Table of contents 目次

13×10118+83

c112

name 名前Dmitry Domanov
date 日付June 29, 2022 23:11:46 UTC 2022 年 6 月 30 日 (木) 8 時 11 分 46 秒 (日本時間)
composite number 合成数
2144833123403666701115986371796328758437278545980008571413109774407112029055691350990127564115001596415792465683<112>
prime factors 素因数
5224399501303614415461314915094260749047631323132286937<55>
410541560397224370922664434600555656085991560566628077259<57>
factorization results 素因数分解の結果
N=2144833123403666701115986371796328758437278545980008571413109774407112029055691350990127564115001596415792465683
  ( 112 digits)
SNFS difficulty: 118 digits.
Divisors found:
p55 factor: 5224399501303614415461314915094260749047631323132286937
p57 factor: 410541560397224370922664434600555656085991560566628077259
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2144833123403666701115986371796328758437278545980008571413109774407112029055691350990127564115001596415792465683
m: 100000000000000000000000000000
deg: 4
c4: 325
c0: 2
skew: 0.28
# Murphy_E = 4.949e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56380 x 56608
Total sieving time: 0.50 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,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.51 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

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

13×10123+83

c94

name 名前Ignacio Santos
date 日付June 30, 2022 12:45:10 UTC 2022 年 6 月 30 日 (木) 21 時 45 分 10 秒 (日本時間)
composite number 合成数
2624377274916419206093038064591037594409728285690482331507027823006341216000639786820430710539<94>
prime factors 素因数
829533642274419350801218836041580930126756631<45>
3163677928385024754477015742711078352935789313069<49>
factorization results 素因数分解の結果
prp49 = 3163677928385024754477015742711078352935789313069
prp45 = 829533642274419350801218836041580930126756631
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

13×10136+83

c129

name 名前Bob Backstrom
date 日付June 29, 2022 22:29:59 UTC 2022 年 6 月 30 日 (木) 7 時 29 分 59 秒 (日本時間)
composite number 合成数
183871974685094915675124313579044904240550527854573086671512060943568287884537542578101657983213654176690376646634352496651578189<129>
prime factors 素因数
92442684389721629999523162891373724321456565822286815181<56>
1989037595554061820678670846893611980389073116227479063821173048525584769<73>
factorization results 素因数分解の結果
Number: n
N=183871974685094915675124313579044904240550527854573086671512060943568287884537542578101657983213654176690376646634352496651578189  ( 129 digits)
SNFS difficulty: 137 digits.
Divisors found:

Thu Jun 30 08:25:43 2022  p56 factor: 92442684389721629999523162891373724321456565822286815181
Thu Jun 30 08:25:43 2022  p73 factor: 1989037595554061820678670846893611980389073116227479063821173048525584769
Thu Jun 30 08:25:43 2022  elapsed time 00:02:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 13x10^136+8 = 43(135)6
#
n: 183871974685094915675124313579044904240550527854573086671512060943568287884537542578101657983213654176690376646634352496651578189
m: 10000000000000000000000000000000000
deg: 4
c4: 13
c0: 8
skew: 0.89
# Murphy_E = 6.168e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6275000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 513843 hash collisions in 6258486 relations (6412742 unique)
Msieve: matrix is 217937 x 218185 (70.8 MB)

Sieving start time : 2022/06/30 08:12:49
Sieving end time  : 2022/06/30 08:22:48

Total sieving time: 0hrs 9min 59secs.

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

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

13×10137+83

c126

name 名前Eric Jeancolas
date 日付July 4, 2022 13:40:18 UTC 2022 年 7 月 4 日 (月) 22 時 40 分 18 秒 (日本時間)
composite number 合成数
931237010922037448915885808729487189471208423236009530913819544874682461767456246906941504851098557014269161834870813337546689<126>
prime factors 素因数
1574627067098529861676127880902758693880407423249612294741937<61>
591401627966405792970735847130664233744551256423695174497539892497<66>
factorization results 素因数分解の結果
931237010922037448915885808729487189471208423236009530913819544874682461767456246906941504851098557014269161834870813337546689=1574627067098529861676127880902758693880407423249612294741937*591401627966405792970735847130664233744551256423695174497539892497

cado polynomial
n: 931237010922037448915885808729487189471208423236009530913819544874682461767456246906941504851098557014269161834870813337546689
skew: 0.50
type: snfs
c0: 4
c4: 65
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 65*x^4+4
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1390000
tasks.lim1 = 1390000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 591401627966405792970735847130664233744551256423695174497539892497 1574627067098529861676127880902758693880407423249612294741937
Info:Square Root: Total cpu/real time for sqrt: 21.13/6.82805
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.09/40.9326
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6094161
Info:Lattice Sieving: Average J: 1890.53 for 80268 special-q, max bucket fill -bkmult 1.0,1s:1.321200
Info:Lattice Sieving: Total time: 7321.17s
Info:Linear Algebra: Total cpu/real time for bwc: 275.63/72.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 157.96, WCT time 40.84, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Linear Algebra: Lingen CPU time 19.33, WCT time 4.95
Info:Linear Algebra: Mksol: CPU time 86.52,  WCT time 22.49, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.4/11.2271
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.43/23.4828
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Merging: Merged matrix has 143510 rows and total weight 24398427 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.02/8.14838
Info:Filtering - Merging: Total cpu/real time for replay: 4.43/3.69071
Info:Generate Factor Base: Total cpu/real time for makefb: 0.72/0.38377
Info:Quadratic Characters: Total cpu/real time for characters: 4.53/1.76333
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.62/46.8273
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.9s
Info:Square Root: Total cpu/real time for sqrt: 21.13/6.82805
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13626.4/3996.97
Info:root: Cleaning up computation data in /tmp/cado.cxh7d8od
591401627966405792970735847130664233744551256423695174497539892497 1574627067098529861676127880902758693880407423249612294741937
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

13×10141+83

c130

name 名前Bob Backstrom
date 日付June 29, 2022 22:09:48 UTC 2022 年 6 月 30 日 (木) 7 時 9 分 48 秒 (日本時間)
composite number 合成数
1139954748339319335299802361014116437059291786595961719275065999847244157016681371365239809862374713514992791577632841725477777787<130>
prime factors 素因数
6003420752219193808379527231507897<34>
38204078999834221766712110758290717115851871381<47>
4970259857788332509359210569777387011742253262791<49>
factorization results 素因数分解の結果
Number: n
N=1139954748339319335299802361014116437059291786595961719275065999847244157016681371365239809862374713514992791577632841725477777787  ( 130 digits)
SNFS difficulty: 141 digits.
Divisors found:

Thu Jun 30 08:06:18 2022  found factor: 4970259857788332509359210569777387011742253262791
Thu Jun 30 08:06:34 2022  p34 factor: 6003420752219193808379527231507897
Thu Jun 30 08:06:34 2022  p47 factor: 38204078999834221766712110758290717115851871381
Thu Jun 30 08:06:34 2022  p49 factor: 4970259857788332509359210569777387011742253262791
Thu Jun 30 08:06:34 2022  elapsed time 00:03:10 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 13x10^141+8 = 43(140)6
#
n: 1139954748339319335299802361014116437059291786595961719275065999847244157016681371365239809862374713514992791577632841725477777787
m: 100000000000000000000000000000000000
deg: 4
c4: 65
c0: 4
skew: 0.50
# Murphy_E = 3.633e-09
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6410000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 380675 hash collisions in 5952937 relations (6250179 unique)
Msieve: matrix is 243084 x 243309 (82.2 MB)

Sieving start time : 2022/06/30 07:47:04
Sieving end time  : 2022/06/30 08:03:12

Total sieving time: 0hrs 16min 8secs.

Total relation processing time: 0hrs 1min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

13×10142+83

c128

name 名前Bob Backstrom
date 日付June 29, 2022 22:56:40 UTC 2022 年 6 月 30 日 (木) 7 時 56 分 40 秒 (日本時間)
composite number 合成数
22335972549378324814857355107841718746466654840458318343448313077949056938617357628688916748454472794978829151182086917144245351<128>
prime factors 素因数
3346594592636300955381400369207075211551820224748976413255711689<64>
6674239120126893483689910832914490522300939840974514788880541359<64>
factorization results 素因数分解の結果
Number: n
N=22335972549378324814857355107841718746466654840458318343448313077949056938617357628688916748454472794978829151182086917144245351  ( 128 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Jun 30 08:53:02 2022  p64 factor: 3346594592636300955381400369207075211551820224748976413255711689
Thu Jun 30 08:53:02 2022  p64 factor: 6674239120126893483689910832914490522300939840974514788880541359
Thu Jun 30 08:53:02 2022  elapsed time 00:02:52 (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 = 13x10^142+8 = 43(141)6
#
n: 22335972549378324814857355107841718746466654840458318343448313077949056938617357628688916748454472794978829151182086917144245351
m: 100000000000000000000000000000000000
deg: 4
c4: 325
c0: 2
skew: 0.28
# Murphy_E = 3.351e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6430000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 390399 hash collisions in 5952904 relations (6240949 unique)
Msieve: matrix is 248284 x 248509 (83.0 MB)

Sieving start time : 2022/06/30 08:33:11
Sieving end time  : 2022/06/30 08:49:55

Total sieving time: 0hrs 16min 44secs.

Total relation processing time: 0hrs 1min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

13×10144+83

c115

name 名前Eric Jeancolas
date 日付July 5, 2022 03:09:23 UTC 2022 年 7 月 5 日 (火) 12 時 9 分 23 秒 (日本時間)
composite number 合成数
5736234334020340709363481537454233978475613421876463343948861020997178156367885744404269969577207339604151677948109<115>
prime factors 素因数
79586518518405247057479583689328826920125008359562089<53>
72075452486262157573511591883875198214527456739998665442890181<62>
factorization results 素因数分解の結果
5736234334020340709363481537454233978475613421876463343948861020997178156367885744404269969577207339604151677948109=79586518518405247057479583689328826920125008359562089*72075452486262157573511591883875198214527456739998665442890181

cado polynomial
n: 5736234334020340709363481537454233978475613421876463343948861020997178156367885744404269969577207339604151677948109
skew: 0.72
type: snfs
c0: 5
c5: 26
Y0: 50000000000000000000000000000
Y1: -1
# f(x) = 26*x^5+5
# g(x) = -x+50000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1820000
tasks.lim1 = 1820000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 72075452486262157573511591883875198214527456739998665442890181 79586518518405247057479583689328826920125008359562089
Info:Square Root: Total cpu/real time for sqrt: 51.5/41.0424
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.19/63.4996
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6124923
Info:Lattice Sieving: Average J: 1892.82 for 61645 special-q, max bucket fill -bkmult 1.0,1s:1.237460
Info:Lattice Sieving: Total time: 12975s
Info:Linear Algebra: Total cpu/real time for bwc: 494.24/492.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 232.21, WCT time 240.09, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5376 iterations)
Info:Linear Algebra: Lingen CPU time 119.62, WCT time 102.9
Info:Linear Algebra: Mksol: CPU time 127.38,  WCT time 134.46, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.54/38.5115
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 30.43/21.864
Info:Filtering - Merging: Merged matrix has 170003 rows and total weight 28969885 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.14/30.3282
Info:Filtering - Merging: Total cpu/real time for replay: 5.8/6.42752
Info:Generate Factor Base: Total cpu/real time for makefb: 0.8/0.913535
Info:Quadratic Characters: Total cpu/real time for characters: 5.69/4.733
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.67/77.2658
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.2s
Info:Square Root: Total cpu/real time for sqrt: 51.5/41.0424
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12569.8/7515.95
Info:root: Cleaning up computation data in /tmp/cado.9gulrpbu
72075452486262157573511591883875198214527456739998665442890181 79586518518405247057479583689328826920125008359562089
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

