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

name 名前Eric Jeancolas
date 日付February 22, 2023 12:37:45 UTC 2023 年 2 月 22 日 (水) 21 時 37 分 45 秒 (日本時間)
composite number 合成数
18268321680989195260861857715610605115444692900009356277047908851838904113434703372899919524805248458819781564159055816432708219620954068647<140>
prime factors 素因数
64456340427478951140978935692145618821825176784914903401177959<62>
283421639513388598716927892431029046322550825100382903354941015304012515044033<78>
factorization results 素因数分解の結果
18268321680989195260861857715610605115444692900009356277047908851838904113434703372899919524805248458819781564159055816432708219620954068647=64456340427478951140978935692145618821825176784914903401177959*283421639513388598716927892431029046322550825100382903354941015304012515044033

cado polynomial
n: 18268321680989195260861857715610605115444692900009356277047908851838904113434703372899919524805248458819781564159055816432708219620954068647
skew: 0.70
type: snfs
c0: 4
c6: 725
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 725*x^5+4
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 64456340427478951140978935692145618821825176784914903401177959 283421639513388598716927892431029046322550825100382903354941015304012515044033
Info:Square Root: Total cpu/real time for sqrt: 1470.17/195.117
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25814329
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Generate Free Relations: Total cpu/real time for freerel: 387.47/101.93
Info:Linear Algebra: Total cpu/real time for bwc: 316167/96960.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 115657.67, WCT time 38997.24, iteration CPU time 0.46, COMM 0.01, cpu-wait 0.1, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 160266.26, WCT time 50114.71
Info:Linear Algebra: Mksol: CPU time 38993.71,  WCT time 7377.35, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (34304 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 217.04/107.562
Info:Generate Factor Base: Total cpu/real time for makefb: 16.98/6.58548
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 243.81/108.971
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.8s
Info:Square Root: Total cpu/real time for sqrt: 1470.17/195.117
Info:Quadratic Characters: Total cpu/real time for characters: 91.75/23.1259
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 561.21/227.142
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 212.2s
Info:Filtering - Merging: Merged matrix has 2182649 rows and total weight 373154273 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 798.27/237.849
Info:Filtering - Merging: Total cpu/real time for replay: 142.14/116.809
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 320095/98271.9
Info:root: Cleaning up computation data in /tmp/cado.yd5nw2d5
64456340427478951140978935692145618821825176784914903401177959 283421639513388598716927892431029046322550825100382903354941015304012515044033
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 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

name 名前Bob Backstrom
date 日付June 15, 2023 08:36:36 UTC 2023 年 6 月 15 日 (木) 17 時 36 分 36 秒 (日本時間)
composite number 合成数
6576313248054075288039019562336431285135072325040533410513753402142760022210311274483996522997290153004248007141691250006596911947684250129363396942028098021781978946336007<172>
prime factors 素因数
328438627774519575154885913994375049<36>
20022959213460301746682609398057090343277038482675910364435104071128220494819795733917748931896498863315713240490453445013527429954096143<137>
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 6576313248054075288039019562336431285135072325040533410513753402142760022210311274483996522997290153004248007141691250006596911947684250129363396942028098021781978946336007 (172 digits)
Using B1=41880000, B2=192395152966, polynomial Dickson(12), sigma=1:3970051098
Step 1 took 98351ms
Step 2 took 30441ms
********** Factor found in step 2: 328438627774519575154885913994375049
Found prime factor of 36 digits: 328438627774519575154885913994375049
Prime cofactor 20022959213460301746682609398057090343277038482675910364435104071128220494819795733917748931896498863315713240490453445013527429954096143 has 137 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)

