Table of contents 目次

4×10111+9×1055-49

c79

name 名前Eric Jeancolas
date 日付May 18, 2022 16:06:58 UTC 2022 年 5 月 19 日 (木) 1 時 6 分 58 秒 (日本時間)
composite number 合成数
4340135362127494711521432805800679988951482913730776878343990297698851544154699<79>
prime factors 素因数
19880029175241721196553067189371241931<38>
218316347721090455729836489920019477177729<42>
factorization results 素因数分解の結果
4340135362127494711521432805800679988951482913730776878343990297698851544154699 = 19880029175241721196553067189371241931 * 218316347721090455729836489920019477177729

Time elapsed: 0d 0h 19m 49.4s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1337
SIQS: 104418
Sum of squares: 1503
SIQS:

720936 polynomials sieved
354797 sets of trial divisions
12041 smooth congruences found (1 out of every 4449314 values)
140553 partial congruences found (1 out of every 381167 values)
13279 useful partial congruences
Size of binary matrix: 23510 × 22963
software ソフトウェア
Dario Alpern's calculator
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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10119+9×1059-49

c118

name 名前Dmitry Domanov
date 日付May 18, 2022 17:36:05 UTC 2022 年 5 月 19 日 (木) 2 時 36 分 5 秒 (日本時間)
composite number 合成数
1234567901234567901234567901234567901234567901234567901234570679012345679012345679012345679012345679012345679012345679<118>
prime factors 素因数
255035749948202031015813430220049212620370229493<48>
4840764094780083379195860332141849831636495493191395451850023540020403<70>
factorization results 素因数分解の結果
N=1234567901234567901234567901234567901234567901234567901234570679012345679012345679012345679012345679012345679012345679
  ( 118 digits)
SNFS difficulty: 120 digits.
Divisors found:
p48 factor: 255035749948202031015813430220049212620370229493
p70 factor: 4840764094780083379195860332141849831636495493191395451850023540020403
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1234567901234567901234567901234567901234567901234567901234570679012345679012345679012345679012345679012345679012345679
m: 500000000000000000000000000000
deg: 4
c4: 16
c2: 9
c0: -10
skew: 0.89
# Murphy_E = 5.197e-08
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [350000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59238 x 59463
Total sieving time: 1.05 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.2,2.2,50000
total time: 1.06 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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10145+9×1072-49

c140

name 名前Bob Backstrom
date 日付May 19, 2022 04:47:33 UTC 2022 年 5 月 19 日 (木) 13 時 47 分 33 秒 (日本時間)
composite number 合成数
10969928136000781058883283255611392489767799531145271467326617543328473657637318817924423777099836218972929508338790872580993721910127766753<140>
prime factors 素因数
87307804274655233098893653475166818925380904573<47>
125646592846285388332582344246736361330077880965815695305255286283832816411353210784086628661<93>
factorization results 素因数分解の結果
Number: n
N=10969928136000781058883283255611392489767799531145271467326617543328473657637318817924423777099836218972929508338790872580993721910127766753  ( 140 digits)
SNFS difficulty: 145 digits.
Divisors found:

Thu May 19 14:43:43 2022  p47 factor: 87307804274655233098893653475166818925380904573
Thu May 19 14:43:43 2022  p93 factor: 125646592846285388332582344246736361330077880965815695305255286283832816411353210784086628661
Thu May 19 14:43:43 2022  elapsed time 00:03:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 4x10^145+9x10^72-4 = 4(72)54(72)
#
n: 10969928136000781058883283255611392489767799531145271467326617543328473657637318817924423777099836218972929508338790872580993721910127766753
m: 1000000000000000000000000000000000000
deg: 4
c4: 40
c2: 9
c0: -4
skew: 0.56
# Murphy_E = 2.924e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6535000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 672702 hash collisions in 7860247 relations (8023117 unique)
Msieve: matrix is 249028 x 249276 (81.0 MB)

Sieving start time : 2022/05/19 14:16:47
Sieving end time  : 2022/05/19 14:39:50

Total sieving time: 0hrs 23min 3secs.

Total relation processing time: 0hrs 1min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10149+9×1074-49

c135

name 名前Bob Backstrom
date 日付May 19, 2022 10:05:37 UTC 2022 年 5 月 19 日 (木) 19 時 5 分 37 秒 (日本時間)
composite number 合成数
144252084677545859296408931042952269710498387713797262459503397643843404974288359125524663002228621273791538248060479407849774333725071<135>
prime factors 素因数
868706310960096029024883676726071877258211<42>
166053915871887881260787977411597050812125179561075892139584912313007134336024982693482812261<93>
factorization results 素因数分解の結果
Number: n
N=144252084677545859296408931042952269710498387713797262459503397643843404974288359125524663002228621273791538248060479407849774333725071  ( 135 digits)
SNFS difficulty: 149 digits.
Divisors found:

Thu May 19 19:57:29 2022  p42 factor: 868706310960096029024883676726071877258211
Thu May 19 19:57:29 2022  p93 factor: 166053915871887881260787977411597050812125179561075892139584912313007134336024982693482812261
Thu May 19 19:57:29 2022  elapsed time 00:03:53 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 4x10^149+9x10^74-4 = 4(74)54(74)
#
n: 144252084677545859296408931042952269710498387713797262459503397643843404974288359125524663002228621273791538248060479407849774333725071
m: 10000000000000000000000000000000000000
deg: 4
c4: 40
c2: 9
c0: -4
skew: 0.56
# Murphy_E = 1.829e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 629306 hash collisions in 8246203 relations (8284671 unique)
Msieve: matrix is 300090 x 300315 (99.2 MB)

Sieving start time : 2022/05/19 19:23:20
Sieving end time  : 2022/05/19 19:53:20

Total sieving time: 0hrs 30min 0secs.

Total relation processing time: 0hrs 1min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10157+9×1078-49

c155

name 名前Bob Backstrom
date 日付May 19, 2022 01:19:00 UTC 2022 年 5 月 19 日 (木) 10 時 19 分 0 秒 (日本時間)
composite number 合成数
10384215991692627206645898234683281412253374870197300103842159916926272066458984683281412253374870197300103842159916926272066458982346832814122533748701973<155>
prime factors 素因数
2220485153107662267031188211742287308579601580489<49>
4676552769181762204570258913456067009063835197818824475070189335482419289167567750401502145417504075166957<106>
factorization results 素因数分解の結果
Number: n
N=10384215991692627206645898234683281412253374870197300103842159916926272066458984683281412253374870197300103842159916926272066458982346832814122533748701973  ( 155 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu May 19 11:13:52 2022  p49 factor: 2220485153107662267031188211742287308579601580489
Thu May 19 11:13:52 2022  p106 factor: 4676552769181762204570258913456067009063835197818824475070189335482419289167567750401502145417504075166957
Thu May 19 11:13:52 2022  elapsed time 00:05:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 4x10^157+9x10^78-4 = 4(78)54(78)
#
n: 10384215991692627206645898234683281412253374870197300103842159916926272066458984683281412253374870197300103842159916926272066458982346832814122533748701973
m: 1000000000000000000000000000000000000000
deg: 4
c4: 40
c2: 9
c0: -4
skew: 0.56
# Murphy_E = 7.069e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2301105 hash collisions in 15974224 relations (15052268 unique)
Msieve: matrix is 391081 x 391306 (129.5 MB)

Sieving start time : 2022/05/19 10:28:49
Sieving end time  : 2022/05/19 11:07:42

Total sieving time: 0hrs 38min 53secs.

