Table of contents 目次

2×10123-9×1061-29

c115

name 名前Dmitry Domanov
date 日付June 13, 2022 07:50:54 UTC 2022 年 6 月 13 日 (月) 16 時 50 分 54 秒 (日本時間)
composite number 合成数
1888902709990017885849759651580259501647662444834997746567400437557890499973677196284934105751740674375403293714789<115>
prime factors 素因数
89386985305495378519562936847802617200249127252019<50>
21131741981613636150709892509379200417650347317330902977892173831<65>
factorization results 素因数分解の結果
N=1888902709990017885849759651580259501647662444834997746567400437557890499973677196284934105751740674375403293714789
  ( 115 digits)
SNFS difficulty: 123 digits.
Divisors found:
p50 factor: 89386985305495378519562936847802617200249127252019
p65 factor: 21131741981613636150709892509379200417650347317330902977892173831
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.85 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1888902709990017885849759651580259501647662444834997746567400437557890499973677196284934105751740674375403293714789
m: 5000000000000000000000000000000
deg: 4
c4: 8
c2: -9
c0: -5
skew: 0.89
# Murphy_E = 3.152e-08
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70588 x 70815
Total sieving time: 0.84 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,123.000,4,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,75000
total time: 0.85 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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10125-9×1062-29

c119

name 名前Dmitry Domanov
date 日付June 13, 2022 08:26:07 UTC 2022 年 6 月 13 日 (月) 17 時 26 分 7 秒 (日本時間)
composite number 合成数
73689415326071978347102200587009882487489379513016129876120723563738028233362588031217783908737132906966376256680866617<119>
prime factors 素因数
15899651686627568647767524723631942782219<41>
4634655952120548458809942145108456640052479581762409427631716057248470093824843<79>
factorization results 素因数分解の結果
N=73689415326071978347102200587009882487489379513016129876120723563738028233362588031217783908737132906966376256680866617
  ( 119 digits)
SNFS difficulty: 125 digits.
Divisors found:
p41 factor: 15899651686627568647767524723631942782219
p79 factor: 4634655952120548458809942145108456640052479581762409427631716057248470093824843
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.76 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 73689415326071978347102200587009882487489379513016129876120723563738028233362588031217783908737132906966376256680866617
m: 10000000000000000000000000000000
deg: 4
c4: 20
c2: -9
c0: -2
skew: 0.56
# Murphy_E = 2.659e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 730001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92146 x 92377
Total sieving time: 0.74 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,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000
total time: 0.76 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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10129-9×1064-29

c112

name 名前Dmitry Domanov
date 日付June 13, 2022 10:19:23 UTC 2022 年 6 月 13 日 (月) 19 時 19 分 23 秒 (日本時間)
composite number 合成数
7262705163096907055570975728521833175612176790042284114623423195151148616637331107354757090483497819831246894399<112>
prime factors 素因数
160764895607371306357768276240344948637222438242057457<54>
45175939284868987076941611433370605903344409602222056674607<59>
factorization results 素因数分解の結果
N=7262705163096907055570975728521833175612176790042284114623423195151148616637331107354757090483497819831246894399
  ( 112 digits)
SNFS difficulty: 129 digits.
Divisors found:
p54 factor: 160764895607371306357768276240344948637222438242057457
p59 factor: 45175939284868987076941611433370605903344409602222056674607
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7262705163096907055570975728521833175612176790042284114623423195151148616637331107354757090483497819831246894399
m: 100000000000000000000000000000000
deg: 4
c4: 20
c2: -9
c0: -2
skew: 0.56
# Murphy_E = 1.703e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 127386 x 127611
Total sieving time: 1.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 1.28 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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10139-9×1069-29

c123

name 名前Eric Jeancolas
date 日付June 15, 2022 17:34:38 UTC 2022 年 6 月 16 日 (木) 2 時 34 分 38 秒 (日本時間)
composite number 合成数
763873997593660509838230770851302053870819459423586471832396049713928243895914145020713632007220600073257529107901775647281<123>
prime factors 素因数
8168988166675596311789297581828791241<37>
93509010174576150493253049227086206988589415678557860681788507384148767263695834310441<86>
factorization results 素因数分解の結果
763873997593660509838230770851302053870819459423586471832396049713928243895914145020713632007220600073257529107901775647281=8168988166675596311789297581828791241*93509010174576150493253049227086206988589415678557860681788507384148767263695834310441

cado polynomial
n: 763873997593660509838230770851302053870819459423586471832396049713928243895914145020713632007220600073257529107901775647281
skew: 0.89
type: snfs
c0: -5
c2: -9
c4: 8
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4-9*x^2-5
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1490000
tasks.lim1 = 1490000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 93509010174576150493253049227086206988589415678557860681788507384148767263695834310441 8168988166675596311789297581828791241
Info:Square Root: Total cpu/real time for sqrt: 52.1/23.807
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.09/62.6021
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6034025
Info:Lattice Sieving: Average J: 1894.75 for 91835 special-q, max bucket fill -bkmult 1.0,1s:1.320150
Info:Lattice Sieving: Total time: 16036s
Info:Linear Algebra: Total cpu/real time for bwc: 422.42/411.25
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 188.21, WCT time 189.07, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Linear Algebra: Lingen CPU time 118.24, WCT time 101.3
Info:Linear Algebra: Mksol: CPU time 102.3,  WCT time 108.07, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2432 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.58/40.2844
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 44.78/30.2829
Info:Filtering - Merging: Merged matrix has 155267 rows and total weight 26446255 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 36.31/28.1246
Info:Filtering - Merging: Total cpu/real time for replay: 5.11/5.69831
Info:Generate Factor Base: Total cpu/real time for makefb: 0.96/1.24129
Info:Quadratic Characters: Total cpu/real time for characters: 5.05/2.62902
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.89/76.9773
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.6s
Info:Square Root: Total cpu/real time for sqrt: 52.1/23.807
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15491.7/8849.06
Info:root: Cleaning up computation data in /tmp/cado.yozpppdh
93509010174576150493253049227086206988589415678557860681788507384148767263695834310441 8168988166675596311789297581828791241
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10143-9×1071-29

c128

name 名前Eric Jeancolas
date 日付June 15, 2022 17:38:14 UTC 2022 年 6 月 16 日 (木) 2 時 38 分 14 秒 (日本時間)
composite number 合成数
38063792118521355246217176146566934322650337982713582321711616121815337102444070866696967197570902242143563698516484442296586461<128>
prime factors 素因数
7887149956253800413549908589279066073<37>
4826051530608999286019843845006909929705437411196990202351677450436289846797035813788181157<91>
factorization results 素因数分解の結果
38063792118521355246217176146566934322650337982713582321711616121815337102444070866696967197570902242143563698516484442296586461=7887149956253800413549908589279066073*4826051530608999286019843845006909929705437411196990202351677450436289846797035813788181157

cado polynomial
n: 38063792118521355246217176146566934322650337982713582321711616121815337102444070866696967197570902242143563698516484442296586461
skew: 0.89
type: snfs
c0: -5
c2: -9
c4: 8
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4-9*x^2-5
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1740000
tasks.lim1 = 1740000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.sqrt.threads = 2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4826051530608999286019843845006909929705437411196990202351677450436289846797035813788181157 7887149956253800413549908589279066073
Info:Square Root: Total cpu/real time for sqrt: 25.77/14.9409
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.95/74.8097
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.2s
Info:Square Root: Total cpu/real time for sqrt: 25.77/14.9409
Info:Filtering - Singleton removal: Total cpu/real time for purge: 42.56/59.4473
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6078130
Info:Lattice Sieving: Average J: 1894.24 for 134267 special-q, max bucket fill -bkmult 1.0,1s:1.322580
Info:Lattice Sieving: Total time: 22667.9s
Info:Linear Algebra: Total cpu/real time for bwc: 663.48/589.25
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 312.27, WCT time 298.07, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Linear Algebra: Lingen CPU time 162.78, WCT time 138.32
Info:Linear Algebra: Mksol: CPU time 170.98,  WCT time 136.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2944 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.24/30.0043
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.37/41.7466
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.5s
Info:Filtering - Merging: Merged matrix has 187689 rows and total weight 31991431 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.31/33.1999
Info:Filtering - Merging: Total cpu/real time for replay: 6.31/7.02239
Info:Generate Factor Base: Total cpu/real time for makefb: 1.1/1.4192
Info:Quadratic Characters: Total cpu/real time for characters: 5.75/4.1537
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21894.6/12398.6
Info:root: Cleaning up computation data in /tmp/cado.blgp2izo
4826051530608999286019843845006909929705437411196990202351677450436289846797035813788181157 7887149956253800413549908589279066073
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10147-9×1073-29

c120

name 名前Eric Jeancolas
date 日付June 15, 2022 17:51:36 UTC 2022 年 6 月 16 日 (木) 2 時 51 分 36 秒 (日本時間)
composite number 合成数
941539363305927451479397788200194014665153405527475015753742144421089527855991074765278517363402885053009650088587334033<120>
prime factors 素因数
43940987445053476507158593514105832312865309<44>
21427360149411444140134708020047489830131366130997101847769277554754177266437<77>
factorization results 素因数分解の結果
941539363305927451479397788200194014665153405527475015753742144421089527855991074765278517363402885053009650088587334033=43940987445053476507158593514105832312865309*21427360149411444140134708020047489830131366130997101847769277554754177266437

cado polynomial
n: 941539363305927451479397788200194014665153405527475015753742144421089527855991074765278517363402885053009650088587334033
skew: 0.89
type: snfs
c0: -5
c2: -9
c4: 8
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4-9*x^2-5
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
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: 21427360149411444140134708020047489830131366130997101847769277554754177266437 43940987445053476507158593514105832312865309
Info:Square Root: Total cpu/real time for sqrt: 42.42/33.5386
Info:Quadratic Characters: Total cpu/real time for characters: 8.8/7.04631
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.81/75.4147
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.5s
Info:Square Root: Total cpu/real time for sqrt: 42.42/33.5386
Info:Linear Algebra: Total cpu/real time for bwc: 1165.03/1011.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 600.83, WCT time 500.2, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 211.74, WCT time 179.69
Info:Linear Algebra: Mksol: CPU time 328.53,  WCT time 309.74, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4224 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.21/51.6937
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6048764
Info:Lattice Sieving: Average J: 1894.24 for 171652 special-q, max bucket fill -bkmult 1.0,1s:1.329600
Info:Lattice Sieving: Total time: 28644.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 44.35/30.4095
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.54/40.1933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.9s
Info:Filtering - Merging: Merged matrix has 269394 rows and total weight 45814922 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.17/42.6752
Info:Filtering - Merging: Total cpu/real time for replay: 9.61/10.6314
Info:Generate Factor Base: Total cpu/real time for makefb: 1.27/1.59928
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27931.9/15796.9
Info:root: Cleaning up computation data in /tmp/cado.z3yfbadq
21427360149411444140134708020047489830131366130997101847769277554754177266437 43940987445053476507158593514105832312865309
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10155-9×1077-29

c148

name 名前Bob Backstrom
date 日付June 12, 2022 17:36:55 UTC 2022 年 6 月 13 日 (月) 2 時 36 分 55 秒 (日本時間)
composite number 合成数
1433982808525022060750022051070638093526739183464090338737283207431793719049177479649883919808641303726693316089976857381648057226468173619124386293<148>
prime factors 素因数
1595198085957700640736295619196270772666969305296310685553933<61>
898937142131855921673006014680684273521366728052734334704965198994598810376537256758921<87>
factorization results 素因数分解の結果
Number: n
N=1433982808525022060750022051070638093526739183464090338737283207431793719049177479649883919808641303726693316089976857381648057226468173619124386293  ( 148 digits)
SNFS difficulty: 155 digits.
Divisors found:

Mon Jun 13 03:17:14 2022  p61 factor: 1595198085957700640736295619196270772666969305296310685553933
Mon Jun 13 03:17:14 2022  p87 factor: 898937142131855921673006014680684273521366728052734334704965198994598810376537256758921
Mon Jun 13 03:17:14 2022  elapsed time 00:05:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 2x10^155-9x10^77-2 = 2(77)12(77)
#
n: 1433982808525022060750022051070638093526739183464090338737283207431793719049177479649883919808641303726693316089976857381648057226468173619124386293
m: 500000000000000000000000000000000000000
deg: 4
c4: 8
c2: -9
c0: -5
skew: 0.89
# Murphy_E = 7.94e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1770369 hash collisions in 13881121 relations (13405759 unique)
Msieve: matrix is 391711 x 391938 (131.2 MB)

Sieving start time : 2022/06/13 02:53:53
Sieving end time  : 2022/06/13 03:11:33

Total sieving time: 0hrs 17min 40secs.

Total relation processing time: 0hrs 2min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,155,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10157-9×1078-29

c140

name 名前Bob Backstrom
date 日付June 13, 2022 01:47:54 UTC 2022 年 6 月 13 日 (月) 10 時 47 分 54 秒 (日本時間)
composite number 合成数
57989536277272038021342818609928475790712615020084573322782810450480293607813614203416057762895022096177741102150726861574341823868036875051<140>
prime factors 素因数
1506225002717488085234644883608107584671<40>
982579110713947349117915685098045089193260391921<48>
39182510303778950541609504438196795799460167485038661<53>
factorization results 素因数分解の結果
Number: n
N=57989536277272038021342818609928475790712615020084573322782810450480293607813614203416057762895022096177741102150726861574341823868036875051  ( 140 digits)
SNFS difficulty: 157 digits.
Divisors found:

Mon Jun 13 11:38:36 2022  found factor: 1506225002717488085234644883608107584671
Mon Jun 13 11:38:54 2022  found factor: 1506225002717488085234644883608107584671
Mon Jun 13 11:39:11 2022  p40 factor: 1506225002717488085234644883608107584671
Mon Jun 13 11:39:11 2022  p48 factor: 982579110713947349117915685098045089193260391921
Mon Jun 13 11:39:11 2022  p53 factor: 39182510303778950541609504438196795799460167485038661
Mon Jun 13 11:39:11 2022  elapsed time 00:07:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 2x10^157-9x10^78-2 = 2(78)12(78)
#
n: 57989536277272038021342818609928475790712615020084573322782810450480293607813614203416057762895022096177741102150726861574341823868036875051
m: 1000000000000000000000000000000000000000
deg: 4
c4: 20
c2: -9
c0: -2
skew: 0.56
# Murphy_E = 6.6e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1296396 hash collisions in 12635624 relations (12625020 unique)
Msieve: matrix is 477109 x 477335 (160.9 MB)

Sieving start time : 2022/06/13 10:23:59
Sieving end time  : 2022/06/13 11:31:28

Total sieving time: 1hrs 7min 29secs.

Total relation processing time: 0hrs 3min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,157,4,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10159-9×1079-29

c145

name 名前Bob Backstrom
date 日付June 12, 2022 21:10:40 UTC 2022 年 6 月 13 日 (月) 6 時 10 分 40 秒 (日本時間)
composite number 合成数
1150234182330130200632513100300423534311021488653653859829769613711910921693535253160439858015001921446602817014998919583019702254846669487801031<145>
prime factors 素因数
4484136401168977342244901770052755117177226047552046729826762866209<67>
256511863026796786274645862470230282965739944546005606013141367303182511248359<78>
factorization results 素因数分解の結果
Number: n
N=1150234182330130200632513100300423534311021488653653859829769613711910921693535253160439858015001921446602817014998919583019702254846669487801031  ( 145 digits)
SNFS difficulty: 159 digits.
Divisors found:

Mon Jun 13 07:00:21 2022  p67 factor: 4484136401168977342244901770052755117177226047552046729826762866209
Mon Jun 13 07:00:21 2022  p78 factor: 256511863026796786274645862470230282965739944546005606013141367303182511248359
Mon Jun 13 07:00:21 2022  elapsed time 00:09:17 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 2x10^159-9x10^79-2 = 2(79)12(79)
#
n: 1150234182330130200632513100300423534311021488653653859829769613711910921693535253160439858015001921446602817014998919583019702254846669487801031
m: 5000000000000000000000000000000000000000
deg: 4
c4: 8
c2: -9
c0: -5
skew: 0.89
# Murphy_E = 4.913e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 21600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1369325 hash collisions in 12798544 relations (12710814 unique)
Msieve: matrix is 528057 x 528283 (178.4 MB)

Sieving start time : 2022/06/13 05:12:06
Sieving end time  : 2022/06/13 06:50:16

Total sieving time: 1hrs 38min 10secs.

Total relation processing time: 0hrs 3min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,159,4,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10165-9×1082-29

c129

name 名前Eric Jeancolas
date 日付June 16, 2022 03:18:08 UTC 2022 年 6 月 16 日 (木) 12 時 18 分 8 秒 (日本時間)
composite number 合成数
150474501600221650000304440723842170621422367621088729098870274836683591513964433873279099508236378973577517063441143074793926399<129>
prime factors 素因数
7347376358426015948872967424029993030683906458201468239<55>
20480031818113764550450995302985121458317410416924133275758384531332847441<74>
factorization results 素因数分解の結果
150474501600221650000304440723842170621422367621088729098870274836683591513964433873279099508236378973577517063441143074793926399=7347376358426015948872967424029993030683906458201468239*20480031818113764550450995302985121458317410416924133275758384531332847441

cado polynomial
n: 150474501600221650000304440723842170621422367621088729098870274836683591513964433873279099508236378973577517063441143074793926399
skew: 0.56
type: snfs
c0: -2
c2: -9
c4: 20
Y0: 100000000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^4-9*x^2-2
# g(x) = -x+100000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4000000
tasks.lim1 = 4000000
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: 7347376358426015948872967424029993030683906458201468239 20480031818113764550450995302985121458317410416924133275758384531332847441
Info:Square Root: Total cpu/real time for sqrt: 149.25/119.375
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.67/73.5548
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11631993
Info:Lattice Sieving: Average J: 1894.13 for 896587 special-q, max bucket fill -bkmult 1.0,1s:1.243960
Info:Lattice Sieving: Total time: 143967s
Info:Linear Algebra: Total cpu/real time for bwc: 10648.7/8927.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6100.54, WCT time 5025.34, iteration CPU time 0.16, COMM 0.02, cpu-wait 0.02, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 1081.5, WCT time 983.02
Info:Linear Algebra: Mksol: CPU time 3342.24,  WCT time 2813.55, iteration CPU time 0.19, COMM 0.02, cpu-wait 0.02, comm-wait 0.0 (12544 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 88.45/61.6269
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.12/81.5839
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.4s
Info:Filtering - Merging: Merged matrix has 801640 rows and total weight 136289009 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.14/137.229
Info:Filtering - Merging: Total cpu/real time for replay: 31.33/34.7223
Info:Generate Factor Base: Total cpu/real time for makefb: 2.46/3.09695
Info:Quadratic Characters: Total cpu/real time for characters: 27.57/23.1391
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.96/162.171
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.2s
Info:Square Root: Total cpu/real time for sqrt: 149.25/119.375
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 183900/49087.8
Info:root: Cleaning up computation data in /tmp/cado.wq30f4y_
7347376358426015948872967424029993030683906458201468239 20480031818113764550450995302985121458317410416924133275758384531332847441
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10169-9×1084-29

c156

name 名前Bob Backstrom
date 日付June 14, 2022 23:55:29 UTC 2022 年 6 月 15 日 (水) 8 時 55 分 29 秒 (日本時間)
composite number 合成数
194490608924944003407012929554133740742322345834474747796798167266271020214055159204079837131822569105906584974753552657971259439493139830302541119704746829<156>
prime factors 素因数
96292564046170269594437440820840830273111931589661<50>
2019788452529832168867982049697272528525313689964077195323236158903106271745212922208965488563076327247089<106>
factorization results 素因数分解の結果
Number: n
N=194490608924944003407012929554133740742322345834474747796798167266271020214055159204079837131822569105906584974753552657971259439493139830302541119704746829  ( 156 digits)
SNFS difficulty: 169 digits.
Divisors found:

Wed Jun 15 09:42:04 2022  p50 factor: 96292564046170269594437440820840830273111931589661
Wed Jun 15 09:42:04 2022  p106 factor: 2019788452529832168867982049697272528525313689964077195323236158903106271745212922208965488563076327247089
Wed Jun 15 09:42:04 2022  elapsed time 00:15:12 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 2x10^169-9x10^84-2 = 2(84)12(84)
#
n: 194490608924944003407012929554133740742322345834474747796798167266271020214055159204079837131822569105906584974753552657971259439493139830302541119704746829
m: 1000000000000000000000000000000000000000000
deg: 4
c4: 20
c2: -9
c0: -2
skew: 0.56
# Murphy_E = 1.538e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 838359 hash collisions in 10750073 relations (11149549 unique)
Msieve: matrix is 826832 x 827057 (288.5 MB)

Sieving start time : 2022/06/15 05:09:27
Sieving end time  : 2022/06/15 09:07:21

Total sieving time: 3hrs 57min 54secs.

