Table of contents 目次

41×10103+229

c93

name 名前Dmitry Domanov
date 日付June 29, 2022 18:42:22 UTC 2022 年 6 月 30 日 (木) 3 時 42 分 22 秒 (日本時間)
composite number 合成数
260779459631156596545389420688312864183056833298477104889761719612798099661733673693655731817<93>
prime factors 素因数
1219309399232354972657569392620460661<37>
213874722687561060294242785772887153593670640340048485797<57>
factorization results 素因数分解の結果
N=260779459631156596545389420688312864183056833298477104889761719612798099661733673693655731817
  ( 93 digits)
SNFS difficulty: 105 digits.
Divisors found:
p37 factor: 1219309399232354972657569392620460661
p57 factor: 213874722687561060294242785772887153593670640340048485797
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 260779459631156596545389420688312864183056833298477104889761719612798099661733673693655731817
m: 50000000000000000000000000
deg: 4
c4: 164
c0: 55
skew: 0.76
# Murphy_E = 1.858e-07
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 335001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30366 x 30591
Total sieving time: 0.12 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,20000
total time: 0.13 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

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

41×10116+229

c99

name 名前Dmitry Domanov
date 日付June 29, 2022 22:39:03 UTC 2022 年 6 月 30 日 (木) 7 時 39 分 3 秒 (日本時間)
composite number 合成数
631541822120485558258942171454346546969483266089757043112295881713103537320508198555408296544994713<99>
prime factors 素因数
21750267745179985302111214392503667883991294911<47>
29036048177404148840541839026012938799903041514966183<53>
factorization results 素因数分解の結果
N=631541822120485558258942171454346546969483266089757043112295881713103537320508198555408296544994713
  ( 99 digits)
SNFS difficulty: 117 digits.
Divisors found:
p47 factor: 21750267745179985302111214392503667883991294911
p53 factor: 29036048177404148840541839026012938799903041514966183
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: 631541822120485558258942171454346546969483266089757043112295881713103537320508198555408296544994713
m: 100000000000000000000000000000
deg: 4
c4: 41
c0: 22
skew: 0.86
# Murphy_E = 5.176e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56775 x 57000
Total sieving time: 0.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.51 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)

41×10124+229

c113

name 名前Ignacio Santos
date 日付June 30, 2022 13:24:24 UTC 2022 年 6 月 30 日 (木) 22 時 24 分 24 秒 (日本時間)
composite number 合成数
89166185533638052634368312043608988670577752920401245869991811117346218308068619518467677256134062860784620746269<113>
prime factors 素因数
268617734682940623784662318721465636405364161441838225609<57>
331944521976124084696852443162824775542357871795489730741<57>
factorization results 素因数分解の結果
N=89166185533638052634368312043608988670577752920401245869991811117346218308068619518467677256134062860784620746269
  ( 113 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=268617734682940623784662318721465636405364161441838225609 (pp57)
 r2=331944521976124084696852443162824775542357871795489730741 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.38 hours.
Scaled time: 10.60 units (timescale=7.704).
Factorization parameters were as follows:
n: 89166185533638052634368312043608988670577752920401245869991811117346218308068619518467677256134062860784620746269
m: 10000000000000000000000000000000
deg: 4
c4: 41
c0: 22
skew: 0.86
# Murphy_E = 2.157e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122771 x 122997
Total sieving time: 1.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.38 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)

41×10128+229

c117

name 名前Ignacio Santos
date 日付June 30, 2022 13:51:42 UTC 2022 年 6 月 30 日 (木) 22 時 51 分 42 秒 (日本時間)
composite number 合成数
396600349110059814967370830707639128393901453162476312673789969568669667664709917033274815245480519575517723688712267<117>
prime factors 素因数
690394089324463485281380537423050195764023242064027<51>
574455018144962909209782455508098653007881420473251161724093295121<66>
factorization results 素因数分解の結果
N=396600349110059814967370830707639128393901453162476312673789969568669667664709917033274815245480519575517723688712267
  ( 117 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=690394089324463485281380537423050195764023242064027 (pp51)
 r2=574455018144962909209782455508098653007881420473251161724093295121 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.09 hours.
Scaled time: 15.95 units (timescale=7.645).
Factorization parameters were as follows:
n: 396600349110059814967370830707639128393901453162476312673789969568669667664709917033274815245480519575517723688712267
m: 100000000000000000000000000000000
deg: 4
c4: 41
c0: 22
skew: 0.86
# Murphy_E = 1.382e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 127208 x 127438
Total sieving time: 2.07 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,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 2.09 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)

41×10132+229

c106

name 名前Dmitry Domanov
date 日付June 30, 2022 22:28:56 UTC 2022 年 7 月 1 日 (金) 7 時 28 分 56 秒 (日本時間)
composite number 合成数
8431041287484589143015422967113081555945688014682853676253315788079927308668145531571804072429301680547589<106>
prime factors 素因数
920568001525918300739126213122817838697563997122937<51>
9158520906124734386441637998553481194153365971610217197<55>
factorization results 素因数分解の結果
N=8431041287484589143015422967113081555945688014682853676253315788079927308668145531571804072429301680547589
  ( 106 digits)
SNFS difficulty: 133 digits.
Divisors found:
p51 factor: 920568001525918300739126213122817838697563997122937
p55 factor: 9158520906124734386441637998553481194153365971610217197
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8431041287484589143015422967113081555945688014682853676253315788079927308668145531571804072429301680547589
m: 1000000000000000000000000000000000
deg: 4
c4: 41
c0: 22
skew: 0.86
# Murphy_E = 8.81e-09
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1290001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147841 x 148069
Total sieving time: 4.70 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,100000
total time: 4.84 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)

41×10133+229

c103

name 名前Eric Jeancolas
date 日付July 3, 2022 20:52:39 UTC 2022 年 7 月 4 日 (月) 5 時 52 分 39 秒 (日本時間)
composite number 合成数
2342667268817680703165849361001397196126359409131303749817255521015155426347577651393694485835213144283<103>
prime factors 素因数
20658941245029791219504653009096452084084819577<47>
113397256956780819800072206610180069921334720083655720179<57>
factorization results 素因数分解の結果
2342667268817680703165849361001397196126359409131303749817255521015155426347577651393694485835213144283=20658941245029791219504653009096452084084819577*113397256956780819800072206610180069921334720083655720179

cado polynomial
n: 2342667268817680703165849361001397196126359409131303749817255521015155426347577651393694485835213144283
skew: 0.48
type: snfs
c0: 11
c4: 205
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 205*x^4+11
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1210000
tasks.lim1 = 1210000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 20658941245029791219504653009096452084084819577 113397256956780819800072206610180069921334720083655720179
Info:Square Root: Total cpu/real time for sqrt: 16.18/12.7718
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.39/75.779
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6099821
Info:Lattice Sieving: Average J: 1890.11 for 74463 special-q, max bucket fill -bkmult 1.0,1s:1.337170
Info:Lattice Sieving: Total time: 13475.5s
Info:Linear Algebra: Total cpu/real time for bwc: 318.09/303.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 106.82, WCT time 104.0, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3648 iterations)
Info:Linear Algebra: Lingen CPU time 146.66, WCT time 134.62
Info:Linear Algebra: Mksol: CPU time 57.55,  WCT time 58.06, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1792 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 37.58/28.6825
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.69/40.5174
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.3s
Info:Filtering - Merging: Merged matrix has 114670 rows and total weight 19548054 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.64/23.6496
Info:Filtering - Merging: Total cpu/real time for replay: 3.66/4.12367
Info:Generate Factor Base: Total cpu/real time for makefb: 0.64/0.895594
Info:Quadratic Characters: Total cpu/real time for characters: 3.59/2.97372
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.05/73.6539
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 16.18/12.7718
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13102.2/7568.23
Info:root: Cleaning up computation data in /tmp/cado.vcuyc7iu
20658941245029791219504653009096452084084819577 113397256956780819800072206610180069921334720083655720179
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)

41×10134+229

c113

name 名前Eric Jeancolas
date 日付July 4, 2022 11:07:20 UTC 2022 年 7 月 4 日 (月) 20 時 7 分 20 秒 (日本時間)
composite number 合成数
66313109054942071052667302988065456278576727492699421006415509118217796123662949454434467797044834921867098717117<113>
prime factors 素因数
228757519457753459317172143379429752443168698664101<51>
289883843871583249337002289772932754754640834300034072079087417<63>
factorization results 素因数分解の結果
66313109054942071052667302988065456278576727492699421006415509118217796123662949454434467797044834921867098717117=228757519457753459317172143379429752443168698664101*289883843871583249337002289772932754754640834300034072079087417

cado polynomial
n: 66313109054942071052667302988065456278576727492699421006415509118217796123662949454434467797044834921867098717117
skew: 0.27
type: snfs
c0: 11
c4: 2050
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 2050*x^4+11
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1260000
tasks.lim1 = 1260000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 228757519457753459317172143379429752443168698664101 289883843871583249337002289772932754754640834300034072079087417
Info:Square Root: Total cpu/real time for sqrt: 16.68/5.39148
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.29/43.9703
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6069424
Info:Lattice Sieving: Average J: 1888.55 for 83731 special-q, max bucket fill -bkmult 1.0,1s:1.304180
Info:Lattice Sieving: Total time: 7666.16s
Info:Linear Algebra: Total cpu/real time for bwc: 215.12/57.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 124.84, WCT time 32.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Linear Algebra: Lingen CPU time 14.72, WCT time 3.8
Info:Linear Algebra: Mksol: CPU time 68.32,  WCT time 17.95, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1920 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.6/11.4637
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.21/23.2126
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.1s
Info:Filtering - Merging: Merged matrix has 121818 rows and total weight 20748176 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 24.23/6.74201
Info:Filtering - Merging: Total cpu/real time for replay: 3.63/3.02288
Info:Generate Factor Base: Total cpu/real time for makefb: 0.65/0.361237
Info:Quadratic Characters: Total cpu/real time for characters: 3.72/1.44762
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.82/46.0079
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.099999999999994s
Info:Square Root: Total cpu/real time for sqrt: 16.68/5.39148
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14217/4146.8
Info:root: Cleaning up computation data in /tmp/cado.qpopz5c7
228757519457753459317172143379429752443168698664101 289883843871583249337002289772932754754640834300034072079087417
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)

41×10136+229

c133

name 名前Bob Backstrom
date 日付June 29, 2022 21:07:31 UTC 2022 年 6 月 30 日 (木) 6 時 7 分 31 秒 (日本時間)
composite number 合成数
4331199425323783566795546259322642665483509750480657497200566225095603304388244490925609008894804673469818934736219391096744205700281<133>
prime factors 素因数
799210708664542210965257630413449993224375967351157<51>
5419346085290938490892182016325974208785925861797840681562518038718961059880145333<82>
factorization results 素因数分解の結果
Number: n
N=4331199425323783566795546259322642665483509750480657497200566225095603304388244490925609008894804673469818934736219391096744205700281  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:

Thu Jun 30 07:03:56 2022  p51 factor: 799210708664542210965257630413449993224375967351157
Thu Jun 30 07:03:56 2022  p82 factor: 5419346085290938490892182016325974208785925861797840681562518038718961059880145333
Thu Jun 30 07:03:56 2022  elapsed time 00:02:52 (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 = 41x10^136+22 = 45(135)8
#
n: 4331199425323783566795546259322642665483509750480657497200566225095603304388244490925609008894804673469818934736219391096744205700281
m: 10000000000000000000000000000000000
deg: 4
c4: 41
c0: 22
skew: 0.86
# Murphy_E = 5.59e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6290000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 556287 hash collisions in 6456844 relations (6581355 unique)
Msieve: matrix is 224396 x 224644 (73.5 MB)

Sieving start time : 2022/06/30 06:49:50
Sieving end time  : 2022/06/30 07:00:54

Total sieving time: 0hrs 11min 4secs.