13×10148+83

c137

name 名前Ignacio Santos
date 日付July 5, 2022 09:56:36 UTC 2022 年 7 月 5 日 (火) 18 時 56 分 36 秒 (日本時間)
composite number 合成数
24348155746233763504349358166764778896023398556239760197858279538354370539140407881168319151183770737703138210603749858628301565028494549<137>
prime factors 素因数
16575565845523810521908945456183336019523029551880327529<56>
1468918525807607415932795660221107120448184104914496913983748713365765684992714381<82>
factorization results 素因数分解の結果
N=24348155746233763504349358166764778896023398556239760197858279538354370539140407881168319151183770737703138210603749858628301565028494549
  ( 137 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=16575565845523810521908945456183336019523029551880327529 (pp56)
 r2=1468918525807607415932795660221107120448184104914496913983748713365765684992714381 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.91 hours.
Scaled time: 46.44 units (timescale=7.855).
Factorization parameters were as follows:
n: 24348155746233763504349358166764778896023398556239760197858279538354370539140407881168319151183770737703138210603749858628301565028494549
m: 100000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 1.69e-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, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343043 x 343268
Total sieving time: 5.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 5.91 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

13×10149+83

c101

name 名前Dmitry Domanov
date 日付June 30, 2022 09:13:56 UTC 2022 年 6 月 30 日 (木) 18 時 13 分 56 秒 (日本時間)
composite number 合成数
28088914428360450456176434030540780876304867949741883444698711226033575574173274257080527451925168151<101>
prime factors 素因数
106390691655926268402058599548829455973523<42>
264016654005800110821298743312044417925026679587635145958637<60>
factorization results 素因数分解の結果
N=28088914428360450456176434030540780876304867949741883444698711226033575574173274257080527451925168151
  ( 101 digits)
Divisors found:
p42 factor: 106390691655926268402058599548829455973523
p60 factor: 264016654005800110821298743312044417925026679587635145958637
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 28088914428360450456176434030540780876304867949741883444698711226033575574173274257080527451925168151
skew: 2087946.59
c0: 76992603011645690442002458072
c1: 14880231371177197633674
c2: -68318905060471741
c3: -7029687870
c4: 10080
Y0: -1292019200198068696113477
Y1: 6174229438501
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 50000
type: gnfs
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248148 x 248374
Total sieving time: 1.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 1.77 hours.
 --------- CPU info (if available) ----------

ECM

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

13×10151+83

c103

name 名前Dmitry Domanov
date 日付June 30, 2022 11:58:21 UTC 2022 年 6 月 30 日 (木) 20 時 58 分 21 秒 (日本時間)
composite number 合成数
5915409392612545895595686595505045168861880191894490082461911275721393106344349139737235848874479294377<103>
prime factors 素因数
323868602280013865127593217722496129793318460689<48>
18264843677245799892571270112165423373377763379845312793<56>
factorization results 素因数分解の結果
N=5915409392612545895595686595505045168861880191894490082461911275721393106344349139737235848874479294377
  ( 103 digits)
Divisors found:
p48 factor: 323868602280013865127593217722496129793318460689
p56 factor: 18264843677245799892571270112165423373377763379845312793
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5915409392612545895595686595505045168861880191894490082461911275721393106344349139737235848874479294377
skew: 481723.13
c0: 276182855684791324592365204
c1: 2134818960408074576980
c2: -20390507138567413
c3: -24209102254
c4: 31920
Y0: -3689611117022159017884987
Y1: 5071938886177
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 50000
type: gnfs
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248589 x 248816
Total sieving time: 2.14 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 2.19 hours.
 --------- CPU info (if available) ----------

ECM

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

13×10155+83

c106

name 名前Eric Jeancolas
date 日付June 30, 2022 17:47:28 UTC 2022 年 7 月 1 日 (金) 2 時 47 分 28 秒 (日本時間)
composite number 合成数
3884740138880878088451318391035628857847875757100450377471785749866027582784229090120536350239689023972297<106>
prime factors 素因数
5776487211920225100542145622465956057636714661352831<52>
672509086640825308767702281649081164839419072129596087<54>
factorization results 素因数分解の結果
3884740138880878088451318391035628857847875757100450377471785749866027582784229090120536350239689023972297=5776487211920225100542145622465956057636714661352831*672509086640825308767702281649081164839419072129596087

cado polynomial
n: 3884740138880878088451318391035628857847875757100450377471785749866027582784229090120536350239689023972297
skew: 14142.07
c0: 3044502550684149668090180
c1: 231292193747730871109
c2: -64181352086227408
c3: 4631205933493
c4: 135327890
c5: 4800
Y0: -363146024668855430046
Y1: 2912390294406203
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.942e-06
# f(x) = 4800*x^5+135327890*x^4+4631205933493*x^3-64181352086227408*x^2+231292193747730871109*x+3044502550684149668090180
# g(x) = 2912390294406203*x-363146024668855430046

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.sieve.ncurves0 = 13
tasks.sieve.ncurves1 = 16
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5776487211920225100542145622465956057636714661352831 672509086640825308767702281649081164839419072129596087
Info:Square Root: Total cpu/real time for sqrt: 63.03/19.3697
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.15/51.3725
Info:Generate Free Relations: Total cpu/real time for freerel: 62.1/16.0634
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5071306
Info:Lattice Sieving: Average J: 1895.5 for 59621 special-q, max bucket fill -bkmult 1.0,1s:1.339710
Info:Lattice Sieving: Total time: 5470.15s
Info:Linear Algebra: Total cpu/real time for bwc: 634.84/166.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 373.93, WCT time 97.14, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 32.54, WCT time 8.32
Info:Linear Algebra: Mksol: CPU time 211.76,  WCT time 54.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.56/0.4349
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.79/21.0353
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 140.24
Info:Polynomial Selection (root optimized): Rootsieve time: 139.62
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.22/73.3323
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.400000000000006s
Info:Filtering - Merging: Merged matrix has 229678 rows and total weight 33303850 (145.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.54/9.36361
Info:Filtering - Merging: Total cpu/real time for replay: 7.25/5.79479
Info:Quadratic Characters: Total cpu/real time for characters: 8.55/3.27154
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11569/29.790/37.426/42.050/0.999
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9216/29.490/33.151/37.780/0.816
Info:Polynomial Selection (size optimized): Total time: 504.22
Info:Square Root: Total cpu/real time for sqrt: 63.03/19.3697
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11395.2/3258.45
Info:root: Cleaning up computation data in /tmp/cado.l7fxvi6v
5776487211920225100542145622465956057636714661352831 672509086640825308767702281649081164839419072129596087
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

13×10160+83

c116

name 名前Eric Jeancolas
date 日付July 7, 2022 10:30:56 UTC 2022 年 7 月 7 日 (木) 19 時 30 分 56 秒 (日本時間)
composite number 合成数
15848329410434337590051124829206740298505884437882902929083315501560968444635442651539720209960590017139576299154379<116>
prime factors 素因数
5671302238767864449726591751710564508023<40>
2794478012844808866002987667315619845369486589030146086989971599694209776973<76>
factorization results 素因数分解の結果
15848329410434337590051124829206740298505884437882902929083315501560968444635442651539720209960590017139576299154379=5671302238767864449726591751710564508023*2794478012844808866002987667315619845369486589030146086989971599694209776973

cado polynomial
n: 15848329410434337590051124829206740298505884437882902929083315501560968444635442651539720209960590017139576299154379
skew: 0.91
type: snfs
c0: 8
c5: 13
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 13*x^5+8
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2794478012844808866002987667315619845369486589030146086989971599694209776973 5671302238767864449726591751710564508023
Info:Square Root: Total cpu/real time for sqrt: 127.34/40.0652
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.37/71.4222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633816
Info:Lattice Sieving: Average J: 1893.89 for 213851 special-q, max bucket fill -bkmult 1.0,1s:1.246910
Info:Lattice Sieving: Total time: 26832s
Info:Linear Algebra: Total cpu/real time for bwc: 2228.82/574.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1382.69, WCT time 352.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12160 iterations)
Info:Linear Algebra: Lingen CPU time 57.89, WCT time 14.76
Info:Linear Algebra: Mksol: CPU time 752.62,  WCT time 192.45, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.34/47.1021
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.52/85.0241
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.0s
Info:Filtering - Merging: Merged matrix has 386745 rows and total weight 65948197 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 79.03/22.1445
Info:Filtering - Merging: Total cpu/real time for replay: 12.48/10.4263
Info:Generate Factor Base: Total cpu/real time for makefb: 1.45/0.792844
Info:Quadratic Characters: Total cpu/real time for characters: 12.75/5.02303
Info:Square Root: Total cpu/real time for sqrt: 127.34/40.0652
Info:Generate Free Relations: Total cpu/real time for freerel: 59.75/16.8427
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51982.5/14478.6
Info:root: Cleaning up computation data in /tmp/cado.js07_zps
2794478012844808866002987667315619845369486589030146086989971599694209776973 5671302238767864449726591751710564508023
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

13×10165+83

c134

name 名前Bob Backstrom
date 日付July 3, 2022 17:31:41 UTC 2022 年 7 月 4 日 (月) 2 時 31 分 41 秒 (日本時間)
composite number 合成数
10029205802568393279247613193721711442830330094576822404050457061631397211366277257774460851070432516328243492272838888426603508775529<134>
prime factors 素因数
188231813889632579595743214250879440580921901792146230844807<60>
53281140925778335002506230384333909951305101000309099252224569506684232847<74>
factorization results 素因数分解の結果
Number: n
N=10029205802568393279247613193721711442830330094576822404050457061631397211366277257774460851070432516328243492272838888426603508775529  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Jul  4 03:25:43 2022  p60 factor: 188231813889632579595743214250879440580921901792146230844807
Mon Jul  4 03:25:43 2022  p74 factor: 53281140925778335002506230384333909951305101000309099252224569506684232847
Mon Jul  4 03:25:43 2022  elapsed time 00:08:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 13x10^165+8 = 43(164)6
#
n: 10029205802568393279247613193721711442830330094576822404050457061631397211366277257774460851070432516328243492272838888426603508775529
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 8
skew: 0.91
# Murphy_E = 4.016e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1044997 hash collisions in 11967241 relations (11685061 unique)
Msieve: matrix is 565605 x 565832 (194.0 MB)

Sieving start time : 2022/07/04 02:21:56
Sieving end time  : 2022/07/04 03:17:03

Total sieving time: 0hrs 55min 7secs.

