Table of contents 目次

29×10104+169

c103

name 名前Dmitry Domanov
date 日付July 27, 2022 16:09:26 UTC 2022 年 7 月 28 日 (木) 1 時 9 分 26 秒 (日本時間)
composite number 合成数
6712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<103>
prime factors 素因数
2375283311049755681709871846016047818982067381<46>
2826173590213190686351548933833369198499470251202245677223<58>
factorization results 素因数分解の結果
N=6712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
  ( 103 digits)
SNFS difficulty: 105 digits.
Divisors found:
p46 factor: 2375283311049755681709871846016047818982067381
p58 factor: 2826173590213190686351548933833369198499470251202245677223
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 100000000000000000000000000
deg: 4
c4: 29
c0: 16
skew: 0.86
# Murphy_E = 2.392e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 32320 x 32545
Total sieving time: 0.10 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,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.11 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10111+169

c105

name 名前Dmitry Domanov
date 日付July 27, 2022 16:32:33 UTC 2022 年 7 月 28 日 (木) 1 時 32 分 33 秒 (日本時間)
composite number 合成数
430593239888067138810669399656808278983557633806403853934220557340884216388010478679517231925715123313589<105>
prime factors 素因数
1020936168182484997337962278061058471297906731519211<52>
421763135940837482477410918078757960011833574154424799<54>
factorization results 素因数分解の結果
N=430593239888067138810669399656808278983557633806403853934220557340884216388010478679517231925715123313589
  ( 105 digits)
SNFS difficulty: 112 digits.
Divisors found:
p52 factor: 1020936168182484997337962278061058471297906731519211
p54 factor: 421763135940837482477410918078757960011833574154424799
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 430593239888067138810669399656808278983557633806403853934220557340884216388010478679517231925715123313589
m: 5000000000000000000000000000
deg: 4
c4: 29
c0: 10
skew: 0.77
# Murphy_E = 1.026e-07
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [260000, 460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51694 x 51919
Total sieving time: 0.19 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,112.000,4,0,0,0,0,0,0,0,0,520000,520000,25,25,45,45,2.2,2.2,20000
total time: 0.20 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10113+169

c99

name 名前Dmitry Domanov
date 日付July 27, 2022 16:43:29 UTC 2022 年 7 月 28 日 (木) 1 時 43 分 29 秒 (日本時間)
composite number 合成数
140086865669961527292960715290137552749825289444318926198096798484525637756937771130131464481874713<99>
prime factors 素因数
299619387529745536632512761996363101611<39>
467549402676934647321927708405178388892964448068950999531083<60>
factorization results 素因数分解の結果
N=140086865669961527292960715290137552749825289444318926198096798484525637756937771130131464481874713
  ( 99 digits)
SNFS difficulty: 114 digits.
Divisors found:
p39 factor: 299619387529745536632512761996363101611
p60 factor: 467549402676934647321927708405178388892964448068950999531083
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
32224_113.poly
n: 140086865669961527292960715290137552749825289444318926198096798484525637756937771130131464481874713
m: 10000000000000000000000000000
deg: 4
c4: 145
c0: 8
skew: 0.48
# Murphy_E = 9.814e-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, 480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51585 x 51812
Total sieving time: 0.20 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: 0.21 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10131+169

c118

name 名前Bob Backstrom
date 日付July 28, 2022 22:31:25 UTC 2022 年 7 月 29 日 (金) 7 時 31 分 25 秒 (日本時間)
composite number 合成数
1755027977196207641568707965181606038550682754066251774515455045956349894779697832027577667339758030495859894343794297<118>
prime factors 素因数
161145258852572884237400235948852234565013<42>
10890968742690914357984661523029223156336431551314271657643400706279347446869<77>
factorization results 素因数分解の結果
Number: n
N=1755027977196207641568707965181606038550682754066251774515455045956349894779697832027577667339758030495859894343794297  ( 118 digits)
SNFS difficulty: 132 digits.
Divisors found:

Fri Jul 29 07:54:38 2022  p42 factor: 161145258852572884237400235948852234565013
Fri Jul 29 07:54:38 2022  p77 factor: 10890968742690914357984661523029223156336431551314271657643400706279347446869
Fri Jul 29 07:54:38 2022  elapsed time 00:02:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 29x10^131+16 = 32(130)4
#
n: 1755027977196207641568707965181606038550682754066251774515455045956349894779697832027577667339758030495859894343794297
m: 500000000000000000000000000000000
deg: 4
c4: 29
c0: 10
skew: 0.77
# Murphy_E = 1.144e-08
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6160000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 466337 hash collisions in 6536163 relations (6776265 unique)
Msieve: matrix is 232114 x 232362 (35.5 MB)

Sieving start time : 2022/07/29 07:46:42
Sieving end time  : 2022/07/29 07:52:07

Total sieving time: 0hrs 5min 25secs.

Total relation processing time: 0hrs 0min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 5sec.

Prototype def-par.txt line would be:
snfs,132,4,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10136+169

c136

name 名前Bob Backstrom
date 日付July 27, 2022 18:32:16 UTC 2022 年 7 月 28 日 (木) 3 時 32 分 16 秒 (日本時間)
composite number 合成数
2013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<136>
prime factors 素因数
53768282622622292496905943098809604763673<41>
37454960260188258689574023590341085400304367198785471248613837116932116995087871967539421500193<95>
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 2013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (136 digits)
Using B1=10780000, B2=35133391030, polynomial Dickson(12), sigma=1:3494926239
Step 1 took 20331ms
Step 2 took 9697ms
********** Factor found in step 2: 53768282622622292496905943098809604763673
Found prime factor of 41 digits: 53768282622622292496905943098809604763673
Prime cofactor 37454960260188258689574023590341085400304367198785471248613837116932116995087871967539421500193 has 95 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10137+169

c112

name 名前Bob Backstrom
date 日付July 28, 2022 12:46:17 UTC 2022 年 7 月 28 日 (木) 21 時 46 分 17 秒 (日本時間)
composite number 合成数
9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839<112>
prime factors 素因数
16646497606439940037709242674558119080289522967870195821<56>
593018660401657395387545054532343411538842888766433331459<57>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 21:56:03 AEST (9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839 - C112)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839 2>&1 | tee -a log192

Debug:root: Looking for parameter file for c112 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.hoc9iefq
Info:Database: Opened connection to database /tmp/cado.hoc9iefq/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839
Debug:root: Root parameter dictionary:
N = 9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839
skew: 21273.498
c0: -10379265627403338273410841
c1: 8826811697283561533877
c2: 1014560839464526954
c3: -42985706915177
c4: -840408513
c5: 18480
Y0: -3513023422734975466978
Y1: 127010180299531
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 3.63e-09
# f(x) = 18480*x^5-840408513*x^4-42985706915177*x^3+1014560839464526954*x^2+8826811697283561533877*x-10379265627403338273410841
# g(x) = 127010180299531*x-3513023422734975466978
===
Info:Square Root: finished
Info:Square Root: Factors: 16646497606439940037709242674558119080289522967870195821 593018660401657395387545054532343411538842888766433331459
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27943/32.930/39.590/44.000/0.897
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 27943/31.640/36.022/40.370/1.289
Info:Polynomial Selection (size optimized): Total time: 949.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 245.58
Info:Polynomial Selection (root optimized): Rootsieve time: 244.64
Info:Generate Factor Base: Total cpu/real time for makefb: 4.37/0.426494
Info:Generate Free Relations: Total cpu/real time for freerel: 35.99/2.4218
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4069800
Info:Lattice Sieving: Average J: 1894.88 for 144723 special-q, max bucket fill: 0.746105
Info:Lattice Sieving: Total CPU time: 34554s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.9/10.8937
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 74.69/41.8665
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.83/34.4803
Info:Filtering - Merging: Total cpu/real time for merge: 132.35/107.848
Info:Filtering - Merging: Total cpu/real time for replay: 13.46/10.3661
Info:Linear Algebra: Total cpu/real time for bwc: 3290.61/0.000313044
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 136.73
Info:Linear Algebra: Lingen CPU time 77.13, WCT time 7.87
Info:Linear Algebra: Mksol: WCT time 75.18
Info:Quadratic Characters: Total cpu/real time for characters: 12.95/3.09632
Info:Square Root: Total cpu/real time for sqrt: 270.26/38.0416
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 39652.6/2888.05
Info:root: Cleaning up computation data in /tmp/cado.hoc9iefq
16646497606439940037709242674558119080289522967870195821 593018660401657395387545054532343411538842888766433331459

END:Thu 28 Jul 2022 22:44:12 AEST (9871683710950409482570353922644058684855782801352445083578806877715183082647463762161725146831822248963729632839 - C112)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10139+169

c126

name 名前Bob Backstrom
date 日付July 28, 2022 17:12:31 UTC 2022 年 7 月 29 日 (金) 2 時 12 分 31 秒 (日本時間)
composite number 合成数
276902094184218944593668999007977942465229939891661335143689365698983942012722987278691294699679067526545681902520485217235931<126>
prime factors 素因数
421265297691407591077648376266623440724421133142708702042157<60>
657310477985442723091563892689104933902740011327769693860968511783<66>
factorization results 素因数分解の結果
Number: n
N=276902094184218944593668999007977942465229939891661335143689365698983942012722987278691294699679067526545681902520485217235931  ( 126 digits)
SNFS difficulty: 140 digits.
Divisors found:

Fri Jul 29 02:55:24 2022  p60 factor: 421265297691407591077648376266623440724421133142708702042157
Fri Jul 29 02:55:24 2022  p66 factor: 657310477985442723091563892689104933902740011327769693860968511783
Fri Jul 29 02:55:24 2022  elapsed time 00:02:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 9x10^139+16 = 32(138)4
#
n: 276902094184218944593668999007977942465229939891661335143689365698983942012722987278691294699679067526545681902520485217235931
m: 50000000000000000000000000000000000
deg: 4
c4: 29
c0: 10
skew: 0.77
# Murphy_E = 4.597e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6360000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 421945 hash collisions in 6490690 relations (6793923 unique)
Msieve: matrix is 201718 x 201943 (68.1 MB)

Sieving start time : 2022/07/29 02:38:46
Sieving end time  : 2022/07/29 02:52:45

Total sieving time: 0hrs 13min 59secs.

