Table of contents 目次

23×10121-329

c96

name 名前Dmitry Domanov
date 日付April 14, 2022 15:53:32 UTC 2022 年 4 月 15 日 (金) 0 時 53 分 32 秒 (日本時間)
composite number 合成数
473960190419354753440106771297853424817352764778703156025461801497137431811612531995153085271967<96>
prime factors 素因数
1424472529644049769505143243903541893457857<43>
332726802768031571361509057710911496732758511579451231<54>
factorization results 素因数分解の結果
N=473960190419354753440106771297853424817352764778703156025461801497137431811612531995153085271967
  ( 96 digits)
SNFS difficulty: 122 digits.
Divisors found:
p43 factor: 1424472529644049769505143243903541893457857
p54 factor: 332726802768031571361509057710911496732758511579451231
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 473960190419354753440106771297853424817352764778703156025461801497137431811612531995153085271967
m: 1000000000000000000000000000000
deg: 4
c4: 115
c0: -16
skew: 0.61
# Murphy_E = 3.444e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63737 x 63962
Total sieving time: 2.03 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 2.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10122-329

c107

name 名前Dmitry Domanov
date 日付April 14, 2022 17:58:58 UTC 2022 年 4 月 15 日 (金) 2 時 58 分 58 秒 (日本時間)
composite number 合成数
12681608308809682366783434872024517771223933775397008556563925586807974626225711941405209057781508961613259<107>
prime factors 素因数
23917497951921687118620723381498228112277192161<47>
530223033124196822353345564323230586529706817476283739730219<60>
factorization results 素因数分解の結果
N=12681608308809682366783434872024517771223933775397008556563925586807974626225711941405209057781508961613259
  ( 107 digits)
SNFS difficulty: 122 digits.
Divisors found:
p47 factor: 23917497951921687118620723381498228112277192161
p60 factor: 530223033124196822353345564323230586529706817476283739730219
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12681608308809682366783434872024517771223933775397008556563925586807974626225711941405209057781508961613259
m: 1000000000000000000000000000000
deg: 4
c4: 575
c0: -8
skew: 0.34
# Murphy_E = 2.53e-08
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74839 x 75065
Total sieving time: 2.15 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,122.000,4,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,75000
total time: 2.18 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10123-329

c85

name 名前Dmitry Domanov
date 日付April 14, 2022 15:09:55 UTC 2022 年 4 月 15 日 (金) 0 時 9 分 55 秒 (日本時間)
composite number 合成数
2461254180034687338947011253496587816529393490361594067433113399416878861953388564013<85>
prime factors 素因数
374082983395708277915167389232792451<36>
6579433679909334362351991545363767046669520619663<49>
factorization results 素因数分解の結果
PRP36 = 374082983395708277915167389232792451
PRP49 = 6579433679909334362351991545363767046669520619663

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10132-329

c105

name 名前Ignacio Santos
date 日付April 14, 2022 22:05:19 UTC 2022 年 4 月 15 日 (金) 7 時 5 分 19 秒 (日本時間)
composite number 合成数
549289123586970106905993596205747802499749574497786443406295990733379444463912440233221750906992798354619<105>
prime factors 素因数
47682999346570150653933653235800037200693744161<47>
11519600929350527582121819349952040667194378809020989061979<59>
factorization results 素因数分解の結果
N=549289123586970106905993596205747802499749574497786443406295990733379444463912440233221750906992798354619
  ( 105 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=47682999346570150653933653235800037200693744161 (pp47)
 r2=11519600929350527582121819349952040667194378809020989061979 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.69 hours.
Scaled time: 21.22 units (timescale=7.880).
Factorization parameters were as follows:
n: 549289123586970106905993596205747802499749574497786443406295990733379444463912440233221750906992798354619
m: 1000000000000000000000000000000000
deg: 4
c4: 23
c0: -32
skew: 1.09
# Murphy_E = 9.073e-09
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156805 x 157035
Total sieving time: 2.67 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,133.000,4,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,100000
total time: 2.69 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10134-329

c114

name 名前Ignacio Santos
date 日付April 14, 2022 17:12:12 UTC 2022 年 4 月 15 日 (金) 2 時 12 分 12 秒 (日本時間)
composite number 合成数
890595214197269141071513097099752314949245539732992756312820325891467612833143150853570874733259708903458112570363<114>
prime factors 素因数
27687845322933894205706255098155845479<38>
32165565930101012770535342103119126716190982355306954274989450628029802309197<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1971594868
Step 1 took 3484ms
Step 2 took 2688ms
********** Factor found in step 2: 27687845322933894205706255098155845479
Found prime factor of 38 digits: 27687845322933894205706255098155845479
Prime cofactor 32165565930101012770535342103119126716190982355306954274989450628029802309197 has 77 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10136-329

c117

name 名前Ignacio Santos
date 日付April 14, 2022 22:13:29 UTC 2022 年 4 月 15 日 (金) 7 時 13 分 29 秒 (日本時間)
composite number 合成数
339493651256197541764171312039589925862139115376899226353278561632885228436507116528009226460397792135175196202474313<117>
prime factors 素因数
615911585165676071162516509210423753552681<42>
551205172029482177150260403606219317633896570377070555928752403104995920673<75>
factorization results 素因数分解の結果
N=339493651256197541764171312039589925862139115376899226353278561632885228436507116528009226460397792135175196202474313
  ( 117 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=615911585165676071162516509210423753552681 (pp42)
 r2=551205172029482177150260403606219317633896570377070555928752403104995920673 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.83 hours.
Scaled time: 14.23 units (timescale=7.788).
Factorization parameters were as follows:
n: 339493651256197541764171312039589925862139115376899226353278561632885228436507116528009226460397792135175196202474313
m: 1000000000000000000000000000
deg: 5
c5: 115
c0: -16
skew: 0.67
# Murphy_E = 5.769e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195218 x 195466
Total sieving time: 1.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,75000
total time: 1.83 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10138-329

c96

name 名前Ignacio Santos
date 日付April 14, 2022 15:23:07 UTC 2022 年 4 月 15 日 (金) 0 時 23 分 7 秒 (日本時間)
composite number 合成数
181920368796057861660016574519490289394967015536513638195675202829564466594198462245471488757877<96>
prime factors 素因数
1634011408526445887778157143202405915499<40>
111333597701202063442797615360653027271938058522365598623<57>
factorization results 素因数分解の結果
prp57 = 111333597701202063442797615360653027271938058522365598623
prp40 = 1634011408526445887778157143202405915499
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10139-329

c119

name 名前Ignacio Santos
date 日付April 16, 2022 22:31:25 UTC 2022 年 4 月 17 日 (日) 7 時 31 分 25 秒 (日本時間)
composite number 合成数
18586644897089549994498708965299709827409951685300621355652535148287228541905553986997074867151434576572232953224858429<119>
prime factors 素因数
8667195371363378143148008876270647625425401<43>
2144482049925893159975752234928963014230572704884720919327755661440601801829<76>
factorization results 素因数分解の結果
N=18586644897089549994498708965299709827409951685300621355652535148287228541905553986997074867151434576572232953224858429
  ( 119 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=8667195371363378143148008876270647625425401 (pp43)
 r2=2144482049925893159975752234928963014230572704884720919327755661440601801829 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.07 hours.
Scaled time: 39.77 units (timescale=7.837).
Factorization parameters were as follows:
n: 18586644897089549994498708965299709827409951685300621355652535148287228541905553986997074867151434576572232953224858429
m: 50000000000000000000000000000000000
deg: 4
c4: 23
c0: -20
skew: 0.97
# Murphy_E = 4.363e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [760000, 1260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203965 x 204191
Total sieving time: 5.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,100000
total time: 5.07 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10141-329

c86

name 名前Dmitry Domanov
date 日付April 14, 2022 15:09:52 UTC 2022 年 4 月 15 日 (金) 0 時 9 分 52 秒 (日本時間)
composite number 合成数
70785281639426453494735288443197778691943119825400491038037054899039066042509723942377<86>
prime factors 素因数
9678903163311847159377786308272738595311<40>
7313357768444263507209187540273038828404983207<46>
factorization results 素因数分解の結果
PRP46 = 7313357768444263507209187540273038828404983207
PRP40 = 9678903163311847159377786308272738595311

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10147-329

c134

name 名前Ignacio Santos
date 日付April 17, 2022 08:34:09 UTC 2022 年 4 月 17 日 (日) 17 時 34 分 9 秒 (日本時間)
composite number 合成数
42836218537866638479280189053110660829967708196664936635310671361054235208457553776503225867338556468570155037208977647059900027677077<134>
prime factors 素因数
5169980600047889171819865949850314209508343194687<49>
8285566591385246118169263527098432772111472850291850513167521604393951470407331228971<85>
factorization results 素因数分解の結果
N=42836218537866638479280189053110660829967708196664936635310671361054235208457553776503225867338556468570155037208977647059900027677077
  ( 134 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=5169980600047889171819865949850314209508343194687 (pp49)
 r2=8285566591385246118169263527098432772111472850291850513167521604393951470407331228971 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.53 hours.
Scaled time: 35.65 units (timescale=7.874).
Factorization parameters were as follows:
n: 42836218537866638479280189053110660829967708196664936635310671361054235208457553776503225867338556468570155037208977647059900027677077
m: 100000000000000000000000000000
deg: 5
c5: 575
c0: -8
skew: 0.43
# Murphy_E = 2.084e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 309171 x 309396
Total sieving time: 4.48 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,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 4.53 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10153-329

c106

name 名前Eric Jeancolas
date 日付April 15, 2022 07:56:37 UTC 2022 年 4 月 15 日 (金) 16 時 56 分 37 秒 (日本時間)
composite number 合成数
7660800588799369859131557163354049893468043184366796371474730571896024942082090467632722673357803680846063<106>
prime factors 素因数
166788221987262978856007649072834028064327<42>
45931304366230355606377178062337373825208635506370345820424172569<65>
factorization results 素因数分解の結果
7660800588799369859131557163354049893468043184366796371474730571896024942082090467632722673357803680846063=166788221987262978856007649072834028064327*45931304366230355606377178062337373825208635506370345820424172569

cado polynomial
n: 7660800588799369859131557163354049893468043184366796371474730571896024942082090467632722673357803680846063
skew: 2514.825
c0: 10409763641581853337261
c1: 27407629361025020662
c2: -9236254701106884
c3: -7776203110600
c4: 591409581
c5: 25920
Y0: -17141347429453626976
Y1: 67283613615697889
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.904e-06
# f(x) = 25920*x^5+591409581*x^4-7776203110600*x^3-9236254701106884*x^2+27407629361025020662*x+10409763641581853337261
# g(x) = 67283613615697889*x-17141347429453626976

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

cado log (extracts)
Info:Square Root: Factors: 166788221987262978856007649072834028064327 45931304366230355606377178062337373825208635506370345820424172569
Info:Square Root: Total cpu/real time for sqrt: 126.24/36.8412
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 60.19/62.8669
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.6s
Info:Square Root: Total cpu/real time for sqrt: 126.24/36.8412
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.8/42.2316
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4943380
Info:Lattice Sieving: Average J: 1887.9 for 56054 special-q, max bucket fill -bkmult 1.0,1s:1.344470
Info:Lattice Sieving: Total time: 5200.98s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.413303
Info:Linear Algebra: Total cpu/real time for bwc: 642.45/167.14
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 379.65, WCT time 97.34, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 32.77, WCT time 8.39
Info:Linear Algebra: Mksol: CPU time 212.91,  WCT time 54.68, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.37/16.405
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.53/20.0903
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 152.3
Info:Polynomial Selection (root optimized): Rootsieve time: 151.68
Info:Filtering - Merging: Merged matrix has 231706 rows and total weight 33839708 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.4/9.37555
Info:Filtering - Merging: Total cpu/real time for replay: 7.43/5.91585
Info:Quadratic Characters: Total cpu/real time for characters: 8.68/3.34408
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9938/30.640/37.474/43.050/1.104
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7594/29.880/33.257/37.980/0.873
Info:Polynomial Selection (size optimized): Total time: 492.96
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10972.2/3109.95
Info:root: Cleaning up computation data in /tmp/cado.eijk6uqo
166788221987262978856007649072834028064327 45931304366230355606377178062337373825208635506370345820424172569
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 17:46:53 UTC 2022 年 4 月 15 日 (金) 2 時 46 分 53 秒 (日本時間)

23×10155-329

c119

name 名前Ignacio Santos
date 日付April 17, 2022 10:24:11 UTC 2022 年 4 月 17 日 (日) 19 時 24 分 11 秒 (日本時間)
composite number 合成数
74710696132925723301305864622574359199202734540814870131540156315601284344423149475649465299032094581023634812072462163<119>
prime factors 素因数
132974851634307632486803386578026229<36>
561840793313209426798279006062021747548067226169939994495216200835553220103204548647<84>
factorization results 素因数分解の結果
N=74710696132925723301305864622574359199202734540814870131540156315601284344423149475649465299032094581023634812072462163
  ( 119 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=132974851634307632486803386578026229 (pp36)
 r2=561840793313209426798279006062021747548067226169939994495216200835553220103204548647 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.33 hours.
Scaled time: 65.60 units (timescale=7.874).
Factorization parameters were as follows:
n: 74710696132925723301305864622574359199202734540814870131540156315601284344423149475649465299032094581023634812072462163
m: 10000000000000000000000000000000
deg: 5
c5: 23
c0: -32
skew: 1.07
# Murphy_E = 1.197e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 437602 x 437833
Total sieving time: 8.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 8.33 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10157-329

c122

name 名前Ignacio Santos
date 日付April 18, 2022 22:10:28 UTC 2022 年 4 月 19 日 (火) 7 時 10 分 28 秒 (日本時間)
composite number 合成数
56732931448512967362198165709387743685913746533192694373852019059868462829956905487077490637998185747229049095486689144273<122>
prime factors 素因数
42800876338398227240678429324755066219<38>
1325508641457786819612829249709455734940827877736995545921693488908224044114890380467<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4198306376
Step 1 took 4860ms
Step 2 took 2859ms
********** Factor found in step 2: 42800876338398227240678429324755066219
Found prime factor of 38 digits: 42800876338398227240678429324755066219
Prime cofactor 1325508641457786819612829249709455734940827877736995545921693488908224044114890380467 has 85 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10160-329

c141

name 名前Ignacio Santos
date 日付April 20, 2022 22:38:21 UTC 2022 年 4 月 21 日 (木) 7 時 38 分 21 秒 (日本時間)
composite number 合成数
109247003587677209576605291262217560785521086901719981564068274830926471313936460194433099828382623693217430970523386967331072690144623341917<141>
prime factors 素因数
8729765486241757258550136142117384484666712959<46>
12514311382115836137161291149752571400434833455505605566872201728421124780793976091910106294563<95>
factorization results 素因数分解の結果
N=109247003587677209576605291262217560785521086901719981564068274830926471313936460194433099828382623693217430970523386967331072690144623341917
  ( 141 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=8729765486241757258550136142117384484666712959 (pp46)
 r2=12514311382115836137161291149752571400434833455505605566872201728421124780793976091910106294563 (pp95)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.71 hours.
Scaled time: 100.22 units (timescale=7.886).
Factorization parameters were as follows:
n: 109247003587677209576605291262217560785521086901719981564068274830926471313936460194433099828382623693217430970523386967331072690144623341917
m: 100000000000000000000000000000000
deg: 5
c5: 23
c0: -32
skew: 1.07
# Murphy_E = 7.67e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 517130 x 517361
Total sieving time: 12.62 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 12.71 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 21:58:52 UTC 2022 年 4 月 19 日 (火) 6 時 58 分 52 秒 (日本時間)

