Table of contents 目次

43×10108+29

c101

name 名前Dmitry Domanov
date 日付June 29, 2022 19:04:17 UTC 2022 年 6 月 30 日 (木) 4 時 4 分 17 秒 (日本時間)
composite number 合成数
12948055405061512052795839246100473750617758498520754830364963627789198655215447418419453508700519001<101>
prime factors 素因数
728697582674179198952649456098867907509667976549<48>
17768764042752348455129661526895904449374111574526949<53>
factorization results 素因数分解の結果
N=12948055405061512052795839246100473750617758498520754830364963627789198655215447418419453508700519001
  ( 101 digits)
SNFS difficulty: 109 digits.
Divisors found:
p48 factor: 728697582674179198952649456098867907509667976549
p53 factor: 17768764042752348455129661526895904449374111574526949
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12948055405061512052795839246100473750617758498520754830364963627789198655215447418419453508700519001
m: 1000000000000000000000000000
deg: 4
c4: 43
c0: 2
skew: 0.46
# Murphy_E = 1.61e-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, 375001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39556 x 39781
Total sieving time: 0.13 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: 0.13 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)

43×10113+29

c93

name 名前Dmitry Domanov
date 日付June 29, 2022 22:01:55 UTC 2022 年 6 月 30 日 (木) 7 時 1 分 55 秒 (日本時間)
composite number 合成数
225043322469349153518802894274980641970389083771128400793342573330152131064953468812012642193<93>
prime factors 素因数
909197944759346276902011356427024538972743191<45>
247518512075954378653545876122313607158659356823<48>
factorization results 素因数分解の結果
N=225043322469349153518802894274980641970389083771128400793342573330152131064953468812012642193
  ( 93 digits)
SNFS difficulty: 114 digits.
Divisors found:
p45 factor: 909197944759346276902011356427024538972743191
p48 factor: 247518512075954378653545876122313607158659356823
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 225043322469349153518802894274980641970389083771128400793342573330152131064953468812012642193
m: 10000000000000000000000000000
deg: 4
c4: 215
c0: 1
skew: 0.26
# Murphy_E = 8.928e-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 : 50516 x 50741
Total sieving time: 0.24 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.25 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)

43×10116+29

c115

name 名前Dmitry Domanov
date 日付June 29, 2022 22:39:06 UTC 2022 年 6 月 30 日 (木) 7 時 39 分 6 秒 (日本時間)
composite number 合成数
2319309600862998921251348435814455231930960086299892125134843581445523193096008629989212513484358144552319309600863<115>
prime factors 素因数
164481665503857427573109706800001109392487038329<48>
14100718118084756518847388990022168005494740192460367281429021738647<68>
factorization results 素因数分解の結果
N=2319309600862998921251348435814455231930960086299892125134843581445523193096008629989212513484358144552319309600863
  ( 115 digits)
SNFS difficulty: 117 digits.
Divisors found:
p48 factor: 164481665503857427573109706800001109392487038329
p68 factor: 14100718118084756518847388990022168005494740192460367281429021738647
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2319309600862998921251348435814455231930960086299892125134843581445523193096008629989212513484358144552319309600863
m: 100000000000000000000000000000
deg: 4
c4: 43
c0: 2
skew: 0.46
# Murphy_E = 6.842e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46601 x 46826
Total sieving time: 0.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.57 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)

43×10129+29

c108

name 名前Ignacio Santos
date 日付June 30, 2022 14:05:35 UTC 2022 年 6 月 30 日 (木) 23 時 5 分 35 秒 (日本時間)
composite number 合成数
104637591993976219696668730859802861385412266452964101623424856822297958395191642330512946565060559740647421<108>
prime factors 素因数
374398072535985421111927759827586250672895242526119<51>
279482186660880674048861564341315142910177320518217865659<57>
factorization results 素因数分解の結果
N=104637591993976219696668730859802861385412266452964101623424856822297958395191642330512946565060559740647421
  ( 108 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=374398072535985421111927759827586250672895242526119 (pp51)
 r2=279482186660880674048861564341315142910177320518217865659 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.18 hours.
Scaled time: 16.64 units (timescale=7.634).
Factorization parameters were as follows:
n: 104637591993976219696668730859802861385412266452964101623424856822297958395191642330512946565060559740647421
m: 100000000000000000000000000000000
deg: 4
c4: 215
c0: 1
skew: 0.26
# Murphy_E = 1.542e-08
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 1020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 121708 x 121933
Total sieving time: 2.16 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,130.000,4,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,100000
total time: 2.18 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)

43×10132+29

c112

name 名前Eric Jeancolas
date 日付July 4, 2022 07:43:56 UTC 2022 年 7 月 4 日 (月) 16 時 43 分 56 秒 (日本時間)
composite number 合成数
6069768556231631527398389011023897855381624975055745452280399402813282804168984697895196551687423220114121189691<112>
prime factors 素因数
5345304419783729926247400502689517<34>
198511995902066069410855152152835067<36>
5720222631185543128733615723460385605378469<43>
factorization results 素因数分解の結果
6069768556231631527398389011023897855381624975055745452280399402813282804168984697895196551687423220114121189691=5345304419783729926247400502689517*198511995902066069410855152152835067*5720222631185543128733615723460385605378469

cado polynomial
n: 6069768556231631527398389011023897855381624975055745452280399402813282804168984697895196551687423220114121189691
skew: 0.46
type: snfs
c0: 2
c4: 43
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^4+2
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1180000
tasks.lim1 = 1180000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 5720222631185543128733615723460385605378469 5345304419783729926247400502689517 198511995902066069410855152152835067
Info:Square Root: Total cpu/real time for sqrt: 24.5/8.30584
Info:Quadratic Characters: Total cpu/real time for characters: 3.19/1.25431
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.8/45.9819
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.0s
Info:Square Root: Total cpu/real time for sqrt: 24.5/8.30584
Info:Linear Algebra: Total cpu/real time for bwc: 139.71/37.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 78.76, WCT time 20.81, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Linear Algebra: Lingen CPU time 11.76, WCT time 3.03
Info:Linear Algebra: Mksol: CPU time 43.3,  WCT time 11.61, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54/45.582
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6112899
Info:Lattice Sieving: Average J: 1891.05 for 54501 special-q, max bucket fill -bkmult 1.0,1s:1.316960
Info:Lattice Sieving: Total time: 5563.64s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.38/11.3787
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.36/23.6472
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.5s
Info:Filtering - Merging: Merged matrix has 101371 rows and total weight 17251425 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20.36/5.64114
Info:Filtering - Merging: Total cpu/real time for replay: 3.1/2.56272
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.334126
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10337/3075.45
Info:root: Cleaning up computation data in /tmp/cado._0ervdfs
5720222631185543128733615723460385605378469 5345304419783729926247400502689517 198511995902066069410855152152835067
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)

43×10134+29

c133

name 名前Bob Backstrom
date 日付June 29, 2022 21:25:58 UTC 2022 年 6 月 30 日 (木) 6 時 25 分 58 秒 (日本時間)
composite number 合成数
8237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651341<133>
prime factors 素因数
111577880130548858588722177862454165185299<42>
73827786323616950570576311435464533420916628265819877038235892978074914655468834182057171359<92>
factorization results 素因数分解の結果
Number: n
N=8237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651341  ( 133 digits)
SNFS difficulty: 135 digits.
Divisors found:

Thu Jun 30 07:22:36 2022  p42 factor: 111577880130548858588722177862454165185299
Thu Jun 30 07:22:36 2022  p92 factor: 73827786323616950570576311435464533420916628265819877038235892978074914655468834182057171359
Thu Jun 30 07:22:36 2022  elapsed time 00:02:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 43x10^134+2 = 47(133)8
#
n: 8237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651341
m: 1000000000000000000000000000000000
deg: 4
c4: 2150
c0: 1
skew: 0.15
# Murphy_E = 7.473e-09
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6230000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 506605 hash collisions in 6412848 relations (6593137 unique)
Msieve: matrix is 218058 x 218306 (58.0 MB)

Sieving start time : 2022/06/30 07:10:42
Sieving end time  : 2022/06/30 07:19:48

Total sieving time: 0hrs 9min 6secs.

Total relation processing time: 0hrs 0min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,135,4,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,100000
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)

43×10136+29

c131

name 名前Bob Backstrom
date 日付June 29, 2022 21:44:07 UTC 2022 年 6 月 30 日 (木) 6 時 44 分 7 秒 (日本時間)
composite number 合成数
24430838172059688969294754426328125701321299270608803987749127790669306106243692724598660985530921316451737788245539695964468698017<131>
prime factors 素因数
1052006401503778131227005239225284460959786310641485594871789<61>
23223088887232355013366697192339179609229601788059449396252900743758853<71>
factorization results 素因数分解の結果
Number: n
N=24430838172059688969294754426328125701321299270608803987749127790669306106243692724598660985530921316451737788245539695964468698017  ( 131 digits)
SNFS difficulty: 137 digits.
Divisors found:

Thu Jun 30 07:41:11 2022  p61 factor: 1052006401503778131227005239225284460959786310641485594871789
Thu Jun 30 07:41:11 2022  p71 factor: 23223088887232355013366697192339179609229601788059449396252900743758853
Thu Jun 30 07:41:11 2022  elapsed time 00:02:59 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 43x10^136+2 = 47(135)8
#
n: 24430838172059688969294754426328125701321299270608803987749127790669306106243692724598660985530921316451737788245539695964468698017
m: 10000000000000000000000000000000000
deg: 4
c4: 43
c0: 2
skew: 0.46
# Murphy_E = 7.364e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6290000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 507856 hash collisions in 6465218 relations (6653765 unique)
Msieve: matrix is 205483 x 205731 (66.8 MB)

Sieving start time : 2022/06/30 07:28:58
Sieving end time  : 2022/06/30 07:38:01

Total sieving time: 0hrs 9min 3secs.

Total relation processing time: 0hrs 0min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
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)

43×10139+29

c139

name 名前Bob Backstrom
date 日付June 29, 2022 20:12:51 UTC 2022 年 6 月 30 日 (木) 5 時 12 分 51 秒 (日本時間)
composite number 合成数
7962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<139>
prime factors 素因数
1688830051912113207652145313500549987<37>
4715076543046591828415627517503584565954642424178911253301212676896387590366367736566676427306354152849<103>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (139 digits)
Using B1=16130000, B2=58558467250, polynomial Dickson(12), sigma=1:276731185
Step 1 took 31370ms
Step 2 took 14224ms
********** Factor found in step 2: 1688830051912113207652145313500549987
Found prime factor of 37 digits: 1688830051912113207652145313500549987
Prime cofactor 4715076543046591828415627517503584565954642424178911253301212676896387590366367736566676427306354152849 has 103 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)

43×10140+29

c121

name 名前Eric Jeancolas
date 日付July 4, 2022 19:34:24 UTC 2022 年 7 月 5 日 (火) 4 時 34 分 24 秒 (日本時間)
composite number 合成数
5627949414997558681452818277343536323577634289867796298669875600241857739526335152033438326097668433583923425191062408331<121>
prime factors 素因数
150737186709235874259315040312805395271981<42>
37336171238578161009084665988755754891306858350673397484007233716418040026003351<80>
factorization results 素因数分解の結果
5627949414997558681452818277343536323577634289867796298669875600241857739526335152033438326097668433583923425191062408331=150737186709235874259315040312805395271981*37336171238578161009084665988755754891306858350673397484007233716418040026003351

cado polynomial
n: 5627949414997558681452818277343536323577634289867796298669875600241857739526335152033438326097668433583923425191062408331
skew: 0.46
type: snfs
c0: 2
c4: 43
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^4+2
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1610000
tasks.lim1 = 1610000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 37336171238578161009084665988755754891306858350673397484007233716418040026003351 150737186709235874259315040312805395271981
Info:Square Root: Total cpu/real time for sqrt: 40.49/13.0993
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6104395
Info:Lattice Sieving: Average J: 1892.78 for 97000 special-q, max bucket fill -bkmult 1.0,1s:1.319560
Info:Lattice Sieving: Total time: 8807.55s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.6/11.1688
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.91/24.2021
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.63/45.7561
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.0s
Info:Filtering - Merging: Merged matrix has 159093 rows and total weight 27079815 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.59/9.08085
Info:Filtering - Merging: Total cpu/real time for replay: 4.87/4.06989
Info:Linear Algebra: Total cpu/real time for bwc: 336.42/88.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 194.68, WCT time 50.18, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Linear Algebra: Lingen CPU time 19.99, WCT time 5.13
Info:Linear Algebra: Mksol: CPU time 108.58,  WCT time 28.09, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/0.46624
Info:Quadratic Characters: Total cpu/real time for characters: 4.88/1.92084
Info:Square Root: Total cpu/real time for sqrt: 40.49/13.0993
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.38/38.7889
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16447.2/4743.07
Info:root: Cleaning up computation data in /tmp/cado.cj5j9jex
37336171238578161009084665988755754891306858350673397484007233716418040026003351 150737186709235874259315040312805395271981
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)