Total relation processing time: 0hrs 0min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 6sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10143+169

c100

name 名前Bob Backstrom
date 日付July 27, 2022 20:43:21 UTC 2022 年 7 月 28 日 (木) 5 時 43 分 21 秒 (日本時間)
composite number 合成数
1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889<100>
prime factors 素因数
835519265670866810264179447757222183391101875223<48>
1885762094151606930748951165918642572975091648644143<52>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 06:29:36 AEST (1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889 - C100)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889 2>&1 | tee -a log178

Debug:root: Looking for parameter file for c100 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.cg4hm3ar
Info:Database: Opened connection to database /tmp/cado.cg4hm3ar/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889
Debug:root: Root parameter dictionary:
N = 1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889
skew: 237338.862
c0: -246331699945936148783338868
c1: -11843245923154825356
c2: -1404887711973238
c3: -325127313
c4: 102060
Y0: -352490139650708852354751
Y1: 21664807722163
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 9.93e-09
# f(x) = 102060*x^4-325127313*x^3-1404887711973238*x^2-11843245923154825356*x-246331699945936148783338868
# g(x) = 21664807722163*x-352490139650708852354751
===
Info:Square Root: finished
Info:Square Root: Factors: 835519265670866810264179447757222183391101875223 1885762094151606930748951165918642572975091648644143
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 79.71/11.762
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2953/32.660/37.751/39.050/0.701
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2953/32.480/36.442/38.560/0.988
Info:Polynomial Selection (size optimized): Total time: 60.09
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 39.44
Info:Polynomial Selection (root optimized): Rootsieve time: 39.23
Info:Generate Factor Base: Total cpu/real time for makefb: 1.03/0.114713
Info:Generate Free Relations: Total cpu/real time for freerel: 26.36/1.76704
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2708906
Info:Lattice Sieving: Average J: 983.698 for 91778 special-q, max bucket fill: 0.818984
Info:Lattice Sieving: Total CPU time: 7166.33s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.25/5.45549
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.05/9.1485
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.17/9.50799
Info:Filtering - Merging: Total cpu/real time for merge: 45.03/34.183
Info:Filtering - Merging: Total cpu/real time for replay: 5.15/4.01935
Info:Linear Algebra: Total cpu/real time for bwc: 682.36/0.000324488
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 25.92
Info:Linear Algebra: Lingen CPU time 30.92, WCT time 3.29
Info:Linear Algebra: Mksol: WCT time 17.51
Info:Quadratic Characters: Total cpu/real time for characters: 5.25/1.19834
Info:Square Root: Total cpu/real time for sqrt: 79.71/11.762
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 8167.22/683.616
Info:root: Cleaning up computation data in /tmp/cado.cg4hm3ar
835519265670866810264179447757222183391101875223 1885762094151606930748951165918642572975091648644143

END:Thu 28 Jul 2022 06:41:00 AEST (1575590560135506622368857364309151415311759539193972370309676926443127018085547918479179972715768889 - C100)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10147+169

c127

name 名前Ignacio Santos
date 日付August 4, 2022 10:11:21 UTC 2022 年 8 月 4 日 (木) 19 時 11 分 21 秒 (日本時間)
composite number 合成数
2247015507576732599056975488107923163538886847830510679687430696308257808440893740237145761296747161624414669157425053897692033<127>
prime factors 素因数
30796653648303690669329044036488452201743<41>
72962976212855528100546253030076323708724949990020197261052075452592713372218190866031<86>
factorization results 素因数分解の結果
N=2247015507576732599056975488107923163538886847830510679687430696308257808440893740237145761296747161624414669157425053897692033
  ( 127 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=30796653648303690669329044036488452201743 (pp41)
 r2=72962976212855528100546253030076323708724949990020197261052075452592713372218190866031 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.12 hours.
Scaled time: 70.20 units (timescale=7.698).
Factorization parameters were as follows:
n: 2247015507576732599056975488107923163538886847830510679687430696308257808440893740237145761296747161624414669157425053897692033
m: 5000000000000000000000000000000000000
deg: 4
c4: 29
c0: 10
skew: 0.77
# Murphy_E = 1.814e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 334990 x 335215
Total sieving time: 9.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.12 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10149+169

c142

name 名前Bob Backstrom
date 日付August 2, 2022 00:58:34 UTC 2022 年 8 月 2 日 (火) 9 時 58 分 34 秒 (日本時間)
composite number 合成数
2416279385406773668983002071094711606290410439681394532750957343223694772868471308085406737674752157390880056411225075511563673241119580020381<142>
prime factors 素因数
64711965842908348370736224263471909841093107<44>
37338989071548485057610271965637675977056271564829210333634614071759597357630372678304774500577583<98>
factorization results 素因数分解の結果
Number: n
N=2416279385406773668983002071094711606290410439681394532750957343223694772868471308085406737674752157390880056411225075511563673241119580020381  ( 142 digits)
SNFS difficulty: 149 digits.
Divisors found:

Tue Aug  2 10:51:27 2022  p44 factor: 64711965842908348370736224263471909841093107
Tue Aug  2 10:51:27 2022  p98 factor: 37338989071548485057610271965637675977056271564829210333634614071759597357630372678304774500577583
Tue Aug  2 10:51:27 2022  elapsed time 00:03:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 29x10^149+16 = 32(148)4
#
n: 2416279385406773668983002071094711606290410439681394532750957343223694772868471308085406737674752157390880056411225075511563673241119580020381
m: 500000000000000000000000000000
deg: 5
c5: 29
c0: 5
skew: 0.70
# Murphy_E = 1.813e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 505472 hash collisions in 6189315 relations (6093414 unique)
Msieve: matrix is 328574 x 328799 (112.0 MB)

Sieving start time : 2022/08/02 10:45:49
Sieving end time  : 2022/08/02 10:47:17

Total sieving time: 0hrs 1min 28secs.

Total relation processing time: 0hrs 1min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10156+169

c139

name 名前Bob Backstrom
date 日付August 3, 2022 13:37:05 UTC 2022 年 8 月 3 日 (水) 22 時 37 分 5 秒 (日本時間)
composite number 合成数
4616633363739063794643368495634510984503788967828039043626200458678231782046571225706696822203461630942781238840134312520144723177220517417<139>
prime factors 素因数
690063673965446772724575217185912053476026152439141513042892027<63>
6690155615944261778586319339758966775539811193027768299807376833123570710571<76>
factorization results 素因数分解の結果
Number: n
N=4616633363739063794643368495634510984503788967828039043626200458678231782046571225706696822203461630942781238840134312520144723177220517417  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:

Wed Aug  3 23:33:48 2022  p63 factor: 690063673965446772724575217185912053476026152439141513042892027
Wed Aug  3 23:33:48 2022  p76 factor: 6690155615944261778586319339758966775539811193027768299807376833123570710571
Wed Aug  3 23:33:48 2022  elapsed time 00:07:05 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 29x10^156+16 = 32(155)4
#
n: 4616633363739063794643368495634510984503788967828039043626200458678231782046571225706696822203461630942781238840134312520144723177220517417
m: 10000000000000000000000000000000
deg: 5
c5: 145
c0: 8
skew: 0.56
# Murphy_E = 7.242e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 21450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 869918 hash collisions in 11783329 relations (11690187 unique)
Msieve: matrix is 445987 x 446216 (151.1 MB)

Sieving start time : 2022/08/03 21:38:47
Sieving end time  : 2022/08/03 23:26:08

Total sieving time: 1hrs 47min 21secs.

Total relation processing time: 0hrs 3min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10157+169

c139

name 名前Bob Backstrom
date 日付August 3, 2022 11:40:33 UTC 2022 年 8 月 3 日 (水) 20 時 40 分 33 秒 (日本時間)
composite number 合成数
1017964377560898460101785693297242425763359205651126541881999427114628085690891897642220250528334024215359974380635767752856250382561612949<139>
prime factors 素因数
722898191959462443075997308317738164231950910753327<51>
1408171148971392472665019184409232925740765498598294377781288634187438934678716944830587<88>
factorization results 素因数分解の結果
Number: n
N=1017964377560898460101785693297242425763359205651126541881999427114628085690891897642220250528334024215359974380635767752856250382561612949  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:

Wed Aug  3 21:36:03 2022  p51 factor: 722898191959462443075997308317738164231950910753327
Wed Aug  3 21:36:03 2022  p88 factor: 1408171148971392472665019184409232925740765498598294377781288634187438934678716944830587
Wed Aug  3 21:36:03 2022  elapsed time 00:06:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 29x10^157+16 = 32(156)4
#
n: 1017964377560898460101785693297242425763359205651126541881999427114628085690891897642220250528334024215359974380635767752856250382561612949
m: 10000000000000000000000000000000
deg: 5
c5: 725
c0: 4
skew: 0.35
# Murphy_E = 6.629e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1545082 hash collisions in 14946112 relations (14345858 unique)
Msieve: matrix is 418390 x 418615 (138.7 MB)

Sieving start time : 2022/08/03 20:43:02
Sieving end time  : 2022/08/03 21:29:25

Total sieving time: 0hrs 46min 23secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10159+169

c117

name 名前Bob Backstrom
date 日付August 5, 2022 00:22:47 UTC 2022 年 8 月 5 日 (金) 9 時 22 分 47 秒 (日本時間)
composite number 合成数
808145083948511616751799742498578464508239317672547497147285241263906946702732127098049702164233791887442084922583273<117>
prime factors 素因数
6280477783576688550142205143415804905751<40>
128675733247841949209649266436876266404567715567623113072934338226718504001023<78>
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 808145083948511616751799742498578464508239317672547497147285241263906946702732127098049702164233791887442084922583273 (117 digits)
Using B1=10920000, B2=35133391030, polynomial Dickson(12), sigma=1:2355309209
Step 1 took 16998ms
Step 2 took 8298ms
********** Factor found in step 2: 6280477783576688550142205143415804905751
Found prime factor of 40 digits: 6280477783576688550142205143415804905751
Prime cofactor 128675733247841949209649266436876266404567715567623113072934338226718504001023 has 78 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10162+169

