894965238916750447977284735375256303163059946643216836490591629479554676947159541674137579911857939745791<178>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4d4a06094c0e with GMP-ECM 7.0.5-dev on Tue Oct 25 16:50:20 2022 
Input number is 10335115316858478833008384214800785315662957561974944752629601499591781597929667973992906319516019422806089314647849998397602863969240131877359154059166953793228137080144620539775323031670633819006531066289148753300292467 (221 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3160604807
Step 1 took 0ms
Step 2 took 13851ms
********** Factor found in step 2: 1611405557561707147274402894177240007940237
Found prime factor of 43 digits: 1611405557561707147274402894177240007940237
Prime cofactor 6413726990303436406660101295603181358123059285385702607022616357129261117894965238916750447977284735375256303163059946643216836490591629479554676947159541674137579911857939745791 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:22 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 22 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:22 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 22 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:29 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 29 秒 (日本時間)

37×10271+449

c240

composite cofactor 合成数の残り
216733607791189987380929492199530245531267597174184416724392274301112237294072007284097705837154901392213225718004619875068244101856150942463415992283609960285567095406782867046570980425292727672698059814423468295549020635342955157353760891<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:15:12 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 12 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:15:12 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 12 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:35 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 35 秒 (日本時間)

37×10273+449

c269

name 名前Dmitry Domanov
date 日付September 9, 2022 10:09:41 UTC 2022 年 9 月 9 日 (金) 19 時 9 分 41 秒 (日本時間)
composite number 合成数
55176774455241197067578127330100272603091092380833079818423674117022482298694249088837589401287259235399032467803606473279528521918600836300949040520630148589562343790077724688773166788950328972876887194812786695537541084328006537702140858848863358446222031340407890577<269>
prime factors 素因数
5417454243858621648532656531861115841<37>
composite cofactor 合成数の残り
10185000550358342012252678965697506975599499394863766059686864383077027161262670880157482551327486829144785135291611036283541169388628789501267753925428597519612743772127239059484367060190950320082530470496765269028201183974846694097<233>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 11:48:18 2022 
Input number is 55176774455241197067578127330100272603091092380833079818423674117022482298694249088837589401287259235399032467803606473279528521918600836300949040520630148589562343790077724688773166788950328972876887194812786695537541084328006537702140858848863358446222031340407890577 (269 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1806919450
Step 1 took 0ms
Step 2 took 6978ms
********** Factor found in step 2: 5417454243858621648532656531861115841
Found prime factor of 37 digits: 5417454243858621648532656531861115841
Composite cofactor 10185000550358342012252678965697506975599499394863766059686864383077027161262670880157482551327486829144785135291611036283541169388628789501267753925428597519612743772127239059484367060190950320082530470496765269028201183974846694097 has 233 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 9, 2022 10:09:36 UTC 2022 年 9 月 9 日 (金) 19 時 9 分 36 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:26 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 26 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:42 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 42 秒 (日本時間)

37×10274+449

c264

composite cofactor 合成数の残り
109656173854589613630344870619849905817839697884364052763623250000647196961818574241218960932458578513996409287815288454667953167688279252660913220279942052283315345606225169575050816570416605614659795646135266256302017664962878384963232114963196070931431181334257<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:15:21 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 21 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:15:21 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 21 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:07:09 UTC 2022 年 10 月 21 日 (金) 8 時 7 分 9 秒 (日本時間)

37×10275+449

c193

composite cofactor 合成数の残り
1995792723488049142036096127990576110131010190731286225131105648376019552074810625888870817567597735086603072537352233413730989045387307458520850066840576131761288832769199694334023732198084089<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 28, 2022 06:16:11 UTC 2022 年 9 月 28 日 (水) 15 時 16 分 11 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovSeptember 28, 2022 06:16:11 UTC 2022 年 9 月 28 日 (水) 15 時 16 分 11 秒 (日本時間)
1000Dmitry DomanovOctober 20, 2022 23:18:18 UTC 2022 年 10 月 21 日 (金) 8 時 18 分 18 秒 (日本時間)

37×10276+449

c258

composite cofactor 合成数の残り
218033854014313445780821603266167684666644401492530496521625767184490690404820807614515791395458016396361566114158706395246068031082381869952476432242303068446845673998086810731678966391311733043783228337803742215472178812507396350808030351557411192796697029<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:15:33 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 33 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:15:33 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 33 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:07:01 UTC 2022 年 10 月 21 日 (金) 8 時 7 分 1 秒 (日本時間)