Total relation processing time: 0hrs 10min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 6sec.

Prototype def-par.txt line would be:
snfs,169,4,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10173-9×1086-29

c145

name 名前Bob Backstrom
date 日付June 19, 2022 02:03:36 UTC 2022 年 6 月 19 日 (日) 11 時 3 分 36 秒 (日本時間)
composite number 合成数
4399815130167517442769837951482702240624735025515990798568252961231436857877232672975559725412471407465822686951295996176399930553161936579757013<145>
prime factors 素因数
3582982499878843782666329102270861936483039067774983<52>
1227975612584290970711843544913182137544481752543329435346973466569440237787836165589520633411<94>
factorization results 素因数分解の結果
Number: n
N=4399815130167517442769837951482702240624735025515990798568252961231436857877232672975559725412471407465822686951295996176399930553161936579757013  ( 145 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Jun 19 11:59:31 2022  p52 factor: 3582982499878843782666329102270861936483039067774983
Sun Jun 19 11:59:31 2022  p94 factor: 1227975612584290970711843544913182137544481752543329435346973466569440237787836165589520633411
Sun Jun 19 11:59:31 2022  elapsed time 00:13:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 2x10^173-9x10^86-2 = 2(86)12(86)
#
n: 4399815130167517442769837951482702240624735025515990798568252961231436857877232672975559725412471407465822686951295996176399930553161936579757013
m: 100000000000000000000000000000
deg: 6
c6: 2
c3: -9
c0: -20
skew: 1.47
# Murphy_E = 9.521e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1010367 hash collisions in 11758760 relations (11336817 unique)
Msieve: matrix is 814694 x 814919 (284.8 MB)

Sieving start time : 2022/06/19 08:44:35
Sieving end time  : 2022/06/19 11:45:18

Total sieving time: 3hrs 0min 43secs.

Total relation processing time: 0hrs 9min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,174,6,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10175-9×1087-29

c175

name 名前Bob Backstrom
date 日付June 13, 2022 23:06:11 UTC 2022 年 6 月 14 日 (火) 8 時 6 分 11 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111110611111111111111111111111111111111111111111111111111111111111111111111111111111111111111<175>
prime factors 素因数
2243968531105477071450308035793425691215420955126334001<55>
495154497805603881156713082719851799814099771100061921987378186316453723133440070357687915034635700016678423597730037111<120>
factorization results 素因数分解の結果
Number: n
N=1111111111111111111111111111111111111111111111111111111111111111111111111111111111111110611111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 175 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jun 14 09:01:32 2022  p55 factor: 2243968531105477071450308035793425691215420955126334001
Tue Jun 14 09:01:32 2022  p120 factor: 495154497805603881156713082719851799814099771100061921987378186316453723133440070357687915034635700016678423597730037111
Tue Jun 14 09:01:32 2022  elapsed time 00:14:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 2x10^175-9×1087-2 = 2(87)12(87)
#
n: 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111110611111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000
deg: 6
c6: 20
c3: -9
c0: -2
skew: 0.68
# Murphy_E = 8.858e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3544077 hash collisions in 28594345 relations (26328328 unique)
Msieve: matrix is 691437 x 691662 (234.6 MB)

Sieving start time : 2022/06/14 05:06:16
Sieving end time  : 2022/06/14 08:46:37

Total sieving time: 3hrs 40min 21secs.

Total relation processing time: 0hrs 6min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,175,6,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10183-9×1091-29

c179

name 名前Bob Backstrom
date 日付June 17, 2022 04:56:55 UTC 2022 年 6 月 17 日 (金) 13 時 56 分 55 秒 (日本時間)
composite number 合成数
28366380166226987774090148356168269367146058491475902760048790173885910418971435055172609422035004113125124102913227243071511644399058236178481264005900207074575213457010750858083<179>
prime factors 素因数
205253175394620576266802552253431965165480166847<48>
138201906556084561263216810606299713082898717958598931823171463571064984619233150220091790192480064903266848734389571591389240292189<132>
factorization results 素因数分解の結果
Number: n
N=28366380166226987774090148356168269367146058491475902760048790173885910418971435055172609422035004113125124102913227243071511644399058236178481264005900207074575213457010750858083  ( 179 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Jun 17 14:52:45 2022  p48 factor: 205253175394620576266802552253431965165480166847
Fri Jun 17 14:52:45 2022  p132 factor: 138201906556084561263216810606299713082898717958598931823171463571064984619233150220091790192480064903266848734389571591389240292189
Fri Jun 17 14:52:45 2022  elapsed time 00:25:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 2x10^183-9x10^91-2 = 2(91)12(91)
#
n: 28366380166226987774090148356168269367146058491475902760048790173885910418971435055172609422035004113125124102913227243071511644399058236178481264005900207074575213457010750858083
m: 1000000000000000000000000000000
deg: 6
c6: 1000
c3: -45
c0: -1
skew: 0.32
# Murphy_E = 3.989e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3852514 hash collisions in 28616146 relations (26756293 unique)
Msieve: matrix is 1015804 x 1016029 (349.0 MB)

Sieving start time : 2022/06/17 08:51:09
Sieving end time  : 2022/06/17 14:26:33

Total sieving time: 5hrs 35min 24secs.

Total relation processing time: 0hrs 16min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10197-9×1098-29

c184

name 名前Bob Backstrom
date 日付August 22, 2022 10:27:33 UTC 2022 年 8 月 22 日 (月) 19 時 27 分 33 秒 (日本時間)
composite number 合成数
3792008792173135670278636724986730857887735689438579849723746596308032240660235594367210845107278082592140763772069321566076203941519332516772185415455221275079497040036964814565030723<184>
prime factors 素因数
35713581845740454483459270347097541200178424225949027804837657<62>
106178338777447693535445724164546935587419181698397520552358009077278057945993985108442795864706159817382383853764186545339<123>
factorization results 素因数分解の結果
Number: n
N=3792008792173135670278636724986730857887735689438579849723746596308032240660235594367210845107278082592140763772069321566076203941519332516772185415455221275079497040036964814565030723  ( 184 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Aug 22 20:23:21 2022  p62 factor: 35713581845740454483459270347097541200178424225949027804837657
Mon Aug 22 20:23:21 2022  p123 factor: 106178338777447693535445724164546935587419181698397520552358009077278057945993985108442795864706159817382383853764186545339
Mon Aug 22 20:23:21 2022  elapsed time 01:18:49 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 2x10^197-9x10^98-2 = 2(98)12(98)
#
n: 3792008792173135670278636724986730857887735689438579849723746596308032240660235594367210845107278082592140763772069321566076203941519332516772185415455221275079497040036964814565030723
m: 1000000000000000000000000000000000
deg: 6
c6: 2
c3: -9
c0: -20
skew: 1.47
# Murphy_E = 1.623e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3510502 hash collisions in 28042082 relations (25746426 unique)
Msieve: matrix is 1722753 x 1722978 (604.9 MB)

Sieving start time : 2022/08/22 13:07:50
Sieving end time  : 2022/08/22 19:03:35

Total sieving time: 5hrs 55min 45secs.

Total relation processing time: 1hrs 2min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 53sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62080ebinaJune 21, 2022 03:11:45 UTC 2022 年 6 月 21 日 (火) 12 時 11 分 45 秒 (日本時間)
4511e6960 / 3975Dmitry DomanovAugust 13, 2022 22:54:15 UTC 2022 年 8 月 14 日 (日) 7 時 54 分 15 秒 (日本時間)

2×10199-9×1099-29

c177

name 名前Bob Backstrom
date 日付August 27, 2022 03:37:14 UTC 2022 年 8 月 27 日 (土) 12 時 37 分 14 秒 (日本時間)
composite number 合成数
345810211800380852021870738302030582817580563357129051679109625066022949593235746446308698133876437515066465499137426133491617976046194808157261877030642059887129429876010618897<177>
prime factors 素因数
146833899286577055198229992877731708319198274899320769249932891887<66>
2355111547677828265154307997745876642941811845179409628752648029025148370445178563026448966557041251192967039231<112>
factorization results 素因数分解の結果
Number: n
N=345810211800380852021870738302030582817580563357129051679109625066022949593235746446308698133876437515066465499137426133491617976046194808157261877030642059887129429876010618897  ( 177 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Aug 27 13:12:45 2022  p66 factor: 146833899286577055198229992877731708319198274899320769249932891887
Sat Aug 27 13:12:45 2022  p112 factor: 2355111547677828265154307997745876642941811845179409628752648029025148370445178563026448966557041251192967039231
Sat Aug 27 13:12:45 2022  elapsed time 01:16:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 2x10^199-9x10^99-2 = 2(99)12(99)
#
n: 345810211800380852021870738302030582817580563357129051679109625066022949593235746446308698133876437515066465499137426133491617976046194808157261877030642059887129429876010618897
m: 1000000000000000000000000000000000
deg: 6
c6: 20
c3: -9
c0: -2
skew: 0.68
# Murphy_E = 1.505e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3558843 hash collisions in 27874811 relations (25497683 unique)
Msieve: matrix is 1825530 x 1825756 (641.0 MB)

Sieving start time : 2022/08/27 04:27:31
Sieving end time  : 2022/08/27 11:56:08

Total sieving time: 7hrs 28min 37secs.

Total relation processing time: 1hrs 5min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62080ebinaJune 21, 2022 05:28:52 UTC 2022 年 6 月 21 日 (火) 14 時 28 分 52 秒 (日本時間)
4511e6960 / 3975Dmitry DomanovAugust 13, 2022 22:55:18 UTC 2022 年 8 月 14 日 (日) 7 時 55 分 18 秒 (日本時間)

2×10201-9×10100-29

c133

name 名前Eric Jeancolas
date 日付June 15, 2022 11:05:14 UTC 2022 年 6 月 15 日 (水) 20 時 5 分 14 秒 (日本時間)
composite number 合成数
6717306968692918592067359511839351106291383460788826523348170747767241209516499484168646313232918424363378669471755575317230885674179<133>
prime factors 素因数
12547569350892242122334422205162127866958308777339<50>
535347267733193218790152456951127404358948963989602739035792586851571186950754633561<84>
factorization results 素因数分解の結果
6717306968692918592067359511839351106291383460788826523348170747767241209516499484168646313232918424363378669471755575317230885674179=12547569350892242122334422205162127866958308777339*535347267733193218790152456951127404358948963989602739035792586851571186950754633561

cado polynomial
n: 6717306968692918592067359511839351106291383460788826523348170747767241209516499484168646313232918424363378669471755575317230885674179
skew: 140980.543
c0: 3970500562023188790337962209520
c1: -161429105117947775983377044
c2: 281110591116126869989
c3: 8739549845279353
c4: 29961749002
c5: 110880
Y0: -41142925726958837582671687
Y1: 4108259186374629949
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.503e-07
# f(x) = 110880*x^5+29961749002*x^4+8739549845279353*x^3+281110591116126869989*x^2-161429105117947775983377044*x+3970500562023188790337962209520
# g(x) = 4108259186374629949*x-41142925726958837582671687

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: 535347267733193218790152456951127404358948963989602739035792586851571186950754633561 12547569350892242122334422205162127866958308777339
Info:Square Root: Total cpu/real time for sqrt: 382.67/220.629
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): 54106/38.040/47.721/52.860/0.985
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44233/38.530/42.519/48.300/0.980
Info:Polynomial Selection (size optimized): Total time: 11071
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 197.22/293.148
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 279.5s
Info:Quadratic Characters: Total cpu/real time for characters: 40.82/34.0133
Info:Square Root: Total cpu/real time for sqrt: 382.67/220.629
Info:Linear Algebra: Total cpu/real time for bwc: 23582.4/17316.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14487.85, WCT time 10496.99, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (38144 iterations)
Info:Linear Algebra: Lingen CPU time 1013.75, WCT time 837.91
Info:Linear Algebra: Mksol: CPU time 7881.73,  WCT time 5823.69, iteration CPU time 0.26, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (19200 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.15/126.503
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17018504
Info:Lattice Sieving: Average J: 3798.81 for 531696 special-q, max bucket fill -bkmult 1.0,1s:1.170360
Info:Lattice Sieving: Total time: 257381s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.21/11.5072
Info:Generate Free Relations: Total cpu/real time for freerel: 247.6/158.797
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.47/135.956
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6249.71
Info:Polynomial Selection (root optimized): Rootsieve time: 6247.31
Info:Filtering - Merging: Merged matrix has 1214828 rows and total weight 206647430 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 319.3/192.271
Info:Filtering - Merging: Total cpu/real time for replay: 48.78/53.9644
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 379067/109336
Info:root: Cleaning up computation data in /tmp/cado.pe5x168i
535347267733193218790152456951127404358948963989602739035792586851571186950754633561 12547569350892242122334422205162127866958308777339
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 13, 2022 15:55:36 UTC 2022 年 6 月 14 日 (火) 0 時 55 分 36 秒 (日本時間)
4511e64480Ignacio SantosJune 13, 2022 19:04:40 UTC 2022 年 6 月 14 日 (火) 4 時 4 分 40 秒 (日本時間)

2×10203-9×10101-29

c176

name 名前ebina
date 日付May 21, 2023 21:13:07 UTC 2023 年 5 月 22 日 (月) 6 時 13 分 7 秒 (日本時間)
composite number 合成数
57616144947973991058872979270915333471010608360263755467755109862188145384305423289459461466079309543406421629273038767864087306263574979062446345795777835290262162174212519739<176>
prime factors 素因数
2608262712221044292033561467821099891320022861433496733932483211441613831<73>
22089854936012731954210436022022675497733797997808689602172202383281202246936860256595937009737963943469<104>
factorization results 素因数分解の結果
Number: 22122_101
N = 57616144947973991058872979270915333471010608360263755467755109862188145384305423289459461466079309543406421629273038767864087306263574979062446345795777835290262162174212519739 (176 digits)
SNFS difficulty: 205 digits.
Divisors found:
r1=2608262712221044292033561467821099891320022861433496733932483211441613831 (pp73)
r2=22089854936012731954210436022022675497733797997808689602172202383281202246936860256595937009737963943469 (pp104)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 71.14 hours.
Factorization parameters were as follows:
n: 57616144947973991058872979270915333471010608360263755467755109862188145384305423289459461466079309543406421629273038767864087306263574979062446345795777835290262162174212519739
m: 10000000000000000000000000000000000
deg: 6
c6: 2
c3: -9
c0: -20
skew: 1.47
# Murphy_E = 1.031e-11
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 37810559
Relations: 5682126 relations
Pruned matrix : 3337354 x 3337587
Total sieving time: 64.37 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.79 hours.
time per square root: 0.66 hours.
Prototype def-par.txt line would be: snfs,205,6,0,0,0,0,0,0,0,0,17800000,17800000,29,29,56,56,2.6,2.6,100000
total time: 71.14 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e620781000Dmitry DomanovJuly 19, 2022 12:48:35 UTC 2022 年 7 月 19 日 (火) 21 時 48 分 35 秒 (日本時間)
1078ebinaJuly 27, 2022 02:04:42 UTC 2022 年 7 月 27 日 (水) 11 時 4 分 42 秒 (日本時間)
4511e62960960Dmitry DomanovAugust 13, 2022 22:55:26 UTC 2022 年 8 月 14 日 (日) 7 時 55 分 26 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:13:34 UTC 2022 年 9 月 6 日 (火) 1 時 13 分 34 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:34:56 UTC 2022 年 9 月 24 日 (土) 20 時 34 分 56 秒 (日本時間)
5043e63628 / 65881792Dmitry DomanovNovember 19, 2022 19:00:24 UTC 2022 年 11 月 20 日 (日) 4 時 0 分 24 秒 (日本時間)
1000Dmitry DomanovDecember 23, 2022 00:26:25 UTC 2022 年 12 月 23 日 (金) 9 時 26 分 25 秒 (日本時間)
120Rytis SlatkevičiusApril 24, 2023 12:47:28 UTC 2023 年 4 月 24 日 (月) 21 時 47 分 28 秒 (日本時間)
716Rytis SlatkevičiusApril 24, 2023 14:54:49 UTC 2023 年 4 月 24 日 (月) 23 時 54 分 49 秒 (日本時間)
5511e790 / 16272Rytis SlatkevičiusApril 24, 2023 15:30:07 UTC 2023 年 4 月 25 日 (火) 0 時 30 分 7 秒 (日本時間)

2×10205-9×10102-29

c118

name 名前Eric Jeancolas
date 日付June 13, 2022 12:18:04 UTC 2022 年 6 月 13 日 (月) 21 時 18 分 4 秒 (日本時間)
composite number 合成数
1386678684822631749390291857637726316329006788975703732944818081709580977615324644947400865080828763689064544917130869<118>
prime factors 素因数
44331105142968716125043622132651294821294116725548454151<56>
31280038707597403110601965584504186626286947691179481058202019<62>
factorization results 素因数分解の結果
1386678684822631749390291857637726316329006788975703732944818081709580977615324644947400865080828763689064544917130869=44331105142968716125043622132651294821294116725548454151*31280038707597403110601965584504186626286947691179481058202019

cado polynomial
n: 1386678684822631749390291857637726316329006788975703732944818081709580977615324644947400865080828763689064544917130869
skew: 18276.57
c0: 40183461958151614282966800
c1: 2818026860231333690245
c2: -6104006473453786842
c3: -57740868278515
c4: 2786125422
c5: 146880
Y0: -35459907874374068475353
Y1: 19605811154419781
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.854e-06
# f(x) = 146880*x^5+2786125422*x^4-57740868278515*x^3-6104006473453786842*x^2+2818026860231333690245*x+40183461958151614282966800
# g(x) = 19605811154419781*x-35459907874374068475353