Total relation processing time: 0hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,157,4,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10161+9×1080-49

c99

name 名前Dmitry Domanov
date 日付May 18, 2022 16:34:23 UTC 2022 年 5 月 19 日 (木) 1 時 34 分 23 秒 (日本時間)
composite number 合成数
373600902548120772807547850444674967201818415937938697917203825890474359922730018241231726376358441<99>
prime factors 素因数
377607860007432266842033546703819241405735529<45>
989388575070358368353787994246231685865168219533588929<54>
factorization results 素因数分解の結果
N=373600902548120772807547850444674967201818415937938697917203825890474359922730018241231726376358441
  ( 99 digits)
Divisors found:
p45 factor: 377607860007432266842033546703819241405735529
p54 factor: 989388575070358368353787994246231685865168219533588929
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.89 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 373600902548120772807547850444674967201818415937938697917203825890474359922730018241231726376358441
skew: 496139.11
c0: 198072093601733492257063941
c1: 351378381205573126376
c2: -6167002376386555
c3: -3501802182
c4: 11760
Y0: -422182712888637742038370
Y1: 3885292789069
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [870000, 1170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 161440 x 161667
Total sieving time: 2.81 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1740000,1740000,26,26,52,52,2.5,2.5,100000
total time: 2.89 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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10163+9×1081-49

c123

name 名前Eric Jeancolas
date 日付May 26, 2022 21:51:55 UTC 2022 年 5 月 27 日 (金) 6 時 51 分 55 秒 (日本時間)
composite number 合成数
304822850026792119219837446401380146346616644116387168896161823002225323689180254346400564868112972822985531062823527029887<123>
prime factors 素因数
2775978172350522981084197868430166735239691653<46>
109807365584826404784151789976233345892402349409326070816061138501392213008179<78>
factorization results 素因数分解の結果
304822850026792119219837446401380146346616644116387168896161823002225323689180254346400564868112972822985531062823527029887=2775978172350522981084197868430166735239691653*109807365584826404784151789976233345892402349409326070816061138501392213008179

cado polynomial
n: 304822850026792119219837446401380146346616644116387168896161823002225323689180254346400564868112972822985531062823527029887
skew: 0.89
type: snfs
c0: -10
c2: 9
c4: 16
Y0: 50000000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^4+9*x^2-10
# g(x) = -x+50000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3800000
tasks.lim1 = 3800000
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: 109807365584826404784151789976233345892402349409326070816061138501392213008179 2775978172350522981084197868430166735239691653
Info:Square Root: Total cpu/real time for sqrt: 227.13/175.027
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.62/81.2771
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630119
Info:Lattice Sieving: Average J: 1891.87 for 730354 special-q, max bucket fill -bkmult 1.0,1s:1.227740
Info:Lattice Sieving: Total time: 81803.8s
Info:Linear Algebra: Total cpu/real time for bwc: 7576.65/6373.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4422.32, WCT time 3662.72, iteration CPU time 0.13, COMM 0.02, cpu-wait 0.02, comm-wait 0.0 (21504 iterations)
Info:Linear Algebra: Lingen CPU time 654.72, WCT time 585.47
Info:Linear Algebra: Mksol: CPU time 2394.29,  WCT time 2034.95, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (10752 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.75/82.3643
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 82.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.64/159.307
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.9s
Info:Filtering - Merging: Merged matrix has 680671 rows and total weight 116184174 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 154.07/114.445
Info:Filtering - Merging: Total cpu/real time for replay: 26.11/28.9505
Info:Generate Factor Base: Total cpu/real time for makefb: 2.39/1.30588
Info:Quadratic Characters: Total cpu/real time for characters: 22.84/19.1834
Info:Square Root: Total cpu/real time for sqrt: 227.13/175.027
Info:Generate Free Relations: Total cpu/real time for freerel: 87.11/23.7454
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 147924/48328.4
Info:root: Cleaning up computation data in /tmp/cado.kaw2bygm
109807365584826404784151789976233345892402349409326070816061138501392213008179 2775978172350522981084197868430166735239691653
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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10173+9×1086-49

c140

name 名前Bob Backstrom
date 日付June 8, 2022 03:38:47 UTC 2022 年 6 月 8 日 (水) 12 時 38 分 47 秒 (日本時間)
composite number 合成数
47897042662410088399251170249146188508908661030535517161513527853400519997966874045279452104865211742810302810970004602649875457944680711159<140>
prime factors 素因数
240660461632088282506756309688835066727<39>
199023314164638717159783459987724237235787071833004585891723565965327803402712617446100274101258418417<102>
factorization results 素因数分解の結果
Number: n
N=47897042662410088399251170249146188508908661030535517161513527853400519997966874045279452104865211742810302810970004602649875457944680711159  ( 140 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Jun  8 13:34:56 2022  p39 factor: 240660461632088282506756309688835066727
Wed Jun  8 13:34:56 2022  p102 factor: 199023314164638717159783459987724237235787071833004585891723565965327803402712617446100274101258418417
Wed Jun  8 13:34:56 2022  elapsed time 00:14:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 4x10^173+9x10^86-4 = 4(86)54(86)
#
n: 47897042662410088399251170249146188508908661030535517161513527853400519997966874045279452104865211742810302810970004602649875457944680711159
m: 10000000000000000000000000000000000000000000
deg: 4
c4: 40
c2: 9
c0: -4
skew: 0.56
# Murphy_E = 1.005e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1238547 hash collisions in 11744534 relations (11744348 unique)
Msieve: matrix is 830742 x 830967 (287.8 MB)

Sieving start time : 2022/06/08 11:15:01
Sieving end time  : 2022/06/08 13:20:30

Total sieving time: 2hrs 5min 29secs.

Total relation processing time: 0hrs 10min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,173,4,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10181+9×1090-49

c177

name 名前ebina
date 日付May 25, 2022 07:54:25 UTC 2022 年 5 月 25 日 (水) 16 時 54 分 25 秒 (日本時間)
composite number 合成数
238282460028117330283317844973431505706864917673410060285462387113684561679414778278170943890437724879071651535730454881216193675983510853766054280744394405127838539805084947697<177>
prime factors 素因数
3008664788551445516705858985609645072959377<43>
79198739897787357040032459211404931173374559692313592131340970189384324850532140756533097377617609397752042367063982445455423906744161<134>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1124786403 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 238282460028117330283317844973431505706864917673410060285462387113684561679414778278170943890437724879071651535730454881216193675983510853766054280744394405127838539805084947697 (177 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1124786403
Step 1 took 9750ms
Step 2 took 6750ms
********** Factor found in step 2: 3008664788551445516705858985609645072959377
Found probable prime factor of 43 digits: 3008664788551445516705858985609645072959377
Probable prime cofactor 79198739897787357040032459211404931173374559692313592131340970189384324850532140756533097377617609397752042367063982445455423906744161 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10187+9×1093-49

c180

name 名前Ignacio Santos
date 日付June 10, 2022 09:17:41 UTC 2022 年 6 月 10 日 (金) 18 時 17 分 41 秒 (日本時間)
composite number 合成数
551414159510551558078606183812035264700026010205904112716994567853690413703435900226901412497120928819655532677382077462771410874184989194212423151476392112593918927450935305940291<180>
prime factors 素因数
2250958522664524503394827613100475562148749<43>
composite cofactor 合成数の残り
244968600690974402751394010068108396560088936452536057022068565064097739399335964787540668906912283426823651483030424669066086940032210959<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:774627216
Step 1 took 8578ms
Step 2 took 4187ms
********** Factor found in step 2: 2250958522664524503394827613100475562148749
Found prime factor of 43 digits: 2250958522664524503394827613100475562148749
Composite cofactor 244968600690974402751394010068108396560088936452536057022068565064097739399335964787540668906912283426823651483030424669066086940032210959 has 138 digits
 
software ソフトウェア
GMP-ECM

c138

name 名前Eric Jeancolas
date 日付July 25, 2022 21:40:31 UTC 2022 年 7 月 26 日 (火) 6 時 40 分 31 秒 (日本時間)
composite number 合成数
244968600690974402751394010068108396560088936452536057022068565064097739399335964787540668906912283426823651483030424669066086940032210959<138>
prime factors 素因数
136638019902262670464055061678348210479598777177443<51>
1792828971513204880616459136982810413682533713603522094033867069652896794348676008589413<88>
factorization results 素因数分解の結果
244968600690974402751394010068108396560088936452536057022068565064097739399335964787540668906912283426823651483030424669066086940032210959=136638019902262670464055061678348210479598777177443*1792828971513204880616459136982810413682533713603522094033867069652896794348676008589413