37×10277+449

c239

composite cofactor 合成数の残り
10392570583498662212095588026743837569410041276850162801774712164353600703272226958576373056017683682588632690650446204613240589698936675260077911072659781651837297105197000201022751220332932383169251488326097713565254864786805115575553103<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:31 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 31 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:31 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 31 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:10:49 UTC 2022 年 10 月 25 日 (火) 19 時 10 分 49 秒 (日本時間)

37×10278+449

c217

composite cofactor 合成数の残り
3654514627774535053755596200961821363835319833908189024883733919089293607768426930474526104189597199182378861211011123169402533311275628092850392040382951996636426356701225647722254052515819847842120206586050034921241<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:37 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 37 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:37 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 37 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:11:19 UTC 2022 年 10 月 25 日 (火) 19 時 11 分 19 秒 (日本時間)

37×10280+449

c266

name 名前Dmitry Domanov
date 日付September 24, 2022 15:59:02 UTC 2022 年 9 月 25 日 (日) 0 時 59 分 2 秒 (日本時間)
composite number 合成数
34048931064059667124533443255211895950392154649962569414482229862281697040223804237859012431827147149066628354357813371208638513777292350415869680034035966082709208287868865092459356014985332010998973135956260886370988072541716596973620372558863493386225645076431001<266>
prime factors 素因数
288602546840792363236586660975505515319601<42>
composite cofactor 合成数の残り
117978622977442970651862869520115662331349451976796082178674867332955721570607346059117355685992000481268384205328529172764598502883571510427563915484251896577358644429136441022473698820270162263893017571919809904786381671401<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b7a1916b3293 with GMP-ECM 7.0.5-dev on Sat Sep 24 08:15:48 2022 
Input number is 34048931064059667124533443255211895950392154649962569414482229862281697040223804237859012431827147149066628354357813371208638513777292350415869680034035966082709208287868865092459356014985332010998973135956260886370988072541716596973620372558863493386225645076431001 (266 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3581125772
Step 1 took 0ms
Step 2 took 14519ms
********** Factor found in step 2: 288602546840792363236586660975505515319601
Found prime factor of 42 digits: 288602546840792363236586660975505515319601
Composite cofactor 117978622977442970651862869520115662331349451976796082178674867332955721570607346059117355685992000481268384205328529172764598502883571510427563915484251896577358644429136441022473698820270162263893017571919809904786381671401 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:15:44 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 44 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:15:44 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 44 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:11:26 UTC 2022 年 10 月 25 日 (火) 19 時 11 分 26 秒 (日本時間)

37×10281+449

c250

name 名前Dmitry Domanov
date 日付September 9, 2022 10:04:52 UTC 2022 年 9 月 9 日 (金) 19 時 4 分 52 秒 (日本時間)
composite number 合成数
4264607086224367942380755132544625147277032384047793339150692185202978981901544706091715044064434690971795036853735827750670701750430948598446867783219663365795969344098965521540730183985148694308693717071927884461988431072540744878740322102985624591<250>
prime factors 素因数
32612782916719199601484347909006662812976441<44>
composite cofactor 合成数の残り
130764893542344207196726247002298754092108393554480004054773282850171983174331322006531479705911883362172130315764816869539633791139646943758153160790867810909431498358290491277114133015536565008886901302151<207>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 08:21:16 2022 
Input number is 4264607086224367942380755132544625147277032384047793339150692185202978981901544706091715044064434690971795036853735827750670701750430948598446867783219663365795969344098965521540730183985148694308693717071927884461988431072540744878740322102985624591 (250 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2825032637
Step 1 took 0ms
Step 2 took 6486ms
********** Factor found in step 2: 32612782916719199601484347909006662812976441
Found prime factor of 44 digits: 32612782916719199601484347909006662812976441
Composite cofactor 130764893542344207196726247002298754092108393554480004054773282850171983174331322006531479705911883362172130315764816869539633791139646943758153160790867810909431498358290491277114133015536565008886901302151 has 207 digits