43×10142+29

c123

name 名前Eric Jeancolas
date 日付July 5, 2022 03:00:18 UTC 2022 年 7 月 5 日 (火) 12 時 0 分 18 秒 (日本時間)
composite number 合成数
123531280884134428273427501643970080009230628679375683487847241125859747129551291576085826844164926057432263135815791570673<123>
prime factors 素因数
22354090637583945342507573956467727445937817<44>
5526115237111959063340888047489040635639143618650109229822531006779981999378969<79>
factorization results 素因数分解の結果
123531280884134428273427501643970080009230628679375683487847241125859747129551291576085826844164926057432263135815791570673=22354090637583945342507573956467727445937817*5526115237111959063340888047489040635639143618650109229822531006779981999378969

cado polynomial
n: 123531280884134428273427501643970080009230628679375683487847241125859747129551291576085826844164926057432263135815791570673
skew: 0.15
type: snfs
c0: 1
c4: 2150
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 2150*x^4+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1710000
tasks.lim1 = 1710000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5526115237111959063340888047489040635639143618650109229822531006779981999378969 22354090637583945342507573956467727445937817
Info:Square Root: Total cpu/real time for sqrt: 30.31/13.2829
Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.78/60.7957
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6075275
Info:Lattice Sieving: Average J: 1891.79 for 140794 special-q, max bucket fill -bkmult 1.0,1s:1.332050
Info:Lattice Sieving: Total time: 18182.9s
Info:Linear Algebra: Total cpu/real time for bwc: 733.53/621.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 330.4, WCT time 277.94, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 206.61, WCT time 173.33
Info:Linear Algebra: Mksol: CPU time 178.88,  WCT time 154.48, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3072 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.9/25.2572
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.52/40.6607
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.4s
Info:Filtering - Merging: Merged matrix has 192752 rows and total weight 32799237 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.81/33.0458
Info:Filtering - Merging: Total cpu/real time for replay: 6.39/6.72642
Info:Generate Factor Base: Total cpu/real time for makefb: 0.87/1.15859
Info:Quadratic Characters: Total cpu/real time for characters: 5.92/4.92921
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 52.09/80.8099
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.5s
Info:Square Root: Total cpu/real time for sqrt: 30.31/13.2829
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22836.9/10130.3
Info:root: Cleaning up computation data in /tmp/cado.ho8ak3jl
5526115237111959063340888047489040635639143618650109229822531006779981999378969 22354090637583945342507573956467727445937817
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)

43×10147+29

c139

name 名前Bob Backstrom
date 日付July 2, 2022 17:52:40 UTC 2022 年 7 月 3 日 (日) 2 時 52 分 40 秒 (日本時間)
composite number 合成数
7124564048298681559690991194511708530593416342199025185136079817847019884810359959674609601551687368610177454389772849622052298983769780167<139>
prime factors 素因数
4599907080523828161875567882822783409198353266766595365119<58>
1548849557953972962150830161298769644493024765719633279753380814205804781935943993<82>
factorization results 素因数分解の結果
Number: n
N=7124564048298681559690991194511708530593416342199025185136079817847019884810359959674609601551687368610177454389772849622052298983769780167  ( 139 digits)
SNFS difficulty: 148 digits.
Divisors found:

Sun Jul  3 03:45:18 2022  p58 factor: 4599907080523828161875567882822783409198353266766595365119
Sun Jul  3 03:45:18 2022  p82 factor: 1548849557953972962150830161298769644493024765719633279753380814205804781935943993
Sun Jul  3 03:45:18 2022  elapsed time 00:04:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 3x10^147+2 = 47(146)8
#
n: 7124564048298681559690991194511708530593416342199025185136079817847019884810359959674609601551687368610177454389772849622052298983769780167
m: 100000000000000000000000000000
deg: 5
c5: 2150
c0: 1
skew: 0.22
# Murphy_E = 1.586e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 804767 hash collisions in 7537439 relations (7208244 unique)
Msieve: matrix is 338852 x 339077 (113.6 MB)

Sieving start time : 2022/07/03 03:23:33
Sieving end time  : 2022/07/03 03:40:49

Total sieving time: 0hrs 17min 16secs.

Total relation processing time: 0hrs 1min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 33sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
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)

43×10151+29

c126

name 名前Eric Jeancolas
date 日付July 6, 2022 02:34:30 UTC 2022 年 7 月 6 日 (水) 11 時 34 分 30 秒 (日本時間)
composite number 合成数
159487081738275477104851482362865612124876267736950662386042909930761945018015009747203496433360654768954275934061990354357347<126>
prime factors 素因数
21189858552457072371358511492926899857766028067<47>
7526576043131828034705941884365027199580685345584911836938568290817317526459841<79>
factorization results 素因数分解の結果
159487081738275477104851482362865612124876267736950662386042909930761945018015009747203496433360654768954275934061990354357347=21189858552457072371358511492926899857766028067*7526576043131828034705941884365027199580685345584911836938568290817317526459841

cado polynomial
n: 159487081738275477104851482362865612124876267736950662386042909930761945018015009747203496433360654768954275934061990354357347
skew: 0.34
type: snfs
c0: 1
c5: 215
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 215*x^5+1
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
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: 21189858552457072371358511492926899857766028067 7526576043131828034705941884365027199580685345584911836938568290817317526459841
Info:Square Root: Total cpu/real time for sqrt: 42.86/34.4173
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11677044
Info:Lattice Sieving: Average J: 1894.16 for 143962 special-q, max bucket fill -bkmult 1.0,1s:1.234880
Info:Lattice Sieving: Total time: 35965.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.29/17.3211
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.28/77.3107
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.92/154.492
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.5s
Info:Filtering - Merging: Merged matrix has 243152 rows and total weight 41444155 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 52.75/40.8839
Info:Filtering - Merging: Total cpu/real time for replay: 8.3/8.93416
Info:Linear Algebra: Total cpu/real time for bwc: 1062.55/1032.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 517.62, WCT time 510.85, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7680 iterations)
Info:Linear Algebra: Lingen CPU time 236.51, WCT time 211.57
Info:Linear Algebra: Mksol: CPU time 285.83,  WCT time 288.76, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.05/0.578539
Info:Quadratic Characters: Total cpu/real time for characters: 7.95/6.53892
Info:Square Root: Total cpu/real time for sqrt: 42.86/34.4173
Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.5/134.933
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34642/19721.4
Info:root: Cleaning up computation data in /tmp/cado._drhfrrx
21189858552457072371358511492926899857766028067 7526576043131828034705941884365027199580685345584911836938568290817317526459841
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)

43×10152+29

c131

name 名前Bob Backstrom
date 日付July 1, 2022 14:35:56 UTC 2022 年 7 月 1 日 (金) 23 時 35 分 56 秒 (日本時間)
composite number 合成数
39253170039507306550445767414988438834492406052456348184772777188061122600063574389319155816792834077548689963705773289431890067537<131>
prime factors 素因数
871111193796473286592566586159796651<36>
108896398943626848637023760490180912447868241<45>
413797271490204345600663729602031979032592010914307<51>
factorization results 素因数分解の結果
Number: n
N=45061032757981560790759910043230537380131414194395126195188823397651405043284824706827477823987  ( 95 digits)
SNFS difficulty: 153 digits.
Divisors found:

Sat Jul  2 00:32:29 2022  p45 factor: 108896398943626848637023760490180912447868241
Sat Jul  2 00:32:29 2022  p51 factor: 413797271490204345600663729602031979032592010914307
Sat Jul  2 00:32:29 2022  elapsed time 00:05:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 43x10^152+2 = 47(151)8
#
# n: 39253170039507306550445767414988438834492406052456348184772777188061122600063574389319155816792834077548689963705773289431890067537
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 39253170039507306550445767414988438834492406052456348184772777188061122600063574389319155816792834077548689963705773289431890067537 (131 digits)
# Using B1=17500000, B2=58559766730, polynomial Dickson(12), sigma=1:1086855979
# Step 1 took 26605ms
# Step 2 took 12564ms
# ********** Factor found in step 2: 871111193796473286592566586159796651
# Found prime factor of 36 digits: 871111193796473286592566586159796651
# Composite cofactor 45061032757981560790759910043230537380131414194395126195188823397651405043284824706827477823987 has 95 digits
#
n: 45061032757981560790759910043230537380131414194395126195188823397651405043284824706827477823987
m: 100000000000000000000000000000000000000
deg: 4
c4: 43
c0: 2
skew: 0.46
# Murphy_E = 1.138e-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 1310503 hash collisions in 13666755 relations (13751792 unique)
Msieve: matrix is 370668 x 370895 (124.7 MB)

Sieving start time : 2022/07/01 23:44:38
Sieving end time  : 2022/07/02 00:26:31

Total sieving time: 0hrs 41min 53secs.

Total relation processing time: 0hrs 2min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118735] 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)
[    0.153513] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152037] smpboot: Total of 16 processors activated (102387.96 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)

43×10154+29

c132

name 名前Bob Backstrom
date 日付July 1, 2022 09:16:21 UTC 2022 年 7 月 1 日 (金) 18 時 16 分 21 秒 (日本時間)
composite number 合成数
111993150105700421726037668865294155685015320313193570278957224907084488127723045516836297955649067847199320868345659956046992526341<132>
prime factors 素因数
29652728759356439593502311333235521601<38>
3776824420260573562984662087591443651843530613571312900900075138595754050422045165506639020741<94>
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 111993150105700421726037668865294155685015320313193570278957224907084488127723045516836297955649067847199320868345659956046992526341 (132 digits)
Using B1=16230000, B2=58558467250, polynomial Dickson(12), sigma=1:2491036159
Step 1 took 24650ms
Step 2 took 12756ms
********** Factor found in step 2: 29652728759356439593502311333235521601
Found prime factor of 38 digits: 29652728759356439593502311333235521601
Prime cofactor 3776824420260573562984662087591443651843530613571312900900075138595754050422045165506639020741 has 94 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)

43×10157+29

c117

name 名前Eric Jeancolas
date 日付July 6, 2022 18:59:23 UTC 2022 年 7 月 7 日 (木) 3 時 59 分 23 秒 (日本時間)
composite number 合成数
416451104642491299333315245509933303885739817145510169287538497217094436847201814589147107806518209730342309243209703<117>
prime factors 素因数
15503040435307212490248313858248772506534197811853678631<56>
26862543923580935323810063630820631110699867061276720537512513<62>
factorization results 素因数分解の結果
416451104642491299333315245509933303885739817145510169287538497217094436847201814589147107806518209730342309243209703=15503040435307212490248313858248772506534197811853678631*26862543923580935323810063630820631110699867061276720537512513

cado polynomial
n: 416451104642491299333315245509933303885739817145510169287538497217094436847201814589147107806518209730342309243209703
skew: 0.22
type: snfs
c0: 1
c5: 2150
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 2150*x^5+1
# 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: 26862543923580935323810063630820631110699867061276720537512513 15503040435307212490248313858248772506534197811853678631
Info:Square Root: Total cpu/real time for sqrt: 114.01/34.9694
Info:Quadratic Characters: Total cpu/real time for characters: 10.17/4.01109
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.1/83.4534
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.0s
Info:Square Root: Total cpu/real time for sqrt: 114.01/34.9694
Info:Linear Algebra: Total cpu/real time for bwc: 1444.16/373.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 880.96, WCT time 225.18, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10368 iterations)
Info:Linear Algebra: Lingen CPU time 50.67, WCT time 12.91
Info:Linear Algebra: Mksol: CPU time 484.38,  WCT time 123.92, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5248 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.9/75.9032
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11637936
Info:Lattice Sieving: Average J: 1894.33 for 244687 special-q, max bucket fill -bkmult 1.0,1s:1.239280
Info:Lattice Sieving: Total time: 29207.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.95/17.2712
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.19/48.2362
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s
Info:Filtering - Merging: Merged matrix has 329024 rows and total weight 56036195 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.37/19.3889
Info:Filtering - Merging: Total cpu/real time for replay: 10.14/8.45853
Info:Generate Factor Base: Total cpu/real time for makefb: 1.32/0.72271
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 55334.3/15401.8
Info:root: Cleaning up computation data in /tmp/cado.xk7qs4dj
26862543923580935323810063630820631110699867061276720537512513 15503040435307212490248313858248772506534197811853678631
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)

43×10165+29

c163

name 名前Bob Backstrom
date 日付July 2, 2022 00:32:03 UTC 2022 年 7 月 2 日 (土) 9 時 32 分 3 秒 (日本時間)
composite number 合成数
6884406019852705731668267691322446365674031380083253282100544348382965097662504002561639449247518411783541466538584694204290746077489593339737431956452129362792187<163>
prime factors 素因数
401925278552159165986878851655547635135467<42>
17128571869508062574890802369796102875468216316292115066304642315100673196010265159881726531420754395035432988501223546161<122>
factorization results 素因数分解の結果
Number: n
N=6884406019852705731668267691322446365674031380083253282100544348382965097662504002561639449247518411783541466538584694204290746077489593339737431956452129362792187  ( 163 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Jul  2 10:27:47 2022  p42 factor: 401925278552159165986878851655547635135467
Sat Jul  2 10:27:47 2022  p122 factor: 17128571869508062574890802369796102875468216316292115066304642315100673196010265159881726531420754395035432988501223546161
Sat Jul  2 10:27:47 2022  elapsed time 00:07:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 43x10^165+2 = 47(164)8
#
n: 6884406019852705731668267691322446365674031380083253282100544348382965097662504002561639449247518411783541466538584694204290746077489593339737431956452129362792187
m: 1000000000000000000000000000000000
deg: 5
c5: 43
c0: 2
skew: 0.54
# Murphy_E = 4.101e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1255521 hash collisions in 13415484 relations (13014873 unique)
Msieve: matrix is 531999 x 532227 (183.0 MB)

Sieving start time : 2022/07/02 09:28:17
Sieving end time  : 2022/07/02 10:19:46

Total sieving time: 0hrs 51min 29secs.