cado polynomial
n: 244968600690974402751394010068108396560088936452536057022068565064097739399335964787540668906912283426823651483030424669066086940032210959
skew: 0.68
type: snfs
c0: -4
c3: 9
c6: 40
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 40*x^6+9*x^3-4
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9400000
tasks.lim1 = 9400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 136638019902262670464055061678348210479598777177443 1792828971513204880616459136982810413682533713603522094033867069652896794348676008589413
Info:Square Root: Total cpu/real time for sqrt: 872.15/259.939
Info:Generate Free Relations: Total cpu/real time for freerel: 221.97/56.826
Info:Filtering - Singleton removal: Total cpu/real time for purge: 160.14/189.409
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22904752
Info:Lattice Sieving: Average J: 1894.71 for 1430000 special-q, max bucket fill -bkmult 1.0,1s:1.169900
Info:Lattice Sieving: Total time: 242302s
Info:Linear Algebra: Total cpu/real time for bwc: 45747.1/11800.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29105.3, WCT time 7456.5, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51968 iterations)
Info:Linear Algebra: Lingen CPU time 324.84, WCT time 82.53
Info:Linear Algebra: Mksol: CPU time 16012.91,  WCT time 4144.25, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.08/111.999
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.5s
Info:Filtering - Merging: Merged matrix has 1662234 rows and total weight 284536220 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 438.69/122.135
Info:Filtering - Merging: Total cpu/real time for replay: 64.93/55.6977
Info:Generate Factor Base: Total cpu/real time for makefb: 7.56/3.16824
Info:Quadratic Characters: Total cpu/real time for characters: 60.31/24.3104
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 302.82/275.66
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 237.4s
Info:Square Root: Total cpu/real time for sqrt: 872.15/259.939
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 507954/73855.4
Info:root: Cleaning up computation data in /tmp/cado.xnfpwdiz
136638019902262670464055061678348210479598777177443 1792828971513204880616459136982810413682533713603522094033867069652896794348676008589413
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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 16:28:17 UTC 2022 年 6 月 11 日 (土) 1 時 28 分 17 秒 (日本時間)

4×10191+9×1095-49

c118

name 名前Eric Jeancolas
date 日付May 22, 2022 02:11:05 UTC 2022 年 5 月 22 日 (日) 11 時 11 分 5 秒 (日本時間)
composite number 合成数
2502091371369186700039019148034185976273948227855281209908540498163805935857514140956308490251392230075029621446345661<118>
prime factors 素因数
8599378115671299296612222705083445063859749<43>
290961897210850134027443868214349277321518433751854507924640995609614172089<75>
factorization results 素因数分解の結果
2502091371369186700039019148034185976273948227855281209908540498163805935857514140956308490251392230075029621446345661=8599378115671299296612222705083445063859749*290961897210850134027443868214349277321518433751854507924640995609614172089

cado polynomial
n: 2502091371369186700039019148034185976273948227855281209908540498163805935857514140956308490251392230075029621446345661
skew: 24692.553
c0: -506095310332260882714291740
c1: -48010565368860198344878
c2: 1035847183186808582
c3: 63282429345736
c4: -2456275755
c5: 63000
Y0: -59114779691601710492543
Y1: 309361037677498123
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.848e-06
# f(x) = 63000*x^5-2456275755*x^4+63282429345736*x^3+1035847183186808582*x^2-48010565368860198344878*x-506095310332260882714291740
# g(x) = 309361037677498123*x-59114779691601710492543

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: 8599378115671299296612222705083445063859749 290961897210850134027443868214349277321518433751854507924640995609614172089
Info:Square Root: Total cpu/real time for sqrt: 127.62/44.789
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13425826
Info:Lattice Sieving: Average J: 1898.32 for 182563 special-q, max bucket fill -bkmult 1.0,1s:1.274130
Info:Lattice Sieving: Total time: 31586.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.07/2.25076
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 913.44
Info:Polynomial Selection (root optimized): Rootsieve time: 910.94
Info:Generate Free Relations: Total cpu/real time for freerel: 125.59/41.7632
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.45/67.6623
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.5s
Info:Filtering - Merging: Merged matrix has 521371 rows and total weight 52923229 (101.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 40.01/16.0198
Info:Filtering - Merging: Total cpu/real time for replay: 12.51/10.0584
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.78/137.911
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 122.4s
Info:Linear Algebra: Total cpu/real time for bwc: 3014.28/1230.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1500.81, WCT time 632.56, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (16384 iterations)
Info:Linear Algebra: Lingen CPU time 607.21, WCT time 215.34
Info:Linear Algebra: Mksol: CPU time 876.02,  WCT time 366.88, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (8192 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 15.7/7.65873
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): 19998/34.640/41.876/46.720/1.035
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15675/33.180/37.054/42.350/0.813
Info:Polynomial Selection (size optimized): Total time: 2327.88
Info:Square Root: Total cpu/real time for sqrt: 127.62/44.789
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.57/99.8585
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50065.7/18770.1
Info:root: Cleaning up computation data in /tmp/cado.luaspap5
8599378115671299296612222705083445063859749 290961897210850134027443868214349277321518433751854507924640995609614172089
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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

4×10197+9×1098-49

c159

name 名前Bob Backstrom
date 日付July 26, 2022 01:47:16 UTC 2022 年 7 月 26 日 (火) 10 時 47 分 16 秒 (日本時間)
composite number 合成数
280987226589877645228573310037312898640397490569721520784549628268911116789175390355347585374668287361745289189077928738547012479978144824205078707871091875037<159>
prime factors 素因数
1965402806124083174316983464328912346732067<43>
23895371451641034022256681517209598668986804128601<50>
5983030544121836198125749307782280189375067332913894062018308492311<67>
factorization results 素因数分解の結果
#
# N = 4x10^197+9x10^98-4 = 4(98)54(98)
#
# n: 280987226589877645228573310037312898640397490569721520784549628268911116789175390355347585374668287361745289189077928738547012479978144824205078707871091875037
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 280987226589877645228573310037312898640397490569721520784549628268911116789175390355347585374668287361745289189077928738547012479978144824205078707871091875037 (159 digits)
# Using B1=21840000, B2=96186870796, polynomial Dickson(12), sigma=1:3846000454
# Step 1 took 51191ms
# Step 2 took 18753ms
# ********** Factor found in step 2: 1965402806124083174316983464328912346732067
# Found prime factor of 43 digits: 1965402806124083174316983464328912346732067
# Composite cofactor 142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911 has 117 digits
#
n: 142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911
m: 500000000000000000000000000000000
deg: 6
c6: 32
c3: 9
c0: -5
skew: 0.73
# Murphy_E = 1.706e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5


CADO


STA:Tue 26 Jul 2022 10:00:38 AEST (142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911 - C117)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911 2>&1 | tee -a log175

Debug:root: Looking for parameter file for c117 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.r1x_xxim
Info:Database: Opened connection to database /tmp/cado.r1x_xxim/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911
Debug:root: Root parameter dictionary:
N = 142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911
skew: 5987280.647
c0: -15903880422056315534423214972720
c1: -488090222813790851603047
c2: -632794305650074369
c3: -89789998948
c4: 18360
Y0: -11180672049517128864936224977
Y1: 7736322800187102779
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.67e-09
# f(x) = 18360*x^4-89789998948*x^3-632794305650074369*x^2-488090222813790851603047*x-15903880422056315534423214972720
# g(x) = 7736322800187102779*x-11180672049517128864936224977
===
Info:Square Root: finished
Info:Square Root: Factors: 5983030544121836198125749307782280189375067332913894062018308492311 23895371451641034022256681517209598668986804128601
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 319.09/47.3709
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56174/39.670/44.381/49.480/0.610
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56174/38.310/43.646/45.410/0.998
Info:Polynomial Selection (size optimized): Total time: 1119.76
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.46
Info:Polynomial Selection (root optimized): Rootsieve time: 149.83
Info:Generate Factor Base: Total cpu/real time for makefb: 2.68/0.284239
Info:Generate Free Relations: Total cpu/real time for freerel: 53.22/3.49258
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6782526
Info:Lattice Sieving: Average J: 4096 for 106474 special-q, max bucket fill: 0.729051
Info:Lattice Sieving: Total CPU time: 82378.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.06/19.4954
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.19/29.477
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.45/27.9012
Info:Filtering - Merging: Total cpu/real time for merge: 166/131.134
Info:Filtering - Merging: Total cpu/real time for replay: 18.11/13.624
Info:Linear Algebra: Total cpu/real time for bwc: 5675.25/0.000188828
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 231.12
Info:Linear Algebra: Lingen CPU time 108.0, WCT time 10.89
Info:Linear Algebra: Mksol: WCT time 134.84
Info:Quadratic Characters: Total cpu/real time for characters: 17.48/4.13005
Info:Square Root: Total cpu/real time for sqrt: 319.09/47.3709
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 90076.9/6183.6
Info:root: Cleaning up computation data in /tmp/cado.r1x_xxim
5983030544121836198125749307782280189375067332913894062018308492311 23895371451641034022256681517209598668986804128601