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

cado log (extracts)
Info:Square Root: Factors: 44331105142968716125043622132651294821294116725548454151 31280038707597403110601965584504186626286947691179481058202019
Info:Square Root: Total cpu/real time for sqrt: 146.3/106.312
Info:Quadratic Characters: Total cpu/real time for characters: 17/13.5645
Info:Square Root: Total cpu/real time for sqrt: 146.3/106.312
Info:Linear Algebra: Total cpu/real time for bwc: 3276.96/2780.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1715.48, WCT time 1466.04, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (17664 iterations)
Info:Linear Algebra: Lingen CPU time 490.23, WCT time 413.65
Info:Linear Algebra: Mksol: CPU time 1019.48,  WCT time 856.3, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8704 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 138.34/214.548
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 202.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.27/95.2765
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13438913
Info:Lattice Sieving: Average J: 1885.04 for 198657 special-q, max bucket fill -bkmult 1.0,1s:1.250160
Info:Lattice Sieving: Total time: 53112.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.19/2.19789
Info:Generate Free Relations: Total cpu/real time for freerel: 126.74/57.4661
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 990.57
Info:Polynomial Selection (root optimized): Rootsieve time: 988.1
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.75/96.9031
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 96.7s
Info:Filtering - Merging: Merged matrix has 556955 rows and total weight 56157269 (100.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.08/33.6592
Info:Filtering - Merging: Total cpu/real time for replay: 14.6/16.4728
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19899/35.000/41.778/47.450/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15517/33.590/36.961/42.280/0.800
Info:Polynomial Selection (size optimized): Total time: 2337.57
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71691.4/24795.5
Info:root: Cleaning up computation data in /tmp/cado.wz06mbgp
44331105142968716125043622132651294821294116725548454151 31280038707597403110601965584504186626286947691179481058202019
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

2×10207-9×10103-29

c188

composite cofactor 合成数の残り
39309670415755196513252870000808899571940892586523535216611435136081445525578675905740843208861996665137816381751383007160162125150357239865300435792926174670051921063455274378511151291713<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e620781000Dmitry DomanovJuly 19, 2022 12:48:44 UTC 2022 年 7 月 19 日 (火) 21 時 48 分 44 秒 (日本時間)
1078ebinaJuly 27, 2022 10:07:45 UTC 2022 年 7 月 27 日 (水) 19 時 7 分 45 秒 (日本時間)
4511e62960960Dmitry DomanovAugust 13, 2022 22:55:34 UTC 2022 年 8 月 14 日 (日) 7 時 55 分 34 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:13:47 UTC 2022 年 9 月 6 日 (火) 1 時 13 分 47 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:35:12 UTC 2022 年 9 月 24 日 (土) 20 時 35 分 12 秒 (日本時間)
5043e63584 / 68051792Dmitry DomanovNovember 17, 2022 22:18:37 UTC 2022 年 11 月 18 日 (金) 7 時 18 分 37 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:48:38 UTC 2022 年 12 月 24 日 (土) 7 時 48 分 38 秒 (日本時間)

2×10211-9×10105-29

c126

name 名前Eric Jeancolas
date 日付June 14, 2022 03:50:39 UTC 2022 年 6 月 14 日 (火) 12 時 50 分 39 秒 (日本時間)
composite number 合成数
253958822407226117234261991187863980716361734769595567457466078257969705414549736220233913751240399015966209655429830017350253<126>
prime factors 素因数
4162606408517957390753093632592076762150875577263<49>
61009568881542393504480271780250701749437593179004290136390077049516806317731<77>
factorization results 素因数分解の結果
253958822407226117234261991187863980716361734769595567457466078257969705414549736220233913751240399015966209655429830017350253=4162606408517957390753093632592076762150875577263*61009568881542393504480271780250701749437593179004290136390077049516806317731

cado polynomial
n: 253958822407226117234261991187863980716361734769595567457466078257969705414549736220233913751240399015966209655429830017350253
skew: 45983.194
c0: 276196444957048886687247456
c1: 385840283652479805662668
c2: 56727823329874684939
c3: -445643774986964
c4: -9732845856
c5: 88440
Y0: -1236264951350090180697665
Y1: 62874279667296583
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.468e-07
# f(x) = 88440*x^5-9732845856*x^4-445643774986964*x^3+56727823329874684939*x^2+385840283652479805662668*x+276196444957048886687247456
# g(x) = 62874279667296583*x-1236264951350090180697665

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: 61009568881542393504480271780250701749437593179004290136390077049516806317731 4162606408517957390753093632592076762150875577263
Info:Square Root: Total cpu/real time for sqrt: 297.72/215.043
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): 20223/36.180/44.679/48.810/0.863
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16007/36.350/40.059/45.460/0.997
Info:Polynomial Selection (size optimized): Total time: 1976.39
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 165.89/257.056
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 226.2s
Info:Quadratic Characters: Total cpu/real time for characters: 31.22/25.5651
Info:Square Root: Total cpu/real time for sqrt: 297.72/215.043
Info:Linear Algebra: Total cpu/real time for bwc: 10705.7/8170.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6329.15, WCT time 4751.82, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 795.27, WCT time 674.75
Info:Linear Algebra: Mksol: CPU time 3454.94,  WCT time 2641.26, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (12800 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.5/158.11
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11910284
Info:Lattice Sieving: Average J: 3792.43 for 219623 special-q, max bucket fill -bkmult 1.0,1s:1.214230
Info:Lattice Sieving: Total time: 117478s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/6.63635
Info:Generate Free Relations: Total cpu/real time for freerel: 127.49/81.7438
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.93/90.9844
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2710.15
Info:Polynomial Selection (root optimized): Rootsieve time: 2707.64
Info:Filtering - Merging: Merged matrix has 813797 rows and total weight 138807355 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 173.73/124.078
Info:Filtering - Merging: Total cpu/real time for replay: 34.07/37.3036
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 195129/37068
Info:root: Cleaning up computation data in /tmp/cado.ozs1cqwk
61009568881542393504480271780250701749437593179004290136390077049516806317731 4162606408517957390753093632592076762150875577263
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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 13, 2022 15:46:04 UTC 2022 年 6 月 14 日 (火) 0 時 46 分 4 秒 (日本時間)
4511e64480Ignacio SantosJune 13, 2022 18:04:01 UTC 2022 年 6 月 14 日 (火) 3 時 4 分 1 秒 (日本時間)

2×10213-9×10106-29

c196

composite cofactor 合成数の残り
2116723018881020045800598381635089683309476988205029178492346221602041964789425774519394423582737421507480135998957305127477556991121907701471085552952478858910202419447315684902401076796872901591<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 19, 2022 12:48:51 UTC 2022 年 7 月 19 日 (火) 21 時 48 分 51 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 13, 2022 22:55:43 UTC 2022 年 8 月 14 日 (日) 7 時 55 分 43 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:13:54 UTC 2022 年 9 月 6 日 (火) 1 時 13 分 54 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:35:20 UTC 2022 年 9 月 24 日 (土) 20 時 35 分 20 秒 (日本時間)
5043e63584 / 67921792Dmitry DomanovNovember 13, 2022 00:30:38 UTC 2022 年 11 月 13 日 (日) 9 時 30 分 38 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:40:00 UTC 2022 年 12 月 24 日 (土) 7 時 40 分 0 秒 (日本時間)

2×10215-9×10107-29

c164

composite cofactor 合成数の残り
37135445576718422209601025024197023524617985593558237753270354919567423158403082350824371000437100953346832840150640892370636416077921248128221028862334883800916103<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 19, 2022 12:48:58 UTC 2022 年 7 月 19 日 (火) 21 時 48 分 58 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 13, 2022 22:55:53 UTC 2022 年 8 月 14 日 (日) 7 時 55 分 53 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:14:03 UTC 2022 年 9 月 6 日 (火) 1 時 14 分 3 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:35:27 UTC 2022 年 9 月 24 日 (土) 20 時 35 分 27 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 21, 2022 21:09:54 UTC 2022 年 11 月 22 日 (火) 6 時 9 分 54 秒 (日本時間)
2000Dmitry DomanovDecember 21, 2022 12:29:48 UTC 2022 年 12 月 21 日 (水) 21 時 29 分 48 秒 (日本時間)

2×10217-9×10108-29

c205

composite cofactor 合成数の残り
6449258177004831133732749734794008485074851345708502045977951072132492266855369289385120783158438086452489210967715779983501980062356608473507451947575044337074945199371367065252048900451279122399234237431<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:53:29 UTC 2022 年 7 月 29 日 (金) 19 時 53 分 29 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:07:57 UTC 2022 年 8 月 17 日 (水) 16 時 7 分 57 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:01 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 1 秒 (日本時間)
5043e635841792Dmitry DomanovNovember 13, 2022 00:25:41 UTC 2022 年 11 月 13 日 (日) 9 時 25 分 41 秒 (日本時間)
1792Dmitry DomanovDecember 22, 2022 06:43:28 UTC 2022 年 12 月 22 日 (木) 15 時 43 分 28 秒 (日本時間)
5511e72453 / 16251500Rytis SlatkevičiusMay 17, 2023 18:16:23 UTC 2023 年 5 月 18 日 (木) 3 時 16 分 23 秒 (日本時間)
1953Rytis SlatkevičiusMay 18, 2023 07:44:10 UTC 2023 年 5 月 18 日 (木) 16 時 44 分 10 秒 (日本時間)

2×10219-9×10109-29

c219

composite cofactor 合成数の残り
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111106111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:53:39 UTC 2022 年 7 月 29 日 (金) 19 時 53 分 39 秒 (日本時間)
4511e640381792Dmitry DomanovAugust 17, 2022 07:08:05 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 5 秒 (日本時間)
2246ebinaAugust 20, 2022 12:04:36 UTC 2022 年 8 月 20 日 (土) 21 時 4 分 36 秒 (日本時間)
5043e63584 / 54071792Dmitry DomanovNovember 13, 2022 00:25:59 UTC 2022 年 11 月 13 日 (日) 9 時 25 分 59 秒 (日本時間)
1792Dmitry DomanovDecember 22, 2022 06:43:38 UTC 2022 年 12 月 22 日 (木) 15 時 43 分 38 秒 (日本時間)
5511e7484 / 16223Rytis SlatkevičiusApril 25, 2023 13:12:42 UTC 2023 年 4 月 25 日 (火) 22 時 12 分 42 秒 (日本時間)

2×10225-9×10112-29

c214

composite cofactor 合成数の残り
5954168178148409370823613010659188472793073533920834464431255726025702499448090869594286859660160494505236382161999794676928969848146832449453182243376120904530116009590153640803181676305013826991403998440285854079<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:53:47 UTC 2022 年 7 月 29 日 (金) 19 時 53 分 47 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:08:12 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 12 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:18 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 18 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 13, 2022 00:26:39 UTC 2022 年 11 月 13 日 (日) 9 時 26 分 39 秒 (日本時間)
1792Dmitry DomanovDecember 22, 2022 06:43:47 UTC 2022 年 12 月 22 日 (木) 15 時 43 分 47 秒 (日本時間)

2×10227-9×10113-29

c201

name 名前Dmitry Domanov
date 日付August 20, 2022 23:10:00 UTC 2022 年 8 月 21 日 (日) 8 時 10 分 0 秒 (日本時間)
composite number 合成数
108962595578153270286505722735725059834615835520812235990497526452855308820672050334743775474693641974618429014706154837836123681017830578413169164135897734435682874614464466845134470351385235926657311<201>
prime factors 素因数
6407301823507614054120617093572110427<37>
composite cofactor 合成数の残り
17006003241236850976550778003374288992081998597022972685764935964094114179980039268539187612368305133070893704520407593330305733021548247200036654846617822302698893<164>
factorization results 素因数分解の結果
Resuming ECM residue saved by @99a95a4cac45 with GMP-ECM 7.0.5-dev on Thu Aug 18 15:12:46 2022 
Input number is 108962595578153270286505722735725059834615835520812235990497526452855308820672050334743775474693641974618429014706154837836123681017830578413169164135897734435682874614464466845134470351385235926657311 (201 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1083345841
Step 1 took 0ms
Step 2 took 16049ms
********** Factor found in step 2: 6407301823507614054120617093572110427
Found prime factor of 37 digits: 6407301823507614054120617093572110427
Composite cofactor 17006003241236850976550778003374288992081998597022972685764935964094114179980039268539187612368305133070893704520407593330305733021548247200036654846617822302698893 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:53:55 UTC 2022 年 7 月 29 日 (金) 19 時 53 分 55 秒 (日本時間)
4511e630321792Dmitry DomanovAugust 17, 2022 07:08:20 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 20 秒 (日本時間)
240Dmitry DomanovSeptember 5, 2022 16:14:16 UTC 2022 年 9 月 6 日 (火) 1 時 14 分 16 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:35:36 UTC 2022 年 9 月 24 日 (土) 20 時 35 分 36 秒 (日本時間)
5043e63792 / 43881792Dmitry DomanovNovember 21, 2022 21:10:14 UTC 2022 年 11 月 22 日 (火) 6 時 10 分 14 秒 (日本時間)
2000Dmitry DomanovDecember 21, 2022 18:27:35 UTC 2022 年 12 月 22 日 (木) 3 時 27 分 35 秒 (日本時間)
5511e71000 / 16212Dmitry DomanovJanuary 6, 2023 22:15:30 UTC 2023 年 1 月 7 日 (土) 7 時 15 分 30 秒 (日本時間)

2×10229-9×10114-29

c178

composite cofactor 合成数の残り
1165737853832070076768713608539145392753912268801030915037532612170071734646513273131802607963516531056171276250945912271360462158002517447704918950559657641873800989739662797891<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 19, 2022 12:49:05 UTC 2022 年 7 月 19 日 (火) 21 時 49 分 5 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 13, 2022 22:56:02 UTC 2022 年 8 月 14 日 (日) 7 時 56 分 2 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:14:28 UTC 2022 年 9 月 6 日 (火) 1 時 14 分 28 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:35:44 UTC 2022 年 9 月 24 日 (土) 20 時 35 分 44 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 19, 2022 19:00:32 UTC 2022 年 11 月 20 日 (日) 4 時 0 分 32 秒 (日本時間)
2000Dmitry DomanovDecember 22, 2022 07:53:33 UTC 2022 年 12 月 22 日 (木) 16 時 53 分 33 秒 (日本時間)

2×10235-9×10117-29

c220

name 名前Dmitry Domanov
date 日付July 26, 2022 22:28:34 UTC 2022 年 7 月 27 日 (水) 7 時 28 分 34 秒 (日本時間)
composite number 合成数
5228249553170984682128982059983207468605797997718511476181858804912008543858533325415525771132939436099883601895608741268699171888430669422586218309780044408135065673454045719965603211329730470496585147483713827396637003<220>
prime factors 素因数
238608639091992410664710156977161807681703<42>
21911400916021745930260317594672367085051144007543363442834449686586246236061977001300758468035883158120446557048575604018081003835205594157955272942410438153609756680301653095101<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @0ca411a08d28 with GMP-ECM 7.0.5-dev on Tue Jul 26 13:45:42 2022 
Input number is 5228249553170984682128982059983207468605797997718511476181858804912008543858533325415525771132939436099883601895608741268699171888430669422586218309780044408135065673454045719965603211329730470496585147483713827396637003 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:321273129
Step 1 took 0ms
Step 2 took 4996ms
********** Factor found in step 2: 238608639091992410664710156977161807681703
Found prime factor of 42 digits: 238608639091992410664710156977161807681703
Prime cofactor 21911400916021745930260317594672367085051144007543363442834449686586246236061977001300758468035883158120446557048575604018081003835205594157955272942410438153609756680301653095101 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 26, 2022 12:23:51 UTC 2022 年 7 月 26 日 (火) 21 時 23 分 51 秒 (日本時間)

2×10237-9×10118-29

c204

name 名前Dmitry Domanov
date 日付December 23, 2022 21:59:08 UTC 2022 年 12 月 24 日 (土) 6 時 59 分 8 秒 (日本時間)
composite number 合成数
125687747344990005758608805642356662389777100982686966465090074566082973921264498761726817934990212519323402691967714011450574751024775582275437744952690873300546877711632725439795817924688122728081550781<204>
prime factors 素因数
4510478671709056126970692771816802412341832207722476303<55>
27865722574709775062484779783918574926205971670757915822010213105778718971741161286252564366977170055672424466647514420512950437643074531657958810227<149>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e79dbeb79bbe with GMP-ECM 7.0.5-dev on Thu Dec 22 22:27:15 2022 
Input number is 125687747344990005758608805642356662389777100982686966465090074566082973921264498761726817934990212519323402691967714011450574751024775582275437744952690873300546877711632725439795817924688122728081550781 (204 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1107777772
Step 1 took 0ms
Step 2 took 29672ms
********** Factor found in step 2: 4510478671709056126970692771816802412341832207722476303
Found prime factor of 55 digits: 4510478671709056126970692771816802412341832207722476303
Prime cofactor 27865722574709775062484779783918574926205971670757915822010213105778718971741161286252564366977170055672424466647514420512950437643074531657958810227 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:54:02 UTC 2022 年 7 月 29 日 (金) 19 時 54 分 2 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:08:26 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 26 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:26 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 26 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 13, 2022 00:26:29 UTC 2022 年 11 月 13 日 (日) 9 時 26 分 29 秒 (日本時間)
1792Dmitry DomanovDecember 22, 2022 06:43:57 UTC 2022 年 12 月 22 日 (木) 15 時 43 分 57 秒 (日本時間)