c129

name 名前Norman Powell
date 日付August 14, 2022 02:27:06 UTC 2022 年 8 月 14 日 (日) 11 時 27 分 6 秒 (日本時間)
composite number 合成数
453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287<129>
prime factors 素因数
77343429827509994952286953585017707292555371001808427<53>
5861865377782544824439210620468004290211639425054528435051151894659855656181<76>
factorization results 素因数分解の結果
08/12/22 14:50:20 v1.35-beta @ 7700KL, 
08/12/22 14:50:20 v1.35-beta @ 7700KL, ****************************
08/12/22 14:50:20 v1.35-beta @ 7700KL, Starting factorization of 453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287
08/12/22 14:50:20 v1.35-beta @ 7700KL, using pretesting plan: normal
08/12/22 14:50:20 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/12/22 14:50:20 v1.35-beta @ 7700KL, ****************************
08/12/22 14:50:20 v1.35-beta @ 7700KL, rho: x^2 + 3, starting 2000 iterations on C129
08/12/22 14:50:20 v1.35-beta @ 7700KL, rho: x^2 + 2, starting 2000 iterations on C129
08/12/22 14:50:21 v1.35-beta @ 7700KL, rho: x^2 + 1, starting 2000 iterations on C129
08/12/22 14:50:21 v1.35-beta @ 7700KL, pm1: starting B1 = 150K, B2 = gmp-ecm default on C129
08/12/22 14:50:21 v1.35-beta @ 7700KL, final ECM pretested depth: 0.00
08/12/22 14:50:21 v1.35-beta @ 7700KL, scheduler: switching to sieve method
08/12/22 14:50:21 v1.35-beta @ 7700KL, nfs: commencing nfs on c129: 453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287
08/12/22 14:50:21 v1.35-beta @ 7700KL, nfs: commencing poly selection with 6 threads
08/12/22 14:50:21 v1.35-beta @ 7700KL, nfs: setting deadline of 8188 seconds
08/12/22 14:50:21 v1.35-beta @ 7700KL, nfs: expecting degree 5 poly E from 8.31e-011 to > 9.56e-011
08/12/22 17:51:43 v1.35-beta @ 7700KL, nfs: completed 10 ranges of size 250 in 10881.7222 seconds
08/12/22 17:51:43 v1.35-beta @ 7700KL, nfs: best poly = # norm 2.541807e-012 alpha -6.208653 e 9.292e-011 rroots 5
08/12/22 17:51:43 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 18:06:37 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 18:21:31 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 18:36:31 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 18:51:51 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 19:07:06 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 19:22:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 19:37:59 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 19:53:42 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 20:09:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 20:24:28 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 20:39:38 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 20:55:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 21:11:15 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 21:26:49 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 21:42:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 21:58:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 22:13:16 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 22:28:58 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 22:44:19 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 23:00:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 23:16:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 23:31:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 23:47:12 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 00:03:23 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 00:19:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 00:35:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 00:51:35 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 01:08:13 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 01:23:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 01:39:28 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 01:55:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 02:11:38 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 02:27:54 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 02:44:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 03:00:11 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 03:16:37 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 03:32:32 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 03:48:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 04:04:50 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 04:20:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 04:36:34 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 04:52:39 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 05:09:00 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 05:25:14 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 05:41:56 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 05:58:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 06:14:15 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 06:31:33 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 06:47:28 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 07:04:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 07:21:29 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 07:37:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 07:54:15 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 08:11:06 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 13:04:49 v1.35-beta @ 7700KL, 
08/13/22 13:04:49 v1.35-beta @ 7700KL, ****************************
08/13/22 13:04:49 v1.35-beta @ 7700KL, Starting factorization of 453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287
08/13/22 13:04:49 v1.35-beta @ 7700KL, using pretesting plan: normal
08/13/22 13:04:49 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/13/22 13:04:49 v1.35-beta @ 7700KL, ****************************
08/13/22 13:04:49 v1.35-beta @ 7700KL, nfs: previous data file found - commencing search for last special-q
08/13/22 13:04:53 v1.35-beta @ 7700KL, nfs: parsing special-q from .dat file
08/13/22 13:04:54 v1.35-beta @ 7700KL, nfs: commencing nfs on c129: 453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287
08/13/22 13:04:54 v1.35-beta @ 7700KL, nfs: resuming with filtering
08/13/22 13:04:54 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 13:21:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 01:18:58 v1.35-beta @ 7700KL, 
08/14/22 01:18:58 v1.35-beta @ 7700KL, ****************************
08/14/22 01:18:58 v1.35-beta @ 7700KL, Starting factorization of 453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287
08/14/22 01:18:58 v1.35-beta @ 7700KL, using pretesting plan: normal
08/14/22 01:18:58 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/14/22 01:18:58 v1.35-beta @ 7700KL, ****************************
08/14/22 01:18:58 v1.35-beta @ 7700KL, nfs: previous data file found - commencing search for last special-q
08/14/22 01:19:14 v1.35-beta @ 7700KL, nfs: parsing special-q from .dat file
08/14/22 01:19:14 v1.35-beta @ 7700KL, nfs: commencing nfs on c129: 453376773504834622248150875350663821718982969899001852152195407047856019657266714791528422278006639636770236734884936935740437287
08/14/22 01:19:14 v1.35-beta @ 7700KL, nfs: resuming with filtering
08/14/22 01:19:14 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 21:35:40 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/13/22 21:52:40 v1.35-beta @ 7700KL, nfs: commencing msieve filtering
08/13/22 21:56:57 v1.35-beta @ 7700KL, nfs: commencing msieve linear algebra
08/13/22 22:14:49 v1.35-beta @ 7700KL, nfs: commencing msieve sqrt
08/13/22 22:17:03 v1.35-beta @ 7700KL, prp53 = 77343429827509994952286953585017707292555371001808427
08/13/22 22:17:03 v1.35-beta @ 7700KL, prp76 = 5861865377782544824439210620468004290211639425054528435051151894659855656181
08/13/22 22:17:03 v1.35-beta @ 7700KL, NFS elapsed time = -10914.8325 seconds.
08/13/22 22:17:03 v1.35-beta @ 7700KL, 
08/13/22 22:17:03 v1.35-beta @ 7700KL, 
08/13/22 22:17:03 v1.35-beta @ 7700KL, Total factoring time = -10914.7544 seconds
 
software ソフトウェア
Yafu v1.35
execution environment 実行環境
i7-7700, Windows 10 v21H1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10164+169

c143

name 名前Bob Backstrom
date 日付July 31, 2022 22:14:09 UTC 2022 年 8 月 1 日 (月) 7 時 14 分 9 秒 (日本時間)
composite number 合成数
43127994950846521009223625274193161455086938975019017197507685159539222068445846756186272166404517374189461492362055743636530467558355467132021<143>
prime factors 素因数
2719674449086970154459653627406661704077<40>
15857778479819577687052331942423190346726087745631857356132429457216939082650687076732805742810793947273<104>
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 43127994950846521009223625274193161455086938975019017197507685159539222068445846756186272166404517374189461492362055743636530467558355467132021 (143 digits)
Using B1=10950000, B2=35133391030, polynomial Dickson(12), sigma=1:1905450376
Step 1 took 21503ms
Step 2 took 9903ms
********** Factor found in step 2: 2719674449086970154459653627406661704077
Found prime factor of 40 digits: 2719674449086970154459653627406661704077
Prime cofactor 15857778479819577687052331942423190346726087745631857356132429457216939082650687076732805742810793947273 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10170+169

c157

name 名前Bob Backstrom
date 日付July 31, 2022 14:23:33 UTC 2022 年 7 月 31 日 (日) 23 時 23 分 33 秒 (日本時間)
composite number 合成数
1249183026574733247084486374051718790397515594995372247789222519350626938906580048957685015208926554418251595799868056320353562153292776524916320126615250109<157>
prime factors 素因数
678692539981888562407189549746120355837<39>
1840572796936988089527601430954592194597155032226496445707056397889434650230883433985387887807344090867890658777400257<118>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1249183026574733247084486374051718790397515594995372247789222519350626938906580048957685015208926554418251595799868056320353562153292776524916320126615250109 (157 digits)
Using B1=18870000, B2=70271330230, polynomial Dickson(12), sigma=1:1574124047
Step 1 took 43737ms
Step 2 took 18461ms
********** Factor found in step 2: 678692539981888562407189549746120355837
Found prime factor of 39 digits: 678692539981888562407189549746120355837
Prime cofactor 1840572796936988089527601430954592194597155032226496445707056397889434650230883433985387887807344090867890658777400257 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10172+169

c135

name 名前ebina
date 日付July 28, 2022 03:50:11 UTC 2022 年 7 月 28 日 (木) 12 時 50 分 11 秒 (日本時間)
composite number 合成数
365694416036559544701054648482883316409688957101087088910179427481066529481226984354048105144051593900284297861103684572464218537989623<135>
prime factors 素因数
205614105558490595592121467038052430787<39>
83931254419238367019734128691683935034790121<44>
21190524680730168208723100784981494048634996939610549<53>
factorization results 素因数分解の結果
X:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2019359897 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 365694416036559544701054648482883316409688957101087088910179427481066529481226984354048105144051593900284297861103684572464218537989623 (135 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2019359897
Step 1 took 5023ms
********** Factor found in step 1: 205614105558490595592121467038052430787
Found probable prime factor of 39 digits: 205614105558490595592121467038052430787
Composite cofactor 1778547318255513616829752216206102860079286696562940223087190071163003066731845328193995692586429 has 97 digits
Number: 32224_172
N = 1778547318255513616829752216206102860079286696562940223087190071163003066731845328193995692586429 (97 digits)
Divisors found:
r1=83931254419238367019734128691683935034790121 (pp44)
r2=21190524680730168208723100784981494048634996939610549 (pp53)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 0.56 hours.
Factorization parameters were as follows:
n: 1778547318255513616829752216206102860079286696562940223087190071163003066731845328193995692586429
# norm 2.946346e-13 alpha -4.681167 e 1.705e-08 rroots 4
skew: 3814267.53
c0: 17901346920304762391167863809
c1: -15263079190083356462841
c2: -1611208356502461
c3: 2217987329
c4: 180
Y0: -315281306369596342019500
Y1: 1975295203
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 2072965
Relations: 226878 relations
Pruned matrix : 137321 x 137548
Polynomial selection time: 0.02 hours.
Total sieving time: 0.50 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 0.56 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10173+169

c128

name 名前Bob Backstrom
date 日付August 10, 2022 11:06:33 UTC 2022 年 8 月 10 日 (水) 20 時 6 分 33 秒 (日本時間)
composite number 合成数
84900240062011880436499951785953974019390197625258946263653453682861384883217562227710235995519998861330683169761145873541826717<128>
prime factors 素因数
9416999777499116296673063487844106547276308673696090296549<58>
9015635772326516611073202774102440536760734559875683535897965981529433<70>
factorization results 素因数分解の結果
Number: n
N=84900240062011880436499951785953974019390197625258946263653453682861384883217562227710235995519998861330683169761145873541826717  ( 128 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Aug 10 18:03:21 2022  p58 factor: 9416999777499116296673063487844106547276308673696090296549
Wed Aug 10 18:03:21 2022  p70 factor: 9015635772326516611073202774102440536760734559875683535897965981529433
Wed Aug 10 18:03:21 2022  elapsed time 00:12:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 29x10^173+16 = 32(172)4
#
n: 84900240062011880436499951785953974019390197625258946263653453682861384883217562227710235995519998861330683169761145873541826717
m: 10000000000000000000000000000000000
deg: 5
c5: 3625
c0: 2
skew: 0.22
# Murphy_E = 1.726e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1572619 hash collisions in 13312560 relations (12502907 unique)
Msieve: matrix is 733540 x 733766 (254.7 MB)

Sieving start time : 2022/08/10 17:12:04
Sieving end time  : 2022/08/10 17:50:42

Total sieving time: 0hrs 38min 38secs.

Total relation processing time: 0hrs 8min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10174+169

c139

name 名前Bob Backstrom
date 日付August 1, 2022 11:43:53 UTC 2022 年 8 月 1 日 (月) 20 時 43 分 53 秒 (日本時間)
composite number 合成数
9381026076571204996811164542868557573894182730546108106291415914620900762942657318199394992358119662511390110080193061038957913501887898141<139>
prime factors 素因数
4809408550030034666648055363850325099627<40>
1950557117155834195874126183473191164760374151272487761153567548976136638915966948005570312509183383<100>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 9381026076571204996811164542868557573894182730546108106291415914620900762942657318199394992358119662511390110080193061038957913501887898141 (139 digits)
Using B1=10070000, B2=35132741290, polynomial Dickson(12), sigma=1:1317698978
Step 1 took 17188ms
Step 2 took 8850ms
********** Factor found in step 2: 4809408550030034666648055363850325099627
Found prime factor of 40 digits: 4809408550030034666648055363850325099627
Prime cofactor 1950557117155834195874126183473191164760374151272487761153567548976136638915966948005570312509183383 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10175+169

c171

name 名前ebina
date 日付July 29, 2022 15:32:32 UTC 2022 年 7 月 30 日 (土) 0 時 32 分 32 秒 (日本時間)
composite number 合成数
255991977741056169936302134090363402680677372427721989181249382088329590554072567546572885329717667330480346877957148708388062652712455686905922065449204129768512633645467<171>
prime factors 素因数
20282943989120586190436047305499353486952545094381<50>
12621046425921491313766885880991861540627999272441637893512454874482441671103420681292048917648301102330614592801032080807<122>
factorization results 素因数分解の結果
Number: 32224_175
N = 255991977741056169936302134090363402680677372427721989181249382088329590554072567546572885329717667330480346877957148708388062652712455686905922065449204129768512633645467 (171 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=20282943989120586190436047305499353486952545094381 (pp50)
r2=12621046425921491313766885880991861540627999272441637893512454874482441671103420681292048917648301102330614592801032080807 (pp122)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 17.82 hours.
Factorization parameters were as follows:
n: 255991977741056169936302134090363402680677372427721989181249382088329590554072567546572885329717667330480346877957148708388062652712455686905922065449204129768512633645467
m: 100000000000000000000000000000000000
deg: 5
c5: 29
c0: 16
skew: 0.89
# Murphy_E = 1.408e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 17863551
Relations: 2253088 relations
Pruned matrix : 1287439 x 1287671
Total sieving time: 16.41 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.09 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 17.82 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 28, 2022 03:53:12 UTC 2022 年 7 月 28 日 (木) 12 時 53 分 12 秒 (日本時間)