c207

name 名前Dmitry Domanov
date 日付October 25, 2022 19:52:20 UTC 2022 年 10 月 26 日 (水) 4 時 52 分 20 秒 (日本時間)
composite number 合成数
130764893542344207196726247002298754092108393554480004054773282850171983174331322006531479705911883362172130315764816869539633791139646943758153160790867810909431498358290491277114133015536565008886901302151<207>
prime factors 素因数
1158458869699214184709151873276802880295099<43>
composite cofactor 合成数の残り
112878322193947554967139920080299756835351031388635656915266321271546231259436077879481633363473351066610645754225367918558125786251208054034468254602003336147427749<165>
factorization results 素因数分解の結果
GPU: factor 1158458869699214184709151873276802880295099 found in Step 1 with curve 345 (-sigma 3:1648654887)
Computing 1792 Step 1 took 578ms of CPU time / 642210ms of GPU time
Throughput: 2.790 curves per second (on average 358.38ms per Step 1)
********** Factor found in step 1: 1158458869699214184709151873276802880295099
Found prime factor of 43 digits: 1158458869699214184709151873276802880295099
Composite cofactor 112878322193947554967139920080299756835351031388635656915266321271546231259436077879481633363473351066610645754225367918558125786251208054034468254602003336147427749 has 165 digits
Peak memory usage: 9430MB

c165

name 名前Ignacio Santos
date 日付November 4, 2022 09:39:26 UTC 2022 年 11 月 4 日 (金) 18 時 39 分 26 秒 (日本時間)
composite number 合成数
112878322193947554967139920080299756835351031388635656915266321271546231259436077879481633363473351066610645754225367918558125786251208054034468254602003336147427749<165>
prime factors 素因数
18863836843465757812310148871805831695576664023343<50>
5983847460653131310836183211947654604094814427862801948587048030086216699787237871095878766628901149561513069768043<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1797384946
Step 1 took 23531ms
Step 2 took 10266ms
********** Factor found in step 2: 18863836843465757812310148871805831695576664023343
Found prime factor of 50 digits: 18863836843465757812310148871805831695576664023343
Prime cofactor 5983847460653131310836183211947654604094814427862801948587048030086216699787237871095878766628901149561513069768043 has 115 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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 9, 2022 10:04:44 UTC 2022 年 9 月 9 日 (金) 19 時 4 分 44 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:43 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 43 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:11:33 UTC 2022 年 10 月 25 日 (火) 19 時 11 分 33 秒 (日本時間)

37×10283+449

c202

composite cofactor 合成数の残り
2000187444474800099582025096551174998542742362145563599207539857320947313404302935924080103193095756279828372459096008175103836885291292196980532345364806624039657088484825496989273406150075076790856441<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:34:49 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 49 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:49 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 49 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:11:40 UTC 2022 年 10 月 25 日 (火) 19 時 11 分 40 秒 (日本時間)

37×10284+449

c262

composite cofactor 合成数の残り
1210542781693716795576109867902987717500739389441273605980186492710033578260364909392613425399166357138792036327240538104932308989533355862418092992406636073943330941248850359399676485484379479889770346317642559466060741825439881457250000186275186245364151363799<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:15:55 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 55 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:15:55 UTC 2022 年 9 月 23 日 (金) 18 時 15 分 55 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:54 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 54 秒 (日本時間)

37×10285+449

c258

composite cofactor 合成数の残り
682100612096005021014793013312514934499126657797854335889025500100834931640187817322341116388416563619202886904435547422275757585911418402940460364428506860551859333127830559804630562737400163564203831312010574547944086242577190563324422583446024647716186999<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:16:05 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 5 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:16:05 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 5 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:46 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 46 秒 (日本時間)