2×10239-9×10119-29

c233

name 名前NFS@home + Dmitry Domanov
date 日付February 11, 2023 01:14:51 UTC 2023 年 2 月 11 日 (土) 10 時 14 分 51 秒 (日本時間)
composite number 合成数
27929504812672621795682824723085942158554123051253713576783654983475508477582243314584256752586202321891453096725740362170267757369688611157893031672337752618879842522280064226689267221961081352223733208432587811061368663039741171693<233>
prime factors 素因数
294927468445612342110464792280778376668536052808063345192719<60>
4274347154940970276487428169292549299898796119920122715908452872226329183263<76>
22155329883303320601983552673494212831491519973754737772759035465397877834382753684429855940671069<98>
factorization results 素因数分解の結果
Thu Feb  9 21:53:59 2023  
Thu Feb  9 21:53:59 2023  
Thu Feb  9 21:53:59 2023  Msieve v. 1.54 (SVN unknown)
Thu Feb  9 21:53:59 2023  random seeds: db2b5568 32656c3d
Thu Feb  9 21:53:59 2023  factoring 27929504812672621795682824723085942158554123051253713576783654983475508477582243314584256752586202321891453096725740362170267757369688611157893031672337752618879842522280064226689267221961081352223733208432587811061368663039741171693 (233 digits)
Thu Feb  9 21:54:01 2023  searching for 15-digit factors
Thu Feb  9 21:54:02 2023  commencing number field sieve (233-digit input)
Thu Feb  9 21:54:02 2023  R0: -5000000000000000000000000000000000000000
Thu Feb  9 21:54:02 2023  R1: 1
Thu Feb  9 21:54:02 2023  A0: -5
Thu Feb  9 21:54:02 2023  A1: 0
Thu Feb  9 21:54:02 2023  A2: 0
Thu Feb  9 21:54:02 2023  A3: -18
Thu Feb  9 21:54:02 2023  A4: 0
Thu Feb  9 21:54:02 2023  A5: 0
Thu Feb  9 21:54:02 2023  A6: 32
Thu Feb  9 21:54:02 2023  skew 1.00, size 9.651e-12, alpha -0.207, combined = 6.185e-13 rroots = 2
Thu Feb  9 21:54:02 2023  
Thu Feb  9 21:54:02 2023  commencing relation filtering
Thu Feb  9 21:54:02 2023  setting target matrix density to 124.0
Thu Feb  9 21:54:02 2023  estimated available RAM is 15536.6 MB
Thu Feb  9 21:54:02 2023  commencing duplicate removal, pass 1
Thu Feb  9 21:54:51 2023  error -9 reading relation 18266441
Thu Feb  9 21:54:57 2023  error -15 reading relation 20901700
Thu Feb  9 21:55:13 2023  error -5 reading relation 27499899
Thu Feb  9 21:55:13 2023  error -15 reading relation 27711415
Thu Feb  9 21:55:13 2023  error -15 reading relation 27712105
Thu Feb  9 21:55:15 2023  error -9 reading relation 28348302
Thu Feb  9 21:55:17 2023  error -15 reading relation 29092820
Thu Feb  9 21:56:20 2023  error -1 reading relation 55195719
Thu Feb  9 21:56:27 2023  error -5 reading relation 57961502
Thu Feb  9 21:56:34 2023  error -9 reading relation 61177723
Thu Feb  9 21:56:41 2023  error -5 reading relation 63998231
Thu Feb  9 21:56:47 2023  error -9 reading relation 66425844
Thu Feb  9 21:57:13 2023  error -1 reading relation 77023765
Thu Feb  9 21:57:28 2023  error -5 reading relation 82886456
Thu Feb  9 21:57:28 2023  error -5 reading relation 82896725
Thu Feb  9 21:57:33 2023  error -5 reading relation 85022156
Thu Feb  9 21:58:02 2023  error -9 reading relation 97000422
Thu Feb  9 21:58:22 2023  error -9 reading relation 105138355
Thu Feb  9 21:58:32 2023  error -9 reading relation 109234828
Thu Feb  9 21:58:32 2023  error -15 reading relation 109237770
Thu Feb  9 21:59:14 2023  error -9 reading relation 126225861
Thu Feb  9 21:59:21 2023  error -15 reading relation 129325385
Thu Feb  9 21:59:22 2023  error -5 reading relation 129503734
Thu Feb  9 21:59:22 2023  error -15 reading relation 129636766
Thu Feb  9 21:59:37 2023  error -5 reading relation 135909510
Thu Feb  9 21:59:39 2023  error -15 reading relation 136664230
Thu Feb  9 21:59:49 2023  error -15 reading relation 140899261
Thu Feb  9 21:59:49 2023  error -1 reading relation 140912482
Thu Feb  9 21:59:49 2023  error -9 reading relation 140919391
Thu Feb  9 22:00:15 2023  error -15 reading relation 151201061
Thu Feb  9 22:00:19 2023  error -9 reading relation 152961481
Thu Feb  9 22:00:21 2023  error -9 reading relation 153655694
Thu Feb  9 22:00:25 2023  error -5 reading relation 155501443
Thu Feb  9 22:00:25 2023  error -5 reading relation 155626398
Thu Feb  9 22:00:28 2023  error -5 reading relation 156868206
Thu Feb  9 22:00:32 2023  error -1 reading relation 158510184
Thu Feb  9 22:01:04 2023  error -5 reading relation 171371443
Thu Feb  9 22:01:04 2023  error -15 reading relation 171577948
Thu Feb  9 22:01:14 2023  error -9 reading relation 175401947
Thu Feb  9 22:01:14 2023  error -9 reading relation 175408970
Thu Feb  9 22:01:28 2023  error -5 reading relation 181088876
Thu Feb  9 22:02:14 2023  error -1 reading relation 199988727
Thu Feb  9 22:02:14 2023  error -9 reading relation 199996077
Thu Feb  9 22:02:17 2023  error -5 reading relation 201261784
Thu Feb  9 22:02:18 2023  error -9 reading relation 201495541
Thu Feb  9 22:02:20 2023  error -1 reading relation 202439177
Thu Feb  9 22:02:24 2023  skipped 75 relations with b > 2^32
Thu Feb  9 22:02:24 2023  skipped 33 relations with composite factors
Thu Feb  9 22:02:24 2023  found 43545095 hash collisions in 203972015 relations
Thu Feb  9 22:02:43 2023  commencing duplicate removal, pass 2
Thu Feb  9 22:09:07 2023  found 46403518 duplicates and 157568497 unique relations
Thu Feb  9 22:09:07 2023  memory use: 1321.5 MB
Thu Feb  9 22:09:07 2023  reading ideals above 110034944
Thu Feb  9 22:09:07 2023  commencing singleton removal, initial pass
Thu Feb  9 22:16:51 2023  memory use: 3012.0 MB
Thu Feb  9 22:16:52 2023  reading all ideals from disk
Thu Feb  9 22:17:07 2023  memory use: 3966.6 MB
Thu Feb  9 22:17:19 2023  commencing in-memory singleton removal
Thu Feb  9 22:17:23 2023  begin with 157568497 relations and 121444808 unique ideals
Thu Feb  9 22:17:38 2023  reduce to 113158720 relations and 73512036 ideals in 12 passes
Thu Feb  9 22:17:38 2023  max relations containing the same ideal: 29
Thu Feb  9 22:17:43 2023  reading ideals above 720000
Thu Feb  9 22:17:43 2023  commencing singleton removal, initial pass
Thu Feb  9 22:26:42 2023  memory use: 2756.0 MB
Thu Feb  9 22:26:42 2023  reading all ideals from disk
Thu Feb  9 22:27:14 2023  memory use: 5232.3 MB
Thu Feb  9 22:27:33 2023  keeping 85556112 ideals with weight <= 200, target excess is 565654
Thu Feb  9 22:27:56 2023  commencing in-memory singleton removal
Thu Feb  9 22:28:03 2023  begin with 113158720 relations and 85556112 unique ideals
Thu Feb  9 22:28:12 2023  reduce to 113158632 relations and 85556024 ideals in 4 passes
Thu Feb  9 22:28:12 2023  max relations containing the same ideal: 200
Thu Feb  9 22:28:55 2023  removing 8584582 relations and 6584582 ideals in 2000000 cliques
Thu Feb  9 22:29:01 2023  commencing in-memory singleton removal
Thu Feb  9 22:29:08 2023  begin with 104574050 relations and 85556024 unique ideals
Thu Feb  9 22:29:23 2023  reduce to 104056251 relations and 78442012 ideals in 8 passes
Thu Feb  9 22:29:23 2023  max relations containing the same ideal: 198
Thu Feb  9 22:30:02 2023  removing 6768696 relations and 4768696 ideals in 2000000 cliques
Thu Feb  9 22:30:08 2023  commencing in-memory singleton removal
Thu Feb  9 22:30:14 2023  begin with 97287555 relations and 78442012 unique ideals
Thu Feb  9 22:30:25 2023  reduce to 96930280 relations and 73309054 ideals in 6 passes
Thu Feb  9 22:30:25 2023  max relations containing the same ideal: 192
Thu Feb  9 22:31:01 2023  removing 6279182 relations and 4279182 ideals in 2000000 cliques
Thu Feb  9 22:31:07 2023  commencing in-memory singleton removal
Thu Feb  9 22:31:12 2023  begin with 90651098 relations and 73309054 unique ideals
Thu Feb  9 22:31:22 2023  reduce to 90336537 relations and 68709003 ideals in 6 passes
Thu Feb  9 22:31:22 2023  max relations containing the same ideal: 183
Thu Feb  9 22:32:00 2023  removing 6030196 relations and 4030196 ideals in 2000000 cliques
Thu Feb  9 22:32:05 2023  commencing in-memory singleton removal
Thu Feb  9 22:32:10 2023  begin with 84306341 relations and 68709003 unique ideals
Thu Feb  9 22:32:20 2023  reduce to 84006487 relations and 64372777 ideals in 6 passes
Thu Feb  9 22:32:20 2023  max relations containing the same ideal: 177
Thu Feb  9 22:32:53 2023  removing 5878837 relations and 3878837 ideals in 2000000 cliques
Thu Feb  9 22:32:59 2023  commencing in-memory singleton removal
Thu Feb  9 22:33:03 2023  begin with 78127650 relations and 64372777 unique ideals
Thu Feb  9 22:33:11 2023  reduce to 77831113 relations and 60191050 ideals in 6 passes
Thu Feb  9 22:33:11 2023  max relations containing the same ideal: 167
Thu Feb  9 22:33:42 2023  removing 5785406 relations and 3785406 ideals in 2000000 cliques
Thu Feb  9 22:33:47 2023  commencing in-memory singleton removal
Thu Feb  9 22:33:51 2023  begin with 72045707 relations and 60191050 unique ideals
Thu Feb  9 22:33:59 2023  reduce to 71743373 relations and 56096422 ideals in 6 passes
Thu Feb  9 22:33:59 2023  max relations containing the same ideal: 158
Thu Feb  9 22:34:25 2023  removing 5720569 relations and 3720569 ideals in 2000000 cliques
Thu Feb  9 22:34:30 2023  commencing in-memory singleton removal
Thu Feb  9 22:34:34 2023  begin with 66022804 relations and 56096422 unique ideals
Thu Feb  9 22:34:42 2023  reduce to 65709807 relations and 52055152 ideals in 7 passes
Thu Feb  9 22:34:42 2023  max relations containing the same ideal: 151
Thu Feb  9 22:35:07 2023  removing 5684697 relations and 3684697 ideals in 2000000 cliques
Thu Feb  9 22:35:11 2023  commencing in-memory singleton removal
Thu Feb  9 22:35:15 2023  begin with 60025110 relations and 52055152 unique ideals
Thu Feb  9 22:35:22 2023  reduce to 59694318 relations and 48030901 ideals in 7 passes
Thu Feb  9 22:35:22 2023  max relations containing the same ideal: 141
Thu Feb  9 22:35:44 2023  removing 5672979 relations and 3672979 ideals in 2000000 cliques
Thu Feb  9 22:35:48 2023  commencing in-memory singleton removal
Thu Feb  9 22:35:51 2023  begin with 54021339 relations and 48030901 unique ideals
Thu Feb  9 22:35:58 2023  reduce to 53664449 relations and 43990762 ideals in 7 passes
Thu Feb  9 22:35:58 2023  max relations containing the same ideal: 132
Thu Feb  9 22:36:16 2023  removing 5680106 relations and 3680106 ideals in 2000000 cliques
Thu Feb  9 22:36:19 2023  commencing in-memory singleton removal
Thu Feb  9 22:36:21 2023  begin with 47984343 relations and 43990762 unique ideals
Thu Feb  9 22:36:29 2023  reduce to 47589785 relations and 39903494 ideals in 9 passes
Thu Feb  9 22:36:29 2023  max relations containing the same ideal: 120
Thu Feb  9 22:36:45 2023  removing 5703440 relations and 3703440 ideals in 2000000 cliques
Thu Feb  9 22:36:47 2023  commencing in-memory singleton removal
Thu Feb  9 22:36:50 2023  begin with 41886345 relations and 39903494 unique ideals
Thu Feb  9 22:36:55 2023  reduce to 41440412 relations and 35738330 ideals in 7 passes
Thu Feb  9 22:36:55 2023  max relations containing the same ideal: 109
Thu Feb  9 22:37:11 2023  removing 5745819 relations and 3745819 ideals in 2000000 cliques
Thu Feb  9 22:37:15 2023  commencing in-memory singleton removal
Thu Feb  9 22:37:17 2023  begin with 35694593 relations and 35738330 unique ideals
Thu Feb  9 22:37:21 2023  reduce to 35172897 relations and 31449581 ideals in 7 passes
Thu Feb  9 22:37:21 2023  max relations containing the same ideal: 102
Thu Feb  9 22:37:33 2023  removing 5811235 relations and 3811235 ideals in 2000000 cliques
Thu Feb  9 22:37:36 2023  commencing in-memory singleton removal
Thu Feb  9 22:37:37 2023  begin with 29361662 relations and 31449581 unique ideals
Thu Feb  9 22:37:40 2023  reduce to 28725987 relations and 26972121 ideals in 8 passes
Thu Feb  9 22:37:40 2023  max relations containing the same ideal: 90
Thu Feb  9 22:37:51 2023  removing 3616868 relations and 2519161 ideals in 1097707 cliques
Thu Feb  9 22:37:53 2023  commencing in-memory singleton removal
Thu Feb  9 22:37:54 2023  begin with 25109119 relations and 26972121 unique ideals
Thu Feb  9 22:37:56 2023  reduce to 24770432 relations and 24102833 ideals in 7 passes
Thu Feb  9 22:37:56 2023  max relations containing the same ideal: 79
Thu Feb  9 22:38:06 2023  removing 75433 relations and 63993 ideals in 11440 cliques
Thu Feb  9 22:38:07 2023  commencing in-memory singleton removal
Thu Feb  9 22:38:08 2023  begin with 24694999 relations and 24102833 unique ideals
Thu Feb  9 22:38:09 2023  reduce to 24694850 relations and 24038691 ideals in 4 passes
Thu Feb  9 22:38:09 2023  max relations containing the same ideal: 79
Thu Feb  9 22:38:15 2023  relations with 0 large ideals: 7143
Thu Feb  9 22:38:15 2023  relations with 1 large ideals: 7960
Thu Feb  9 22:38:15 2023  relations with 2 large ideals: 119431
Thu Feb  9 22:38:15 2023  relations with 3 large ideals: 765649
Thu Feb  9 22:38:15 2023  relations with 4 large ideals: 2629111
Thu Feb  9 22:38:15 2023  relations with 5 large ideals: 5326573
Thu Feb  9 22:38:15 2023  relations with 6 large ideals: 6719379
Thu Feb  9 22:38:15 2023  relations with 7+ large ideals: 9119604
Thu Feb  9 22:38:15 2023  commencing 2-way merge
Thu Feb  9 22:38:33 2023  reduce to 16590731 relation sets and 15934572 unique ideals
Thu Feb  9 22:38:33 2023  commencing full merge
Thu Feb  9 22:48:07 2023  memory use: 2072.6 MB
Thu Feb  9 22:48:10 2023  found 7358848 cycles, need 7336772
Thu Feb  9 22:48:14 2023  weight of 7336772 cycles is about 909810670 (124.01/cycle)
Thu Feb  9 22:48:14 2023  distribution of cycle lengths:
Thu Feb  9 22:48:14 2023  1 relations: 208406
Thu Feb  9 22:48:14 2023  2 relations: 384097
Thu Feb  9 22:48:14 2023  3 relations: 480714
Thu Feb  9 22:48:14 2023  4 relations: 512779
Thu Feb  9 22:48:14 2023  5 relations: 544910
Thu Feb  9 22:48:14 2023  6 relations: 550215
Thu Feb  9 22:48:14 2023  7 relations: 543559
Thu Feb  9 22:48:14 2023  8 relations: 525768
Thu Feb  9 22:48:14 2023  9 relations: 495774
Thu Feb  9 22:48:14 2023  10+ relations: 3090550
Thu Feb  9 22:48:14 2023  heaviest cycle: 28 relations
Thu Feb  9 22:48:17 2023  commencing cycle optimization
Thu Feb  9 22:48:43 2023  start with 67743337 relations
Thu Feb  9 22:52:54 2023  pruned 3559871 relations
Thu Feb  9 22:52:54 2023  memory use: 1723.6 MB
Thu Feb  9 22:52:54 2023  distribution of cycle lengths:
Thu Feb  9 22:52:54 2023  1 relations: 208406
Thu Feb  9 22:52:54 2023  2 relations: 395222
Thu Feb  9 22:52:54 2023  3 relations: 503984
Thu Feb  9 22:52:54 2023  4 relations: 538011
Thu Feb  9 22:52:54 2023  5 relations: 576353
Thu Feb  9 22:52:54 2023  6 relations: 582038
Thu Feb  9 22:52:54 2023  7 relations: 577698
Thu Feb  9 22:52:54 2023  8 relations: 555898
Thu Feb  9 22:52:54 2023  9 relations: 523472
Thu Feb  9 22:52:54 2023  10+ relations: 2875690
Thu Feb  9 22:52:54 2023  heaviest cycle: 28 relations
Thu Feb  9 22:53:12 2023  RelProcTime: 3550
Thu Feb  9 22:53:12 2023  
Thu Feb  9 22:53:12 2023  commencing linear algebra
Thu Feb  9 22:53:12 2023  using VBITS=256
Thu Feb  9 22:53:14 2023  read 7336772 cycles
Thu Feb  9 22:53:41 2023  cycles contain 24372077 unique relations
Thu Feb  9 22:59:03 2023  read 24372077 relations
Thu Feb  9 22:59:10 2023  using 20 quadratic characters above 4294917295
Thu Feb  9 22:59:28 2023  building initial matrix
Thu Feb  9 23:09:13 2023  memory use: 3188.2 MB
Thu Feb  9 23:09:20 2023  read 7336772 cycles
Thu Feb  9 23:09:22 2023  matrix is 7336595 x 7336772 (3518.3 MB) with weight 1021062524 (139.17/col)
Thu Feb  9 23:09:22 2023  sparse part has weight 841591634 (114.71/col)
Thu Feb  9 23:11:41 2023  filtering completed in 2 passes
Thu Feb  9 23:11:43 2023  matrix is 7336522 x 7336699 (3518.3 MB) with weight 1021059678 (139.17/col)
Thu Feb  9 23:11:43 2023  sparse part has weight 841590587 (114.71/col)
Thu Feb  9 23:12:32 2023  matrix starts at (0, 0)
Thu Feb  9 23:12:33 2023  matrix is 7336522 x 7336699 (3518.3 MB) with weight 1021059678 (139.17/col)
Thu Feb  9 23:12:33 2023  sparse part has weight 841590587 (114.71/col)
Thu Feb  9 23:12:33 2023  saving the first 240 matrix rows for later
Thu Feb  9 23:12:37 2023  matrix includes 256 packed rows
Thu Feb  9 23:12:41 2023  matrix is 7336282 x 7336699 (3217.3 MB) with weight 766205312 (104.43/col)
Thu Feb  9 23:12:41 2023  sparse part has weight 726009506 (98.96/col)
Thu Feb  9 23:12:41 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Thu Feb  9 23:13:15 2023  commencing Lanczos iteration (8 threads)
Thu Feb  9 23:13:15 2023  memory use: 4379.2 MB
Thu Feb  9 23:19:07 2023  linear algebra at 0.4%, ETA 22h59m
Thu Feb  9 23:27:48 2023  checking every 10000 dimensions, checkpointing every 320000 dimensions
Fri Feb 10 23:04:50 2023  lanczos halted after 28744 iterations (dim = 7336282)
Fri Feb 10 23:05:26 2023  recovered 34 nontrivial dependencies
Fri Feb 10 23:05:26 2023  BLanczosTime: 87134
Fri Feb 10 23:05:26 2023  
Fri Feb 10 23:05:26 2023  commencing square root phase
Fri Feb 10 23:05:26 2023  handling dependencies 1 to 64
Fri Feb 10 23:05:26 2023  reading relations for dependency 1
Fri Feb 10 23:05:28 2023  read 3668552 cycles
Fri Feb 10 23:05:39 2023  cycles contain 12184892 unique relations
Fri Feb 10 23:09:39 2023  read 12184892 relations
Fri Feb 10 23:10:56 2023  multiplying 12184892 relations
Fri Feb 10 23:37:26 2023  
Fri Feb 10 23:37:26 2023  
Fri Feb 10 23:37:26 2023  Msieve v. 1.54 (SVN unknown)
Fri Feb 10 23:37:26 2023  random seeds: fbfba7a6 e9c6f929
Fri Feb 10 23:37:26 2023  factoring 27929504812672621795682824723085942158554123051253713576783654983475508477582243314584256752586202321891453096725740362170267757369688611157893031672337752618879842522280064226689267221961081352223733208432587811061368663039741171693 (233 digits)
Fri Feb 10 23:37:28 2023  searching for 15-digit factors
Fri Feb 10 23:37:29 2023  commencing number field sieve (233-digit input)
Fri Feb 10 23:37:29 2023  R0: -5000000000000000000000000000000000000000
Fri Feb 10 23:37:29 2023  R1: 1
Fri Feb 10 23:37:29 2023  A0: -5
Fri Feb 10 23:37:29 2023  A1: 0
Fri Feb 10 23:37:29 2023  A2: 0
Fri Feb 10 23:37:29 2023  A3: -18
Fri Feb 10 23:37:29 2023  A4: 0
Fri Feb 10 23:37:29 2023  A5: 0
Fri Feb 10 23:37:29 2023  A6: 32
Fri Feb 10 23:37:29 2023  skew 1.00, size 9.651e-12, alpha -0.207, combined = 6.185e-13 rroots = 2
Fri Feb 10 23:37:29 2023  
Fri Feb 10 23:37:29 2023  commencing square root phase
Fri Feb 10 23:37:29 2023  reading relations for dependency 1
Fri Feb 10 23:37:31 2023  read 3668552 cycles
Fri Feb 10 23:37:44 2023  cycles contain 12184892 unique relations
Fri Feb 10 23:44:18 2023  read 12184892 relations
Fri Feb 10 23:45:56 2023  multiplying 12184892 relations
Sat Feb 11 00:04:19 2023  multiply complete, coefficients have about 360.59 million bits
Sat Feb 11 00:04:21 2023  initial square root is modulo 2952553
Sat Feb 11 00:22:30 2023  found factor: 4274347154940970276487428169292549299898796119920122715908452872226329183263
Sat Feb 11 00:22:30 2023  reading relations for dependency 2
Sat Feb 11 00:22:32 2023  read 3665436 cycles
Sat Feb 11 00:22:45 2023  cycles contain 12177972 unique relations
Sat Feb 11 00:29:11 2023  read 12177972 relations
Sat Feb 11 00:30:52 2023  multiplying 12177972 relations
Sat Feb 11 00:49:20 2023  multiply complete, coefficients have about 360.38 million bits
Sat Feb 11 00:49:22 2023  initial square root is modulo 2927473
Sat Feb 11 01:07:45 2023  sqrtTime: 5416
Sat Feb 11 01:07:45 2023  p60 factor: 294927468445612342110464792280778376668536052808063345192719
Sat Feb 11 01:07:45 2023  p76 factor: 4274347154940970276487428169292549299898796119920122715908452872226329183263
Sat Feb 11 01:07:45 2023  p98 factor: 22155329883303320601983552673494212831491519973754737772759035465397877834382753684429855940671069
Sat Feb 11 01:07:45 2023  elapsed time 01:30:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:23:59 UTC 2022 年 7 月 26 日 (火) 21 時 23 分 59 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:07 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 7 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:33 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 33 秒 (日本時間)
5043e63584 / 37821792Dmitry DomanovNovember 2, 2022 16:04:00 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 0 秒 (日本時間)
1792Dmitry DomanovDecember 8, 2022 22:33:12 UTC 2022 年 12 月 9 日 (金) 7 時 33 分 12 秒 (日本時間)
5511e71200 / 16251Dmitry DomanovJanuary 30, 2023 16:36:28 UTC 2023 年 1 月 31 日 (火) 1 時 36 分 28 秒 (日本時間)