29×10176+169

c139

name 名前Eric Jeancolas
date 日付August 13, 2022 19:01:46 UTC 2022 年 8 月 14 日 (日) 4 時 1 分 46 秒 (日本時間)
composite number 合成数
2693850272847390102829485855066189798362702319625093776152418177885449568356297249770993629436621399419874067954110705864968527447072654153<139>
prime factors 素因数
1358667028740059001837449505065941947352423436441<49>
1982715570381872545806055946479329256708640330968898106826935615511969191411592906050307633<91>
factorization results 素因数分解の結果
2693850272847390102829485855066189798362702319625093776152418177885449568356297249770993629436621399419874067954110705864968527447072654153=1358667028740059001837449505065941947352423436441*1982715570381872545806055946479329256708640330968898106826935615511969191411592906050307633

cado polynomial
n: 2693850272847390102829485855066189798362702319625093776152418177885449568356297249770993629436621399419874067954110705864968527447072654153
skew: 0.56
type: snfs
c0: 8
c5: 145
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+8
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6300000
tasks.lim1 = 6300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1358667028740059001837449505065941947352423436441 1982715570381872545806055946479329256708640330968898106826935615511969191411592906050307633
Info:Square Root: Total cpu/real time for sqrt: 207.98/66.3744
Info:Generate Factor Base: Total cpu/real time for makefb: 2.73/1.5463
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22427678
Info:Lattice Sieving: Average J: 1893.59 for 816278 special-q, max bucket fill -bkmult 1.0,1s:1.251230
Info:Lattice Sieving: Total time: 129705s
Info:Linear Algebra: Total cpu/real time for bwc: 13338.7/3425.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8422.04, WCT time 2153.11, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Linear Algebra: Lingen CPU time 167.72, WCT time 42.62
Info:Linear Algebra: Mksol: CPU time 4598.61,  WCT time 1174.68, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.98/32.2862
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.18/177.113
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.1s
Info:Square Root: Total cpu/real time for sqrt: 207.98/66.3744
Info:Quadratic Characters: Total cpu/real time for characters: 31.08/12.4174
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.49/94.9975
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.57/125
Info:Filtering - Merging: Merged matrix has 930677 rows and total weight 158614684 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 215.69/59.5888
Info:Filtering - Merging: Total cpu/real time for replay: 32.24/27.197
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 255644/69155.3
Info:root: Cleaning up computation data in /tmp/cado.6l8mbbax
1358667028740059001837449505065941947352423436441 1982715570381872545806055946479329256708640330968898106826935615511969191411592906050307633
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10177+169

c125

name 名前Eric Jeancolas
date 日付August 9, 2022 13:55:57 UTC 2022 年 8 月 9 日 (火) 22 時 55 分 57 秒 (日本時間)
composite number 合成数
26218796964312441702616691536145753160736193259560597696141484861090569827064415473444145347644599839651062721273191359606857<125>
prime factors 素因数
956188841600615678504430842269950845083201<42>
27420103460340944993440184755430537857430881263041394380989055273146522663527784457<83>
factorization results 素因数分解の結果
26218796964312441702616691536145753160736193259560597696141484861090569827064415473444145347644599839651062721273191359606857=956188841600615678504430842269950845083201*27420103460340944993440184755430537857430881263041394380989055273146522663527784457

cado polynomial
n: 26218796964312441702616691536145753160736193259560597696141484861090569827064415473444145347644599839651062721273191359606857
skew: 320589.311
c0: -2318025615390582420672679903356
c1: 117680847955868784575340671
c2: -971476596791899733846
c3: -3570496074910639
c4: 5972388130
c5: 4200
Y0: -2285338849624692534520474
Y1: 2261962818780977
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.743e-07
# f(x) = 4200*x^5+5972388130*x^4-3570496074910639*x^3-971476596791899733846*x^2+117680847955868784575340671*x-2318025615390582420672679903356
# g(x) = 2261962818780977*x-2285338849624692534520474

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

cado log (extracts)
Info:Square Root: Factors: 956188841600615678504430842269950845083201 27420103460340944993440184755430537857430881263041394380989055273146522663527784457
Info:Square Root: Total cpu/real time for sqrt: 262.12/78.3029
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 124.73/108.976
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.7s
Info:Square Root: Total cpu/real time for sqrt: 262.12/78.3029
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.7/60.0085
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11627404
Info:Lattice Sieving: Average J: 3825.8 for 179400 special-q, max bucket fill -bkmult 1.0,1s:1.177810
Info:Lattice Sieving: Total time: 54914.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.27939
Info:Linear Algebra: Total cpu/real time for bwc: 8654.64/2227.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5427.48, WCT time 1388.81, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 131.76, WCT time 33.55
Info:Linear Algebra: Mksol: CPU time 2976.9,  WCT time 762.25, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.66/32.9967
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.19/56.3857
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2751.38
Info:Polynomial Selection (root optimized): Rootsieve time: 2748.98
Info:Filtering - Merging: Merged matrix has 760805 rows and total weight 129690979 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 150.78/43.9017
Info:Filtering - Merging: Total cpu/real time for replay: 28.31/23.1781
Info:Quadratic Characters: Total cpu/real time for characters: 28.35/11.2409
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20199/37.480/44.317/48.310/0.879
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16005/36.620/39.696/45.080/0.959
Info:Polynomial Selection (size optimized): Total time: 1956.92
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 116473/31694.8
Info:root: Cleaning up computation data in /tmp/cado.fa72nyt6
956188841600615678504430842269950845083201 27420103460340944993440184755430537857430881263041394380989055273146522663527784457
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10178+169

c147

name 名前Bob Backstrom
date 日付August 1, 2022 04:08:51 UTC 2022 年 8 月 1 日 (月) 13 時 8 分 51 秒 (日本時間)
composite number 合成数
239330538303253268601684443389167954479665158722289771350228347853274307229785442717544000670145200660071606595558382669625152519918239529826628199<147>
prime factors 素因数
98962591884428139536466972057269486927726527<44>
2418393998640936591055137786892552595870239668795725778589252754855430800209962812901384748937703522137<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 239330538303253268601684443389167954479665158722289771350228347853274307229785442717544000670145200660071606595558382669625152519918239529826628199 (147 digits)
Using B1=20390000, B2=70272629710, polynomial Dickson(12), sigma=1:2428375916
Step 1 took 39785ms
Step 2 took 16956ms
********** Factor found in step 2: 98962591884428139536466972057269486927726527
Found prime factor of 44 digits: 98962591884428139536466972057269486927726527
Prime cofactor 2418393998640936591055137786892552595870239668795725778589252754855430800209962812901384748937703522137 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10180+169

c165

name 名前Bob Backstrom
date 日付August 5, 2022 10:56:26 UTC 2022 年 8 月 5 日 (金) 19 時 56 分 26 秒 (日本時間)
composite number 合成数
943209271615684035582466261594227057210512324025584543212248174367810882384823655255533805281696224821659875903127108513032514233173322917123705776888994603389707357<165>
prime factors 素因数
14737981257714954301148179284741680305780358689861624289640118457<65>
63998539224762430073195057717350633334672658977535351680795234189018437020957039230605012329669717701<101>
factorization results 素因数分解の結果
Number: n
N=943209271615684035582466261594227057210512324025584543212248174367810882384823655255533805281696224821659875903127108513032514233173322917123705776888994603389707357  ( 165 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Aug  5 20:50:25 2022  p65 factor: 14737981257714954301148179284741680305780358689861624289640118457
Fri Aug  5 20:50:25 2022  p101 factor: 63998539224762430073195057717350633334672658977535351680795234189018437020957039230605012329669717701
Fri Aug  5 20:50:25 2022  elapsed time 00:13:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 29x10^180+16 = 32(179)4
#
n: 943209271615684035582466261594227057210512324025584543212248174367810882384823655255533805281696224821659875903127108513032514233173322917123705776888994603389707357
m: 1000000000000000000000000000000000000
deg: 5
c5: 29
c0: 16
skew: 0.89
# Murphy_E = 8.849e-11
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1511112 hash collisions in 12619727 relations (11821286 unique)
Msieve: matrix is 789311 x 789536 (273.5 MB)

Sieving start time : 2022/08/05 17:31:22
Sieving end time  : 2022/08/05 20:36:49

Total sieving time: 3hrs 5min 27secs.

Total relation processing time: 0hrs 8min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10181+169

c172

name 名前Bob Backstrom
date 日付August 2, 2022 23:51:02 UTC 2022 年 8 月 3 日 (水) 8 時 51 分 2 秒 (日本時間)
composite number 合成数
6296549813051058862781955145152935043315348799468216990968041701795465469530278603305830667276003159394352948488785436766528178456771029615789216777664556953544899998624903<172>
prime factors 素因数
256097310384601006816378900222023244765727<42>
3427900591851688010270473380490068220493226381802544753<55>
7172481010032340048060359558221746942486124722313730206566283772709330950313<76>
factorization results 素因数分解の結果
Number: n
N=6296549813051058862781955145152935043315348799468216990968041701795465469530278603305830667276003159394352948488785436766528178456771029615789216777664556953544899998624903  ( 172 digits)
SNFS difficulty: 182 digits.
Divisors found:

Wed Aug  3 09:28:47 2022  found factor: 7172481010032340048060359558221746942486124722313730206566283772709330950313
Wed Aug  3 09:29:49 2022  p42 factor: 256097310384601006816378900222023244765727
Wed Aug  3 09:29:49 2022  p55 factor: 3427900591851688010270473380490068220493226381802544753
Wed Aug  3 09:29:49 2022  p76 factor: 7172481010032340048060359558221746942486124722313730206566283772709330950313
Wed Aug  3 09:29:49 2022  elapsed time 00:19:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 29x10^181+16 = 32(180)4
#
n: 6296549813051058862781955145152935043315348799468216990968041701795465469530278603305830667276003159394352948488785436766528178456771029615789216777664556953544899998624903
m: 1000000000000000000000000000000000000
deg: 5
c5: 145
c0: 8
skew: 0.56
# Murphy_E = 7.433e-11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 37350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1120122 hash collisions in 11793932 relations (11400938 unique)
Msieve: matrix is 930764 x 930989 (320.9 MB)

Sieving start time : 2022/08/02 21:14:50
Sieving end time  : 2022/08/03 09:09:34

Total sieving time: 11hrs 54min 44secs.