Total relation processing time: 0hrs 1min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

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

41×10137+229

c125

name 名前Bob Backstrom
date 日付June 30, 2022 04:31:27 UTC 2022 年 6 月 30 日 (木) 13 時 31 分 27 秒 (日本時間)
composite number 合成数
94373114177638886683533589913243531464641201017053612231226938665072670748217861791695858460907750655514825992156717988040751<125>
prime factors 素因数
237976655445235134351463457377296970414988931923<48>
396564587400702809832960303277801186189492701880638136675206942830265429725237<78>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 94373114177638886683533589913243531464641201017053612231226938665072670748217861791695858460907750655514825992156717988040751 (125 digits)
Using B1=20080000, B2=70272304840, polynomial Dickson(12), sigma=1:324052807
Step 1 took 30574ms
Step 2 took 13921ms
********** Factor found in step 2: 237976655445235134351463457377296970414988931923
Found prime factor of 48 digits: 237976655445235134351463457377296970414988931923
Prime cofactor 396564587400702809832960303277801186189492701880638136675206942830265429725237 has 78 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)

41×10139+229

c97

name 名前Eric Jeancolas
date 日付June 29, 2022 16:45:55 UTC 2022 年 6 月 30 日 (木) 1 時 45 分 55 秒 (日本時間)
composite number 合成数
3178300130260387095176711307751132653522348735649940505676448027191733541867627768932864517216851<97>
prime factors 素因数
2921799441144908937015529060987747307<37>
1087788602291938355231199601519221188494139374942738683463993<61>
factorization results 素因数分解の結果
3178300130260387095176711307751132653522348735649940505676448027191733541867627768932864517216851=2921799441144908937015529060987747307*1087788602291938355231199601519221188494139374942738683463993

cado polynomial
n: 3178300130260387095176711307751132653522348735649940505676448027191733541867627768932864517216851
skew: 1485554.457
c0: -514109334349759713019155792
c1: 3193629818009226637184
c2: 2626833182582068
c3: -1889759055
c4: -180
Y0: -470692261648361553316021
Y1: 3588471786000547
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 7.480e-06
# f(x) = -180*x^4-1889759055*x^3+2626833182582068*x^2+3193629818009226637184*x-514109334349759713019155792
# g(x) = 3588471786000547*x-470692261648361553316021

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 50
tasks.sieve.ncurves0 = 11
tasks.sieve.ncurves1 = 14
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1087788602291938355231199601519221188494139374942738683463993 2921799441144908937015529060987747307
Info:Square Root: Total cpu/real time for sqrt: 30.63/27.6767
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.32/18.9952
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.099999999999998s
Info:Square Root: Total cpu/real time for sqrt: 30.63/27.6767
Info:Generate Free Relations: Total cpu/real time for freerel: 24.07/16.1375
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7366/31.540/37.280/46.380/1.365
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4849/30.240/35.314/40.400/1.191
Info:Polynomial Selection (size optimized): Total time: 127.17
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.78/56.7842
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.6s
Info:Linear Algebra: Total cpu/real time for bwc: 354.76/339.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 140.85, WCT time 137.19, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4736 iterations)
Info:Linear Algebra: Lingen CPU time 123.29, WCT time 104.6
Info:Linear Algebra: Mksol: CPU time 79.38,  WCT time 86.54, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2432 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.476263
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.28/36.1157
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 54.62
Info:Polynomial Selection (root optimized): Rootsieve time: 54.23
Info:Filtering - Merging: Merged matrix has 148905 rows and total weight 21719092 (145.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 24.23/19.1732
Info:Filtering - Merging: Total cpu/real time for replay: 5/5.55573
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2705328
Info:Lattice Sieving: Average J: 990.581 for 60985 special-q, max bucket fill -bkmult 1.0,1s:1.358560
Info:Lattice Sieving: Total time: 4499.45s
Info:Quadratic Characters: Total cpu/real time for characters: 5.48/5.52061
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4610/2903.07
1087788602291938355231199601519221188494139374942738683463993 2921799441144908937015529060987747307
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)

41×10142+229

c139

name 名前Bob Backstrom
date 日付June 30, 2022 20:21:25 UTC 2022 年 7 月 1 日 (金) 5 時 21 分 25 秒 (日本時間)
composite number 合成数
2999839033027496085575895927535595650965070166966650569969416275224256259420226231763173683363331723663608294189092292608689289842984035003<139>
prime factors 素因数
2661152815696220000609531320981531907<37>
1127270487938013370260582194065551923717522940077906946567023650385675694043007812812611267559932017129<103>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2999839033027496085575895927535595650965070166966650569969416275224256259420226231763173683363331723663608294189092292608689289842984035003 (139 digits)
Using B1=17390000, B2=58559766730, polynomial Dickson(12), sigma=1:481730222
Step 1 took 34631ms
Step 2 took 14534ms
********** Factor found in step 2: 2661152815696220000609531320981531907
Found prime factor of 37 digits: 2661152815696220000609531320981531907
Prime cofactor 1127270487938013370260582194065551923717522940077906946567023650385675694043007812812611267559932017129 has 103 digits

ECM

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

41×10144+229

c114

name 名前Eric Jeancolas
date 日付July 5, 2022 07:25:38 UTC 2022 年 7 月 5 日 (火) 16 時 25 分 38 秒 (日本時間)
composite number 合成数
489221036307705664283701193155027320434206139587735683308525640137474925818916325061117191498570792288485228426847<114>
prime factors 素因数
192825230473317283858620807969634762676128231363<48>
2537121491346553618425436952679782538003315800594334706750902415669<67>
factorization results 素因数分解の結果
489221036307705664283701193155027320434206139587735683308525640137474925818916325061117191498570792288485228426847=192825230473317283858620807969634762676128231363*2537121491346553618425436952679782538003315800594334706750902415669

cado polynomial
n: 489221036307705664283701193155027320434206139587735683308525640137474925818916325061117191498570792288485228426847
skew: 0.86
type: snfs
c0: 22
c4: 41
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4+22
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1870000
tasks.lim1 = 1870000
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: 2537121491346553618425436952679782538003315800594334706750902415669 192825230473317283858620807969634762676128231363
Info:Square Root: Total cpu/real time for sqrt: 40.28/36.1216
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.87/50.3841
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6041109
Info:Lattice Sieving: Average J: 1892.26 for 149655 special-q, max bucket fill -bkmult 1.0,1s:1.291450
Info:Lattice Sieving: Total time: 19270.9s
Info:Linear Algebra: Total cpu/real time for bwc: 1165.42/1118.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 542.71, WCT time 524.4, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7808 iterations)
Info:Linear Algebra: Lingen CPU time 304.43, WCT time 270.35
Info:Linear Algebra: Mksol: CPU time 295.11,  WCT time 302.44, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3968 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.44/11.1773
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.23/39.2733
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.1s
Info:Filtering - Merging: Merged matrix has 246820 rows and total weight 42148664 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53/41.7538
Info:Filtering - Merging: Total cpu/real time for replay: 8.62/9.54179
Info:Generate Factor Base: Total cpu/real time for makefb: 0.93/0.517252
Info:Quadratic Characters: Total cpu/real time for characters: 8.19/8.05514
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.97/75.1608
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.0s
Info:Square Root: Total cpu/real time for sqrt: 40.28/36.1216
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24551.8/11270.7
Info:root: Cleaning up computation data in /tmp/cado.ou6rh7x_
2537121491346553618425436952679782538003315800594334706750902415669 192825230473317283858620807969634762676128231363
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)

41×10146+229

c130

name 名前Bob Backstrom
date 日付July 1, 2022 10:31:14 UTC 2022 年 7 月 1 日 (金) 19 時 31 分 14 秒 (日本時間)
composite number 合成数
1526474083274922384594908761089724818708169582139486397854661672911380443807312279517467130630099560341629235853234075218183741287<130>
prime factors 素因数
2388993478643032754144644285022357<34>
638961176295036088671318719255113363160179204832554148573116464106662884536966107553346873652491<96>
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 1526474083274922384594908761089724818708169582139486397854661672911380443807312279517467130630099560341629235853234075218183741287 (130 digits)
Using B1=16930000, B2=58559441860, polynomial Dickson(12), sigma=1:2433384022
Step 1 took 25571ms
Step 2 took 12594ms
********** Factor found in step 2: 2388993478643032754144644285022357
Found prime factor of 34 digits: 2388993478643032754144644285022357
Prime cofactor 638961176295036088671318719255113363160179204832554148573116464106662884536966107553346873652491 has 96 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)

41×10147+229

c142

name 名前Bob Backstrom
date 日付July 1, 2022 10:56:35 UTC 2022 年 7 月 1 日 (金) 19 時 56 分 35 秒 (日本時間)
composite number 合成数
2150390778453000482212019929192352035544176316938649141296513608144883050735271055708652889270294785008650340270493984622712888949309624907861<142>
prime factors 素因数
51438715245825661482012323350309162909449841329073<50>
41804908388094088752292218261583565826520031332639635368060049150460499907759110374363945957<92>
factorization results 素因数分解の結果
Number: n
N=2150390778453000482212019929192352035544176316938649141296513608144883050735271055708652889270294785008650340270493984622712888949309624907861  ( 142 digits)
SNFS difficulty: 148 digits.
Divisors found:

Fri Jul  1 20:44:50 2022  p50 factor: 51438715245825661482012323350309162909449841329073
Fri Jul  1 20:44:50 2022  p92 factor: 41804908388094088752292218261583565826520031332639635368060049150460499907759110374363945957
Fri Jul  1 20:44:50 2022  elapsed time 00:04:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 41x10^147+22 = 45(146)8
#
n: 2150390778453000482212019929192352035544176316938649141296513608144883050735271055708652889270294785008650340270493984622712888949309624907861
m: 100000000000000000000000000000
deg: 5
c5: 2050
c0: 11
skew: 0.35
# Murphy_E = 1.463e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 777563 hash collisions in 7286850 relations (6965261 unique)
Msieve: matrix is 351110 x 351335 (117.8 MB)

Sieving start time : 2022/07/01 20:23:11
Sieving end time  : 2022/07/01 20:40:29

Total sieving time: 0hrs 17min 18secs.

Total relation processing time: 0hrs 2min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] 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)

41×10148+229

c123

name 名前Eric Jeancolas
date 日付July 5, 2022 13:18:24 UTC 2022 年 7 月 5 日 (火) 22 時 18 分 24 秒 (日本時間)
composite number 合成数
399391955437835993879991572779953455623472684791656846504726413698404121586485129181359532363215202716073568011659964313773<123>
prime factors 素因数
14936604759186126541116455856945043553899069<44>
26739139307559629747865408745646772976069020739303416810195714964552022629658417<80>
factorization results 素因数分解の結果
399391955437835993879991572779953455623472684791656846504726413698404121586485129181359532363215202716073568011659964313773=14936604759186126541116455856945043553899069*26739139307559629747865408745646772976069020739303416810195714964552022629658417

cado polynomial
n: 399391955437835993879991572779953455623472684791656846504726413698404121586485129181359532363215202716073568011659964313773
skew: 0.86
type: snfs
c0: 22
c4: 41
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4+22
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
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: 14936604759186126541116455856945043553899069 26739139307559629747865408745646772976069020739303416810195714964552022629658417
Info:Square Root: Total cpu/real time for sqrt: 53.15/17.3657
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6060791
Info:Lattice Sieving: Average J: 1892.71 for 224941 special-q, max bucket fill -bkmult 1.0,1s:1.309250
Info:Lattice Sieving: Total time: 19100.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.23/11.1596
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.28/23.7718
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50/48.0407
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.0s
Info:Filtering - Merging: Merged matrix has 318651 rows and total weight 54242996 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.52/18.1638
Info:Filtering - Merging: Total cpu/real time for replay: 10.13/8.44802
Info:Linear Algebra: Total cpu/real time for bwc: 1494.94/385.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 916.91, WCT time 234.11, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 47.54, WCT time 12.13
Info:Linear Algebra: Mksol: CPU time 501.9,  WCT time 128.16, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.12/0.617804
Info:Quadratic Characters: Total cpu/real time for characters: 10.14/4.00647
Info:Square Root: Total cpu/real time for sqrt: 53.15/17.3657
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.94/31.1814
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 36636.2/10238.9
Info:root: Cleaning up computation data in /tmp/cado.jt9je0st
14936604759186126541116455856945043553899069 26739139307559629747865408745646772976069020739303416810195714964552022629658417
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)

41×10151+229

c135

name 名前Bob Backstrom
date 日付July 3, 2022 13:47:01 UTC 2022 年 7 月 3 日 (日) 22 時 47 分 1 秒 (日本時間)
composite number 合成数
225536068332607122131075531630492101347115462815975772633671610595909347311292558899648877005065199193091560786617800359776751306015957<135>
prime factors 素因数
305933898392725766083499122499364417668610868537<48>
737205224780575428318067176891840632085392113382927043351482143215741164545943382849661<87>
factorization results 素因数分解の結果
Number: n
N=225536068332607122131075531630492101347115462815975772633671610595909347311292558899648877005065199193091560786617800359776751306015957  ( 135 digits)
SNFS difficulty: 152 digits.
Divisors found:

Sun Jul  3 23:43:23 2022  p48 factor: 305933898392725766083499122499364417668610868537
Sun Jul  3 23:43:23 2022  p87 factor: 737205224780575428318067176891840632085392113382927043351482143215741164545943382849661
Sun Jul  3 23:43:23 2022  elapsed time 00:05:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 41x10^151+22 = 45(150)8
#
n: 225536068332607122131075531630492101347115462815975772633671610595909347311292558899648877005065199193091560786617800359776751306015957
m: 1000000000000000000000000000000
deg: 5
c5: 205
c0: 11
skew: 0.56
# Murphy_E = 1.03e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 811387 hash collisions in 11660238 relations (11628161 unique)
Msieve: matrix is 383362 x 383591 (128.5 MB)

Sieving start time : 2022/07/03 23:44:06
Sieving end time  : 2022/07/03 23:37:15

Total sieving time: 0hrs -7min 9secs.