2×10241-9×10120-29

c209

name 名前Dmitry Domanov
date 日付March 3, 2023 07:18:50 UTC 2023 年 3 月 3 日 (金) 16 時 18 分 50 秒 (日本時間)
composite number 合成数
57571157973071966095641217273384426650289515335593311176327705113457478782712301710601363146772291207730635649044629623903269519138795961182774649185074082352960472585089161283952029167610443973367430270088801<209>
prime factors 素因数
190331483626714496747021794034032635799310205075666421908619<60>
7773462327065950757661832795070339965892388401077262258998801032091567<70>
38911666741137677873418647849416526229519309623121357745219529458561155628318637<80>
factorization results 素因数分解の結果
Wed Mar  1 20:42:35 2023  
Wed Mar  1 20:42:35 2023  
Wed Mar  1 20:42:35 2023  Msieve v. 1.54 (SVN unknown)
Wed Mar  1 20:42:35 2023  random seeds: 6a0c0e96 d248c90f
Wed Mar  1 20:42:35 2023  factoring 57571157973071966095641217273384426650289515335593311176327705113457478782712301710601363146772291207730635649044629623903269519138795961182774649185074082352960472585089161283952029167610443973367430270088801 (209 digits)
Wed Mar  1 20:42:36 2023  searching for 15-digit factors
Wed Mar  1 20:42:37 2023  commencing number field sieve (209-digit input)
Wed Mar  1 20:42:37 2023  R0: -10000000000000000000000000000000000000000
Wed Mar  1 20:42:37 2023  R1: 1
Wed Mar  1 20:42:37 2023  A0: -2
Wed Mar  1 20:42:37 2023  A1: 0
Wed Mar  1 20:42:37 2023  A2: 0
Wed Mar  1 20:42:37 2023  A3: -9
Wed Mar  1 20:42:37 2023  A4: 0
Wed Mar  1 20:42:37 2023  A5: 0
Wed Mar  1 20:42:37 2023  A6: 20
Wed Mar  1 20:42:37 2023  skew 1.00, size 8.649e-12, alpha 0.140, combined = 5.680e-13 rroots = 2
Wed Mar  1 20:42:37 2023  
Wed Mar  1 20:42:37 2023  commencing relation filtering
Wed Mar  1 20:42:37 2023  setting target matrix density to 130.0
Wed Mar  1 20:42:37 2023  estimated available RAM is 15536.6 MB
Wed Mar  1 20:42:37 2023  commencing duplicate removal, pass 1
Wed Mar  1 20:43:27 2023  error -1 reading relation 11206576
Wed Mar  1 20:44:11 2023  error -15 reading relation 22646952
Wed Mar  1 20:44:35 2023  error -15 reading relation 28913533
Wed Mar  1 20:44:35 2023  error -15 reading relation 28921918
Wed Mar  1 20:44:38 2023  error -9 reading relation 29686372
Wed Mar  1 20:45:33 2023  error -5 reading relation 43896394
Wed Mar  1 20:45:41 2023  error -5 reading relation 46002650
Wed Mar  1 20:46:03 2023  error -5 reading relation 51607073
Wed Mar  1 20:46:54 2023  error -9 reading relation 64858376
Wed Mar  1 20:47:06 2023  error -1 reading relation 67899405
Wed Mar  1 20:47:17 2023  error -15 reading relation 70783957
Wed Mar  1 20:47:18 2023  error -9 reading relation 70997889
Wed Mar  1 20:47:25 2023  error -15 reading relation 72747024
Wed Mar  1 20:47:39 2023  error -9 reading relation 76607111
Wed Mar  1 20:48:01 2023  error -9 reading relation 82180188
Wed Mar  1 20:49:25 2023  error -9 reading relation 103854242
Wed Mar  1 20:50:09 2023  error -1 reading relation 115219129
Wed Mar  1 20:50:18 2023  error -9 reading relation 117631909
Wed Mar  1 20:50:18 2023  error -9 reading relation 117636728
Wed Mar  1 20:50:22 2023  error -9 reading relation 118734572
Wed Mar  1 20:50:28 2023  error -9 reading relation 120149569
Wed Mar  1 20:50:47 2023  error -9 reading relation 125003946
Wed Mar  1 20:50:47 2023  error -9 reading relation 125018063
Wed Mar  1 20:50:55 2023  error -1 reading relation 127276801
Wed Mar  1 20:51:03 2023  error -5 reading relation 129152560
Wed Mar  1 20:52:10 2023  error -1 reading relation 146569300
Wed Mar  1 20:52:10 2023  error -9 reading relation 146777223
Wed Mar  1 20:52:13 2023  error -9 reading relation 147539274
Wed Mar  1 20:52:17 2023  error -9 reading relation 148480153
Wed Mar  1 20:52:17 2023  error -1 reading relation 148482728
Wed Mar  1 20:52:23 2023  error -15 reading relation 150068213
Wed Mar  1 20:52:29 2023  error -1 reading relation 151581423
Wed Mar  1 20:52:44 2023  error -15 reading relation 155418353
Wed Mar  1 20:52:45 2023  error -9 reading relation 155888496
Wed Mar  1 20:52:47 2023  error -1 reading relation 156170271
Wed Mar  1 20:52:56 2023  error -5 reading relation 158600714
Wed Mar  1 20:52:58 2023  error -1 reading relation 159151160
Wed Mar  1 20:53:02 2023  error -9 reading relation 160058083
Wed Mar  1 20:53:16 2023  error -15 reading relation 163679857
Wed Mar  1 20:53:16 2023  error -9 reading relation 163714552
Wed Mar  1 20:53:16 2023  error -5 reading relation 163840111
Wed Mar  1 20:53:29 2023  error -9 reading relation 167031570
Wed Mar  1 20:53:33 2023  error -1 reading relation 168248495
Wed Mar  1 20:53:40 2023  error -15 reading relation 169895188
Wed Mar  1 20:53:50 2023  error -9 reading relation 172462571
Wed Mar  1 20:53:50 2023  error -9 reading relation 172467485
Wed Mar  1 20:53:51 2023  error -9 reading relation 172697291
Wed Mar  1 20:53:51 2023  error -1 reading relation 172708937
Wed Mar  1 20:53:53 2023  error -15 reading relation 173413996
Wed Mar  1 20:53:55 2023  error -9 reading relation 173796755
Wed Mar  1 20:53:55 2023  error -9 reading relation 173880906
Wed Mar  1 20:54:04 2023  error -9 reading relation 176227249
Wed Mar  1 20:54:10 2023  error -9 reading relation 177641432
Wed Mar  1 20:54:13 2023  error -15 reading relation 178379473
Wed Mar  1 20:54:17 2023  error -15 reading relation 179520353
Wed Mar  1 20:54:35 2023  error -1 reading relation 184103550
Wed Mar  1 20:54:35 2023  error -5 reading relation 184103590
Wed Mar  1 20:54:35 2023  error -5 reading relation 184103630
Wed Mar  1 20:54:35 2023  error -9 reading relation 184129327
Wed Mar  1 20:54:35 2023  error -5 reading relation 184179111
Wed Mar  1 20:54:49 2023  error -9 reading relation 187733294
Wed Mar  1 20:55:12 2023  error -15 reading relation 193869090
Wed Mar  1 20:55:24 2023  error -1 reading relation 197032207
Wed Mar  1 20:55:36 2023  error -5 reading relation 200035037
Wed Mar  1 20:55:40 2023  error -15 reading relation 201008731
Wed Mar  1 20:55:41 2023  error -9 reading relation 201239486
Wed Mar  1 20:55:46 2023  error -9 reading relation 202572566
Wed Mar  1 20:55:51 2023  error -9 reading relation 203821126
Wed Mar  1 20:55:59 2023  skipped 73 relations with b > 2^32
Wed Mar  1 20:55:59 2023  skipped 56 relations with composite factors
Wed Mar  1 20:55:59 2023  found 45418548 hash collisions in 205817045 relations
Wed Mar  1 20:56:19 2023  commencing duplicate removal, pass 2
Wed Mar  1 21:02:17 2023  found 49134305 duplicates and 156682740 unique relations
Wed Mar  1 21:02:17 2023  memory use: 1321.5 MB
Wed Mar  1 21:02:17 2023  reading ideals above 119996416
Wed Mar  1 21:02:17 2023  commencing singleton removal, initial pass
Wed Mar  1 21:13:23 2023  memory use: 3012.0 MB
Wed Mar  1 21:13:24 2023  reading all ideals from disk
Wed Mar  1 21:13:42 2023  memory use: 3898.7 MB
Wed Mar  1 21:13:54 2023  commencing in-memory singleton removal
Wed Mar  1 21:13:59 2023  begin with 156682740 relations and 120327932 unique ideals
Wed Mar  1 21:14:15 2023  reduce to 112265113 relations and 72377425 ideals in 11 passes
Wed Mar  1 21:14:15 2023  max relations containing the same ideal: 45
Wed Mar  1 21:14:19 2023  reading ideals above 720000
Wed Mar  1 21:14:19 2023  commencing singleton removal, initial pass
Wed Mar  1 21:25:30 2023  memory use: 2756.0 MB
Wed Mar  1 21:25:30 2023  reading all ideals from disk
Wed Mar  1 21:25:32 2023  memory use: 5209.4 MB
Wed Mar  1 21:25:49 2023  keeping 85496459 ideals with weight <= 200, target excess is 564931
Wed Mar  1 21:26:11 2023  commencing in-memory singleton removal
Wed Mar  1 21:26:21 2023  begin with 112265113 relations and 85496459 unique ideals
Wed Mar  1 21:26:32 2023  reduce to 112264906 relations and 85496252 ideals in 5 passes
Wed Mar  1 21:26:32 2023  max relations containing the same ideal: 200
Wed Mar  1 21:27:18 2023  removing 8629899 relations and 6629899 ideals in 2000000 cliques
Wed Mar  1 21:27:24 2023  commencing in-memory singleton removal
Wed Mar  1 21:27:33 2023  begin with 103635007 relations and 85496252 unique ideals
Wed Mar  1 21:27:47 2023  reduce to 103110639 relations and 78330152 ideals in 7 passes
Wed Mar  1 21:27:47 2023  max relations containing the same ideal: 197
Wed Mar  1 21:28:26 2023  removing 6803676 relations and 4803676 ideals in 2000000 cliques
Wed Mar  1 21:28:32 2023  commencing in-memory singleton removal
Wed Mar  1 21:28:42 2023  begin with 96306963 relations and 78330152 unique ideals
Wed Mar  1 21:28:55 2023  reduce to 95943119 relations and 73155434 ideals in 7 passes
Wed Mar  1 21:28:55 2023  max relations containing the same ideal: 191
Wed Mar  1 21:29:34 2023  removing 6307841 relations and 4307841 ideals in 2000000 cliques
Wed Mar  1 21:29:39 2023  commencing in-memory singleton removal
Wed Mar  1 21:29:47 2023  begin with 89635278 relations and 73155434 unique ideals
Wed Mar  1 21:30:02 2023  reduce to 89312437 relations and 68518382 ideals in 7 passes
Wed Mar  1 21:30:02 2023  max relations containing the same ideal: 182
Wed Mar  1 21:30:35 2023  removing 6062656 relations and 4062656 ideals in 2000000 cliques
Wed Mar  1 21:30:41 2023  commencing in-memory singleton removal
Wed Mar  1 21:30:48 2023  begin with 83249781 relations and 68518382 unique ideals
Wed Mar  1 21:31:02 2023  reduce to 82942892 relations and 64142342 ideals in 7 passes
Wed Mar  1 21:31:02 2023  max relations containing the same ideal: 176
Wed Mar  1 21:31:32 2023  removing 5912757 relations and 3912757 ideals in 2000000 cliques
Wed Mar  1 21:31:37 2023  commencing in-memory singleton removal
Wed Mar  1 21:31:44 2023  begin with 77030135 relations and 64142342 unique ideals
Wed Mar  1 21:31:54 2023  reduce to 76727375 relations and 59920265 ideals in 7 passes
Wed Mar  1 21:31:54 2023  max relations containing the same ideal: 168
Wed Mar  1 21:32:22 2023  removing 5819133 relations and 3819133 ideals in 2000000 cliques
Wed Mar  1 21:32:27 2023  commencing in-memory singleton removal
Wed Mar  1 21:32:33 2023  begin with 70908242 relations and 59920265 unique ideals
Wed Mar  1 21:32:45 2023  reduce to 70598619 relations and 55784478 ideals in 8 passes
Wed Mar  1 21:32:45 2023  max relations containing the same ideal: 157
Wed Mar  1 21:33:09 2023  removing 5757979 relations and 3757979 ideals in 2000000 cliques
Wed Mar  1 21:33:14 2023  commencing in-memory singleton removal
Wed Mar  1 21:33:20 2023  begin with 64840640 relations and 55784478 unique ideals
Wed Mar  1 21:33:30 2023  reduce to 64520216 relations and 51698098 ideals in 6 passes
Wed Mar  1 21:33:30 2023  max relations containing the same ideal: 148
Wed Mar  1 21:33:55 2023  removing 5725752 relations and 3725752 ideals in 2000000 cliques
Wed Mar  1 21:33:59 2023  commencing in-memory singleton removal
Wed Mar  1 21:34:04 2023  begin with 58794464 relations and 51698098 unique ideals
Wed Mar  1 21:34:12 2023  reduce to 58453771 relations and 47622385 ideals in 6 passes
Wed Mar  1 21:34:12 2023  max relations containing the same ideal: 143
Wed Mar  1 21:34:35 2023  removing 5709923 relations and 3709923 ideals in 2000000 cliques
Wed Mar  1 21:34:39 2023  commencing in-memory singleton removal
Wed Mar  1 21:34:44 2023  begin with 52743848 relations and 47622385 unique ideals
Wed Mar  1 21:34:52 2023  reduce to 52373250 relations and 43530959 ideals in 7 passes
Wed Mar  1 21:34:52 2023  max relations containing the same ideal: 136
Wed Mar  1 21:35:12 2023  removing 5717618 relations and 3717618 ideals in 2000000 cliques
Wed Mar  1 21:35:16 2023  commencing in-memory singleton removal
Wed Mar  1 21:35:20 2023  begin with 46655632 relations and 43530959 unique ideals
Wed Mar  1 21:35:30 2023  reduce to 46248081 relations and 39392373 ideals in 7 passes
Wed Mar  1 21:35:30 2023  max relations containing the same ideal: 124
Wed Mar  1 21:35:46 2023  removing 5742624 relations and 3742624 ideals in 2000000 cliques
Wed Mar  1 21:35:48 2023  commencing in-memory singleton removal
Wed Mar  1 21:35:51 2023  begin with 40505457 relations and 39392373 unique ideals
Wed Mar  1 21:35:59 2023  reduce to 40041006 relations and 35168629 ideals in 6 passes
Wed Mar  1 21:35:59 2023  max relations containing the same ideal: 110
Wed Mar  1 21:36:16 2023  removing 5785663 relations and 3785663 ideals in 2000000 cliques
Wed Mar  1 21:36:19 2023  commencing in-memory singleton removal
Wed Mar  1 21:36:23 2023  begin with 34255343 relations and 35168629 unique ideals
Wed Mar  1 21:36:30 2023  reduce to 33707714 relations and 30812196 ideals in 7 passes
Wed Mar  1 21:36:30 2023  max relations containing the same ideal: 96
Wed Mar  1 21:36:43 2023  removing 5854808 relations and 3854808 ideals in 2000000 cliques
Wed Mar  1 21:36:46 2023  commencing in-memory singleton removal
Wed Mar  1 21:36:48 2023  begin with 27852906 relations and 30812196 unique ideals
Wed Mar  1 21:36:55 2023  reduce to 27169307 relations and 26239417 ideals in 8 passes
Wed Mar  1 21:36:55 2023  max relations containing the same ideal: 86
Wed Mar  1 21:37:07 2023  removing 1188239 relations and 913669 ideals in 274570 cliques
Wed Mar  1 21:37:08 2023  commencing in-memory singleton removal
Wed Mar  1 21:37:10 2023  begin with 25981068 relations and 26239417 unique ideals
Wed Mar  1 21:37:14 2023  reduce to 25939136 relations and 25283402 ideals in 6 passes
Wed Mar  1 21:37:14 2023  max relations containing the same ideal: 83
Wed Mar  1 21:37:30 2023  relations with 0 large ideals: 7134
Wed Mar  1 21:37:30 2023  relations with 1 large ideals: 7258
Wed Mar  1 21:37:30 2023  relations with 2 large ideals: 113209
Wed Mar  1 21:37:30 2023  relations with 3 large ideals: 742348
Wed Mar  1 21:37:30 2023  relations with 4 large ideals: 2599899
Wed Mar  1 21:37:30 2023  relations with 5 large ideals: 5416282
Wed Mar  1 21:37:30 2023  relations with 6 large ideals: 7037281
Wed Mar  1 21:37:30 2023  relations with 7+ large ideals: 10015725
Wed Mar  1 21:37:30 2023  commencing 2-way merge
Wed Mar  1 21:37:51 2023  reduce to 17531065 relation sets and 16875331 unique ideals
Wed Mar  1 21:37:51 2023  commencing full merge
Wed Mar  1 21:47:57 2023  memory use: 2199.2 MB
Wed Mar  1 21:47:59 2023  found 7648348 cycles, need 7643531
Wed Mar  1 21:48:04 2023  weight of 7643531 cycles is about 994266790 (130.08/cycle)
Wed Mar  1 21:48:04 2023  distribution of cycle lengths:
Wed Mar  1 21:48:04 2023  1 relations: 198994
Wed Mar  1 21:48:04 2023  2 relations: 376012
Wed Mar  1 21:48:04 2023  3 relations: 470349
Wed Mar  1 21:48:04 2023  4 relations: 507571
Wed Mar  1 21:48:04 2023  5 relations: 540078
Wed Mar  1 21:48:04 2023  6 relations: 547399
Wed Mar  1 21:48:04 2023  7 relations: 545469
Wed Mar  1 21:48:04 2023  8 relations: 531295
Wed Mar  1 21:48:04 2023  9 relations: 504929
Wed Mar  1 21:48:04 2023  10+ relations: 3421435
Wed Mar  1 21:48:04 2023  heaviest cycle: 28 relations
Wed Mar  1 21:48:06 2023  commencing cycle optimization
Wed Mar  1 21:48:34 2023  start with 73612667 relations
Wed Mar  1 21:53:10 2023  pruned 4009023 relations
Wed Mar  1 21:53:10 2023  memory use: 1835.7 MB
Wed Mar  1 21:53:10 2023  distribution of cycle lengths:
Wed Mar  1 21:53:10 2023  1 relations: 198994
Wed Mar  1 21:53:10 2023  2 relations: 387067
Wed Mar  1 21:53:10 2023  3 relations: 492816
Wed Mar  1 21:53:10 2023  4 relations: 532593
Wed Mar  1 21:53:10 2023  5 relations: 572155
Wed Mar  1 21:53:10 2023  6 relations: 579997
Wed Mar  1 21:53:10 2023  7 relations: 581292
Wed Mar  1 21:53:10 2023  8 relations: 564029
Wed Mar  1 21:53:10 2023  9 relations: 535158
Wed Mar  1 21:53:10 2023  10+ relations: 3199430
Wed Mar  1 21:53:10 2023  heaviest cycle: 28 relations
Wed Mar  1 21:53:28 2023  RelProcTime: 4251
Wed Mar  1 21:53:28 2023  
Wed Mar  1 21:53:28 2023  commencing linear algebra
Wed Mar  1 21:53:28 2023  using VBITS=256
Wed Mar  1 21:53:30 2023  read 7643531 cycles
Wed Mar  1 21:54:00 2023  cycles contain 25631289 unique relations
Wed Mar  1 22:00:12 2023  read 25631289 relations
Wed Mar  1 22:00:23 2023  using 20 quadratic characters above 4294917295
Wed Mar  1 22:00:44 2023  building initial matrix
Wed Mar  1 22:10:51 2023  memory use: 3363.8 MB
Wed Mar  1 22:11:02 2023  read 7643531 cycles
Wed Mar  1 22:11:04 2023  matrix is 7643354 x 7643531 (3814.0 MB) with weight 1104563725 (144.51/col)
Wed Mar  1 22:11:04 2023  sparse part has weight 915726114 (119.80/col)
Wed Mar  1 22:13:36 2023  filtering completed in 2 passes
Wed Mar  1 22:13:38 2023  matrix is 7643333 x 7643510 (3814.0 MB) with weight 1104563021 (144.51/col)
Wed Mar  1 22:13:38 2023  sparse part has weight 915725936 (119.80/col)
Wed Mar  1 22:14:54 2023  matrix starts at (0, 0)
Wed Mar  1 22:14:55 2023  matrix is 7643333 x 7643510 (3814.0 MB) with weight 1104563021 (144.51/col)
Wed Mar  1 22:14:55 2023  sparse part has weight 915725936 (119.80/col)
Wed Mar  1 22:14:55 2023  saving the first 240 matrix rows for later
Wed Mar  1 22:14:58 2023  matrix includes 256 packed rows
Wed Mar  1 22:15:02 2023  matrix is 7643093 x 7643510 (3483.4 MB) with weight 834542831 (109.18/col)
Wed Mar  1 22:15:02 2023  sparse part has weight 790846119 (103.47/col)
Wed Mar  1 22:15:02 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Wed Mar  1 22:15:27 2023  commencing Lanczos iteration (8 threads)
Wed Mar  1 22:15:27 2023  memory use: 4685.4 MB
Wed Mar  1 22:23:38 2023  linear algebra at 0.4%, ETA 33h19m
Wed Mar  1 22:35:46 2023  checking every 10000 dimensions, checkpointing every 230000 dimensions
Thu Mar  2 23:40:21 2023  lanczos halted after 29947 iterations (dim = 7643090)
Thu Mar  2 23:41:06 2023  recovered 34 nontrivial dependencies
Thu Mar  2 23:41:07 2023  BLanczosTime: 92859
Thu Mar  2 23:41:07 2023  
Thu Mar  2 23:41:07 2023  commencing square root phase
Thu Mar  2 23:41:07 2023  handling dependencies 1 to 64
Thu Mar  2 23:41:07 2023  reading relations for dependency 1
Thu Mar  2 23:41:09 2023  read 3823988 cycles
Thu Mar  2 23:41:23 2023  cycles contain 12818592 unique relations
Thu Mar  2 23:46:26 2023  read 12818592 relations
Thu Mar  2 23:47:50 2023  multiplying 12818592 relations
Thu Mar  2 23:56:33 2023  multiply complete, coefficients have about 370.70 million bits
Thu Mar  2 23:56:35 2023  initial square root is modulo 4482767
Fri Mar  3 00:02:40 2023  found factor: 38911666741137677873418647849416526229519309623121357745219529458561155628318637
Fri Mar  3 00:02:40 2023  reading relations for dependency 2
Fri Mar  3 00:02:43 2023  read 3823008 cycles
Fri Mar  3 00:02:55 2023  cycles contain 12821856 unique relations
Fri Mar  3 00:07:36 2023  read 12821856 relations
Fri Mar  3 00:09:03 2023  multiplying 12821856 relations
Fri Mar  3 00:17:54 2023  multiply complete, coefficients have about 370.79 million bits
Fri Mar  3 00:17:56 2023  initial square root is modulo 4499273
Fri Mar  3 00:24:02 2023  found factor: 38911666741137677873418647849416526229519309623121357745219529458561155628318637
Fri Mar  3 00:24:02 2023  reading relations for dependency 3
Fri Mar  3 00:24:04 2023  read 3820335 cycles
Fri Mar  3 00:24:17 2023  cycles contain 12811188 unique relations
Fri Mar  3 00:29:03 2023  read 12811188 relations
Fri Mar  3 00:30:26 2023  multiplying 12811188 relations
Fri Mar  3 00:39:11 2023  multiply complete, coefficients have about 370.48 million bits
Fri Mar  3 00:39:13 2023  initial square root is modulo 4442003
Fri Mar  3 00:45:17 2023  GCD is 1, no factor found
Fri Mar  3 00:45:17 2023  reading relations for dependency 4
Fri Mar  3 00:45:19 2023  read 3826061 cycles
Fri Mar  3 00:45:32 2023  cycles contain 12822622 unique relations
Fri Mar  3 00:50:20 2023  read 12822622 relations
Fri Mar  3 00:51:44 2023  multiplying 12822622 relations
Fri Mar  3 01:00:35 2023  multiply complete, coefficients have about 370.81 million bits
Fri Mar  3 01:00:36 2023  initial square root is modulo 4502857
Fri Mar  3 01:06:42 2023  found factor: 38911666741137677873418647849416526229519309623121357745219529458561155628318637
Fri Mar  3 01:06:42 2023  reading relations for dependency 5
Fri Mar  3 01:06:44 2023  read 3819296 cycles
Fri Mar  3 01:06:57 2023  cycles contain 12807652 unique relations
Fri Mar  3 01:11:55 2023  read 12807652 relations
Fri Mar  3 01:13:18 2023  multiplying 12807652 relations
Fri Mar  3 01:22:07 2023  multiply complete, coefficients have about 370.39 million bits
Fri Mar  3 01:22:09 2023  initial square root is modulo 4425293
Fri Mar  3 01:28:12 2023  sqrtTime: 6425
Fri Mar  3 01:28:12 2023  p60 factor: 190331483626714496747021794034032635799310205075666421908619
Fri Mar  3 01:28:12 2023  p70 factor: 7773462327065950757661832795070339965892388401077262258998801032091567
Fri Mar  3 01:28:12 2023  p80 factor: 38911666741137677873418647849416526229519309623121357745219529458561155628318637
Fri Mar  3 01:28:12 2023  elapsed time 28:45:37