Total relation processing time: 0hrs 4min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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)

43×10166+29

c148

name 名前Bob Backstrom
date 日付July 2, 2022 12:49:03 UTC 2022 年 7 月 2 日 (土) 21 時 49 分 3 秒 (日本時間)
composite number 合成数
5510057761501598591057971391878925152757681661251321590475766044015657086741879529183446346913867598288396907873652354167515627314293498585956014137<148>
prime factors 素因数
1567820224140307097160421138918953889<37>
2927569348290714606271580185128463671590203290985243<52>
1200473832144751157244003739187208474716471877434674153027931<61>
factorization results 素因数分解の結果
Number: n
N=5510057761501598591057971391878925152757681661251321590475766044015657086741879529183446346913867598288396907873652354167515627314293498585956014137  ( 148 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jul  2 22:42:23 2022  found factor: 1200473832144751157244003739187208474716471877434674153027931
Sat Jul  2 22:44:17 2022  found factor: 1200473832144751157244003739187208474716471877434674153027931
Sat Jul  2 22:44:56 2022  p37 factor: 1567820224140307097160421138918953889
Sat Jul  2 22:44:56 2022  p52 factor: 2927569348290714606271580185128463671590203290985243
Sat Jul  2 22:44:56 2022  p61 factor: 1200473832144751157244003739187208474716471877434674153027931
Sat Jul  2 22:44:56 2022  elapsed time 00:11:45 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 43x10^166+2 = 47(165)8
#
n: 5510057761501598591057971391878925152757681661251321590475766044015657086741879529183446346913867598288396907873652354167515627314293498585956014137
m: 1000000000000000000000000000000000
deg: 5
c5: 215
c0: 1
skew: 0.34
# Murphy_E = 3.465e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1059500 hash collisions in 11826387 relations (11513184 unique)
Msieve: matrix is 612339 x 612564 (210.8 MB)

Sieving start time : 2022/07/02 21:26:52
Sieving end time  : 2022/07/02 22:32:38

Total sieving time: 1hrs 5min 46secs.

Total relation processing time: 0hrs 5min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
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)

43×10168+29

c151

name 名前Bob Backstrom
date 日付July 8, 2022 16:22:38 UTC 2022 年 7 月 9 日 (土) 1 時 22 分 38 秒 (日本時間)
composite number 合成数
2055173066435649046658197244283906741861932276452040709024134908879402482672847208229097901053411157454031554737158545000873003043278325821660190535237<151>
prime factors 素因数
119149493305667977409384429095094093175916842161491<51>
17248693296271733643314859271104357788049915555556749136566796669096713030462118277753834723983532807<101>
factorization results 素因数分解の結果
Number: n
N=2055173066435649046658197244283906741861932276452040709024134908879402482672847208229097901053411157454031554737158545000873003043278325821660190535237  ( 151 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat Jul  9 02:15:50 2022  p51 factor: 119149493305667977409384429095094093175916842161491
Sat Jul  9 02:15:50 2022  p101 factor: 17248693296271733643314859271104357788049915555556749136566796669096713030462118277753834723983532807
Sat Jul  9 02:15:50 2022  elapsed time 00:13:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 43x10^168+2 = 47(167)8
#
n: 2055173066435649046658197244283906741861932276452040709024134908879402482672847208229097901053411157454031554737158545000873003043278325821660190535237
m: 1000000000000000000000000000000000
deg: 5
c5: 21500
c0: 1
skew: 0.14
# Murphy_E = 2.142e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1151686 hash collisions in 11932733 relations (11517887 unique)
Msieve: matrix is 794337 x 794562 (275.7 MB)

Sieving start time : 2022/07/09 01:02:43
Sieving end time  : 2022/07/09 02:02:09

Total sieving time: 0hrs 59min 26secs.

Total relation processing time: 0hrs 9min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
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)

43×10170+29

c146

name 名前Bob Backstrom
date 日付July 8, 2022 16:41:28 UTC 2022 年 7 月 9 日 (土) 1 時 41 分 28 秒 (日本時間)
composite number 合成数
52176689336910664918897785831271208942468701211049832875501662981329069751209694135664514657735320008546195788354861803438893336291890555470162653<146>
prime factors 素因数
306660006854120344280717308739390896968414515243858375419331<60>
170145073275666395033650819829038770938540541067097399223244723520278950932981512880863<87>
factorization results 素因数分解の結果
Number: n
N=52176689336910664918897785831271208942468701211049832875501662981329069751209694135664514657735320008546195788354861803438893336291890555470162653  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jul  8 21:38:10 2022  p60 factor: 306660006854120344280717308739390896968414515243858375419331
Fri Jul  8 21:38:10 2022  p87 factor: 170145073275666395033650819829038770938540541067097399223244723520278950932981512880863
Fri Jul  8 21:38:10 2022  elapsed time 00:12:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 43x10^170+2 = 47(169)8
#
n: 52176689336910664918897785831271208942468701211049832875501662981329069751209694135664514657735320008546195788354861803438893336291890555470162653
m: 10000000000000000000000000000000000
deg: 5
c5: 43
c0: 2
skew: 0.54
# Murphy_E = 2.601e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1066032 hash collisions in 12050402 relations (11751634 unique)
Msieve: matrix is 739272 x 739497 (258.1 MB)

Sieving start time : 2022/07/08 20:33:48
Sieving end time  : 2022/07/08 21:25:01

Total sieving time: 0hrs 51min 13secs.

Total relation processing time: 0hrs 8min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
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)

43×10171+29

c153

name 名前Bob Backstrom
date 日付July 3, 2022 02:07:21 UTC 2022 年 7 月 3 日 (日) 11 時 7 分 21 秒 (日本時間)
composite number 合成数
329915657740182955511561565971432196762183163000669017429322656215682434484632482061352552280370642571444303638222515243940412125467034054424990020049079<153>
prime factors 素因数
668380569482662146831595101933585415117<39>
493604501392886463734902369072460305735681486491146010033546608337094937374378349876862935224372319614259265456787<114>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 329915657740182955511561565971432196762183163000669017429322656215682434484632482061352552280370642571444303638222515243940412125467034054424990020049079 (153 digits)
Using B1=18260000, B2=58560741340, polynomial Dickson(12), sigma=1:2306213984
Step 1 took 34847ms
Step 2 took 14480ms
********** Factor found in step 2: 668380569482662146831595101933585415117
Found prime factor of 39 digits: 668380569482662146831595101933585415117
Prime cofactor 493604501392886463734902369072460305735681486491146010033546608337094937374378349876862935224372319614259265456787 has 114 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)

43×10172+29

c161

name 名前Bob Backstrom
date 日付July 7, 2022 10:27:29 UTC 2022 年 7 月 7 日 (木) 19 時 27 分 29 秒 (日本時間)
composite number 合成数
20534713571483786346042807480229398403829864529506383190318988522905756752173048631856372467328059312723827209366675003702526102989747674512558856124395614088411<161>
prime factors 素因数
3379086395400772893424565536357275426633160095497<49>
6077001641459448039608135052096587130724485072429713796638436622170348592425389644987151705466974653679928359363<112>
factorization results 素因数分解の結果
Number: n
N=20534713571483786346042807480229398403829864529506383190318988522905756752173048631856372467328059312723827209366675003702526102989747674512558856124395614088411  ( 161 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Jul  7 20:23:37 2022  p49 factor: 3379086395400772893424565536357275426633160095497
Thu Jul  7 20:23:37 2022  p112 factor: 6077001641459448039608135052096587130724485072429713796638436622170348592425389644987151705466974653679928359363
Thu Jul  7 20:23:37 2022  elapsed time 00:15:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 43x10^172+2 = 47(171)8
#
n: 20534713571483786346042807480229398403829864529506383190318988522905756752173048631856372467328059312723827209366675003702526102989747674512558856124395614088411
m: 10000000000000000000000000000000000
deg: 5
c5: 2150
c0: 1
skew: 0.22
# Murphy_E = 1.699e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1242651 hash collisions in 12324764 relations (11832531 unique)
Msieve: matrix is 854933 x 855159 (297.8 MB)

Sieving start time : 2022/07/07 18:50:32
Sieving end time  : 2022/07/07 20:07:55

Total sieving time: 1hrs 17min 23secs.

Total relation processing time: 0hrs 11min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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)

43×10174+29

c107

name 名前Eric Jeancolas
date 日付June 30, 2022 18:58:16 UTC 2022 年 7 月 1 日 (金) 3 時 58 分 16 秒 (日本時間)
composite number 合成数
71731409550355878075228801248713669357877909524988536383770997111672765542264486675180876142955782624383359<107>
prime factors 素因数
24394170833814596756906003584631456553389511163997<50>
2940514356443038877722971201287274455435376725014435441547<58>
factorization results 素因数分解の結果
71731409550355878075228801248713669357877909524988536383770997111672765542264486675180876142955782624383359=24394170833814596756906003584631456553389511163997*2940514356443038877722971201287274455435376725014435441547

cado polynomial
n: 71731409550355878075228801248713669357877909524988536383770997111672765542264486675180876142955782624383359
skew: 11582.456
c0: 729130375646428705462441
c1: -243064251625461853423
c2: -7414176517321357
c3: -5552687947853
c4: -84411588
c5: 10260
Y0: -462135755565996820784
Y1: 268965527274901
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.946e-06
# f(x) = 10260*x^5-84411588*x^4-5552687947853*x^3-7414176517321357*x^2-243064251625461853423*x+729130375646428705462441
# g(x) = 268965527274901*x-462135755565996820784

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24394170833814596756906003584631456553389511163997 2940514356443038877722971201287274455435376725014435441547
Info:Square Root: Total cpu/real time for sqrt: 69.67/21.2664
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 67.32/71.7916
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.4s
Info:Square Root: Total cpu/real time for sqrt: 69.67/21.2664
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.76/49.4033
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5024600
Info:Lattice Sieving: Average J: 1893.76 for 59701 special-q, max bucket fill -bkmult 1.0,1s:1.252890
Info:Lattice Sieving: Total time: 5441.93s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.45/0.396853
Info:Linear Algebra: Total cpu/real time for bwc: 729.69/189.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 434.74, WCT time 111.45, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7680 iterations)
Info:Linear Algebra: Lingen CPU time 34.03, WCT time 8.71
Info:Linear Algebra: Mksol: CPU time 242.54,  WCT time 62.21, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.72/16.3672
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.69/21.3582
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.899999999999995s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 138.67
Info:Polynomial Selection (root optimized): Rootsieve time: 138.05
Info:Filtering - Merging: Merged matrix has 243852 rows and total weight 35373246 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.57/10.2703
Info:Filtering - Merging: Total cpu/real time for replay: 7.8/6.25418
Info:Quadratic Characters: Total cpu/real time for characters: 9.32/3.57333
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9921/30.800/37.903/43.730/1.120
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7658/29.780/33.594/38.290/0.908
Info:Polynomial Selection (size optimized): Total time: 492.26
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11430.4/3233.91
Info:root: Cleaning up computation data in /tmp/cado.h95erry3
24394170833814596756906003584631456553389511163997 2940514356443038877722971201287274455435376725014435441547
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)

43×10175+29

c151

name 名前Bob Backstrom
date 日付July 9, 2022 18:56:28 UTC 2022 年 7 月 10 日 (日) 3 時 56 分 28 秒 (日本時間)
composite number 合成数
4532236781898428505318990700309007355758255427587728529518406677939153933418484159238390097688503925293715300919781342974793822315021127094207620672571<151>
prime factors 素因数
695504184761005343283669946747316943505632358358572762961857733119<66>
6516476652769287946049621812179567473130480494806280357504132773527985986364192685509<85>
factorization results 素因数分解の結果
Number: n
N=4532236781898428505318990700309007355758255427587728529518406677939153933418484159238390097688503925293715300919781342974793822315021127094207620672571  ( 151 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Jul 10 04:52:17 2022  p66 factor: 695504184761005343283669946747316943505632358358572762961857733119
Sun Jul 10 04:52:17 2022  p85 factor: 6516476652769287946049621812179567473130480494806280357504132773527985986364192685509
Sun Jul 10 04:52:17 2022  elapsed time 00:15:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 43x10^175+2 = 47(174)8
#
n: 4532236781898428505318990700309007355758255427587728529518406677939153933418484159238390097688503925293715300919781342974793822315021127094207620672571
m: 100000000000000000000000000000000000
deg: 5
c5: 43
c0: 2
skew: 0.54
# Murphy_E = 1.642e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1300624 hash collisions in 11928236 relations (11327314 unique)
Msieve: matrix is 863021 x 863248 (302.2 MB)

Sieving start time : 2022/07/10 03:50:15
Sieving end time  : 2022/07/10 04:36:27

Total sieving time: 0hrs 46min 12secs.