23×10161-329

c113

name 名前Eric Jeancolas
date 日付April 15, 2022 09:09:48 UTC 2022 年 4 月 15 日 (金) 18 時 9 分 48 秒 (日本時間)
composite number 合成数
10148309981268699985988610977994809834255445215541447196453875155552183173719902985151475649765363417177128759441<113>
prime factors 素因数
341432326829248847495863829745462172139327770085317<51>
29722756704123962312501878089251733375283834920805213486138973<62>
factorization results 素因数分解の結果
10148309981268699985988610977994809834255445215541447196453875155552183173719902985151475649765363417177128759441=341432326829248847495863829745462172139327770085317*29722756704123962312501878089251733375283834920805213486138973

cado polynomial
n: 10148309981268699985988610977994809834255445215541447196453875155552183173719902985151475649765363417177128759441
skew: 5896.519
c0: -2680908006242610243082956
c1: 570961715526722119249
c2: 433388939566710194
c3: -13008466873701
c4: -4181991210
c5: 399600
Y0: -3026629482049887268222
Y1: 18675283786943
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.381e-06
# f(x) = 399600*x^5-4181991210*x^4-13008466873701*x^3+433388939566710194*x^2+570961715526722119249*x-2680908006242610243082956
# g(x) = 18675283786943*x-3026629482049887268222

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

cado log (extracts)
Info:Square Root: Factors: 341432326829248847495863829745462172139327770085317 29722756704123962312501878089251733375283834920805213486138973
Info:Square Root: Total cpu/real time for sqrt: 131.28/40.1435
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 94.36/100.303
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 131.28/40.1435
Info:Generate Free Relations: Total cpu/real time for freerel: 63.91/16.5552
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.67/76.478
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6551424
Info:Lattice Sieving: Average J: 1896.68 for 96745 special-q, max bucket fill -bkmult 1.0,1s:1.244070
Info:Lattice Sieving: Total time: 11452.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.14491
Info:Linear Algebra: Total cpu/real time for bwc: 2140.67/553.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1314.77, WCT time 337.11, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Linear Algebra: Lingen CPU time 65.65, WCT time 16.79
Info:Linear Algebra: Mksol: CPU time 726.95,  WCT time 186.11, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.9/28.2126
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 284.71
Info:Polynomial Selection (root optimized): Rootsieve time: 283.66
Info:Filtering - Merging: Merged matrix has 407452 rows and total weight 63505346 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.77/19.7535
Info:Filtering - Merging: Total cpu/real time for replay: 13.99/11.1842
Info:Quadratic Characters: Total cpu/real time for characters: 15.18/5.86056
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21606/32.870/39.820/44.990/1.062
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16554/30.470/35.279/40.190/0.816
Info:Polynomial Selection (size optimized): Total time: 1829.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25688.5/7072.92
Info:root: Cleaning up computation data in /tmp/cado.hlk_maep
341432326829248847495863829745462172139327770085317 29722756704123962312501878089251733375283834920805213486138973
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 17:47:13 UTC 2022 年 4 月 15 日 (金) 2 時 47 分 13 秒 (日本時間)

23×10163-329

c150

name 名前Bob Backstrom
date 日付April 19, 2022 05:58:07 UTC 2022 年 4 月 19 日 (火) 14 時 58 分 7 秒 (日本時間)
composite number 合成数
110957091095988075303053403531972240072166581686413991242544470794381046205708975578765500673418662240786305934997593893827692920120798817684829433113<150>
prime factors 素因数
883509962109243274987417990613165930365039078965950401029763399<63>
125586689289948916354371669473294710079125960176233979731362658903888973652176932822687<87>
factorization results 素因数分解の結果
Number: n
N=110957091095988075303053403531972240072166581686413991242544470794381046205708975578765500673418662240786305934997593893827692920120798817684829433113  ( 150 digits)
SNFS difficulty: 163 digits.
Divisors found:

Tue Apr 19 15:53:51 2022  p63 factor: 883509962109243274987417990613165930365039078965950401029763399
Tue Apr 19 15:53:51 2022  p87 factor: 125586689289948916354371669473294710079125960176233979731362658903888973652176932822687
Tue Apr 19 15:53:51 2022  elapsed time 00:07:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 23x10^163-32 = 25(162)2
#
n: 110957091095988075303053403531972240072166581686413991242544470794381046205708975578765500673418662240786305934997593893827692920120798817684829433113
m: 100000000000000000000000000000000
deg: 5
c5: 2875
c0: -4
skew: 0.27
# Murphy_E = 4.751e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2120611 hash collisions in 17670656 relations (16662022 unique)
Msieve: matrix is 440642 x 440867 (148.6 MB)

Sieving start time : 2022/04/19 15:11:44
Sieving end time  : 2022/04/19 15:46:09

Total sieving time: 0hrs 34min 25secs.

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

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 15:14:03 UTC 2022 年 4 月 19 日 (火) 0 時 14 分 3 秒 (日本時間)

23×10165-329

c142

name 名前Eric Jeancolas
date 日付April 21, 2022 09:03:39 UTC 2022 年 4 月 21 日 (木) 18 時 3 分 39 秒 (日本時間)
composite number 合成数
2514111071566001310661217296821940508880010270534897124182391392107991005573818307808404821408804451651162331728963448162463873243708561807821<142>
prime factors 素因数
513893228272801399161803911063384894171962211<45>
402789829552475879846313909795199511715183604829<48>
12145994205861099969375112943842230488904799418459<50>
factorization results 素因数分解の結果
2514111071566001310661217296821940508880010270534897124182391392107991005573818307808404821408804451651162331728963448162463873243708561807821=513893228272801399161803911063384894171962211*402789829552475879846313909795199511715183604829*12145994205861099969375112943842230488904799418459

cado polynomial
n: 2514111071566001310661217296821940508880010270534897124182391392107991005573818307808404821408804451651162331728963448162463873243708561807821
skew: 1.07
type: snfs
c0: -32
c5: 23
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-32
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4100000
tasks.lim1 = 4100000
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: 12145994205861099969375112943842230488904799418459 513893228272801399161803911063384894171962211 402789829552475879846313909795199511715183604829
Info:Square Root: Total cpu/real time for sqrt: 142.58/45.1535
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.88/72.6437
Info:Generate Free Relations: Total cpu/real time for freerel: 60.38/17.3886
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11663219
Info:Lattice Sieving: Average J: 1893.6 for 239910 special-q, max bucket fill -bkmult 1.0,1s:1.219360
Info:Lattice Sieving: Total time: 32010.9s
Info:Linear Algebra: Total cpu/real time for bwc: 2667.41/689.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1658.75, WCT time 425.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13440 iterations)
Info:Linear Algebra: Lingen CPU time 66.06, WCT time 16.81
Info:Linear Algebra: Mksol: CPU time 903.19,  WCT time 230.6, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.5/49.6252
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.71/91.1673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.5s
Info:Filtering - Merging: Merged matrix has 428165 rows and total weight 72955549 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 88.71/24.8657
Info:Filtering - Merging: Total cpu/real time for replay: 14/11.6773
Info:Generate Factor Base: Total cpu/real time for makefb: 1.75/0.956919
Info:Quadratic Characters: Total cpu/real time for characters: 13.95/5.48692
Info:Square Root: Total cpu/real time for sqrt: 142.58/45.1535
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 62215.5/17191.9
Info:root: Cleaning up computation data in /tmp/cado.8oe5309w
12145994205861099969375112943842230488904799418459 513893228272801399161803911063384894171962211 402789829552475879846313909795199511715183604829
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 15:14:43 UTC 2022 年 4 月 19 日 (火) 0 時 14 分 43 秒 (日本時間)

23×10167-329

c77

name 名前Ignacio Santos
date 日付April 14, 2022 15:09:37 UTC 2022 年 4 月 15 日 (金) 0 時 9 分 37 秒 (日本時間)
composite number 合成数
55424079372945408350417521564431460577100043008674614416914601431438487150331<77>
prime factors 素因数
226434021766554521651849167762165663801<39>
244769222136087290349332789321926072531<39>
factorization results 素因数分解の結果
prp39 = 226434021766554521651849167762165663801
prp39 = 244769222136087290349332789321926072531
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10168-329