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:54:10 UTC 2022 年 7 月 29 日 (金) 19 時 54 分 10 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:08:38 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 38 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:41 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 41 秒 (日本時間)
5043e63584 / 37821792Dmitry DomanovNovember 13, 2022 00:26:53 UTC 2022 年 11 月 13 日 (日) 9 時 26 分 53 秒 (日本時間)
1792Dmitry DomanovDecember 22, 2022 06:44:06 UTC 2022 年 12 月 22 日 (木) 15 時 44 分 6 秒 (日本時間)
5511e71200 / 16251Dmitry DomanovFebruary 15, 2023 07:44:44 UTC 2023 年 2 月 15 日 (水) 16 時 44 分 44 秒 (日本時間)

2×10243-9×10121-29

c204

name 名前Dmitry Domanov
date 日付August 21, 2022 18:02:06 UTC 2022 年 8 月 22 日 (月) 3 時 2 分 6 秒 (日本時間)
composite number 合成数
818210560473026075184015016599316425606664943613378718004754475640507286858261933036793854155953669440389581347675409691662707658331127759314517539773791830107433280753874888245453257507742960191136426253<204>
prime factors 素因数
41314114772212864002963568490042930459<38>
composite cofactor 合成数の残り
19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567<167>
factorization results 素因数分解の結果
Resuming ECM residue saved by @99a95a4cac45 with GMP-ECM 7.0.5-dev on Thu Aug 18 15:44:56 2022 
Input number is 818210560473026075184015016599316425606664943613378718004754475640507286858261933036793854155953669440389581347675409691662707658331127759314517539773791830107433280753874888245453257507742960191136426253 (204 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:393052178
Step 1 took 0ms
Step 2 took 11530ms
********** Factor found in step 2: 41314114772212864002963568490042930459
Found prime factor of 38 digits: 41314114772212864002963568490042930459
Composite cofactor 19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567 has 167 digits