Total relation processing time: 0hrs 11min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
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)

43×10179+29

c134

name 名前Bob Backstrom
date 日付July 15, 2022 15:01:06 UTC 2022 年 7 月 16 日 (土) 0 時 1 分 6 秒 (日本時間)
composite number 合成数
10709497590146574054468616072194701552584621402613986550173945540462730747720754266471957856661984893539291023559813533232578566636329<134>
prime factors 素因数
3899307694270349926510770491094048624491850422380292888269183<61>
2746512568342100828182660877565233979882800982898738989628362077202296663<73>
factorization results 素因数分解の結果
Number: n
N=10709497590146574054468616072194701552584621402613986550173945540462730747720754266471957856661984893539291023559813533232578566636329  ( 134 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sat Jul 16 00:56:45 2022  p61 factor: 3899307694270349926510770491094048624491850422380292888269183
Sat Jul 16 00:56:45 2022  p73 factor: 2746512568342100828182660877565233979882800982898738989628362077202296663
Sat Jul 16 00:56:45 2022  elapsed time 00:42:22 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 43x10^179+2 = 47(178)8
#
n: 10709497590146574054468616072194701552584621402613986550173945540462730747720754266471957856661984893539291023559813533232578566636329
m: 500000000000000000000000000000000000
deg: 5
c5: 344
c0: 5
skew: 0.43
# Murphy_E = 7.547e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1062282 hash collisions in 11727818 relations (11407612 unique)
Msieve: matrix is 1291193 x 1291419 (450.8 MB)

Sieving start time : 2022/07/15 22:26:10
Sieving end time  : 2022/07/16 00:14:05

Total sieving time: 1hrs 47min 55secs.

Total relation processing time: 0hrs 29min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 32sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,53,53,2.5,2.5,100000
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 12, 2022 12:12:30 UTC 2022 年 7 月 12 日 (火) 21 時 12 分 30 秒 (日本時間)

43×10184+29

c149

name 名前Bob Backstrom
date 日付October 10, 2022 14:10:10 UTC 2022 年 10 月 10 日 (月) 23 時 10 分 10 秒 (日本時間)
composite number 合成数
80714158597869507583181846744910713029403516206590797628687957089308048706152051035127327393662444762762944900554642308762005594150397413142945112249<149>
prime factors 素因数
8397247529504787582513575363974600023412247202184177<52>
9611978009969354619027780862226537972313862158254299292792711495514533361060350832560370504440137<97>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 80714158597869507583181846744910713029403516206590797628687957089308048706152051035127327393662444762762944900554642308762005594150397413142945112249 (149 digits)
Using B1=64510000, B2=388133141770, polynomial Dickson(30), sigma=1:3274033646
Step 1 took 108766ms
Step 2 took 37525ms
********** Factor found in step 2: 8397247529504787582513575363974600023412247202184177
Found prime factor of 52 digits: 8397247529504787582513575363974600023412247202184177
Prime cofactor 9611978009969354619027780862226537972313862158254299292792711495514533361060350832560370504440137 has 97 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 10, 2022 10:55:02 UTC 2022 年 7 月 10 日 (日) 19 時 55 分 2 秒 (日本時間)
4511e63915Norman PowellSeptember 3, 2022 13:37:20 UTC 2022 年 9 月 3 日 (土) 22 時 37 分 20 秒 (日本時間)

43×10185+29

c150

name 名前Ignacio Santos
date 日付July 10, 2022 11:11:31 UTC 2022 年 7 月 10 日 (日) 20 時 11 分 31 秒 (日本時間)
composite number 合成数
528887278091542735604151427643673476295554549376868789120755078490365282078584293614079709815962576943861334045152433004724684384382898734561593625111<150>
prime factors 素因数
6358218180540810626304691816217379912261758059<46>
composite cofactor 合成数の残り
83181681262557303194567407028213035151362843402524888070703080096915662312354588923185201575997518234629<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4125893590
Step 1 took 3531ms
Step 2 took 2391ms
********** Factor found in step 2: 6358218180540810626304691816217379912261758059
Found prime factor of 46 digits: 6358218180540810626304691816217379912261758059
Composite cofactor 83181681262557303194567407028213035151362843402524888070703080096915662312354588923185201575997518234629 has 104 digits
 
software ソフトウェア
GMP-ECM

c104

name 名前Eric Jeancolas
date 日付July 11, 2022 18:20:06 UTC 2022 年 7 月 12 日 (火) 3 時 20 分 6 秒 (日本時間)
composite number 合成数
83181681262557303194567407028213035151362843402524888070703080096915662312354588923185201575997518234629<104>
prime factors 素因数
4043412511102858979422101596988891569909152252583<49>
20572148163005293978030237223288190464214024706593109363<56>
factorization results 素因数分解の結果
83181681262557303194567407028213035151362843402524888070703080096915662312354588923185201575997518234629=4043412511102858979422101596988891569909152252583*20572148163005293978030237223288190464214024706593109363

cado polynomial
n: 83181681262557303194567407028213035151362843402524888070703080096915662312354588923185201575997518234629
skew: 21444.544
c0: -9706833656229936731159744
c1: 2935745663126598199964
c2: 55933781741794733
c3: -5223501582359
c4: 32625636
c5: 4320
Y0: -144281977865336354790
Y1: 5032863498807521
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.049e-06
# f(x) = 4320*x^5+32625636*x^4-5223501582359*x^3+55933781741794733*x^2+2935745663126598199964*x-9706833656229936731159744
# g(x) = 5032863498807521*x-144281977865336354790

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4043412511102858979422101596988891569909152252583 20572148163005293978030237223288190464214024706593109363
Info:Square Root: Total cpu/real time for sqrt: 46.67/34.3207
Info:Filtering - Singleton removal: Total cpu/real time for purge: 18.57/29.5651
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4613849
Info:Lattice Sieving: Average J: 1910.71 for 33138 special-q, max bucket fill -bkmult 1.0,1s:1.255590
Info:Lattice Sieving: Total time: 6788.96s
Info:Linear Algebra: Total cpu/real time for bwc: 581.4/494.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 246.03, WCT time 234.57, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Linear Algebra: Lingen CPU time 185.46, WCT time 154.39
Info:Linear Algebra: Mksol: CPU time 135.63,  WCT time 92.22, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2944 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.13059
Info:Generate Free Relations: Total cpu/real time for freerel: 62.56/40.7
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.94/22.5269
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.48
Info:Polynomial Selection (root optimized): Rootsieve time: 144.85
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 41.58/59.9936
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 49.8s
Info:Filtering - Merging: Merged matrix has 184033 rows and total weight 26707038 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 26.38/20.0158
Info:Filtering - Merging: Total cpu/real time for replay: 6.09/6.5658
Info:Quadratic Characters: Total cpu/real time for characters: 6.66/5.35868
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11159/30.390/36.600/42.610/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8926/29.530/32.535/37.150/0.811
Info:Polynomial Selection (size optimized): Total time: 530.51
Info:Square Root: Total cpu/real time for sqrt: 46.67/34.3207
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7783.67/4538.66
Info:root: Cleaning up computation data in /tmp/cado.07ty5sz3
4043412511102858979422101596988891569909152252583 20572148163005293978030237223288190464214024706593109363
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)

43×10186+29

c159

name 名前ebina
date 日付July 5, 2022 19:54:36 UTC 2022 年 7 月 6 日 (水) 4 時 54 分 36 秒 (日本時間)
composite number 合成数
167824699178920270031007445260326514660267237160708897955274497452282366243275201913249801297730078909791958699527396815758542182853018799820536692603921953613<159>
prime factors 素因数
9964772265142824539306094440305102074754845839921995741964869511<64>
16841799763550827896285375668905617979117869565168498818252518285442020911939935194850732262283<95>
factorization results 素因数分解の結果
Wed Jul  6 02:41:36 2022  Msieve v. 1.53 (SVN unknown)
Wed Jul  6 02:41:36 2022  random seeds: 1c5c1138 cad1134a
Wed Jul  6 02:41:36 2022  factoring 167824699178920270031007445260326514660267237160708897955274497452282366243275201913249801297730078909791958699527396815758542182853018799820536692603921953613 (159 digits)
Wed Jul  6 02:41:37 2022  searching for 15-digit factors
Wed Jul  6 02:41:37 2022  commencing number field sieve (159-digit input)
Wed Jul  6 02:41:37 2022  R0: -10000000000000000000000000000000000000
Wed Jul  6 02:41:37 2022  R1: 1
Wed Jul  6 02:41:37 2022  A0: 1
Wed Jul  6 02:41:37 2022  A1: 0
Wed Jul  6 02:41:37 2022  A2: 0
Wed Jul  6 02:41:37 2022  A3: 0
Wed Jul  6 02:41:37 2022  A4: 0
Wed Jul  6 02:41:37 2022  A5: 215
Wed Jul  6 02:41:37 2022  skew 0.34, size 5.176e-13, alpha 0.818, combined = 5.442e-11 rroots = 1
Wed Jul  6 02:41:37 2022  
Wed Jul  6 02:41:37 2022  commencing square root phase
Wed Jul  6 02:41:37 2022  reading relations for dependency 1
Wed Jul  6 02:41:37 2022  read 946669 cycles
Wed Jul  6 02:41:39 2022  cycles contain 3211250 unique relations
Wed Jul  6 02:42:03 2022  read 3211250 relations
Wed Jul  6 02:42:14 2022  multiplying 3211250 relations
Wed Jul  6 02:43:18 2022  multiply complete, coefficients have about 94.48 million bits
Wed Jul  6 02:43:18 2022  initial square root is modulo 6049651
Wed Jul  6 02:44:37 2022  sqrtTime: 180
Wed Jul  6 02:44:37 2022  p64 factor: 9964772265142824539306094440305102074754845839921995741964869511
Wed Jul  6 02:44:37 2022  p95 factor: 16841799763550827896285375668905617979117869565168498818252518285442020911939935194850732262283
Wed Jul  6 02:44:37 2022  elapsed time 00:03:01

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)

43×10188+29

c188

name 名前Bob Backstrom
date 日付July 10, 2022 17:20:09 UTC 2022 年 7 月 11 日 (月) 2 時 20 分 9 秒 (日本時間)
composite number 合成数
14052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875817<188>
prime factors 素因数
1722085998309485703359021951227325689965169674012589<52>
90789255259615266672502239131018968846757764992404616284129732729<65>
89878898188458303772649892068898442140371159083452873704130383297611157<71>
factorization results 素因数分解の結果
Number: n
N=14052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875817  ( 188 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Jul 11 03:11:27 2022  found factor: 90789255259615266672502239131018968846757764992404616284129732729
Mon Jul 11 03:15:10 2022  p52 factor: 1722085998309485703359021951227325689965169674012589
Mon Jul 11 03:15:10 2022  p65 factor: 90789255259615266672502239131018968846757764992404616284129732729
Mon Jul 11 03:15:10 2022  p71 factor: 89878898188458303772649892068898442140371159083452873704130383297611157
Mon Jul 11 03:15:10 2022  elapsed time 00:41:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 43x10^188+2 = 47(187)8
#
n: 14052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875817
m: 10000000000000000000000000000000000000
deg: 5
c5: 21500
c0: 1
skew: 0.14
# Murphy_E = 3.353e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3406667 hash collisions in 28293836 relations (26484330 unique)
Msieve: matrix is 1259739 x 1259964 (437.1 MB)

Sieving start time : 2022/07/10 21:52:54
Sieving end time  : 2022/07/11 02:33:03

Total sieving time: 4hrs 40min 9secs.