END:Tue 26 Jul 2022 11:43:42 AEST (142966737258305246689375412190850011688123009676649310078137785038508192317434181242726313563424079004810954463686911 - C117)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJuly 21, 2022 16:45:16 UTC 2022 年 7 月 22 日 (金) 1 時 45 分 16 秒 (日本時間)

4×10199+9×1099-49

c193

name 名前Bob Backstrom
date 日付August 29, 2022 03:31:56 UTC 2022 年 8 月 29 日 (月) 12 時 31 分 56 秒 (日本時間)
composite number 合成数
1546498333416070994171093131521486815869732877982364042305389809596671688146755268649184740206064717282319920707937449091207986859712960630327976727055880088230822918053682359449205339563865819<193>
prime factors 素因数
102670145356086184229402687197374084978558493089800080699967<60>
15062785077905766393064339117001068498260129733672819408916136803523849652953567190467361437087631556312965376667541959640683703213157<134>
factorization results 素因数分解の結果
Number: n
N=1546498333416070994171093131521486815869732877982364042305389809596671688146755268649184740206064717282319920707937449091207986859712960630327976727055880088230822918053682359449205339563865819  ( 193 digits)
SNFS difficulty: 199 digits.
Divisors found:

Mon Aug 29 12:57:45 2022  p60 factor: 102670145356086184229402687197374084978558493089800080699967
Mon Aug 29 12:57:45 2022  p134 factor: 15062785077905766393064339117001068498260129733672819408916136803523849652953567190467361437087631556312965376667541959640683703213157
Mon Aug 29 12:57:45 2022  elapsed time 01:17:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 4x10^199+9x10^99-4 = 4(99)54(99)
#
n: 1546498333416070994171093131521486815869732877982364042305389809596671688146755268649184740206064717282319920707937449091207986859712960630327976727055880088230822918053682359449205339563865819
m: 1000000000000000000000000000000000
deg: 6
c6: 40
c3: 9
c0: -4
skew: 0.68
# Murphy_E = 1.478e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3659480 hash collisions in 28263904 relations (25798967 unique)
Msieve: matrix is 1849488 x 1849713 (640.6 MB)

Sieving start time : 2022/08/29 03:38:13
Sieving end time  : 2022/08/29 11:40:04

Total sieving time: 8hrs 1min 51secs.

Total relation processing time: 1hrs 6min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 21, 2022 16:45:24 UTC 2022 年 7 月 22 日 (金) 1 時 45 分 24 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 09:48:37 UTC 2022 年 8 月 23 日 (火) 18 時 48 分 37 秒 (日本時間)

4×10205+9×10102-49

c162

name 名前Bob Backstrom
date 日付November 10, 2023 17:27:25 UTC 2023 年 11 月 11 日 (土) 2 時 27 分 25 秒 (日本時間)
composite number 合成数
410971978017939589370444056546471280179422641588291469845467700728247210249877809968060069183509296840064439591851903663808507259069557219180080990881010305786297<162>
prime factors 素因数
219126286663827388115830661603856193943418301630081672642077525632716829<72>
1875502863097535556992211792603887412553113518952684681126485330567784583758352128264002893<91>
factorization results 素因数分解の結果
Number: n
N=410971978017939589370444056546471280179422641588291469845467700728247210249877809968060069183509296840064439591851903663808507259069557219180080990881010305786297  ( 162 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Nov 10 22:24:53 2023  prp72 factor: 219126286663827388115830661603856193943418301630081672642077525632716829
Fri Nov 10 22:24:53 2023  prp91 factor: 1875502863097535556992211792603887412553113518952684681126485330567784583758352128264002893
Fri Nov 10 22:24:53 2023  elapsed time 02:49:24 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# 4x10^205+9x10^102-4 = 4(102)54(102)
#
n: 410971978017939589370444056546471280179422641588291469845467700728247210249877809968060069183509296840064439591851903663808507259069557219180080990881010305786297
m: 10000000000000000000000000000000000
deg: 6
c6: 40
c3: 9
c0: -4
skew: 0.68
# Murphy_E = 9.376e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3417204 hash collisions in 19682906 relations (16533634 unique)
Msieve: matrix is 2317848 x 2318073 (649.0 MB)

Sieving start time: 2023/11/09 21:32:49
Sieving end time  : 2023/11/10 19:35:06

Total sieving time: 22hrs 2min 17secs.

Total relation processing time: 2hrs 40min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 21, 2022 16:45:32 UTC 2022 年 7 月 22 日 (金) 1 時 45 分 32 秒 (日本時間)
4511e656801200Dmitry DomanovAugust 10, 2022 09:04:23 UTC 2022 年 8 月 10 日 (水) 18 時 4 分 23 秒 (日本時間)
4480Ignacio SantosOctober 25, 2023 06:15:59 UTC 2023 年 10 月 25 日 (水) 15 時 15 分 59 秒 (日本時間)

4×10207+9×10103-49

c161

name 名前Dmitry Domanov
date 日付July 22, 2022 22:53:19 UTC 2022 年 7 月 23 日 (土) 7 時 53 分 19 秒 (日本時間)
composite number 合成数
53542742347105191801550795890055642435367883661427760878556109716008994218018020216640222652034419487212215918074380231136592998336024828946249803954613743689527<161>
prime factors 素因数
19567355503996520495285291922289840027<38>
composite cofactor 合成数の残り
2736330023552206264181172463511974836428799384866654321166534628826657590163500884369397395046679188268714282260251756068501<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=189896669
Step 1 took 10268ms
Step 2 took 4008ms
********** Factor found in step 2: 19567355503996520495285291922289840027
Found probable prime factor of 38 digits: 19567355503996520495285291922289840027
Composite cofactor 2736330023552206264181172463511974836428799384866654321166534628826657590163500884369397395046679188268714282260251756068501 has 124 digits

c124

name 名前Eric Jeancolas
date 日付July 24, 2022 03:06:30 UTC 2022 年 7 月 24 日 (日) 12 時 6 分 30 秒 (日本時間)
composite number 合成数
2736330023552206264181172463511974836428799384866654321166534628826657590163500884369397395046679188268714282260251756068501<124>
prime factors 素因数
60795358207110378197165716403752340559427<41>
45008864233193648939768571201445277819435280078218408633680879958072772977253729863<83>
factorization results 素因数分解の結果
2736330023552206264181172463511974836428799384866654321166534628826657590163500884369397395046679188268714282260251756068501=60795358207110378197165716403752340559427*45008864233193648939768571201445277819435280078218408633680879958072772977253729863

cado polynomial
n: 2736330023552206264181172463511974836428799384866654321166534628826657590163500884369397395046679188268714282260251756068501
skew: 33677.087
c0: -17589612823874437174779230840
c1: -2815466025140741232496758
c2: 141421092293046092415
c3: 1601605541231017
c4: 28368717030
c5: 680400
Y0: -525815297761213806445353
Y1: 6910394032889699
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.960e-07
# f(x) = 680400*x^5+28368717030*x^4+1601605541231017*x^3+141421092293046092415*x^2-2815466025140741232496758*x-17589612823874437174779230840
# g(x) = 6910394032889699*x-525815297761213806445353