37×10287+449

c249

name 名前Dmitry Domanov
date 日付September 9, 2022 10:10:46 UTC 2022 年 9 月 9 日 (金) 19 時 10 分 46 秒 (日本時間)
composite number 合成数
216346295628158032678779832422915312879211488698722982463132062162269263517974678643476169960300703254103277503201662231959195593854490487694468544940503044512213272591838581836701755895990042937059899442555346001543085503278853976434465804729644139<249>
prime factors 素因数
524192055438607656160184409761164902881<39>
composite cofactor 合成数の残り
412723339439271768674015181506508384171866491311058655042774024398918079071298767968109162868249108638547367229064655042870467312947123945397830100751087414649488851644449143452759810896777122949422284633577419<210>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 12:17:28 2022 
Input number is 216346295628158032678779832422915312879211488698722982463132062162269263517974678643476169960300703254103277503201662231959195593854490487694468544940503044512213272591838581836701755895990042937059899442555346001543085503278853976434465804729644139 (249 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:782483432
Step 1 took 0ms
Step 2 took 6452ms
********** Factor found in step 2: 524192055438607656160184409761164902881
Found prime factor of 39 digits: 524192055438607656160184409761164902881
Composite cofactor 412723339439271768674015181506508384171866491311058655042774024398918079071298767968109162868249108638547367229064655042870467312947123945397830100751087414649488851644449143452759810896777122949422284633577419 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 9, 2022 10:10:40 UTC 2022 年 9 月 9 日 (金) 19 時 10 分 40 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:34:57 UTC 2022 年 9 月 30 日 (金) 6 時 34 分 57 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:11:47 UTC 2022 年 10 月 25 日 (火) 19 時 11 分 47 秒 (日本時間)

37×10288+449

c215

composite cofactor 合成数の残り
84050782538843125920636297990854410450490808409951944315609715688442987724312737232033684597225188588139538484053374417866632389251492803538179411976648572112186552759345667749074066360869966228735723938407711780261<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:35:03 UTC 2022 年 9 月 30 日 (金) 6 時 35 分 3 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:35:03 UTC 2022 年 9 月 30 日 (金) 6 時 35 分 3 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:11:55 UTC 2022 年 10 月 25 日 (火) 19 時 11 分 55 秒 (日本時間)

37×10291+449

c265

composite cofactor 合成数の残り
1176447645561754760414957770815531310399894858147916504524443611811547515272171734708036974054808143717121666314073347756887703879710127730183912219855050150322932132230263379242736289426350626640070431080381525682779179306733402625957151809738093952320417027993327<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:16:15 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 15 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:16:15 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 15 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:40 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 40 秒 (日本時間)

37×10292+449

c259

name 名前Dmitry Domanov
date 日付September 8, 2022 21:05:26 UTC 2022 年 9 月 9 日 (金) 6 時 5 分 26 秒 (日本時間)
composite number 合成数
9861871059196324567729083168543817584335283724337918646274036654827143092187681389594654996902912132070434577114116785543203939450924863842253916451187485682588521414454966421077645449254047357628336461890343139450948905148384175271322776206274413102069837329<259>
prime factors 素因数
943792939752815441029501262463383133421<39>
composite cofactor 合成数の残り
10449189270031202828282455345245125173132192062174039721457614029102876462421906657462077692858349271229661049023808290121271473129071143750977727159307652860507156885972131941543041902707250363351643409044158156719805749<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @53cf31b4387b with GMP-ECM 7.0.5-dev on Mon Sep  5 16:18:12 2022 
Input number is 9861871059196324567729083168543817584335283724337918646274036654827143092187681389594654996902912132070434577114116785543203939450924863842253916451187485682588521414454966421077645449254047357628336461890343139450948905148384175271322776206274413102069837329 (259 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3070343292
Step 1 took 0ms
Step 2 took 9605ms
********** Factor found in step 2: 943792939752815441029501262463383133421
Found prime factor of 39 digits: 943792939752815441029501262463383133421
Composite cofactor 10449189270031202828282455345245125173132192062174039721457614029102876462421906657462077692858349271229661049023808290121271473129071143750977727159307652860507156885972131941543041902707250363351643409044158156719805749 has 221 digits