29×10202+169

c189

name 名前Bob Backstrom
date 日付July 2, 2023 16:16:05 UTC 2023 年 7 月 3 日 (月) 1 時 16 分 5 秒 (日本時間)
composite number 合成数
160123171059475579645330809906966871614337261299188077522199976107241006664594124528484249223103031845429380864561342129393638183466221900616397046878410579334525560840252082948903602904719<189>
prime factors 素因数
66304413352386329734348426260952160342938530649<47>
2414970029347415451595105332775520064714936067130957168270504342188966927726460632693910796433197437882282422162194903020811563523691514555431<142>
factorization results 素因数分解の結果
Number: n
N=160123171059475579645330809906966871614337261299188077522199976107241006664594124528484249223103031845429380864561342129393638183466221900616397046878410579334525560840252082948903602904719  ( 189 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jul  3 00:05:31 2023  prp47 factor: 66304413352386329734348426260952160342938530649
Mon Jul  3 00:05:31 2023  prp142 factor: 2414970029347415451595105332775520064714936067130957168270504342188966927726460632693910796433197437882282422162194903020811563523691514555431
Mon Jul  3 00:05:31 2023  elapsed time 03:34:45 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 29x10^202+16 = 32(201)4
#
n: 160123171059475579645330809906966871614337261299188077522199976107241006664594124528484249223103031845429380864561342129393638183466221900616397046878410579334525560840252082948903602904719
m: 10000000000000000000000000000000000000000
deg: 5
c5: 725
c0: 4
skew: 0.35
# Murphy_E = 1.012e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5719843 hash collisions in 48142396 relations (44363150 unique)
Msieve: matrix is 2519293 x 2519518 (713.6 MB)

Sieving start time: 2023/07/02 09:37:18
Sieving end time  : 2023/07/02 20:29:47

Total sieving time: 10hrs 52min 29secs.

Total relation processing time: 3hrs 19min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 43sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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

name 名前anonymous
date 日付August 22, 2023 01:31:03 UTC 2023 年 8 月 22 日 (火) 10 時 31 分 3 秒 (日本時間)
composite number 合成数
38768278552368128386094340421700361297969871491019301630922564697333809874589351526467157376226572961445770308255744046707590620405644402536771918644959663628402080758953701<173>
prime factors 素因数
39331619550298429115888658623516727563672983421278579<53>
composite cofactor 合成数の残り
985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319<120>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:10941458324069239270
Step 1 took 83141ms
Step 2 took 25937ms
********** Factor found in step 2: 39331619550298429115888658623516727563672983421278579
Found prime factor of 53 digits: 39331619550298429115888658623516727563672983421278579
Composite cofactor 985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319 has 120 digits
software ソフトウェア
GMP-ECM 7.0.5

c120

name 名前Bob Backstrom
date 日付August 24, 2023 17:30:45 UTC 2023 年 8 月 25 日 (金) 2 時 30 分 45 秒 (日本時間)
composite number 合成数
985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319<120>
prime factors 素因数
34046409315160042599664182688051406713012198750930623371<56>
28950986815007511462734003384390920849785824312424777203345022389<65>
factorization results 素因数分解の結果
#
# N = 29x10^206+16 = 32(205)4
#
# N = 985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319 (120 digits)
#

CADO


STA:Thu 24 Aug 2023 21:13:08 AEST (985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319 - C120)

cado-nfs.py -t 16 --no-colors workdir=/home/bob/tmpg 985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319 2>&1 | tee -a log-g

Info:root: Using default parameter file ./parameters/factor/params.c120
Info:root: No database exists yet
Info:Database: Opened connection to database /home/bob/tmpg/c120.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors workdir=/home/bob/tmpg 985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /home/bob/tmpg/c120.parameters_snapshot.3
Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,LINUX-7
Info:Lattice Sieving: param rels_wanted is 13419694
Info:Complete Factorization / Discrete logarithm: Factoring 985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319
====
n: 985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319
skew: 36309.298
c0: -9005450650423377291792205268
c1: -400243637502151116101375
c2: 43708652804672309384
c3: -46930938997669
c4: 2533589400
c5: 166320
Y0: -118548925820975709201672
Y1: 97038793583918191
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.405e-06
# f(x) = 166320*x^5+2533589400*x^4-46930938997669*x^3+43708652804672309384*x^2-400243637502151116101375*x-9005450650423377291792205268
# g(x) = 97038793583918191*x-118548925820975709201672