Total relation processing time: 0hrs 28min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 35sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

43×10189+29

c155

name 名前Ignacio Santos
date 日付July 9, 2022 22:13:21 UTC 2022 年 7 月 10 日 (日) 7 時 13 分 21 秒 (日本時間)
composite number 合成数
53517393162570129753242888041653998258623513819575107323723594482011655108493625172463157975329901092407271156663535175745523978738535668299768302369597311<155>
prime factors 素因数
526242357404680724500025828512512493<36>
composite cofactor 合成数の残り
101697235901927253356386379819225616783716220929056258548424950638354886154388831208923661008020423209756373006638320027<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2797713894
Step 1 took 5000ms
Step 2 took 2937ms
********** Factor found in step 2: 526242357404680724500025828512512493
Found prime factor of 36 digits: 526242357404680724500025828512512493
Composite cofactor 101697235901927253356386379819225616783716220929056258548424950638354886154388831208923661008020423209756373006638320027 has 120 digits
 
software ソフトウェア
GMP-ECM

c120

name 名前Eric Jeancolas
date 日付July 12, 2022 03:00:23 UTC 2022 年 7 月 12 日 (火) 12 時 0 分 23 秒 (日本時間)
composite number 合成数
101697235901927253356386379819225616783716220929056258548424950638354886154388831208923661008020423209756373006638320027<120>
prime factors 素因数
372417616503004720829153251211574379204356136509956957<54>
273073107703289178055809552955202714171123600917195432277564295511<66>
factorization results 素因数分解の結果
101697235901927253356386379819225616783716220929056258548424950638354886154388831208923661008020423209756373006638320027=372417616503004720829153251211574379204356136509956957*273073107703289178055809552955202714171123600917195432277564295511

cado polynomial
n: 101697235901927253356386379819225616783716220929056258548424950638354886154388831208923661008020423209756373006638320027
skew: 16979.361
c0: 53612897423588007781949070
c1: 97519477496109030195467
c2: -1865550645806184066
c3: -422907606528221
c4: 7713286242
c5: 245520
Y0: -39312128770935435183536
Y1: 4095954307257604591
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.644e-06
# f(x) = 245520*x^5+7713286242*x^4-422907606528221*x^3-1865550645806184066*x^2+97519477496109030195467*x+53612897423588007781949070
# g(x) = 4095954307257604591*x-39312128770935435183536

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 372417616503004720829153251211574379204356136509956957 273073107703289178055809552955202714171123600917195432277564295511
Info:Square Root: Total cpu/real time for sqrt: 164.07/119.537
Info:Square Root: Total cpu/real time for sqrt: 164.07/119.537
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 139.71/181.301
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.71/69.4285
Info:Linear Algebra: Total cpu/real time for bwc: 3843.19/3210.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2118.24, WCT time 1848.53, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (19456 iterations)
Info:Linear Algebra: Lingen CPU time 436.04, WCT time 259.51
Info:Linear Algebra: Mksol: CPU time 1231.84,  WCT time 1062.77, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9728 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13447699
Info:Lattice Sieving: Average J: 1891.54 for 224554 special-q, max bucket fill -bkmult 1.0,1s:1.292400
Info:Lattice Sieving: Total time: 54852.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/4.02892
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2037.33
Info:Polynomial Selection (root optimized): Rootsieve time: 2034.77
Info:Generate Free Relations: Total cpu/real time for freerel: 126.66/80.4806
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.52/105.685
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.5s
Info:Filtering - Merging: Merged matrix has 618273 rows and total weight 61902692 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.33/22.5376
Info:Filtering - Merging: Total cpu/real time for replay: 15.12/13.554
Info:Quadratic Characters: Total cpu/real time for characters: 19.07/15.0556
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20241/34.510/42.513/48.060/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16133/32.450/37.616/42.990/0.818
Info:Polynomial Selection (size optimized): Total time: 2301.79
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 60690/33660.3
Info:root: Cleaning up computation data in /tmp/cado.r15o5jhf
372417616503004720829153251211574379204356136509956957 273073107703289178055809552955202714171123600917195432277564295511
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)

43×10190+29

c174

name 名前Bob Backstrom
date 日付July 12, 2022 18:45:29 UTC 2022 年 7 月 13 日 (水) 3 時 45 分 29 秒 (日本時間)
composite number 合成数
170806066328554928695242231933579441792364625961624843428532105473131849102415034305273295033310424528733401107401818985081346217953552084368689831187403883509643593369515841<174>
prime factors 素因数
111127560305033887482886186329035150521768393956764766611297818952941867<72>
1537027051252718876264970118341621981090956680547529051830835957698945617432913361206856406920924838723<103>
factorization results 素因数分解の結果
Number: n
N=170806066328554928695242231933579441792364625961624843428532105473131849102415034305273295033310424528733401107401818985081346217953552084368689831187403883509643593369515841  ( 174 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Jul 13 04:41:09 2022  p72 factor: 111127560305033887482886186329035150521768393956764766611297818952941867
Wed Jul 13 04:41:09 2022  p103 factor: 1537027051252718876264970118341621981090956680547529051830835957698945617432913361206856406920924838723
Wed Jul 13 04:41:09 2022  elapsed time 00:32:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 43x10^190+2 = 47(189)8
#
n: 170806066328554928695242231933579441792364625961624843428532105473131849102415034305273295033310424528733401107401818985081346217953552084368689831187403883509643593369515841
m: 100000000000000000000000000000000000000
deg: 5
c5: 43
c0: 2
skew: 0.54
# Murphy_E = 4.02e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 11050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3082219 hash collisions in 28399957 relations (27017958 unique)
Msieve: matrix is 1168952 x 1169177 (407.9 MB)

Sieving start time : 2022/07/13 01:21:49
Sieving end time  : 2022/07/13 04:08:28

Total sieving time: 2hrs 46min 39secs.

Total relation processing time: 0hrs 23min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
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)

43×10191+29

c151

name 名前Bob Backstrom
date 日付April 10, 2023 01:02:12 UTC 2023 年 4 月 10 日 (月) 10 時 2 分 12 秒 (日本時間)
composite number 合成数
5606531151824878508977940465485152518021978621098666229503140669573706286056156156839348148533378929639429220923364634636602420866521532188358794103447<151>
prime factors 素因数
35502917258963026708417543970396670173145100045464497254024967889863<68>
157917477905550421684982933163394514126732518102890593602818201124972269308559688369<84>
factorization results 素因数分解の結果
Number: n
N=5606531151824878508977940465485152518021978621098666229503140669573706286056156156839348148533378929639429220923364634636602420866521532188358794103447  ( 151 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Apr 10 10:45:37 2023  prp68 factor: 35502917258963026708417543970396670173145100045464497254024967889863
Mon Apr 10 10:45:37 2023  prp84 factor: 157917477905550421684982933163394514126732518102890593602818201124972269308559688369
Mon Apr 10 10:45:37 2023  elapsed time 01:08:38 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 43x10^191+2 = 47(190)8
#
n: 5606531151824878508977940465485152518021978621098666229503140669573706286056156156839348148533378929639429220923364634636602420866521532188358794103447
m: 100000000000000000000000000000000000000
deg: 5
c5: 215
c0: 1
skew: 0.34
# Murphy_E = 3.389e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2080151 hash collisions in 16383682 relations (15257990 unique)
Msieve: matrix is 1432314 x 1432539 (403.4 MB)

Sieving start time: 2023/04/10 01:18:33
Sieving end time  : 2023/04/10 09:36:42

Total sieving time: 8hrs 18min 9secs.

Total relation processing time: 0hrs 56min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 56sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,27,27,55,55,2.5,2.5,100000
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 12, 2022 11:24:17 UTC 2022 年 7 月 12 日 (火) 20 時 24 分 17 秒 (日本時間)

43×10192+29

c98

name 名前Eric Jeancolas
date 日付June 29, 2022 16:48:36 UTC 2022 年 6 月 30 日 (木) 1 時 48 分 36 秒 (日本時間)
composite number 合成数
89141093203403352399960676686323993894794669428972608665269225111782098067816781457217999544223987<98>
prime factors 素因数
9773761869001097004983720012300673458161<40>
9120448645892146732671983678720112536138681801661269695267<58>
factorization results 素因数分解の結果
89141093203403352399960676686323993894794669428972608665269225111782098067816781457217999544223987=9773761869001097004983720012300673458161*9120448645892146732671983678720112536138681801661269695267

cado polynomial
n: 89141093203403352399960676686323993894794669428972608665269225111782098067816781457217999544223987
skew: 215294.692
c0: 123698536019989142741966905
c1: 2000375914941778286070
c2: 9378909614592707
c3: -54446399064
c4: 91620
Y0: -232442095006503739677598
Y1: 45212173947029
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 3.182e-06
# f(x) = 91620*x^4-54446399064*x^3+9378909614592707*x^2+2000375914941778286070*x+123698536019989142741966905
# g(x) = 45212173947029*x-232442095006503739677598

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.sieve.ncurves0 = 11
tasks.sieve.ncurves1 = 16
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: finished
Info:Square Root: Factors: 9773761869001097004983720012300673458161 9120448645892146732671983678720112536138681801661269695267
Info:Square Root: Total cpu/real time for sqrt: 29.96/9.34679
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.51/19.0461
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 13.8s
Info:Square Root: Total cpu/real time for sqrt: 29.96/9.34679
Info:Filtering - Singleton removal: Total cpu/real time for purge: 11.4/11.5605
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2388699
Info:Lattice Sieving: Average J: 994.325 for 67036 special-q, max bucket fill -bkmult 1.0,1s:1.317520
Info:Lattice Sieving: Total time: 2662.69s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.77/0.222026
Info:Linear Algebra: Total cpu/real time for bwc: 306.5/80.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 175.61, WCT time 45.44, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Linear Algebra: Lingen CPU time 20.04, WCT time 5.11
Info:Linear Algebra: Mksol: CPU time 98.03,  WCT time 25.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2432 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 23.82/6.65154
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.99/9.01074
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 44.11
Info:Polynomial Selection (root optimized): Rootsieve time: 43.72
Info:Filtering - Merging: Merged matrix has 154171 rows and total weight 26224414 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.81/8.72326
Info:Filtering - Merging: Total cpu/real time for replay: 5.13/4.17627
Info:Quadratic Characters: Total cpu/real time for characters: 4.91/1.92807
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5974/32.020/37.393/38.210/0.679
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3441/31.660/35.949/38.200/1.025
Info:Polynomial Selection (size optimized): Total time: 104.11
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5240.59/1579.78
Info:root: Cleaning up computation data in /tmp/cado.ah7uufta
9773761869001097004983720012300673458161 9120448645892146732671983678720112536138681801661269695267
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)

43×10196+29

c144

name 名前Bob Backstrom
date 日付October 29, 2022 03:35:41 UTC 2022 年 10 月 29 日 (土) 12 時 35 分 41 秒 (日本時間)
composite number 合成数
830970750306437958022462888719089913116982668019890176844976027628540485432702678100553036046071240732132552296968033771884229888586306146550079<144>
prime factors 素因数
2402737491379419515547026436338574689457386009421329<52>
345843336314436459968182213619987981431652122981887623703956975181830866661660180822684508751<93>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 830970750306437958022462888719089913116982668019890176844976027628540485432702678100553036046071240732132552296968033771884229888586306146550079 (144 digits)
Using B1=29490000, B2=144288594466, polynomial Dickson(12), sigma=1:139517972
Step 1 took 52093ms
Step 2 took 17371ms
********** Factor found in step 2: 2402737491379419515547026436338574689457386009421329
Found prime factor of 52 digits: 2402737491379419515547026436338574689457386009421329
Prime cofactor 345843336314436459968182213619987981431652122981887623703956975181830866661660180822684508751 has 93 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 26, 2022 12:31:18 UTC 2022 年 7 月 26 日 (火) 21 時 31 分 18 秒 (日本時間)