Total relation processing time: 0hrs 4min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

13×10166+83

c110

name 名前Eric Jeancolas
date 日付June 30, 2022 20:12:35 UTC 2022 年 7 月 1 日 (金) 5 時 12 分 35 秒 (日本時間)
composite number 合成数
15823889131580286089907868346269351911231706420266317117755251796787250050087766189047687185191966151744622723<110>
prime factors 素因数
966802984011725862940750809020176789894977229309949<51>
16367232407495720106277783931560205775820939456042290700927<59>
factorization results 素因数分解の結果
15823889131580286089907868346269351911231706420266317117755251796787250050087766189047687185191966151744622723=966802984011725862940750809020176789894977229309949*16367232407495720106277783931560205775820939456042290700927

cado polynomial
n: 15823889131580286089907868346269351911231706420266317117755251796787250050087766189047687185191966151744622723
skew: 6115.77
c0: 635245712308894328950875
c1: -391946793472782141475
c2: 23833399054727533
c3: 46691325747
c4: -1611928920
c5: -115200
Y0: -768907692010773149628
Y1: 29599174683090241
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.593e-06
# f(x) = -115200*x^5-1611928920*x^4+46691325747*x^3+23833399054727533*x^2-391946793472782141475*x+635245712308894328950875
# g(x) = 29599174683090241*x-768907692010773149628

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

cado log (extracts)
Info:Square Root: Factors: 966802984011725862940750809020176789894977229309949 16367232407495720106277783931560205775820939456042290700927
Info:Square Root: Total cpu/real time for sqrt: 91.14/27.0991
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.97/69.8367
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5191709
Info:Lattice Sieving: Average J: 1898.75 for 86709 special-q, max bucket fill -bkmult 1.0,1s:1.298730
Info:Lattice Sieving: Total time: 8209.11s
Info:Linear Algebra: Total cpu/real time for bwc: 1179.38/305.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 718.52, WCT time 183.77, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 45.28, WCT time 11.52
Info:Linear Algebra: Mksol: CPU time 391.27,  WCT time 100.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.13/16.2975
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.637704
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.48/21.8412
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 258.76
Info:Polynomial Selection (root optimized): Rootsieve time: 257.77
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 83.21/92.0071
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.1s
Info:Filtering - Merging: Merged matrix has 299419 rows and total weight 46646349 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.98/13.7751
Info:Filtering - Merging: Total cpu/real time for replay: 10.08/8.13068
Info:Quadratic Characters: Total cpu/real time for characters: 11.35/4.35954
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11775/31.430/38.755/44.560/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9143/30.910/34.350/39.230/0.880
Info:Polynomial Selection (size optimized): Total time: 697.55
Info:Square Root: Total cpu/real time for sqrt: 91.14/27.0991
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17351.4/4880.61
Info:root: Cleaning up computation data in /tmp/cado.ap48pm6r
966802984011725862940750809020176789894977229309949 16367232407495720106277783931560205775820939456042290700927
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

13×10167+83

c154

name 名前Bob Backstrom
date 日付July 2, 2022 10:27:52 UTC 2022 年 7 月 2 日 (土) 19 時 27 分 52 秒 (日本時間)
composite number 合成数
1128704869838803924465444112488039909822226151029929107019855297918276754518317902160469809854365183733404259794480706319422064535130540911417391687738839<154>
prime factors 素因数
290441120748613415079184718662491304471107482681250305987339761853<66>
3886174474638995950065158919959226073149963540745351060118277197858153207697648293065763<88>
factorization results 素因数分解の結果
Number: n
N=1128704869838803924465444112488039909822226151029929107019855297918276754518317902160469809854365183733404259794480706319422064535130540911417391687738839  ( 154 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jul  2 20:23:52 2022  p66 factor: 290441120748613415079184718662491304471107482681250305987339761853
Sat Jul  2 20:23:52 2022  p88 factor: 3886174474638995950065158919959226073149963540745351060118277197858153207697648293065763
Sat Jul  2 20:23:52 2022  elapsed time 00:11:37 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 13x10^167+8 = 43(166)6
#
n: 1128704869838803924465444112488039909822226151029929107019855297918276754518317902160469809854365183733404259794480706319422064535130540911417391687738839
m: 1000000000000000000000000000000000
deg: 5
c5: 325
c0: 2
skew: 0.36
# Murphy_E = 2.972e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1358123 hash collisions in 13190186 relations (12639606 unique)
Msieve: matrix is 623470 x 623696 (212.6 MB)

Sieving start time : 2022/07/02 19:05:16
Sieving end time  : 2022/07/02 20:12:00

Total sieving time: 1hrs 6min 44secs.

Total relation processing time: 0hrs 6min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

13×10168+83

c158

name 名前Bob Backstrom
date 日付July 7, 2022 11:32:32 UTC 2022 年 7 月 7 日 (木) 20 時 32 分 32 秒 (日本時間)
composite number 合成数
24044861201695914755115660127989426285396552390534179718017162725728616366924013620938714709714872333257601534914608242145911335849835746504242814831265813977<158>
prime factors 素因数
1627097004018832866088838677591518833997332015464993157968790203994478606329<76>
14777767485470464942832505266907383128016193249567933001323401410172759081644377313<83>
factorization results 素因数分解の結果
Number: n
N=24044861201695914755115660127989426285396552390534179718017162725728616366924013620938714709714872333257601534914608242145911335849835746504242814831265813977  ( 158 digits)
SNFS difficulty: 168 digits.
Divisors found:

Thu Jul  7 21:27:34 2022  p76 factor: 1627097004018832866088838677591518833997332015464993157968790203994478606329
Thu Jul  7 21:27:34 2022  p83 factor: 14777767485470464942832505266907383128016193249567933001323401410172759081644377313
Thu Jul  7 21:27:34 2022  elapsed time 00:10:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 13x10^168+8 = 43(167)6
#
n: 24044861201695914755115660127989426285396552390534179718017162725728616366924013620938714709714872333257601534914608242145911335849835746504242814831265813977
m: 1000000000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 2.86e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1103300 hash collisions in 12286064 relations (11962659 unique)
Msieve: matrix is 684334 x 684559 (236.9 MB)

Sieving start time : 2022/07/07 20:25:28
Sieving end time  : 2022/07/07 21:16:39

Total sieving time: 0hrs 51min 11secs.

Total relation processing time: 0hrs 6min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

13×10169+83

c162

name 名前Bob Backstrom
date 日付July 4, 2022 20:14:31 UTC 2022 年 7 月 5 日 (火) 5 時 14 分 31 秒 (日本時間)
composite number 合成数
449700525740041713944028861198590547228531635906182120300065650741982344674337810441072087160319399729222168359630021276508012597924365020782114173068949274583239<162>
prime factors 素因数
763109953935369498481259322284197938147126055221624554790221464653025517<72>
589299777077902529995639112683541887763420075882535710070362519837554801737630240465380867<90>
factorization results 素因数分解の結果
Number: n
N=449700525740041713944028861198590547228531635906182120300065650741982344674337810441072087160319399729222168359630021276508012597924365020782114173068949274583239  ( 162 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue Jul  5 06:11:08 2022  p72 factor: 763109953935369498481259322284197938147126055221624554790221464653025517
Tue Jul  5 06:11:08 2022  p90 factor: 589299777077902529995639112683541887763420075882535710070362519837554801737630240465380867
Tue Jul  5 06:11:08 2022  elapsed time 00:10:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 13x10^169+8 = 43(168)6
#
n: 449700525740041713944028861198590547228531635906182120300065650741982344674337810441072087160319399729222168359630021276508012597924365020782114173068949274583239
m: 5000000000000000000000000000000000
deg: 5
c5: 26
c0: 5
skew: 0.72
# Murphy_E = 2.963e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1101369 hash collisions in 12460246 relations (12156949 unique)
Msieve: matrix is 677794 x 678020 (235.7 MB)

Sieving start time : 2022/07/05 05:06:30
Sieving end time  : 2022/07/05 06:00:24

Total sieving time: 0hrs 53min 54secs.

Total relation processing time: 0hrs 6min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

13×10173+83

c133

name 名前Eric Jeancolas
date 日付July 9, 2022 13:54:55 UTC 2022 年 7 月 9 日 (土) 22 時 54 分 55 秒 (日本時間)
composite number 合成数
1046219321541832036293862715995601839095518894217283195433982129630085682375028361782842751363479132862851193073524091769466178653481<133>
prime factors 素因数
228824894748057637668820451946106386421843672291372929308671<60>
4572139419942693047719889804014296500689143505867357391773650833602321111<73>
factorization results 素因数分解の結果
1046219321541832036293862715995601839095518894217283195433982129630085682375028361782842751363479132862851193073524091769466178653481=228824894748057637668820451946106386421843672291372929308671*4572139419942693047719889804014296500689143505867357391773650833602321111

cado polynomial
n: 1046219321541832036293862715995601839095518894217283195433982129630085682375028361782842751363479132862851193073524091769466178653481
skew: 0.23
type: snfs
c0: 1
c5: 1625
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 1625*x^5+1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 228824894748057637668820451946106386421843672291372929308671 4572139419942693047719889804014296500689143505867357391773650833602321111
Info:Square Root: Total cpu/real time for sqrt: 384.22/117.949
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12031354
Info:Lattice Sieving: Average J: 1892.36 for 531073 special-q, max bucket fill -bkmult 1.0,1s:1.178310
Info:Lattice Sieving: Total time: 71312.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.66/54.2026
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 157.3/152.38
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 61.82/17.4048
Info:Filtering - Merging: Merged matrix has 872085 rows and total weight 148311870 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 198.77/56.104
Info:Filtering - Merging: Total cpu/real time for replay: 32.21/27.045
Info:Linear Algebra: Total cpu/real time for bwc: 11732.1/3019.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7404.92, WCT time 1896.95, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Linear Algebra: Lingen CPU time 155.32, WCT time 39.48
Info:Linear Algebra: Mksol: CPU time 4034.08,  WCT time 1032.89, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/1.38576
Info:Quadratic Characters: Total cpu/real time for characters: 30.76/12.1359
Info:Square Root: Total cpu/real time for sqrt: 384.22/117.949
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.86/122.827
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 144576/39238.1
Info:root: Cleaning up computation data in /tmp/cado.59ixzxk6
228824894748057637668820451946106386421843672291372929308671 4572139419942693047719889804014296500689143505867357391773650833602321111
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

13×10176+83

c176

name 名前Bob Backstrom
date 日付July 8, 2022 19:25:58 UTC 2022 年 7 月 9 日 (土) 4 時 25 分 58 秒 (日本時間)
composite number 合成数
54166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<176>
prime factors 素因数
2585395810120141325173295133105904780509740984049242700795766269391<67>
20951015103621438896194337743660783136131516408578117336732089882543482864041336211290864469041828441696731237<110>
factorization results 素因数分解の結果
Number: n
N=54166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667  ( 176 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Jul  9 05:17:13 2022  p67 factor: 2585395810120141325173295133105904780509740984049242700795766269391
Sat Jul  9 05:17:13 2022  p110 factor: 20951015103621438896194337743660783136131516408578117336732089882543482864041336211290864469041828441696731237
Sat Jul  9 05:17:13 2022  elapsed time 00:22:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 13x10^176+8 = 43(175)6
#
n: 54166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000000000000
deg: 5
c5: 65
c0: 4
skew: 0.57
# Murphy_E = 1.421e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1231673 hash collisions in 11802147 relations (11276813 unique)
Msieve: matrix is 1031683 x 1031909 (360.5 MB)

Sieving start time : 2022/07/09 03:09:12
Sieving end time  : 2022/07/09 04:54:11

Total sieving time: 1hrs 44min 59secs.