Total relation processing time: 0hrs 2min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
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)

41×10154+229

c104

name 名前Dmitry Domanov
date 日付June 30, 2022 18:59:59 UTC 2022 年 7 月 1 日 (金) 3 時 59 分 59 秒 (日本時間)
composite number 合成数
17193920678108255708208926270422272866965261411673321063448625832493342364441129794653710415817417449321<104>
prime factors 素因数
286411446682064101234874935822824110986726691039549<51>
60032239902739152239854096005603817142598849776777629<53>
factorization results 素因数分解の結果
N=17193920678108255708208926270422272866965261411673321063448625832493342364441129794653710415817417449321
  ( 104 digits)
Divisors found:
p51 factor: 286411446682064101234874935822824110986726691039549
p53 factor: 60032239902739152239854096005603817142598849776777629
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17193920678108255708208926270422272866965261411673321063448625832493342364441129794653710415817417449321
skew: 926107.53
c0: 619292638913702981028766041
c1: 4233928264755304538018
c2: -79208396862892397
c3: -12295679746
c4: 23520
Y0: -5199776604455086183046918
Y1: 26134345939019
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 50000
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277191 x 277418
Total sieving time: 2.56 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 2.62 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)

41×10156+229

c127

name 名前Eric Jeancolas
date 日付July 6, 2022 16:02:07 UTC 2022 年 7 月 7 日 (木) 1 時 2 分 7 秒 (日本時間)
composite number 合成数
3865545263417508821733186812220154472312876788307485489133293616021411580514886867320711783733301542342064934714672345317671843<127>
prime factors 素因数
96507078960706551471261676805354215601<38>
40054525585541649863547314258925891928802392227193449411941309431996197254274504390801043<89>
factorization results 素因数分解の結果
3865545263417508821733186812220154472312876788307485489133293616021411580514886867320711783733301542342064934714672345317671843=
96507078960706551471261676805354215601*40054525585541649863547314258925891928802392227193449411941309431996197254274504390801043

cado polynomial
n: 3865545263417508821733186812220154472312876788307485489133293616021411580514886867320711783733301542342064934714672345317671843
skew: 0.56
type: snfs
c0: 11
c5: 205
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 205*x^5+11
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 40054525585541649863547314258925891928802392227193449411941309431996197254274504390801043 96507078960706551471261676805354215601
Info:Square Root: Total cpu/real time for sqrt: 61.26/19.8995
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11659034
Info:Lattice Sieving: Average J: 1894.21 for 259853 special-q, max bucket fill -bkmult 1.0,1s:1.256350
Info:Lattice Sieving: Total time: 30274.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.49/17.2119
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.62/48.2451
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.95/87.1591
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.80000000000001s
Info:Filtering - Merging: Merged matrix has 337089 rows and total weight 57505791 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.56/19.1162
Info:Filtering - Merging: Total cpu/real time for replay: 10.64/8.79029
Info:Linear Algebra: Total cpu/real time for bwc: 1554.53/403.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 952.32, WCT time 245.46, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10624 iterations)
Info:Linear Algebra: Lingen CPU time 50.93, WCT time 12.97
Info:Linear Algebra: Mksol: CPU time 522.02,  WCT time 133.43, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.24/0.695064
Info:Quadratic Characters: Total cpu/real time for characters: 10.47/4.13433
Info:Square Root: Total cpu/real time for sqrt: 61.26/19.8995
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.76/74.9043
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57353.7/15986.2
Info:root: Cleaning up computation data in /tmp/cado.m5owc8jk
40054525585541649863547314258925891928802392227193449411941309431996197254274504390801043 96507078960706551471261676805354215601
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)

41×10157+229

c143

name 名前Bob Backstrom
date 日付July 1, 2022 09:39:23 UTC 2022 年 7 月 1 日 (金) 18 時 39 分 23 秒 (日本時間)
composite number 合成数
85081726038573685453020388782833394489580328868996709578212030514788579776593945626564189504164605653464980281777178264356512394035483479828593<143>
prime factors 素因数
204150529279198074086886157682065344876320597657<48>
416759762215532453925383168353062962657915915611493603106177931455614021364299907274489180516249<96>
factorization results 素因数分解の結果
Number: n
N=85081726038573685453020388782833394489580328868996709578212030514788579776593945626564189504164605653464980281777178264356512394035483479828593  ( 143 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Jul  1 19:34:38 2022  p48 factor: 204150529279198074086886157682065344876320597657
Fri Jul  1 19:34:38 2022  p96 factor: 416759762215532453925383168353062962657915915611493603106177931455614021364299907274489180516249
Fri Jul  1 19:34:38 2022  elapsed time 00:06:12 (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 = 41x10^157+22 = 45(156)8
#
n: 85081726038573685453020388782833394489580328868996709578212030514788579776593945626564189504164605653464980281777178264356512394035483479828593
m: 10000000000000000000000000000000
deg: 5
c5: 2050
c0: 11
skew: 0.35
# Murphy_E = 6.085e-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, 14300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1044737 hash collisions in 11807216 relations (11505583 unique)
Msieve: matrix is 439196 x 439421 (150.6 MB)

Sieving start time : 2022/07/01 18:38:31
Sieving end time  : 2022/07/01 19:28:02

Total sieving time: 0hrs 49min 31secs.

Total relation processing time: 0hrs 3min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] 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)

41×10158+229

c126

name 名前Eric Jeancolas
date 日付July 7, 2022 09:26:40 UTC 2022 年 7 月 7 日 (木) 18 時 26 分 40 秒 (日本時間)
composite number 合成数
156432825036795928071249194728817356417670065886599374136478391545171977115867689518178942023471758803390587701268845790249487<126>
prime factors 素因数
93813952495938112374173907090125239744241<41>
1667479312776732668396398738025216597007664075810252225185968389163160555389852567807<85>
factorization results 素因数分解の結果
156432825036795928071249194728817356417670065886599374136478391545171977115867689518178942023471758803390587701268845790249487=93813952495938112374173907090125239744241*1667479312776732668396398738025216597007664075810252225185968389163160555389852567807

cado polynomial
n: 156432825036795928071249194728817356417670065886599374136478391545171977115867689518178942023471758803390587701268845790249487
skew: 0.22
type: snfs
c0: 11
c5: 20500
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 20500*x^5+11
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3200000
tasks.lim1 = 3200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 93813952495938112374173907090125239744241 1667479312776732668396398738025216597007664075810252225185968389163160555389852567807
Info:Square Root: Total cpu/real time for sqrt: 145.74/44.2356
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.58/71.935
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645330
Info:Lattice Sieving: Average J: 1895.37 for 317283 special-q, max bucket fill -bkmult 1.0,1s:1.240800
Info:Lattice Sieving: Total time: 36915.4s
Info:Linear Algebra: Total cpu/real time for bwc: 2098.31/545.77
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1296.78, WCT time 334.06, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11904 iterations)
Info:Linear Algebra: Lingen CPU time 57.73, WCT time 14.75
Info:Linear Algebra: Mksol: CPU time 709.09,  WCT time 182.73, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.08/18.2436
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.05/49.7792
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.7s
Info:Filtering - Merging: Merged matrix has 379457 rows and total weight 64597944 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.15/21.5416
Info:Filtering - Merging: Total cpu/real time for replay: 11.86/9.97211
Info:Generate Factor Base: Total cpu/real time for makefb: 1.4/0.789903
Info:Quadratic Characters: Total cpu/real time for characters: 11.64/4.6095
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.2/85.935
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 145.74/44.2356
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 70117.5/19509.4
Info:root: Cleaning up computation data in /tmp/cado.5gnjfqss
93813952495938112374173907090125239744241 1667479312776732668396398738025216597007664075810252225185968389163160555389852567807
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)

41×10159+229

c145

name 名前Bob Backstrom
date 日付July 1, 2022 02:00:29 UTC 2022 年 7 月 1 日 (金) 11 時 0 分 29 秒 (日本時間)
composite number 合成数
6837392181978082433841220530900496358536004358322609418806247391135638130027798881215280061838986788617902969482580370973563606427155241255104063<145>
prime factors 素因数
15473544073734988552846564672885820671<38>
11162853589775952459273089647991652188894533<44>
39584527571753211189221244399790068108027354249419867584420676941<65>
factorization results 素因数分解の結果
Number: n
N=441876285703930500064338654027151186540970618437712114065345922887226782405396075983876071237878378314063553  ( 108 digits)
SNFS difficulty: 161 digits.
Divisors found:

Fri Jul  1 11:56:42 2022  p44 factor: 11162853589775952459273089647991652188894533
Fri Jul  1 11:56:42 2022  p65 factor: 39584527571753211189221244399790068108027354249419867584420676941
Fri Jul  1 11:56:42 2022  elapsed time 00:08:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 41x10^159+22 = 45(158)8
#
# n: 6837392181978082433841220530900496358536004358322609418806247391135638130027798881215280061838986788617902969482580370973563606427155241255104063
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 6837392181978082433841220530900496358536004358322609418806247391135638130027798881215280061838986788617902969482580370973563606427155241255104063 (145 digits)
# Using B1=16680000, B2=58559116990, polynomial Dickson(12), sigma=1:1266861886
# Step 1 took 33946ms
# Step 2 took 18876ms
# ********** Factor found in step 2: 15473544073734988552846564672885820671
# Found prime factor of 38 digits: 15473544073734988552846564672885820671
# Composite cofactor 441876285703930500064338654027151186540970618437712114065345922887226782405396075983876071237878378314063553 has 108 digits
#
n: 441876285703930500064338654027151186540970618437712114065345922887226782405396075983876071237878378314063553
m: 50000000000000000000000000000000
deg: 5
c5: 328
c0: 55
skew: 0.70
# Murphy_E = 4.863e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 36100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 806541 hash collisions in 11676768 relations (11657799 unique)
Msieve: matrix is 562122 x 562348 (193.4 MB)

Sieving start time : 2022/07/01 08:23:09
Sieving end time  : 2022/07/01 11:47:01

Total sieving time: 3hrs 23min 52secs.

Total relation processing time: 0hrs 4min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
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)

41×10162+229

c134

name 名前Eric Jeancolas
date 日付July 7, 2022 19:49:58 UTC 2022 年 7 月 8 日 (金) 4 時 49 分 58 秒 (日本時間)
composite number 合成数
83542158348445435270646849755553445735842897580980194585639524117063685257559047886684438865511955555829758918296917903319887370728851<134>
prime factors 素因数
5314708592731772837471935706152858497566299<43>
51240652010078950563447649834484962863358081<44>
306769082190995105827793992046032318862195535529<48>
factorization results 素因数分解の結果
83542158348445435270646849755553445735842897580980194585639524117063685257559047886684438865511955555829758918296917903319887370728851=5314708592731772837471935706152858497566299*51240652010078950563447649834484962863358081*306769082190995105827793992046032318862195535529

cado polynomial
n: 83542158348445435270646849755553445735842897580980194585639524117063685257559047886684438865511955555829758918296917903319887370728851
skew: 0.35
type: snfs
c0: 11
c5: 2050
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 2050*x^5+11
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
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: 51240652010078950563447649834484962863358081 306769082190995105827793992046032318862195535529 5314708592731772837471935706152858497566299
Info:Square Root: Total cpu/real time for sqrt: 102.53/32.6019
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635569
Info:Lattice Sieving: Average J: 1894.21 for 316408 special-q, max bucket fill -bkmult 1.0,1s:1.234800
Info:Lattice Sieving: Total time: 38228.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.46/17.3052
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.13/49.8604
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.4/88.6673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.3s
Info:Filtering - Merging: Merged matrix has 479114 rows and total weight 81811494 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 99.88/28.0654
Info:Filtering - Merging: Total cpu/real time for replay: 15.81/13.1284
Info:Linear Algebra: Total cpu/real time for bwc: 3338.04/860.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2084.48, WCT time 532.86, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Linear Algebra: Lingen CPU time 75.89, WCT time 19.34
Info:Linear Algebra: Mksol: CPU time 1132.83,  WCT time 289.52, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.61/0.887611
Info:Quadratic Characters: Total cpu/real time for characters: 15.56/6.15462
Info:Square Root: Total cpu/real time for sqrt: 102.53/32.6019
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.39/63.9996
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 74289.2/20422.1
Info:root: Cleaning up computation data in /tmp/cado.hb_o3wus
51240652010078950563447649834484962863358081 306769082190995105827793992046032318862195535529 5314708592731772837471935706152858497566299
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)

41×10165+229

c161

name 名前Bob Backstrom
date 日付July 2, 2022 02:03:47 UTC 2022 年 7 月 2 日 (土) 11 時 3 分 47 秒 (日本時間)
composite number 合成数
87234413763462823246056366197302967246669134762275584151421920944344444018910718769016038366120706896625092021668177311392814437508244715934961425367767522414989<161>
prime factors 素因数
22484391047743134476599159902656983663286073450334708267887516489412870351663<77>
3879776578259563638216853408565750204343195409178816042559858063308031461242078720003<85>
factorization results 素因数分解の結果
Number: n
N=87234413763462823246056366197302967246669134762275584151421920944344444018910718769016038366120706896625092021668177311392814437508244715934961425367767522414989  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Jul  2 11:59:55 2022  p77 factor: 22484391047743134476599159902656983663286073450334708267887516489412870351663
Sat Jul  2 11:59:55 2022  p85 factor: 3879776578259563638216853408565750204343195409178816042559858063308031461242078720003
Sat Jul  2 11:59:55 2022  elapsed time 00:10:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 41x10^165+22 = 45(164)8
#
n: 87234413763462823246056366197302967246669134762275584151421920944344444018910718769016038366120706896625092021668177311392814437508244715934961425367767522414989
m: 1000000000000000000000000000000000
deg: 5
c5: 41
c0: 22
skew: 0.88
# Murphy_E = 3.08e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1386170 hash collisions in 13312916 relations (12738040 unique)
Msieve: matrix is 627661 x 627886 (214.4 MB)

Sieving start time : 2022/07/02 10:35:43
Sieving end time  : 2022/07/02 11:49:10

Total sieving time: 1hrs 13min 27secs.