43×10197+29

c188

name 名前Bob Backstrom
date 日付August 21, 2022 05:22:31 UTC 2022 年 8 月 21 日 (日) 14 時 22 分 31 秒 (日本時間)
composite number 合成数
84329800446678377257372217224287162311933292368732499440266734951714543075422355802650044971492078953991238706470216220043733311350915591296787376899602725043950159157058144991095239240123<188>
prime factors 素因数
3097024780476966686523656964682908251767679595486300798737<58>
146434760850322110012373443033745594464851218158843252761640669697<66>
185948299049889867132554781440540810966875290024799471264821341707<66>
factorization results 素因数分解の結果
Number: n
N=84329800446678377257372217224287162311933292368732499440266734951714543075422355802650044971492078953991238706470216220043733311350915591296787376899602725043950159157058144991095239240123  ( 188 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Aug 21 15:06:33 2022  found factor: 146434760850322110012373443033745594464851218158843252761640669697
Sun Aug 21 15:11:37 2022  p58 factor: 3097024780476966686523656964682908251767679595486300798737
Sun Aug 21 15:11:37 2022  p66 factor: 146434760850322110012373443033745594464851218158843252761640669697
Sun Aug 21 15:11:37 2022  p66 factor: 185948299049889867132554781440540810966875290024799471264821341707
Sun Aug 21 15:11:37 2022  elapsed time 01:20:12 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 43x10^197+2 = 47(196)8
#
n: 84329800446678377257372217224287162311933292368732499440266734951714543075422355802650044971492078953991238706470216220043733311350915591296787376899602725043950159157058144991095239240123
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2150
c0: 1
skew: 0.22
# Murphy_E = 1.622e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3573154 hash collisions in 28568363 relations (26571814 unique)
Msieve: matrix is 1790918 x 1791144 (625.1 MB)

Sieving start time : 2022/08/21 05:10:53
Sieving end time  : 2022/08/21 13:50:25

Total sieving time: 8hrs 39min 32secs.

Total relation processing time: 1hrs 4min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 35sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
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 SantosAugust 19, 2022 15:07:01 UTC 2022 年 8 月 20 日 (土) 0 時 7 分 1 秒 (日本時間)

43×10201+29

c118

name 名前Eric Jeancolas
date 日付July 4, 2022 07:49:23 UTC 2022 年 7 月 4 日 (月) 16 時 49 分 23 秒 (日本時間)
composite number 合成数
1619651302277806679646462634695188418398375036948232530959025282425060860324295972318464319531146053904789137744985083<118>
prime factors 素因数
156730434657521535828916197836304536090216431809201191<54>
10333993559176792449706418073532082287236106338006632874015705613<65>
factorization results 素因数分解の結果
1619651302277806679646462634695188418398375036948232530959025282425060860324295972318464319531146053904789137744985083=156730434657521535828916197836304536090216431809201191*10333993559176792449706418073532082287236106338006632874015705613

cado polynomial
n: 1619651302277806679646462634695188418398375036948232530959025282425060860324295972318464319531146053904789137744985083
skew: 8870.679
c0: -6001557341161171486576880
c1: 992385006557346278267
c2: -683253810282171061
c3: -61690386417168
c4: 5271865124
c5: -158160
Y0: -29588646373470742963994
Y1: 89286038420010341
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.875e-06
# f(x) = -158160*x^5+5271865124*x^4-61690386417168*x^3-683253810282171061*x^2+992385006557346278267*x-6001557341161171486576880
# g(x) = 89286038420010341*x-29588646373470742963994

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10333993559176792449706418073532082287236106338006632874015705613 156730434657521535828916197836304536090216431809201191
Info:Square Root: Total cpu/real time for sqrt: 142/42.3565
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13427440
Info:Lattice Sieving: Average J: 1894.61 for 185493 special-q, max bucket fill -bkmult 1.0,1s:1.252620
Info:Lattice Sieving: Total time: 23557.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 126.42/33.2595
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/1.38064
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 954.69
Info:Polynomial Selection (root optimized): Rootsieve time: 952.27
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.14/58.8406
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.7s
Info:Filtering - Merging: Merged matrix has 526985 rows and total weight 52758113 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.79/12.5057
Info:Filtering - Merging: Total cpu/real time for replay: 12.18/9.75075
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.76/109.477
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.1s
Info:Linear Algebra: Total cpu/real time for bwc: 2484.66/646.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1490.81, WCT time 385.89, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16512 iterations)
Info:Linear Algebra: Lingen CPU time 94.18, WCT time 23.87
Info:Linear Algebra: Mksol: CPU time 868.88,  WCT time 224.38, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 15.7/6.06184
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20124/34.440/41.800/46.600/1.041
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15856/33.480/36.984/42.320/0.800
Info:Polynomial Selection (size optimized): Total time: 2320
Info:Square Root: Total cpu/real time for sqrt: 142/42.3565
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.01/63.0013
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49856.2/13820.5
Info:root: Cleaning up computation data in /tmp/cado.n7oov2z2
10333993559176792449706418073532082287236106338006632874015705613 156730434657521535828916197836304536090216431809201191
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 2, 2022 10:41:17 UTC 2022 年 7 月 2 日 (土) 19 時 41 分 17 秒 (日本時間)

43×10202+29

c171

name 名前Bob Backstrom
date 日付August 17, 2023 01:56:18 UTC 2023 年 8 月 17 日 (木) 10 時 56 分 18 秒 (日本時間)
composite number 合成数
109692871189860942936562506772922138397395020614399887207290279330282715668466023942334654718955068556480002736467531155323771388698548748684406912091211026503355494457007<171>
prime factors 素因数
328037088025225120519430216212624262865592458588007343375449<60>
334391674582313913981974954573015636864139934403877354470355721204713589164902207853449985997745705509983222343<111>
factorization results 素因数分解の結果
Number: n
N=109692871189860942936562506772922138397395020614399887207290279330282715668466023942334654718955068556480002736467531155323771388698548748684406912091211026503355494457007  ( 171 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Aug 17 11:43:53 2023  prp60 factor: 328037088025225120519430216212624262865592458588007343375449
Thu Aug 17 11:43:53 2023  prp111 factor: 334391674582313913981974954573015636864139934403877354470355721204713589164902207853449985997745705509983222343
Thu Aug 17 11:43:53 2023  elapsed time 03:08:46 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.107).
Factorization parameters were as follows:
#
# N = 43x10^202+2 = 47(201)8
#
n: 109692871189860942936562506772922138397395020614399887207290279330282715668466023942334654718955068556480002736467531155323771388698548748684406912091211026503355494457007
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2150
c0: 1
skew: 0.22
# Murphy_E = 1.001e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2785718 hash collisions in 17294396 relations (14953661 unique)
Msieve: matrix is 2300240 x 2300465 (650.2 MB)

Sieving start time: 2023/08/16 19:40:28
Sieving end time  : 2023/08/17 08:34:37

Total sieving time: 12hrs 54min 9secs.

Total relation processing time: 2hrs 43min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 20sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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, 2023 06:50:01 UTC 2023 年 7 月 12 日 (水) 15 時 50 分 1 秒 (日本時間)

43×10203+29

c103

name 名前Dmitry Domanov
date 日付June 30, 2022 11:58:23 UTC 2022 年 6 月 30 日 (木) 20 時 58 分 23 秒 (日本時間)
composite number 合成数
4004717377864989421166729243005063342427247667014935640892599492727657489320644494052768530063173204197<103>
prime factors 素因数
145605000965268946281304137846539730354241<42>
27503982358547092142387963838053799161682347330757130476638117<62>
factorization results 素因数分解の結果
N=4004717377864989421166729243005063342427247667014935640892599492727657489320644494052768530063173204197
  ( 103 digits)
Divisors found:
p42 factor: 145605000965268946281304137846539730354241
p62 factor: 27503982358547092142387963838053799161682347330757130476638117
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4004717377864989421166729243005063342427247667014935640892599492727657489320644494052768530063173204197
skew: 829556.70
c0: 2599676845414598810418611508
c1: 10401854414380431920276
c2: -30551037253191479
c3: 3519263256
c4: 28140
Y0: -3453915288051072179548513
Y1: 66937232762681
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 256624 x 256850
Total sieving time: 1.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 1.88 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)

43×10205+29

c150

name 名前Ignacio Santos
date 日付March 11, 2024 14:14:12 UTC 2024 年 3 月 11 日 (月) 23 時 14 分 12 秒 (日本時間)
composite number 合成数
572972286234075654088950314951927832237944144645222847646447301074843950006546592941570653703462529523531320521224982820861183366721013865227851582791<150>
prime factors 素因数
638762783223845838990959811233004956199583<42>
897003240142256708812819893468708329681295489543876122851987980490887221135840952207123585515589584931980377<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:484585606
Step 1 took 20922ms
Step 2 took 9281ms
********** Factor found in step 2: 638762783223845838990959811233004956199583
Found prime factor of 42 digits: 638762783223845838990959811233004956199583
Prime cofactor 897003240142256708812819893468708329681295489543876122851987980490887221135840952207123585515589584931980377 has 108 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)
403e62078ebinaAugust 13, 2022 14:30:22 UTC 2022 年 8 月 13 日 (土) 23 時 30 分 22 秒 (日本時間)

43×10206+29

c181

name 名前Bob Backstrom
date 日付June 22, 2024 20:44:18 UTC 2024 年 6 月 23 日 (日) 5 時 44 分 18 秒 (日本時間)
composite number 合成数
7433198008515790683642448707072754787339739533059209132679644440746239132696440169439515511616948091657651683021131872417014216528888081747821230434299767033634334716952456723323633<181>
prime factors 素因数
9406731839253950251628919389650904681181100189490670769<55>
790199841511089474892978855077876596389798015935837108758193135182726487415791751394169637907467613209758267420345287535944257<126>
factorization results 素因数分解の結果
Number: n
N=7433198008515790683642448707072754787339739533059209132679644440746239132696440169439515511616948091657651683021131872417014216528888081747821230434299767033634334716952456723323633  ( 181 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Jun 23 06:41:04 2024  prp55 factor: 9406731839253950251628919389650904681181100189490670769
Sun Jun 23 06:41:04 2024  prp126 factor: 790199841511089474892978855077876596389798015935837108758193135182726487415791751394169637907467613209758267420345287535944257
Sun Jun 23 06:41:04 2024  elapsed time 03:26:47 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.010).
Factorization parameters were as follows:
#
# N = 43x10^206+2 = 47(205)8
#
n: 7433198008515790683642448707072754787339739533059209132679644440746239132696440169439515511616948091657651683021131872417014216528888081747821230434299767033634334716952456723323633
m: 100000000000000000000000000000000000000000
deg: 5
c5: 215
c0: 1
skew: 0.34
# Murphy_E = 7.98e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5214768 hash collisions in 21131851 relations (15442387 unique)
Msieve: matrix is 2525900 x 2526125 (711.3 MB)

Sieving start time: 2024/06/22 08:25:04
Sieving end time  : 2024/06/23 03:09:11

Total sieving time: 18hrs 44min 7secs.