Total relation processing time: 0hrs 17min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

13×10177+83

c116

name 名前Eric Jeancolas
date 日付July 2, 2022 19:54:29 UTC 2022 年 7 月 3 日 (日) 4 時 54 分 29 秒 (日本時間)
composite number 合成数
18619242907271395803349168290690185692377763505373688483763595355009843235427497416867213819540471641569189742001043<116>
prime factors 素因数
21216974848941718407718839488671760718296737699<47>
877563509399178324020305557177580553821976818404615842919580696107857<69>
factorization results 素因数分解の結果
18619242907271395803349168290690185692377763505373688483763595355009843235427497416867213819540471641569189742001043=21216974848941718407718839488671760718296737699*877563509399178324020305557177580553821976818404615842919580696107857

cado polynomial
n: 18619242907271395803349168290690185692377763505373688483763595355009843235427497416867213819540471641569189742001043
skew: 8921.99
c0: -22078866760528161121873608
c1: 1428222239565679525482
c2: 82653617042014157
c3: -102638430243613
c4: -1633330570
c5: 538200
Y0: -12817883450639564165891
Y1: 613402963570717
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.018e-06
# f(x) = 538200*x^5-1633330570*x^4-102638430243613*x^3+82653617042014157*x^2+1428222239565679525482*x-22078866760528161121873608
# g(x) = 613402963570717*x-12817883450639564165891

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

cado log (extracts)
Info:Square Root: Factors: 877563509399178324020305557177580553821976818404615842919580696107857 21216974848941718407718839488671760718296737699
Info:Square Root: Total cpu/real time for sqrt: 141.32/42.9863
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21984/33.800/41.128/46.860/1.062
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17420/32.760/36.404/41.640/0.837
Info:Polynomial Selection (size optimized): Total time: 1768.43
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.46/140.505
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 103.50000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 15.85/6.25982
Info:Square Root: Total cpu/real time for sqrt: 141.32/42.9863
Info:Linear Algebra: Total cpu/real time for bwc: 2609.53/673.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1612.65, WCT time 412.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 67.87, WCT time 17.28
Info:Linear Algebra: Mksol: CPU time 891.08,  WCT time 227.89, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.3/116.753
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7360115
Info:Lattice Sieving: Average J: 1902.61 for 165923 special-q, max bucket fill -bkmult 1.0,1s:1.253660
Info:Lattice Sieving: Total time: 18566.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/1.136
Info:Generate Free Relations: Total cpu/real time for freerel: 63.49/16.9062
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.98/33.3609
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 374.28
Info:Polynomial Selection (root optimized): Rootsieve time: 373.19
Info:Filtering - Merging: Merged matrix has 441785 rows and total weight 68739160 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.84/21.5308
Info:Filtering - Merging: Total cpu/real time for replay: 14.81/12.0852
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39406.1/10812.9
Info:root: Cleaning up computation data in /tmp/cado.y2ndhgu1
877563509399178324020305557177580553821976818404615842919580696107857 21216974848941718407718839488671760718296737699
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 10:26:09 UTC 2022 年 7 月 2 日 (土) 19 時 26 分 9 秒 (日本時間)

13×10178+83

c160

name 名前Bob Backstrom
date 日付July 9, 2022 15:31:00 UTC 2022 年 7 月 10 日 (日) 0 時 31 分 0 秒 (日本時間)
composite number 合成数
6082776034640240049738881843985532658967401717234719989240200123562932382731010447670252310759462530591871629139701779843501741798723796335353484985482689813723<160>
prime factors 素因数
1957304031174855363458534265890395950181231<43>
552299601360622037705827593786619885997965720693<48>
5626894932180635551078299264566617009137995040041511592113935436938081<70>
factorization results 素因数分解の結果
Number: n
N=6082776034640240049738881843985532658967401717234719989240200123562932382731010447670252310759462530591871629139701779843501741798723796335353484985482689813723  ( 160 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Jul 10 01:08:52 2022  found factor: 552299601360622037705827593786619885997965720693
Sun Jul 10 01:10:18 2022  p43 factor: 1957304031174855363458534265890395950181231
Sun Jul 10 01:10:18 2022  p48 factor: 552299601360622037705827593786619885997965720693
Sun Jul 10 01:10:18 2022  p70 factor: 5626894932180635551078299264566617009137995040041511592113935436938081
Sun Jul 10 01:10:18 2022  elapsed time 00:28:26 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 13x10^178+8 = 43(177)6
#
n: 6082776034640240049738881843985532658967401717234719989240200123562932382731010447670252310759462530591871629139701779843501741798723796335353484985482689813723
m: 100000000000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 1.143e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1457550 hash collisions in 11777151 relations (10965558 unique)
Msieve: matrix is 1060085 x 1060311 (367.7 MB)

Sieving start time : 2022/07/09 23:36:58
Sieving end time  : 2022/07/10 00:41:36

Total sieving time: 1hrs 4min 38secs.

Total relation processing time: 0hrs 18min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 10sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

13×10180+83

c167

name 名前Bob Backstrom
date 日付July 14, 2022 17:52:58 UTC 2022 年 7 月 15 日 (金) 2 時 52 分 58 秒 (日本時間)
composite number 合成数
31770614638687441519767868827328635559187706979810719259279675299920271273655567369549548507117547948460346755329903934572388035498071453598388039544863014610018774377<167>
prime factors 素因数
756260718782908756433022804109811253344095748501219<51>
42010134666015191907421129785402399048848638307310976740465548069845583218315598942529521334548292648724130539042883<116>
factorization results 素因数分解の結果
Number: n
N=31770614638687441519767868827328635559187706979810719259279675299920271273655567369549548507117547948460346755329903934572388035498071453598388039544863014610018774377  ( 167 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jul 15 03:40:51 2022  p51 factor: 756260718782908756433022804109811253344095748501219
Fri Jul 15 03:40:51 2022  p116 factor: 42010134666015191907421129785402399048848638307310976740465548069845583218315598942529521334548292648724130539042883
Fri Jul 15 03:40:51 2022  elapsed time 00:19:57 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 13x10^180+8 = 43(179)6
#
n: 31770614638687441519767868827328635559187706979810719259279675299920271273655567369549548507117547948460346755329903934572388035498071453598388039544863014610018774377
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: 8
skew: 0.91
# Murphy_E = 1.012e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2974586 hash collisions in 29202201 relations (28044311 unique)
Msieve: matrix is 836010 x 836235 (284.0 MB)

Sieving start time : 2022/07/15 01:32:49
Sieving end time  : 2022/07/15 03:20:23

Total sieving time: 1hrs 47min 34secs.

Total relation processing time: 0hrs 10min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

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

13×10181+83

c168

name 名前Bob Backstrom
date 日付July 14, 2022 09:41:10 UTC 2022 年 7 月 14 日 (木) 18 時 41 分 10 秒 (日本時間)
composite number 合成数
379879565347939852577122606940992153969792475937187706559755093322202224660183318876729737414977015298454828722872250602828994769348762269978508645517983445940014862449<168>
prime factors 素因数
26049278030472232422509957329215447222540083670513796110884071369<65>
14583113010025070310659277505712499190667230844250192840039293119976546569003782152411624837575541737321<104>
factorization results 素因数分解の結果
Number: n
N=379879565347939852577122606940992153969792475937187706559755093322202224660183318876729737414977015298454828722872250602828994769348762269978508645517983445940014862449  ( 168 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Jul 14 19:37:08 2022  p65 factor: 26049278030472232422509957329215447222540083670513796110884071369
Thu Jul 14 19:37:08 2022  p104 factor: 14583113010025070310659277505712499190667230844250192840039293119976546569003782152411624837575541737321
Thu Jul 14 19:37:08 2022  elapsed time 00:20:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 13x10^181+8 = 43(180)6
#
n: 379879565347939852577122606940992153969792475937187706559755093322202224660183318876729737414977015298454828722872250602828994769348762269978508645517983445940014862449
m: 1000000000000000000000000000000000000
deg: 5
c5: 65
c0: 4
skew: 0.57
# Murphy_E = 8.929e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3098491 hash collisions in 28806988 relations (27449560 unique)
Msieve: matrix is 887357 x 887584 (304.5 MB)

Sieving start time : 2022/07/14 16:36:35
Sieving end time  : 2022/07/14 19:15:25

Total sieving time: 2hrs 38min 50secs.

Total relation processing time: 0hrs 12min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 10, 2022 11:26:39 UTC 2022 年 7 月 10 日 (日) 20 時 26 分 39 秒 (日本時間)

13×10184+83

c177

name 名前Bob Backstrom
date 日付July 7, 2022 20:16:12 UTC 2022 年 7 月 8 日 (金) 5 時 16 分 12 秒 (日本時間)
composite number 合成数
201786742755045683711412771322609529005776353506928791743328554650735522611458707919377143805638115307849021246753235787014179945569236862282957092948673412354015207865863299627<177>
prime factors 素因数
3496887380213425177660393363604106421109047<43>
57704672989134140667370281505309389591149036930439023139545399653635386864788381820329701590955073994953466669146635090797641111892141<134>
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 201786742755045683711412771322609529005776353506928791743328554650735522611458707919377143805638115307849021246753235787014179945569236862282957092948673412354015207865863299627 (177 digits)
Using B1=21260000, B2=96186180106, polynomial Dickson(12), sigma=1:2301772049
Step 1 took 57404ms
Step 2 took 21427ms
********** Factor found in step 2: 3496887380213425177660393363604106421109047
Found prime factor of 43 digits: 3496887380213425177660393363604106421109047
Prime cofactor 57704672989134140667370281505309389591149036930439023139545399653635386864788381820329701590955073994953466669146635090797641111892141 has 134 digits

ECM

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

13×10187+83

c177

name 名前Bob Backstrom
date 日付July 10, 2022 22:15:32 UTC 2022 年 7 月 11 日 (月) 7 時 15 分 32 秒 (日本時間)
composite number 合成数
517541971569683681828998994054497927160339122865581654662866175132303428765522762434475981222037193939431492528930460296261399437311061905910610893191931937588671180595063880271<177>
prime factors 素因数
2664829454630910321658189936622618746964317415685895037841271816852303<70>
194212042601940296461881854589924712758997692725862012214231843450387529358959332772184182332153589149133057<108>
factorization results 素因数分解の結果
Number: n
N=517541971569683681828998994054497927160339122865581654662866175132303428765522762434475981222037193939431492528930460296261399437311061905910610893191931937588671180595063880271  ( 177 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Jul 11 07:59:05 2022  p70 factor: 2664829454630910321658189936622618746964317415685895037841271816852303
Mon Jul 11 07:59:05 2022  p108 factor: 194212042601940296461881854589924712758997692725862012214231843450387529358959332772184182332153589149133057
Mon Jul 11 07:59:05 2022  elapsed time 00:31:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 13x10^187+8 = 43(186)6
#
n: 517541971569683681828998994054497927160339122865581654662866175132303428765522762434475981222037193939431492528930460296261399437311061905910610893191931937588671180595063880271
m: 10000000000000000000000000000000000000
deg: 5
c5: 325
c0: 2
skew: 0.36
# Murphy_E = 4.669e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3189444 hash collisions in 28587843 relations (27091234 unique)
Msieve: matrix is 1123959 x 1124185 (389.2 MB)

Sieving start time : 2022/07/11 03:17:32
Sieving end time  : 2022/07/11 07:27:30

Total sieving time: 4hrs 9min 58secs.