c135

name 名前Taiyo Kodama
date 日付May 9, 2022 06:07:54 UTC 2022 年 5 月 9 日 (月) 15 時 7 分 54 秒 (日本時間)
composite number 合成数
190200364942028565436482641833674320616001641189929015818713479943538543383224648536590941579834576162104949548386393548219000122530073<135>
prime factors 素因数
371944603338347995665906119214339553102321<42>
511367454279228813631498467054328174303390111575214208911344092490799309867956512242940991913<93>
factorization results 素因数分解の結果
Mon May 09 12:10:29 2022 -> factmsieve.py (v0.86)
Mon May 09 12:10:29 2022 -> This is client 1 of 1
Mon May 09 12:10:29 2022 -> Running on 6 Cores with 1 hyper-thread per Core
Mon May 09 12:10:29 2022 -> Working with NAME = 25552_168
Mon May 09 12:10:29 2022 -> Selected lattice siever: gnfs-lasieve4I13e
Mon May 09 12:10:29 2022 -> Creating param file to detect parameter changes...
Mon May 09 12:10:29 2022 -> Running setup ...
Mon May 09 12:10:29 2022 -> Estimated minimum relations needed: 1.03344e+07
Mon May 09 12:10:29 2022 -> cleaning up before a restart
Mon May 09 12:10:29 2022 -> Running lattice siever ...
Mon May 09 12:10:29 2022 -> entering sieving loop
Mon May 09 12:10:29 2022 -> making sieve job for q = 2250000 in 2250000 .. 2266666 as file 25552_168.job.T0
Mon May 09 12:10:29 2022 -> making sieve job for q = 2266666 in 2266666 .. 2283332 as file 25552_168.job.T1
Mon May 09 12:10:29 2022 -> making sieve job for q = 2283332 in 2283332 .. 2299998 as file 25552_168.job.T2
Mon May 09 12:10:29 2022 -> making sieve job for q = 2299998 in 2299998 .. 2316664 as file 25552_168.job.T3
Mon May 09 12:10:29 2022 -> making sieve job for q = 2316664 in 2316664 .. 2333330 as file 25552_168.job.T4
Mon May 09 12:10:29 2022 -> making sieve job for q = 2333330 in 2333330 .. 2349996 as file 25552_168.job.T5
Mon May 09 12:10:29 2022 -> Lattice sieving rational q from 2250000 to 2350000.
Mon May 09 12:10:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:10:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:10:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:10:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:10:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:10:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 12:17:33 2022 Found 499531 relations, 4.8% of the estimated minimum (10334410).
Mon May 09 12:17:33 2022 LatSieveTime: 424.186
Mon May 09 12:17:33 2022 -> making sieve job for q = 2350000 in 2350000 .. 2366666 as file 25552_168.job.T0
Mon May 09 12:17:33 2022 -> making sieve job for q = 2366666 in 2366666 .. 2383332 as file 25552_168.job.T1
Mon May 09 12:17:33 2022 -> making sieve job for q = 2383332 in 2383332 .. 2399998 as file 25552_168.job.T2
Mon May 09 12:17:33 2022 -> making sieve job for q = 2399998 in 2399998 .. 2416664 as file 25552_168.job.T3
Mon May 09 12:17:33 2022 -> making sieve job for q = 2416664 in 2416664 .. 2433330 as file 25552_168.job.T4
Mon May 09 12:17:33 2022 -> making sieve job for q = 2433330 in 2433330 .. 2449996 as file 25552_168.job.T5
Mon May 09 12:17:33 2022 -> Lattice sieving rational q from 2350000 to 2450000.
Mon May 09 12:17:33 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:17:33 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:17:33 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:17:33 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:17:33 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:17:33 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 12:24:54 2022 Found 1004754 relations, 9.7% of the estimated minimum (10334410).
Mon May 09 12:24:54 2022 LatSieveTime: 440.798
Mon May 09 12:24:54 2022 -> making sieve job for q = 2450000 in 2450000 .. 2466666 as file 25552_168.job.T0
Mon May 09 12:24:54 2022 -> making sieve job for q = 2466666 in 2466666 .. 2483332 as file 25552_168.job.T1
Mon May 09 12:24:54 2022 -> making sieve job for q = 2483332 in 2483332 .. 2499998 as file 25552_168.job.T2
Mon May 09 12:24:54 2022 -> making sieve job for q = 2499998 in 2499998 .. 2516664 as file 25552_168.job.T3
Mon May 09 12:24:54 2022 -> making sieve job for q = 2516664 in 2516664 .. 2533330 as file 25552_168.job.T4
Mon May 09 12:24:54 2022 -> making sieve job for q = 2533330 in 2533330 .. 2549996 as file 25552_168.job.T5
Mon May 09 12:24:54 2022 -> Lattice sieving rational q from 2450000 to 2550000.
Mon May 09 12:24:54 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:24:54 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:24:54 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:24:54 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:24:54 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:24:54 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 12:32:02 2022 Found 1513915 relations, 14.6% of the estimated minimum (10334410).
Mon May 09 12:32:02 2022 LatSieveTime: 427.719
Mon May 09 12:32:02 2022 -> making sieve job for q = 2550000 in 2550000 .. 2566666 as file 25552_168.job.T0
Mon May 09 12:32:02 2022 -> making sieve job for q = 2566666 in 2566666 .. 2583332 as file 25552_168.job.T1
Mon May 09 12:32:02 2022 -> making sieve job for q = 2583332 in 2583332 .. 2599998 as file 25552_168.job.T2
Mon May 09 12:32:02 2022 -> making sieve job for q = 2599998 in 2599998 .. 2616664 as file 25552_168.job.T3
Mon May 09 12:32:02 2022 -> making sieve job for q = 2616664 in 2616664 .. 2633330 as file 25552_168.job.T4
Mon May 09 12:32:02 2022 -> making sieve job for q = 2633330 in 2633330 .. 2649996 as file 25552_168.job.T5
Mon May 09 12:32:02 2022 -> Lattice sieving rational q from 2550000 to 2650000.
Mon May 09 12:32:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:32:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:32:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:32:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:32:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:32:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 12:39:15 2022 Found 2027514 relations, 19.6% of the estimated minimum (10334410).
Mon May 09 12:39:15 2022 LatSieveTime: 433.23
Mon May 09 12:39:15 2022 -> making sieve job for q = 2650000 in 2650000 .. 2666666 as file 25552_168.job.T0
Mon May 09 12:39:15 2022 -> making sieve job for q = 2666666 in 2666666 .. 2683332 as file 25552_168.job.T1
Mon May 09 12:39:15 2022 -> making sieve job for q = 2683332 in 2683332 .. 2699998 as file 25552_168.job.T2
Mon May 09 12:39:15 2022 -> making sieve job for q = 2699998 in 2699998 .. 2716664 as file 25552_168.job.T3
Mon May 09 12:39:15 2022 -> making sieve job for q = 2716664 in 2716664 .. 2733330 as file 25552_168.job.T4
Mon May 09 12:39:15 2022 -> making sieve job for q = 2733330 in 2733330 .. 2749996 as file 25552_168.job.T5
Mon May 09 12:39:15 2022 -> Lattice sieving rational q from 2650000 to 2750000.
Mon May 09 12:39:15 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:39:15 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:39:15 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:39:15 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:39:15 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:39:15 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 12:46:26 2022 Found 2539760 relations, 24.6% of the estimated minimum (10334410).
Mon May 09 12:46:26 2022 LatSieveTime: 430.422
Mon May 09 12:46:26 2022 -> making sieve job for q = 2750000 in 2750000 .. 2766666 as file 25552_168.job.T0
Mon May 09 12:46:26 2022 -> making sieve job for q = 2766666 in 2766666 .. 2783332 as file 25552_168.job.T1
Mon May 09 12:46:26 2022 -> making sieve job for q = 2783332 in 2783332 .. 2799998 as file 25552_168.job.T2
Mon May 09 12:46:26 2022 -> making sieve job for q = 2799998 in 2799998 .. 2816664 as file 25552_168.job.T3
Mon May 09 12:46:26 2022 -> making sieve job for q = 2816664 in 2816664 .. 2833330 as file 25552_168.job.T4
Mon May 09 12:46:26 2022 -> making sieve job for q = 2833330 in 2833330 .. 2849996 as file 25552_168.job.T5
Mon May 09 12:46:26 2022 -> Lattice sieving rational q from 2750000 to 2850000.
Mon May 09 12:46:26 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:46:26 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:46:26 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:46:26 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:46:26 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:46:26 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 12:53:31 2022 Found 3058116 relations, 29.6% of the estimated minimum (10334410).
Mon May 09 12:53:31 2022 LatSieveTime: 425.781
Mon May 09 12:53:31 2022 -> making sieve job for q = 2850000 in 2850000 .. 2866666 as file 25552_168.job.T0
Mon May 09 12:53:31 2022 -> making sieve job for q = 2866666 in 2866666 .. 2883332 as file 25552_168.job.T1
Mon May 09 12:53:31 2022 -> making sieve job for q = 2883332 in 2883332 .. 2899998 as file 25552_168.job.T2
Mon May 09 12:53:31 2022 -> making sieve job for q = 2899998 in 2899998 .. 2916664 as file 25552_168.job.T3
Mon May 09 12:53:31 2022 -> making sieve job for q = 2916664 in 2916664 .. 2933330 as file 25552_168.job.T4
Mon May 09 12:53:31 2022 -> making sieve job for q = 2933330 in 2933330 .. 2949996 as file 25552_168.job.T5
Mon May 09 12:53:31 2022 -> Lattice sieving rational q from 2850000 to 2950000.
Mon May 09 12:53:31 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 12:53:31 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 12:53:31 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 12:53:31 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 12:53:31 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 12:53:31 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:00:57 2022 Found 3568533 relations, 34.5% of the estimated minimum (10334410).
Mon May 09 13:00:57 2022 LatSieveTime: 446.165
Mon May 09 13:00:57 2022 -> making sieve job for q = 2950000 in 2950000 .. 2966666 as file 25552_168.job.T0
Mon May 09 13:00:57 2022 -> making sieve job for q = 2966666 in 2966666 .. 2983332 as file 25552_168.job.T1
Mon May 09 13:00:57 2022 -> making sieve job for q = 2983332 in 2983332 .. 2999998 as file 25552_168.job.T2
Mon May 09 13:00:57 2022 -> making sieve job for q = 2999998 in 2999998 .. 3016664 as file 25552_168.job.T3
Mon May 09 13:00:57 2022 -> making sieve job for q = 3016664 in 3016664 .. 3033330 as file 25552_168.job.T4
Mon May 09 13:00:57 2022 -> making sieve job for q = 3033330 in 3033330 .. 3049996 as file 25552_168.job.T5
Mon May 09 13:00:57 2022 -> Lattice sieving rational q from 2950000 to 3050000.
Mon May 09 13:00:57 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:00:57 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:00:57 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:00:57 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:00:57 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:00:57 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:08:24 2022 Found 4081640 relations, 39.5% of the estimated minimum (10334410).
Mon May 09 13:08:24 2022 LatSieveTime: 446.856
Mon May 09 13:08:24 2022 -> making sieve job for q = 3050000 in 3050000 .. 3066666 as file 25552_168.job.T0
Mon May 09 13:08:24 2022 -> making sieve job for q = 3066666 in 3066666 .. 3083332 as file 25552_168.job.T1
Mon May 09 13:08:24 2022 -> making sieve job for q = 3083332 in 3083332 .. 3099998 as file 25552_168.job.T2
Mon May 09 13:08:24 2022 -> making sieve job for q = 3099998 in 3099998 .. 3116664 as file 25552_168.job.T3
Mon May 09 13:08:24 2022 -> making sieve job for q = 3116664 in 3116664 .. 3133330 as file 25552_168.job.T4
Mon May 09 13:08:24 2022 -> making sieve job for q = 3133330 in 3133330 .. 3149996 as file 25552_168.job.T5
Mon May 09 13:08:24 2022 -> Lattice sieving rational q from 3050000 to 3150000.
Mon May 09 13:08:24 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:08:24 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:08:24 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:08:24 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:08:24 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:08:24 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:16:20 2022 Found 4598238 relations, 44.5% of the estimated minimum (10334410).
Mon May 09 13:16:20 2022 LatSieveTime: 475.45
Mon May 09 13:16:20 2022 -> making sieve job for q = 3150000 in 3150000 .. 3166666 as file 25552_168.job.T0
Mon May 09 13:16:20 2022 -> making sieve job for q = 3166666 in 3166666 .. 3183332 as file 25552_168.job.T1
Mon May 09 13:16:20 2022 -> making sieve job for q = 3183332 in 3183332 .. 3199998 as file 25552_168.job.T2
Mon May 09 13:16:20 2022 -> making sieve job for q = 3199998 in 3199998 .. 3216664 as file 25552_168.job.T3
Mon May 09 13:16:20 2022 -> making sieve job for q = 3216664 in 3216664 .. 3233330 as file 25552_168.job.T4
Mon May 09 13:16:20 2022 -> making sieve job for q = 3233330 in 3233330 .. 3249996 as file 25552_168.job.T5
Mon May 09 13:16:20 2022 -> Lattice sieving rational q from 3150000 to 3250000.
Mon May 09 13:16:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:16:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:16:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:16:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:16:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:16:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:24:04 2022 Found 5117518 relations, 49.5% of the estimated minimum (10334410).
Mon May 09 13:24:04 2022 LatSieveTime: 464.577
Mon May 09 13:24:04 2022 -> making sieve job for q = 3250000 in 3250000 .. 3266666 as file 25552_168.job.T0
Mon May 09 13:24:04 2022 -> making sieve job for q = 3266666 in 3266666 .. 3283332 as file 25552_168.job.T1
Mon May 09 13:24:04 2022 -> making sieve job for q = 3283332 in 3283332 .. 3299998 as file 25552_168.job.T2
Mon May 09 13:24:04 2022 -> making sieve job for q = 3299998 in 3299998 .. 3316664 as file 25552_168.job.T3
Mon May 09 13:24:04 2022 -> making sieve job for q = 3316664 in 3316664 .. 3333330 as file 25552_168.job.T4
Mon May 09 13:24:04 2022 -> making sieve job for q = 3333330 in 3333330 .. 3349996 as file 25552_168.job.T5
Mon May 09 13:24:04 2022 -> Lattice sieving rational q from 3250000 to 3350000.
Mon May 09 13:24:04 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:24:04 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:24:04 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:24:04 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:24:04 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:24:04 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:31:20 2022 Found 5631519 relations, 54.5% of the estimated minimum (10334410).
Mon May 09 13:31:20 2022 LatSieveTime: 435.356
Mon May 09 13:31:20 2022 -> making sieve job for q = 3350000 in 3350000 .. 3366666 as file 25552_168.job.T0
Mon May 09 13:31:20 2022 -> making sieve job for q = 3366666 in 3366666 .. 3383332 as file 25552_168.job.T1
Mon May 09 13:31:20 2022 -> making sieve job for q = 3383332 in 3383332 .. 3399998 as file 25552_168.job.T2
Mon May 09 13:31:20 2022 -> making sieve job for q = 3399998 in 3399998 .. 3416664 as file 25552_168.job.T3
Mon May 09 13:31:20 2022 -> making sieve job for q = 3416664 in 3416664 .. 3433330 as file 25552_168.job.T4
Mon May 09 13:31:20 2022 -> making sieve job for q = 3433330 in 3433330 .. 3449996 as file 25552_168.job.T5
Mon May 09 13:31:20 2022 -> Lattice sieving rational q from 3350000 to 3450000.
Mon May 09 13:31:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:31:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:31:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:31:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:31:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:31:20 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:38:47 2022 Found 6148594 relations, 59.5% of the estimated minimum (10334410).
Mon May 09 13:38:47 2022 LatSieveTime: 446.805
Mon May 09 13:38:47 2022 -> making sieve job for q = 3450000 in 3450000 .. 3466666 as file 25552_168.job.T0
Mon May 09 13:38:47 2022 -> making sieve job for q = 3466666 in 3466666 .. 3483332 as file 25552_168.job.T1
Mon May 09 13:38:47 2022 -> making sieve job for q = 3483332 in 3483332 .. 3499998 as file 25552_168.job.T2
Mon May 09 13:38:47 2022 -> making sieve job for q = 3499998 in 3499998 .. 3516664 as file 25552_168.job.T3
Mon May 09 13:38:47 2022 -> making sieve job for q = 3516664 in 3516664 .. 3533330 as file 25552_168.job.T4
Mon May 09 13:38:47 2022 -> making sieve job for q = 3533330 in 3533330 .. 3549996 as file 25552_168.job.T5
Mon May 09 13:38:47 2022 -> Lattice sieving rational q from 3450000 to 3550000.
Mon May 09 13:38:47 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:38:47 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:38:47 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:38:47 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:38:47 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:38:47 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:46:08 2022 Found 6652107 relations, 64.4% of the estimated minimum (10334410).
Mon May 09 13:46:08 2022 LatSieveTime: 441.662
Mon May 09 13:46:08 2022 -> making sieve job for q = 3550000 in 3550000 .. 3566666 as file 25552_168.job.T0
Mon May 09 13:46:08 2022 -> making sieve job for q = 3566666 in 3566666 .. 3583332 as file 25552_168.job.T1
Mon May 09 13:46:08 2022 -> making sieve job for q = 3583332 in 3583332 .. 3599998 as file 25552_168.job.T2
Mon May 09 13:46:08 2022 -> making sieve job for q = 3599998 in 3599998 .. 3616664 as file 25552_168.job.T3
Mon May 09 13:46:08 2022 -> making sieve job for q = 3616664 in 3616664 .. 3633330 as file 25552_168.job.T4
Mon May 09 13:46:08 2022 -> making sieve job for q = 3633330 in 3633330 .. 3649996 as file 25552_168.job.T5
Mon May 09 13:46:08 2022 -> Lattice sieving rational q from 3550000 to 3650000.
Mon May 09 13:46:08 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:46:08 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:46:08 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:46:08 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:46:08 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:46:08 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 13:54:09 2022 Found 7167024 relations, 69.4% of the estimated minimum (10334410).
Mon May 09 13:54:09 2022 LatSieveTime: 480.456
Mon May 09 13:54:09 2022 -> making sieve job for q = 3650000 in 3650000 .. 3666666 as file 25552_168.job.T0
Mon May 09 13:54:09 2022 -> making sieve job for q = 3666666 in 3666666 .. 3683332 as file 25552_168.job.T1
Mon May 09 13:54:09 2022 -> making sieve job for q = 3683332 in 3683332 .. 3699998 as file 25552_168.job.T2
Mon May 09 13:54:09 2022 -> making sieve job for q = 3699998 in 3699998 .. 3716664 as file 25552_168.job.T3
Mon May 09 13:54:09 2022 -> making sieve job for q = 3716664 in 3716664 .. 3733330 as file 25552_168.job.T4
Mon May 09 13:54:09 2022 -> making sieve job for q = 3733330 in 3733330 .. 3749996 as file 25552_168.job.T5
Mon May 09 13:54:09 2022 -> Lattice sieving rational q from 3650000 to 3750000.