Total relation processing time: 0hrs 6min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

ECM

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

41×10168+229

c112

name 名前Eric Jeancolas
date 日付July 2, 2022 16:29:27 UTC 2022 年 7 月 3 日 (日) 1 時 29 分 27 秒 (日本時間)
composite number 合成数
4178229507731221743890398496439292056209665844539177189316455187272524497752225255955437243285162693214501746441<112>
prime factors 素因数
4697503884688702041918631148513075264666387374906042649<55>
889457382110948059544167142811929424743499419865204247409<57>
factorization results 素因数分解の結果
4178229507731221743890398496439292056209665844539177189316455187272524497752225255955437243285162693214501746441=4697503884688702041918631148513075264666387374906042649*889457382110948059544167142811929424743499419865204247409

cado polynomial
n: 4178229507731221743890398496439292056209665844539177189316455187272524497752225255955437243285162693214501746441
skew: 3676.016
c0: 285935216660799136551848
c1: -261243558383636994618
c2: -189896280743534761
c3: 42094972955393
c4: 6237656628
c5: 146160
Y0: -2148120579614755487613
Y1: 323131790838776881
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.404e-06
# f(x) = 146160*x^5+6237656628*x^4+42094972955393*x^3-189896280743534761*x^2-261243558383636994618*x+285935216660799136551848
# g(x) = 323131790838776881*x-2148120579614755487613

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: 889457382110948059544167142811929424743499419865204247409 4697503884688702041918631148513075264666387374906042649
Info:Square Root: Total cpu/real time for sqrt: 97.71/29.3836
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.94/99.0301
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.00s
Info:Square Root: Total cpu/real time for sqrt: 97.71/29.3836
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.78/81.0008
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5450207
Info:Lattice Sieving: Average J: 1896.85 for 109229 special-q, max bucket fill -bkmult 1.0,1s:1.256010
Info:Lattice Sieving: Total time: 10170.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.609514
Info:Linear Algebra: Total cpu/real time for bwc: 1251.98/323.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 761.23, WCT time 194.8, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Linear Algebra: Lingen CPU time 46.71, WCT time 11.9
Info:Linear Algebra: Mksol: CPU time 418.6,  WCT time 107.06, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.6/16.3851
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.83/22.8077
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 255.4
Info:Polynomial Selection (root optimized): Rootsieve time: 254.44
Info:Filtering - Merging: Merged matrix has 308196 rows and total weight 47907644 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.76/13.9818
Info:Filtering - Merging: Total cpu/real time for replay: 10.18/8.22189
Info:Quadratic Characters: Total cpu/real time for characters: 11.51/4.45557
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): 11842/31.970/39.748/45.360/1.100
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9344/30.960/35.206/40.170/0.906
Info:Polynomial Selection (size optimized): Total time: 705.64
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21066.6/5900.01
Info:root: Cleaning up computation data in /tmp/cado.q04a_ry9
889457382110948059544167142811929424743499419865204247409 4697503884688702041918631148513075264666387374906042649
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 09:59:21 UTC 2022 年 7 月 2 日 (土) 18 時 59 分 21 秒 (日本時間)

41×10169+229

c132

name 名前Eric Jeancolas
date 日付July 9, 2022 02:51:18 UTC 2022 年 7 月 9 日 (土) 11 時 51 分 18 秒 (日本時間)
composite number 合成数
278963187023663652177879995348754290674315537635126460719026654949724371898501806238925488914249214302286161288139604613191461231781<132>
prime factors 素因数
2223250133499884567065663285880321885889197<43>
125475394252878895046213054116734758099364332739393029795360487461471469695334911619373273<90>
factorization results 素因数分解の結果
278963187023663652177879995348754290674315537635126460719026654949724371898501806238925488914249214302286161288139604613191461231781=2223250133499884567065663285880321885889197*125475394252878895046213054116734758099364332739393029795360487461471469695334911619373273

cado polynomial
n: 278963187023663652177879995348754290674315537635126460719026654949724371898501806238925488914249214302286161288139604613191461231781
skew: 0.70
type: snfs
c0: 55
c5: 328
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 328*x^5+55
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5000000
tasks.lim1 = 5000000
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: 125475394252878895046213054116734758099364332739393029795360487461471469695334911619373273 2223250133499884567065663285880321885889197
Info:Square Root: Total cpu/real time for sqrt: 213.96/68.5891
Info:Quadratic Characters: Total cpu/real time for characters: 31.54/12.4255
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.77/113.246
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.4s
Info:Square Root: Total cpu/real time for sqrt: 213.96/68.5891
Info:Linear Algebra: Total cpu/real time for bwc: 11508.7/2957.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7258.53, WCT time 1856.81, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Linear Algebra: Lingen CPU time 151.25, WCT time 38.47
Info:Linear Algebra: Mksol: CPU time 3963.2,  WCT time 1012.92, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.78/76.5101
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11751524
Info:Lattice Sieving: Average J: 1892.93 for 485262 special-q, max bucket fill -bkmult 1.0,1s:1.244500
Info:Lattice Sieving: Total time: 63078.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.32/17.2037
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.93/52.6732
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.5s
Info:Filtering - Merging: Merged matrix has 865557 rows and total weight 147824504 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 201.65/57.0591
Info:Filtering - Merging: Total cpu/real time for replay: 32.43/27.1344
Info:Generate Factor Base: Total cpu/real time for makefb: 2.17/1.16992
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128954/34985.4
Info:root: Cleaning up computation data in /tmp/cado.400k6n_p
125475394252878895046213054116734758099364332739393029795360487461471469695334911619373273 2223250133499884567065663285880321885889197
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)

41×10171+229

c153

name 名前Bob Backstrom
date 日付July 3, 2022 02:11:59 UTC 2022 年 7 月 3 日 (日) 11 時 11 分 59 秒 (日本時間)
composite number 合成数
245573474885465028095080800208686502728656715428148703917695649666818343170719029378181945131030624585443306834107789761921643924667523859210918682422639<153>
prime factors 素因数
15968981817601202192509039919171845730693<41>
15378154831060738986243383205976496315302709307236542247998059290713878989649439754013702933319585799898061101923<113>
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 245573474885465028095080800208686502728656715428148703917695649666818343170719029378181945131030624585443306834107789761921643924667523859210918682422639 (153 digits)
Using B1=17500000, B2=58559766730, polynomial Dickson(12), sigma=1:1164488975
Step 1 took 33328ms
Step 2 took 14838ms
********** Factor found in step 2: 15968981817601202192509039919171845730693
Found prime factor of 41 digits: 15968981817601202192509039919171845730693
Prime cofactor 15378154831060738986243383205976496315302709307236542247998059290713878989649439754013702933319585799898061101923 has 113 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)

41×10174+229

c123

name 名前Eric Jeancolas
date 日付July 8, 2022 16:50:01 UTC 2022 年 7 月 9 日 (土) 1 時 50 分 1 秒 (日本時間)
composite number 合成数
635288201707122201491972645596580976066404564905424664545289145392860226258909400439431576311139223852978125882215437334809<123>
prime factors 素因数
43019788014017786149776507528048870551<38>
9996588397520463060684913544004380604629<40>
1477238824484887579327498837061394453498660371<46>
factorization results 素因数分解の結果
635288201707122201491972645596580976066404564905424664545289145392860226258909400439431576311139223852978125882215437334809=43019788014017786149776507528048870551*9996588397520463060684913544004380604629*1477238824484887579327498837061394453498660371

cado polynomial
n: 635288201707122201491972645596580976066404564905424664545289145392860226258909400439431576311139223852978125882215437334809
skew: 37604.352
c0: 13837527383044041478897394736
c1: -2558715198098885267686865
c2: -34705000591721602335
c3: 468512150871965
c4: 19947891144
c5: 408240
Y0: -329352997623641423766695
Y1: 1304007668384549087
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.927e-07
# f(x) = 408240*x^5+19947891144*x^4+468512150871965*x^3-34705000591721602335*x^2-2558715198098885267686865*x+13837527383044041478897394736
# g(x) = 1304007668384549087*x-329352997623641423766695

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: 1477238824484887579327498837061394453498660371 9996588397520463060684913544004380604629 43019788014017786149776507528048870551
Info:Square Root: Total cpu/real time for sqrt: 519.81/151.4
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.36/60.2018
Info:Generate Free Relations: Total cpu/real time for freerel: 126.42/32.8452
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634161
Info:Lattice Sieving: Average J: 3797.37 for 175946 special-q, max bucket fill -bkmult 1.0,1s:1.182980
Info:Lattice Sieving: Total time: 52984.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.29246
Info:Linear Algebra: Total cpu/real time for bwc: 8235.04/2117.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5168.31, WCT time 1322.14, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 127.61, WCT time 32.45
Info:Linear Algebra: Mksol: CPU time 2824.62,  WCT time 721.53, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.57/55.1754
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2555.87
Info:Polynomial Selection (root optimized): Rootsieve time: 2553.39
Info:Filtering - Merging: Merged matrix has 742482 rows and total weight 126735874 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 148.92/42.905
Info:Filtering - Merging: Total cpu/real time for replay: 27.37/22.64
Info:Quadratic Characters: Total cpu/real time for characters: 27.58/10.9033
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): 19962/36.190/43.739/47.850/0.888
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15746/35.340/39.095/44.450/0.874
Info:Polynomial Selection (size optimized): Total time: 1990.71
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.12/103.037
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.1s
Info:Square Root: Total cpu/real time for sqrt: 519.81/151.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 112680/30658.4
Info:root: Cleaning up computation data in /tmp/cado.kfom0x_t
1477238824484887579327498837061394453498660371 9996588397520463060684913544004380604629 43019788014017786149776507528048870551
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)

41×10175+229

c166

name 名前Bob Backstrom
date 日付July 8, 2022 20:07:23 UTC 2022 年 7 月 9 日 (土) 5 時 7 分 23 秒 (日本時間)
composite number 合成数
2079904832854965464039758433129242299255745379968419694355041087142315109700247054039365498218430745520998903355394334090338671958800629987147444091099040828208895233<166>
prime factors 素因数
11159418105046926311530956572083923593<38>
2782552878160498018442085761113875821095732420681<49>
66982058230590073403180359103987917979225593215165815572093994941761501065794801<80>
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 2079904832854965464039758433129242299255745379968419694355041087142315109700247054039365498218430745520998903355394334090338671958800629987147444091099040828208895233 (166 digits)
Using B1=17390000, B2=58559766730, polynomial Dickson(12), sigma=1:1899721527
Step 1 took 40358ms
Step 2 took 16297ms
********** Factor found in step 2: 11159418105046926311530956572083923593
Found prime factor of 38 digits: 11159418105046926311530956572083923593
Composite cofactor 186381118914642484003432870523404407942221890718316477921844631614618140756774546154793836603059724797826917096607318748954679481 has 129 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 186381118914642484003432870523404407942221890718316477921844631614618140756774546154793836603059724797826917096607318748954679481 (129 digits)
Using B1=25700000, B2=96191014936, polynomial Dickson(12), sigma=1:3670171639
Step 1 took 39579ms
Step 2 took 15090ms
********** Factor found in step 2: 2782552878160498018442085761113875821095732420681
Found prime factor of 49 digits: 2782552878160498018442085761113875821095732420681
Prime cofactor 66982058230590073403180359103987917979225593215165815572093994941761501065794801 has 80 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)

41×10176+229

c138

name 名前Eric Jeancolas
date 日付July 13, 2022 04:26:57 UTC 2022 年 7 月 13 日 (水) 13 時 26 分 57 秒 (日本時間)
composite number 合成数
203900413454432055765245833929792093889495223917952160996805556895550684751101210154018911599902903977273487806317487077207024115762253593<138>
prime factors 素因数
656551449129160204530597897158157721929355949592538043<54>
310562734611099319108036042563361632903136426943984178562413271796313744238962753851<84>
factorization results 素因数分解の結果
203900413454432055765245833929792093889495223917952160996805556895550684751101210154018911599902903977273487806317487077207024115762253593=656551449129160204530597897158157721929355949592538043*310562734611099319108036042563361632903136426943984178562413271796313744238962753851

cado polynomial
n: 203900413454432055765245833929792093889495223917952160996805556895550684751101210154018911599902903977273487806317487077207024115762253593
skew: 0.56
type: snfs
c0: 11
c5: 205
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 205*x^5+11
# g(x) = -x+100000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 656551449129160204530597897158157721929355949592538043 310562734611099319108036042563361632903136426943984178562413271796313744238962753851
Info:Square Root: Total cpu/real time for sqrt: 227.55/73.173
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412770
Info:Lattice Sieving: Average J: 1893.72 for 925711 special-q, max bucket fill -bkmult 1.0,1s:1.240700
Info:Lattice Sieving: Total time: 145173s
Info:Generate Free Relations: Total cpu/real time for freerel: 122.24/32.5366
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.99/101.586
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.48/178.623
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.5s
Info:Filtering - Merging: Merged matrix has 1012575 rows and total weight 172374890 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 236.64/66.2539
Info:Filtering - Merging: Total cpu/real time for replay: 35.39/29.9042
Info:Linear Algebra: Total cpu/real time for bwc: 16020.5/4115.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10147.48, WCT time 2595.68, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Linear Algebra: Lingen CPU time 183.09, WCT time 46.6
Info:Linear Algebra: Mksol: CPU time 5524.63,  WCT time 1411.89, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15872 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.71/1.48037
Info:Quadratic Characters: Total cpu/real time for characters: 34.07/13.4489
Info:Square Root: Total cpu/real time for sqrt: 227.55/73.173
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.96/121.056
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 287127/77676.8
Info:root: Cleaning up computation data in /tmp/cado.inwx6r5s
656551449129160204530597897158157721929355949592538043 310562734611099319108036042563361632903136426943984178562413271796313744238962753851
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 12, 2022 13:24:05 UTC 2022 年 7 月 12 日 (火) 22 時 24 分 5 秒 (日本時間)

41×10182+229

c116

name 名前Eric Jeancolas
date 日付July 2, 2022 20:21:27 UTC 2022 年 7 月 3 日 (日) 5 時 21 分 27 秒 (日本時間)
composite number 合成数
77551141234032231569107909158333786781745992913456272059509059640302357221509027249533092640838924899755291115944923<116>
prime factors 素因数
41514473776113929295100492871432076094373700769102799747<56>
1868050686424757775573340671144858381578108180071226561617609<61>
factorization results 素因数分解の結果
77551141234032231569107909158333786781745992913456272059509059640302357221509027249533092640838924899755291115944923=41514473776113929295100492871432076094373700769102799747*1868050686424757775573340671144858381578108180071226561617609

cado polynomial
n: 77551141234032231569107909158333786781745992913456272059509059640302357221509027249533092640838924899755291115944923
skew: 22867.015
c0: -676682108998838043738025950
c1: 10534412959678899871785
c2: 6632534889769731946
c3: -6729305079685
c4: -3683436024
c5: -103680
Y0: -21783051692492706684698
Y1: 144767707000645063
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.312e-07
# f(x) = -103680*x^5-3683436024*x^4-6729305079685*x^3+6632534889769731946*x^2+10534412959678899871785*x-676682108998838043738025950
# g(x) = 144767707000645063*x-21783051692492706684698