Total relation processing time: 0hrs 21min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 42sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 10, 2022 10:26:06 UTC 2022 年 7 月 10 日 (日) 19 時 26 分 6 秒 (日本時間)

13×10189+83

c138

name 名前Ignacio Santos
date 日付July 9, 2022 22:11:46 UTC 2022 年 7 月 10 日 (日) 7 時 11 分 46 秒 (日本時間)
composite number 合成数
863376713217083041019611861529324643907771429237005835111328562611275374572912655845751434904582937200670736762240402873985638491261744217<138>
prime factors 素因数
27322248878466199214739735446655245257<38>
31599767539543428289194523645132675521441439734248975694266385362601775679165501708425354841920011281<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1483727349
Step 1 took 5937ms
Step 2 took 3329ms
********** Factor found in step 2: 27322248878466199214739735446655245257
Found prime factor of 38 digits: 27322248878466199214739735446655245257
Prime cofactor 31599767539543428289194523645132675521441439734248975694266385362601775679165501708425354841920011281 has 101 digits
 
software ソフトウェア
GMP-ECM

ECM

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

13×10192+83

c159

name 名前Bob Backstrom
date 日付July 13, 2022 13:03:19 UTC 2022 年 7 月 13 日 (水) 22 時 3 分 19 秒 (日本時間)
composite number 合成数
106044085456947289471602573026611192972619133760196428397194587840124567843138525135958939974012235477568157596105022462188485670437134181897888040846545157533<159>
prime factors 素因数
27564830672622737722387644914666161147286609131<47>
3847079153737366667962355508107911237975517834883262438831511408200165954057436993426148932595646437860607937943<112>
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 106044085456947289471602573026611192972619133760196428397194587840124567843138525135958939974012235477568157596105022462188485670437134181897888040846545157533 (159 digits)
Using B1=25630000, B2=96191014936, polynomial Dickson(12), sigma=1:1262816148
Step 1 took 58785ms
Step 2 took 18802ms
********** Factor found in step 2: 27564830672622737722387644914666161147286609131
Found prime factor of 47 digits: 27564830672622737722387644914666161147286609131
Prime cofactor 3847079153737366667962355508107911237975517834883262438831511408200165954057436993426148932595646437860607937943 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 12, 2022 11:40:49 UTC 2022 年 7 月 12 日 (火) 20 時 40 分 49 秒 (日本時間)

13×10193+83

c183

name 名前Bob Backstrom
date 日付July 15, 2022 20:29:17 UTC 2022 年 7 月 16 日 (土) 5 時 29 分 17 秒 (日本時間)
composite number 合成数
258379566303344182012857420345462438047882800769360365070404770539456068703237727621744923727537472702997212911564503864033269930760899174750056571454753839803543247433260755227081341<183>
prime factors 素因数
114643735851693234015693418614369452560260821848894819971986535571969055461<75>
2253760873926789759598414670490156820636055753701232694553382191866082170993794767242450932559958904256049081<109>
factorization results 素因数分解の結果
Number: n
N=258379566303344182012857420345462438047882800769360365070404770539456068703237727621744923727537472702997212911564503864033269930760899174750056571454753839803543247433260755227081341  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Jul 13 17:26:02 2022  p75 factor: 114643735851693234015693418614369452560260821848894819971986535571969055461
Wed Jul 13 17:26:02 2022  p109 factor: 2253760873926789759598414670490156820636055753701232694553382191866082170993794767242450932559958904256049081
Wed Jul 13 17:26:02 2022  elapsed time 00:49:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 13x10^193+8 = 43(192)6
#
n: 258379566303344182012857420345462438047882800769360365070404770539456068703237727621744923727537472702997212911564503864033269930760899174750056571454753839803543247433260755227081341
m: 100000000000000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 2.792e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3219699 hash collisions in 28211603 relations (26631336 unique)
Msieve: matrix is 1449350 x 1449575 (502.9 MB)

Sieving start time : 2022/07/13 11:34:54
Sieving end time  : 2022/07/13 16:36:04

Total sieving time: 5hrs 1min 10secs.

Total relation processing time: 0hrs 39min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 12, 2022 14:07:55 UTC 2022 年 7 月 12 日 (火) 23 時 7 分 55 秒 (日本時間)

13×10195+83

c190

name 名前Bob Backstrom
date 日付July 20, 2022 05:48:28 UTC 2022 年 7 月 20 日 (水) 14 時 48 分 28 秒 (日本時間)
composite number 合成数
6739746253737966960726980137449348214693061586764382618505476821494191375613316909090154993426155192507890687537068604395558818283998390755971415180811838727204104401780122518218052565873243<190>
prime factors 素因数
49201934510052148553755654521212114135136596279712461647536667<62>
136981326463109094176557364627153946010220516523924828488358904101449641673140015130146089269022087772339325535857836009844929729<129>
factorization results 素因数分解の結果
Number: n
N=6739746253737966960726980137449348214693061586764382618505476821494191375613316909090154993426155192507890687537068604395558818283998390755971415180811838727204104401780122518218052565873243  ( 190 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Jul 20 15:33:57 2022  p62 factor: 49201934510052148553755654521212114135136596279712461647536667
Wed Jul 20 15:33:57 2022  p129 factor: 136981326463109094176557364627153946010220516523924828488358904101449641673140015130146089269022087772339325535857836009844929729
Wed Jul 20 15:33:57 2022  elapsed time 00:59:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 13x10^195+8 = 43(194)6
#
n: 6739746253737966960726980137449348214693061586764382618505476821494191375613316909090154993426155192507890687537068604395558818283998390755971415180811838727204104401780122518218052565873243
m: 1000000000000000000000000000000000000000
deg: 5
c5: 13
c0: 8
skew: 0.91
# Murphy_E = 2.449e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3263612 hash collisions in 28302616 relations (26675987 unique)
Msieve: matrix is 1563238 x 1563464 (543.0 MB)

Sieving start time : 2022/07/20 09:37:22
Sieving end time  : 2022/07/20 14:34:08

Total sieving time: 4hrs 56min 46secs.

Total relation processing time: 0hrs 47min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] 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)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

ECM

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

13×10196+83

c178

name 名前Bob Backstrom
date 日付July 25, 2022 18:43:00 UTC 2022 年 7 月 26 日 (火) 3 時 43 分 0 秒 (日本時間)
composite number 合成数
6075588361949994064944405072774100243167693887014722331854195776832703683085306784283407301736348623922373608084847338820491315928863263079181442342970344458310294320741906862557<178>
prime factors 素因数
1969439320921919576608053801875228416360785502375797447232769741252443334605051<79>
3084933004742656369503094962795788673370252666357560838432441441475131660296879683785975164845267207<100>
factorization results 素因数分解の結果
Number: n
N=6075588361949994064944405072774100243167693887014722331854195776832703683085306784283407301736348623922373608084847338820491315928863263079181442342970344458310294320741906862557  ( 178 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Jul 26 04:37:36 2022  p79 factor: 1969439320921919576608053801875228416360785502375797447232769741252443334605051
Tue Jul 26 04:37:36 2022  p100 factor: 3084933004742656369503094962795788673370252666357560838432441441475131660296879683785975164845267207
Tue Jul 26 04:37:36 2022  elapsed time 01:08:52 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 13x10^196+8 = 43(195)6
#
n: 6075588361949994064944405072774100243167693887014722331854195776832703683085306784283407301736348623922373608084847338820491315928863263079181442342970344458310294320741906862557
m: 1000000000000000000000000000000000000000
deg: 5
c5: 65
c0: 4
skew: 0.57
# Murphy_E = 2.159e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3345944 hash collisions in 28519167 relations (26812635 unique)
Msieve: matrix is 1651440 x 1651665 (577.7 MB)

Sieving start time : 2022/07/25 19:42:22
Sieving end time  : 2022/07/26 03:27:49

Total sieving time: 7hrs 45min 27secs.

Total relation processing time: 0hrs 54min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 19sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
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 JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

13×10197+83

c183

name 名前Bob Backstrom
date 日付July 26, 2022 03:19:47 UTC 2022 年 7 月 26 日 (火) 12 時 19 分 47 秒 (日本時間)
composite number 合成数
972606583088700034303564816608887859907322821945376800587882163639295152017536232707852408150163882538792055702529241324224585562947824340696092037535080584235471826440896036371443979<183>
prime factors 素因数
9946817593402149127523510203885650905867<40>
97780679494297992939607422216075129381704099180143170317748413099610357695110043048442393036447737151980042265495688192048812149101960865460737<143>
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 972606583088700034303564816608887859907322821945376800587882163639295152017536232707852408150163882538792055702529241324224585562947824340696092037535080584235471826440896036371443979 (183 digits)
Using B1=23390000, B2=96188942866, polynomial Dickson(12), sigma=1:450169888
Step 1 took 64015ms
Step 2 took 22283ms
********** Factor found in step 2: 9946817593402149127523510203885650905867
Found prime factor of 40 digits: 9946817593402149127523510203885650905867
Prime cofactor 97780679494297992939607422216075129381704099180143170317748413099610357695110043048442393036447737151980042265495688192048812149101960865460737 has 143 digits

ECM

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

13×10202+83

c151

composite cofactor 合成数の残り
1657153660171622594949414980383927994776009846794947684691741688435618361019991657954438604192645562289156032867524958309996269321877779486773367303741<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaJuly 31, 2022 02:47:24 UTC 2022 年 7 月 31 日 (日) 11 時 47 分 24 秒 (日本時間)