c167

name 名前NFS@home + Dmitry Domanov
date 日付January 16, 2023 15:09:51 UTC 2023 年 1 月 17 日 (火) 0 時 9 分 51 秒 (日本時間)
composite number 合成数
19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567<167>
prime factors 素因数
3321727852432493573134565242946466301748671014642172604626940206633<67>
5962145644304952324304841371034526365041968430179558701392853443801361329891427025206959426251386399<100>
factorization results 素因数分解の結果
Sun Jan 15 19:49:19 2023  
Sun Jan 15 19:49:19 2023  
Sun Jan 15 19:49:19 2023  Msieve v. 1.54 (SVN unknown)
Sun Jan 15 19:49:19 2023  random seeds: f2008d75 dcc1f0fe
Sun Jan 15 19:49:19 2023  factoring 19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567 (167 digits)
Sun Jan 15 19:49:20 2023  searching for 15-digit factors
Sun Jan 15 19:49:20 2023  commencing number field sieve (167-digit input)
Sun Jan 15 19:49:20 2023  R0: -186738590678116437254254020774727
Sun Jan 15 19:49:20 2023  R1: 384853402551159433
Sun Jan 15 19:49:20 2023  A0: -9507577109100001290436338959104345442112
Sun Jan 15 19:49:20 2023  A1: 28142635830218282722333965218274408
Sun Jan 15 19:49:20 2023  A2: -4016980929090756223623415014
Sun Jan 15 19:49:20 2023  A3: -974415681334082797541
Sun Jan 15 19:49:20 2023  A4: 7790511826408
Sun Jan 15 19:49:20 2023  A5: 87216
Sun Jan 15 19:49:20 2023  skew 20583385.96, size 3.249e-16, alpha -8.201, combined = 5.662e-13 rroots = 5
Sun Jan 15 19:49:20 2023  
Sun Jan 15 19:49:20 2023  commencing relation filtering
Sun Jan 15 19:49:20 2023  setting target matrix density to 130.0
Sun Jan 15 19:49:20 2023  estimated available RAM is 15536.6 MB
Sun Jan 15 19:49:20 2023  commencing duplicate removal, pass 1
Sun Jan 15 19:50:28 2023  error -9 reading relation 17208488
Sun Jan 15 19:50:35 2023  error -15 reading relation 19127209
Sun Jan 15 19:50:37 2023  error -15 reading relation 19465977
Sun Jan 15 19:51:06 2023  error -1 reading relation 26914221
Sun Jan 15 19:52:54 2023  error -15 reading relation 54454063
Sun Jan 15 19:54:03 2023  error -1 reading relation 71756469
Sun Jan 15 19:54:03 2023  error -15 reading relation 71870976
Sun Jan 15 19:54:04 2023  error -9 reading relation 72054429
Sun Jan 15 19:54:13 2023  error -5 reading relation 74333713
Sun Jan 15 19:54:19 2023  error -9 reading relation 75885440
Sun Jan 15 19:54:44 2023  error -9 reading relation 82348680
Sun Jan 15 19:54:45 2023  error -9 reading relation 82491660
Sun Jan 15 19:54:51 2023  error -15 reading relation 83909209
Sun Jan 15 19:54:53 2023  error -5 reading relation 84416480
Sun Jan 15 19:55:05 2023  error -15 reading relation 87436846
Sun Jan 15 19:55:05 2023  error -1 reading relation 87676923
Sun Jan 15 19:55:06 2023  error -15 reading relation 87882503
Sun Jan 15 19:55:14 2023  error -15 reading relation 89811591
Sun Jan 15 19:55:14 2023  error -9 reading relation 89815049
Sun Jan 15 19:55:18 2023  error -15 reading relation 90907883
Sun Jan 15 19:55:20 2023  error -9 reading relation 91243432
Sun Jan 15 19:55:25 2023  error -1 reading relation 92565278
Sun Jan 15 19:55:45 2023  error -15 reading relation 97730759
Sun Jan 15 19:55:46 2023  error -5 reading relation 97919466
Sun Jan 15 19:55:46 2023  error -15 reading relation 97921755
Sun Jan 15 19:55:48 2023  error -15 reading relation 98553562
Sun Jan 15 19:55:48 2023  error -9 reading relation 98560889
Sun Jan 15 19:55:57 2023  error -9 reading relation 100650518
Sun Jan 15 19:55:58 2023  error -9 reading relation 100938294
Sun Jan 15 19:56:00 2023  error -15 reading relation 101362745
Sun Jan 15 19:56:05 2023  error -9 reading relation 102640123
Sun Jan 15 19:56:08 2023  error -15 reading relation 103467416
Sun Jan 15 19:56:15 2023  error -9 reading relation 105306736
Sun Jan 15 19:56:15 2023  error -1 reading relation 105324145
Sun Jan 15 19:56:20 2023  error -15 reading relation 106532278
Sun Jan 15 19:56:21 2023  error -15 reading relation 106683646
Sun Jan 15 19:56:23 2023  error -1 reading relation 107328337
Sun Jan 15 19:56:26 2023  error -1 reading relation 107934522
Sun Jan 15 19:56:58 2023  error -15 reading relation 116078158
Sun Jan 15 19:58:00 2023  error -15 reading relation 131531094
Sun Jan 15 19:58:28 2023  skipped 19 relations with composite factors
Sun Jan 15 19:58:28 2023  found 34869063 hash collisions in 138768751 relations
Sun Jan 15 19:59:04 2023  added 121971 free relations
Sun Jan 15 19:59:04 2023  commencing duplicate removal, pass 2
Sun Jan 15 20:02:15 2023  found 37865176 duplicates and 101025546 unique relations
Sun Jan 15 20:02:15 2023  memory use: 724.8 MB
Sun Jan 15 20:02:15 2023  reading ideals above 108068864
Sun Jan 15 20:02:15 2023  commencing singleton removal, initial pass
Sun Jan 15 20:09:16 2023  memory use: 1506.0 MB
Sun Jan 15 20:09:17 2023  reading all ideals from disk
Sun Jan 15 20:09:18 2023  memory use: 2465.9 MB
Sun Jan 15 20:09:23 2023  commencing in-memory singleton removal
Sun Jan 15 20:09:27 2023  begin with 101025546 relations and 79613115 unique ideals
Sun Jan 15 20:09:42 2023  reduce to 67786920 relations and 43202508 ideals in 13 passes
Sun Jan 15 20:09:42 2023  max relations containing the same ideal: 33
Sun Jan 15 20:09:44 2023  reading ideals above 720000
Sun Jan 15 20:09:45 2023  commencing singleton removal, initial pass
Sun Jan 15 20:16:09 2023  memory use: 1506.0 MB
Sun Jan 15 20:16:09 2023  reading all ideals from disk
Sun Jan 15 20:16:11 2023  memory use: 3085.9 MB
Sun Jan 15 20:16:19 2023  keeping 55224721 ideals with weight <= 200, target excess is 366147
Sun Jan 15 20:16:28 2023  commencing in-memory singleton removal
Sun Jan 15 20:16:33 2023  begin with 67786920 relations and 55224721 unique ideals
Sun Jan 15 20:16:47 2023  reduce to 67710141 relations and 55147923 ideals in 9 passes
Sun Jan 15 20:16:47 2023  max relations containing the same ideal: 200
Sun Jan 15 20:17:19 2023  removing 8762983 relations and 6762983 ideals in 2000000 cliques
Sun Jan 15 20:17:23 2023  commencing in-memory singleton removal
Sun Jan 15 20:17:27 2023  begin with 58947158 relations and 55147923 unique ideals
Sun Jan 15 20:17:39 2023  reduce to 58103391 relations and 47511434 ideals in 8 passes
Sun Jan 15 20:17:39 2023  max relations containing the same ideal: 190
Sun Jan 15 20:18:07 2023  removing 6910211 relations and 4910211 ideals in 2000000 cliques
Sun Jan 15 20:18:10 2023  commencing in-memory singleton removal
Sun Jan 15 20:18:16 2023  begin with 51193180 relations and 47511434 unique ideals
Sun Jan 15 20:18:28 2023  reduce to 50593879 relations and 41982098 ideals in 8 passes
Sun Jan 15 20:18:28 2023  max relations containing the same ideal: 175
Sun Jan 15 20:18:53 2023  removing 6395803 relations and 4395803 ideals in 2000000 cliques
Sun Jan 15 20:18:56 2023  commencing in-memory singleton removal
Sun Jan 15 20:18:59 2023  begin with 44198076 relations and 41982098 unique ideals
Sun Jan 15 20:19:07 2023  reduce to 43643680 relations and 37012351 ideals in 8 passes
Sun Jan 15 20:19:07 2023  max relations containing the same ideal: 160
Sun Jan 15 20:19:28 2023  removing 6138683 relations and 4138683 ideals in 2000000 cliques
Sun Jan 15 20:19:31 2023  commencing in-memory singleton removal
Sun Jan 15 20:19:33 2023  begin with 37504997 relations and 37012351 unique ideals
Sun Jan 15 20:19:39 2023  reduce to 36944075 relations and 32290800 ideals in 7 passes
Sun Jan 15 20:19:39 2023  max relations containing the same ideal: 140
Sun Jan 15 20:19:57 2023  removing 5983864 relations and 3983864 ideals in 2000000 cliques
Sun Jan 15 20:19:59 2023  commencing in-memory singleton removal
Sun Jan 15 20:20:01 2023  begin with 30960211 relations and 32290800 unique ideals
Sun Jan 15 20:20:06 2023  reduce to 30347591 relations and 27665997 ideals in 7 passes
Sun Jan 15 20:20:06 2023  max relations containing the same ideal: 128
Sun Jan 15 20:20:21 2023  removing 5894446 relations and 3894446 ideals in 2000000 cliques
Sun Jan 15 20:20:24 2023  commencing in-memory singleton removal
Sun Jan 15 20:20:26 2023  begin with 24453145 relations and 27665997 unique ideals
Sun Jan 15 20:20:32 2023  reduce to 23713000 relations and 22989969 ideals in 8 passes
Sun Jan 15 20:20:32 2023  max relations containing the same ideal: 109
Sun Jan 15 20:20:43 2023  removing 1298846 relations and 1000546 ideals in 298300 cliques
Sun Jan 15 20:20:45 2023  commencing in-memory singleton removal
Sun Jan 15 20:20:46 2023  begin with 22414154 relations and 22989969 unique ideals
Sun Jan 15 20:20:49 2023  reduce to 22364024 relations and 21938684 ideals in 6 passes
Sun Jan 15 20:20:49 2023  max relations containing the same ideal: 103
Sun Jan 15 20:21:05 2023  relations with 0 large ideals: 1170
Sun Jan 15 20:21:05 2023  relations with 1 large ideals: 3675
Sun Jan 15 20:21:05 2023  relations with 2 large ideals: 58200
Sun Jan 15 20:21:05 2023  relations with 3 large ideals: 425411
Sun Jan 15 20:21:05 2023  relations with 4 large ideals: 1677192
Sun Jan 15 20:21:05 2023  relations with 5 large ideals: 3965911
Sun Jan 15 20:21:05 2023  relations with 6 large ideals: 5918840
Sun Jan 15 20:21:05 2023  relations with 7+ large ideals: 10313625
Sun Jan 15 20:21:05 2023  commencing 2-way merge
Sun Jan 15 20:21:19 2023  reduce to 15176478 relation sets and 14751138 unique ideals
Sun Jan 15 20:21:19 2023  commencing full merge
Sun Jan 15 20:27:18 2023  memory use: 1821.5 MB
Sun Jan 15 20:27:20 2023  found 6609290 cycles, need 6599338
Sun Jan 15 20:27:23 2023  weight of 6599338 cycles is about 858113972 (130.03/cycle)
Sun Jan 15 20:27:23 2023  distribution of cycle lengths:
Sun Jan 15 20:27:23 2023  1 relations: 183504
Sun Jan 15 20:27:23 2023  2 relations: 331308
Sun Jan 15 20:27:23 2023  3 relations: 421244
Sun Jan 15 20:27:23 2023  4 relations: 457812
Sun Jan 15 20:27:23 2023  5 relations: 492717
Sun Jan 15 20:27:23 2023  6 relations: 496245
Sun Jan 15 20:27:23 2023  7 relations: 490607
Sun Jan 15 20:27:23 2023  8 relations: 474406
Sun Jan 15 20:27:23 2023  9 relations: 447666
Sun Jan 15 20:27:23 2023  10+ relations: 2803829
Sun Jan 15 20:27:23 2023  heaviest cycle: 28 relations
Sun Jan 15 20:27:24 2023  commencing cycle optimization
Sun Jan 15 20:27:42 2023  start with 61256810 relations
Sun Jan 15 20:30:29 2023  pruned 3246322 relations
Sun Jan 15 20:30:29 2023  memory use: 1561.0 MB
Sun Jan 15 20:30:29 2023  distribution of cycle lengths:
Sun Jan 15 20:30:29 2023  1 relations: 183504
Sun Jan 15 20:30:29 2023  2 relations: 341897
Sun Jan 15 20:30:29 2023  3 relations: 442241
Sun Jan 15 20:30:29 2023  4 relations: 481585
Sun Jan 15 20:30:29 2023  5 relations: 522515
Sun Jan 15 20:30:29 2023  6 relations: 525893
Sun Jan 15 20:30:29 2023  7 relations: 521956
Sun Jan 15 20:30:29 2023  8 relations: 502588
Sun Jan 15 20:30:29 2023  9 relations: 472171
Sun Jan 15 20:30:29 2023  10+ relations: 2604988
Sun Jan 15 20:30:29 2023  heaviest cycle: 28 relations
Sun Jan 15 20:30:41 2023  RelProcTime: 2481
Sun Jan 15 20:30:42 2023  elapsed time 00:41:23
Sun Jan 15 20:31:18 2023  
Sun Jan 15 20:31:18 2023  
Sun Jan 15 20:31:18 2023  Msieve v. 1.54 (SVN unknown)
Sun Jan 15 20:31:18 2023  random seeds: 9c31bea0 6b27eeef
Sun Jan 15 20:31:18 2023  factoring 19804625246946834990429661630048619635915965729609087739736660647102303223202845004302406132104964924239170801314356966034465267913677485561828990739704309591785784567 (167 digits)
Sun Jan 15 20:31:19 2023  searching for 15-digit factors
Sun Jan 15 20:31:19 2023  commencing number field sieve (167-digit input)
Sun Jan 15 20:31:19 2023  R0: -186738590678116437254254020774727
Sun Jan 15 20:31:19 2023  R1: 384853402551159433
Sun Jan 15 20:31:19 2023  A0: -9507577109100001290436338959104345442112
Sun Jan 15 20:31:19 2023  A1: 28142635830218282722333965218274408
Sun Jan 15 20:31:19 2023  A2: -4016980929090756223623415014
Sun Jan 15 20:31:19 2023  A3: -974415681334082797541
Sun Jan 15 20:31:19 2023  A4: 7790511826408
Sun Jan 15 20:31:19 2023  A5: 87216
Sun Jan 15 20:31:19 2023  skew 20583385.96, size 3.249e-16, alpha -8.201, combined = 5.662e-13 rroots = 5
Sun Jan 15 20:31:19 2023  
Sun Jan 15 20:31:19 2023  commencing linear algebra
Sun Jan 15 20:31:19 2023  using VBITS=256
Sun Jan 15 20:31:20 2023  read 6599338 cycles
Sun Jan 15 20:31:40 2023  cycles contain 22151437 unique relations
Sun Jan 15 20:34:40 2023  read 22151437 relations
Sun Jan 15 20:34:49 2023  using 20 quadratic characters above 4294917295
Sun Jan 15 20:35:19 2023  building initial matrix
Sun Jan 15 20:43:28 2023  memory use: 3129.9 MB
Sun Jan 15 20:43:54 2023  read 6599338 cycles
Sun Jan 15 20:43:55 2023  matrix is 6599160 x 6599338 (3303.4 MB) with weight 1021765919 (154.83/col)
Sun Jan 15 20:43:55 2023  sparse part has weight 786762551 (119.22/col)
Sun Jan 15 20:45:09 2023  filtering completed in 2 passes
Sun Jan 15 20:45:11 2023  matrix is 6599134 x 6599310 (3303.4 MB) with weight 1021764725 (154.83/col)
Sun Jan 15 20:45:11 2023  sparse part has weight 786762337 (119.22/col)
Sun Jan 15 20:45:47 2023  matrix starts at (0, 0)
Sun Jan 15 20:45:48 2023  matrix is 6599134 x 6599310 (3303.4 MB) with weight 1021764725 (154.83/col)
Sun Jan 15 20:45:48 2023  sparse part has weight 786762337 (119.22/col)
Sun Jan 15 20:45:48 2023  saving the first 240 matrix rows for later
Sun Jan 15 20:45:50 2023  matrix includes 256 packed rows
Sun Jan 15 20:45:52 2023  matrix is 6598894 x 6599310 (2965.6 MB) with weight 719669690 (109.05/col)
Sun Jan 15 20:45:52 2023  sparse part has weight 671813099 (101.80/col)
Sun Jan 15 20:45:52 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Sun Jan 15 20:46:07 2023  commencing Lanczos iteration (8 threads)
Sun Jan 15 20:46:07 2023  memory use: 3985.3 MB
Sun Jan 15 20:51:12 2023  linear algebra at 0.5%, ETA 17h59m
Sun Jan 15 20:58:48 2023  checking every 10000 dimensions, checkpointing every 370000 dimensions
Mon Jan 16 14:48:59 2023  lanczos halted after 25855 iterations (dim = 6598892)
Mon Jan 16 14:49:30 2023  recovered 29 nontrivial dependencies
Mon Jan 16 14:49:30 2023  BLanczosTime: 65891
Mon Jan 16 14:49:30 2023  
Mon Jan 16 14:49:30 2023  commencing square root phase
Mon Jan 16 14:49:30 2023  reading relations for dependency 1
Mon Jan 16 14:49:32 2023  read 3300084 cycles
Mon Jan 16 14:49:39 2023  cycles contain 11073254 unique relations
Mon Jan 16 14:51:53 2023  read 11073254 relations
Mon Jan 16 14:52:46 2023  multiplying 11073254 relations
Mon Jan 16 15:00:24 2023  multiply complete, coefficients have about 610.91 million bits
Mon Jan 16 15:00:27 2023  initial square root is modulo 302579
Mon Jan 16 15:06:33 2023  sqrtTime: 1023
Mon Jan 16 15:06:33 2023  p67 factor: 3321727852432493573134565242946466301748671014642172604626940206633
Mon Jan 16 15:06:33 2023  p100 factor: 5962145644304952324304841371034526365041968430179558701392853443801361329891427025206959426251386399
Mon Jan 16 15:06:33 2023  elapsed time 18:35:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:54:18 UTC 2022 年 7 月 29 日 (金) 19 時 54 分 18 秒 (日本時間)
4511e662721792Dmitry DomanovAugust 17, 2022 07:08:45 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 45 秒 (日本時間)
4480Ignacio SantosAugust 25, 2022 11:11:42 UTC 2022 年 8 月 25 日 (木) 20 時 11 分 42 秒 (日本時間)
5043e660721792Dmitry DomanovNovember 23, 2022 13:12:00 UTC 2022 年 11 月 23 日 (水) 22 時 12 分 0 秒 (日本時間)
2280Dmitry DomanovDecember 9, 2022 10:24:14 UTC 2022 年 12 月 9 日 (金) 19 時 24 分 14 秒 (日本時間)
2000Dmitry DomanovDecember 13, 2022 13:02:24 UTC 2022 年 12 月 13 日 (火) 22 時 2 分 24 秒 (日本時間)
5511e73000 / 151951000Dmitry DomanovDecember 22, 2022 10:28:49 UTC 2022 年 12 月 22 日 (木) 19 時 28 分 49 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2023 11:50:29 UTC 2023 年 1 月 8 日 (日) 20 時 50 分 29 秒 (日本時間)
1000Dmitry DomanovJanuary 9, 2023 17:14:30 UTC 2023 年 1 月 10 日 (火) 2 時 14 分 30 秒 (日本時間)

2×10249-9×10124-29

c234

composite cofactor 合成数の残り
232559886894137537352817423516020970299173610177471416490162761647763555552670305177437081545917845948650732365358797364777286026281183421763937386500206923333722444579724823448778167153408892722612032855227801490836600277189855172649<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:07 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 7 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:14 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 14 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:48 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 48 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:04:08 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 8 秒 (日本時間)
1792Dmitry DomanovDecember 8, 2022 22:33:22 UTC 2022 年 12 月 9 日 (金) 7 時 33 分 22 秒 (日本時間)

2×10251-9×10125-29

c239

composite cofactor 合成数の残り
44783121958434175335525463478295698306898876737376374736511030285506081807580237387713710809185312823427639441655845394293345792006245570151530554140083361959739267323893141166021888052633625994738940669753615726660455350840301463171656093<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:15 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 15 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:22 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 22 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 08:59:56 UTC 2022 年 9 月 9 日 (金) 17 時 59 分 56 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:04:16 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 16 秒 (日本時間)
1792Dmitry DomanovDecember 8, 2022 22:33:31 UTC 2022 年 12 月 9 日 (金) 7 時 33 分 31 秒 (日本時間)

2×10253-9×10126-29

c235

composite cofactor 合成数の残り
9729712104659246727176642185542899517776314148867716490322843739705768072131519021179447286073449870733838674706374109011584076393932131020250246047946104003339217519649879689445346805029697618873881889547273605620012425775041188077913<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:22 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 22 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:30 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 30 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:04 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 4 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:04:23 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 23 秒 (日本時間)
1792Dmitry DomanovDecember 8, 2022 22:33:39 UTC 2022 年 12 月 9 日 (金) 7 時 33 分 39 秒 (日本時間)

2×10255-9×10127-29

c188

composite cofactor 合成数の残り
57536288165318950684217617845537426702999085063062702503690259778254100490658389801862639254131410606983610709103138550145908676650819298772048037966551480507009035347552399735069261473519<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 19, 2022 12:49:12 UTC 2022 年 7 月 19 日 (火) 21 時 49 分 12 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 13, 2022 22:56:10 UTC 2022 年 8 月 14 日 (日) 7 時 56 分 10 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:14:43 UTC 2022 年 9 月 6 日 (火) 1 時 14 分 43 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:35:55 UTC 2022 年 9 月 24 日 (土) 20 時 35 分 55 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 17, 2022 22:18:46 UTC 2022 年 11 月 18 日 (金) 7 時 18 分 46 秒 (日本時間)
2000Dmitry DomanovDecember 23, 2022 00:25:13 UTC 2022 年 12 月 23 日 (金) 9 時 25 分 13 秒 (日本時間)

2×10257-9×10128-29

c250

composite cofactor 合成数の残り
3903019184393106471904448157776896476045941814336421753383751754553486604116100613745863726631599600502568362259193961748304362570420711511810672657644993942709376781118410927891681538145514000500601240590259836086464520716464742017652497106789454089<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 27, 2022 07:26:42 UTC 2022 年 6 月 27 日 (月) 16 時 26 分 42 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 3, 2022 00:08:50 UTC 2022 年 8 月 3 日 (水) 9 時 8 分 50 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:40:57 UTC 2022 年 8 月 26 日 (金) 22 時 40 分 57 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:54:50 UTC 2022 年 10 月 28 日 (金) 21 時 54 分 50 秒 (日本時間)
1792Dmitry DomanovDecember 4, 2022 11:31:52 UTC 2022 年 12 月 4 日 (日) 20 時 31 分 52 秒 (日本時間)

2×10261-9×10130-29

c235

composite cofactor 合成数の残り
7671441739330559000229606724108377808781151914991198350813832944554160281576386605302671712713435897815985909863335744605133102836518409464352639280946106294742607251559272430036768641548293442039432615723717492044508573501118918031641<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:31 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 31 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:39 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 39 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:14 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 14 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:04:31 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 31 秒 (日本時間)
1792Dmitry DomanovDecember 8, 2022 22:34:18 UTC 2022 年 12 月 9 日 (金) 7 時 34 分 18 秒 (日本時間)

2×10263-9×10131-29

c222

name 名前Dmitry Domanov
date 日付July 26, 2022 17:56:53 UTC 2022 年 7 月 27 日 (水) 2 時 56 分 53 秒 (日本時間)
composite number 合成数
468740299342358327456197105997742165663876983212890030366405355442141194518633033233072452359152560999479340618699510093110142833895099404016561116078260383067451255535348669931784673454911406407618186016257904257227153859<222>
prime factors 素因数
2326222360684240195477202832809125508767<40>
composite cofactor 合成数の残り
201502791506346804269688269173394301870726003668882907757644692796091989133203735068822723706344033252978855572408821017487908763178306530039620088233665416573506782029794937777616477<183>
factorization results 素因数分解の結果
GPU: factor 2326222360684240195477202832809125508767 found in Step 1 with curve 1589 (-sigma 3:-356939076)
Computing 1792 Step 1 took 260ms of CPU time / 175348ms of GPU time
Throughput: 10.220 curves per second (on average 97.85ms per Step 1)
********** Factor found in step 1: 2326222360684240195477202832809125508767
Found prime factor of 40 digits: 2326222360684240195477202832809125508767
Composite cofactor 201502791506346804269688269173394301870726003668882907757644692796091989133203735068822723706344033252978855572408821017487908763178306530039620088233665416573506782029794937777616477 has 183 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:39 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 39 秒 (日本時間)
4511e630001000Dmitry DomanovAugust 13, 2022 22:56:22 UTC 2022 年 8 月 14 日 (日) 7 時 56 分 22 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:14:53 UTC 2022 年 9 月 6 日 (火) 1 時 14 分 53 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:36:04 UTC 2022 年 9 月 24 日 (土) 20 時 36 分 4 秒 (日本時間)
5043e63792 / 68061792Dmitry DomanovNovember 17, 2022 22:18:56 UTC 2022 年 11 月 18 日 (金) 7 時 18 分 56 秒 (日本時間)
2000Dmitry DomanovDecember 22, 2022 14:16:50 UTC 2022 年 12 月 22 日 (木) 23 時 16 分 50 秒 (日本時間)

2×10265-9×10132-29

c182

composite cofactor 合成数の残り
27279251438227114786790049941002467644373819232467362027186903073139678478516804915946059015068052992112333285453185803731607722665006947492102626605774732727836110212661348961063933<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 19, 2022 12:49:19 UTC 2022 年 7 月 19 日 (火) 21 時 49 分 19 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 13, 2022 22:56:37 UTC 2022 年 8 月 14 日 (日) 7 時 56 分 37 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:15:01 UTC 2022 年 9 月 6 日 (火) 1 時 15 分 1 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:36:12 UTC 2022 年 9 月 24 日 (土) 20 時 36 分 12 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 17, 2022 22:19:05 UTC 2022 年 11 月 18 日 (金) 7 時 19 分 5 秒 (日本時間)
2000Dmitry DomanovDecember 22, 2022 14:16:36 UTC 2022 年 12 月 22 日 (木) 23 時 16 分 36 秒 (日本時間)

2×10267-9×10133-29

c241

name 名前Dmitry Domanov
date 日付July 27, 2022 15:34:55 UTC 2022 年 7 月 28 日 (木) 0 時 34 分 55 秒 (日本時間)
composite number 合成数
1367252495045179910628958987787488228346982488463147578680521335067888697393763440005074158595755357988107091127374029141646597470666198033551746440731327445388190024883772072590777336406120829488139175210484423050261629067603261988270309939<241>
prime factors 素因数
3323750692761609470913724182501305266584899033<46>
composite cofactor 合成数の残り
411358318186364598599407359407774450270048959242522940311966448926098723268933615802102428474988201469043249138859312743311523402119671435391031531258272581392978425774899400372608410284767669483<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @0ca411a08d28 with GMP-ECM 7.0.5-dev on Tue Jul 26 14:15:27 2022 
Input number is 1367252495045179910628958987787488228346982488463147578680521335067888697393763440005074158595755357988107091127374029141646597470666198033551746440731327445388190024883772072590777336406120829488139175210484423050261629067603261988270309939 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3437780058
Step 1 took 0ms
Step 2 took 6373ms
********** Factor found in step 2: 3323750692761609470913724182501305266584899033
Found prime factor of 46 digits: 3323750692761609470913724182501305266584899033
Composite cofactor 411358318186364598599407359407774450270048959242522940311966448926098723268933615802102428474988201469043249138859312743311523402119671435391031531258272581392978425774899400372608410284767669483 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:47 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 47 秒 (日本時間)
4511e630001000Dmitry DomanovAugust 13, 2022 22:56:51 UTC 2022 年 8 月 14 日 (日) 7 時 56 分 51 秒 (日本時間)
1000Dmitry DomanovSeptember 5, 2022 16:15:08 UTC 2022 年 9 月 6 日 (火) 1 時 15 分 8 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:36:20 UTC 2022 年 9 月 24 日 (土) 20 時 36 分 20 秒 (日本時間)
5043e63584 / 68061792Dmitry DomanovNovember 17, 2022 22:19:13 UTC 2022 年 11 月 18 日 (金) 7 時 19 分 13 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:40:10 UTC 2022 年 12 月 24 日 (土) 7 時 40 分 10 秒 (日本時間)