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

cado log (extracts)
Info:Square Root: Factors: 45008864233193648939768571201445277819435280078218408633680879958072772977253729863 60795358207110378197165716403752340559427
Info:Square Root: Total cpu/real time for sqrt: 246.69/72.4608
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.14/107.434
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.0s
Info:Square Root: Total cpu/real time for sqrt: 246.69/72.4608
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.83/62.4875
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11626637
Info:Lattice Sieving: Average J: 3781.5 for 160986 special-q, max bucket fill -bkmult 1.0,1s:1.282810
Info:Lattice Sieving: Total time: 49085.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.23/2.20369
Info:Linear Algebra: Total cpu/real time for bwc: 7169.57/1847.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4485.47, WCT time 1148.25, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 119.83, WCT time 30.5
Info:Linear Algebra: Mksol: CPU time 2457.82,  WCT time 627.64, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.02/33.1632
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.26/58.2666
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2618.97
Info:Polynomial Selection (root optimized): Rootsieve time: 2616.51
Info:Filtering - Merging: Merged matrix has 693732 rows and total weight 118380530 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 140.77/40.7966
Info:Filtering - Merging: Total cpu/real time for replay: 25.35/20.925
Info:Quadratic Characters: Total cpu/real time for characters: 25.7/10.1677
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20266/36.480/43.969/48.460/0.871
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16016/35.890/39.327/44.700/0.880
Info:Polynomial Selection (size optimized): Total time: 2003.46
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 104038/28302.3
Info:root: Cleaning up computation data in /tmp/cado.mmac1krv
45008864233193648939768571201445277819435280078218408633680879958072772977253729863 60795358207110378197165716403752340559427
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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJuly 21, 2022 16:45:38 UTC 2022 年 7 月 22 日 (金) 1 時 45 分 38 秒 (日本時間)

4×10209+9×10104-49

c187

name 名前Ignacio Santos
date 日付August 23, 2022 09:49:25 UTC 2022 年 8 月 23 日 (火) 18 時 49 分 25 秒 (日本時間)
composite number 合成数
1927166875201603663396968090149059156346716740444640174068748997206764397401663510849020558752992292732205693649608915029587494453817831138876582574614159208386556234701703038317156996029<187>
prime factors 素因数
31019942191499288566813373028129661428031<41>
62126707500110199307508581671545663223620948833377841856900305970026060407795582701698845168832785752309788637563235036708697457086999487215456259<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3144315598
Step 1 took 8531ms
Step 2 took 4234ms
********** Factor found in step 2: 31019942191499288566813373028129661428031
Found prime factor of 41 digits: 31019942191499288566813373028129661428031
Prime cofactor 62126707500110199307508581671545663223620948833377841856900305970026060407795582701698845168832785752309788637563235036708697457086999487215456259 has 146 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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJuly 21, 2022 16:45:46 UTC 2022 年 7 月 22 日 (金) 1 時 45 分 46 秒 (日本時間)

4×10211+9×10105-49

c204

name 名前Dmitry Domanov
date 日付July 31, 2022 12:35:46 UTC 2022 年 7 月 31 日 (日) 21 時 35 分 46 秒 (日本時間)
composite number 合成数
468244961227678352983935498694696933833662439304332207063728092398590901073278322978798383225068074623075788303268963230268403162470278736392274651142285924139727480496075568743206643571888688995114940793<204>
prime factors 素因数
1908293854502793027252403498340951477<37>
composite cofactor 合成数の残り
245373614824997602480466679789142073310238035694696722091097256015934373895971436877903188841179730489084172168285173614270260033707681237487771481199987838007953907509<168>
factorization results 素因数分解の結果
Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 14:42:43 2022 
Input number is 468244961227678352983935498694696933833662439304332207063728092398590901073278322978798383225068074623075788303268963230268403162470278736392274651142285924139727480496075568743206643571888688995114940793 (204 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2244975812
Step 1 took 0ms
Step 2 took 3444ms
********** Factor found in step 2: 1908293854502793027252403498340951477
Found prime factor of 37 digits: 1908293854502793027252403498340951477
Composite cofactor 245373614824997602480466679789142073310238035694696722091097256015934373895971436877903188841179730489084172168285173614270260033707681237487771481199987838007953907509 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 11:17:58 UTC 2022 年 7 月 29 日 (金) 20 時 17 分 58 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovAugust 10, 2022 09:04:45 UTC 2022 年 8 月 10 日 (水) 18 時 4 分 45 秒 (日本時間)

4×10215+9×10107-49

c145

name 名前Sean Wellman
date 日付May 21, 2022 15:47:46 UTC 2022 年 5 月 22 日 (日) 0 時 47 分 46 秒 (日本時間)
composite number 合成数
1004918864008802275338932259742343835656785476221487156916986858492511629059201111848626780122987015371037561316061676476322574237580654565718523<145>
prime factors 素因数
22710702472256110092878067797465361143<38>
composite cofactor 合成数の残り
44248691348778537196445714307625233166022625402567591222138440491970564702435888518724048677311213646021661<107>
factorization results 素因数分解の結果
p38 = 22710702472256110092878067797465361143 using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4158608207

c107

name 名前Dmitry Domanov
date 日付May 23, 2022 05:26:02 UTC 2022 年 5 月 23 日 (月) 14 時 26 分 2 秒 (日本時間)
composite number 合成数
44248691348778537196445714307625233166022625402567591222138440491970564702435888518724048677311213646021661<107>
prime factors 素因数
207289986788934417250829632925696138385181<42>
213462753479902421214990058954494449381092819869441784238787662081<66>
factorization results 素因数分解の結果
N=44248691348778537196445714307625233166022625402567591222138440491970564702435888518724048677311213646021661
  ( 107 digits)
Divisors found:
p42 factor: 207289986788934417250829632925696138385181
p66 factor: 213462753479902421214990058954494449381092819869441784238787662081
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 10.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 44248691348778537196445714307625233166022625402567591222138440491970564702435888518724048677311213646021661
skew: 2293326.50
c0: -59619710947465460743605869124
c1: -309236668324622951698996
c2: 64923928793699911
c3: 58443152954
c4: 17220
Y0: -40037301926718384504631075
Y1: 219244591931191
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2290001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 291574 x 291802
Total sieving time: 9.85 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 10.08 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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62078Sean WellmanMay 21, 2022 15:43:27 UTC 2022 年 5 月 22 日 (日) 0 時 43 分 27 秒 (日本時間)

4×10219+9×10109-49

c208

composite cofactor 合成数の残り
2392015012252326826909574718007275359055426354568703992594728126346638843411302070198341237059033683848747445560019280872312401461232648592199820480819050563789094031966380736760604227273706129087652285668831<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:18:05 UTC 2022 年 7 月 29 日 (金) 20 時 18 分 5 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 09:50:03 UTC 2022 年 8 月 23 日 (火) 18 時 50 分 3 秒 (日本時間)

4×10223+9×10111-49

c185

name 名前Erik Branger
date 日付August 20, 2023 11:09:21 UTC 2023 年 8 月 20 日 (日) 20 時 9 分 21 秒 (日本時間)
composite number 合成数
25731071588745055665961777009875623350407416602775878481328143126175833455780893984107568063936991284411225670972576517505948018469473693997048096886471077063406928626354283205266950819<185>
prime factors 素因数
12944779820114738738961857204496258917661721762451<50>
4323635271795732927538298567511430143972682781929491246790773439<64>
459741971772486193883972145064661453671260626595095377030914594018883471<72>
factorization results 素因数分解の結果
Number: 44544_111
N = 25731071588745055665961777009875623350407416602775878481328143126175833455780893984107568063936991284411225670972576517505948018469473693997048096886471077063406928626354283205266950819 (185 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=12944779820114738738961857204496258917661721762451 (pp50)
r2=4323635271795732927538298567511430143972682781929491246790773439 (pp64)
r3=459741971772486193883972145064661453671260626595095377030914594018883471 (pp72)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 33.98 hours.
Factorization parameters were as follows:
n: 25731071588745055665961777009875623350407416602775878481328143126175833455780893984107568063936991284411225670972576517505948018469473693997048096886471077063406928626354283205266950819
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2000
c2: 45
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30288205
Relations: 9248180 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.26 hours.
Total relation processing time: 0.29 hours.
Pruned matrix : 7819750 x 7819975
Matrix solve time: 22.09 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 33.98 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 21, 2022 16:45:56 UTC 2022 年 7 月 22 日 (金) 1 時 45 分 56 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 09:50:28 UTC 2022 年 8 月 23 日 (火) 18 時 50 分 28 秒 (日本時間)