Total relation processing time: 0hrs 12min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10182+169

c166

name 名前Bob Backstrom
date 日付August 3, 2022 03:48:40 UTC 2022 年 8 月 3 日 (水) 12 時 48 分 40 秒 (日本時間)
composite number 合成数
2543218969503985814725798970146150931976564679867905879996099808965195901286697004977297693913112079287452508480113289718351108410316259368350501754950076633950755687<166>
prime factors 素因数
32030163441393952861561826372397671007817<41>
79400749051978765468785903188764926605345627332664860308620563074429443392986667151926086480797256499741613098860062395864111<125>
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 2543218969503985814725798970146150931976564679867905879996099808965195901286697004977297693913112079287452508480113289718351108410316259368350501754950076633950755687 (166 digits)
Using B1=12370000, B2=35135015380, polynomial Dickson(12), sigma=1:487941760
Step 1 took 28812ms
Step 2 took 11479ms
********** Factor found in step 2: 32030163441393952861561826372397671007817
Found prime factor of 41 digits: 32030163441393952861561826372397671007817
Prime cofactor 79400749051978765468785903188764926605345627332664860308620563074429443392986667151926086480797256499741613098860062395864111 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10184+169

c98

name 名前Ignacio Santos
date 日付July 28, 2022 08:06:52 UTC 2022 年 7 月 28 日 (木) 17 時 6 分 52 秒 (日本時間)
composite number 合成数
41909522754837398783774613145738647903168877162261077423211077652554723089508564892514220962544431<98>
prime factors 素因数
17137278901587572640010266355339267156891<41>
2445517925891663082753140854552233154694375340032789010941<58>
factorization results 素因数分解の結果
prp58 = 2445517925891663082753140854552233154694375340032789010941
prp41 = 17137278901587572640010266355339267156891
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10185+169

c151

name 名前Eric Jeancolas
date 日付August 27, 2022 19:16:27 UTC 2022 年 8 月 28 日 (日) 4 時 16 分 27 秒 (日本時間)
composite number 合成数
5094034028502309415260874851399832875271364220114658171912586275077515089380429511663554766880654230304980390277242792076269667394586564973989385544313<151>
prime factors 素因数
28054826943506175448585440769036521743749525583621821291<56>
181574245271950276888535023046811671135826170155764427644378168723159797041508495618782196956843<96>
factorization results 素因数分解の結果
5094034028502309415260874851399832875271364220114658171912586275077515089380429511663554766880654230304980390277242792076269667394586564973989385544313=28054826943506175448585440769036521743749525583621821291*181574245271950276888535023046811671135826170155764427644378168723159797041508495618782196956843

cado polynomial
n: 5094034028502309415260874851399832875271364220114658171912586275077515089380429511663554766880654230304980390277242792076269667394586564973989385544313
skew: 0.89
type: snfs
c0: 16
c5: 29
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^5+16
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9000000
tasks.lim1 = 9000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 181574245271950276888535023046811671135826170155764427644378168723159797041508495618782196956843 28054826943506175448585440769036521743749525583621821291
Info:Square Root: Total cpu/real time for sqrt: 417.1/132.392
Info:Generate Free Relations: Total cpu/real time for freerel: 118.19/30.7694
Info:Generate Factor Base: Total cpu/real time for makefb: 3.83/2.05938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23532689
Info:Lattice Sieving: Average J: 1894.1 for 1346066 special-q, max bucket fill -bkmult 1.0,1s:1.160380
Info:Lattice Sieving: Total time: 244206s
Info:Linear Algebra: Total cpu/real time for bwc: 44534.8/11429.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28504.8, WCT time 7275.84, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51456 iterations)
Info:Linear Algebra: Lingen CPU time 321.99, WCT time 81.74
Info:Linear Algebra: Mksol: CPU time 15410.49,  WCT time 3960.73, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 354.28/344.17
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 285.29999999999995s
Info:Quadratic Characters: Total cpu/real time for characters: 58.78/25.1369
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.3/105.41
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.9s
Info:Square Root: Total cpu/real time for sqrt: 417.1/132.392
Info:Filtering - Singleton removal: Total cpu/real time for purge: 241.51/281.388
Info:Filtering - Merging: Merged matrix has 1638212 rows and total weight 278719197 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 420.18/115.989
Info:Filtering - Merging: Total cpu/real time for replay: 62.5/53.6593
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 503328/134501
Info:root: Cleaning up computation data in /tmp/cado.3i1zil29
181574245271950276888535023046811671135826170155764427644378168723159797041508495618782196956843 28054826943506175448585440769036521743749525583621821291
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 18, 2022 07:59:58 UTC 2022 年 8 月 18 日 (木) 16 時 59 分 58 秒 (日本時間)

29×10186+169

c164

name 名前Bob Backstrom
date 日付August 13, 2022 11:25:38 UTC 2022 年 8 月 13 日 (土) 20 時 25 分 38 秒 (日本時間)
composite number 合成数
18128543411995502575946306143939171751243999963657167208766519654248827872273981832051410033311118806267283952867195105942751366532303481560356259155118011370910991<164>
prime factors 素因数
185379868140336752499166493565839497803983278889459<51>
97791327579712082008966245301943792486144016099819371149443136983553202308424258252689319075741615573780257522549<113>
factorization results 素因数分解の結果
Number: n
N=18128543411995502575946306143939171751243999963657167208766519654248827872273981832051410033311118806267283952867195105942751366532303481560356259155118011370910991  ( 164 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Aug 13 21:20:18 2022  p51 factor: 185379868140336752499166493565839497803983278889459
Sat Aug 13 21:20:18 2022  p113 factor: 97791327579712082008966245301943792486144016099819371149443136983553202308424258252689319075741615573780257522549
Sat Aug 13 21:20:18 2022  elapsed time 00:29:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 29x10^186+16 = 32(185)4
#
n: 18128543411995502575946306143939171751243999963657167208766519654248827872273981832051410033311118806267283952867195105942751366532303481560356259155118011370910991
m: 10000000000000000000000000000000000000
deg: 5
c5: 145
c0: 8
skew: 0.56
# Murphy_E = 4.651e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3260368 hash collisions in 29075794 relations (27541413 unique)
Msieve: matrix is 1098261 x 1098489 (379.9 MB)

Sieving start time : 2022/08/13 17:00:19
Sieving end time  : 2022/08/13 20:49:40

Total sieving time: 3hrs 49min 21secs.

Total relation processing time: 0hrs 19min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10188+169

c169

name 名前Bob Backstrom
date 日付August 12, 2022 06:21:06 UTC 2022 年 8 月 12 日 (金) 15 時 21 分 6 秒 (日本時間)
composite number 合成数
3163724057324717984775655371320109163636267045255444758142778695473447064554994924530263716510272741438142259505277493765505443753923543840933219618422457628613464760077<169>
prime factors 素因数
536491206924131701521087950343771359377113701868515865338556618998157676322407<78>
5897066003119261465267877906186966976774789830202220490316289207681540135669095275509384811<91>
factorization results 素因数分解の結果
Number: n
N=3163724057324717984775655371320109163636267045255444758142778695473447064554994924530263716510272741438142259505277493765505443753923543840933219618422457628613464760077  ( 169 digits)
SNFS difficulty: 188 digits.
Divisors found:

Fri Aug 12 16:16:32 2022  p78 factor: 536491206924131701521087950343771359377113701868515865338556618998157676322407
Fri Aug 12 16:16:32 2022  p91 factor: 5897066003119261465267877906186966976774789830202220490316289207681540135669095275509384811
Fri Aug 12 16:16:32 2022  elapsed time 00:32:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 29x10^188+16 = 32(187)4
#
n: 3163724057324717984775655371320109163636267045255444758142778695473447064554994924530263716510272741438142259505277493765505443753923543840933219618422457628613464760077
m: 10000000000000000000000000000000000000
deg: 5
c5: 3625
c0: 2
skew: 0.22
# Murphy_E = 4.272e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3201812 hash collisions in 28492440 relations (26968193 unique)
Msieve: matrix is 1180658 x 1180883 (410.9 MB)

Sieving start time : 2022/08/12 12:17:14
Sieving end time  : 2022/08/12 15:43:41

Total sieving time: 3hrs 26min 27secs.

Total relation processing time: 0hrs 23min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10193+169

c184

name 名前Bob Backstrom
date 日付August 11, 2022 02:01:29 UTC 2022 年 8 月 11 日 (木) 11 時 1 分 29 秒 (日本時間)
composite number 合成数
4629500141978532036987574393267232198792473978983877223114287947925118353962933843385784859872411083363764602218330341295692745276453127088946201564263118389718255602006848900134071167<184>
prime factors 素因数
369875098873636557242018337890216636812829<42>
13722200529542187018589893370897353648623857312808326478821<59>
912126862131083872855357587745528503768026350732665462809356550755492283714407121263<84>
factorization results 素因数分解の結果
Number: n
N=4629500141978532036987574393267232198792473978983877223114287947925118353962933843385784859872411083363764602218330341295692745276453127088946201564263118389718255602006848900134071167  ( 184 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Aug 11 11:46:31 2022  found factor: 369875098873636557242018337890216636812829
Thu Aug 11 11:48:36 2022  found factor: 369875098873636557242018337890216636812829
Thu Aug 11 11:52:47 2022  found factor: 369875098873636557242018337890216636812829
Thu Aug 11 11:54:53 2022  found factor: 369875098873636557242018337890216636812829
Thu Aug 11 11:56:58 2022  p42 factor: 369875098873636557242018337890216636812829
Thu Aug 11 11:56:58 2022  p59 factor: 13722200529542187018589893370897353648623857312808326478821
Thu Aug 11 11:56:58 2022  p84 factor: 912126862131083872855357587745528503768026350732665462809356550755492283714407121263
Thu Aug 11 11:56:58 2022  elapsed time 01:01:26 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 29x10^193+16 = 32(192)4
#
n: 4629500141978532036987574393267232198792473978983877223114287947925118353962933843385784859872411083363764602218330341295692745276453127088946201564263118389718255602006848900134071167
m: 100000000000000000000000000000000000000
deg: 5
c5: 3625
c0: 2
skew: 0.22
# Murphy_E = 2.659e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3328039 hash collisions in 28836464 relations (27186396 unique)
Msieve: matrix is 1428000 x 1428225 (499.7 MB)

Sieving start time : 2022/08/11 05:33:02
Sieving end time  : 2022/08/11 10:55:00

Total sieving time: 5hrs 21min 58secs.

Total relation processing time: 0hrs 38min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 39sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10194+169

c140

composite cofactor 合成数の残り
18268321680989195260861857715610605115444692900009356277047908851838904113434703372899919524805248458819781564159055816432708219620954068647<140>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 13, 2022 08:07:58 UTC 2022 年 8 月 13 日 (土) 17 時 7 分 58 秒 (日本時間)

29×10195+169

c157

name 名前Bob Backstrom
date 日付August 17, 2022 22:10:35 UTC 2022 年 8 月 18 日 (木) 7 時 10 分 35 秒 (日本時間)
composite number 合成数
8092540117811731621906178171329160049081198210788821090006117658851715749690712366548555577474738719479411046991664519696260310543876924095107985566459511627<157>
prime factors 素因数
58279039705372889728925335839006256787249<41>
138858501422178722101369662342838864011408866578069800383140113400122930719694237351507486509447079577850738795320123<117>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8092540117811731621906178171329160049081198210788821090006117658851715749690712366548555577474738719479411046991664519696260310543876924095107985566459511627 (157 digits)
Using B1=23020000, B2=96188942866, polynomial Dickson(12), sigma=1:89827396
Step 1 took 52957ms
Step 2 took 18825ms
********** Factor found in step 2: 58279039705372889728925335839006256787249
Found prime factor of 41 digits: 58279039705372889728925335839006256787249
Prime cofactor 138858501422178722101369662342838864011408866578069800383140113400122930719694237351507486509447079577850738795320123 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 14, 2022 15:11:44 UTC 2022 年 8 月 15 日 (月) 0 時 11 分 44 秒 (日本時間)

29×10196+169

c178

name 名前Bob Backstrom
date 日付August 17, 2022 15:02:32 UTC 2022 年 8 月 18 日 (木) 0 時 2 分 32 秒 (日本時間)
composite number 合成数
4959642353693425485502370769827285601695111059145857749854797408780410654920958454458673091856055511124980501227281585450983902663936418749316783627710769936845631001807785719307<178>
prime factors 素因数
741787267933031467490614600666954883623489043808874742605699145616914906782240939<81>
6686071018060641409978237005189279707359474046786154255902299826265893791518397855348521683578913<97>
factorization results 素因数分解の結果
Number: n
N=4959642353693425485502370769827285601695111059145857749854797408780410654920958454458673091856055511124980501227281585450983902663936418749316783627710769936845631001807785719307  ( 178 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Aug 18 00:53:23 2022  p81 factor: 741787267933031467490614600666954883623489043808874742605699145616914906782240939
Thu Aug 18 00:53:23 2022  p97 factor: 6686071018060641409978237005189279707359474046786154255902299826265893791518397855348521683578913
Thu Aug 18 00:53:23 2022  elapsed time 01:18:24 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 29x10^196+16 = 32(195)4
#
n: 4959642353693425485502370769827285601695111059145857749854797408780410654920958454458673091856055511124980501227281585450983902663936418749316783627710769936845631001807785719307
m: 1000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 8
skew: 0.56
# Murphy_E = 1.797e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3441236 hash collisions in 27773487 relations (25863051 unique)
Msieve: matrix is 1766998 x 1767223 (615.0 MB)

Sieving start time : 2022/08/17 17:09:38
Sieving end time  : 2022/08/17 23:34:29

Total sieving time: 6hrs 24min 51secs.