===
Info:Polynomial Selection (root optimized): Best overall polynomial was 18-th in list after size optimization
Info:Complete Factorization / Discrete logarithm: Polynomial Selection (root optimized)
Info:Polynomial Selection (root optimized): Aggregate statistics:Info:Polynomial Selection (root optimized): Total time: 1235.57
Info:Polynomial Selection (root optimized): Rootsieve time: 1233.67
Info:Generate Factor Base: Starting
Info:Generate Factor Base: Finished
Info:Complete Factorization / Discrete logarithm: Generate Factor BaseInfo:Generate Factor Base: Total cpu/real time for makefb: 7.89/0.932685
Info:Generate Free Relations: Starting
Info:Generate Free Relations: Found 63468 free relations
Info:Generate Free Relations: Finished
Info:Complete Factorization / Discrete logarithm: Generate Free Relations
Info:Generate Free Relations: Total cpu/real time for freerel: 149.74/11.1488
Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 13419694 relation(s)
Info:Square Root: finished
====
Info:Square Root: Factors: 28950986815007511462734003384390920849785824312424777203345022389 34046409315160042599664182688051406713012198750930623371
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1091.95/81.0514
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 22.68/4.73126
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.58/99.3203
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.0s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21498.7
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14570/36.470/42.927/47.040/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11613/34.470/37.907/43.350/0.778
Info:Polynomial Selection (size optimized): Total time: 2300.18
Info:Filtering - Merging: Total cpu/real time for merge: 89.15/10.6829
Info:Filtering - Merging: Total cpu/real time for replay: 14.52/11.1247
Info:Generate Free Relations: Total cpu/real time for freerel: 149.74/11.1488
Info:Linear Algebra: Total cpu/real time for bwc: 7977.86/580.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5048.57, WCT time 334.87, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 47.38, WCT time 48.54
Info:Linear Algebra: Mksol: CPU time 2751.01,  WCT time 183.09, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Square Root: Total cpu/real time for sqrt: 1091.95/81.0514
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13845378
Info:Lattice Sieving: Average J: 1886.93 for 283149 special-q, max bucket fill -bkmult 1.0,1s:1.253120
Info:Lattice Sieving: Total time: 36211.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.59/58.2481
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1235.57
Info:Polynomial Selection (root optimized): Rootsieve time: 1233.67
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 71.83/62.0059
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.900000000000006s
Info:Generate Factor Base: Total cpu/real time for makefb: 7.89/0.932685
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 81610.9/6800.93 [01:53:21]
28950986815007511462734003384390920849785824312424777203345022389 34046409315160042599664182688051406713012198750930623371

END:Thu 24 Aug 2023 23:05:40 AEST (985677147181547311252513526777119337543017046939102290713226744654961136566088423795880562038481705793768710961721653319 - C120)

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)
403e62350dddAugust 17, 2023 18:06:32 UTC 2023 年 8 月 18 日 (金) 3 時 6 分 32 秒 (日本時間)
4511e62684 / 3915dddAugust 22, 2023 15:11:07 UTC 2023 年 8 月 23 日 (水) 0 時 11 分 7 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)
403e65000dddAugust 25, 2023 14:56:40 UTC 2023 年 8 月 25 日 (金) 23 時 56 分 40 秒 (日本時間)
4511e67776dddJune 4, 2024 04:53:20 UTC 2024 年 6 月 4 日 (火) 13 時 53 分 20 秒 (日本時間)