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: 41514473776113929295100492871432076094373700769102799747 1868050686424757775573340671144858381578108180071226561617609
Info:Square Root: Total cpu/real time for sqrt: 288.01/83.2122
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 133.96/141.695
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 105.40000000000002s
Info:Square Root: Total cpu/real time for sqrt: 288.01/83.2122
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.13/115.031
Info:Generate Free Relations: Total cpu/real time for freerel: 63.76/16.92
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7561096
Info:Lattice Sieving: Average J: 1899.38 for 190997 special-q, max bucket fill -bkmult 1.0,1s:1.270630
Info:Lattice Sieving: Total time: 21169.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.05/1.09217
Info:Linear Algebra: Total cpu/real time for bwc: 2899.3/748.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1797.39, WCT time 460.0, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Linear Algebra: Lingen CPU time 74.41, WCT time 18.98
Info:Linear Algebra: Mksol: CPU time 988.0,  WCT time 253.27, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.23/33.727
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.800000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 324.75
Info:Polynomial Selection (root optimized): Rootsieve time: 323.64
Info:Filtering - Merging: Merged matrix has 471117 rows and total weight 73299086 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.27/23.44
Info:Filtering - Merging: Total cpu/real time for replay: 16.26/13.1234
Info:Quadratic Characters: Total cpu/real time for characters: 17.21/6.79367
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): 21627/33.790/41.391/46.560/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17131/33.010/36.620/41.820/0.836
Info:Polynomial Selection (size optimized): Total time: 1815.33
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44702.9/12239.4
Info:root: Cleaning up computation data in /tmp/cado.rpl68j4r
41514473776113929295100492871432076094373700769102799747 1868050686424757775573340671144858381578108180071226561617609
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 10:26:28 UTC 2022 年 7 月 2 日 (土) 19 時 26 分 28 秒 (日本時間)

41×10183+229

c184

name 名前Bob Backstrom
date 日付July 6, 2022 14:53:48 UTC 2022 年 7 月 6 日 (水) 23 時 53 分 48 秒 (日本時間)
composite number 合成数
2277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<184>
prime factors 素因数
71195898857227692831209872638514748265607668487686757<53>
31993103736852975362790461351856198240726263932166810813960628039622045644639336539685426413954132290703018727769074415236118278647<131>
factorization results 素因数分解の結果
Number: n
N=2277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779  ( 184 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Jul  7 00:49:23 2022  p53 factor: 71195898857227692831209872638514748265607668487686757
Thu Jul  7 00:49:23 2022  p131 factor: 31993103736852975362790461351856198240726263932166810813960628039622045644639336539685426413954132290703018727769074415236118278647
Thu Jul  7 00:49:23 2022  elapsed time 00:32:03 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^183+22 = 45(182)8
#
n: 2277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000000
deg: 5
c5: 20500
c0: 11
skew: 0.22
# Murphy_E = 5.265e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3161521 hash collisions in 28951004 relations (27532427 unique)
Msieve: matrix is 1067252 x 1067477 (370.0 MB)

Sieving start time : 2022/07/06 18:10:57
Sieving end time  : 2022/07/07 00:12:43

Total sieving time: 6hrs 1min 46secs.

Total relation processing time: 0hrs 18min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 9sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
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)

41×10185+229

c106

name 名前Eric Jeancolas
date 日付June 30, 2022 17:42:58 UTC 2022 年 7 月 1 日 (金) 2 時 42 分 58 秒 (日本時間)
composite number 合成数
1624854557205236328194036824118073667819843649265103964098853789300942641399024007028634292597633749395899<106>
prime factors 素因数
341433820595917858264759102616329846652434183469<48>
4758915078680002604437902838647850053686111401073053678471<58>
factorization results 素因数分解の結果
1624854557205236328194036824118073667819843649265103964098853789300942641399024007028634292597633749395899=341433820595917858264759102616329846652434183469*4758915078680002604437902838647850053686111401073053678471

cado polynomial
n: 1624854557205236328194036824118073667819843649265103964098853789300942641399024007028634292597633749395899
skew: 9920.531
c0: 436293156329242394938840
c1: -199825905587821337218
c2: -25704888666798501
c3: 4567951628509
c4: 139871930
c5: 2040
Y0: -275579502994955549853
Y1: 9067858789099
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.192e-06
# f(x) = 2040*x^5+139871930*x^4+4567951628509*x^3-25704888666798501*x^2-199825905587821337218*x+436293156329242394938840
# g(x) = 9067858789099*x-275579502994955549853

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: 4758915078680002604437902838647850053686111401073053678471 341433820595917858264759102616329846652434183469
Info:Square Root: Total cpu/real time for sqrt: 67.4/20.761
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.6/60.7959
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.49999999999999s
Info:Square Root: Total cpu/real time for sqrt: 67.4/20.761
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.38/42.42
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4991834
Info:Lattice Sieving: Average J: 1899.18 for 56749 special-q, max bucket fill -bkmult 1.0,1s:1.341580
Info:Lattice Sieving: Total time: 5234.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.398238
Info:Linear Algebra: Total cpu/real time for bwc: 677.22/176.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 402.53, WCT time 104.07, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.95, WCT time 8.44
Info:Linear Algebra: Mksol: CPU time 223.73,  WCT time 57.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.89/16.584
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.18/20.5904
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 143.45
Info:Polynomial Selection (root optimized): Rootsieve time: 142.8
Info:Filtering - Merging: Merged matrix has 235812 rows and total weight 34525139 (146.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.3/9.63781
Info:Filtering - Merging: Total cpu/real time for replay: 7.55/6.06274
Info:Quadratic Characters: Total cpu/real time for characters: 8.98/3.48203
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): 9914/30.650/37.198/48.800/1.077
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7534/29.780/33.009/37.700/0.867
Info:Polynomial Selection (size optimized): Total time: 500.65
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11016.5/3145.59
Info:root: Cleaning up computation data in /tmp/cado.n123sue8
4758915078680002604437902838647850053686111401073053678471 341433820595917858264759102616329846652434183469
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)

41×10186+229

c169

name 名前Bob Backstrom
date 日付July 9, 2022 00:44:13 UTC 2022 年 7 月 9 日 (土) 9 時 44 分 13 秒 (日本時間)
composite number 合成数
1147716332156839699440154095502599308184152634326179778564033955308942569916176216353357596114324268734614986757514228539955740186455540132971629407201206616174381556547<169>
prime factors 素因数
438582395057946164455631356589070921283<39>
2616877341839500180187823049974162357392719747884102460970050584544799516629048569990400837441136555425850112701338778913346955009<130>
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 1147716332156839699440154095502599308184152634326179778564033955308942569916176216353357596114324268734614986757514228539955740186455540132971629407201206616174381556547 (169 digits)
Using B1=18290000, B2=58560741340, polynomial Dickson(12), sigma=1:2434174931
Step 1 took 42674ms
Step 2 took 16388ms
********** Factor found in step 2: 438582395057946164455631356589070921283
Found prime factor of 39 digits: 438582395057946164455631356589070921283
Prime cofactor 2616877341839500180187823049974162357392719747884102460970050584544799516629048569990400837441136555425850112701338778913346955009 has 130 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)

41×10190+229

c137

composite cofactor 合成数の残り
14389892815586519176658122889104509279658661474562737567935142464840969782034105726694231920898622694484745025611564429413983617329032993<137>

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 10:56:10 UTC 2022 年 7 月 12 日 (火) 19 時 56 分 10 秒 (日本時間)
4511e61000 / 3915Ignacio SantosAugust 31, 2022 13:25:03 UTC 2022 年 8 月 31 日 (水) 22 時 25 分 3 秒 (日本時間)

41×10191+229

c134

name 名前Eric Jeancolas
date 日付July 15, 2022 03:36:57 UTC 2022 年 7 月 15 日 (金) 12 時 36 分 57 秒 (日本時間)
composite number 合成数
15302620488941840025732025563921694150497032509003482854378317451794443918606777396325782012385241111414110642277386190296523003208511<134>
prime factors 素因数
15057555494840194656465094776678216983617<41>
1016275217726119111741434669766533232799284449238802134846278448762121957927914478180179289983<94>
factorization results 素因数分解の結果
15302620488941840025732025563921694150497032509003482854378317451794443918606777396325782012385241111414110642277386190296523003208511=15057555494840194656465094776678216983617*1016275217726119111741434669766533232799284449238802134846278448762121957927914478180179289983

cado polynomial
n: 15302620488941840025732025563921694150497032509003482854378317451794443918606777396325782012385241111414110642277386190296523003208511
skew: 50312.977
c0: 17585376043406448740105966180
c1: 13501047861863737580962512
c2: -125601835483692335887
c3: -6577116856849641
c4: 79981809704
c5: 510000
Y0: -40809143770666701976111944
Y1: 16252300714910416487
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.437e-07
# f(x) = 510000*x^5+79981809704*x^4-6577116856849641*x^3-125601835483692335887*x^2+13501047861863737580962512*x+17585376043406448740105966180
# g(x) = 16252300714910416487*x-40809143770666701976111944

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15057555494840194656465094776678216983617 1016275217726119111741434669766533232799284449238802134846278448762121957927914478180179289983
Info:Square Root: Total cpu/real time for sqrt: 807.52/239.554
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54219/39.350/47.859/52.840/0.972
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44470/38.470/42.653/48.450/0.990
Info:Polynomial Selection (size optimized): Total time: 11180
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.5/161.326
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.10000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 41.58/17.2858
Info:Square Root: Total cpu/real time for sqrt: 807.52/239.554
Info:Linear Algebra: Total cpu/real time for bwc: 24139.3/6192.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15356.42, WCT time 3925.98, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 237.58, WCT time 60.27
Info:Linear Algebra: Mksol: CPU time 8334.55,  WCT time 2127.64, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.56/97.7752
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013532
Info:Lattice Sieving: Average J: 3795.21 for 553579 special-q, max bucket fill -bkmult 1.0,1s:1.158390
Info:Lattice Sieving: Total time: 184882s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.05609
Info:Generate Free Relations: Total cpu/real time for freerel: 246.73/62.538
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.73/87.032
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6026.65
Info:Polynomial Selection (root optimized): Rootsieve time: 6024.23
Info:Filtering - Merging: Merged matrix has 1237356 rows and total weight 210984592 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 322.77/90.0433
Info:Filtering - Merging: Total cpu/real time for replay: 45.58/38.6935
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 389712/104605
Info:root: Cleaning up computation data in /tmp/cado.1h473kpt
15057555494840194656465094776678216983617 1016275217726119111741434669766533232799284449238802134846278448762121957927914478180179289983
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 12, 2022 11:10:27 UTC 2022 年 7 月 12 日 (火) 20 時 10 分 27 秒 (日本時間)

41×10193+229

c159

name 名前Bob Backstrom
date 日付September 27, 2022 16:32:04 UTC 2022 年 9 月 28 日 (水) 1 時 32 分 4 秒 (日本時間)
composite number 合成数
905755484616545831052530333484940513565874303413955081956421351064122874383102121458630964153690305517674572683836897824144612080635227844750051772047294814639<159>
prime factors 素因数
1859131475549771125384533259404124983935498782473607855702963372453521345417581<79>
487192808323952071512865974226041937827635961597615888101004041459801118125572619<81>
factorization results 素因数分解の結果
Number: n
N=905755484616545831052530333484940513565874303413955081956421351064122874383102121458630964153690305517674572683836897824144612080635227844750051772047294814639  ( 159 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Sep 27 08:31:59 2022  p79 factor: 1859131475549771125384533259404124983935498782473607855702963372453521345417581
Tue Sep 27 08:31:59 2022  p81 factor: 487192808323952071512865974226041937827635961597615888101004041459801118125572619
Tue Sep 27 08:31:59 2022  elapsed time 01:02:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 41x10^193+22 = 45(192)8
#
n: 905755484616545831052530333484940513565874303413955081956421351064122874383102121458630964153690305517674572683836897824144612080635227844750051772047294814639
m: 100000000000000000000000000000000000000
deg: 5
c5: 20500
c0: 11
skew: 0.22
# Murphy_E = 2.049e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3581694 hash collisions in 28638165 relations (26637112 unique)
Msieve: matrix is 1613969 x 1614195 (562.9 MB)

Sieving start time : 2022/09/27 00:41:26
Sieving end time  : 2022/09/27 07:28:33

Total sieving time: 6hrs 47min 7secs.