Total relation processing time: 1hrs 1min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 17sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10197+169

c165

name 名前Bob Backstrom
date 日付August 19, 2022 22:12:36 UTC 2022 年 8 月 20 日 (土) 7 時 12 分 36 秒 (日本時間)
composite number 合成数
507072262221788497040404653303283350819454833521224966433719015541969893193081694719753980936142948528650971871026008344031508626433417721452129764036593522449136303<165>
prime factors 素因数
360913005102759306807631059767996221322245260381792246519673<60>
1404970879554242339847252111924304479834843775761455412313660248393085098641097204042224224527631744766311<106>
factorization results 素因数分解の結果
Number: n
N=507072262221788497040404653303283350819454833521224966433719015541969893193081694719753980936142948528650971871026008344031508626433417721452129764036593522449136303  ( 165 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Aug 20 06:36:23 2022  p60 factor: 360913005102759306807631059767996221322245260381792246519673
Sat Aug 20 06:36:23 2022  p106 factor: 1404970879554242339847252111924304479834843775761455412313660248393085098641097204042224224527631744766311
Sat Aug 20 06:36:23 2022  elapsed time 00:58:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 29x10^197+16 = 32(196)4
#
n: 507072262221788497040404653303283350819454833521224966433719015541969893193081694719753980936142948528650971871026008344031508626433417721452129764036593522449136303
m: 500000000000000000000000000000000
deg: 6
c6: 58
c0: 5
skew: 0.66
# Murphy_E = 1.784e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24464059)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2134789 hash collisions in 14044155 relations (12829757 unique)
Msieve: matrix is 1587708 x 1587934 (552.7 MB)

Sieving start time : 2022/08/19 22:18:40
Sieving end time  : 2022/08/20 05:37:47

Total sieving time: 7hrs 19min 7secs.

Total relation processing time: 0hrs 48min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 7sec.

Prototype def-par.txt line would be:
snfs,197,6,0,0,0,0,0,0,0,0,8900000,8900000,27,27,55,55,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 18, 2022 07:43:59 UTC 2022 年 8 月 18 日 (木) 16 時 43 分 59 秒 (日本時間)

29×10198+169

c170

name 名前Bob Backstrom
date 日付August 23, 2022 20:22:02 UTC 2022 年 8 月 24 日 (水) 5 時 22 分 2 秒 (日本時間)
composite number 合成数
13618394609772258406951629056040682063126213823982755600493582759745827737284230003391916130037802735820874098810211624652736271024606488072050681585940327623064003288071<170>
prime factors 素因数
6613715730600434950583618196083226249511853006891966789<55>
2059113993479108059280159609765718982240521352493694176275841024926846985216095416944137363948006661994925521579739<115>
factorization results 素因数分解の結果
Number: n
N=13618394609772258406951629056040682063126213823982755600493582759745827737284230003391916130037802735820874098810211624652736271024606488072050681585940327623064003288071  ( 170 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Aug 24 06:13:37 2022  p55 factor: 6613715730600434950583618196083226249511853006891966789
Wed Aug 24 06:13:37 2022  p115 factor: 2059113993479108059280159609765718982240521352493694176275841024926846985216095416944137363948006661994925521579739
Wed Aug 24 06:13:37 2022  elapsed time 01:18:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 29x10^198+16 = 32(197)4
#
n: 13618394609772258406951629056040682063126213823982755600493582759745827737284230003391916130037802735820874098810211624652736271024606488072050681585940327623064003288071
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3625
c0: 2
skew: 0.22
# Murphy_E = 1.648e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3433544 hash collisions in 27611761 relations (25693482 unique)
Msieve: matrix is 1846215 x 1846440 (647.7 MB)

Sieving start time : 2022/08/23 22:08:44
Sieving end time  : 2022/08/24 04:55:04

Total sieving time: 6hrs 46min 20secs.

Total relation processing time: 1hrs 7min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 45sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 19, 2022 15:34:19 UTC 2022 年 8 月 20 日 (土) 0 時 34 分 19 秒 (日本時間)

29×10199+169

c182

name 名前Bob Backstrom
date 日付September 1, 2022 05:22:26 UTC 2022 年 9 月 1 日 (木) 14 時 22 分 26 秒 (日本時間)
composite number 合成数
11388965595592961336342369674280172191462489209131763994795538382686343549510224734903489785728362441667254267491526094151705854980270119756398787714923924106578937002299163482368627<182>
prime factors 素因数
1408947206945570529019378975014136799181894354378523<52>
8083316067095856738969745715091551609447243578744328662636624329115563893996406420477976387154365849468502521754663223873249927049<130>
factorization results 素因数分解の結果
Number: n
N=11388965595592961336342369674280172191462489209131763994795538382686343549510224734903489785728362441667254267491526094151705854980270119756398787714923924106578937002299163482368627  ( 182 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Sep  1 15:17:29 2022  p52 factor: 1408947206945570529019378975014136799181894354378523
Thu Sep  1 15:17:29 2022  p130 factor: 8083316067095856738969745715091551609447243578744328662636624329115563893996406420477976387154365849468502521754663223873249927049
Thu Sep  1 15:17:29 2022  elapsed time 01:08:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 29x10^199+16 = 32(198)4
#
n: 11388965595592961336342369674280172191462489209131763994795538382686343549510224734903489785728362441667254267491526094151705854980270119756398787714923924106578937002299163482368627
m: 5000000000000000000000000000000000000000
deg: 5
c5: 29
c0: 5
skew: 0.70
# Murphy_E = 1.817e-11
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3413851 hash collisions in 28554302 relations (26760567 unique)
Msieve: matrix is 1734071 x 1734297 (606.6 MB)

Sieving start time : 2022/09/01 07:47:31
Sieving end time  : 2022/09/01 14:08:24

Total sieving time: 6hrs 20min 53secs.

Total relation processing time: 0hrs 57min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15100000,15100000,28,28,55,55,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 30, 2022 11:19:12 UTC 2022 年 8 月 30 日 (火) 20 時 19 分 12 秒 (日本時間)

29×10201+169

c172

composite cofactor 合成数の残り
6576313248054075288039019562336431285135072325040533410513753402142760022210311274483996522997290153004248007141691250006596911947684250129363396942028098021781978946336007<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10202+169

c189

composite cofactor 合成数の残り
160123171059475579645330809906966871614337261299188077522199976107241006664594124528484249223103031845429380864561342129393638183466221900616397046878410579334525560840252082948903602904719<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10205+169

c123

name 名前Ignacio Santos
date 日付August 1, 2022 15:09:43 UTC 2022 年 8 月 2 日 (火) 0 時 9 分 43 秒 (日本時間)
composite number 合成数
198067994565578823995350969654259993800357600259791332767446415223717825652805444369457821732102511851495734096517154497131<123>
prime factors 素因数
250933820752263034456398911506684315003869185846090161<54>
789323631114370450683416876035693983604531129338911681018824388503771<69>
factorization results 素因数分解の結果
08/01/22 15:30:53, nfs: commencing nfs on c123: 198067994565578823995350969654259993800357600259791332767446415223717825652805444369457821732102511851495734096517154497131
08/01/22 15:30:54, nfs: commencing poly selection with 46 threads
08/01/22 15:30:54, nfs: setting deadline of 460 seconds
08/01/22 15:30:54, nfs: expecting degree 5 poly E from 1.92e-10 to > 2.21e-10
08/01/22 15:30:54, nfs: searching for avg quality poly E > 1.99e-10
08/01/22 15:34:15, nfs: completed 57 ranges of size 250 in 200.9271 seconds
08/01/22 15:34:15, nfs: best poly = # norm 1.111674e-11 alpha -6.499351 e 2.070e-10 rroots 5
08/01/22 15:34:15, nfs: commencing lattice sieving with 46 threads
08/01/22 15:35:22, nfs: commencing lattice sieving with 46 threads
08/01/22 15:36:32, nfs: commencing lattice sieving with 46 threads
08/01/22 15:37:39, nfs: commencing lattice sieving with 46 threads
08/01/22 15:38:52, nfs: commencing lattice sieving with 46 threads
08/01/22 15:40:00, nfs: commencing lattice sieving with 46 threads
08/01/22 15:41:27, nfs: commencing lattice sieving with 46 threads
08/01/22 15:42:37, nfs: commencing lattice sieving with 46 threads
08/01/22 15:43:45, nfs: commencing lattice sieving with 46 threads
08/01/22 15:44:51, nfs: commencing lattice sieving with 46 threads
08/01/22 15:46:03, nfs: commencing lattice sieving with 46 threads
08/01/22 15:47:14, nfs: commencing lattice sieving with 46 threads
08/01/22 15:48:23, nfs: commencing lattice sieving with 46 threads
08/01/22 15:49:33, nfs: commencing lattice sieving with 46 threads
08/01/22 15:50:39, nfs: commencing lattice sieving with 46 threads
08/01/22 15:51:58, nfs: commencing lattice sieving with 46 threads
08/01/22 15:53:09, nfs: commencing lattice sieving with 46 threads
08/01/22 15:54:19, nfs: commencing lattice sieving with 46 threads
08/01/22 15:55:28, nfs: commencing lattice sieving with 46 threads
08/01/22 15:56:41, nfs: commencing lattice sieving with 46 threads
08/01/22 15:57:56, nfs: commencing lattice sieving with 46 threads
08/01/22 15:59:09, nfs: commencing lattice sieving with 46 threads
08/01/22 16:00:20, nfs: commencing lattice sieving with 46 threads
08/01/22 16:01:26, nfs: commencing lattice sieving with 46 threads
08/01/22 16:02:33, nfs: commencing lattice sieving with 46 threads
08/01/22 16:03:43, nfs: commencing lattice sieving with 46 threads
08/01/22 16:05:05, nfs: commencing lattice sieving with 46 threads
08/01/22 16:06:23, nfs: commencing lattice sieving with 46 threads
08/01/22 16:07:36, nfs: commencing lattice sieving with 46 threads
08/01/22 16:08:50, nfs: commencing lattice sieving with 46 threads
08/01/22 16:10:02, nfs: commencing lattice sieving with 46 threads
08/01/22 16:11:15, nfs: commencing lattice sieving with 46 threads
08/01/22 16:12:28, nfs: commencing lattice sieving with 46 threads
08/01/22 16:13:36, nfs: commencing lattice sieving with 46 threads
08/01/22 16:14:45, nfs: commencing lattice sieving with 46 threads
08/01/22 16:15:55, nfs: commencing lattice sieving with 46 threads
08/01/22 16:17:08, nfs: commencing lattice sieving with 46 threads
08/01/22 16:18:17, nfs: commencing lattice sieving with 46 threads
08/01/22 16:19:28, nfs: commencing lattice sieving with 46 threads
08/01/22 16:20:39, nfs: commencing lattice sieving with 46 threads
08/01/22 16:21:53, nfs: commencing lattice sieving with 46 threads
08/01/22 16:23:06, nfs: commencing lattice sieving with 46 threads
08/01/22 16:24:25, nfs: commencing lattice sieving with 46 threads
08/01/22 16:25:38, nfs: commencing lattice sieving with 46 threads
08/01/22 16:26:54, nfs: commencing lattice sieving with 46 threads
08/01/22 16:28:20, nfs: commencing lattice sieving with 46 threads
08/01/22 16:29:34, nfs: commencing lattice sieving with 46 threads
08/01/22 16:30:47, nfs: commencing lattice sieving with 46 threads
08/01/22 16:32:00, nfs: commencing lattice sieving with 46 threads
08/01/22 16:33:14, nfs: commencing lattice sieving with 46 threads
08/01/22 16:34:32, nfs: commencing lattice sieving with 46 threads
08/01/22 16:35:49, nfs: commencing lattice sieving with 46 threads
08/01/22 16:37:05, nfs: commencing lattice sieving with 46 threads
08/01/22 16:38:27, nfs: commencing lattice sieving with 46 threads
08/01/22 16:39:49, nfs: commencing msieve filtering
08/01/22 16:41:46, nfs: raising min_rels by 5.00 percent to 10669912
08/01/22 16:41:46, nfs: commencing lattice sieving with 46 threads
08/01/22 16:43:01, nfs: commencing lattice sieving with 46 threads
08/01/22 16:44:23, nfs: commencing lattice sieving with 46 threads
08/01/22 16:45:47, nfs: commencing msieve filtering
08/01/22 16:47:45, nfs: raising min_rels by 5.00 percent to 11244202
08/01/22 16:47:45, nfs: commencing lattice sieving with 46 threads
08/01/22 16:49:09, nfs: commencing lattice sieving with 46 threads
08/01/22 16:50:20, nfs: commencing lattice sieving with 46 threads
08/01/22 16:51:42, nfs: commencing msieve filtering
08/01/22 16:54:29, nfs: commencing msieve linear algebra
08/01/22 17:02:55, nfs: commencing msieve sqrt
08/01/22 17:08:14, prp54 = 250933820752263034456398911506684315003869185846090161
08/01/22 17:08:14, prp69 = 789323631114370450683416876035693983604531129338911681018824388503771
08/01/22 17:08:14, NFS elapsed time = 5841.1156 seconds.
08/01/22 17:08:14, 
08/01/22 17:08:14, 
software ソフトウェア
Yafu 2.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 28, 2022 09:44:22 UTC 2022 年 7 月 28 日 (木) 18 時 44 分 22 秒 (日本時間)