29×10209+169

c193

name 名前anonymous
date 日付August 25, 2023 19:12:43 UTC 2023 年 8 月 26 日 (土) 4 時 12 分 43 秒 (日本時間)
composite number 合成数
6943715974027465743579258623345767397621100458891192026199161229121603759439179431041942333470566170254113949127814795651542208445010104711243277303375495995141671822961980060303260150341979061<193>
prime factors 素因数
11028628932801908173189154836923904942312223<44>
composite cofactor 合成数の残り
629608269199729180497603323900800026414141917363393277378273098450011084169423831883534504144783929691308735207616314738207083756398147635960966734507<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:1806866172857520995
Step 1 took 32203ms
Step 2 took 10703ms
********** Factor found in step 2: 11028628932801908173189154836923904942312223
Found prime factor of 44 digits: 11028628932801908173189154836923904942312223
Composite cofactor 629608269199729180497603323900800026414141917363393277378273098450011084169423831883534504144783929691308735207616314738207083756398147635960966734507 has 150 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e63318dddAugust 25, 2023 19:11:24 UTC 2023 年 8 月 26 日 (土) 4 時 11 分 24 秒 (日本時間)
4511e60--
5043e675534000dddSeptember 2, 2023 00:40:34 UTC 2023 年 9 月 2 日 (土) 9 時 40 分 34 秒 (日本時間)
428dddSeptember 2, 2023 21:25:48 UTC 2023 年 9 月 3 日 (日) 6 時 25 分 48 秒 (日本時間)
3125dddSeptember 3, 2023 22:34:48 UTC 2023 年 9 月 4 日 (月) 7 時 34 分 48 秒 (日本時間)

29×10210+169

c175

name 名前anonymous
date 日付August 25, 2023 11:17:04 UTC 2023 年 8 月 25 日 (金) 20 時 17 分 4 秒 (日本時間)
composite number 合成数
1942418284038301618960514531883255419310476417015147666938792980957650412659944589281189923710161752865283002400735707770447999316576818928793772670645257525427452235915478029<175>
prime factors 素因数
17517628562190788166789250241108763608713582091009<50>
110883632287461806385882905303375447580955855772539617908577120848371820565501734173428529834770536580725556374888785633600781<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:16339400944449312513
Step 1 took 61172ms
Step 2 took 17484ms
********** Factor found in step 1: 17517628562190788166789250241108763608713582091009
Found prime factor of 50 digits: 17517628562190788166789250241108763608713582091009
Prime cofactor 110883632287461806385882905303375447580955855772539617908577120848371820565501734173428529834770536580725556374888785633600781 has 126 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e67776dddAugust 21, 2023 20:41:34 UTC 2023 年 8 月 22 日 (火) 5 時 41 分 34 秒 (日本時間)

29×10211+169

c145

name 名前NFS@Home
date 日付July 19, 2023 00:16:25 UTC 2023 年 7 月 19 日 (水) 9 時 16 分 25 秒 (日本時間)
composite number 合成数
2045617183379621340739851731682683476058770311491715932906355206610919291197178161669143133925518394853595837934593769322658266511700847582090023<145>
prime factors 素因数
25480866580926583249254478083097092662714984125733456685559946365649179<71>
80280518595503542602348789893666362740797600481321545920508505721650897637<74>
factorization results 素因数分解の結果
Msieve v. 1.53 (SVN 1005)
Tue Jul 18 14:07:54 2023
random seeds: 8ce2b0c4 d70fd24f
factoring 2045617183379621340739851731682683476058770311491715932906355206610919291197178161669143133925518394853595837934593769322658266511700847582090023 (145 digits)
searching for 15-digit factors
commencing number field sieve (145-digit input)
R0: -6553867227187827772076939287
R1: 133768967348066089787
A0: 18457895325690492123403135508184
A1: -693864896740981682002085229
A2: -76049339974208991038206
A3: 294532598827924811
A4: 5564610874980
A5: 10036800
skew 118375.46, size 5.184e-014, alpha -6.635, combined = 1.168e-011 rroots = 5