Total relation processing time: 0hrs 49min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 1sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 18, 2022 13:36:21 UTC 2022 年 7 月 18 日 (月) 22 時 36 分 21 秒 (日本時間)

41×10194+229

c175

name 名前Bob Backstrom
date 日付July 23, 2022 08:54:22 UTC 2022 年 7 月 23 日 (土) 17 時 54 分 22 秒 (日本時間)
composite number 合成数
1393955648440949696316560677342873797443182438739424138183377186165238659417769053658115964159887499279984218865568460010926356601485603332193276925436333727309185656650231901<175>
prime factors 素因数
10058017189479873761226954852075186648953<41>
138591495936092625610608079165382667506250513376183360146875139240331366055654558846432431411243380934448462414000681956753010212614917<135>
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 1393955648440949696316560677342873797443182438739424138183377186165238659417769053658115964159887499279984218865568460010926356601485603332193276925436333727309185656650231901 (175 digits)
Using B1=24220000, B2=96189633556, polynomial Dickson(12), sigma=1:1274500787
Step 1 took 67324ms
Step 2 took 21750ms
********** Factor found in step 2: 10058017189479873761226954852075186648953
Found prime factor of 41 digits: 10058017189479873761226954852075186648953
Prime cofactor 138591495936092625610608079165382667506250513376183360146875139240331366055654558846432431411243380934448462414000681956753010212614917 has 135 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 20, 2022 09:14:36 UTC 2022 年 7 月 20 日 (水) 18 時 14 分 36 秒 (日本時間)

41×10196+229

c129

name 名前Eric Jeancolas
date 日付July 7, 2022 12:44:04 UTC 2022 年 7 月 7 日 (木) 21 時 44 分 4 秒 (日本時間)
composite number 合成数
465231532551919476725011933904108596814233298655732129633345426559473491403569978840482984226557715717691348467384950422250541783<129>
prime factors 素因数
7913988474694001527281244996815567506074944974033688891757<58>
58785975496370418386815181390767496397137520360777576219316530670571219<71>
factorization results 素因数分解の結果
465231532551919476725011933904108596814233298655732129633345426559473491403569978840482984226557715717691348467384950422250541783=7913988474694001527281244996815567506074944974033688891757*58785975496370418386815181390767496397137520360777576219316530670571219

cado polynomial
n: 465231532551919476725011933904108596814233298655732129633345426559473491403569978840482984226557715717691348467384950422250541783
skew: 108973.406
c0: -1498242631170419451906758638200
c1: -36233728964216098023568350
c2: 1529413197978971951809
c3: 6701643808037719
c4: -72500627060
c5: -74400
Y0: -10453565088777917456137573
Y1: 19882939145575547
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.889e-07
# f(x) = -74400*x^5-72500627060*x^4+6701643808037719*x^3+1529413197978971951809*x^2-36233728964216098023568350*x-1498242631170419451906758638200
# g(x) = 19882939145575547*x-10453565088777917456137573

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: 7913988474694001527281244996815567506074944974033688891757 58785975496370418386815181390767496397137520360777576219316530670571219
Info:Square Root: Total cpu/real time for sqrt: 679.35/200.532
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23612305
Info:Lattice Sieving: Average J: 7767.49 for 56808 special-q, max bucket fill -bkmult 1.0,1s:1.074370
Info:Lattice Sieving: Total time: 90175.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 250.13/63.9221
Info:Generate Factor Base: Total cpu/real time for makefb: 40.65/10.7727
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5122.46
Info:Polynomial Selection (root optimized): Rootsieve time: 5119.94
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.43/118.983
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.8s
Info:Filtering - Merging: Merged matrix has 1667464 rows and total weight 285704895 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 416.33/118.133
Info:Filtering - Merging: Total cpu/real time for replay: 66.83/56.475
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 310.41/277.968
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 251.5s
Info:Linear Algebra: Total cpu/real time for bwc: 44886.6/11509.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28674.18, WCT time 7323.24, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Linear Algebra: Lingen CPU time 326.28, WCT time 82.86
Info:Linear Algebra: Mksol: CPU time 15583.67,  WCT time 3991.38, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 64.65/26.2427
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): 39052/38.440/45.919/48.910/0.849
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30944/37.100/41.178/46.710/0.935
Info:Polynomial Selection (size optimized): Total time: 4840.52
Info:Square Root: Total cpu/real time for sqrt: 679.35/200.532
Info:Filtering - Singleton removal: Total cpu/real time for purge: 167.33/187.811
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 227989/53951.8
Info:root: Cleaning up computation data in /tmp/cado.53zgxfu_
7913988474694001527281244996815567506074944974033688891757 58785975496370418386815181390767496397137520360777576219316530670571219
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 11:54:38 UTC 2022 年 7 月 2 日 (土) 20 時 54 分 38 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 17:32:03 UTC 2022 年 7 月 4 日 (月) 2 時 32 分 3 秒 (日本時間)

41×10198+229

c172

name 名前Ignacio Santos
date 日付August 30, 2022 11:17:16 UTC 2022 年 8 月 30 日 (火) 20 時 17 分 16 秒 (日本時間)
composite number 合成数
9122034604054400480962670402595789109662700254703202649396372131008137581258052384059233210638634585453562310396286233317143048504592839657728524621465023720216103637668477<172>
prime factors 素因数
261516844752750015242524259902468667<36>
composite cofactor 合成数の残り
34881250623372995976275772274741898470561009396279815138498992215600696444329891481852418278741065301217250310260254648147148174307019431<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:321659906
Step 1 took 7172ms
Step 2 took 3984ms
********** Factor found in step 2: 261516844752750015242524259902468667
Found prime factor of 36 digits: 261516844752750015242524259902468667
Composite cofactor 34881250623372995976275772274741898470561009396279815138498992215600696444329891481852418278741065301217250310260254648147148174307019431 has 137 digits
 
software ソフトウェア
GMP-ECM

c137

name 名前Bob Backstrom
date 日付August 31, 2022 12:13:31 UTC 2022 年 8 月 31 日 (水) 21 時 13 分 31 秒 (日本時間)
composite number 合成数
34881250623372995976275772274741898470561009396279815138498992215600696444329891481852418278741065301217250310260254648147148174307019431<137>
prime factors 素因数
9457348470705889026266163465854221406002763631385109681<55>
3688269574862084674508060992118006210216325928306587305172691510944265738316929751<82>
factorization results 素因数分解の結果
Number: n
N=34881250623372995976275772274741898470561009396279815138498992215600696444329891481852418278741065301217250310260254648147148174307019431  ( 137 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Aug 31 21:10:50 2022  p55 factor: 9457348470705889026266163465854221406002763631385109681
Wed Aug 31 21:10:50 2022  p82 factor: 3688269574862084674508060992118006210216325928306587305172691510944265738316929751
Wed Aug 31 21:10:50 2022  elapsed time 01:29:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 41x10^198+22 = 410(198)22
#
n: 34881250623372995976275772274741898470561009396279815138498992215600696444329891481852418278741065301217250310260254648147148174307019431
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20500
c0: 11
skew: 0.68
# Murphy_E = 1.559e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3850639 hash collisions in 28454905 relations (26082432 unique)
Msieve: matrix is 1999773 x 1999998 (697.7 MB)

Sieving start time : 2022/08/31 10:42:19
Sieving end time  : 2022/08/31 19:41:17

Total sieving time: 8hrs 58min 58secs.

Total relation processing time: 1hrs 17min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

41×10199+229

c181

name 名前Bob Backstrom
date 日付September 9, 2022 10:39:25 UTC 2022 年 9 月 9 日 (金) 19 時 39 分 25 秒 (日本時間)
composite number 合成数
1283183587842327789215894503917326837402271374471334263365498650305419287223129805942995759205810241754440695490114092515225459116733055907115298694382448001127494035137372367971381<181>
prime factors 素因数
70218131398161529116429107540777443<35>
4299006874894771833557657047063889894924721967151443271<55>
4250807014189762364856549336396219011069789210372106407442503614284945144005356538891930177<91>
factorization results 素因数分解の結果
Number: n
N=1283183587842327789215894503917326837402271374471334263365498650305419287223129805942995759205810241754440695490114092515225459116733055907115298694382448001127494035137372367971381  ( 181 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Sep  9 20:19:45 2022  found factor: 301868229622960850814005359694920574322869972700531422177603174207777055685776482850936053
Fri Sep  9 20:29:40 2022  found factor: 301868229622960850814005359694920574322869972700531422177603174207777055685776482850936053
Fri Sep  9 20:32:58 2022  p35 factor: 70218131398161529116429107540777443
Fri Sep  9 20:32:58 2022  p55 factor: 4299006874894771833557657047063889894924721967151443271
Fri Sep  9 20:32:58 2022  p91 factor: 4250807014189762364856549336396219011069789210372106407442503614284945144005356538891930177
Fri Sep  9 20:32:58 2022  elapsed time 02:02:44 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 41x10^199+22 = 45(198)8
#
n: 1283183587842327789215894503917326837402271374471334263365498650305419287223129805942995759205810241754440695490114092515225459116733055907115298694382448001127494035137372367971381
m: 5000000000000000000000000000000000000000
deg: 5
c5: 328
c0: 55
skew: 0.70
# Murphy_E = 1.179e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3605925 hash collisions in 27206102 relations (25019612 unique)
Msieve: matrix is 2207470 x 2207695 (774.8 MB)

Sieving start time : 2022/09/09 09:52:35
Sieving end time  : 2022/09/09 18:29:43

Total sieving time: 8hrs 37min 8secs.

Total relation processing time: 1hrs 38min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 33sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

41×10204+229

c142

composite cofactor 合成数の残り
4132584720611071552255031728589700103249353649482646442562523738284837696368023221615185350278765240568606777235135671846889461170060230414711<142>

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)

41×10205+229

c193

composite cofactor 合成数の残り
1049775726213941310802457582610464163384758797922527799251295351804624957455850786735976199636753372127643142509617041676778112572662311667741361413994158209182180380385871359770326088002914061<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)

41×10207+229

c196

composite cofactor 合成数の残り
3679461400361786873173988382209777695497499687614039863503325219412606139402361483366393809041462781956086654513388836261359262919251755853578336264709299178921439461680793692874064430446805284763<196>

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)

41×10210+229

c188

composite cofactor 合成数の残り
23086898652897759038030066756792714107259221436825036252212246175863995974148979013437154892568884549099813824486155910878485678513256535889236319389545596018298459625857573333669211259713<188>

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)

41×10212+229

c191

composite cofactor 合成数の残り
34939415997516035179638213806133018332095671456111207077995780104537145616259994327882478113337671318734617674638718729771129369760220828528026591173400984436272633433397622222468996852598301<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)

41×10214+229

c167

composite cofactor 合成数の残り
30809243704084097761795756024386927536520701225310215283656195094214072102880064555909111917962290739320658755673092850206199470313354486238403314416861581555037765487<167>

ECM

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

41×10216+229

c215

composite cofactor 合成数の残り
14147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539<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)

41×10217+229

c170

composite cofactor 合成数の残り
76477514785519408870993392790299839375548296202382884522503943712863873356866665651129180895154956981341821996660052325777819377545965976879702044733061847078104158591457<170>

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)

41×10218+229

c179

composite cofactor 合成数の残り
14088974913051621756749004294814205998521568779032531076959202799013385984079397088230234383347161236289572245966928789874139168361405481498909639864892409481691564328135826833301<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)

41×10219+229

c180

name 名前Erik Branger
date 日付September 3, 2022 11:28:18 UTC 2022 年 9 月 3 日 (土) 20 時 28 分 18 秒 (日本時間)
composite number 合成数
281983683967027284444404955601810361813861891995050636343231998430649760367367496465231658707097408341543222610697047833591135115700282523291008189648762866393164237761541909402481<180>
prime factors 素因数
2049553855316152964757563649790603862221656142607662283070546360528191<70>
137582958962320130918613618647525860154245299946111754653237566873435055736543263896352379927459231353763898191<111>
factorization results 素因数分解の結果
Number: 45558_219
N = 281983683967027284444404955601810361813861891995050636343231998430649760367367496465231658707097408341543222610697047833591135115700282523291008189648762866393164237761541909402481 (180 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2049553855316152964757563649790603862221656142607662283070546360528191 (pp70)
r2=137582958962320130918613618647525860154245299946111754653237566873435055736543263896352379927459231353763898191 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 29.77 hours.
Factorization parameters were as follows:
n: 281983683967027284444404955601810361813861891995050636343231998430649760367367496465231658707097408341543222610697047833591135115700282523291008189648762866393164237761541909402481
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 41
c0: 220
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30198072
Relations: 8202358 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.74 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6992252 x 6992477
Matrix solve time: 15.66 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 29.77 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

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

41×10220+229

c215

name 名前Erik Branger
date 日付September 23, 2022 20:06:29 UTC 2022 年 9 月 24 日 (土) 5 時 6 分 29 秒 (日本時間)
composite number 合成数
15392772109858740154914360247482737381512259517031877079479039512044618915884807701852366195700400790242394112182072616491185310279616087744507614879449440337577758840913747990586231097769707459990618668549240239049<215>
prime factors 素因数
1941459602680511355243846005883641498542966587287801<52>
7928453462851573433832115419104640780619517277523852905147834381525778550334925253774651245142154564019987266266630842891209523358933602577983597359387145804096849<163>
factorization results 素因数分解の結果
Number: 45558_220
N = 15392772109858740154914360247482737381512259517031877079479039512044618915884807701852366195700400790242394112182072616491185310279616087744507614879449440337577758840913747990586231097769707459990618668549240239049 (215 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1941459602680511355243846005883641498542966587287801 (pp52)
r2=7928453462851573433832115419104640780619517277523852905147834381525778550334925253774651245142154564019987266266630842891209523358933602577983597359387145804096849 (pp163)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.61 hours.
Factorization parameters were as follows:
n: 15392772109858740154914360247482737381512259517031877079479039512044618915884807701852366195700400790242394112182072616491185310279616087744507614879449440337577758840913747990586231097769707459990618668549240239049
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 41
c0: 22
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31513377
Relations: 7859568 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.52 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6785186 x 6785411
Matrix solve time: 32.55 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 54.61 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

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

41×10223+229

c177

composite cofactor 合成数の残り
549004826424854198550091594068704288378243333967872786624643133358728612743721935999037986893507078771844959170855903600784042827509593596110903454495995409654050191407583578511<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)