13×10203+83

c164

composite cofactor 合成数の残り
32071018231841074823703579712121314051357160637026818607629557598533167480848511487137042462589648289369047290907718775137660985237894555730168660677880685599310247<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaJuly 31, 2022 04:22:13 UTC 2022 年 7 月 31 日 (日) 13 時 22 分 13 秒 (日本時間)

13×10204+83

c203

composite cofactor 合成数の残り
77380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 31, 2022 09:26:18 UTC 2022 年 7 月 31 日 (日) 18 時 26 分 18 秒 (日本時間)

13×10205+83

c141

name 名前Ignacio Santos
date 日付June 29, 2022 17:03:19 UTC 2022 年 6 月 30 日 (木) 2 時 3 分 19 秒 (日本時間)
composite number 合成数
172435355666201182225175599656763939268703578317237161658184075872952847324223099082810721447343129357841442074246270101907100765611010866699<141>
prime factors 素因数
7479283184040678962452115513698661543263<40>
composite cofactor 合成数の残り
23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4195788268
Step 1 took 3500ms
Step 2 took 2704ms
********** Factor found in step 2: 7479283184040678962452115513698661543263
Found prime factor of 40 digits: 7479283184040678962452115513698661543263
Composite cofactor 23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573 has 101 digits
 
software ソフトウェア
GMP-ECM

c101

name 名前Dmitry Domanov
date 日付June 30, 2022 15:06:57 UTC 2022 年 7 月 1 日 (金) 0 時 6 分 57 秒 (日本時間)
composite number 合成数
23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573<101>
prime factors 素因数
657191959673361101857904335583028806388763549<45>
35081172382526917620112555640320153769235219928049498777<56>
factorization results 素因数分解の結果
N=23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573
  ( 101 digits)
Divisors found:
p45 factor: 657191959673361101857904335583028806388763549
p56 factor: 35081172382526917620112555640320153769235219928049498777
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.65 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573
skew: 505596.53
c0: 120308940673924353569933733
c1: -799594950994639975068
c2: -7612755821231552
c3: 8160584311
c4: 10920
Y0: -1205412486653743361674330
Y1: 3558317951899
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202634 x 202860
Total sieving time: 1.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 1.65 hours.
 --------- CPU info (if available) ----------

ECM

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

13×10206+83

c203

composite cofactor 合成数の残り
30482085912586756706058900769086475332958169199024573250797223785406115175389232789345338585631213655974488838867004314387544550740949165259801163008816357156255861939598574376289626711686362783717876571<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaJuly 31, 2022 05:42:31 UTC 2022 年 7 月 31 日 (日) 14 時 42 分 31 秒 (日本時間)

13×10207+83

c131

name 名前Ignacio Santos
date 日付July 3, 2022 16:42:53 UTC 2022 年 7 月 4 日 (月) 1 時 42 分 53 秒 (日本時間)
composite number 合成数
68266591270448366877047149180618073316277664364812185022606483738155693288050457360270035854695868871252758404578409393770283249213<131>
prime factors 素因数
3521594805813354799982628928338581989397978963<46>
19385135154605435690020225517678697087911826169607710383559899168812962843134956296751<86>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4160390634
Step 1 took 17672ms
Step 2 took 9422ms
********** Factor found in step 2: 3521594805813354799982628928338581989397978963
Found prime factor of 46 digits: 3521594805813354799982628928338581989397978963
Prime cofactor 19385135154605435690020225517678697087911826169607710383559899168812962843134956296751 has 86 digits
 
-
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 13:11:07 UTC 2022 年 7 月 2 日 (土) 22 時 11 分 7 秒 (日本時間)

13×10209+83

c191

composite cofactor 合成数の残り
51841604398611795544687461477757445118476180792483375043461052344911929992019990898708309075371723299830599444180943991344202660838381273455313077483760106703000785180798557749891510407444621<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaJuly 31, 2022 21:48:28 UTC 2022 年 8 月 1 日 (月) 6 時 48 分 28 秒 (日本時間)

13×10210+83

c165

composite cofactor 合成数の残り
738420006083698256592038724711499844454524201179044360532839962015964219451645032142491715500561692275037684894638598502905779976164673012904171049015378793095419817<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaJuly 31, 2022 23:06:08 UTC 2022 年 8 月 1 日 (月) 8 時 6 分 8 秒 (日本時間)

13×10212+83

c189

composite cofactor 合成数の残り
721111100016327496989250591676457988784506540520029682875322930757381430125272786266062594707442908775980308601884146895816935055687359974709136188232030942940178721343621601272801381316779<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 1, 2022 21:28:44 UTC 2022 年 8 月 2 日 (火) 6 時 28 分 44 秒 (日本時間)

13×10213+83

c149

composite cofactor 合成数の残り
18322204999952756986164354565237151280181283901208498715781961548099339876691864222447779058966012931319684952291541210347479480264432917986006192739<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaAugust 1, 2022 12:54:46 UTC 2022 年 8 月 1 日 (月) 21 時 54 分 46 秒 (日本時間)

13×10214+83

c203

composite cofactor 合成数の残り
46873434188018252782483118888634044450071000334909063289178240483068559044155829074709581086882884659478109337716117902878515062998783850753477657259504376408915697643647318727512563460799448324018024767<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62080ebinaAugust 1, 2022 21:28:08 UTC 2022 年 8 月 2 日 (火) 6 時 28 分 8 秒 (日本時間)

13×10215+83

c200

composite cofactor 合成数の残り
78763811388858875797787229579338301980865826176087044112155695323748780921000305353626870541794076954843420098868085198167065242987160923500658491269469149762180424839825447639717339433340412878485671<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 07:35:08 UTC 2022 年 8 月 2 日 (火) 16 時 35 分 8 秒 (日本時間)

13×10216+83

c179

composite cofactor 合成数の残り
17221785295661650590692651063498537637473669022846626780398661283418856358656092107610936466005066461380615610133706915558595543460735332136904346678102487256450542665574077410777<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 05:50:11 UTC 2022 年 8 月 2 日 (火) 14 時 50 分 11 秒 (日本時間)

13×10217+83

c185

composite cofactor 合成数の残り
18365679476581101742048688346943236527010029555194284596875756753392053134115804472590039763921918478683446066955696442870565488070416108488232991968022469495498860107736603907804746123<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 06:20:22 UTC 2022 年 8 月 2 日 (火) 15 時 20 分 22 秒 (日本時間)

13×10218+83

c195

composite cofactor 合成数の残り
421381790843509465813030625092062235849025782993021357547045678309180637773277364232177554814283427485452658822522103314057417003768738814168071799112209074361290808558441123768527003778719266891<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 07:36:09 UTC 2022 年 8 月 2 日 (火) 16 時 36 分 9 秒 (日本時間)

13×10221+83

c173

composite cofactor 合成数の残り
31252970755769939456162813864232582652430585155027841285195334001704907778148037094283320878613483415770514834687023350518714454513204268176224694467141975014481889873610797<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 05:02:41 UTC 2022 年 8 月 2 日 (火) 14 時 2 分 41 秒 (日本時間)

13×10223+83

c209

composite cofactor 合成数の残り
32655392200224047873835500287962905406694916464336854131499482504876822106798299293082896551077757539649838233262815743533801955528920341991467771627267821421970466707939509831881692504143863911167542981339221<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 07:37:04 UTC 2022 年 8 月 2 日 (火) 16 時 37 分 4 秒 (日本時間)

13×10224+83

c210

composite cofactor 合成数の残り
227837822877336424009670656229733020225967606105788822352414378565174918538427606688254554429860280901361295779425401515595157435873502670432679854222995391338068922761657788868368457515626034444063727310027451<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 20:56:50 UTC 2022 年 8 月 3 日 (水) 5 時 56 分 50 秒 (日本時間)

13×10225+83

c204

name 名前ebina
date 日付August 2, 2022 12:07:20 UTC 2022 年 8 月 2 日 (火) 21 時 7 分 20 秒 (日本時間)
composite number 合成数
271711092367060390078657336111972370321859265956082132166670319497595718334632788595780258906845670937099372767068525968134117270044479446516783324393365842535640864530467729813915380309287622801373707699<204>
prime factors 素因数
260749999774380669203508221449442359<36>
1042036788503026013292561853091074720693814462904813358896431427988296557938340717898054887539063333776640614301433279248333092691773704651681536934572587786639044828261<169>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3418357787 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 271711092367060390078657336111972370321859265956082132166670319497595718334632788595780258906845670937099372767068525968134117270044479446516783324393365842535640864530467729813915380309287622801373707699 (204 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3418357787
Step 1 took 10407ms
Step 2 took 7187ms
********** Factor found in step 2: 260749999774380669203508221449442359
Found probable prime factor of 36 digits: 260749999774380669203508221449442359
Probable prime cofactor 1042036788503026013292561853091074720693814462904813358896431427988296557938340717898054887539063333776640614301433279248333092691773704651681536934572587786639044828261 has 169 digits

ECM

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

13×10226+83

c157

composite cofactor 合成数の残り
3968489193947172841945423601781945574678603718303496339530874051670950655383709576602333711687655913145345000850480602614572047148625971907855939836738455323<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 20:58:34 UTC 2022 年 8 月 3 日 (水) 5 時 58 分 34 秒 (日本時間)

13×10229+83

c204

composite cofactor 合成数の残り
345956754041938542395585115225590768098132394332813094023325709675400367342063693790655357328885250726851546127541773158483815882509925904595925683613483441586695500943881222677783982458958488738290428271<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 20:59:18 UTC 2022 年 8 月 3 日 (水) 5 時 59 分 18 秒 (日本時間)

13×10230+83

c193

composite cofactor 合成数の残り
2076489892691416457257806647960795505941516841997469507033119455828663994553027152152027406873602106122731096693024506177325719784329259727092791369227277054643578726252282977482218371019830151<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 21:00:11 UTC 2022 年 8 月 3 日 (水) 6 時 0 分 11 秒 (日本時間)

13×10231+83

c171

name 名前ebina
date 日付August 2, 2022 20:55:18 UTC 2022 年 8 月 3 日 (水) 5 時 55 分 18 秒 (日本時間)
composite number 合成数
160542793688344418521951475457865950641637030956881259545314421365384289087235794357820396827558389950960254977486774320879706137216393970176511142163765111049134447931217<171>
prime factors 素因数
5732080564800533257619543044447521647101<40>
composite cofactor 合成数の残り
28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517<131>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4039852946 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 160542793688344418521951475457865950641637030956881259545314421365384289087235794357820396827558389950960254977486774320879706137216393970176511142163765111049134447931217 (171 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4039852946
Step 1 took 4656ms
Step 2 took 4110ms
********** Factor found in step 2: 5732080564800533257619543044447521647101
Found probable prime factor of 40 digits: 5732080564800533257619543044447521647101
Composite cofactor 28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e638331483ebinaAugust 2, 2022 20:54:34 UTC 2022 年 8 月 3 日 (水) 5 時 54 分 34 秒 (日本時間)
2350Ignacio SantosAugust 4, 2022 07:59:12 UTC 2022 年 8 月 4 日 (木) 16 時 59 分 12 秒 (日本時間)
4511e64480Ignacio SantosAugust 4, 2022 08:46:03 UTC 2022 年 8 月 4 日 (木) 17 時 46 分 3 秒 (日本時間)