c221

name 名前Dmitry Domanov
date 日付October 27, 2022 04:21:00 UTC 2022 年 10 月 27 日 (木) 13 時 21 分 0 秒 (日本時間)
composite number 合成数
10449189270031202828282455345245125173132192062174039721457614029102876462421906657462077692858349271229661049023808290121271473129071143750977727159307652860507156885972131941543041902707250363351643409044158156719805749<221>
prime factors 素因数
143488217329392024525445221789556982779517459<45>
composite cofactor 合成数の残り
72822629373421021098235200449489271902179884034092227927448598222941273011070117991589926827768808215898850201002535405832768203526495697559385345798645130966232566273977564311<176>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4d4a06094c0e with GMP-ECM 7.0.5-dev on Tue Oct 25 12:57:55 2022 
Input number is 10449189270031202828282455345245125173132192062174039721457614029102876462421906657462077692858349271229661049023808290121271473129071143750977727159307652860507156885972131941543041902707250363351643409044158156719805749 (221 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2672945284
Step 1 took 0ms
Step 2 took 12499ms
********** Factor found in step 2: 143488217329392024525445221789556982779517459
Found prime factor of 45 digits: 143488217329392024525445221789556982779517459
Composite cofactor 72822629373421021098235200449489271902179884034092227927448598222941273011070117991589926827768808215898850201002535405832768203526495697559385345798645130966232566273977564311 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 8, 2022 21:05:19 UTC 2022 年 9 月 9 日 (金) 6 時 5 分 19 秒 (日本時間)
4511e680641792Dmitry DomanovSeptember 29, 2022 21:35:08 UTC 2022 年 9 月 30 日 (金) 6 時 35 分 8 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:12:02 UTC 2022 年 10 月 25 日 (火) 19 時 12 分 2 秒 (日本時間)
4480Ignacio SantosNovember 4, 2022 13:33:39 UTC 2022 年 11 月 4 日 (金) 22 時 33 分 39 秒 (日本時間)

37×10293+449

c282

composite cofactor 合成数の残り
171908287919179335830036129805893047721331853559252324520374630356463729152729619066371131445923847747153235395889657952608979110783378827027153772490741450038967377985296107128657437225902667899092690559454814962464872093563139769515328957474579262386205898269156918710084532220091<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:16:25 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 25 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:16:25 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 25 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:33 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 33 秒 (日本時間)

37×10295+449

c254

composite cofactor 合成数の残り
67998537830777317698152674015519452131855900220682866409902217908338916124506124361329533169558001597767653393903904251277120787455814602368338671573125840383305361397962423246350677578068486336058995604006113724855075307123906877640848535388536919101021<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:16:37 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 37 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:16:37 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 37 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:25 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 25 秒 (日本時間)

37×10296+449

c268

composite cofactor 合成数の残り
1787046768388326266935482038953271962491113422616568348156830116954651197641980089951098722174025971963998534031435340392353238606861865395687580570622098652859260049028846743716676608572298054291226506285627447586656019335530999388922724441811013120808324032119790669<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:16:48 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 48 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:16:48 UTC 2022 年 9 月 23 日 (金) 18 時 16 分 48 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:18 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 18 秒 (日本時間)

37×10297+449

c288

composite cofactor 合成数の残り
592108726206430016003912164900876086650968727486179890596772227663787831927463115841051264301556289108622536769632318736537982831604950454321994661633116202909070588873782748617718289957022420544437619940092048337933608780789284814986180041824541488495237865359083610794538260292217768687<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 23, 2022 09:17:00 UTC 2022 年 9 月 23 日 (金) 18 時 17 分 0 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 23, 2022 09:17:00 UTC 2022 年 9 月 23 日 (金) 18 時 17 分 0 秒 (日本時間)
1792Dmitry DomanovOctober 20, 2022 23:06:03 UTC 2022 年 10 月 21 日 (金) 8 時 6 分 3 秒 (日本時間)

37×10298+449

c212

composite cofactor 合成数の残り
40307982865367982638745172751918941360646260307506055560993078530120199969671321242511132534362014619823959658990401676255060972145386128794649695681522792193411649044049507841993113283338950397258704227978706353<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 29, 2022 21:35:14 UTC 2022 年 9 月 30 日 (金) 6 時 35 分 14 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovSeptember 29, 2022 21:35:14 UTC 2022 年 9 月 30 日 (金) 6 時 35 分 14 秒 (日本時間)
1792Dmitry DomanovOctober 25, 2022 10:12:10 UTC 2022 年 10 月 25 日 (火) 19 時 12 分 10 秒 (日本時間)

37×10300+449

c255

composite cofactor 合成数の残り
122530305909364667635744071990981422828794561994466335245248742780781963337931575512072592982690537218303480076288263318427912925509205052116385969266568180575148748954135573278860008693721131792844880409928091381060766813012680085405250743198207437124163<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 1, 2022 07:37:32 UTC 2022 年 7 月 1 日 (金) 16 時 37 分 32 秒 (日本時間)
4511e63584Dmitry DomanovJuly 9, 2022 14:14:24 UTC 2022 年 7 月 9 日 (土) 23 時 14 分 24 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 9, 2022 14:14:24 UTC 2022 年 7 月 9 日 (土) 23 時 14 分 24 秒 (日本時間)