Mon May 09 13:54:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 13:54:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 13:54:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 13:54:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 13:54:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 13:54:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:02:02 2022 Found 7680367 relations, 74.3% of the estimated minimum (10334410).
Mon May 09 14:02:02 2022 LatSieveTime: 473.649
Mon May 09 14:02:02 2022 -> making sieve job for q = 3750000 in 3750000 .. 3766666 as file 25552_168.job.T0
Mon May 09 14:02:02 2022 -> making sieve job for q = 3766666 in 3766666 .. 3783332 as file 25552_168.job.T1
Mon May 09 14:02:02 2022 -> making sieve job for q = 3783332 in 3783332 .. 3799998 as file 25552_168.job.T2
Mon May 09 14:02:02 2022 -> making sieve job for q = 3799998 in 3799998 .. 3816664 as file 25552_168.job.T3
Mon May 09 14:02:02 2022 -> making sieve job for q = 3816664 in 3816664 .. 3833330 as file 25552_168.job.T4
Mon May 09 14:02:02 2022 -> making sieve job for q = 3833330 in 3833330 .. 3849996 as file 25552_168.job.T5
Mon May 09 14:02:02 2022 -> Lattice sieving rational q from 3750000 to 3850000.
Mon May 09 14:02:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 14:02:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 14:02:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 14:02:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 14:02:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 14:02:02 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:09:29 2022 Found 8188532 relations, 79.2% of the estimated minimum (10334410).
Mon May 09 14:09:29 2022 LatSieveTime: 446.526
Mon May 09 14:09:29 2022 -> making sieve job for q = 3850000 in 3850000 .. 3866666 as file 25552_168.job.T0
Mon May 09 14:09:29 2022 -> making sieve job for q = 3866666 in 3866666 .. 3883332 as file 25552_168.job.T1
Mon May 09 14:09:29 2022 -> making sieve job for q = 3883332 in 3883332 .. 3899998 as file 25552_168.job.T2
Mon May 09 14:09:29 2022 -> making sieve job for q = 3899998 in 3899998 .. 3916664 as file 25552_168.job.T3
Mon May 09 14:09:29 2022 -> making sieve job for q = 3916664 in 3916664 .. 3933330 as file 25552_168.job.T4
Mon May 09 14:09:29 2022 -> making sieve job for q = 3933330 in 3933330 .. 3949996 as file 25552_168.job.T5
Mon May 09 14:09:29 2022 -> Lattice sieving rational q from 3850000 to 3950000.
Mon May 09 14:09:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 14:09:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 14:09:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 14:09:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 14:09:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 14:09:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:17:01 2022 Found 8696221 relations, 84.1% of the estimated minimum (10334410).
Mon May 09 14:17:01 2022 LatSieveTime: 451.869
Mon May 09 14:17:01 2022 -> making sieve job for q = 3950000 in 3950000 .. 3966666 as file 25552_168.job.T0
Mon May 09 14:17:01 2022 -> making sieve job for q = 3966666 in 3966666 .. 3983332 as file 25552_168.job.T1
Mon May 09 14:17:01 2022 -> making sieve job for q = 3983332 in 3983332 .. 3999998 as file 25552_168.job.T2
Mon May 09 14:17:01 2022 -> making sieve job for q = 3999998 in 3999998 .. 4016664 as file 25552_168.job.T3
Mon May 09 14:17:01 2022 -> making sieve job for q = 4016664 in 4016664 .. 4033330 as file 25552_168.job.T4
Mon May 09 14:17:01 2022 -> making sieve job for q = 4033330 in 4033330 .. 4049996 as file 25552_168.job.T5
Mon May 09 14:17:01 2022 -> Lattice sieving rational q from 3950000 to 4050000.
Mon May 09 14:17:01 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 14:17:01 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 14:17:01 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 14:17:01 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 14:17:01 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 14:17:01 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:24:41 2022 Found 9200101 relations, 89.0% of the estimated minimum (10334410).
Mon May 09 14:24:41 2022 LatSieveTime: 460.061
Mon May 09 14:24:41 2022 -> making sieve job for q = 4050000 in 4050000 .. 4066666 as file 25552_168.job.T0
Mon May 09 14:24:41 2022 -> making sieve job for q = 4066666 in 4066666 .. 4083332 as file 25552_168.job.T1
Mon May 09 14:24:41 2022 -> making sieve job for q = 4083332 in 4083332 .. 4099998 as file 25552_168.job.T2
Mon May 09 14:24:41 2022 -> making sieve job for q = 4099998 in 4099998 .. 4116664 as file 25552_168.job.T3
Mon May 09 14:24:41 2022 -> making sieve job for q = 4116664 in 4116664 .. 4133330 as file 25552_168.job.T4
Mon May 09 14:24:41 2022 -> making sieve job for q = 4133330 in 4133330 .. 4149996 as file 25552_168.job.T5
Mon May 09 14:24:41 2022 -> Lattice sieving rational q from 4050000 to 4150000.
Mon May 09 14:24:41 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 14:24:41 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 14:24:41 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 14:24:41 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 14:24:41 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 14:24:41 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:32:16 2022 Found 9698345 relations, 93.8% of the estimated minimum (10334410).
Mon May 09 14:32:16 2022 LatSieveTime: 455.219
Mon May 09 14:32:16 2022 -> making sieve job for q = 4150000 in 4150000 .. 4166666 as file 25552_168.job.T0
Mon May 09 14:32:16 2022 -> making sieve job for q = 4166666 in 4166666 .. 4183332 as file 25552_168.job.T1
Mon May 09 14:32:16 2022 -> making sieve job for q = 4183332 in 4183332 .. 4199998 as file 25552_168.job.T2
Mon May 09 14:32:16 2022 -> making sieve job for q = 4199998 in 4199998 .. 4216664 as file 25552_168.job.T3
Mon May 09 14:32:16 2022 -> making sieve job for q = 4216664 in 4216664 .. 4233330 as file 25552_168.job.T4
Mon May 09 14:32:16 2022 -> making sieve job for q = 4233330 in 4233330 .. 4249996 as file 25552_168.job.T5
Mon May 09 14:32:16 2022 -> Lattice sieving rational q from 4150000 to 4250000.
Mon May 09 14:32:16 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 14:32:16 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 14:32:16 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 14:32:16 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 14:32:16 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 14:32:16 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:39:56 2022 Found 10199921 relations, 98.7% of the estimated minimum (10334410).
Mon May 09 14:39:56 2022 LatSieveTime: 459.587
Mon May 09 14:39:56 2022 -> making sieve job for q = 4250000 in 4250000 .. 4266666 as file 25552_168.job.T0
Mon May 09 14:39:56 2022 -> making sieve job for q = 4266666 in 4266666 .. 4283332 as file 25552_168.job.T1
Mon May 09 14:39:56 2022 -> making sieve job for q = 4283332 in 4283332 .. 4299998 as file 25552_168.job.T2
Mon May 09 14:39:56 2022 -> making sieve job for q = 4299998 in 4299998 .. 4316664 as file 25552_168.job.T3
Mon May 09 14:39:56 2022 -> making sieve job for q = 4316664 in 4316664 .. 4333330 as file 25552_168.job.T4
Mon May 09 14:39:56 2022 -> making sieve job for q = 4333330 in 4333330 .. 4349996 as file 25552_168.job.T5
Mon May 09 14:39:56 2022 -> Lattice sieving rational q from 4250000 to 4350000.
Mon May 09 14:39:56 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 25552_168.job.T0
Mon May 09 14:39:56 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 25552_168.job.T1
Mon May 09 14:39:56 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 25552_168.job.T2
Mon May 09 14:39:56 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 25552_168.job.T3
Mon May 09 14:39:56 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 25552_168.job.T4
Mon May 09 14:39:56 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 25552_168.job.T5
Mon May 09 14:47:32 2022 Found 10695529 relations, 103.5% of the estimated minimum (10334410).
Mon May 09 14:47:32 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\25552_168\25552_168.dat -l ..\25552_168\25552_168.log -i ..\25552_168\25552_168.ini -nf ..\25552_168\25552_168.fb -t 6 -nc1
Mon May  9 14:47:32 2022  
Mon May  9 14:47:32 2022  
Mon May  9 14:47:32 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 14:47:32 2022  random seeds: e792f890 2d6b4591
Mon May  9 14:47:32 2022  factoring 190200364942028565436482641833674320616001641189929015818713479943538543383224648536590941579834576162104949548386393548219000122530073 (135 digits)
Mon May  9 14:47:33 2022  searching for 15-digit factors
Mon May  9 14:47:33 2022  commencing number field sieve (135-digit input)
Mon May  9 14:47:33 2022  R0: -1000000000000000000000000000000000
Mon May  9 14:47:33 2022  R1: 1
Mon May  9 14:47:33 2022  A0: -4
Mon May  9 14:47:33 2022  A1: 0
Mon May  9 14:47:33 2022  A2: 0
Mon May  9 14:47:33 2022  A3: 0
Mon May  9 14:47:33 2022  A4: 0
Mon May  9 14:47:33 2022  A5: 2875
Mon May  9 14:47:33 2022  skew 0.27, size 8.752e-12, alpha -0.566, combined = 3.025e-10 rroots = 1
Mon May  9 14:47:33 2022  
Mon May  9 14:47:33 2022  commencing relation filtering
Mon May  9 14:47:33 2022  estimated available RAM is 32684.9 MB
Mon May  9 14:47:33 2022  commencing duplicate removal, pass 1
Mon May  9 14:49:17 2022  found 1113214 hash collisions in 10695528 relations
Mon May  9 14:49:30 2022  added 372266 free relations
Mon May  9 14:49:30 2022  commencing duplicate removal, pass 2
Mon May  9 14:49:33 2022  found 847106 duplicates and 10220688 unique relations
Mon May  9 14:49:33 2022  memory use: 49.3 MB
Mon May  9 14:49:33 2022  reading ideals above 720000
Mon May  9 14:49:34 2022  commencing singleton removal, initial pass
Mon May  9 14:51:02 2022  memory use: 344.5 MB
Mon May  9 14:51:02 2022  reading all ideals from disk
Mon May  9 14:51:02 2022  memory use: 294.8 MB
Mon May  9 14:51:02 2022  commencing in-memory singleton removal
Mon May  9 14:51:03 2022  begin with 10220688 relations and 10950050 unique ideals
Mon May  9 14:51:06 2022  reduce to 4466956 relations and 4036670 ideals in 16 passes
Mon May  9 14:51:06 2022  max relations containing the same ideal: 72
Mon May  9 14:51:07 2022  removing 881779 relations and 734073 ideals in 147706 cliques
Mon May  9 14:51:07 2022  commencing in-memory singleton removal
Mon May  9 14:51:07 2022  begin with 3585177 relations and 4036670 unique ideals
Mon May  9 14:51:08 2022  reduce to 3431302 relations and 3142091 ideals in 10 passes
Mon May  9 14:51:08 2022  max relations containing the same ideal: 61
Mon May  9 14:51:09 2022  removing 688700 relations and 540994 ideals in 147706 cliques
Mon May  9 14:51:09 2022  commencing in-memory singleton removal
Mon May  9 14:51:09 2022  begin with 2742602 relations and 3142091 unique ideals
Mon May  9 14:51:10 2022  reduce to 2623562 relations and 2476895 ideals in 9 passes
Mon May  9 14:51:10 2022  max relations containing the same ideal: 49
Mon May  9 14:51:11 2022  removing 93494 relations and 81702 ideals in 11792 cliques
Mon May  9 14:51:11 2022  commencing in-memory singleton removal
Mon May  9 14:51:11 2022  begin with 2530068 relations and 2476895 unique ideals
Mon May  9 14:51:11 2022  reduce to 2527819 relations and 2392939 ideals in 6 passes
Mon May  9 14:51:11 2022  max relations containing the same ideal: 48
Mon May  9 14:51:11 2022  relations with 0 large ideals: 2935
Mon May  9 14:51:11 2022  relations with 1 large ideals: 2957
Mon May  9 14:51:11 2022  relations with 2 large ideals: 37388
Mon May  9 14:51:11 2022  relations with 3 large ideals: 193160
Mon May  9 14:51:11 2022  relations with 4 large ideals: 510742
Mon May  9 14:51:11 2022  relations with 5 large ideals: 750380
Mon May  9 14:51:11 2022  relations with 6 large ideals: 643711
Mon May  9 14:51:11 2022  relations with 7+ large ideals: 386546
Mon May  9 14:51:11 2022  commencing 2-way merge
Mon May  9 14:51:12 2022  reduce to 1490987 relation sets and 1356107 unique ideals
Mon May  9 14:51:12 2022  commencing full merge
Mon May  9 14:51:26 2022  memory use: 157.5 MB
Mon May  9 14:51:26 2022  found 744268 cycles, need 726307
Mon May  9 14:51:26 2022  weight of 726307 cycles is about 51026004 (70.25/cycle)
Mon May  9 14:51:26 2022  distribution of cycle lengths:
Mon May  9 14:51:26 2022  1 relations: 84241
Mon May  9 14:51:26 2022  2 relations: 76287
Mon May  9 14:51:26 2022  3 relations: 76607
Mon May  9 14:51:26 2022  4 relations: 72137
Mon May  9 14:51:26 2022  5 relations: 66636
Mon May  9 14:51:26 2022  6 relations: 60221
Mon May  9 14:51:26 2022  7 relations: 53399
Mon May  9 14:51:26 2022  8 relations: 46973
Mon May  9 14:51:26 2022  9 relations: 40561
Mon May  9 14:51:26 2022  10+ relations: 149245
Mon May  9 14:51:26 2022  heaviest cycle: 20 relations
Mon May  9 14:51:26 2022  commencing cycle optimization
Mon May  9 14:51:27 2022  start with 4423295 relations
Mon May  9 14:51:32 2022  pruned 107148 relations
Mon May  9 14:51:32 2022  memory use: 145.6 MB
Mon May  9 14:51:32 2022  distribution of cycle lengths:
Mon May  9 14:51:32 2022  1 relations: 84241
Mon May  9 14:51:32 2022  2 relations: 77943
Mon May  9 14:51:32 2022  3 relations: 79014
Mon May  9 14:51:32 2022  4 relations: 73992
Mon May  9 14:51:32 2022  5 relations: 68565
Mon May  9 14:51:32 2022  6 relations: 61341
Mon May  9 14:51:32 2022  7 relations: 54442
Mon May  9 14:51:32 2022  8 relations: 47256
Mon May  9 14:51:32 2022  9 relations: 40478
Mon May  9 14:51:32 2022  10+ relations: 139035
Mon May  9 14:51:32 2022  heaviest cycle: 20 relations
Mon May  9 14:51:32 2022  RelProcTime: 239
Mon May  9 14:51:32 2022  elapsed time 00:04:00
Mon May 09 14:51:32 2022 LatSieveTime: 696.483
Mon May 09 14:51:32 2022 -> Running matrix solving step ...
Mon May 09 14:51:32 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\25552_168\25552_168.dat -l ..\25552_168\25552_168.log -i ..\25552_168\25552_168.ini -nf ..\25552_168\25552_168.fb -t 6 -nc2
Mon May  9 14:51:32 2022  
Mon May  9 14:51:32 2022  
Mon May  9 14:51:32 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 14:51:32 2022  random seeds: c2d1b110 c3141188
Mon May  9 14:51:32 2022  factoring 190200364942028565436482641833674320616001641189929015818713479943538543383224648536590941579834576162104949548386393548219000122530073 (135 digits)
Mon May  9 14:51:33 2022  searching for 15-digit factors
Mon May  9 14:51:33 2022  commencing number field sieve (135-digit input)
Mon May  9 14:51:33 2022  R0: -1000000000000000000000000000000000
Mon May  9 14:51:33 2022  R1: 1
Mon May  9 14:51:33 2022  A0: -4
Mon May  9 14:51:33 2022  A1: 0
Mon May  9 14:51:33 2022  A2: 0
Mon May  9 14:51:33 2022  A3: 0
Mon May  9 14:51:33 2022  A4: 0
Mon May  9 14:51:33 2022  A5: 2875
Mon May  9 14:51:33 2022  skew 0.27, size 8.752e-12, alpha -0.566, combined = 3.025e-10 rroots = 1
Mon May  9 14:51:33 2022  
Mon May  9 14:51:33 2022  commencing linear algebra
Mon May  9 14:51:33 2022  read 726307 cycles
Mon May  9 14:51:34 2022  cycles contain 2424588 unique relations
Mon May  9 14:51:52 2022  read 2424588 relations
Mon May  9 14:51:54 2022  using 20 quadratic characters above 4294917295
Mon May  9 14:52:03 2022  building initial matrix
Mon May  9 14:52:19 2022  memory use: 300.0 MB
Mon May  9 14:52:20 2022  read 726307 cycles
Mon May  9 14:52:20 2022  matrix is 726129 x 726307 (217.7 MB) with weight 65762424 (90.54/col)
Mon May  9 14:52:20 2022  sparse part has weight 49083035 (67.58/col)
Mon May  9 14:52:23 2022  filtering completed in 2 passes
Mon May  9 14:52:23 2022  matrix is 725115 x 725292 (217.6 MB) with weight 65724691 (90.62/col)
Mon May  9 14:52:23 2022  sparse part has weight 49068965 (67.65/col)
Mon May  9 14:52:24 2022  matrix starts at (0, 0)
Mon May  9 14:52:24 2022  matrix is 725115 x 725292 (217.6 MB) with weight 65724691 (90.62/col)
Mon May  9 14:52:24 2022  sparse part has weight 49068965 (67.65/col)
Mon May  9 14:52:24 2022  saving the first 48 matrix rows for later
Mon May  9 14:52:24 2022  matrix includes 64 packed rows
Mon May  9 14:52:25 2022  matrix is 725067 x 725292 (207.1 MB) with weight 52088499 (71.82/col)
Mon May  9 14:52:25 2022  sparse part has weight 47025079 (64.84/col)
Mon May  9 14:52:25 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon May  9 14:52:27 2022  commencing Lanczos iteration (6 threads)
Mon May  9 14:52:27 2022  memory use: 164.0 MB
Mon May  9 14:52:28 2022  linear algebra at 0.4%, ETA 0h 3m
Mon May  9 14:57:57 2022  lanczos halted after 11467 iterations (dim = 725064)
Mon May  9 14:57:58 2022  recovered 37 nontrivial dependencies
Mon May  9 14:57:58 2022  BLanczosTime: 385
Mon May  9 14:57:58 2022  elapsed time 00:06:26
Mon May 09 14:57:58 2022 -> Running square root step ...
Mon May 09 14:57:58 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\25552_168\25552_168.dat -l ..\25552_168\25552_168.log -i ..\25552_168\25552_168.ini -nf ..\25552_168\25552_168.fb -t 6 -nc3
Mon May  9 14:57:58 2022  
Mon May  9 14:57:58 2022  
Mon May  9 14:57:58 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 14:57:58 2022  random seeds: e0a50e60 1c81183c
Mon May  9 14:57:58 2022  factoring 190200364942028565436482641833674320616001641189929015818713479943538543383224648536590941579834576162104949548386393548219000122530073 (135 digits)
Mon May  9 14:57:58 2022  searching for 15-digit factors
Mon May  9 14:57:59 2022  commencing number field sieve (135-digit input)
Mon May  9 14:57:59 2022  R0: -1000000000000000000000000000000000
Mon May  9 14:57:59 2022  R1: 1
Mon May  9 14:57:59 2022  A0: -4
Mon May  9 14:57:59 2022  A1: 0
Mon May  9 14:57:59 2022  A2: 0
Mon May  9 14:57:59 2022  A3: 0
Mon May  9 14:57:59 2022  A4: 0
Mon May  9 14:57:59 2022  A5: 2875
Mon May  9 14:57:59 2022  skew 0.27, size 8.752e-12, alpha -0.566, combined = 3.025e-10 rroots = 1
Mon May  9 14:57:59 2022  
Mon May  9 14:57:59 2022  commencing square root phase
Mon May  9 14:57:59 2022  reading relations for dependency 1
Mon May  9 14:57:59 2022  read 363137 cycles
Mon May  9 14:57:59 2022  cycles contain 1212200 unique relations
Mon May  9 14:58:09 2022  read 1212200 relations
Mon May  9 14:58:12 2022  multiplying 1212200 relations
Mon May  9 14:58:36 2022  multiply complete, coefficients have about 39.05 million bits
Mon May  9 14:58:36 2022  initial square root is modulo 404671
Mon May  9 14:59:04 2022  GCD is 1, no factor found
Mon May  9 14:59:04 2022  reading relations for dependency 2
Mon May  9 14:59:04 2022  read 362052 cycles
Mon May  9 14:59:04 2022  cycles contain 1210966 unique relations
Mon May  9 14:59:14 2022  read 1210966 relations
Mon May  9 14:59:17 2022  multiplying 1210966 relations
Mon May  9 14:59:40 2022  multiply complete, coefficients have about 39.01 million bits
Mon May  9 14:59:41 2022  initial square root is modulo 398941
Mon May  9 15:00:08 2022  sqrtTime: 129
Mon May  9 15:00:08 2022  p42 factor: 371944603338347995665906119214339553102321
Mon May  9 15:00:08 2022  p93 factor: 511367454279228813631498467054328174303390111575214208911344092490799309867956512242940991913
Mon May  9 15:00:08 2022  elapsed time 00:02:10
Mon May 09 15:00:08 2022 -> Computing time scale for this machine...
Mon May 09 15:00:08 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 15:15:44 UTC 2022 年 4 月 19 日 (火) 0 時 15 分 44 秒 (日本時間)