13×10232+83

c193

composite cofactor 合成数の残り
8470068447926096779039422027192453904555563871682582554301580696224051792355214859808844547614321891866140310658471313707082489236680645874492608023290572169058950022342163408369614314616850421<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 21:01:37 UTC 2022 年 8 月 3 日 (水) 6 時 1 分 37 秒 (日本時間)

13×10234+83

c232

composite cofactor 合成数の残り
4551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232493<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62078ebinaAugust 2, 2022 21:02:23 UTC 2022 年 8 月 3 日 (水) 6 時 2 分 23 秒 (日本時間)

13×10238+83

c229

composite cofactor 合成数の残り
1099079107499984190338850439842798078126573098188075883621829617398916498854246587493272865661279379458512851698353847462596777786710168409826726213225207632450121485586395930167879870394911574369230453255801238664900159359997857<229>

ECM

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

13×10239+83

c208

composite cofactor 合成数の残り
1950916041509075991582941346897584171477948267583288473295456284261920506524876581109843795790416479288922645450575507866140961513414960811886672247571685290906242408908480898052191425928108289085933535053041<208>

ECM

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

13×10240+83

c198

composite cofactor 合成数の残り
191615127457477574844118976543960814358049038473339726265174989430382776202878949056957250280183479812606186644990361578060472867147153288981322114694109900061292558107600459416549824891203370784523<198>

ECM

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

13×10241+83

c226

composite cofactor 合成数の残り
2886944586004310503899847785913673161754413984719564113347478186081428225684774032588073486158148283508259535950404929837149416710984988771413498012562106080627927263179283665933072913389904766264621672809342863635890753672597<226>

ECM

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

13×10242+83

c203

composite cofactor 合成数の残り
34499026157833299647168248697478616382353366521261060346899790592516611111184582313939409884856296850518950312575115143830061913321335406624958220402362220610499073507822929159171559172150510815311129799<203>

ECM

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

13×10243+83

c217

composite cofactor 合成数の残り
6632135954723023915471375924637843174429373261852266960950076188327680214132927655188688108303201246212519276257594757480399289411645728781094050603051105079748644830475941075123704238206079373227409604572262202746589<217>

ECM

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

13×10244+83

c182

composite cofactor 合成数の残り
23961178937014452530160384578091226975807771506741804298930405060574696707305278935799990837911800001534712924738334523520607108613023906834890777997499302521192310755734760442030809<182>

ECM

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

13×10246+83

c191

composite cofactor 合成数の残り
27796134663601082608061061549997971134047435268716244206915435989445928688084000710835172760717258890504149316999119251755530155007605151635100876840558297560550004255549307828007248437869701<191>

ECM

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

13×10248+83

c202

composite cofactor 合成数の残り
1547430508129437264169809789282977237121242270945330582040224253278327111527866773187711416873225485505979031587492659839217876478705919457946722477134022909181578973621564831803744333137065702632504227<202>

ECM

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

13×10249+83

c177

composite cofactor 合成数の残り
510611717739539806891106606292245525000972526862440432327129827537710697893038937704610100493510626453078145724032986635159136314549232175467486221302545576390831041851715926607<177>

ECM

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

13×10252+83

c215

composite cofactor 合成数の残り
78715041657468093782177337587318589848609542425991354895559735171899349778199560468131146133325869772029484364351290188846142538243032197822582678153052625573987551242824670808317552095219360210621505109908838905977<215>

ECM

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

13×10253+83

c205

composite cofactor 合成数の残り
6432617136645885368652651157864837297923399046212662553145871963175729902475853575915231280375587722312005340677482214613489178375910577421946462620759949754674996028475780610620422639866717320947414805703<205>

ECM

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

13×10254+83

c181

composite cofactor 合成数の残り
1602815054372844369579011155018972990703641430498718229860318459383402020168192456342655186017495748057284874332905051276035456086141489227721389098458285707305353712014123098662899<181>

ECM

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

13×10255+83

c253

composite cofactor 合成数の残り
9180790960451977401129943502824858757062146892655367231638418079096045197740112994350282485875706214689265536723163841807909604519774011299435028248587570621468926553672316384180790960451977401129943502824858757062146892655367231638418079096045197740113<253>

ECM

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

13×10256+83

c222

composite cofactor 合成数の残り
134380637120538992206737358603556604767173399088345361023306058086226979327887225267668658543217396994588689217800203845901811575465907132580803988621138680200301442148644513905111542398112825607757863523796498044983124777<222>

ECM

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

13×10259+83

c246

composite cofactor 合成数の残り
233861575997332270541789386140897486579049621698394536601004553070946903843975101173660465538890692174149962358483932291646994902121467568411794773544222861036980703319321535274416850199445263861953764103704697706005983168588844753876421430887447<246>

ECM

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

13×10260+83

c136

name 名前Ignacio Santos
date 日付July 3, 2022 13:50:47 UTC 2022 年 7 月 3 日 (日) 22 時 50 分 47 秒 (日本時間)
composite number 合成数
4368446125423066095539572377216650352858632959274465696172079238167650657044156653620631757981296331689639555120750916717449662474038141<136>
prime factors 素因数
5670326849847004142232387687289064117149159<43>
770404641760806930297839376104811421293692514465642799668142636654238316556673168636103464699<93>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1910678512
Step 1 took 21781ms
Step 2 took 10609ms
********** Factor found in step 2: 5670326849847004142232387687289064117149159
Found prime factor of 43 digits: 5670326849847004142232387687289064117149159
Prime cofactor 770404641760806930297839376104811421293692514465642799668142636654238316556673168636103464699 has 93 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 13:13:26 UTC 2022 年 7 月 2 日 (土) 22 時 13 分 26 秒 (日本時間)

13×10262+83

c226

composite cofactor 合成数の残り
3361652924797738541030474853902943728080510344106939742556066575025326218690072957644994664757439393270727966216210754760560829188876602062834177085339337351666811369837654986118769701221400631062994659756357553008053163157699<226>

ECM

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

13×10264+83

c194

composite cofactor 合成数の残り
12203546416493014082386029037094352505569789073179497576492310351622204145616355989539587161770106115486151469182766689567465430329683816701604874991336006823443776802342397890594201580428820627<194>

ECM

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

13×10265+83

c259

composite cofactor 合成数の残り
5426559284241839540148357121699524900560388254454537288142951266826090629884946924910779016814319170514514626831380272904170970345606707694794276632968568366799341866890007149700570807248280281620060036112499753717694022870359331728407553636946820720840759371<259>

ECM

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

13×10266+83

c171

name 名前Ignacio Santos
date 日付June 29, 2022 19:25:47 UTC 2022 年 6 月 30 日 (木) 4 時 25 分 47 秒 (日本時間)
composite number 合成数
192583547480511929398239593801956190246197940881984178538479907800393593526435315095228224455236404073288025106301933243870223018755274334792578957456995740368465448044999<171>
prime factors 素因数
6699501373896676294309296903709540439143<40>
composite cofactor 合成数の残り
28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2174668630
Step 1 took 3922ms
********** Factor found in step 2: 6699501373896676294309296903709540439143
Found prime factor of 40 digits: 6699501373896676294309296903709540439143
Composite cofactor 28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993 has 131 digits
software ソフトウェア
GMP-ECM

c131

name 名前Eric Jeancolas
date 日付July 7, 2022 17:26:36 UTC 2022 年 7 月 8 日 (金) 2 時 26 分 36 秒 (日本時間)
composite number 合成数
28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993<131>
prime factors 素因数
83103893554682454249575409406773530068233780896579495033<56>
345903797679261011389078806461744478161287784103508205402225935107358998121<75>
factorization results 素因数分解の結果
28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993=83103893554682454249575409406773530068233780896579495033*345903797679261011389078806461744478161287784103508205402225935107358998121

cado polynomial
n: 28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993
skew: 96785.112
c0: -270310347614869372254214146825
c1: -73140460034472296171518578
c2: -2596533281923239599917
c3: 8991832278067060
c4: -24548110428
c5: 452880
Y0: -11375169080126218340896612
Y1: 36032688911770573
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.235e-07
# f(x) = 452880*x^5-24548110428*x^4+8991832278067060*x^3-2596533281923239599917*x^2-73140460034472296171518578*x-270310347614869372254214146825
# g(x) = 36032688911770573*x-11375169080126218340896612

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 83103893554682454249575409406773530068233780896579495033 345903797679261011389078806461744478161287784103508205402225935107358998121
Info:Square Root: Total cpu/real time for sqrt: 2677.09/1648.16
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 387/361.697
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 311.79999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 253.54/282.296
Info:Linear Algebra: Total cpu/real time for bwc: 50421.8/12949.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32273.97, WCT time 8246.51, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 343.6, WCT time 87.27
Info:Linear Algebra: Mksol: CPU time 17476.71,  WCT time 4484.09, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24351844
Info:Lattice Sieving: Average J: 7738 for 70937 special-q, max bucket fill -bkmult 1.0,1s:1.077570
Info:Lattice Sieving: Total time: 99567.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.62/38.7978
Info:Generate Free Relations: Total cpu/real time for freerel: 256.31/125.416
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5682.15
Info:Polynomial Selection (root optimized): Rootsieve time: 5679.57
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.66/122.205
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.79999999999998s
Info:Filtering - Merging: Merged matrix has 1755060 rows and total weight 299645065 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 439.64/124.395
Info:Filtering - Merging: Total cpu/real time for replay: 70.2/59.1451
Info:Quadratic Characters: Total cpu/real time for characters: 68.47/29.1665
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38610/38.200/46.596/50.020/0.831
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30624/37.960/41.850/47.420/1.024
Info:Polynomial Selection (size optimized): Total time: 4932.49
Info:Square Root: Total cpu/real time for sqrt: 2677.09/1648.16
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 248988/71223.5
Info:root: Cleaning up computation data in /tmp/cado.nfbm06ky
83103893554682454249575409406773530068233780896579495033 345903797679261011389078806461744478161287784103508205402225935107358998121
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 2, 2022 13:10:55 UTC 2022 年 7 月 2 日 (土) 22 時 10 分 55 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 16:43:23 UTC 2022 年 7 月 4 日 (月) 1 時 43 分 23 秒 (日本時間)

13×10267+83

c216

composite cofactor 合成数の残り
361733357205652412602423313203012716415125001375300915605172507327642674970554106349004245095336869717666156148218101512593683700617389487644186386028031760613965286580785631160667647400402831432337642578841508724877<216>

ECM

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

13×10268+83

c239

composite cofactor 合成数の残り
58557789922519431728507708181617469445633940780005264531287519744494275999151994339525991366984229277588152812956221815708762618660149097800518068686202648726750813510293499630543015286559510813172231539325427126853147576377168474286129223<239>