2×10269-9×10134-29

c232

composite cofactor 合成数の残り
1560400965057899549491362699790927294038228362073175653579705049164901580305244981367009299399299837598195888747967761426399122006722637956552556958366038949846889952583691611443097934770979726860767661304177662814921181939320588551<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:24:54 UTC 2022 年 7 月 26 日 (火) 21 時 24 分 54 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:46 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 46 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:22 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 22 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:04:39 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 39 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:24:30 UTC 2022 年 12 月 16 日 (金) 6 時 24 分 30 秒 (日本時間)

2×10271-9×10135-29

c181

composite cofactor 合成数の残り
4644666336375439300686746705024599780601792523114532796218162261745047205196398671117759789350348471440326121817054999639194733632202539119696249842253743120327110496412187820240049<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 13, 2022 16:34:06 UTC 2022 年 6 月 14 日 (火) 1 時 34 分 6 秒 (日本時間)
4511e64480Ignacio SantosJune 14, 2022 09:12:40 UTC 2022 年 6 月 14 日 (火) 18 時 12 分 40 秒 (日本時間)
5043e61792Dmitry DomanovNovember 17, 2022 22:19:37 UTC 2022 年 11 月 18 日 (金) 7 時 19 分 37 秒 (日本時間)
5511e73584 / 168301792Dmitry DomanovNovember 17, 2022 22:19:21 UTC 2022 年 11 月 18 日 (金) 7 時 19 分 21 秒 (日本時間)
1792Dmitry DomanovNovember 17, 2022 22:19:37 UTC 2022 年 11 月 18 日 (金) 7 時 19 分 37 秒 (日本時間)

2×10273-9×10136-29

c269

name 名前Dmitry Domanov
date 日付August 4, 2022 07:23:51 UTC 2022 年 8 月 4 日 (木) 16 時 23 分 51 秒 (日本時間)
composite number 合成数
22524044417415591143545735072189562357816969615064080906367547356803387616280379304907989278554857310178615672230105637768317679122463228483906570263756560127936572290920557695339775210036714192400387413563979548167668986643241660472554451877379102191589521814537018267<269>
prime factors 素因数
14061966676299677459293989856149404829043<41>
1601770572773299936379763446392655991360886998805394008045693022571587255549269161164086065958901561269378952333366280077599321026942488540072333657749587305530410788320396061082749689045849167160039626086612114928565236125370169<229>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c627acaf82c with GMP-ECM 7.0.5-dev on Wed Aug  3 00:49:00 2022 
Input number is 22524044417415591143545735072189562357816969615064080906367547356803387616280379304907989278554857310178615672230105637768317679122463228483906570263756560127936572290920557695339775210036714192400387413563979548167668986643241660472554451877379102191589521814537018267 (269 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:102624013
Step 1 took 0ms
Step 2 took 18750ms
********** Factor found in step 2: 14061966676299677459293989856149404829043
Found prime factor of 41 digits: 14061966676299677459293989856149404829043
Prime cofactor 1601770572773299936379763446392655991360886998805394008045693022571587255549269161164086065958901561269378952333366280077599321026942488540072333657749587305530410788320396061082749689045849167160039626086612114928565236125370169 has 229 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 27, 2022 07:26:51 UTC 2022 年 6 月 27 日 (月) 16 時 26 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 3, 2022 00:08:58 UTC 2022 年 8 月 3 日 (水) 9 時 8 分 58 秒 (日本時間)

2×10275-9×10137-29

c180

name 名前Ignacio Santos
date 日付June 13, 2022 21:02:57 UTC 2022 年 6 月 14 日 (火) 6 時 2 分 57 秒 (日本時間)
composite number 合成数
148642767364114749181694850371303549071037177537043997191133081030563392712375303399654161161324508454796138502279804229605724798025464483636507726039775694254607587742029354319717<180>
prime factors 素因数
6877134870478983028748825354628259236289<40>
composite cofactor 合成数の残り
21614054422893989852881152325051198716037761319794052975895263242663804015802077090885356690937576732684013248306315747808473916604171007653<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1971379514
Step 1 took 31093ms
Step 2 took 13453ms
********** Factor found in step 2: 6877134870478983028748825354628259236289
Found prime factor of 40 digits: 6877134870478983028748825354628259236289
Composite cofactor 21614054422893989852881152325051198716037761319794052975895263242663804015802077090885356690937576732684013248306315747808473916604171007653 has 140 digits
software ソフトウェア
GMP-ECM

c140

name 名前Ignacio Santos
date 日付June 14, 2022 17:18:21 UTC 2022 年 6 月 15 日 (水) 2 時 18 分 21 秒 (日本時間)
composite number 合成数
21614054422893989852881152325051198716037761319794052975895263242663804015802077090885356690937576732684013248306315747808473916604171007653<140>
prime factors 素因数
7998043831859868284513778685971846628924883<43>
composite cofactor 合成数の残り
2702417600763241762043429588824223811375092652427527963681042186232961161178745215053246821185191<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2613228490
Step 1 took 21938ms
Step 2 took 10578ms
********** Factor found in step 2: 7998043831859868284513778685971846628924883
Found prime factor of 43 digits: 7998043831859868284513778685971846628924883
Composite cofactor 2702417600763241762043429588824223811375092652427527963681042186232961161178745215053246821185191 has 97 digits
 
software ソフトウェア
GMP-ECM

c97

name 名前Dmitry Domanov
date 日付June 15, 2022 20:16:30 UTC 2022 年 6 月 16 日 (木) 5 時 16 分 30 秒 (日本時間)
composite number 合成数
2702417600763241762043429588824223811375092652427527963681042186232961161178745215053246821185191<97>
prime factors 素因数
72622618087054678767291410567750997425169419581<47>
37211789824538979750251161476943606859289004005811<50>
factorization results 素因数分解の結果
N=2702417600763241762043429588824223811375092652427527963681042186232961161178745215053246821185191
  ( 97 digits)
Divisors found:
p47 factor: 72622618087054678767291410567750997425169419581
p50 factor: 37211789824538979750251161476943606859289004005811
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2702417600763241762043429588824223811375092652427527963681042186232961161178745215053246821185191
skew: 344964.48
c0: 85870002742804347380935135
c1: 814117928319915389238
c2: -1760180288657539
c3: -8680050018
c4: 19320
Y0: -108753140879463513213354
Y1: 12203356203679
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 150479 x 150705
Total sieving time: 1.05 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 1.09 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 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 13, 2022 16:04:41 UTC 2022 年 6 月 14 日 (火) 1 時 4 分 41 秒 (日本時間)

2×10277-9×10138-29

c240

composite cofactor 合成数の残り
636339689444378566383015699081288663935134022694106276576503095879533824028867232108813370222388782187155918290659374719917815029832249453079015732203192624205687289632113991086423453447202926045981417931093413505228644773898904342571626933<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:25:02 UTC 2022 年 7 月 26 日 (火) 21 時 25 分 2 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:01:55 UTC 2022 年 8 月 8 日 (月) 21 時 1 分 55 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:29 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 29 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:55:05 UTC 2022 年 10 月 28 日 (金) 21 時 55 分 5 秒 (日本時間)
1792Dmitry DomanovDecember 4, 2022 11:32:00 UTC 2022 年 12 月 4 日 (日) 20 時 32 分 0 秒 (日本時間)

2×10279-9×10139-29

c210

composite cofactor 合成数の残り
155723828747684175142551040200371842301570742385698709216756743738558808207728988579523223646208676412930961623428197363820376193770991824687286335177344393145139701776075919974165924372197904153848953360522363<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 10:54:25 UTC 2022 年 7 月 29 日 (金) 19 時 54 分 25 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:08:53 UTC 2022 年 8 月 17 日 (水) 16 時 8 分 53 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:37 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 37 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 13, 2022 00:27:39 UTC 2022 年 11 月 13 日 (日) 9 時 27 分 39 秒 (日本時間)
1792Dmitry DomanovDecember 22, 2022 06:44:17 UTC 2022 年 12 月 22 日 (木) 15 時 44 分 17 秒 (日本時間)

2×10281-9×10140-29

c190

composite cofactor 合成数の残り
3016269343601143184081582392766821131940824069788963821158491940663625669335623790677161804690955359067543264892484413338199734370888129325008105499357778490418108454336655263759866024321403<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62200ebinaJune 13, 2022 03:15:26 UTC 2022 年 6 月 13 日 (月) 12 時 15 分 26 秒 (日本時間)
4511e64480Ignacio SantosJune 14, 2022 10:16:51 UTC 2022 年 6 月 14 日 (火) 19 時 16 分 51 秒 (日本時間)
5043e635841792Dmitry DomanovNovember 17, 2022 22:20:30 UTC 2022 年 11 月 18 日 (金) 7 時 20 分 30 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:49:17 UTC 2022 年 12 月 24 日 (土) 7 時 49 分 17 秒 (日本時間)
5511e71200 / 16192Dmitry DomanovJanuary 13, 2023 08:25:22 UTC 2023 年 1 月 13 日 (金) 17 時 25 分 22 秒 (日本時間)

2×10285-9×10142-29

c278

composite cofactor 合成数の残り
13902803857699964340698385385361462542711325086384724199722285931820900132308813472573250641124324196869430580220867449597504791497078527359959663517111577939459044960513743081495580778300370271984861737380289386028129793295753776449893175721138783668993592851133767398333696127<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 27, 2022 07:27:03 UTC 2022 年 6 月 27 日 (月) 16 時 27 分 3 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 3, 2022 00:09:07 UTC 2022 年 8 月 3 日 (水) 9 時 9 分 7 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:41:13 UTC 2022 年 8 月 26 日 (金) 22 時 41 分 13 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 14, 2022 17:20:01 UTC 2022 年 10 月 15 日 (土) 2 時 20 分 1 秒 (日本時間)
1792Dmitry DomanovNovember 28, 2022 22:23:21 UTC 2022 年 11 月 29 日 (火) 7 時 23 分 21 秒 (日本時間)

2×10287-9×10143-29

c241

composite cofactor 合成数の残り
1414125136368446314686814906941124256739422982320133242386815029433254149676937761962053583209647500847663636386500292080263549714118855701075630102536381785541396452205931033989146003976023442523959388503876578289964603423326509880852416593<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:25:09 UTC 2022 年 7 月 26 日 (火) 21 時 25 分 9 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:02:02 UTC 2022 年 8 月 8 日 (月) 21 時 2 分 2 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:45 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 45 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:55:11 UTC 2022 年 10 月 28 日 (金) 21 時 55 分 11 秒 (日本時間)
1792Dmitry DomanovDecember 4, 2022 11:32:07 UTC 2022 年 12 月 4 日 (日) 20 時 32 分 7 秒 (日本時間)

2×10289-9×10144-29

c222

composite cofactor 合成数の残り
193913518320140621237592760619595761826235678590526721192347878651075981527369748909847965015472227866910904229877227683416306437338849518120481948200758319792402817475342897941723133771828591511644375168932547542754712697<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:25:17 UTC 2022 年 7 月 26 日 (火) 21 時 25 分 17 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:02:10 UTC 2022 年 8 月 8 日 (月) 21 時 2 分 10 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:52 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 52 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 13, 2022 00:28:09 UTC 2022 年 11 月 13 日 (日) 9 時 28 分 9 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:28:29 UTC 2022 年 12 月 16 日 (金) 6 時 28 分 29 秒 (日本時間)

2×10291-9×10145-29

c273

name 名前Dmitry Domanov
date 日付August 4, 2022 12:53:54 UTC 2022 年 8 月 4 日 (木) 21 時 53 分 54 秒 (日本時間)
composite number 合成数
528978083093275399400802906656804097838279493620812187899239762206033493576691238853931128344324454756404774186848307678648042758403173334794156214917284723303144689650313845887277365597452525725694871522894591783306555895850316204749659447698148083269225507523369654224369<273>
prime factors 素因数
181471741137647697527997728607660041267<39>
composite cofactor 合成数の残り
2914933640781247011347957660151999075264490772305167622499402875889999726501277645969545914366708082558013841373068220799893391036198828728264990323623648535376493386749820183582281361197277785728239848202008875476354339486720317106507<235>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6c627acaf82c with GMP-ECM 7.0.5-dev on Wed Aug  3 01:21:30 2022 
Input number is 528978083093275399400802906656804097838279493620812187899239762206033493576691238853931128344324454756404774186848307678648042758403173334794156214917284723303144689650313845887277365597452525725694871522894591783306555895850316204749659447698148083269225507523369654224369 (273 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2121856535
Step 1 took 0ms
Step 2 took 16705ms
********** Factor found in step 2: 181471741137647697527997728607660041267
Found prime factor of 39 digits: 181471741137647697527997728607660041267
Composite cofactor 2914933640781247011347957660151999075264490772305167622499402875889999726501277645969545914366708082558013841373068220799893391036198828728264990323623648535376493386749820183582281361197277785728239848202008875476354339486720317106507 has 235 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 27, 2022 07:27:12 UTC 2022 年 6 月 27 日 (月) 16 時 27 分 12 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 3, 2022 00:09:15 UTC 2022 年 8 月 3 日 (水) 9 時 9 分 15 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:00:59 UTC 2022 年 9 月 9 日 (金) 18 時 0 分 59 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:04:46 UTC 2022 年 11 月 3 日 (木) 1 時 4 分 46 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:25:08 UTC 2022 年 12 月 16 日 (金) 6 時 25 分 8 秒 (日本時間)

2×10293-9×10146-29

c275

name 名前Dmitry Domanov
date 日付October 16, 2022 10:22:24 UTC 2022 年 10 月 16 日 (日) 19 時 22 分 24 秒 (日本時間)
composite number 合成数
45695539428841564140433513624339103974606463020195290050238365979888131442050372494038049332000203247775340751995490949647508406581882805171586918960763682062678168497925775647204440303120511339593094628934786467520634241330283464711122061819251372413179213562636876143722259<275>
prime factors 素因数
394952184736972767239286092916657725753507334986821<51>
115698915450419725377068672872549617866107727228414561499555592681003461007809111735834487634131725446573403504682776823076557807721765400590187329067277538180157344061329557240411159862169367629394940335225012127760100335479<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @7be50576359f with GMP-ECM 7.0.5-dev on Sat Oct 15 13:19:55 2022 
Input number is 45695539428841564140433513624339103974606463020195290050238365979888131442050372494038049332000203247775340751995490949647508406581882805171586918960763682062678168497925775647204440303120511339593094628934786467520634241330283464711122061819251372413179213562636876143722259 (275 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1106285219
Step 1 took 0ms
Step 2 took 76023ms
********** Factor found in step 2: 394952184736972767239286092916657725753507334986821
Found prime factor of 51 digits: 394952184736972767239286092916657725753507334986821
Prime cofactor 115698915450419725377068672872549617866107727228414561499555592681003461007809111735834487634131725446573403504682776823076557807721765400590187329067277538180157344061329557240411159862169367629394940335225012127760100335479 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 27, 2022 07:27:21 UTC 2022 年 6 月 27 日 (月) 16 時 27 分 21 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 3, 2022 00:09:23 UTC 2022 年 8 月 3 日 (水) 9 時 9 分 23 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:41:20 UTC 2022 年 8 月 26 日 (金) 22 時 41 分 20 秒 (日本時間)
5043e61792 / 6675Dmitry DomanovOctober 14, 2022 17:20:10 UTC 2022 年 10 月 15 日 (土) 2 時 20 分 10 秒 (日本時間)

2×10295-9×10147-29

c269

name 名前Dmitry Domanov
date 日付August 28, 2022 20:55:19 UTC 2022 年 8 月 29 日 (月) 5 時 55 分 19 秒 (日本時間)
composite number 合成数
76849512988930009918144225983823076582032445161327751424344519010380847183038869739351863410564289075267384206173528990998784626950187620166273184669186361494781715476116382566154997910552545493428677990695483096470016721332432259096352206316045088413570715329313249263<269>
prime factors 素因数
85307461156336148854973015322319426221293<41>
composite cofactor 合成数の残り
900853359685550423096538628474043555234323468024942534539059496374099796967264481231055994584010724839748014770542596143012384693123503384860371401890093164333587835848158544993892244167335664998368733342044730158472484104921291<228>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1a589f80a68b with GMP-ECM 7.0.5-dev on Fri Aug 26 23:43:57 2022 
Input number is 76849512988930009918144225983823076582032445161327751424344519010380847183038869739351863410564289075267384206173528990998784626950187620166273184669186361494781715476116382566154997910552545493428677990695483096470016721332432259096352206316045088413570715329313249263 (269 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1684377600
Step 1 took 0ms
Step 2 took 4853ms
********** Factor found in step 2: 85307461156336148854973015322319426221293
Found prime factor of 41 digits: 85307461156336148854973015322319426221293
Composite cofactor 900853359685550423096538628474043555234323468024942534539059496374099796967264481231055994584010724839748014770542596143012384693123503384860371401890093164333587835848158544993892244167335664998368733342044730158472484104921291 has 228 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 27, 2022 07:27:31 UTC 2022 年 6 月 27 日 (月) 16 時 27 分 31 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 3, 2022 00:09:31 UTC 2022 年 8 月 3 日 (水) 9 時 9 分 31 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:41:27 UTC 2022 年 8 月 26 日 (金) 22 時 41 分 27 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 13, 2022 00:28:18 UTC 2022 年 11 月 13 日 (日) 9 時 28 分 18 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:28:53 UTC 2022 年 12 月 16 日 (金) 6 時 28 分 53 秒 (日本時間)

2×10297-9×10148-29

c241

composite cofactor 合成数の残り
2053804495031133733984470019454431426148938945007501032878511405004955163477503527542119353179261164857399501056358934370647648335276793251078387774723621121314973636492045747221080712863415597374777971709048868932257338868602507229919078627<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 26, 2022 12:25:25 UTC 2022 年 7 月 26 日 (火) 21 時 25 分 25 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 8, 2022 12:02:23 UTC 2022 年 8 月 8 日 (月) 21 時 2 分 23 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:01:20 UTC 2022 年 9 月 9 日 (金) 18 時 1 分 20 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:55:26 UTC 2022 年 10 月 28 日 (金) 21 時 55 分 26 秒 (日本時間)
1792Dmitry DomanovDecember 4, 2022 11:32:15 UTC 2022 年 12 月 4 日 (日) 20 時 32 分 15 秒 (日本時間)

2×10301-9×10150-29

c267

composite cofactor 合成数の残り
460312626773189155084426269379538522411469056792198267188922509125709461511299973296946804853989072170803996555947205115846503256053337367348612838524718012380603698660780373572881947559327991260485343692247272222211591038253370706946694301694962057249147673300788799<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 12, 2022 15:49:27 UTC 2022 年 6 月 13 日 (月) 0 時 49 分 27 秒 (日本時間)
4511e63584Dmitry DomanovJune 13, 2022 20:08:00 UTC 2022 年 6 月 14 日 (火) 5 時 8 分 0 秒 (日本時間)
5043e63714 / 6675130Dmitry DomanovJune 13, 2022 20:08:00 UTC 2022 年 6 月 14 日 (火) 5 時 8 分 0 秒 (日本時間)
1792Dmitry DomanovOctober 30, 2022 06:32:23 UTC 2022 年 10 月 30 日 (日) 15 時 32 分 23 秒 (日本時間)
1792Dmitry DomanovDecember 12, 2022 19:14:55 UTC 2022 年 12 月 13 日 (火) 4 時 14 分 55 秒 (日本時間)