4×10227+9×10113-49

c211

composite cofactor 合成数の残り
1424406173139356819854868562214807554611929672386370831010830519843580472575563258251419590863747504810198228663776226531722350315950288065389429503983890965215162173227063295466616656435912046790016232220529459<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:18:13 UTC 2022 年 7 月 29 日 (金) 20 時 18 分 13 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 09:50:54 UTC 2022 年 8 月 23 日 (火) 18 時 50 分 54 秒 (日本時間)

4×10229+9×10114-49

c208

composite cofactor 合成数の残り
1815476028137850346485248009799973271957552049044325962792920701657551983984723272030375887154356590122514885314921606968371168196618366458339695313669780231240690731285767387267961260014633662807584652312607<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:18:20 UTC 2022 年 7 月 29 日 (金) 20 時 18 分 20 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 09:51:18 UTC 2022 年 8 月 23 日 (火) 18 時 51 分 18 秒 (日本時間)

4×10231+9×10115-49

c222

name 名前Dmitry Domanov
date 日付August 15, 2022 00:05:18 UTC 2022 年 8 月 15 日 (月) 9 時 5 分 18 秒 (日本時間)
composite number 合成数
141099920587878223753609009145946863290681549157085886463553536986300021875553178270229510042150981050103302447775590137799998402099839310514267279879415025810151978347728415665170154841615044946772268110477360958890576657<222>
prime factors 素因数
1640196651265126869775870782838447991728682397119<49>
86026221599126019007087536537968183121279439355527420673214308319641968914604704935867352997229273512434733214738170756296290270312575704738450390634285771881070777467558703<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4a894ecbb8b6 with GMP-ECM 7.0.5-dev on Wed Aug 10 22:34:35 2022 
Input number is 141099920587878223753609009145946863290681549157085886463553536986300021875553178270229510042150981050103302447775590137799998402099839310514267279879415025810151978347728415665170154841615044946772268110477360958890576657 (222 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:32770966
Step 1 took 0ms
Step 2 took 26088ms
********** Factor found in step 2: 1640196651265126869775870782838447991728682397119
Found prime factor of 49 digits: 1640196651265126869775870782838447991728682397119
Prime cofactor 86026221599126019007087536537968183121279439355527420673214308319641968914604704935867352997229273512434733214738170756296290270312575704738450390634285771881070777467558703 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:52:20 UTC 2022 年 7 月 27 日 (水) 19 時 52 分 20 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:58:55 UTC 2022 年 8 月 10 日 (水) 17 時 58 分 55 秒 (日本時間)

4×10233+9×10116-49

c229

composite cofactor 合成数の残り
3634645440337295096863300984988914331406971249954566931995783811289208737687638570857412859375567913350052702358884898956856758623196307200232617308181586886199251263039290517210046159997092283647730163922509359212008868534874423<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:52:28 UTC 2022 年 7 月 27 日 (水) 19 時 52 分 28 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:02 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 2 秒 (日本時間)

4×10235+9×10117-49

c200

composite cofactor 合成数の残り
93201834337749564031069809467761650559882228166411245665808806092333847728567858621503838977509097201538061262924489829092244792571214240120540846189919331329638052337807088369834480605443408150670653<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 21, 2022 16:46:03 UTC 2022 年 7 月 22 日 (金) 1 時 46 分 3 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 09:53:54 UTC 2022 年 8 月 23 日 (火) 18 時 53 分 54 秒 (日本時間)

4×10241+9×10120-49

c241

name 名前Dmitry Domanov
date 日付August 11, 2022 12:22:21 UTC 2022 年 8 月 11 日 (木) 21 時 22 分 21 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<241>
prime factors 素因数
2030954035189685119772286055261890835896383<43>
547088260915435542495354916485631025691595589822503764714890452938971469433410844383258871169852513808663848238510771758301456795929783664370018282344970760014543540154027785900506237004991355012217<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a7c6a759ff0e with GMP-ECM 7.0.5-dev on Tue Aug  9 10:42:36 2022 
Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1464160374
Step 1 took 0ms
Step 2 took 29367ms
********** Factor found in step 2: 2030954035189685119772286055261890835896383
Found prime factor of 43 digits: 2030954035189685119772286055261890835896383
Prime cofactor 547088260915435542495354916485631025691595589822503764714890452938971469433410844383258871169852513808663848238510771758301456795929783664370018282344970760014543540154027785900506237004991355012217 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:52:36 UTC 2022 年 7 月 27 日 (水) 19 時 52 分 36 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 9, 2022 06:36:12 UTC 2022 年 8 月 9 日 (火) 15 時 36 分 12 秒 (日本時間)

4×10245+9×10122-49

c208

composite cofactor 合成数の残り
6329592774451285782989968534031876371579040175614199632179449897906572098882276418396641914861974467958023622677918883814322361466777720716344688761894321403486573637965498062170204072764185600062102462231353<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:18:28 UTC 2022 年 7 月 29 日 (金) 20 時 18 分 28 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 10:05:51 UTC 2022 年 8 月 23 日 (火) 19 時 5 分 51 秒 (日本時間)

4×10251+9×10125-49

c197

name 名前Dmitry Domanov
date 日付July 22, 2022 09:46:51 UTC 2022 年 7 月 22 日 (金) 18 時 46 分 51 秒 (日本時間)
composite number 合成数
90976009650624304029720331377828180819165341532036687341769858542941756111694408110059821179859605662532909233998257200555115226877213956278920086596138254629027967953602834440800766601353225789187<197>
prime factors 素因数
235175214027903953037831749478004681<36>
composite cofactor 合成数の残り
386843528671477430324278583446349415653363923632672443236851096961333834565532298465330500864380462917360282656195957157322364269671237882720838802564297126878827<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:761212929
Step 1 took 9429ms
Step 2 took 4567ms
********** Factor found in step 2: 235175214027903953037831749478004681
Found prime factor of 36 digits: 235175214027903953037831749478004681
Composite cofactor 386843528671477430324278583446349415653363923632672443236851096961333834565532298465330500864380462917360282656195957157322364269671237882720838802564297126878827 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 21, 2022 16:46:11 UTC 2022 年 7 月 22 日 (金) 1 時 46 分 11 秒 (日本時間)
2350Ignacio SantosJuly 26, 2022 08:17:40 UTC 2022 年 7 月 26 日 (火) 17 時 17 分 40 秒 (日本時間)
4511e64480Ignacio SantosJuly 27, 2022 14:07:10 UTC 2022 年 7 月 27 日 (水) 23 時 7 分 10 秒 (日本時間)

4×10253+9×10126-49

c225

composite cofactor 合成数の残り
162483860062921796353850819165771722977109477369273072510795679555783126941797817939597412648968696503941220107181986053174947730691795296883575364440459675395316072241278583561701018699151062933189961632459374939026172622397<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:52:45 UTC 2022 年 7 月 27 日 (水) 19 時 52 分 45 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:10 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 10 秒 (日本時間)

4×10255+9×10127-49

c247

composite cofactor 合成数の残り
3893898720574298973333495163764160401198665073392339371839607149853783518957626987406481256576381212310929946694356647736516975669530672008534989878842159028062008047512698013462539590387787961062772836478709849800995102172417388514691062689779619<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:52:52 UTC 2022 年 7 月 27 日 (水) 19 時 52 分 52 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:17 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 17 秒 (日本時間)