41×10224+229

c132

name 名前Ignacio Santos
date 日付July 3, 2022 16:41:37 UTC 2022 年 7 月 4 日 (月) 1 時 41 分 37 秒 (日本時間)
composite number 合成数
332104030806625754128324212555219717968762195788045937304014728892278053683658183620724613016708655831035150983562120162899845056107<132>
prime factors 素因数
25495534341498496717953595889228361895283<41>
13025968640557873590041485507582737182716619799972275140890602580656686334970033968780076329<92>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:471905531
Step 1 took 17594ms
Step 2 took 9359ms
********** Factor found in step 2: 25495534341498496717953595889228361895283
Found prime factor of 41 digits: 25495534341498496717953595889228361895283
Prime cofactor 13025968640557873590041485507582737182716619799972275140890602580656686334970033968780076329 has 92 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 22:18:33 UTC 2022 年 7 月 3 日 (日) 7 時 18 分 33 秒 (日本時間)

41×10225+229

c182

composite cofactor 合成数の残り
68246829085442498455733080268003144858033257131539013687897439712266897606591931854855214818494857104554212598139327354970459250515235468012548279937356472544805461914310576525457467<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)

41×10228+229

c184

composite cofactor 合成数の残り
1675248998876293785789165549423564256278466899301116503322943923493459216298310952249960647573544730421814415314212894306443185497467311590405006169506667028135968520948848367705629883<184>

ECM

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

41×10229+229

c153

composite cofactor 合成数の残り
469275943465584343047704653933395989022562694894876432529905053303444964957028700099936006892874486073677549674804424143302925984266170670315186559310539<153>

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 18:11:24 UTC 2022 年 6 月 30 日 (木) 3 時 11 分 24 秒 (日本時間)
4511e64480Ignacio SantosJuly 1, 2022 10:18:08 UTC 2022 年 7 月 1 日 (金) 19 時 18 分 8 秒 (日本時間)

41×10230+229

c210

composite cofactor 合成数の残り
919806597789107286799321703940308852964099460324330221128239881787376692095132038945675742790222594315325812001263962020627129774665726701445578710866368519152386967934857322381938523936417111526107919745236657<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)

41×10231+229

c205

composite cofactor 合成数の残り
7353663588022257562336588909773154892208711839826822052046707854293239136298908106629037745942700065361836377819874569084388606500808747321771341851424570647425969028189482121180171220448839918895291751833<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)

41×10235+229

c216

composite cofactor 合成数の残り
488008689852643715578822838960378471278655045123347445793478984943885378396596982493879244945687837701847178709859655289683732730412941869902712220996726924367176581495208897793034567649263841353071396956319457831609<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)

41×10236+229

c237

composite cofactor 合成数の残り
227777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<237>

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)

41×10237+229

c87

name 名前Eric Jeancolas
date 日付June 29, 2022 15:50:03 UTC 2022 年 6 月 30 日 (木) 0 時 50 分 3 秒 (日本時間)
composite number 合成数
122972473916491547315115561375104766718135613214019115986904205581680220085793010684581<87>
prime factors 素因数
41843394090553923742472738764273670582687<41>
2938874261738064353215970333774728890090011963<46>
factorization results 素因数分解の結果
Wed Jun 29 17:04:09 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 17:04:09 2022  random seeds: 366c8b00 30c69020
Wed Jun 29 17:04:09 2022  factoring 122972473916491547315115561375104766718135613214019115986904205581680220085793010684581 (87 digits)
Wed Jun 29 17:04:09 2022  searching for 15-digit factors
Wed Jun 29 17:04:09 2022  commencing quadratic sieve (87-digit input)
Wed Jun 29 17:04:09 2022  using multiplier of 1
Wed Jun 29 17:04:09 2022  using generic 32kb sieve core
Wed Jun 29 17:04:09 2022  sieve interval: 17 blocks of size 32768
Wed Jun 29 17:04:09 2022  processing polynomials in batches of 12
Wed Jun 29 17:04:09 2022  using a sieve bound of 1470913 (55686 primes)
Wed Jun 29 17:04:09 2022  using large prime bound of 117673040 (26 bits)
Wed Jun 29 17:04:09 2022  using double large prime bound of 336680924434240 (41-49 bits)
Wed Jun 29 17:04:09 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 17:04:09 2022  polynomial 'A' values have 11 factors
Wed Jun 29 17:40:39 2022  55842 relations (15401 full + 40441 combined from 591464 partial), need 55782
Wed Jun 29 17:40:40 2022  begin with 606865 relations
Wed Jun 29 17:40:40 2022  reduce to 134707 relations in 11 passes
Wed Jun 29 17:40:40 2022  attempting to read 134707 relations
Wed Jun 29 17:40:41 2022  recovered 134707 relations
Wed Jun 29 17:40:41 2022  recovered 115552 polynomials
Wed Jun 29 17:40:41 2022  attempting to build 55842 cycles
Wed Jun 29 17:40:42 2022  found 55842 cycles in 6 passes
Wed Jun 29 17:40:42 2022  distribution of cycle lengths:
Wed Jun 29 17:40:42 2022     length 1 : 15401
Wed Jun 29 17:40:42 2022     length 2 : 10766
Wed Jun 29 17:40:42 2022     length 3 : 10079
Wed Jun 29 17:40:42 2022     length 4 : 7394
Wed Jun 29 17:40:42 2022     length 5 : 5069
Wed Jun 29 17:40:42 2022     length 6 : 3190
Wed Jun 29 17:40:42 2022     length 7 : 1780
Wed Jun 29 17:40:42 2022     length 9+: 2163
Wed Jun 29 17:40:42 2022  largest cycle: 18 relations
Wed Jun 29 17:40:42 2022  matrix is 55686 x 55842 (13.3 MB) with weight 3034937 (54.35/col)
Wed Jun 29 17:40:42 2022  sparse part has weight 3034937 (54.35/col)
Wed Jun 29 17:40:42 2022  filtering completed in 3 passes
Wed Jun 29 17:40:42 2022  matrix is 51348 x 51412 (12.4 MB) with weight 2826938 (54.99/col)
Wed Jun 29 17:40:42 2022  sparse part has weight 2826938 (54.99/col)
Wed Jun 29 17:40:42 2022  saving the first 48 matrix rows for later
Wed Jun 29 17:40:42 2022  matrix includes 64 packed rows
Wed Jun 29 17:40:42 2022  matrix is 51300 x 51412 (7.7 MB) with weight 2173796 (42.28/col)
Wed Jun 29 17:40:42 2022  sparse part has weight 1515606 (29.48/col)
Wed Jun 29 17:40:42 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 17:40:43 2022  commencing Lanczos iteration
Wed Jun 29 17:40:43 2022  memory use: 4.8 MB
Wed Jun 29 17:40:52 2022  lanczos halted after 813 iterations (dim = 51299)
Wed Jun 29 17:40:52 2022  recovered 16 nontrivial dependencies
Wed Jun 29 17:40:53 2022  p41 factor: 41843394090553923742472738764273670582687
Wed Jun 29 17:40:53 2022  p46 factor: 2938874261738064353215970333774728890090011963
Wed Jun 29 17:40:53 2022  elapsed time 00:36:44
software ソフトウェア
Msieve v. 1.53
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)

41×10238+229

c140

name 名前ebina
date 日付September 8, 2022 10:31:19 UTC 2022 年 9 月 8 日 (木) 19 時 31 分 19 秒 (日本時間)
composite number 合成数
20096493788023557276500535960701275309856899202918271841767229589048342607667347844180874542027040941709613803633369403807625165094296433027<140>
prime factors 素因数
127432958361542050507130695273133568433080834643853<51>
157702481731668495532920054782325832712798002561635265900984673894073776666518382457626959<90>
factorization results 素因数分解の結果
Number: 45558_238
N = 20096493788023557276500535960701275309856899202918271841767229589048342607667347844180874542027040941709613803633369403807625165094296433027 (140 digits)
Divisors found:
r1=127432958361542050507130695273133568433080834643853 (pp51)
r2=157702481731668495532920054782325832712798002561635265900984673894073776666518382457626959 (pp90)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 33.17 hours.
Factorization parameters were as follows:
n: 20096493788023557276500535960701275309856899202918271841767229589048342607667347844180874542027040941709613803633369403807625165094296433027
# norm 1.899333e-13 alpha -6.681476 e 2.159e-11 rroots 3
skew: 7050839.55
c0: 1654611466200477391544840721073519875
c1: -58561849664209236418932799845
c2: -255180609046968528845806
c3: -8499966283180432
c4: 2025112248
c5: 240
Y0: -2424274492829260070293478168
Y1: 60340587681929
type: gnfs
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22698005
Relations: 3647840 relations
Pruned matrix : 2152499 x 2152729
Polynomial selection time: 0.35 hours.
Total sieving time: 30.11 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.31 hours.
time per square root: 1.23 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,56,56,2.5,2.5,100000
total time: 33.17 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
processors: 8, speed: 2.81GHz
Windows-post2008Server-6.2.9200
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 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 17:02:56 UTC 2022 年 6 月 30 日 (木) 2 時 2 分 56 秒 (日本時間)
4511e64480Ignacio SantosJune 30, 2022 15:49:03 UTC 2022 年 7 月 1 日 (金) 0 時 49 分 3 秒 (日本時間)
5043e66454Ignacio SantosJuly 7, 2022 22:06:46 UTC 2022 年 7 月 8 日 (金) 7 時 6 分 46 秒 (日本時間)

41×10239+229

c167

name 名前ebina
date 日付July 25, 2022 20:28:15 UTC 2022 年 7 月 26 日 (火) 5 時 28 分 15 秒 (日本時間)
composite number 合成数
10846796920990596878137620119801069826709928451656445952601776867367967685346674090617886954120367056097366433573576464815521449900889675670247398272542290213171030373<167>
prime factors 素因数
10721604596034602735956266612164445946957<41>
1011676640733635771403072857899340827515534925858664598188523467885734386308534918224092976884256201816859527709189699675661689<127>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2572325762 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 10846796920990596878137620119801069826709928451656445952601776867367967685346674090617886954120367056097366433573576464815521449900889675670247398272542290213171030373 (167 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2572325762
Step 1 took 7109ms
Step 2 took 5734ms
********** Factor found in step 2: 10721604596034602735956266612164445946957
Found probable prime factor of 41 digits: 10721604596034602735956266612164445946957
Probable prime cofactor 1011676640733635771403072857899340827515534925858664598188523467885734386308534918224092976884256201816859527709189699675661689 has 127 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)

41×10240+229

c176

composite cofactor 合成数の残り
32271523100414281825886178671429997766373525968382955056345442943711117594166024388820763232250730429940873924300793277683108153204255321536656357889450024837943832808461881519<176>

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 26, 2022 09:07:07 UTC 2022 年 7 月 26 日 (火) 18 時 7 分 7 秒 (日本時間)

41×10241+229

c189

name 名前ebina
date 日付July 25, 2022 18:54:15 UTC 2022 年 7 月 26 日 (火) 3 時 54 分 15 秒 (日本時間)
composite number 合成数
540588001611418987087027750875984707597063628106187238364533689188657574726471095697294351478715668224872379429547782063982537049483572306218308218131759789060636719675838404424823303971171<189>
prime factors 素因数
3465823492913845738937945111886610667<37>
composite cofactor 合成数の残り
155976783790834858778355862617352249508048967157292841825737709110154223896794276513853991506885811997104725816739535126970815516419279824700224714097513<153>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3929385816 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 540588001611418987087027750875984707597063628106187238364533689188657574726471095697294351478715668224872379429547782063982537049483572306218308218131759789060636719675838404424823303971171 (189 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3929385816
Step 1 took 7750ms
********** Factor found in step 1: 3465823492913845738937945111886610667
Found probable prime factor of 37 digits: 3465823492913845738937945111886610667
Composite cofactor 155976783790834858778355862617352249508048967157292841825737709110154223896794276513853991506885811997104725816739535126970815516419279824700224714097513 has 153 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)
403e6237929ebinaJuly 25, 2022 18:53:05 UTC 2022 年 7 月 26 日 (火) 3 時 53 分 5 秒 (日本時間)
2350Ignacio SantosJuly 27, 2022 10:16:26 UTC 2022 年 7 月 27 日 (水) 19 時 16 分 26 秒 (日本時間)
4511e64480Ignacio SantosJuly 27, 2022 13:28:07 UTC 2022 年 7 月 27 日 (水) 22 時 28 分 7 秒 (日本時間)

41×10242+229

c213

composite cofactor 合成数の残り
670474619275518132484253958540527734268866409818746634349024366452559930349220941832116871357700157819742327765712657928297441892067038771905601970386886892081881928908606397478653467958147761490411476896598328203<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)
403e62078ebinaJuly 26, 2022 09:13:06 UTC 2022 年 7 月 26 日 (火) 18 時 13 分 6 秒 (日本時間)

41×10243+229

c240

composite cofactor 合成数の残り
189988971371905728399180730484425538224854264557325696703459652829908897971288495936089563581431126680939008906312267726897804468911316855265474833412109248292416196328115587436631727231443638149785451478670262555490681272648075550736323111<240>

ECM

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

41×10245+229

c219

composite cofactor 合成数の残り
582956584183139838028596855701587846524262715080930638621416632841814318572223735275588731686644852617260935616483232079597266583992133066385912162814734245455932818513420028504280810801174074689252916849282827355731113<219>

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)

41×10246+229

c202

composite cofactor 合成数の残り
1484757371466853256636659303999296053793913446141255200618927934199898052778447411124025198030822542278611375353261997914773689096802129065306911676533263333750216201575619101795623421314298573741349141<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)

41×10247+229

c232

composite cofactor 合成数の残り
9870100758552525970996924030729765407881812082594253576575111229324364363579379340304132611628441027062686554365541776942281303609221679558687541740234860868247044568945577452556599634891994411294147383039775476262660633888026042931<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)

41×10248+229

c215

composite cofactor 合成数の残り
21717703913804548300871013476852234229379946193936181309682644323134689081170009823025389337060396195517435994147926093415372087818110088780336392574457565512835703331262365272469872097814278188887702156124575129683<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)