commencing relation filtering
setting target matrix density to 110.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
read 10M relations
error -5 reading relation 10565990
error -15 reading relation 10571410
error -5 reading relation 10605264
error -1 reading relation 13997050
error -9 reading relation 16809959
read 20M relations
read 30M relations
read 40M relations
read 50M relations
error -9 reading relation 57652475
error -15 reading relation 58128782
error -9 reading relation 58372064
read 60M relations
read 70M relations
error -9 reading relation 73421788
read 80M relations
error -1 reading relation 88181454
read 90M relations
read 100M relations
error -9 reading relation 108892911
error -15 reading relation 108896578
error -1 reading relation 109631175
read 110M relations
skipped 6 relations with composite factors
found 8829172 hash collisions in 110440132 relations
added 122055 free relations
commencing duplicate removal, pass 2
found 4363132 duplicates and 106199055 unique relations
memory use: 394.4 MB
reading ideals above 59965440
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 1739.8 MB
commencing in-memory singleton removal
begin with 106199055 relations and 77964489 unique ideals
reduce to 74389390 relations and 43679030 ideals in 10 passes
max relations containing the same ideal: 148
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 2642.3 MB
keeping 50434318 ideals with weight <= 200, target excess is 363976
commencing in-memory singleton removal
begin with 74389390 relations and 50434318 unique ideals
reduce to 74388923 relations and 50433851 ideals in 5 passes
max relations containing the same ideal: 200
removing 6876600 relations and 4876600 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 67512323 relations and 50433851 unique ideals
reduce to 67019620 relations and 45048274 ideals in 7 passes
max relations containing the same ideal: 197
removing 5674643 relations and 3674643 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 61344977 relations and 45048274 unique ideals
reduce to 61014051 relations and 41032903 ideals in 6 passes
max relations containing the same ideal: 185
removing 5354957 relations and 3354957 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 55659094 relations and 41032903 unique ideals
reduce to 55373104 relations and 37383347 ideals in 6 passes
max relations containing the same ideal: 175
removing 5180984 relations and 3180984 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 50192120 relations and 37383347 unique ideals
reduce to 49925145 relations and 33927029 ideals in 6 passes
max relations containing the same ideal: 163
removing 5060318 relations and 3060318 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 44864827 relations and 33927029 unique ideals
reduce to 44602687 relations and 30595525 ideals in 6 passes
max relations containing the same ideal: 152
removing 4974191 relations and 2974191 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 39628496 relations and 30595525 unique ideals
reduce to 39361728 relations and 27344697 ideals in 6 passes
max relations containing the same ideal: 142
removing 4911203 relations and 2911203 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 34450525 relations and 27344697 unique ideals
reduce to 34171675 relations and 24143146 ideals in 6 passes
max relations containing the same ideal: 127
removing 4855741 relations and 2855741 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 29315934 relations and 24143146 unique ideals
reduce to 29014223 relations and 20972165 ideals in 6 passes
max relations containing the same ideal: 115
removing 4815103 relations and 2815103 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 24199120 relations and 20972165 unique ideals
reduce to 23861204 relations and 17801499 ideals in 6 passes
max relations containing the same ideal: 98
removing 4781129 relations and 2781129 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 19080075 relations and 17801499 unique ideals
reduce to 18682081 relations and 14597421 ideals in 7 passes
max relations containing the same ideal: 85
removing 4753215 relations and 2753215 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 13928866 relations and 14597421 unique ideals
reduce to 13423710 relations and 11299606 ideals in 8 passes
max relations containing the same ideal: 68
removing 4094422 relations and 2392531 ideals in 1701891 cliques
commencing in-memory singleton removal
begin with 9329288 relations and 11299606 unique ideals
reduce to 8704053 relations and 8221643 ideals in 8 passes
max relations containing the same ideal: 52
removing 301942 relations and 241745 ideals in 60197 cliques
commencing in-memory singleton removal
begin with 8402111 relations and 8221643 unique ideals
reduce to 8389487 relations and 7967152 ideals in 6 passes
max relations containing the same ideal: 49
relations with 0 large ideals: 1193
relations with 1 large ideals: 8294
relations with 2 large ideals: 108554
relations with 3 large ideals: 557765
relations with 4 large ideals: 1472172
relations with 5 large ideals: 2244862
relations with 6 large ideals: 2137735
relations with 7+ large ideals: 1858912
commencing 2-way merge
reduce to 5996498 relation sets and 5574163 unique ideals
commencing full merge
memory use: 682.7 MB
found 2665181 cycles, need 2636363
weight of 2636363 cycles is about 290434901 (110.16/cycle)
distribution of cycle lengths:
1 relations: 97733
2 relations: 166379
3 relations: 215033
4 relations: 231697
5 relations: 237606
6 relations: 227822
7 relations: 210296
8 relations: 187447
9 relations: 165373
10+ relations: 896977
heaviest cycle: 28 relations
commencing cycle optimization
start with 21863519 relations
pruned 1276070 relations
memory use: 568.6 MB
distribution of cycle lengths:
1 relations: 97733
2 relations: 172164
3 relations: 227218
4 relations: 245612
5 relations: 253976
6 relations: 242564
7 relations: 223091
8 relations: 196585
9 relations: 171563
10+ relations: 805857
heaviest cycle: 28 relations
RelProcTime: 3073