4×10259+9×10129-49

c252

name 名前Dmitry Domanov
date 日付August 6, 2022 08:06:13 UTC 2022 年 8 月 6 日 (土) 17 時 6 分 13 秒 (日本時間)
composite number 合成数
165847355851656107745985337203082856891195626591958403360306249746979127728817150620031119929546716455369672180643460873432777729802283913789957209557869358355984350577162895389010645725187382220390604024196532168275560158151375150715857722140633615511<252>
prime factors 素因数
29160218572679103927841223569236255352963<41>
5687452425581007283005463642012017537491823666006306332989078900174332641271556941504938986508019390946716921733301064787632834491648643528221046220779144165000508251324574184570952950444090416150213445927208797<211>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1f1df1d735e1 with GMP-ECM 7.0.5-dev on Thu Aug  4 18:16:11 2022 
Input number is 165847355851656107745985337203082856891195626591958403360306249746979127728817150620031119929546716455369672180643460873432777729802283913789957209557869358355984350577162895389010645725187382220390604024196532168275560158151375150715857722140633615511 (252 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:475195636
Step 1 took 0ms
Step 2 took 21973ms
********** Factor found in step 2: 29160218572679103927841223569236255352963
Found prime factor of 41 digits: 29160218572679103927841223569236255352963
Prime cofactor 5687452425581007283005463642012017537491823666006306332989078900174332641271556941504938986508019390946716921733301064787632834491648643528221046220779144165000508251324574184570952950444090416150213445927208797 has 211 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 08:45:57 UTC 2022 年 7 月 18 日 (月) 17 時 45 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:01:26 UTC 2022 年 8 月 5 日 (金) 0 時 1 分 26 秒 (日本時間)

4×10261+9×10130-49

c192

name 名前Dmitry Domanov
date 日付July 22, 2022 09:46:33 UTC 2022 年 7 月 22 日 (金) 18 時 46 分 33 秒 (日本時間)
composite number 合成数
141988588608799914489522707894093343084339650210211804511522657985850405340575948447076343431807679624940840432672598346630672986912733366429818958298480868699986829122789934201567721668770281<192>
prime factors 素因数
17020088416269302191190234697128327701<38>
composite cofactor 合成数の残り
8342411927371346310970306962687756901718390818334637486031070666029942571259666275463569274726462503766291296806352585864896179878227704263086904935176581<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:793688843
Step 1 took 8391ms
Step 2 took 4202ms
********** Factor found in step 2: 17020088416269302191190234697128327701
Found prime factor of 38 digits: 17020088416269302191190234697128327701
Composite cofactor 8342411927371346310970306962687756901718390818334637486031070666029942571259666275463569274726462503766291296806352585864896179878227704263086904935176581 has 154 digits

c154

name 名前Ignacio Santos
date 日付July 26, 2022 08:08:34 UTC 2022 年 7 月 26 日 (火) 17 時 8 分 34 秒 (日本時間)
composite number 合成数
8342411927371346310970306962687756901718390818334637486031070666029942571259666275463569274726462503766291296806352585864896179878227704263086904935176581<154>
prime factors 素因数
87336849623723517645253678561573960613<38>
composite cofactor 合成数の残り
95519954787850247555608051363149691325864765133457994970228817417105290813104759874348108508598361485463695824650337<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1965010229
Step 1 took 4922ms
********** Factor found in step 2: 87336849623723517645253678561573960613
Found prime factor of 38 digits: 87336849623723517645253678561573960613
Composite cofactor 95519954787850247555608051363149691325864765133457994970228817417105290813104759874348108508598361485463695824650337 has 116 digits
 
software ソフトウェア
GMP-ECM

c116

name 名前ebina
date 日付August 1, 2022 21:32:07 UTC 2022 年 8 月 2 日 (火) 6 時 32 分 7 秒 (日本時間)
composite number 合成数
95519954787850247555608051363149691325864765133457994970228817417105290813104759874348108508598361485463695824650337<116>
prime factors 素因数
2827151266945420695329885856347515051441403404805749118579<58>
33786644494284252643508242175982148696083186271820226397403<59>
factorization results 素因数分解の結果
Number: 44544_130
N = 95519954787850247555608051363149691325864765133457994970228817417105290813104759874348108508598361485463695824650337 (116 digits)
Divisors found:
r1=2827151266945420695329885856347515051441403404805749118579 (pp58)
r2=33786644494284252643508242175982148696083186271820226397403 (pp59)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 5.96 hours.
Factorization parameters were as follows:
n: 95519954787850247555608051363149691325864765133457994970228817417105290813104759874348108508598361485463695824650337
# norm 3.498170e-11 alpha -6.539294 e 3.870e-10 rroots 3
skew: 896909.67
c0: -18071300925935602719766927864505
c1: 54485975418542474239600751
c2: 60141883226551436231
c3: -288759179194379
c4: -74556630
c5: 132
Y0: -59143114980502907957808
Y1: 191722368199
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10218662
Relations: 934782 relations
Pruned matrix : 530666 x 530903
Polynomial selection time: 0.02 hours.
Total sieving time: 5.67 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 5.96 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 21, 2022 16:46:18 UTC 2022 年 7 月 22 日 (金) 1 時 46 分 18 秒 (日本時間)
2350Ignacio SantosJuly 27, 2022 10:07:44 UTC 2022 年 7 月 27 日 (水) 19 時 7 分 44 秒 (日本時間)

4×10265+9×10132-49

c239

composite cofactor 合成数の残り
10751552166855822804836843689879712270234739786861994567616402936225955000569637965082610896263450385474115822430581511213519598804128546277278337545916526498574865326764533706174294518484043032055758681958186048221145564777074934495908583<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:52:59 UTC 2022 年 7 月 27 日 (水) 19 時 52 分 59 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:25 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 25 秒 (日本時間)

4×10267+9×10133-49

c211

composite cofactor 合成数の残り
9681951092233647624432319324368069922098356785550732423774221768709214802490808062224721708480672623460424752670667296551241690279277511346241792337271203682012979626554068416420117354642558820621658064434248567<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:18:36 UTC 2022 年 7 月 29 日 (金) 20 時 18 分 36 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 10:22:07 UTC 2022 年 8 月 23 日 (火) 19 時 22 分 7 秒 (日本時間)

4×10269+9×10134-49

c208

name 名前Ignacio Santos
date 日付August 23, 2022 10:22:37 UTC 2022 年 8 月 23 日 (火) 19 時 22 分 37 秒 (日本時間)
composite number 合成数
7088520712936267353441422641152284978549571020264171563352938734249025370279352201629262395159513270431228168284959768874586456058755646355710979976884735726522562828552922453147891868261038157489446221068673<208>
prime factors 素因数
875102798529605214647819423970043228738661<42>
composite cofactor 合成数の残り
8100214883150620793189346632744036923455108462115050158806498438226752468023819709246421397225407054865386143994579537162219851745537599142764026724240283331323181293<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1265070337
Step 1 took 9953ms
Step 2 took 4656ms
********** Factor found in step 2: 875102798529605214647819423970043228738661
Found prime factor of 42 digits: 875102798529605214647819423970043228738661
Composite cofactor 8100214883150620793189346632744036923455108462115050158806498438226752468023819709246421397225407054865386143994579537162219851745537599142764026724240283331323181293 has 166 digits
 
software ソフトウェア
GMP-ECM

c166

name 名前Ignacio Santos
date 日付August 25, 2022 10:48:56 UTC 2022 年 8 月 25 日 (木) 19 時 48 分 56 秒 (日本時間)
composite number 合成数
8100214883150620793189346632744036923455108462115050158806498438226752468023819709246421397225407054865386143994579537162219851745537599142764026724240283331323181293<166>
prime factors 素因数
21973102889631564245138007661774297845845234161<47>
368642286154900073476280792508565755000140039955096826168958933259424066860992536051353109063027972524417922454317505213<120>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2004553434
Step 1 took 26344ms
Step 2 took 12094ms
********** Factor found in step 2: 21973102889631564245138007661774297845845234161
Found prime factor of 47 digits: 21973102889631564245138007661774297845845234161
Prime cofactor 368642286154900073476280792508565755000140039955096826168958933259424066860992536051353109063027972524417922454317505213 has 120 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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:18:43 UTC 2022 年 7 月 29 日 (金) 20 時 18 分 43 秒 (日本時間)
2350Ignacio SantosAugust 24, 2022 15:50:26 UTC 2022 年 8 月 25 日 (木) 0 時 50 分 26 秒 (日本時間)