23×10170-329

c123

name 名前Eric Jeancolas
date 日付May 11, 2022 04:08:00 UTC 2022 年 5 月 11 日 (水) 13 時 8 分 0 秒 (日本時間)
composite number 合成数
135147120918606612490227408672586755620073794015170690318578037843478446189800191691894522794653227765466205930137462021039<123>
prime factors 素因数
106236242110630861703713715574078862903764080813<48>
1272137626798479285739364497895427276666199179396961235807165463887585232203<76>
factorization results 素因数分解の結果
135147120918606612490227408672586755620073794015170690318578037843478446189800191691894522794653227765466205930137462021039=106236242110630861703713715574078862903764080813*1272137626798479285739364497895427276666199179396961235807165463887585232203

cado polynomial
n: 135147120918606612490227408672586755620073794015170690318578037843478446189800191691894522794653227765466205930137462021039
skew: 1.07
type: snfs
c0: -32
c5: 23
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-32
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5000000
tasks.lim1 = 5000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 106236242110630861703713715574078862903764080813 1272137626798479285739364497895427276666199179396961235807165463887585232203
Info:Square Root: Total cpu/real time for sqrt: 137.06/43.8573
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.35/62.5585
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11619422
Info:Lattice Sieving: Average J: 1892.68 for 299943 special-q, max bucket fill -bkmult 1.0,1s:1.241450
Info:Lattice Sieving: Total time: 41538.9s
Info:Linear Algebra: Total cpu/real time for bwc: 5904.37/1519.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3702.7, WCT time 947.37, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Linear Algebra: Lingen CPU time 105.19, WCT time 26.75
Info:Linear Algebra: Mksol: CPU time 2002.32,  WCT time 511.86, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.27/17.2882
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.82/50.8731
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.09/93.5022
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.7s
Info:Filtering - Merging: Merged matrix has 622993 rows and total weight 106453280 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 134.71/38.0838
Info:Filtering - Merging: Total cpu/real time for replay: 21.99/18.2253
Info:Generate Factor Base: Total cpu/real time for makefb: 2.16/1.21798
Info:Quadratic Characters: Total cpu/real time for characters: 21.72/8.52042
Info:Square Root: Total cpu/real time for sqrt: 137.06/43.8573
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 83409.2/22824.1
Info:root: Cleaning up computation data in /tmp/cado.3ofiltnf
106236242110630861703713715574078862903764080813 1272137626798479285739364497895427276666199179396961235807165463887585232203
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 11:22:58 UTC 2022 年 4 月 18 日 (月) 20 時 22 分 58 秒 (日本時間)

23×10171-329

c127

name 名前Eric Jeancolas
date 日付May 11, 2022 07:01:01 UTC 2022 年 5 月 11 日 (水) 16 時 1 分 1 秒 (日本時間)
composite number 合成数
3676221612020656906357070658502826677511057196688783554292061939119179425792802745283523911235874384613254455660118314451794199<127>
prime factors 素因数
70459789127108643987346157546161967822059<41>
160088422412651221761026768245634673297253<42>
325912051422753848665811333586092345358200737<45>
factorization results 素因数分解の結果
3676221612020656906357070658502826677511057196688783554292061939119179425792802745283523911235874384613254455660118314451794199=70459789127108643987346157546161967822059*160088422412651221761026768245634673297253*325912051422753848665811333586092345358200737

cado polynomial
n: 3676221612020656906357070658502826677511057196688783554292061939119179425792802745283523911235874384613254455660118314451794199
skew: 0.67
type: snfs
c0: -16
c5: 115
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^5-16
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 160088422412651221761026768245634673297253 325912051422753848665811333586092345358200737 70459789127108643987346157546161967822059
Info:Square Root: Total cpu/real time for sqrt: 278.95/85.2488
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.88/49.6964
Info:Generate Free Relations: Total cpu/real time for freerel: 60.07/16.7819
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641259
Info:Lattice Sieving: Average J: 1893.33 for 337274 special-q, max bucket fill -bkmult 1.0,1s:1.241330
Info:Lattice Sieving: Total time: 45634.9s
Info:Linear Algebra: Total cpu/real time for bwc: 6778/1746.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4251.6, WCT time 1089.02, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Linear Algebra: Lingen CPU time 114.29, WCT time 29.07
Info:Linear Algebra: Mksol: CPU time 2310.54,  WCT time 591.74, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.59/52.34
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.2s
Info:Filtering - Merging: Merged matrix has 672483 rows and total weight 114418575 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 145.12/40.9063
Info:Filtering - Merging: Total cpu/real time for replay: 23.63/19.6649
Info:Generate Factor Base: Total cpu/real time for makefb: 2.25/1.20771
Info:Quadratic Characters: Total cpu/real time for characters: 23.25/9.17032
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.78/93.6901
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.6s
Info:Square Root: Total cpu/real time for sqrt: 278.95/85.2488
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 94294.4/6122.59
Info:root: Cleaning up computation data in /tmp/cado.egtwsmmn
160088422412651221761026768245634673297253 325912051422753848665811333586092345358200737 70459789127108643987346157546161967822059
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 11:23:37 UTC 2022 年 4 月 18 日 (月) 20 時 23 分 37 秒 (日本時間)

23×10172-329

c139

name 名前Eric Jeancolas
date 日付May 12, 2022 06:16:40 UTC 2022 年 5 月 12 日 (木) 15 時 16 分 40 秒 (日本時間)
composite number 合成数
3689862560040976525346075047142540437024511410853844037455186205966250022575681054865246428607965963204352234353288730031863491943778200163<139>
prime factors 素因数
83331235815852486295169287833518211183744834864697165345088789<62>
44279465243920418487414317288447702632687764152562270597321196015890067791767<77>
factorization results 素因数分解の結果
3689862560040976525346075047142540437024511410853844037455186205966250022575681054865246428607965963204352234353288730031863491943778200163=83331235815852486295169287833518211183744834864697165345088789*44279465243920418487414317288447702632687764152562270597321196015890067791767

cado polynomial
n: 3689862560040976525346075047142540437024511410853844037455186205966250022575681054865246428607965963204352234353288730031863491943778200163
skew: 0.43
type: snfs
c0: -8
c5: 575
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 575*x^5-8
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5300000
tasks.lim1 = 5300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 44279465243920418487414317288447702632687764152562270597321196015890067791767 83331235815852486295169287833518211183744834864697165345088789
Info:Square Root: Total cpu/real time for sqrt: 197.67/62.8084
Info:Filtering - Singleton removal: Total cpu/real time for purge: 49.39/56.7568
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11642793
Info:Lattice Sieving: Average J: 1892.35 for 419139 special-q, max bucket fill -bkmult 1.0,1s:1.177400
Info:Lattice Sieving: Total time: 57211.6s
Info:Linear Algebra: Total cpu/real time for bwc: 9889.6/2545.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6241.33, WCT time 1599.75, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.74, WCT time 36.81
Info:Linear Algebra: Mksol: CPU time 3378.27,  WCT time 863.66, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.31/17.6962
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.89/51.4155
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.05/88.9126
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.5s
Info:Filtering - Merging: Merged matrix has 802387 rows and total weight 136932669 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 184.38/51.8316
Info:Filtering - Merging: Total cpu/real time for replay: 29.12/24.4245
Info:Generate Factor Base: Total cpu/real time for makefb: 2.28/1.25286
Info:Quadratic Characters: Total cpu/real time for characters: 29.09/11.4254
Info:Square Root: Total cpu/real time for sqrt: 197.67/62.8084
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 116628/31733.3
Info:root: Cleaning up computation data in /tmp/cado.3lf3jedj
44279465243920418487414317288447702632687764152562270597321196015890067791767 83331235815852486295169287833518211183744834864697165345088789
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 11:34:50 UTC 2022 年 4 月 18 日 (月) 20 時 34 分 50 秒 (日本時間)

23×10174-329

c124

name 名前Eric Jeancolas
date 日付May 13, 2022 07:25:18 UTC 2022 年 5 月 13 日 (金) 16 時 25 分 18 秒 (日本時間)
composite number 合成数
2490641834072308460470008770170346410281480072311451025045687845503540333720647904151862704823105311907557689975174527823021<124>
prime factors 素因数
39730539116587727473654113880528975805923<41>
62688347287803382458662441029653483462925078774647770078082144148362037985163079727<83>
factorization results 素因数分解の結果
2490641834072308460470008770170346410281480072311451025045687845503540333720647904151862704823105311907557689975174527823021=39730539116587727473654113880528975805923*62688347287803382458662441029653483462925078774647770078082144148362037985163079727

cado polynomial
n: 2490641834072308460470008770170346410281480072311451025045687845503540333720647904151862704823105311907557689975174527823021
skew: 0.85
type: snfs
c0: -10
c5: 23
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-10
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5700000
tasks.lim1 = 5700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 39730539116587727473654113880528975805923 62688347287803382458662441029653483462925078774647770078082144148362037985163079727
Info:Square Root: Total cpu/real time for sqrt: 206.31/66.3659
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.83/124.756
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12053517
Info:Lattice Sieving: Average J: 1892.71 for 529587 special-q, max bucket fill -bkmult 1.0,1s:1.145580
Info:Lattice Sieving: Total time: 72937.6s
Info:Linear Algebra: Total cpu/real time for bwc: 12413.5/3190.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7840.35, WCT time 2006.19, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Linear Algebra: Lingen CPU time 157.13, WCT time 39.95
Info:Linear Algebra: Mksol: CPU time 4272.79,  WCT time 1091.66, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.08/51.5065
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 159.64/152.682
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 125.10000000000002s
Info:Filtering - Merging: Merged matrix has 890915 rows and total weight 152470485 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 206.09/58.0019
Info:Filtering - Merging: Total cpu/real time for replay: 33.07/27.5506
Info:Generate Factor Base: Total cpu/real time for makefb: 2.43/1.33232
Info:Quadratic Characters: Total cpu/real time for characters: 31.74/12.4783
Info:Square Root: Total cpu/real time for sqrt: 206.31/66.3659
Info:Generate Free Relations: Total cpu/real time for freerel: 59.37/16.5822
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 149153/33932.4
Info:root: Cleaning up computation data in /tmp/cado.foyts9vp
39730539116587727473654113880528975805923 62688347287803382458662441029653483462925078774647770078082144148362037985163079727
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 11:45:41 UTC 2022 年 4 月 18 日 (月) 20 時 45 分 41 秒 (日本時間)

23×10175-329

c127

name 名前Taiyo Kodama
date 日付May 13, 2022 07:42:10 UTC 2022 年 5 月 13 日 (金) 16 時 42 分 10 秒 (日本時間)
composite number 合成数
1219551516629574697826528863249068316134624983567134735650929611695446785753830467742774028126442171607567354883452221887510841<127>
prime factors 素因数
1370283868290385740650802953968731906397369<43>
889999178163813592598481877305108892194473370130270356465389558608292968547217705089<84>
factorization results 素因数分解の結果
Fri May 13 16:36:23 2022  Msieve v. 1.53 (SVN unknown)
Fri May 13 16:36:23 2022  random seeds: 9a221924 925e11c6
Fri May 13 16:36:23 2022  factoring 1219551516629574697826528863249068316134624983567134735650929611695446785753830467742774028126442171607567354883452221887510841 (127 digits)
Fri May 13 16:36:23 2022  searching for 15-digit factors
Fri May 13 16:36:23 2022  commencing number field sieve (127-digit input)
Fri May 13 16:36:23 2022  R0: -100000000000000000000000000000000000
Fri May 13 16:36:23 2022  R1: 1
Fri May 13 16:36:23 2022  A0: -32
Fri May 13 16:36:23 2022  A1: 0
Fri May 13 16:36:23 2022  A2: 0
Fri May 13 16:36:23 2022  A3: 0
Fri May 13 16:36:23 2022  A4: 0
Fri May 13 16:36:23 2022  A5: 23
Fri May 13 16:36:23 2022  skew 1.07, size 4.420e-12, alpha -1.056, combined = 1.960e-10 rroots = 1
Fri May 13 16:36:23 2022  
Fri May 13 16:36:23 2022  commencing square root phase
Fri May 13 16:36:23 2022  reading relations for dependency 1
Fri May 13 16:36:24 2022  read 550016 cycles
Fri May 13 16:36:24 2022  cycles contain 1938324 unique relations
Fri May 13 16:36:39 2022  read 1938324 relations
Fri May 13 16:36:44 2022  multiplying 1938324 relations
Fri May 13 16:37:14 2022  multiply complete, coefficients have about 51.34 million bits
Fri May 13 16:37:15 2022  initial square root is modulo 23489951
Fri May 13 16:37:52 2022  GCD is N, no factor found
Fri May 13 16:37:52 2022  reading relations for dependency 2
Fri May 13 16:37:52 2022  read 550226 cycles
Fri May 13 16:37:53 2022  cycles contain 1938038 unique relations
Fri May 13 16:38:08 2022  read 1938038 relations
Fri May 13 16:38:13 2022  multiplying 1938038 relations
Fri May 13 16:38:44 2022  multiply complete, coefficients have about 51.33 million bits
Fri May 13 16:38:45 2022  initial square root is modulo 23411501
Fri May 13 16:39:23 2022  GCD is 1, no factor found
Fri May 13 16:39:23 2022  reading relations for dependency 3
Fri May 13 16:39:24 2022  read 549969 cycles
Fri May 13 16:39:24 2022  cycles contain 1939666 unique relations
Fri May 13 16:39:39 2022  read 1939666 relations
Fri May 13 16:39:45 2022  multiplying 1939666 relations
Fri May 13 16:40:15 2022  multiply complete, coefficients have about 51.37 million bits
Fri May 13 16:40:15 2022  initial square root is modulo 23738081
Fri May 13 16:40:53 2022  sqrtTime: 270
Fri May 13 16:40:53 2022  p43 factor: 1370283868290385740650802953968731906397369
Fri May 13 16:40:53 2022  p84 factor: 889999178163813592598481877305108892194473370130270356465389558608292968547217705089
Fri May 13 16:40:53 2022  elapsed time 00:04:30
Fri May 13 16:40:53 2022 -> Computing time scale for this machine...
Fri May 13 16:40:53 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 14:15:05 UTC 2022 年 4 月 17 日 (日) 23 時 15 分 5 秒 (日本時間)

23×10177-329

c167

name 名前Bob Backstrom
date 日付April 16, 2022 07:04:23 UTC 2022 年 4 月 16 日 (土) 16 時 4 分 23 秒 (日本時間)
composite number 合成数
95228793109773386577600490131594655978901856119782226336227977419613032309382724534479801670435400972647721196981218560602322668911931999153788531169701553848767014943<167>
prime factors 素因数
53998811367257292568937361623314077906310094795151087340846301952514673<71>
1763534987133370433886092029686700817213347574310969597497895078893700844432980004044489873838991<97>
factorization results 素因数分解の結果
Number: n
N=95228793109773386577600490131594655978901856119782226336227977419613032309382724534479801670435400972647721196981218560602322668911931999153788531169701553848767014943  ( 167 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sat Apr 16 16:58:01 2022  p71 factor: 53998811367257292568937361623314077906310094795151087340846301952514673
Sat Apr 16 16:58:01 2022  p97 factor: 1763534987133370433886092029686700817213347574310969597497895078893700844432980004044489873838991
Sat Apr 16 16:58:01 2022  elapsed time 00:17:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 23x10^177-32 = 25(176)2
#
n: 95228793109773386577600490131594655978901856119782226336227977419613032309382724534479801670435400972647721196981218560602322668911931999153788531169701553848767014943
m: 100000000000000000000000000000000000
deg: 5
c5: 575
c0: -8
skew: 0.43
# Murphy_E = 1.415e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3915165 hash collisions in 30597820 relations (28386154 unique)
Msieve: matrix is 809536 x 809761 (275.9 MB)

Sieving start time : 2022/04/16 14:37:14
Sieving end time  : 2022/04/16 16:39:25

Total sieving time: 2hrs 2min 11secs.