Total relation processing time: 3hrs 15min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 0sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62400cccAugust 28, 2023 01:27:56 UTC 2023 年 8 月 28 日 (月) 10 時 27 分 56 秒 (日本時間)

43×10208+29

c184

composite cofactor 合成数の残り
2624683772417785488287153184655344754931790090667572046720290294810699665009286212426481391800589246776207057521128235085940026625452870773597572221888269408001716172197735240207495747<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)
403e62400dddAugust 28, 2023 12:55:08 UTC 2023 年 8 月 28 日 (月) 21 時 55 分 8 秒 (日本時間)

43×10210+29

c197

name 名前Seth Troisi
date 日付January 2, 2024 18:56:08 UTC 2024 年 1 月 3 日 (水) 3 時 56 分 8 秒 (日本時間)
composite number 合成数
73343006875127043266744192362402014948886978238844719830968878115985504614780451910917575866080983587988489625322720777373134997544697019325407750067159501115905069002448340288698842469182949299277<197>
prime factors 素因数
862874679297670150033859474455515735879735661<45>
composite cofactor 合成数の残り
84998446048763406903453565129118036954393307741060510570991801671932612859039298100173565278673942314229700090116277196041318258631617606803159264770657<152>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Nov 20 06:36:51 2023
Input number is 73343006875127043266744192362402014948886978238844719830968878115985504614780451910917575866080983587988489625322720777373134997544697019325407750067159501115905069002448340288698842469182949299277 (197 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4800MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20       25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 83350ms
Computing h took 9628ms
Computing DCT-I of h took 26601ms
Multi-point evaluation 1 of 5:
Computing g_i took 35347ms
Computing g*h took 54551ms
Computing gcd of coefficients and N took 13776ms
Multi-point evaluation 2 of 5:
Computing g_i took 35489ms
Computing g*h took 54610ms
Computing gcd of coefficients and N took 13613ms
Multi-point evaluation 3 of 5:
Computing g_i took 34488ms
Computing g*h took 53368ms
Computing gcd of coefficients and N took 13474ms
Multi-point evaluation 4 of 5:
Computing g_i took 34811ms
Computing g*h took 54546ms
Computing gcd of coefficients and N took 13766ms
Multi-point evaluation 5 of 5:
Computing g_i took 35144ms
Computing g*h took 55264ms
Computing gcd of coefficients and N took 13723ms
Step 2 took 636267ms
********** Factor found in step 2: 862874679297670150033859474455515735879735661
Found prime factor of 45 digits: 862874679297670150033859474455515735879735661
Composite cofactor 84998446048763406903453565129118036954393307741060510570991801671932612859039298100173565278673942314229700090116277196041318258631617606803159264770657 has 152 digits
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

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)
403e681921792Dmitry DomanovMarch 2, 2024 16:16:56 UTC 2024 年 3 月 3 日 (日) 1 時 16 分 56 秒 (日本時間)
6400dddJune 29, 2024 08:19:15 UTC 2024 年 6 月 29 日 (土) 17 時 19 分 15 秒 (日本時間)
4511e65000dddJune 29, 2024 08:19:26 UTC 2024 年 6 月 29 日 (土) 17 時 19 分 26 秒 (日本時間)
5043e67553dddJuly 7, 2024 16:50:38 UTC 2024 年 7 月 8 日 (月) 1 時 50 分 38 秒 (日本時間)

43×10212+29

c199

composite cofactor 合成数の残り
4616400590323017516748941172059989689788668363744965898348974101867547993575254900254560039287059749494456588472817376072445584092013273011068645712192581199141951624783632563223999063210421876996439<199>

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 DomanovMarch 2, 2024 16:17:28 UTC 2024 年 3 月 3 日 (日) 1 時 17 分 28 秒 (日本時間)

43×10213+29

c207

composite cofactor 合成数の残り
235466315355304925209491368993162572942399233312915665811617288120865670114079706136286129116344092599724118903392409203394784675199462146747273248046557757910334799478035795194991134255150006992254373888113<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)

43×10214+29

c213

composite cofactor 合成数の残り
294924554183813443072702331961591220850480109739368998628257887517146776406035665294924554183813443072702331961591220850480109739368998628257887517146776406035665294924554183813443072702331961591220850480109739369<213>

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)

43×10215+29

c167

composite cofactor 合成数の残り
72771504398760059355008585218971786128829785808021550327059751891143770580672389095345346429309475775054484325459745669863407825985268600175558830355522419846301230601<167>

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 DomanovMarch 2, 2024 16:17:38 UTC 2024 年 3 月 3 日 (日) 1 時 17 分 38 秒 (日本時間)

43×10217+29

c214

composite cofactor 合成数の残り
2169153626522190946053653762724860518377271305628701433659210831643411321973021782338044936791872231806854525459810123389529545890210559238072177325786696530363106227993179777434748832188222000262316252509660300453<214>

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)

43×10219+29

c207

composite cofactor 合成数の残り
439505456245482377177885385087645153939763211595209317174297632978906516033885883843456012739259753855066725928427595420176810175863131991162054375864612321268545588744157415673157875096591063065010245919273<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)

43×10221+29

c204

composite cofactor 合成数の残り
314976520996301488426298934809719792228358861750906409323825145765336122722501601181876859432657149866502914948258895055772681071085431831460344411774737457776011611038267045431030826690846600723905276203<204>

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)

43×10224+29

c194

composite cofactor 合成数の残り
18144963765270786956908684536379124851530325709025404140805444989943268806402265164473562967465131036048628694542776412822297387648961855581524325104044721580339858369321197742454931134007478677<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)
403e61792 / 2078Dmitry DomanovMarch 2, 2024 16:17:52 UTC 2024 年 3 月 3 日 (日) 1 時 17 分 52 秒 (日本時間)

43×10225+29

c199

composite cofactor 合成数の残り
3704620103109707775669087852875176468977993619125259587742519881381097810545556952963113510990452984128237737420193564916669021684741367276710002569828849912364023209482809918080144218865175907195599<199>

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 DomanovMarch 2, 2024 16:18:03 UTC 2024 年 3 月 3 日 (日) 1 時 18 分 3 秒 (日本時間)

43×10227+29

c168

composite cofactor 合成数の残り
277460318968511076330732579496574256402731369948184561773751478972794998197588799089237902794795214197533090398616973466350480038366347310448661051911522881393962104639<168>

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 DomanovMarch 2, 2024 16:18:12 UTC 2024 年 3 月 3 日 (日) 1 時 18 分 12 秒 (日本時間)

43×10229+29

c229

composite cofactor 合成数の残り
7962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<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)

43×10231+29

c199

composite cofactor 合成数の残り
8677732372893235030704676694829302125141771677857367607769777780267790626628353376621470494140894645409091841290385719772155730693038899519503078069460535905698732379136665850074451484000692211548683<199>

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 DomanovMarch 2, 2024 16:20:32 UTC 2024 年 3 月 3 日 (日) 1 時 20 分 32 秒 (日本時間)

43×10233+29

c188

name 名前Dmitry Domanov
date 日付March 3, 2024 00:17:03 UTC 2024 年 3 月 3 日 (日) 9 時 17 分 3 秒 (日本時間)
composite number 合成数
47978279169591314242303012827679063942195133348477989160413572242453662745006846061490316642985325132690937040801203613436364542584290977974756260261013352030758241044650901152214106135853<188>
prime factors 素因数
510127883326398792516045505664550393060815333<45>
composite cofactor 合成数の残り
94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441<143>
factorization results 素因数分解の結果
Resuming ECM residue saved by @916b17e3774f with GMP-ECM 7.0.5-dev on Sat Mar  2 22:03:05 2024 
Input number is 47978279169591314242303012827679063942195133348477989160413572242453662745006846061490316642985325132690937040801203613436364542584290977974756260261013352030758241044650901152214106135853 (188 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3692098476
Step 1 took 0ms
Step 2 took 2410ms
********** Factor found in step 2: 510127883326398792516045505664550393060815333
Found prime factor of 45 digits: 510127883326398792516045505664550393060815333
Composite cofactor 94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441 has 143 digits

c143

name 名前Bob Backstrom
date 日付March 12, 2024 16:36:08 UTC 2024 年 3 月 13 日 (水) 1 時 36 分 8 秒 (日本時間)
composite number 合成数
94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441<143>
prime factors 素因数
12734995292079857234069871635416594241221199669<47>
7385277456235519648524762855502245798410530926435286678767706519875606392065861993439957379089189<97>
factorization results 素因数分解の結果
CADO:

STA:Sun 10 Mar 2024 18:00:37 AEDT (94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441 - C143)

/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441 2>&1 | tee -a log-47

Debug:root: Looking for parameter file for c143 in directory /home/vboxuser/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c143
Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c143
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.0f2luluf
Info:Database: Opened connection to database /tmp/cado.0f2luluf/c143.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu
Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441
Debug:root: Root parameter dictionary:
N = 94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441
name = c143
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441
skew: 135039.871
c0: 15206060662818078585697519820220
c1: -429110496034453474555333875
c2: -2431848477765484206179
c3: -9582232762145422
c4: 13021188432
c5: -554400
Y0: -5273904081782449734205442879
Y1: 505221657871427701583
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=1.476e+14) = 8.082e-07
# f(x) = -554400*x^5+13021188432*x^4-9582232762145422*x^3-2431848477765484206179*x^2-429110496034453474555333875*x+15206060662818078585697519820220
# g(x) = 505221657871427701583*x-5273904081782449734205442879
===
Debug:Command: Process with PID 568910 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 7385277456235519648524762855502245798410530926435286678767706519875606392065861993439957379089189 12734995292079857234069871635416594241221199669
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3903.49/504.965
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6245.14
Info:Polynomial Selection (root optimized): Rootsieve time: 6244.08
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 78001376
Info:Lattice Sieving: Average J: 7519.14 for 644825 special-q, max bucket fill -bkmult 1.0,1s:1.232940
Info:Lattice Sieving: Total time: 1.82964e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 103388
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 71790/43.700/53.484/64.730/2.442
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 60973/40.840/46.449/57.460/1.409
Info:Polynomial Selection (size optimized): Total time: 55323.2
Info:Square Root: Total cpu/real time for sqrt: 3903.49/504.965
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1133.43/499.587
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 402.6s
Info:Quadratic Characters: Total cpu/real time for characters: 89.73/23.1644
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.45/131.492
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 598.51/2905.82
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 2905.4s
Info:Filtering - Merging: Total cpu/real time for merge: 300.35/85.0942
Info:Filtering - Merging: Total cpu/real time for replay: 44.94/41.1176
Info:Generate Factor Base: Total cpu/real time for makefb: 8.07/2.09637
Info:Generate Free Relations: Total cpu/real time for freerel: 823.34/88.9535
Info:Linear Algebra: Total cpu/real time for bwc: 59560.8/11888.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34233.13, WCT time 7143.4, iteration CPU time 0.04, COMM 0.04, cpu-wait 0.02, comm-wait 0.01 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 375.36, WCT time 60.21
Info:Linear Algebra: Mksol: CPU time 21296.19,  WCT time 4058.83, iteration CPU time 0.06, COMM 0.04, cpu-wait 0.02, comm-wait 0.0 (32000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.38934e+06/206518 [2d 09:21:58]
Info:root: Cleaning up computation data in /tmp/cado.0f2luluf
7385277456235519648524762855502245798410530926435286678767706519875606392065861993439957379089189 12734995292079857234069871635416594241221199669

END:Wed 13 Mar 2024 03:22:38 AEDT (94051473635862846597629895775793897041336761934334390736930087207589951338814495287266952283455270779039201423517621368816623706389185128278441 - C143)

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 DomanovMarch 2, 2024 16:20:45 UTC 2024 年 3 月 3 日 (日) 1 時 20 分 45 秒 (日本時間)

43×10236+29

c206

composite cofactor 合成数の残り
37520692062882711102433281077922465377058270129565218925104529803320747507548549734933318404347189454533871240256435385264646820457927766093826024233186478927840926858640444849306684923839615010299931308441<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)

43×10238+29

c183

composite cofactor 合成数の残り
673002775334920336683728257830901339845255753659725133571283182385274555206486842487875662557023345943752927395509257810811308166378838245340934563498155590840911760924759481820752273<183>

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)

43×10240+29

c177

name 名前Dmitry Domanov
date 日付March 3, 2024 00:17:44 UTC 2024 年 3 月 3 日 (日) 9 時 17 分 44 秒 (日本時間)
composite number 合成数
252475846566309300493476428732311854646407968539012883517990686265920808556287750451027608480458342731754179174041842494479072236984798884590841469712580782574978384505121328603<177>
prime factors 素因数
477846848754696627042347499356970263<36>
528361434682010726331519781159358944171278965812405075327036921489203784423608813514954023735370774205850305643906498567232895887455503497181<141>
factorization results 素因数分解の結果
Resuming ECM residue saved by @916b17e3774f with GMP-ECM 7.0.5-dev on Sat Mar  2 22:06:04 2024 
Input number is 252475846566309300493476428732311854646407968539012883517990686265920808556287750451027608480458342731754179174041842494479072236984798884590841469712580782574978384505121328603 (177 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1110457254
Step 1 took 0ms
Step 2 took 2360ms
********** Factor found in step 2: 477846848754696627042347499356970263
Found prime factor of 36 digits: 477846848754696627042347499356970263
Prime cofactor 528361434682010726331519781159358944171278965812405075327036921489203784423608813514954023735370774205850305643906498567232895887455503497181 has 141 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)
403e61792 / 2078Dmitry DomanovMarch 2, 2024 16:20:56 UTC 2024 年 3 月 3 日 (日) 1 時 20 分 56 秒 (日本時間)

43×10242+29

c214

composite cofactor 合成数の残り
2577955214190075668977223263606728507962383237451271953357616360100459572625686085069047715182755180309130217453839980689457965346530990806091982469223701713878399009115498790083275193996436269892436198730483071373<214>

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)

43×10244+29

c244

composite cofactor 合成数の残り
7962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<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)

43×10245+29

c209

composite cofactor 合成数の残り
11903409786413055026392497036831991040026936649577786200422594506620018073883429389644573838958246036105483305442271952383111053112951710287927992533204785211174474034484126199669090889243216656056006659365297<209>