4×10271+9×10135-49

c151

name 名前Ignacio Santos
date 日付January 2, 2024 11:02:01 UTC 2024 年 1 月 2 日 (火) 20 時 2 分 1 秒 (日本時間)
composite number 合成数
1791462215015475550727937083351357093160312509546375339663013690331336431498686756450096661489768944875373403715148981047867934743150946560537121624201<151>
prime factors 素因数
1595616975574649845469733180080227264449420547<46>
1122739506058647606872301340721156508619941729412268734083314750347515572327741335508412678736255974500483<106>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:682921933
Step 1 took 81438ms
Step 2 took 28500ms
********** Factor found in step 2: 1595616975574649845469733180080227264449420547
Found prime factor of 46 digits: 1595616975574649845469733180080227264449420547
Prime cofactor 1122739506058647606872301340721156508619941729412268734083314750347515572327741335508412678736255974500483 has 106 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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 14:19:04 UTC 2022 年 6 月 3 日 (金) 23 時 19 分 4 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 22:28:38 UTC 2022 年 6 月 6 日 (月) 7 時 28 分 38 秒 (日本時間)

4×10273+9×10136-49

c249

composite cofactor 合成数の残り
211174159363000924307743048702627626100134287743138609542256328392006889325040964557836943904511047959208198068673238019421863178927299415875374457292074120385937028093739073637108790220865070179617961785067525497041328998049025457866267517830956161<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:53:08 UTC 2022 年 7 月 27 日 (水) 19 時 53 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:32 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 32 秒 (日本時間)

4×10275+9×10137-49

c237

composite cofactor 合成数の残り
267558572963729590696603187963093873993161037432435108935183116289037659999483310055619394961699292292921208288036108900538647343619493798565180406585520260361447221232670667715994669216258498939614371458687918947590371149398762145146993<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:53:15 UTC 2022 年 7 月 27 日 (水) 19 時 53 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:40 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 40 秒 (日本時間)

4×10277+9×10138-49

c227

composite cofactor 合成数の残り
24438042514959407319179662045640761026572935897357928274494110699743388680194886451792312223677937436792191203788639424171241024039015395108230029071848970266036358797860777916915343377345483787755901711825319037440750664854591<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:53:23 UTC 2022 年 7 月 27 日 (水) 19 時 53 分 23 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:47 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 47 秒 (日本時間)

4×10279+9×10139-49

c279

composite cofactor 合成数の残り
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 08:46:04 UTC 2022 年 7 月 18 日 (月) 17 時 46 分 4 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:01:33 UTC 2022 年 8 月 5 日 (金) 0 時 1 分 33 秒 (日本時間)

4×10281+9×10140-49

c240

composite cofactor 合成数の残り
177107693028841968688796969350744491088379485177080313047032986591396769391515335930810699267841547923120833327350834288660463497542449162506133895145749372653736330227929915653814344293214437275645348782573470223851436710436561392870968871<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:53:30 UTC 2022 年 7 月 27 日 (水) 19 時 53 分 30 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 08:59:55 UTC 2022 年 8 月 10 日 (水) 17 時 59 分 55 秒 (日本時間)

4×10283+9×10141-49

c269

composite cofactor 合成数の残り
54352217163529390639088883998223717954949829392378391254791428626381816481010265578926772905228360364506104289095948097889482695734796670613099950578356938683649500060531005210224083559106096057780381897016830490108578256364373138433358259164272762377481433221782499133<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 08:46:14 UTC 2022 年 7 月 18 日 (月) 17 時 46 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:01:41 UTC 2022 年 8 月 5 日 (金) 0 時 1 分 41 秒 (日本時間)

4×10285+9×10142-49

c197

name 名前Dmitry Domanov
date 日付July 22, 2022 14:23:48 UTC 2022 年 7 月 22 日 (金) 23 時 23 分 48 秒 (日本時間)
composite number 合成数
17381557839756012393308422009133732290212576895480455015231585972740040626029654903253099595885559739094585337740325966621589370064349971828631115876523358979338928412032623074717411411718585615107<197>
prime factors 素因数
4608273287896917883072089651036709<34>
3771815765659256436680029897773600326742822420330997765857462300255804394588964770577919270347942934033282759967026809891101087429238788737721391265573027459081223<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3403450322
Step 1 took 9533ms
Step 2 took 4527ms
********** Factor found in step 2: 4608273287896917883072089651036709
Found prime factor of 34 digits: 4608273287896917883072089651036709
Prime cofactor 3771815765659256436680029897773600326742822420330997765857462300255804394588964770577919270347942934033282759967026809891101087429238788737721391265573027459081223 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJuly 21, 2022 16:46:29 UTC 2022 年 7 月 22 日 (金) 1 時 46 分 29 秒 (日本時間)

4×10287+9×10143-49

c259

composite cofactor 合成数の残り
1054549558034275618583627958672567435559889232258344284680251711419465079598259042847544279274843746870562739575143502516466932194349849146169098026854289026518299465303534752672466053131251913204445487752015787269213444928360941688379077505911197231953841169<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 08:46:22 UTC 2022 年 7 月 18 日 (月) 17 時 46 分 22 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:01:49 UTC 2022 年 8 月 5 日 (金) 0 時 1 分 49 秒 (日本時間)

4×10291+9×10145-49

c221

composite cofactor 合成数の残り
37359526962033414913436934789616596290604510455383022916761835677168557539566772697732843664949044152426202296505814943207049057829612107317513241020946397674332507817204848833580802453763929472156362978436161408575695319<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 10:53:37 UTC 2022 年 7 月 27 日 (水) 19 時 53 分 37 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 10, 2022 09:00:04 UTC 2022 年 8 月 10 日 (水) 18 時 0 分 4 秒 (日本時間)

4×10293+9×10146-49

c283

composite cofactor 合成数の残り
6028039477591718173926630380462274147783216786775012673451167350077950142760982942757911391410341396965126126014543856996185805581785318524104316921439286704914561479083476741763884221460806932438392942390476464681372529876150119814732259909963274595665163522759826901019801493437413<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 08:46:30 UTC 2022 年 7 月 18 日 (月) 17 時 46 分 30 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:01:57 UTC 2022 年 8 月 5 日 (金) 0 時 1 分 57 秒 (日本時間)

4×10299+9×10149-49

c294

composite cofactor 合成数の残り
903122093075762912388125750720239869227920922629530286199391295709266935797050403244014558328140381298147696587101610266691954085272788028213534187688865407714468919053166797619370162652288962944900521101447704715200447948558165578404544510372357238975137048777624247021954898082671796400155337<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 08:46:38 UTC 2022 年 7 月 18 日 (月) 17 時 46 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:02:05 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 5 秒 (日本時間)

4×10301+9×10150-49

c262

name 名前Dmitry Domanov
date 日付May 23, 2022 15:10:24 UTC 2022 年 5 月 24 日 (火) 0 時 10 分 24 秒 (日本時間)
composite number 合成数
1325499515415064271539925010876228967373751899526198858500161796496335040735908136854469016224334227195888390696569393359651747601681910272191984567196614917350063070619779933703591786177111546913268235590017882282120782681455253871976023390613324923965271061899<262>
prime factors 素因数
78165472471139548940622687068315785032881<41>
composite cofactor 合成数の残り
16957608948176811886768044327494324686909174299374249092904194348546554566814828980792277927391904658158227536880101194589053639865100087883397020132730021317819378307378128645697649832190359195084308469775966265815600379<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fd68ecbd5b30 with GMP-ECM 7.0.5-dev on Sun May 22 16:19:17 2022 
Input number is 1325499515415064271539925010876228967373751899526198858500161796496335040735908136854469016224334227195888390696569393359651747601681910272191984567196614917350063070619779933703591786177111546913268235590017882282120782681455253871976023390613324923965271061899 (262 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2072946469
Step 1 took 0ms
Step 2 took 36460ms
********** Factor found in step 2: 78165472471139548940622687068315785032881
Found prime factor of 41 digits: 78165472471139548940622687068315785032881
Composite cofactor 16957608948176811886768044327494324686909174299374249092904194348546554566814828980792277927391904658158227536880101194589053639865100087883397020132730021317819378307378128645697649832190359195084308469775966265815600379 has 221 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 19, 2022 18:54:16 UTC 2022 年 5 月 20 日 (金) 3 時 54 分 16 秒 (日本時間)
4511e63584Dmitry DomanovMay 28, 2022 22:13:33 UTC 2022 年 5 月 29 日 (日) 7 時 13 分 33 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMay 28, 2022 22:13:33 UTC 2022 年 5 月 29 日 (日) 7 時 13 分 33 秒 (日本時間)