commencing linear algebra
read 2636363 cycles
cycles contain 8178038 unique relations
read 8178038 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1135.3 MB
read 2636363 cycles
matrix is 2636183 x 2636363 (1123.7 MB) with weight 343934140 (130.46/col)
sparse part has weight 265577524 (100.74/col)
filtering completed in 2 passes
matrix is 2635844 x 2636023 (1123.7 MB) with weight 343916103 (130.47/col)
sparse part has weight 265570625 (100.75/col)
matrix starts at (0, 0)
matrix is 2635844 x 2636023 (1123.7 MB) with weight 343916103 (130.47/col)
sparse part has weight 265570625 (100.75/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2635796 x 2636023 (1093.6 MB) with weight 290325489 (110.14/col)
sparse part has weight 260321331 (98.76/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 893.4 MB
linear algebra at 0.1%, ETA 2h53m2636023 dimensions (0.1%, ETA 2h53m)
checkpointing every 820000 dimensions023 dimensions (0.1%, ETA 3h14m)
linear algebra completed 2635660 of 2636023 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 41684 iterations (dim = 2635792)
recovered 27 nontrivial dependencies
BLanczosTime: 14498

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 1319221 cycles
cycles contain 4091538 unique relations
read 4091538 relations
multiplying 4091538 relations
multiply complete, coefficients have about 234.01 million bits
initial square root is modulo 250059079
GCD is 1, no factor found
reading relations for dependency 2
read 1319012 cycles
cycles contain 4093068 unique relations
read 4093068 relations
multiplying 4093068 relations
multiply complete, coefficients have about 234.10 million bits
initial square root is modulo 251865553
GCD is 1, no factor found
reading relations for dependency 3
read 1317854 cycles
cycles contain 4088312 unique relations
read 4088312 relations
multiplying 4088312 relations
multiply complete, coefficients have about 233.83 million bits
initial square root is modulo 246260107
GCD is N, no factor found
reading relations for dependency 4
read 1317590 cycles
cycles contain 4088534 unique relations
read 4088534 relations
multiplying 4088534 relations
multiply complete, coefficients have about 233.84 million bits
initial square root is modulo 246538543
GCD is N, no factor found
reading relations for dependency 5
read 1318370 cycles
cycles contain 4089326 unique relations
read 4089326 relations
multiplying 4089326 relations
multiply complete, coefficients have about 233.88 million bits
initial square root is modulo 247337869
sqrtTime: 3446
p71 factor: 25480866580926583249254478083097092662714984125733456685559946365649179
p74 factor: 80280518595503542602348789893666362740797600481321545920508505721650897637
elapsed time 05:50:18