Total relation processing time: 0hrs 9min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10181-329

c127

name 名前Eric Jeancolas
date 日付May 15, 2022 05:36:57 UTC 2022 年 5 月 15 日 (日) 14 時 36 分 57 秒 (日本時間)
composite number 合成数
2196939013068702848821004816355229220313541659550242613661283528265185559579459250620077353602002496214685229849261411593074081<127>
prime factors 素因数
39160530757848497793846390243603555183047191<44>
56100848751351396358771602328830018481425482693948900172945962098671714166755606791<83>
factorization results 素因数分解の結果
2196939013068702848821004816355229220313541659550242613661283528265185559579459250620077353602002496214685229849261411593074081=39160530757848497793846390243603555183047191*56100848751351396358771602328830018481425482693948900172945962098671714166755606791

cado polynomial
n: 2196939013068702848821004816355229220313541659550242613661283528265185559579459250620077353602002496214685229849261411593074081
skew: 47908.291
c0: 15872608419135028762513990370
c1: -23903201086849179940835
c2: -2410566999414462052
c3: -325818568176811
c4: 3887641736
c5: 83280
Y0: -2538206412049723493095818
Y1: 88291638297395173
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.250e-07
# f(x) = 83280*x^5+3887641736*x^4-325818568176811*x^3-2410566999414462052*x^2-23903201086849179940835*x+15872608419135028762513990370
# g(x) = 88291638297395173*x-2538206412049723493095818

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

cado log (extracts)
Info:Square Root: Factors: 39160530757848497793846390243603555183047191 56100848751351396358771602328830018481425482693948900172945962098671714166755606791
Info:Square Root: Total cpu/real time for sqrt: 289.22/85.8015
Info:Filtering - Singleton removal: Total cpu/real time for purge: 162.86/186.99
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12495318
Info:Lattice Sieving: Average J: 3803.05 for 273954 special-q, max bucket fill -bkmult 1.0,1s:1.168190
Info:Lattice Sieving: Total time: 78655.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.57/2.28506
Info:Linear Algebra: Total cpu/real time for bwc: 10309.3/2657.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6504.55, WCT time 1673.57, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 143.3, WCT time 36.45
Info:Linear Algebra: Mksol: CPU time 3531.45,  WCT time 900.36, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.36/32.42
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.23/60.7724
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2957.79
Info:Polynomial Selection (root optimized): Rootsieve time: 2955.33
Info:Filtering - Merging: Merged matrix has 821550 rows and total weight 139930975 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 173.53/49.4948
Info:Filtering - Merging: Total cpu/real time for replay: 30.37/25.1219
Info:Quadratic Characters: Total cpu/real time for characters: 30.25/11.9751
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): 20045/38.530/45.018/50.400/0.859
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15849/35.910/40.415/45.830/1.021
Info:Polynomial Selection (size optimized): Total time: 1938.48
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.7/219.144
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.79999999999998s
Info:Square Root: Total cpu/real time for sqrt: 289.22/85.8015
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 162653/43927.7
Info:root: Cleaning up computation data in /tmp/cado.smj0c8i8
39160530757848497793846390243603555183047191 56100848751351396358771602328830018481425482693948900172945962098671714166755606791
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:06:54 UTC 2022 年 4 月 18 日 (月) 1 時 6 分 54 秒 (日本時間)

23×10182-329

c97

name 名前Ignacio Santos
date 日付April 14, 2022 15:26:09 UTC 2022 年 4 月 15 日 (金) 0 時 26 分 9 秒 (日本時間)
composite number 合成数
2816110521362785444544178596712575949964131608055969845872051101071633735051310353138510239274773<97>
prime factors 素因数
21716996986690961972081304831347816817296369<44>
129673109182112507813459056530879981691723245026908517<54>
factorization results 素因数分解の結果
prp54 = 129673109182112507813459056530879981691723245026908517
prp44 = 21716996986690961972081304831347816817296369
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10184-329

c143

name 名前Eric Jeancolas
date 日付July 20, 2022 16:46:16 UTC 2022 年 7 月 21 日 (木) 1 時 46 分 16 秒 (日本時間)
composite number 合成数
16025787453304487192940820812572966134194329231674712302136597544756738808918267897664404307644128795237154232533895440083455954066854600655441<143>
prime factors 素因数
90933887989861551870423313504250414403549361698569149<53>
176235590576433315889729732887967404777938829990965812179108943372575801113209507670351909<90>
factorization results 素因数分解の結果
16025787453304487192940820812572966134194329231674712302136597544756738808918267897664404307644128795237154232533895440083455954066854600655441=90933887989861551870423313504250414403549361698569149*176235590576433315889729732887967404777938829990965812179108943372575801113209507670351909

cado polynomial
n: 16025787453304487192940820812572966134194329231674712302136597544756738808918267897664404307644128795237154232533895440083455954066854600655441
skew: 0.85
type: snfs
c0: -10
c5: 23
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-10
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8400000
tasks.lim1 = 8400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 176235590576433315889729732887967404777938829990965812179108943372575801113209507670351909 90933887989861551870423313504250414403549361698569149
Info:Square Root: Total cpu/real time for sqrt: 410.82/135.222
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.75/102.459
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410143
Info:Lattice Sieving: Average J: 1894.12 for 1032434 special-q, max bucket fill -bkmult 1.0,1s:1.158220
Info:Lattice Sieving: Total time: 185762s
Info:Linear Algebra: Total cpu/real time for bwc: 38817.4/10012.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24779.79, WCT time 6359.06, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48128 iterations)
Info:Linear Algebra: Lingen CPU time 295.1, WCT time 75.12
Info:Linear Algebra: Mksol: CPU time 13469.51,  WCT time 3469.99, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.94/32.3406
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.57/102.719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 220.1/186.799
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 170.60000000000002s
Info:Filtering - Merging: Merged matrix has 1538807 rows and total weight 261598612 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 403.59/112.552
Info:Filtering - Merging: Total cpu/real time for replay: 61.71/53.0208
Info:Generate Factor Base: Total cpu/real time for makefb: 3.58/2.03352
Info:Quadratic Characters: Total cpu/real time for characters: 57.82/23.87
Info:Square Root: Total cpu/real time for sqrt: 410.82/135.222
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 386686/104087
Info:root: Cleaning up computation data in /tmp/cado.adi7k04m
176235590576433315889729732887967404777938829990965812179108943372575801113209507670351909 90933887989861551870423313504250414403549361698569149
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:08:03 UTC 2022 年 4 月 18 日 (月) 1 時 8 分 3 秒 (日本時間)

23×10185-329

c149

name 名前Bob Backstrom
date 日付April 19, 2022 13:45:00 UTC 2022 年 4 月 19 日 (火) 22 時 45 分 0 秒 (日本時間)
composite number 合成数
33414755181395379516700608837180634965898940364334864034933204385287461193596538802583826858678379820774864955337609615418305106655574680049770130107<149>
prime factors 素因数
849387846841124882341229675424996862777<39>
39339808434586062791193849964363348263382384749791046073256350104762401746332879326730660315009542571063206291<110>
factorization results 素因数分解の結果
Number: n
N=33414755181395379516700608837180634965898940364334864034933204385287461193596538802583826858678379820774864955337609615418305106655574680049770130107  ( 149 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Apr 19 20:32:26 2022  p39 factor: 849387846841124882341229675424996862777
Tue Apr 19 20:32:26 2022  p110 factor: 39339808434586062791193849964363348263382384749791046073256350104762401746332879326730660315009542571063206291
Tue Apr 19 20:32:26 2022  elapsed time 00:21:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 23x10^185-32 = 25(184)2
#
n: 33414755181395379516700608837180634965898940364334864034933204385287461193596538802583826858678379820774864955337609615418305106655574680049770130107
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: -32
skew: 1.07
# Murphy_E = 7.717e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3070880 hash collisions in 30886362 relations (29803560 unique)
Msieve: matrix is 889756 x 889981 (306.4 MB)

Sieving start time : 2022/04/19 16:31:24
Sieving end time  : 2022/04/19 20:09:34

Total sieving time: 3hrs 38min 10secs.

Total relation processing time: 0hrs 12min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:10:04 UTC 2022 年 4 月 18 日 (月) 1 時 10 分 4 秒 (日本時間)

23×10186-329

c144

name 名前ebina
date 日付April 24, 2022 12:00:36 UTC 2022 年 4 月 24 日 (日) 21 時 0 分 36 秒 (日本時間)
composite number 合成数
448300898125796844885931841464658047220054902062587692594242000732676636482299863952730238121032572291080936977708523737251656867619466422957781<144>
prime factors 素因数
3189222863442541512254254094575177192841178576976284577497007384037<67>
140567441449321479034322912793656972962634431972834474588086300379984888036913<78>
factorization results 素因数分解の結果
Sun Apr 24 20:21:44 2022  Msieve v. 1.53 (SVN unknown)
Sun Apr 24 20:21:44 2022  random seeds: bf0dc418 1396b70c
Sun Apr 24 20:21:44 2022  factoring 448300898125796844885931841464658047220054902062587692594242000732676636482299863952730238121032572291080936977708523737251656867619466422957781 (144 digits)
Sun Apr 24 20:21:45 2022  searching for 15-digit factors
Sun Apr 24 20:21:47 2022  commencing number field sieve (144-digit input)
Sun Apr 24 20:21:47 2022  R0: -10000000000000000000000000000000000000
Sun Apr 24 20:21:47 2022  R1: 1
Sun Apr 24 20:21:47 2022  A0: -16
Sun Apr 24 20:21:47 2022  A1: 0
Sun Apr 24 20:21:47 2022  A2: 0
Sun Apr 24 20:21:47 2022  A3: 0
Sun Apr 24 20:21:47 2022  A4: 0
Sun Apr 24 20:21:47 2022  A5: 115
Sun Apr 24 20:21:47 2022  skew 0.67, size 7.176e-13, alpha -0.896, combined = 6.567e-11 rroots = 1
Sun Apr 24 20:21:47 2022  
Sun Apr 24 20:21:47 2022  commencing square root phase
Sun Apr 24 20:21:47 2022  reading relations for dependency 1
Sun Apr 24 20:21:48 2022  read 908509 cycles
Sun Apr 24 20:21:51 2022  cycles contain 3127748 unique relations
Sun Apr 24 20:23:03 2022  read 3127748 relations
Sun Apr 24 20:23:24 2022  multiplying 3127748 relations
Sun Apr 24 20:26:32 2022  multiply complete, coefficients have about 90.53 million bits
Sun Apr 24 20:26:33 2022  initial square root is modulo 3148291
Sun Apr 24 20:30:56 2022  GCD is N, no factor found
Sun Apr 24 20:30:56 2022  reading relations for dependency 2
Sun Apr 24 20:30:56 2022  read 909409 cycles
Sun Apr 24 20:30:58 2022  cycles contain 3130290 unique relations
Sun Apr 24 20:32:03 2022  read 3130290 relations
Sun Apr 24 20:32:25 2022  multiplying 3130290 relations
Sun Apr 24 20:35:33 2022  multiply complete, coefficients have about 90.60 million bits
Sun Apr 24 20:35:34 2022  initial square root is modulo 3185461
Sun Apr 24 20:40:05 2022  GCD is 1, no factor found
Sun Apr 24 20:40:05 2022  reading relations for dependency 3
Sun Apr 24 20:40:05 2022  read 910830 cycles
Sun Apr 24 20:40:08 2022  cycles contain 3133222 unique relations
Sun Apr 24 20:41:13 2022  read 3133222 relations
Sun Apr 24 20:41:38 2022  multiplying 3133222 relations
Sun Apr 24 20:44:50 2022  multiply complete, coefficients have about 90.68 million bits
Sun Apr 24 20:44:52 2022  initial square root is modulo 3229901
Sun Apr 24 20:49:26 2022  sqrtTime: 1659
Sun Apr 24 20:49:26 2022  p67 factor: 3189222863442541512254254094575177192841178576976284577497007384037
Sun Apr 24 20:49:26 2022  p78 factor: 140567441449321479034322912793656972962634431972834474588086300379984888036913
Sun Apr 24 20:49:26 2022  elapsed time 00:27:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:12:05 UTC 2022 年 4 月 18 日 (月) 1 時 12 分 5 秒 (日本時間)

23×10188-329

c160

name 名前Ignacio Santos
date 日付April 20, 2022 18:58:51 UTC 2022 年 4 月 21 日 (木) 3 時 58 分 51 秒 (日本時間)
composite number 合成数
1327735926275547395436158632776954420385554442411010365498467704227004995192694558355259230039849498407489013615573004860678453895816590725452029532339150072247<160>
prime factors 素因数
108306941083636812017796226234969826702931031<45>
12259010484381078032937753721452598322575566957590686534968346235051317031620340027267491969235456905598289013791137<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1838019135
Step 1 took 7234ms
Step 2 took 3719ms
********** Factor found in step 2: 108306941083636812017796226234969826702931031
Found prime factor of 45 digits: 108306941083636812017796226234969826702931031
Prime cofactor 12259010484381078032937753721452598322575566957590686534968346235051317031620340027267491969235456905598289013791137 has 116 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10189-329

c184

name 名前Bob Backstrom
date 日付April 22, 2022 11:16:38 UTC 2022 年 4 月 22 日 (金) 20 時 16 分 38 秒 (日本時間)
composite number 合成数
5405883105064043262107297848176478109463962032837684364117722271110208563670961288236046240513850342591965823536932993373797543566717058898741698443857788608347059575652278556224944907<184>
prime factors 素因数
112442488387585348941976667961068467156818973<45>
613225086339509342762623391396170379019654065335030943<54>
78400040905330969869768591158680465828814122978381481762154295117460220384453600129113<86>
factorization results 素因数分解の結果
Number: n
N=48076871853192648217183960066909616520968328737918520528647299516654363995898979328314246298960474418180303364301515590639907485346650143559  ( 140 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Apr 22 21:11:45 2022  p54 factor: 613225086339509342762623391396170379019654065335030943
Fri Apr 22 21:11:45 2022  p86 factor: 78400040905330969869768591158680465828814122978381481762154295117460220384453600129113
Fri Apr 22 21:11:45 2022  elapsed time 00:29:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 23x10^189-32 = 25(188)2
#
# n: 5405883105064043262107297848176478109463962032837684364117722271110208563670961288236046240513850342591965823536932993373797543566717058898741698443857788608347059575652278556224944907
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 5405883105064043262107297848176478109463962032837684364117722271110208563670961288236046240513850342591965823536932993373797543566717058898741698443857788608347059575652278556224944907 
(184 digits)
# Using B1=14530000, B2=46846903750, polynomial Dickson(12), sigma=1:1618497204
# Step 1 took 40374ms
# Step 2 took 16084ms
# ********** Factor found in step 2: 112442488387585348941976667961068467156818973
# Found prime factor of 45 digits: 112442488387585348941976667961068467156818973
# Composite cofactor 48076871853192648217183960066909616520968328737918520528647299516654363995898979328314246298960474418180303364301515590639907485346650143559 has 140 digits
#
n: 48076871853192648217183960066909616520968328737918520528647299516654363995898979328314246298960474418180303364301515590639907485346650143559
m: 50000000000000000000000000000000000000
deg: 5
c5: 23
c0: -10
skew: 0.85
# Murphy_E = 4.545e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3537892 hash collisions in 31003969 relations (29334597 unique)
Msieve: matrix is 1100984 x 1101210 (379.2 MB)

Sieving start time : 2022/04/22 17:00:47
Sieving end time  : 2022/04/22 20:42:06

Total sieving time: 3hrs 41min 19secs.