ECM

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

13×10269+83

c213

composite cofactor 合成数の残り
174635167760005720430377925058121271070391915457967916337604244031966844341941813293164767287515733988109086806872160954737515338470788386104869223224806932855197110942968891914233251806808789615443353137023397713<213>

ECM

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

13×10270+83

c250

composite cofactor 合成数の残り
1109979270896890037977471398827668018674878778021002544107859919419444394025678425848999895899544709092463681727877086379083189205757121872034896392353484610593639657843197810704726139942829454313450967016579783301568556065628140103888645738300928517<250>

ECM

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

13×10271+83

c164

name 名前Ignacio Santos
date 日付July 1, 2022 15:52:18 UTC 2022 年 7 月 2 日 (土) 0 時 52 分 18 秒 (日本時間)
composite number 合成数
64553102133385935375961079302375464407267227912176361659440703158019213492266186970687901321827599717587368922087484883345458952243374527897563713071689364271291099<164>
prime factors 素因数
36691434457969583866828959021041466875802629<44>
composite cofactor 合成数の残り
1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1664124032
Step 1 took 26079ms
Step 2 took 11921ms
********** Factor found in step 2: 36691434457969583866828959021041466875802629
Found prime factor of 44 digits: 36691434457969583866828959021041466875802629
Composite cofactor 1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431 has 121 digits
software ソフトウェア
GMP-ECM

c121

name 名前Eric Jeancolas
date 日付July 4, 2022 17:09:36 UTC 2022 年 7 月 5 日 (火) 2 時 9 分 36 秒 (日本時間)
composite number 合成数
1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431<121>
prime factors 素因数
969449384156355413045694767953774816198172313343309127<54>
1814793801958671813808764234168023536596918679753166634457813178153<67>
factorization results 素因数分解の結果
1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431=969449384156355413045694767953774816198172313343309127*1814793801958671813808764234168023536596918679753166634457813178153

cado polynomial
n: 1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431
skew: 42683.584
c0: 4678830302366315938787245840
c1: -230188134974425067925266
c2: 23208742583922442457
c3: 111205809704195
c4: -930772650
c5: 75600
Y0: -169498953133194814066541
Y1: 27574757754377171
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.372e-06
# f(x) = 75600*x^5-930772650*x^4+111205809704195*x^3+23208742583922442457*x^2-230188134974425067925266*x+4678830302366315938787245840
# g(x) = 27574757754377171*x-169498953133194814066541

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

cado log (extracts)
Info:Square Root: Factors: 969449384156355413045694767953774816198172313343309127 1814793801958671813808764234168023536596918679753166634457813178153
Info:Square Root: Total cpu/real time for sqrt: 433.46/126.897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13748645
Info:Lattice Sieving: Average J: 1885.74 for 292168 special-q, max bucket fill -bkmult 1.0,1s:1.261190
Info:Lattice Sieving: Total time: 35095.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.16/1.37179
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1998.58
Info:Polynomial Selection (root optimized): Rootsieve time: 1996.15
Info:Generate Free Relations: Total cpu/real time for freerel: 126.07/32.2775
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.16/62.0779
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.800000000000004s
Info:Filtering - Merging: Merged matrix has 766332 rows and total weight 77311865 (100.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.45/19.7313
Info:Filtering - Merging: Total cpu/real time for replay: 19.31/15.3021
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 172.13/161.208
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 137.0s
Info:Linear Algebra: Total cpu/real time for bwc: 5662.91/1470.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3456.12, WCT time 894.98, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 130.77, WCT time 33.25
Info:Linear Algebra: Mksol: CPU time 1996.92,  WCT time 514.55, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 24.38/9.40784
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20049/35.000/42.994/50.790/1.039
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16083/34.760/38.058/43.460/0.843
Info:Polynomial Selection (size optimized): Total time: 2245.7
Info:Square Root: Total cpu/real time for sqrt: 433.46/126.897
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.66/100.088
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 75737.3/20722.4
Info:root: Cleaning up computation data in /tmp/cado.ek43z0pt
969449384156355413045694767953774816198172313343309127 1814793801958671813808764234168023536596918679753166634457813178153
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 19:24:37 UTC 2022 年 6 月 30 日 (木) 4 時 24 分 37 秒 (日本時間)
4511e64480Ignacio SantosJuly 4, 2022 11:33:04 UTC 2022 年 7 月 4 日 (月) 20 時 33 分 4 秒 (日本時間)

13×10273+83

c205

composite cofactor 合成数の残り
6710800727309569902845549563224098204083575690858123439415293501901381231477740039255597594387138387673670075108087637688864761318391467667008141014297708125837265867154203102352081027538380634498547710699<205>

ECM

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

13×10274+83

c255

composite cofactor 合成数の残り
102700448490398234316065680558760268405437503808678172683252357354671760538359877400311073658885862091490389412782363315969404790011819853189190666434870830631556496413276902008708423164098043277288963626377167296394683662461536670491932092633972897988187<255>

ECM

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

13×10276+83

c238

composite cofactor 合成数の残り
5508926189791957292365445988749550470784543933283032070885950076226381746039649082645425749810903119806719818244511088938284758960052700984277235487936126444311049584850601096541170744111086589492273384737598682689780556760950857094330223<238>

ECM

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

13×10277+83

c242

composite cofactor 合成数の残り
51033690363211559101118229171239728663093656166736820333735379863181896461289789939494007194506955433807712395359744165019916319359250833431514564307991574848396292093638811017911776377842126879719638757887116303105709668648246402143302554893<242>

ECM

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

13×10280+83

c271

composite cofactor 合成数の残り
2827539903391097855949728892089715100247919029333997087276498463380573602787195415633306755972062820675182873374833312237884625796420397157991374820425964028297308727109464311966812986323389068113825183955209000595231254145122385150018925437983464550473022882790969236571<271>

ECM

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

13×10281+83

c280

composite cofactor 合成数の残り
2850877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877193<280>

ECM

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

13×10282+83

c262

composite cofactor 合成数の残り
1394045652620053672702261498153939129268023897320074536569931190236266629970306522601468414424312079695044626055867557470120786414806196825604124159227853421352439069105022115909546568126369079186250998615309205677193114833670924274049528389711597509307850415293<262>

ECM

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

13×10283+83

c216

composite cofactor 合成数の残り
718504576872625759905191528377224833396816177632461104698987505440577905754170330145319898178120504173973905515540484100078580646226821491321152676055095959957487001696542850000064843246415102299704323464929468163909<216>

ECM

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

13×10284+83

c203

composite cofactor 合成数の残り
16729974885399794024191886966857992933738327252663553730368686220068637662635481990016453049409439260721723247985109367321225351223571306113118522226589313004124591491195283038782466068652469483545787191<203>

ECM

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

13×10285+83

c226

composite cofactor 合成数の残り
2238786360258292566992690715878999156181770095974934714009983588562776502417522743252766490369202416965566055768336207877822355771800728304168650598682296515689007869369982777642231321444930100927163590039470407390955140378007<226>

ECM

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

13×10286+83

c258

composite cofactor 合成数の残り
327704563965057012826774733169635209662006929167504638407426444040471401936098730223637733432553253091162464747074243287054043744603860579987534036074710546004636058610582996171505979866797126442599666756729047182652150182948861632846135626963745742164218869<258>

ECM

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

13×10287+83

c257

composite cofactor 合成数の残り
61011230414931753935220907382388323116001945488080951217359977307344357137317590169475873431860049552687218076207309805761399609258127465874767388883989965025624580614614866284221364792714677583402280759905938523716600878888377638876800616672835425242468367<257>

ECM

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

13×10289+83

c266

composite cofactor 合成数の残り
94135688942017898455016069103565513809806447181745475943170800618531384325585794200117278488433841766167304809919329353422814649290640998206702565827489962663149635714569436450164679943049916021123501478383802236730729428890885311784849221557483737001545600612873353<266>

ECM

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

13×10291+83

c273

composite cofactor 合成数の残り
190141644077768940712386288708560462782751382865324156374855509727554416415289303297896962913575234497049463740001407741608594893960551703430906171919605131508540456035331037200825042284293603169997972953511589658151510161516658954749170721301995513720548324016014761640321<273>

ECM

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

13×10292+83

c277

composite cofactor 合成数の残り
2116616958306405020796667932909641074914805766528075570577358322969940051095639917866280348424563334033737351871415625604804682569879882786941908326405651425704057650771233115848040069481794055760389368790167888989424288391047364797747530024044347024008833201015045426941461901<277>

ECM

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

13×10293+83

c282

composite cofactor 合成数の残り
738698404474292977445307474089573630275024848382729007344581469854422488471328756362901438838078255486847014194641392841928918173099524484318918400047994227240183161149099648536774037804913755232791547370066089405221658214363672032803173466503510220059510389262757574490387099182863<282>

ECM

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

13×10294+83

c242

composite cofactor 合成数の残り
87311839866323339337899703839414318752494909098406588353320959270378974224462480749937059612404189636044692429528027310649722417740010840683645562748817504377946102344678948526769672495162929745754811852135082564724688323417688864131935933631<242>

ECM

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

13×10295+83

c234

composite cofactor 合成数の残り
227732426641550698529786489708070258061279993701483154651731030568214507340142978564910379649045691905441030184961134038982003698525334108276087809467280945852900646829177118094122531086635390652003729111694245604583994622093523009581<234>

ECM

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

13×10297+83

c261

composite cofactor 合成数の残り
843025159277559666206875744467562639196805146595432599484835383928061818107365781192208292982622693813270458975715416396867666191103631245106933994024004371389294841443987653766093587547674985339944805739761558194047377131271648682758192387414427716977501788383<261>

ECM

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

13×10298+83

c264

composite cofactor 合成数の残り
183997637663425395590184739358255142502107550143852220313473887523477880269282809877065689151424158370821189363480820534862709793403796715108525758348625893262503337828334837125775682888162202531633912381165617117962619885537831851997225461596817052500435619766633<264>

ECM

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

13×10299+83

c293

composite cofactor 合成数の残り
27724986559779592328385318962747684366468701731864745060644355986097582739464121222854465659319801151277934203573742236790494134331228111123111054011856739790678910703192672959982692783774621280948975958427193076294556399361967016991066070946278530504053904880945495406268303822857639103935259<293>

ECM

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

13×10300+83

c225

composite cofactor 合成数の残り
265090933944216330806909756176240413070009922595794074450425825668652130421739177279303480680332804546645994118648580519578226277443899532228832119265013717652765357382984676450748774770064265331511703180187598161121384296191<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 1, 2022 07:37:51 UTC 2022 年 7 月 1 日 (金) 16 時 37 分 51 秒 (日本時間)
4511e63584Dmitry DomanovJuly 9, 2022 14:14:48 UTC 2022 年 7 月 9 日 (土) 23 時 14 分 48 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 9, 2022 14:14:48 UTC 2022 年 7 月 9 日 (土) 23 時 14 分 48 秒 (日本時間)