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)
403e62350dddAugust 17, 2023 21:04:11 UTC 2023 年 8 月 18 日 (金) 6 時 4 分 11 秒 (日本時間)
4511e65000dddJuly 20, 2024 07:14:51 UTC 2024 年 7 月 20 日 (土) 16 時 14 分 51 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)
403e67776dddAugust 21, 2023 16:09:07 UTC 2023 年 8 月 22 日 (火) 1 時 9 分 7 秒 (日本時間)
4511e65000cccOctober 16, 2023 00:54:53 UTC 2023 年 10 月 16 日 (月) 9 時 54 分 53 秒 (日本時間)
5043e67553cccJune 29, 2024 01:46:39 UTC 2024 年 6 月 29 日 (土) 10 時 46 分 39 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)
403e65000cccSeptember 29, 2023 20:36:09 UTC 2023 年 9 月 30 日 (土) 5 時 36 分 9 秒 (日本時間)
4511e65000cccDecember 4, 2023 05:41:52 UTC 2023 年 12 月 4 日 (月) 14 時 41 分 52 秒 (日本時間)

29×10225+169

c212

name 名前anonymous
date 日付October 22, 2023 19:55:56 UTC 2023 年 10 月 23 日 (月) 4 時 55 分 56 秒 (日本時間)
composite number 合成数
13270497732431456496241274350460077559079719995722035282157829247687720708587110254759100373259320388311357192891055134466944550925972163658870425881779870125965771563847133583684672840757511724749568464293346607<212>
prime factors 素因数
18852646631018593426902599237588261128211<41>
composite cofactor 合成数の残り
703906352893565167938911686652647492887382667337180496096422002595341189570642925962561833692642450040499446455895631943645147606810601704453653520276259128268709185294837<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:9729990624818083761
Step 1 took 16453ms
Step 2 took 6125ms
********** Factor found in step 2: 18852646631018593426902599237588261128211
Found prime factor of 41 digits: 18852646631018593426902599237588261128211
Composite cofactor 703906352893565167938911686652647492887382667337180496096422002595341189570642925962561833692642450040499446455895631943645147606810601704453653520276259128268709185294837 has 171 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62192dddOctober 22, 2023 19:55:37 UTC 2023 年 10 月 23 日 (月) 4 時 55 分 37 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)
403e62400dddOctober 29, 2023 17:23:57 UTC 2023 年 10 月 30 日 (月) 2 時 23 分 57 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)
403e62400dddOctober 22, 2023 21:42:26 UTC 2023 年 10 月 23 日 (月) 6 時 42 分 26 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)
403e62400dddOctober 22, 2023 23:21:33 UTC 2023 年 10 月 23 日 (月) 8 時 21 分 33 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)
403e62500dddDecember 11, 2023 00:50:32 UTC 2023 年 12 月 11 日 (月) 9 時 50 分 32 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)
403e62400dddOctober 22, 2023 17:23:43 UTC 2023 年 10 月 23 日 (月) 2 時 23 分 43 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)
403e62500cccOctober 16, 2023 02:33:19 UTC 2023 年 10 月 16 日 (月) 11 時 33 分 19 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)
403e62500dddMay 26, 2024 01:35:27 UTC 2024 年 5 月 26 日 (日) 10 時 35 分 27 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