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)

43×10246+29

c227

composite cofactor 合成数の残り
38608223989433501571190156259159798323364261318406103228561433425549314136980966551315649130445765377676434107964948730587634220543243891174707533968866833765731217702455377213661713006340423833153566161029332116986563132118977<227>

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)

43×10247+29

c238

composite cofactor 合成数の残り
3742884509475268997415120801427546722516072960187779308368422723718187956129579149233093363134385917554923635798708386998478487556048522831449039153464278763819436992394027513859527006614060669653229915430239486391432581534293580169301011<238>

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)

43×10248+29

c192

composite cofactor 合成数の残り
302961802850809620768096710983880143252250180189246572584240984235211342803097650346813030592298949735301362937179703339619566794171847802791286816693694891507566371902036210014396366081412311<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)
403e61792 / 2078Dmitry DomanovMarch 2, 2024 16:21:08 UTC 2024 年 3 月 3 日 (日) 1 時 21 分 8 秒 (日本時間)

43×10249+29

c227

composite cofactor 合成数の残り
11918606054547345907644990994823916127971385411664222252868303154241106204072017092765811777688376231523799935051217405311793873193103239803095002810246885180825615584291371640015374012339131798860981521136235283508820610661637<227>

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)

43×10250+29

c196

name 名前Dmitry Domanov
date 日付March 3, 2024 00:18:40 UTC 2024 年 3 月 3 日 (日) 9 時 18 分 40 秒 (日本時間)
composite number 合成数
1369913024033909007173803216110584653271141493735290813557152099171607786182254160588037399919427699707125517116531051698990809693021230447550181619069051522843752142056977033146884815836777714253<196>
prime factors 素因数
119908745671214949612810466253424545941163<42>
composite cofactor 合成数の残り
11424629757950737620061688004540094448503748617818762416993572584616086128397223007971799242807890547612364291197152746971440288544611251142722667571571431<155>
factorization results 素因数分解の結果
Resuming ECM residue saved by @916b17e3774f with GMP-ECM 7.0.5-dev on Sat Mar  2 22:11:55 2024 
Input number is 1369913024033909007173803216110584653271141493735290813557152099171607786182254160588037399919427699707125517116531051698990809693021230447550181619069051522843752142056977033146884815836777714253 (196 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3447482520
Step 1 took 0ms
Step 2 took 2610ms
********** Factor found in step 2: 119908745671214949612810466253424545941163
Found prime factor of 42 digits: 119908745671214949612810466253424545941163
Composite cofactor 11424629757950737620061688004540094448503748617818762416993572584616086128397223007971799242807890547612364291197152746971440288544611251142722667571571431 has 155 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)
403e641421792Dmitry DomanovMarch 2, 2024 16:21:19 UTC 2024 年 3 月 3 日 (日) 1 時 21 分 19 秒 (日本時間)
2350Ignacio SantosMarch 10, 2024 09:03:09 UTC 2024 年 3 月 10 日 (日) 18 時 3 分 9 秒 (日本時間)
4511e64480Ignacio SantosMarch 10, 2024 10:03:29 UTC 2024 年 3 月 10 日 (日) 19 時 3 分 29 秒 (日本時間)
5043e66454Ignacio SantosMay 12, 2024 09:09:59 UTC 2024 年 5 月 12 日 (日) 18 時 9 分 59 秒 (日本時間)

43×10251+29

c221

composite cofactor 合成数の残り
10128622673904457395609075762969506251314714127761835579930407087317878587443025498677068702779414231686182729410527501113130258668128447872279340169610491020823488722345944685555044439006567239947274992071979731674847131<221>

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)

43×10252+29

c175

composite cofactor 合成数の残り
1010475615267049306529018560503882061816585382382745608069129487426778926992960175189085710623049180015036713539808946032573597810362868179344183375360056279245919503245674031<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)
403e61792 / 2078Dmitry DomanovMarch 2, 2024 16:21:30 UTC 2024 年 3 月 3 日 (日) 1 時 21 分 30 秒 (日本時間)

43×10255+29

c224

composite cofactor 合成数の残り
24356513126936692622354899179068977886334041411780479726047487894716545433221443253666476007950787910373709412953918982339671677178808454587350420370763492967364582109833832320502592606199294250618321158778065794972155354921<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)

43×10256+29

c179

composite cofactor 合成数の残り
59128542553807584791651004097286961247805514037014703101234721552822098221304123832253727929242138987239214586901246336974649323205816364548155069298186560609042398421935968438067<179>

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 DomanovMarch 2, 2024 16:21:46 UTC 2024 年 3 月 3 日 (日) 1 時 21 分 46 秒 (日本時間)

43×10259+29

c223

composite cofactor 合成数の残り
2273107368093594425557705029490370621358926206425215503352232395279317641431708958161718578931001029214098631132603107264952861574129259746341003596627886732679786165226776099032120551796985021804284970437033202072858285083<223>

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)

43×10261+29

c226

composite cofactor 合成数の残り
2364458212029222842183006325541543339710874510461974492533900918981132621716342236880419579396290980051482136709611823293919174316925658076970710675912632364478483901179682795570924314646380238524869685818029440399235731945533<226>

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)

43×10262+29

c222

composite cofactor 合成数の残り
779826507198768021052977465078761159589542756925618278933646484555146553457584611772504561454779406377934698930839936731038739055960623251011640511975420114858543326540691373620619666753081862710124186745504315259374430851<222>

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)

43×10263+29

c207

composite cofactor 合成数の残り
437184125935021565233628742127691500817980216065247482653332553467201444677967434865939184343126175659020757903754243049148408691629644926276094661224738182766540793270216666697071453297273597637107752272283<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)

43×10264+29

c238

composite cofactor 合成数の残り
3780961557851596822129985382006750866510714096685291847414189484763009692184155251425341554928419959440755044602069669759574042324097141435469415438031183156971074849452768200210899008160148934512011597949506291777862186768434585179249207<238>

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)

43×10265+29

c238

composite cofactor 合成数の残り
3729204012019936196334819131579116902283148040276744840855725092494098450130582807984057372441676277336308666468401775487141341979977802149639412266106082253997437685799897012526537859503607461341177712547121296569034255040864702349165201<238>

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)

43×10268+29

c209

composite cofactor 合成数の残り
95709695171003304948548588126374503057606871651755796743217434631005486516777659701250886108170158893930864896340292996095585949341923660704496642327830477008327712716709477040711609388737540974708354155991841<209>

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)

43×10269+29

c259

composite cofactor 合成数の残り
6527392390295951636986047816310417368533318847996735694079610848406363181123493607476784058118564013138810002298398722062121792083020595516291434241129252350715739433381892973705583833780347897836960250815336037751503525628342698669243544295347092715336010239<259>

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)

43×10270+29

c244

composite cofactor 合成数の残り
2008994119597170452771937481361830232707065239656885242458198417498189958701111486020573560616394308745673664895009043823513962018070318899468699028038904628962363884143685581282641251358410754534681792701625282909577927186556050146602523778827<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)

43×10274+29

c267

composite cofactor 合成数の残り
148686376232561044331114858602537676579672432530007329470711625175100597415843090926912024346568380020374833001772742020561144638402087791300997334200577397331803061447922302463833461875471844544822409569684220503481018815121905432204680846709327443615624397887171573<267>

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)

43×10275+29

c264

composite cofactor 合成数の残り
435528394998841709597034505631501174915806003651363603919700762438400065117687901475295393906627364597128788851874796343429282278124429168091975127237019567629552085534396335205907136560395098014558846756112978114734261473861812992881700284014502698394510315446293<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)

43×10276+29

c266

composite cofactor 合成数の残り
66127542946782659697094560005677795234609757287926589539516637629015744351054864452542757313177828563099012194243254992828549458084228695690498433447840801373303960985726183741274113938543956390731633779117974983772057288553025596090459983140787662295255703030203951<266>

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)

43×10277+29

c253

composite cofactor 合成数の残り
8902530205046465510134107702740427584975957110275765787479843563681595534728567652417972382072581670455075313486871701034360275223179744379814562047189910029687886692834317316093004483549733020250068681407264538361210755575355778755456236921123321407021<253>

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)

43×10279+29

c222

composite cofactor 合成数の残り
228406608521015067149695945127312737871541222783279118149552701921273667508510917598420961836586853168306050070423365232798778255614916040866788263967683066857329363871325353965069743359880071606435012101642399706936860347<222>

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)

43×10280+29

c277

composite cofactor 合成数の残り
3251516113908927302149025301332365440164541838694554088592471605946493655762745186999984876669237632896269074300924035509580630037959560213541430364623504680670870952618604721503864011009784795003251516113908927302149025301332365440164541838694554088592471605946493655762745187<277>

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)

43×10281+29

c263

composite cofactor 合成数の残り
12213748590155797407968000180216516245534925003389791625574058692501614747392953882074908072364662741590123016064050566568914923782175167370280771950503658728356472635328108407977011497025710129121405629514373214240913612450793887556367201919827628072051093449849<263>

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)

43×10282+29

c247

composite cofactor 合成数の残り
5736008925705624865624355657241954215996526876027782176569794495450369079072678098447924969357163298249417127139328598724384738298082012747693433982988367810008974685758171336732731730856394546419259067540916892329432173347269040742238717577834623<247>

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)

43×10284+29

c269

composite cofactor 合成数の残り
77589320704948633503023026798387958089409776631496744795653786221874675083500011696999084863734060895704695640658449611334153044731177955868685431237870233212774610897136397767091932871006038559284395991616325558187185583602976941773926284592367535977613498606409958339<269>

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)

43×10285+29

c217

composite cofactor 合成数の残り
1904285562644227126489083926662943605941260070415792712562107961569294703968217337904486556888835786779047552783901214803115635111984133550598633919573852459561649521809172632750307380478304027645270958144587096083523<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)

43×10286+29

c240

composite cofactor 合成数の残り
633703185056633392831523707318695550932468882654144659735658917923610797799994224570089166427495270669255979576931645860456754834849417825218479238954428151382941352194450720587462729932210377795489241448559814233019452579932302766126203909<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)

43×10287+29

c258

composite cofactor 合成数の残り
222748729800449917092296100394350051055425923599565614473824462015692069739812197581926945953249943037165353075631538829606969371385789378793423800050019665035149264711137689824048850977797249060102963691539367964326542462485091081731214003583364634047530909<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)

43×10288+29

c256

composite cofactor 合成数の残り
1426494552518626000598029133366199696359069639309601831855482199190432259275714144839207548279420310168430223235716584610301408546686530544330783141415247819171579900576903563087310715988709630618651431778998925190495126712850732430133027176199955713327227<256>

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)

43×10291+29

c292

composite cofactor 合成数の残り
2388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<292>

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)

43×10293+29

c276

composite cofactor 合成数の残り
107269986893528293699956215862582602007183769404355084201182125995788751375745381988024736088104476380322516570991699100920153086121496258754369909275161660060263416604102945449543903491303996692455903375729927982335594862714988267022825908669309459630107616268687410266763261<276>

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)

43×10294+29

c294

composite cofactor 合成数の残り
125730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731<294>

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)

43×10296+29

c273

composite cofactor 合成数の残り
869942128473557872551128089173593096910676183829731516602262438361802830346394821512286114876062324108506196518922584242652585125983373750341602748229109688777760632080112707059103721245929950566259915707063820908788742765762742594600416882102200716729379936084951954994781<273>

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)

43×10298+29

c224

composite cofactor 合成数の残り
46934760751469027059723297762091414321136466160297729936840959201422032927039636172206689100380408230626131242382269882389869339251664903000735789385884869992179321911369830020066039240347504256672821961156091533916517044561<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)

43×10299+29

c241

composite cofactor 合成数の残り
1437122787319952267115322793440802878133489344213838821782219999909875819049904457518852371155616050096953481385578136052699169349831904498050793767633914383907314956693889631287473424206442934470462833021869336423146166403002623695260763269<241>

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)

43×10300+29

c268

composite cofactor 合成数の残り
1976151859113433904797917487942092291081953979516025713392629078392935486904103231061904242065162784326051440613711861111589612533843378113733992436503746010280870716726770223250502037505553401708570930652350968003158451932931870167811803314084080051079844634993500621<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 DomanovJuly 1, 2022 07:38:59 UTC 2022 年 7 月 1 日 (金) 16 時 38 分 59 秒 (日本時間)
4511e63584Dmitry DomanovJuly 9, 2022 14:16:36 UTC 2022 年 7 月 9 日 (土) 23 時 16 分 36 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 9, 2022 14:16:36 UTC 2022 年 7 月 9 日 (土) 23 時 16 分 36 秒 (日本時間)