Total relation processing time: 0hrs 20min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10191-329

c185

name 名前Bob Backstrom
date 日付April 19, 2022 19:09:42 UTC 2022 年 4 月 20 日 (水) 4 時 9 分 42 秒 (日本時間)
composite number 合成数
54468459825200766006527879136476930760072781229657214352240235652344587748594050642216296053793240378880711988972173532155526303624435517300698484583247131075175189512349089211569517669<185>
prime factors 素因数
25420754496120723061957246604847204223<38>
2142676757824509203251096085520579059546568745952979659793241336733232066125160732436982189266789932435616662309079970367020283364189680396188735003<148>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 54468459825200766006527879136476930760072781229657214352240235652344587748594050642216296053793240378880711988972173532155526303624435517300698484583247131075175189512349089211569517669 (185 digits)
Using B1=12510000, B2=35135015380, polynomial Dickson(12), sigma=1:694774825
Step 1 took 35147ms
Step 2 took 13645ms
********** Factor found in step 2: 25420754496120723061957246604847204223
Found prime factor of 38 digits: 25420754496120723061957246604847204223
Prime cofactor 2142676757824509203251096085520579059546568745952979659793241336733232066125160732436982189266789932435616662309079970367020283364189680396188735003 has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10192-329

c182

name 名前Bob Backstrom
date 日付April 20, 2022 16:41:10 UTC 2022 年 4 月 21 日 (木) 1 時 41 分 10 秒 (日本時間)
composite number 合成数
12447402700872448357808309013386222284544544812782026001678464652909772644560482185607502505514396779821845152916257407993720916531129834079138295288052544266342727291551177748590339<182>
prime factors 素因数
50207307847987776879375839849484597768814109849691340434369439<62>
247920138210942114714177092536088301262526127149038434316291865469738997752695134173947190930081304732447534876552643101<120>
factorization results 素因数分解の結果
Number: n
N=12447402700872448357808309013386222284544544812782026001678464652909772644560482185607502505514396779821845152916257407993720916531129834079138295288052544266342727291551177748590339  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Apr 21 02:36:12 2022  p62 factor: 50207307847987776879375839849484597768814109849691340434369439
Thu Apr 21 02:36:12 2022  p120 factor: 247920138210942114714177092536088301262526127149038434316291865469738997752695134173947190930081304732447534876552643101
Thu Apr 21 02:36:12 2022  elapsed time 00:39:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 23x10^192-32 = 25(191)2
#
n: 12447402700872448357808309013386222284544544812782026001678464652909772644560482185607502505514396779821845152916257407993720916531129834079138295288052544266342727291551177748590339
m: 100000000000000000000000000000000000000
deg: 5
c5: 575
c0: -8
skew: 0.43
# Murphy_E = 3.462e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3343704 hash collisions in 30821981 relations (29378666 unique)
Msieve: matrix is 1296944 x 1297172 (451.0 MB)

Sieving start time : 2022/04/20 17:24:03
Sieving end time  : 2022/04/21 01:55:34

Total sieving time: 8hrs 31min 31secs.

Total relation processing time: 0hrs 29min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10193-329

c149

name 名前Bob Backstrom
date 日付May 5, 2022 11:47:36 UTC 2022 年 5 月 5 日 (木) 20 時 47 分 36 秒 (日本時間)
composite number 合成数
48462767549735268455805908608936200312612560012236295648050417517490262712947135241283951035115784285897696897078119722145801722370163579904333488481<149>
prime factors 素因数
1341354012149372802242951219513223013840890242064557623<55>
36129736900759699230421262396372859465901076186683516705729291668542246268782175688009531697447<95>
factorization results 素因数分解の結果
Number: n
N=48462767549735268455805908608936200312612560012236295648050417517490262712947135241283951035115784285897696897078119722145801722370163579904333488481  ( 149 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu May  5 21:43:26 2022  p55 factor: 1341354012149372802242951219513223013840890242064557623
Thu May  5 21:43:26 2022  p95 factor: 36129736900759699230421262396372859465901076186683516705729291668542246268782175688009531697447
Thu May  5 21:43:26 2022  elapsed time 00:44:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 23x10^193-32 = 25(192)2
#
n: 48462767549735268455805908608936200312612560012236295648050417517490262712947135241283951035115784285897696897078119722145801722370163579904333488481
m: 100000000000000000000000000000000000000
deg: 5
c5: 2875
c0: -4
skew: 0.27
# Murphy_E = 2.955e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3288326 hash collisions in 29185875 relations (27626346 unique)
Msieve: matrix is 1360024 x 1360250 (474.6 MB)

Sieving start time : 2022/05/05 16:14:38
Sieving end time  : 2022/05/05 20:58:52

Total sieving time: 4hrs 44min 14secs.

Total relation processing time: 0hrs 33min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:01:58 UTC 2022 年 4 月 21 日 (木) 4 時 1 分 58 秒 (日本時間)

23×10194-329

c143

name 名前Eric Jeancolas
date 日付January 11, 2023 10:26:12 UTC 2023 年 1 月 11 日 (水) 19 時 26 分 12 秒 (日本時間)
composite number 合成数
18846353745242165857640332059889544121644476279312487731777166814606662077467371047365312224785135959009569922871986209400505623931506480252833<143>
prime factors 素因数
12285295609411246109417705033342468992254916507460932735186201<62>
1534057815491616677906637509548569161399056560920834097449585006728208413280268233<82>
factorization results 素因数分解の結果
18846353745242165857640332059889544121644476279312487731777166814606662077467371047365312224785135959009569922871986209400505623931506480252833=12285295609411246109417705033342468992254916507460932735186201*1534057815491616677906637509548569161399056560920834097449585006728208413280268233

cado polynomial
n: 18846353745242165857640332059889544121644476279312487731777166814606662077467371047365312224785135959009569922871986209400505623931506480252833
skew: 0.85
type: snfs
c0: -10
c5: 23
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-10
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1534057815491616677906637509548569161399056560920834097449585006728208413280268233 12285295609411246109417705033342468992254916507460932735186201
Info:Square Root: Total cpu/real time for sqrt: 587.68/195.576
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.39/114.556
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.80000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.88/401.841
Info:Quadratic Characters: Total cpu/real time for characters: 78.93/34.1784
Info:Generate Free Relations: Total cpu/real time for freerel: 118.82/31.0011
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27576045
Info:Lattice Sieving: Average J: 1893.58 for 2430884 special-q, max bucket fill -bkmult 1.0,1s:1.161050
Info:Lattice Sieving: Total time: 525145s
Info:Square Root: Total cpu/real time for sqrt: 587.68/195.576
Info:Generate Factor Base: Total cpu/real time for makefb: 5.21/2.43462
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 532.73/574.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 476.69999999999993s
Info:Filtering - Merging: Merged matrix has 2256369 rows and total weight 385297046 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 628.48/171.978
Info:Filtering - Merging: Total cpu/real time for replay: 86.68/79.3055
Info:Linear Algebra: Total cpu/real time for bwc: 89128.9/22847.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57491.99, WCT time 14669.92, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70656 iterations)
Info:Linear Algebra: Lingen CPU time 499.6, WCT time 126.58
Info:Linear Algebra: Mksol: CPU time 30351.53,  WCT time 7786.65, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.08067e+06/134614
1534057815491616677906637509548569161399056560920834097449585006728208413280268233 12285295609411246109417705033342468992254916507460932735186201
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 22, 2022 15:42:17 UTC 2022 年 4 月 23 日 (土) 0 時 42 分 17 秒 (日本時間)

23×10195-329

c192

name 名前Bob Backstrom
date 日付April 23, 2022 12:24:53 UTC 2022 年 4 月 23 日 (土) 21 時 24 分 53 秒 (日本時間)
composite number 合成数
382110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479<192>
prime factors 素因数
192763120265384484550459985603663760940269085698168144370451761046466780618585488584553<87>
1982280526238286846269910207938752417168076523406509052148598226359636043214640210183573851794107914082943<106>
factorization results 素因数分解の結果
Number: n
N=382110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479  ( 192 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Apr 23 22:12:00 2022  p87 factor: 192763120265384484550459985603663760940269085698168144370451761046466780618585488584553
Sat Apr 23 22:12:00 2022  p106 factor: 1982280526238286846269910207938752417168076523406509052148598226359636043214640210183573851794107914082943
Sat Apr 23 22:12:00 2022  elapsed time 00:41:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 23x10^195-32 = 25(194)2
#
n: 382110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -32
skew: 1.07
# Murphy_E = 2.986e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3457153 hash collisions in 31445135 relations (29194702 unique)
Msieve: matrix is 1328239 x 1328465 (462.4 MB)

Sieving start time : 2022/04/23 16:36:28
Sieving end time  : 2022/04/23 21:18:24

Total sieving time: 4hrs 41min 56secs.

Total relation processing time: 0hrs 31min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

23×10196-329

c158

name 名前Bob Backstrom
date 日付April 25, 2022 12:41:43 UTC 2022 年 4 月 25 日 (月) 21 時 41 分 43 秒 (日本時間)
composite number 合成数
12944511727093146734038162626299261911457359826455531665935232012555785350080298423026427444788594090337796297312116134078271202275148096516063246867940819793<158>
prime factors 素因数
823065979937232899163731984386250509950650954973411492517950670549617581<72>
15727185963973746796471458808355564306673515173920655658118134517360245010403471248053<86>
factorization results 素因数分解の結果
Number: n
N=12944511727093146734038162626299261911457359826455531665935232012555785350080298423026427444788594090337796297312116134078271202275148096516063246867940819793  ( 158 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Apr 25 22:34:09 2022  p72 factor: 823065979937232899163731984386250509950650954973411492517950670549617581
Mon Apr 25 22:34:09 2022  p86 factor: 15727185963973746796471458808355564306673515173920655658118134517360245010403471248053
Mon Apr 25 22:34:09 2022  elapsed time 00:48:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 23x10^196-32 = 25(195)2
#
n: 12944511727093146734038162626299261911457359826455531665935232012555785350080298423026427444788594090337796297312116134078271202275148096516063246867940819793
m: 1000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -16
skew: 0.67
# Murphy_E = 2.539e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3733971 hash collisions in 31541274 relations (29674230 unique)
Msieve: matrix is 1401349 x 1401574 (486.7 MB)

Sieving start time : 2022/04/25 15:49:55
Sieving end time  : 2022/04/25 21:45:30

Total sieving time: 5hrs 55min 35secs.

Total relation processing time: 0hrs 36min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 22, 2022 16:38:39 UTC 2022 年 4 月 23 日 (土) 1 時 38 分 39 秒 (日本時間)

23×10199-329

c162

name 名前Bob Backstrom
date 日付August 28, 2022 21:14:54 UTC 2022 年 8 月 29 日 (月) 6 時 14 分 54 秒 (日本時間)
composite number 合成数
672308782935535680224809636835740725238356866646915626968873673189959654254759743432786704836882463544379222644906929692264501493318880712361660431054607400698393<162>
prime factors 素因数
26457750212256344564660659600115696579<38>
25410655764075281335384385868087153191679004142424127128815103778892102110351099867050136764682656009470249862732043897524467<125>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 672308782935535680224809636835740725238356866646915626968873673189959654254759743432786704836882463544379222644906929692264501493318880712361660431054607400698393 (162 digits)
Using B1=21080000, B2=96186180106, polynomial Dickson(12), sigma=1:783914762
Step 1 took 49642ms
Step 2 took 19263ms
********** Factor found in step 2: 26457750212256344564660659600115696579
Found prime factor of 38 digits: 26457750212256344564660659600115696579
Prime cofactor 25410655764075281335384385868087153191679004142424127128815103778892102110351099867050136764682656009470249862732043897524467 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 25, 2022 12:31:30 UTC 2022 年 4 月 25 日 (月) 21 時 31 分 30 秒 (日本時間)

23×10200-329

c147

name 名前Eric Jeancolas
date 日付January 16, 2023 04:13:23 UTC 2023 年 1 月 16 日 (月) 13 時 13 分 23 秒 (日本時間)
composite number 合成数
180063458015552112569574763545311500654403556278175833769326346701177974331955529713440655674640559579810281213577682678478860875273349388272829499<147>
prime factors 素因数
62167576616270410531215782919235727732947123<44>
2896420735956855009922175111913465967358484232046371163887336110471111327236909237601494029851171060313<103>
factorization results 素因数分解の結果
180063458015552112569574763545311500654403556278175833769326346701177974331955529713440655674640559579810281213577682678478860875273349388272829499=62167576616270410531215782919235727732947123*2896420735956855009922175111913465967358484232046371163887336110471111327236909237601494029851171060313

cado polynomial
n: 180063458015552112569574763545311500654403556278175833769326346701177974331955529713440655674640559579810281213577682678478860875273349388272829499
skew: 1.07
type: snfs
c0: -32
c5: 23
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-32
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15900000
tasks.lim1 = 15900000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 62167576616270410531215782919235727732947123 2896420735956855009922175111913465967358484232046371163887336110471111327236909237601494029851171060313
Info:Square Root: Total cpu/real time for sqrt: 508.06/167.837
Info:Generate Free Relations: Total cpu/real time for freerel: 237.54/60.7463
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 507.32/468.459
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 442.29999999999995s
Info:Square Root: Total cpu/real time for sqrt: 508.06/167.837
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 193.33/218.296
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 218.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 271.67/246.664
Info:Filtering - Merging: Merged matrix has 1954967 rows and total weight 332742340 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 524.08/143.916
Info:Filtering - Merging: Total cpu/real time for replay: 73.78/67.366
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43283068
Info:Lattice Sieving: Average J: 3789.77 for 999917 special-q, max bucket fill -bkmult 1.0,1s:1.077520
Info:Lattice Sieving: Total time: 488579s
Info:Linear Algebra: Total cpu/real time for bwc: 64094.3/16536.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41054.21, WCT time 10488.39, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61184 iterations)
Info:Linear Algebra: Lingen CPU time 388.59, WCT time 98.92
Info:Linear Algebra: Mksol: CPU time 22277.19,  WCT time 5774.38, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 69.83/30.5291
Info:Generate Factor Base: Total cpu/real time for makefb: 6.67/2.95561
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 988716/263182
Info:root: Cleaning up computation data in /tmp/cado.0oiz5n13
62167576616270410531215782919235727732947123 2896420735956855009922175111913465967358484232046371163887336110471111327236909237601494029851171060313
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 12, 2022 05:57:28 UTC 2022 年 5 月 12 日 (木) 14 時 57 分 28 秒 (日本時間)

23×10201-329

c188

name 名前Bob Backstrom
date 日付June 18, 2023 10:27:39 UTC 2023 年 6 月 18 日 (日) 19 時 27 分 39 秒 (日本時間)
composite number 合成数
28849330023388432161892277692208902279498732032486432169220136040660499547415589528496252239211212522915487087518625255520509134577625584499858975408248824935823203175570986724597932697399<188>
prime factors 素因数
28541466464682765249403419054581545699338386041<47>
1010786536111822338929076243289425479735484170253000786401701446992098799008630570148441056802298173024355636630694383181988512758896958849839<142>
factorization results 素因数分解の結果
Number: n
N=28849330023388432161892277692208902279498732032486432169220136040660499547415589528496252239211212522915487087518625255520509134577625584499858975408248824935823203175570986724597932697399  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jun 18 20:20:28 2023  prp47 factor: 28541466464682765249403419054581545699338386041
Sun Jun 18 20:20:28 2023  prp142 factor: 1010786536111822338929076243289425479735484170253000786401701446992098799008630570148441056802298173024355636630694383181988512758896958849839
Sun Jun 18 20:20:28 2023  elapsed time 02:04:18 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 23x10^201-32 = 25(200)2
#
n: 28849330023388432161892277692208902279498732032486432169220136040660499547415589528496252239211212522915487087518625255520509134577625584499858975408248824935823203175570986724597932697399
m: 10000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -16
skew: 0.67
# Murphy_E = 1.569e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 40950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2261905 hash collisions in 16195641 relations (14798194 unique)
Msieve: matrix is 2006006 x 2006232 (568.4 MB)

Sieving start time: 2023/06/18 03:01:22
Sieving end time  : 2023/06/18 18:15:53

Total sieving time: 15hrs 14min 31secs.