name 名前anonymous
date 日付May 31, 2024 15:16:22 UTC 2024 年 6 月 1 日 (土) 0 時 16 分 22 秒 (日本時間)
composite number 合成数
1082074165527904016456373119153542984218055321955223992909503064000527086067390809117212415016758698421282369556534642098529990101124221689862417203379862627148882047460525565727786978724374262715207594967541324875481597<220>
prime factors 素因数
907661658567414898817657421106037<33>
composite cofactor 合成数の残り
1192155860407025168786675362843366860263464958208987716379952898938860402652014250425214634945989540445428501400785388502725912399933781540037305509516177059134773490939510458917248299881<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:16588921067995026853
Step 1 took 26047ms
********** Factor found in step 2: 907661658567414898817657421106037
Found prime factor of 33 digits: 907661658567414898817657421106037
Composite cofactor 1192155860407025168786675362843366860263464958208987716379952898938860402652014250425214634945989540445428501400785388502725912399933781540037305509516177059134773490939510458917248299881 has 187 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62500cccMay 31, 2024 15:15:11 UTC 2024 年 6 月 1 日 (土) 0 時 15 分 11 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)
403e62500cccMay 31, 2024 15:11:45 UTC 2024 年 6 月 1 日 (土) 0 時 11 分 45 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)
403e65000cccJune 16, 2024 12:14:01 UTC 2024 年 6 月 16 日 (日) 21 時 14 分 1 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)
403e62350cccApril 22, 2024 00:09:04 UTC 2024 年 4 月 22 日 (月) 9 時 9 分 4 秒 (日本時間)
4511e6700 / 3915dddMay 25, 2024 08:32:02 UTC 2024 年 5 月 25 日 (土) 17 時 32 分 2 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

name 名前anonymous
date 日付April 28, 2024 21:19:14 UTC 2024 年 4 月 29 日 (月) 6 時 19 分 14 秒 (日本時間)
composite number 合成数
19319997542954904397409359156113952364365742028091690125768986271440767700658780792311669734019398999639107326707695398673583974568164274880101704371475060004966304494237330971172861008480762667766412854229661578235403<218>
prime factors 素因数
97216859067680411120385053283170819599<38>
composite cofactor 合成数の残り
198730937496187907545211022922793650975271139478594124093653733347579767971139151411779692787701247350666874942747885097469287677980064909343245436887785370678074133759734870985797<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:10761172622462275078
Step 1 took 24156ms
Step 2 took 8844ms
********** Factor found in step 2: 97216859067680411120385053283170819599
Found prime factor of 38 digits: 97216859067680411120385053283170819599
Composite cofactor 198730937496187907545211022922793650975271139478594124093653733347579767971139151411779692787701247350666874942747885097469287677980064909343245436887785370678074133759734870985797 has 180 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62500cccMay 8, 2024 14:43:52 UTC 2024 年 5 月 8 日 (水) 23 時 43 分 52 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)
403e62400dddOctober 22, 2023 17:34:13 UTC 2023 年 10 月 23 日 (月) 2 時 34 分 13 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)
403e62500dddMarch 17, 2024 23:55:32 UTC 2024 年 3 月 18 日 (月) 8 時 55 分 32 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)
403e62500dddMarch 18, 2024 01:09:00 UTC 2024 年 3 月 18 日 (月) 10 時 9 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

name 名前Ignacio Santos
date 日付December 22, 2022 14:31:19 UTC 2022 年 12 月 22 日 (木) 23 時 31 分 19 秒 (日本時間)
composite number 合成数
430591294771684858011668120948097172436375841789315494521162764281025384894213203501527941595746799771498488332774521147072163039033653861873<141>
prime factors 素因数
16092757473678543210156914182443229511068596637<47>
26756837383274047162419125174748417109352861318021714894221950286210350823229057169201489936229<95>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1885401542
Step 1 took 81656ms
Step 2 took 27859ms
********** Factor found in step 2: 16092757473678543210156914182443229511068596637
Found prime factor of 47 digits: 16092757473678543210156914182443229511068596637
Prime cofactor 26756837383274047162419125174748417109352861318021714894221950286210350823229057169201489936229 has 95 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 10:24:31 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)
403e62500dddMay 25, 2024 12:20:24 UTC 2024 年 5 月 25 日 (土) 21 時 20 分 24 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)
403e62500dddMay 26, 2024 01:35:04 UTC 2024 年 5 月 26 日 (日) 10 時 35 分 4 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)