29×10206+169

c173

composite cofactor 合成数の残り
38768278552368128386094340421700361297969871491019301630922564697333809874589351526467157376226572961445770308255744046707590620405644402536771918644959663628402080758953701<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10208+169

c204

composite cofactor 合成数の残り
146774206609495582602499008008810501340200341730842423211784045542517957065001741045761160913117767574439828648705552721295014130813270817643676764732081399962749718598417672829158872450177748625383637409<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10209+169

c193

composite cofactor 合成数の残り
6943715974027465743579258623345767397621100458891192026199161229121603759439179431041942333470566170254113949127814795651542208445010104711243277303375495995141671822961980060303260150341979061<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10210+169

c175

composite cofactor 合成数の残り
1942418284038301618960514531883255419310476417015147666938792980957650412659944589281189923710161752865283002400735707770447999316576818928793772670645257525427452235915478029<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10211+169

c145

composite cofactor 合成数の残り
2045617183379621340739851731682683476058770311491715932906355206610919291197178161669143133925518394853595837934593769322658266511700847582090023<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 29, 2022 08:04:16 UTC 2022 年 7 月 29 日 (金) 17 時 4 分 16 秒 (日本時間)
4511e64480Ignacio SantosJuly 30, 2022 11:41:05 UTC 2022 年 7 月 30 日 (土) 20 時 41 分 5 秒 (日本時間)
5043e66454Ignacio SantosDecember 7, 2022 13:37:34 UTC 2022 年 12 月 7 日 (水) 22 時 37 分 34 秒 (日本時間)

29×10214+169

c182

composite cofactor 合成数の残り
15512878257422673872146092955839882156556051817369069926705927491333762013905813987228299354015481819737043904914272404680007333437219130729679120094628233554744974422564145279750273<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10215+169

c165

composite cofactor 合成数の残り
598927099567995156318481169070554551706084853432533933555066016959914880753829213217988549411198876049393049205280613646199205821420160953850835336048622750289362793<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10216+169

c143

name 名前Ignacio Santos
date 日付July 30, 2022 09:56:46 UTC 2022 年 7 月 30 日 (土) 18 時 56 分 46 秒 (日本時間)
composite number 合成数
89402485522033232808383905292432706273932035169032016933367455974917022313429681941046572303609713231047189738039854560761153851794608590780433<143>
prime factors 素因数
11220562919090961397162564994039625372297362569<47>
7967736214902506210887689788855258435006376130947143473945148657826089607708833773638448655306057<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2382059367
Step 1 took 21625ms
Step 2 took 10672ms
********** Factor found in step 2: 11220562919090961397162564994039625372297362569
Found prime factor of 47 digits: 11220562919090961397162564994039625372297362569
Prime cofactor 7967736214902506210887689788855258435006376130947143473945148657826089607708833773638448655306057 has 97 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 28, 2022 10:37:38 UTC 2022 年 7 月 28 日 (木) 19 時 37 分 38 秒 (日本時間)

29×10220+169

c187

name 名前Erik Branger
date 日付September 23, 2022 20:01:24 UTC 2022 年 9 月 24 日 (土) 5 時 1 分 24 秒 (日本時間)
composite number 合成数
1355201607847292492246303694528188107341518817236741042511521730323503825337249557027574155365818803341779939948884001785157745648285270950416034056677126618561019825159740415309696591111<187>
prime factors 素因数
6847413183291659046535243798844661813739057920395119724957<58>
197914390671518641694247650574612313049503084091021294374403538129266490980110454045429582113253364914018585102757995069574990323<129>
factorization results 素因数分解の結果
Number: 32224_220
N = 1355201607847292492246303694528188107341518817236741042511521730323503825337249557027574155365818803341779939948884001785157745648285270950416034056677126618561019825159740415309696591111 (187 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6847413183291659046535243798844661813739057920395119724957 (pp58)
r2=197914390671518641694247650574612313049503084091021294374403538129266490980110454045429582113253364914018585102757995069574990323 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 24.46 hours.
Factorization parameters were as follows:
n: 1355201607847292492246303694528188107341518817236741042511521730323503825337249557027574155365818803341779939948884001785157745648285270950416034056677126618561019825159740415309696591111
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 16
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31743257
Relations: 6763300 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.06 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6110337 x 6110562
Matrix solve time: 12.67 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 24.46 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10221+169

c171

composite cofactor 合成数の残り
108184986547009059357090381048972926148547128086043836050035758632627198643854168241255694118096002497512340217200950730147633734541062816951657154313121045513539968128301<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10225+169

c212

composite cofactor 合成数の残り
13270497732431456496241274350460077559079719995722035282157829247687720708587110254759100373259320388311357192891055134466944550925972163658870425881779870125965771563847133583684672840757511724749568464293346607<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10227+169

c197

composite cofactor 合成数の残り
47159729715616818524886664483169799478895378907874458882987957511635309167500377458447116101145219349399030436927593296980797882799589955404567018638605610021530991911254036264783961472959590197347<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10228+169

c209

composite cofactor 合成数の残り
15083514426675738564984078363163531061115387361488824146244143726344296175666038836705485909923023918990169837255335576472885573452254260182491008690592203575897233682823212708555611722660290464662431239706891<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10229+169

c206

composite cofactor 合成数の残り
14558419243688960740835017086538742054681805659764578631165470118161176285486978598083281031738550888924542056539755728860382362182372361280319949423839727331969626866482466870450067312490535294262472432709<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10230+169

c206

composite cofactor 合成数の残り
20598510188575033931888319325211771132014728759867627192897382599444854339618354760343800165724921763909456514389935628590805326545504232011037359295568245509913466364287835685914099113874966724024864554593<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10232+169

c192

composite cofactor 合成数の残り
974294604386777377961160504417707244176616452716595421569763303451614453888282143057805626389913852876930843742105529821967018427204030120972250236387668161382766162737898522552386376974306457<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10233+169

c172

composite cofactor 合成数の残り
1302695646815823490652299560051464810562941248951011827494414862485733033978134883508647630390466860359203082388601026765574992518326228930587734412336994614733203445426361<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10234+169

c231

composite cofactor 合成数の残り
608425646189996643168848606915072171869754951325948304800268546492111446794226250419603893924135615978516280631084256461899966431688486069150721718697549513259483048002685464921114467942262504196038939241356159785162806310842564619<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10237+169

c146

name 名前Ignacio Santos
date 日付July 30, 2022 11:41:26 UTC 2022 年 7 月 30 日 (土) 20 時 41 分 26 秒 (日本時間)
composite number 合成数
60125374986668656214588213171496257594516185918360560967398255840100280589824118542586681891107248347608421870818239926287854776577425631774963183<146>
prime factors 素因数
32762288832729122684105985715288844779<38>
composite cofactor 合成数の残り
1835200687401429284961043255607436578403764463438353747380137144341086804911821486733467071401854834025348877<109>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2195210340
Step 1 took 12922ms
********** Factor found in step 2: 32762288832729122684105985715288844779
Found prime factor of 38 digits: 32762288832729122684105985715288844779
Composite cofactor 1835200687401429284961043255607436578403764463438353747380137144341086804911821486733467071401854834025348877 has 109 digits
 
software ソフトウェア
GMP-ECM

c109

name 名前Ignacio Santos
date 日付August 1, 2022 10:36:43 UTC 2022 年 8 月 1 日 (月) 19 時 36 分 43 秒 (日本時間)
composite number 合成数
1835200687401429284961043255607436578403764463438353747380137144341086804911821486733467071401854834025348877<109>
prime factors 素因数
12533223893348487693010198090152322151128438139<47>
146426865347501641767836684315148296581650110027508005212005143<63>
factorization results 素因数分解の結果
prp47 = 12533223893348487693010198090152322151128438139
prp63 = 146426865347501641767836684315148296581650110027508005212005143
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 29, 2022 08:27:25 UTC 2022 年 7 月 29 日 (金) 17 時 27 分 25 秒 (日本時間)