41×10250+229

c222

composite cofactor 合成数の残り
170608049268575605897312492459694575320153563747725572243545341123221592346171413852570070150614111084895719239482750159106806101745509324956205544537760464937968869822516509374562273619736505876238446508852922959416184963<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)

41×10251+229

c245

composite cofactor 合成数の残り
19766921765059605320526373648953798060220862470137605063479251496290891409200341136571581312568153091935634930063811191145930977708302351094066817653164788794635384712654188377858035337104264177253323737987388530350676473721164773868198851877401<245>

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)

41×10252+229

c247

composite cofactor 合成数の残り
1565966251975886564154696382442264161090108066185219891071387512557330597399319637316104954572082916156104377074284626512083644903326028291739359965912352181379530712761379819461660524641472026610120771136782263239843620318419758246893905939205829<247>

ECM

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

41×10255+229

c175

name 名前Ignacio Santos
date 日付July 2, 2022 15:59:19 UTC 2022 年 7 月 3 日 (日) 0 時 59 分 19 秒 (日本時間)
composite number 合成数
3805746123610807308415069760049792940127234635590804091032353923677821517888348484446021586701401429798625109989335842641654310352941842988801571462207561577038133049579865633<175>
prime factors 素因数
822211991547945441666572924699480141953159<42>
composite cofactor 合成数の残り
4628667743516951356850078293964933112566978259904924700612461460378331100470787209501230714013711902593573128466416621087866539851287<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4211897725
Step 1 took 31203ms
Step 2 took 13313ms
********** Factor found in step 2: 822211991547945441666572924699480141953159
Found prime factor of 42 digits: 822211991547945441666572924699480141953159
Composite cofactor 4628667743516951356850078293964933112566978259904924700612461460378331100470787209501230714013711902593573128466416621087866539851287 has 133 digits
 
software ソフトウェア
GMP-ECM

c133

name 名前Eric Jeancolas
date 日付July 9, 2022 20:05:30 UTC 2022 年 7 月 10 日 (日) 5 時 5 分 30 秒 (日本時間)
composite number 合成数
4628667743516951356850078293964933112566978259904924700612461460378331100470787209501230714013711902593573128466416621087866539851287<133>
prime factors 素因数
1999909333104162748729174567385448889138169311622708887<55>
2314438793248970277383985684862483026072063269202374906412854915590750395395201<79>
factorization results 素因数分解の結果
4628667743516951356850078293964933112566978259904924700612461460378331100470787209501230714013711902593573128466416621087866539851287=1999909333104162748729174567385448889138169311622708887*2314438793248970277383985684862483026072063269202374906412854915590750395395201

cado polynomial
n: 4628667743516951356850078293964933112566978259904924700612461460378331100470787209501230714013711902593573128466416621087866539851287
skew: 165418.67
c0: -5524540613953392592877629635153
c1: -191029796931125519382144834
c2: 1438867044421715259517
c3: 3174743848269574
c4: 30330568456
c5: 70080
Y0: -36183025542194323280816338
Y1: 5343650125139291801
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.544e-07
# f(x) = 70080*x^5+30330568456*x^4+3174743848269574*x^3+1438867044421715259517*x^2-191029796931125519382144834*x-5524540613953392592877629635153
# g(x) = 5343650125139291801*x-36183025542194323280816338

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1999909333104162748729174567385448889138169311622708887 2314438793248970277383985684862483026072063269202374906412854915590750395395201
Info:Square Root: Total cpu/real time for sqrt: 381.72/113.582
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.93/164.527
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.0s
Info:Square Root: Total cpu/real time for sqrt: 381.72/113.582
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.39/105.19
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17019905
Info:Lattice Sieving: Average J: 3788.48 for 513071 special-q, max bucket fill -bkmult 1.0,1s:1.285620
Info:Lattice Sieving: Total time: 187167s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.03729
Info:Linear Algebra: Total cpu/real time for bwc: 21923.2/5668.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13917.69, WCT time 3579.73, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Linear Algebra: Lingen CPU time 229.0, WCT time 58.23
Info:Linear Algebra: Mksol: CPU time 7576.63,  WCT time 1956.21, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.48/63.2858
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.96/87.5199
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6126.12
Info:Polynomial Selection (root optimized): Rootsieve time: 6123.66
Info:Filtering - Merging: Merged matrix has 1190209 rows and total weight 203095026 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 304.35/85.2647
Info:Filtering - Merging: Total cpu/real time for replay: 43.6/37.2545
Info:Quadratic Characters: Total cpu/real time for characters: 39.85/16.7443
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54510/39.420/47.662/54.310/0.973
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44651/37.500/42.451/48.410/0.975
Info:Polynomial Selection (size optimized): Total time: 11178.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 393869/82460.7
Info:root: Cleaning up computation data in /tmp/cado.7qonr0g2
1999909333104162748729174567385448889138169311622708887 2314438793248970277383985684862483026072063269202374906412854915590750395395201
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 19:26:44 UTC 2022 年 6 月 30 日 (木) 4 時 26 分 44 秒 (日本時間)
4511e64480Ignacio SantosJuly 3, 2022 14:12:26 UTC 2022 年 7 月 3 日 (日) 23 時 12 分 26 秒 (日本時間)

41×10256+229

c222

composite cofactor 合成数の残り
290425442022631041659884836599229050150037157954647966055333927211896823136090683955499860356651198167543223855677659255196176450244995556581837358896817110863671592526347890452290631553429375758357831267182916018632807023<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)

41×10257+229

c251

composite cofactor 合成数の残り
20299093980141287437260080181025141675546034983418957387240835154632408212522285310816112794995221741807030693190591688784509957443296040531012812203902438435100662563417711517970307653761502815796247953096299525667605267066317209347101030442412614059<251>

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)

41×10258+229

c181

composite cofactor 合成数の残り
5821973022431282136297737502694283786740000107376674989725385308551705217832467777105231117043337413950335209106398459287848817772157986925095868210207686670007027244572698392731867<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)

41×10259+229

c252

composite cofactor 合成数の残り
689447150726300455142404182324978367250383229198731214107990905364745339225436125517950114745361926744746993696808458670369152571281209426981067616446370981751924693456746660259987426434601715310206807340857932631105514010983673363455178453860415881853<252>

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)

41×10260+229

c249

composite cofactor 合成数の残り
302804727360761998671158658307937245608709605836869962857273030805691408777468932611169624336734148707324519876693406336070508870461775556500712054393219026319146058532345325336413617846910586780379683659186597750247493843744747529032220743115422457<249>

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)

41×10262+229

c217

composite cofactor 合成数の残り
3462800414891510615709498710109537588645206758725270878394167161665625266522912586196000998737077614231379952622100607012805076326496483587686559390515012350567412403680659824354845519373913510567159571894208920109157<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)

41×10264+229

c253

composite cofactor 合成数の残り
6211309645864276961070571165053022769782024181820143522582867788564410981082409285799853959744023310147404887762539973374142877229554747354029262046942101970510025742996401102768391563167772282105599848018463398634744744884753232640520521354109338367851<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)

41×10266+229

c204

composite cofactor 合成数の残り
660029646102043194139256782304553108253732032487450128785913908327887996427712458592889602960014198325939855980621611225654758390342221015475305537323231229534068427245338359573766194426060865308658444371<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)

41×10267+229

c263

composite cofactor 合成数の残り
69252311507031643239116408068401014799725693283201416125316280373894918907232306034409953415152405757738523540718670085366142038179981690364469848219202145808208256902428560328897807235346379793188950709245014678111877953779993851746002790361429502835966610251369<263>

ECM

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

41×10269+229

c225

composite cofactor 合成数の残り
225826708114178794727834784927394158648223511407265146200829411401535901279462831471191241817770271422356339767500668443044142463395509913061980799184962554454700047049120397980721507672323530721576281000920347308573776308981<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)

41×10270+229

c218

composite cofactor 合成数の残り
46907899292634595258532316183327323566536249484438923224643028682105607995450722376348242595432365719717578074026208644728423148817432563261228051410179463794304076193499157903274953614940793752449071416503876975639741<218>

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)

41×10271+229

c237

composite cofactor 合成数の残り
200413130147733970717225063140260619956405330914549382216935754322487599095138669760297604951055152879425787342497282089673265579350376435879683600985795062006113582093992591692671156603734216577497682456358038724974022053201997528878803<237>

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)

41×10272+229

c249

composite cofactor 合成数の残り
410106442579923729167849560222489806084719869018341994488676726520019975240700777936707758008889430598871803675337476871457575811889488042204443203045524609244978542282654693431778290343803058456649657943592257520271245699653890207188801222823946363<249>

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)

41×10273+229

c247

composite cofactor 合成数の残り
3941250876064872367659455151222094019754403067466747793244635711316424335021670512191759133619494617709262869714798275578810568124076540709901839851872762992173581259618131734927816185150621069622649358408668178957128940936542592211820751225407989<247>

ECM

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

41×10275+229

c228

composite cofactor 合成数の残り
515007023286046805065750778335631418340907074451722425809028614911945531183291330569033260996645934329414055293555659041483987839952249642225688493279534589618377478459448439312551014997358402083118700590568978901238128910737687<228>

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)

41×10276+229

c224

composite cofactor 合成数の残り
53564669216141060216792943902494864238520031216230698518712648826301531702659110082600512761737452039318294237761281271934650586628243071353943488135002884641452998554874984591710174043400347597707242652164440229713403012829<224>

ECM

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

41×10277+229

c255

composite cofactor 合成数の残り
312822191616062940394109573742409581714140619278201003009472408520583421207777394191457372300220244043097663556913511471584801497432392319667812391963478643224704079434562935553611245561062677419379010785421486986276812002922883259977748389322362904632139<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)

41×10279+229

c252

composite cofactor 合成数の残り
773194130204351939555473358963318017884709717330859772070711452144496865600695762415487852909766699243006170067355977266765165272510299889380553387170223570844203016968751012205250118470668557806950281027365439848565197746154196910268407768763298939227<252>

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)

41×10281+229

c282

composite cofactor 合成数の残り
227777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<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)

41×10282+229

c254

composite cofactor 合成数の残り
56054364723773864843707992229467389084539700103040943812772814690599027504306075095184889765217778835604638669074324640380129178502895149058202504001396882410980095057833491098915467426888036080480532010544729022926665822713633039943391161290756458451593<254>

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)

41×10283+229

c279

composite cofactor 合成数の残り
159384356542028099850800692583340525066494376064668064584096240161903406860058202502101152310023565560228238398568184238986346591779343631895219946524604668484425815911845678623603345983008850107953745882246837386749639830228448319428020080873954963423233885269697768385763011789<279>

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)

41×10284+229

c224

composite cofactor 合成数の残り
22080504903121182747694964226072684089022723065578708572084706023126373686733737996674223381690887162904546787231248518287419270730860827515863775184539174512101697813047446802518368707796792830122762507232290860118605730661<224>

ECM

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

41×10285+229

c236

composite cofactor 合成数の残り
28244036377385743322929501379427412286421115488835286587927524827419888657779623136794931828239440223356766136120684412518986293657616684547063618378674222095556421019632305187676482234668006595917526719230321275073420908957554752037641<236>

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)

41×10288+229

c220

composite cofactor 合成数の残り
1481235943615345924252013195123447224852694539300170748283437610984085599641543031734928049310926055276588163858548935758355871225775259285699952323691606606671410996122682924974740770183257912202483223698716050819872713<220>

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)

41×10289+229

c228

composite cofactor 合成数の残り
156273961095867411869864512670473871207087201266142147827137505972386773739473312288202160526790299186596735972378593444860817580926148942043692251384071555064151260899814589349456291098729754250853366768309103137759490056430587<228>

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)

41×10292+229

c212

composite cofactor 合成数の残り
86297042613268039478722603298344628588689852449974629975410555174199761383079208882771449020544928178464123813308417802449068811078715387398144549543812256383583539303519289059015936117534556135647325637884649967<212>

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)

41×10293+229

c240

composite cofactor 合成数の残り
107885091496213519265526868592526111818123341256162113469096410968441520689433548474043395155479054737498554754813816409500989830521555000088094496888885415487800967885996365493335145544132217864124502151704544153102400600964512373221419187<240>

ECM

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

41×10294+229

c237

composite cofactor 合成数の残り
542090434708974348900048159947811105397120682628710392354267709182731968900579476634889125082304378540909292132978023449948282201881404330746786894276460320040166809923469357378115182236385099097431334189095251362710646989657224248960081<237>

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)

41×10296+229

c272

composite cofactor 合成数の残り
95029347133396197597382884232905016397131133640500023955709862565164502617494319300042502282391351222857976065624163798801927938174628251073489895362999693669773446795104287690293875172723552720351845753786878198856631930410941339683564257683980725445316790919146350057399<272>

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)

41×10298+229

c298

composite cofactor 合成数の残り
7592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<298>

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)

41×10299+229

c251

composite cofactor 合成数の残り
17144226988935180732638371209483540474198894982678432396890124069628094944687286775092800758753162934014676180477316258091367664656497425777896673714592872425583259631295943558714097043261978566866564316433948335059152488138614086998236613004581219503<251>

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)

41×10300+229

c184

composite cofactor 合成数の残り
1166161595411871544904741967604859255077945749168505895611489974869729828505494799031554951665268177417082495476015415063643727342751445788498500694180822703235371661654153872869400611<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 29, 2022 13:00:00 UTC 2022 年 6 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 29, 2022 20:15:37 UTC 2022 年 6 月 30 日 (木) 5 時 15 分 37 秒 (日本時間)
4511e64480Ignacio SantosJuly 2, 2022 18:38:06 UTC 2022 年 7 月 3 日 (日) 3 時 38 分 6 秒 (日本時間)