29×10239+169

c220

composite cofactor 合成数の残り
1082074165527904016456373119153542984218055321955223992909503064000527086067390809117212415016758698421282369556534642098529990101124221689862417203379862627148882047460525565727786978724374262715207594967541324875481597<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10240+169

c221

composite cofactor 合成数の残り
85796170402656951183209043299130914681199256884409758580630856118414163244268450580520053873285924690312961799194252999352769370452705412711944436807231963311934259496596169243325645770503509617699819340306353248735076157<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10241+169

c220

composite cofactor 合成数の残り
2581270614114440246639532964034726222084045813083729563652381317351290145849331936148769839528895892939722246516293172516526915710876949713227471714896599456814763757051371512316129818976520374387101809257188330151831431<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10242+169

c215

composite cofactor 合成数の残り
88916911298778095691296565521663001658373728900619062669070968036724090023221226908217297437260439386942441392907203209677282098035708490059414349034575566774260322077009301745381012951199933238802665892852147664413<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10243+169

c228

composite cofactor 合成数の残り
270810170099737187784939203333667115877873718824983023255547391997502632494601740726088080265855526166152403099715322404458411382190771392070318140713426739465995327955484157630890169808677993956876175565469894515032755457423401<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10244+169

c218

composite cofactor 合成数の残り
21719422244046438690734632154590796837880920379665783022489498388139674792669793506224271668461916456107720469145959006254377155386690788652811776028808450354683853495827737446256640296611415436792575486879467950784453<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10245+169

c228

composite cofactor 合成数の残り
383333787105836868146906286231417079990591951135282340962084734207732390480323008198543634227071741657758837596425139600983833185271463160001659743009942690627534881409677783370650030224709146061143101078305675314418832566445673<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10247+169

c218

composite cofactor 合成数の残り
19319997542954904397409359156113952364365742028091690125768986271440767700658780792311669734019398999639107326707695398673583974568164274880101704371475060004966304494237330971172861008480762667766412854229661578235403<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10249+169

c147

name 名前Ignacio Santos
date 日付July 30, 2022 13:38:58 UTC 2022 年 7 月 30 日 (土) 22 時 38 分 58 秒 (日本時間)
composite number 合成数
797595384090028231382572277842710550341741078835023547536328064568754076375666242990350345705106582950347753504796621032229388631623858890057991331<147>
prime factors 素因数
7127418674957096755143841009798054712441<40>
111905224102024472220709663633430168972944131449908788057437916712237327242895054624470174727300235211031291<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1438590664
Step 1 took 21563ms
Step 2 took 10750ms
********** Factor found in step 2: 7127418674957096755143841009798054712441
Found prime factor of 40 digits: 7127418674957096755143841009798054712441
Prime cofactor 111905224102024472220709663633430168972944131449908788057437916712237327242895054624470174727300235211031291 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 29, 2022 09:32:35 UTC 2022 年 7 月 29 日 (金) 18 時 32 分 35 秒 (日本時間)

29×10250+169

c197

composite cofactor 合成数の残り
66125418252340878570622352090608536208532001308107278371794286817002676131821132317736521742858168063158913747561098694378327195576510670935883787416230125333150342522791140098958835479365646558231<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10252+169

c226

composite cofactor 合成数の残り
7549521493979738962537263501522743914905998278892898649348261983311980451845725930697799280299386680209028982392097138483818150807621694371853894698755611829649559023282975157533639604737679831087517578575293937366745636164613<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10254+169

c230

composite cofactor 合成数の残り
27029035941455437282987391154630783477023646816808322200245572006614388770838901158519083696487015502079156321716764116892982257068858943213776135932387312213195163896645034645628720596953123969869360733449110111296406353215399611<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10256+169

c231

composite cofactor 合成数の残り
322884937413781017817653875348317520510166634118143082191068715521344877840664232327318429432290394137114603260151345886901185549448434456725341224768229487485711075099292524369622840928715559481141980911363405014310115817346365263<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10257+169

c175

composite cofactor 合成数の残り
1238870317380843288242764742470192587565048964443744251446453353865948804966742045674456938717594118841933677928988055037925885319192740334933518885892649003112110657780703499<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 29, 2022 09:58:14 UTC 2022 年 7 月 29 日 (金) 18 時 58 分 14 秒 (日本時間)
4511e64480Ignacio SantosJuly 31, 2022 15:58:49 UTC 2022 年 8 月 1 日 (月) 0 時 58 分 49 秒 (日本時間)

29×10259+169

c256

composite cofactor 合成数の残り
4135295459730778005932010038786219484371435090120921743098334474104494638375541866301619895049053159936116814966917636322153775952543919689710244125028519279032626055213324207164042892995665069587040839607574720511065480264658909422769792379648642482318047<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10261+169

c236

composite cofactor 合成数の残り
58865656266142270281723812968969815768866742868803417170475073239129661094203151662223422142878911316387768780649778947521901987830053951811761577119769120296933148375259109938038292518297092594910190707757867615981856003045071327371693<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10262+169

c197

composite cofactor 合成数の残り
27835945579552758606840064189098887287503935810329518597588839318017618386850968376594349878994544407434044596320336812424078300440240262104534147790151558367616543130464549561839645701458642900939<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10263+169

c200

composite cofactor 合成数の残り
22568551943850507471468863341884375092238473274998956432455071924570193122531960211371092456763147865602713981539785736316862366986051360018115479225895620604487196834804814921111469924650724624981533<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10264+169

c257

composite cofactor 合成数の残り
27980989229627095774163575674326788591530863926511934034705967197203204026273693471898588311622169792409465444543508724657695243662545225190460997488225715515576626900007584584832284574981432587436577517922769166039776724519310919549785342972749387918755187<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10267+169

c263

composite cofactor 合成数の残り
20356705639228635286453946112290396127452632051843615575547244404011815312735155047901434235205588687848871817334366611633365904062356099149791659647112997967137257544616283118254208924379752237833709581409975628109662275233891528241068319911946718779833103091973<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10270+169

c248

composite cofactor 合成数の残り
19065874915117065683136059087010376604298065555538751302918992174264748882649199759597259891219441480854287040242935918469634518383493204324708824310957399117946250429005193001634603392990472530671885455701804917724415368918976923123774609865642473<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10272+169

c141

composite cofactor 合成数の残り
430591294771684858011668120948097172436375841789315494521162764281025384894213203501527941595746799771498488332774521147072163039033653861873<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 28, 2022 10:24:31 UTC 2022 年 7 月 28 日 (木) 19 時 24 分 31 秒 (日本時間)
4511e64480Ignacio SantosJuly 30, 2022 08:51:57 UTC 2022 年 7 月 30 日 (土) 17 時 51 分 57 秒 (日本時間)

29×10274+169

c232

composite cofactor 合成数の残り
1231091253259122381031430515209218564962670304281944585054516728832069710004739055012043983143596418307048015694143023456611053162241471244325738077865130934758098490260455547199740569656180197094220784690526685311047506542516548649<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10276+169

c248

composite cofactor 合成数の残り
25190355560854155887503294497316575596593739780342132721513792258618204269690820259015218237674765429222525098247314689272090213603789914612017214169177731941674239531897760413247765035061438169738733207999455346300685639587094505767475424413493877<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10277+169

c219

composite cofactor 合成数の残り
104789177669260953926187543801033015845091745791624608243592795746123822095392109096438055161015680585366953699360120526146052193114366645674776816647233151524901696219156310162754983963980366554039735975356717185392043<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10278+169

c221

composite cofactor 合成数の残り
16565258516128996175610434144056687869713310048133631277820973774934380784090069569672956973035794126860015237066260856252758806163563194314472470683387772251933079339251308088997392127893770341382295206266931749729909277<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10279+169

c237

composite cofactor 合成数の残り
281005026386110182253320890795153522449278049519409670596744203103377123725782705149932970336657303029533684092535098602467030952673137895504832771805470552656941227795461480433489144551731063634168418377164117910835152029004722772881373<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10280+169

c251

composite cofactor 合成数の残り
36514541004073311872461108501364041110326084262984337922039356007022655381599585575152903105368392287362474166435496755175747220854163292933760323806841681417164032955030117527090164525125967200187324271725913442503130106024463364152081955268007996879<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10283+169

c243

composite cofactor 合成数の残り
136337197747459624580771326533515379018882551569872512265640721827805641395417185869671368605458543646069239518061096656068731992471227518552324863131153153047828657914823083374940329174211386241501392809313515085980666137465125360494255016393<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10284+169

c276

composite cofactor 合成数の残り
276269798143445312166344677837017491310827089296750297886290335560101439807070305514720593019211082318234642422186408815749291119515474628944853970788617084982505887606626633442895152377152084377737962307955851199144829055749353674619010115817192215122842912280952212261770019<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10285+169

c215

composite cofactor 合成数の残り
41571857705589875323385385740902841104386711895207040129596093058559934004017392333811508994600304942923980797640015087830418568789093352623169943695613180612935779287313246878631643536666292026077006787942328017973<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10286+169

c215

composite cofactor 合成数の残り
86492789056131442846673688566529922012998608600441509225435390900297347473327295446921371109198791396271353667883507608792913942176992461975754467504260261974212283243718927871519846977428938893689799707060472978293<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10287+169

c239

composite cofactor 合成数の残り
69358986721079286718941039009385505119388817979729274226661260587573080982253187932758249536037556843221076172745709558172654927019286237022398408825123249203158453777804425515417787901198970996569232441340131275860793669757235976718985571<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10289+169

c237

composite cofactor 合成数の残り
568997885235427129188664122289865998710634394448471274969544379474588893699171828304308544660976413896218567494421771793168436518453778837905917750609147686718441054530156494926421127946938706438431350434787220936350559370170741274883777<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10291+169

c263

composite cofactor 合成数の残り
93800302628245681434244276209067532818524686173485551304308342426962390399885868791295107351883823475293997780544640282335106482231264863824078097759455233750983120788096039794644488394098069476202726951629139046679003212329905326310455441291019831314026198001619<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10292+169

c291

composite cofactor 合成数の残り
105994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10293+169

c229

composite cofactor 合成数の残り
4597896553558176348741801691546957487415983482103242901021045757282463097148922115941990514037859919485943734310262303604600579390500765950649761819444235456832161408387000853874915816099025474578720321212724892086469519103249859<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10294+169

c245

composite cofactor 合成数の残り
91428133712416255163543099563123970874060690354402166083164492939253427157812670248745276838536871633030782543365364936830292827850893552404457781017350228052644941814324184015053514827190632639112598726000651191673110739827069711648896585437099<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10295+169

c279

composite cofactor 合成数の残り
119529966376865969068456358351828178110860026561393567200544503827462785012236316191081918032414936988567649948595679294876409451011547914893076152560693067910703620778630927441932396539385859792742137372403709384362433222398146740683751875879681214251137444235312160455471205127<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10296+169

c286

composite cofactor 合成数の残り
5174923762759741248532154966264296969197529012122057113651423883783706110425555341098434948771462630385402305617066276859237246798113474458707533344720409743861331890653782548109812175867367095341736465789268646856192427581441696990223114351783875837760709807963288130475337241449634903<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10297+169

c240

composite cofactor 合成数の残り
583583803882036617467805793679496401303399337931653167469699524192923403285474332390534604992154163495694594094652350566093600121782457363645158343586630712619118584073714501151707931286898813172106891305330446445447044795069225512498795209<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10298+169

c275

composite cofactor 合成数の残り
12903406431971980236052409564256691271738364254255126166118075496516260399292080026777102752984364674057971877175560773956243628859565289134532667322205772457483734140757222466722027056577670167915061239137592438462375957368157876987548853804676342840458891829443567690636683<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10299+169

c262

composite cofactor 合成数の残り
4660196633077762823456200370532386036409170740678130969732379899033344724478409803172713953498148846185930990353012257265753295303080909402063606615991699496600341287474103105274037040210051251838132537923868972559779364069494075993368468475340510226825824456539<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

29×10300+169

c282

composite cofactor 合成数の残り
664434701240055406644800864402710563505088948096237276418565926145215967204336039659453521488424683100417652641782177306969396072481870106702420811712130010351224030218078895043177871814762200319021309784933486912471485929085428295840365040598416154997508236132323366195016008059361<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 15:56:10 UTC 2022 年 7 月 28 日 (木) 0 時 56 分 10 秒 (日本時間)
4511e63584Dmitry DomanovJuly 30, 2022 17:36:48 UTC 2022 年 7 月 31 日 (日) 2 時 36 分 48 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 30, 2022 17:36:48 UTC 2022 年 7 月 31 日 (日) 2 時 36 分 48 秒 (日本時間)