Total relation processing time: 1hrs 55min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 52sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:20:34 UTC 2022 年 6 月 6 日 (月) 0 時 20 分 34 秒 (日本時間)
2350Ignacio SantosNovember 7, 2022 08:48:36 UTC 2022 年 11 月 7 日 (月) 17 時 48 分 36 秒 (日本時間)

23×10202-329

c188

name 名前Bob Backstrom
date 日付July 3, 2023 03:09:33 UTC 2023 年 7 月 3 日 (月) 12 時 9 分 33 秒 (日本時間)
composite number 合成数
95998265234742101812579044352144193647602666303833960841352246724817382401426852189376064533902715418353478197580949615688944327951043877987365105742373195334913290072084683458580676735117<188>
prime factors 素因数
254428104177020846750403979720056472489990709153649694083636225875447<69>
377309989182446480205333773213333617635377435944247916683562630538443962714884968644510723499474195411585511403908371611<120>
factorization results 素因数分解の結果
Number: n
N=95998265234742101812579044352144193647602666303833960841352246724817382401426852189376064533902715418353478197580949615688944327951043877987365105742373195334913290072084683458580676735117  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jul  3 13:04:44 2023  prp69 factor: 254428104177020846750403979720056472489990709153649694083636225875447
Mon Jul  3 13:04:44 2023  prp120 factor: 377309989182446480205333773213333617635377435944247916683562630538443962714884968644510723499474195411585511403908371611
Mon Jul  3 13:04:44 2023  elapsed time 02:32:15 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 23x10^202-32 = 25(201)2
#
n: 95998265234742101812579044352144193647602666303833960841352246724817382401426852189376064533902715418353478197580949615688944327951043877987365105742373195334913290072084683458580676735117
m: 10000000000000000000000000000000000000000
deg: 5
c5: 575
c0: -8
skew: 0.43
# Murphy_E = 1.326e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2568968 hash collisions in 16418772 relations (14632204 unique)
Msieve: matrix is 2122146 x 2122371 (602.8 MB)

Sieving start time: 2023/07/03 02:11:37
Sieving end time  : 2023/07/03 10:32:05

Total sieving time: 8hrs 20min 28secs.

Total relation processing time: 2hrs 13min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 48sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 5, 2022 15:20:48 UTC 2022 年 6 月 6 日 (月) 0 時 20 分 48 秒 (日本時間)

23×10204-329

c192

name 名前Bob Backstrom
date 日付September 6, 2023 04:12:57 UTC 2023 年 9 月 6 日 (水) 13 時 12 分 57 秒 (日本時間)
composite number 合成数
232575017311000867827239747736304011566724045852086625087438678982344565682969523557577432845396318907215091927376774381140170567267638396041547633019595744188541795629565336598747272715711957<192>
prime factors 素因数
5332775915687717089993012165919234613583<40>
12909038635620281586275768388105119393659423202812670175848693<62>
3378437012962051478521069277719352339630070008226188573734502555320712940711925041508801103<91>
factorization results 素因数分解の結果
Number: n
N=232575017311000867827239747736304011566724045852086625087438678982344565682969523557577432845396318907215091927376774381140170567267638396041547633019595744188541795629565336598747272715711957  ( 192 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Sep  6 14:06:34 2023  prp40 factor: 5332775915687717089993012165919234613583
Wed Sep  6 14:06:34 2023  prp62 factor: 12909038635620281586275768388105119393659423202812670175848693
Wed Sep  6 14:06:34 2023  prp91 factor: 3378437012962051478521069277719352339630070008226188573734502555320712940711925041508801103
Wed Sep  6 14:06:34 2023  elapsed time 02:44:09 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 23x10^204-32 = 25(203)2
#
n: 232575017311000867827239747736304011566724045852086625087438678982344565682969523557577432845396318907215091927376774381140170567267638396041547633019595744188541795629565336598747272715711957
m: 50000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -10
skew: 0.85
# Murphy_E = 1.077e-11
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3096387 hash collisions in 18782661 relations (16149222 unique)
Msieve: matrix is 2224452 x 2224678 (627.4 MB)

Sieving start time: 2023/09/05 21:12:35
Sieving end time  : 2023/09/06 11:22:02

Total sieving time: 14hrs 9min 27secs.

Total relation processing time: 2hrs 29min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 35sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 5, 2022 15:21:00 UTC 2022 年 6 月 6 日 (月) 0 時 21 分 0 秒 (日本時間)

23×10206-329

c171

name 名前Bob Backstrom
date 日付May 29, 2024 01:43:49 UTC 2024 年 5 月 29 日 (水) 10 時 43 分 49 秒 (日本時間)
composite number 合成数
498260695288762816300978326772637979466162660451637580916234235181848504478000028129702196894592691798808375051650665814556294292294491078135142143025194365067464821937453<171>
prime factors 素因数
31820238927332509923165719754987970616342782836195931497042024389412807643<74>
15658609491482281642833986983762605676453250563675800252437179935617315486637826186665244375563671<98>
factorization results 素因数分解の結果
Number: n
N=498260695288762816300978326772637979466162660451637580916234235181848504478000028129702196894592691798808375051650665814556294292294491078135142143025194365067464821937453  ( 171 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat May 25 14:59:19 2024  prp74 factor: 31820238927332509923165719754987970616342782836195931497042024389412807643
Sat May 25 14:59:19 2024  prp98 factor: 15658609491482281642833986983762605676453250563675800252437179935617315486637826186665244375563671
Sat May 25 14:59:19 2024  elapsed time 02:06:26 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.077).
Factorization parameters were as follows:
#
# N = 23x10^206-32 = 25(205)2
#
n: 498260695288762816300978326772637979466162660451637580916234235181848504478000028129702196894592691798808375051650665814556294292294491078135142143025194365067464821937453
m: 100000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -16
skew: 0.67
# Murphy_E = 9.653e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4252575 hash collisions in 22162747 relations (18256661 unique)
Msieve: matrix is 1989588 x 1989813 (560.7 MB)

Sieving start time: 2024/05/24 22:54:41
Sieving end time  : 2024/05/25 12:52:26

Total sieving time: 13hrs 57min 45secs.

Total relation processing time: 1hrs 57min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:20:15 UTC 2022 年 5 月 18 日 (水) 19 時 20 分 15 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 13:08:58 UTC 2023 年 9 月 15 日 (金) 22 時 8 分 58 秒 (日本時間)

23×10208-329

c150

composite cofactor 合成数の残り
709689453442023546461452394487448673216463895027112076440050726663773020329379311166118550248317878636241817650392055585906138089548888103147048445369<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:20:26 UTC 2022 年 5 月 18 日 (水) 19 時 20 分 26 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 13:09:09 UTC 2023 年 9 月 15 日 (金) 22 時 9 分 9 秒 (日本時間)
4511e64480Ignacio SantosSeptember 17, 2024 09:53:00 UTC 2024 年 9 月 17 日 (火) 18 時 53 分 0 秒 (日本時間)

23×10210-329

c153

composite cofactor 合成数の残り
275284019226738642299858528555857456314437417585854112301068753618599702830172355998171519883264918611051937833555794842675647087312079399379575041585529<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:20:38 UTC 2022 年 5 月 18 日 (水) 19 時 20 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 13:39:28 UTC 2023 年 9 月 15 日 (金) 22 時 39 分 28 秒 (日本時間)

23×10213-329

c188

composite cofactor 合成数の残り
19358712630989097567954539921615538179298451755575552667993727886568614472465013670733187363785265183224339983414549055431659115459800921228864895250089702352207819130093516535620120538671<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:21:12 UTC 2022 年 6 月 6 日 (月) 0 時 21 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 13:39:39 UTC 2023 年 9 月 15 日 (金) 22 時 39 分 39 秒 (日本時間)

23×10215-329

c159

composite cofactor 合成数の残り
256736907859860604698388195884276829062076113274398176355727379533631607095082103502571471888972608138509899006398677282214172714697710185616969331506942873809<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:20:50 UTC 2022 年 5 月 18 日 (水) 19 時 20 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 13:55:11 UTC 2023 年 9 月 15 日 (金) 22 時 55 分 11 秒 (日本時間)

23×10216-329

c111

name 名前Eric Jeancolas
date 日付April 15, 2022 08:04:29 UTC 2022 年 4 月 15 日 (金) 17 時 4 分 29 秒 (日本時間)
composite number 合成数
156523883890109755754869819154305157051533518363513802915160732591139860827375678034432259009565314143397178663<111>
prime factors 素因数
4251774893947903379459415454007667889858363204934201<52>
36813774904431153785521285662449947581530188513972965524063<59>
factorization results 素因数分解の結果
156523883890109755754869819154305157051533518363513802915160732591139860827375678034432259009565314143397178663=4251774893947903379459415454007667889858363204934201*36813774904431153785521285662449947581530188513972965524063

cado polynomial
n: 156523883890109755754869819154305157051533518363513802915160732591139860827375678034432259009565314143397178663
skew: 23498.519
c0: -8657770314173387039941334
c1: -288253511997404731763
c2: 543388105886635936
c3: 2088462903363
c4: -458028522
c5: 3360
Y0: -2484132046692077183380
Y1: 275071103624561
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.576e-06
# f(x) = 3360*x^5-458028522*x^4+2088462903363*x^3+543388105886635936*x^2-288253511997404731763*x-8657770314173387039941334
# g(x) = 275071103624561*x-2484132046692077183380

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

cado log (extracts)
Info:Square Root: Factors: 4251774893947903379459415454007667889858363204934201 36813774904431153785521285662449947581530188513972965524063
Info:Square Root: Total cpu/real time for sqrt: 217.95/29.6603
Info:Generate Free Relations: Total cpu/real time for freerel: 72.83/7.02464
Info:Filtering - Merging: Merged matrix has 291670 rows and total weight 45453291 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 58.28/7.88858
Info:Filtering - Merging: Total cpu/real time for replay: 9.41/7.10225
Info:Generate Factor Base: Total cpu/real time for makefb: 2.87/0.339066
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11819/32.840/39.194/44.520/1.108
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9187/30.560/34.676/39.620/0.874
Info:Polynomial Selection (size optimized): Total time: 798.45
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 158.85/135.089
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.50000000000003s
Info:Quadratic Characters: Total cpu/real time for characters: 11.67/2.68134
Info:Square Root: Total cpu/real time for sqrt: 217.95/29.6603
Info:Linear Algebra: Total cpu/real time for bwc: 1281.02/240.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 752.1, WCT time 144.39, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 98.76, WCT time 9.02
Info:Linear Algebra: Mksol: CPU time 408.06,  WCT time 79.9, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.48/115.437
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5317139
Info:Lattice Sieving: Average J: 1902.94 for 93127 special-q, max bucket fill -bkmult 1.0,1s:1.236430
Info:Lattice Sieving: Total time: 15527.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 36.45/31.1868
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 272.07
Info:Polynomial Selection (root optimized): Rootsieve time: 270.96
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31547.8/3151.37
Info:root: Cleaning up computation data in /tmp/cado.foe6y7bb
4251774893947903379459415454007667889858363204934201 36813774904431153785521285662449947581530188513972965524063
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 17:47:03 UTC 2022 年 4 月 15 日 (金) 2 時 47 分 3 秒 (日本時間)

23×10218-329

c203

name 名前Dmitry Domanov
date 日付August 17, 2023 16:28:10 UTC 2023 年 8 月 18 日 (金) 1 時 28 分 10 秒 (日本時間)
composite number 合成数
12296586617868895221810864778688204305860111868233385950557232355302170257858994124035541374673724703249146807432132678408052984859056248676946522084049043619528778623920373149958586094693894914035307393<203>
prime factors 素因数
738380319282213324537329821227610332353<39>
composite cofactor 合成数の残り
16653459330853409567926888342105732106276587063580469120653025519417612056892749814948378969794157766868739661420403598673358889695094173123677371709199695032575681<164>
factorization results 素因数分解の結果
Resuming ECM residue saved by @d5521c54081f with GMP-ECM 7.0.5-dev on Wed Aug 16 09:29:18 2023 
Input number is 12296586617868895221810864778688204305860111868233385950557232355302170257858994124035541374673724703249146807432132678408052984859056248676946522084049043619528778623920373149958586094693894914035307393 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:430064327
Step 1 took 0ms
Step 2 took 5000ms
********** Factor found in step 2: 738380319282213324537329821227610332353
Found prime factor of 39 digits: 738380319282213324537329821227610332353
Composite cofactor 16653459330853409567926888342105732106276587063580469120653025519417612056892749814948378969794157766868739661420403598673358889695094173123677371709199695032575681 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:34:30 UTC 2023 年 8 月 16 日 (水) 17 時 34 分 30 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 14:03:23 UTC 2023 年 9 月 15 日 (金) 23 時 3 分 23 秒 (日本時間)

23×10219-329

c186

composite cofactor 合成数の残り
208861875050523701296110567865530055924896586722318740563615698072154002527493952499779588352892516485246055398680477162045339734617437148707842337573028886810411556831693529132881112959<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:21:25 UTC 2022 年 6 月 6 日 (月) 0 時 21 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 14:08:31 UTC 2023 年 9 月 15 日 (金) 23 時 8 分 31 秒 (日本時間)

23×10220-329

c219

name 名前Erik Branger
date 日付November 9, 2024 16:06:39 UTC 2024 年 11 月 10 日 (日) 1 時 6 分 39 秒 (日本時間)
composite number 合成数
798611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<219>
prime factors 素因数
73893347606177879508847285092602845054490381740356897793<56>
121909788198941198121336939459986104078885467219930214043747<60>
88652590299566590756128431715742297687791564824705232863792490082449353079048068473889528318317838372941<104>
factorization results 素因数分解の結果
Number: 25552_220
N = 798611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (219 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=73893347606177879508847285092602845054490381740356897793 (pp56)
r2=121909788198941198121336939459986104078885467219930214043747 (pp60)
r3=88652590299566590756128431715742297687791564824705232863792490082449353079048068473889528318317838372941 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 42.52 hours.
Factorization parameters were as follows:
n: 798611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: -32
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30069198
Relations: 7811286 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.23 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6707697 x 6707922
Matrix solve time: 28.95 hours.
time per square root: 0.94 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 42.52 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:34:23 UTC 2023 年 8 月 16 日 (水) 17 時 34 分 23 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 14:23:29 UTC 2023 年 9 月 15 日 (金) 23 時 23 分 29 秒 (日本時間)

23×10223-329

c160

name 名前Ignacio Santos
date 日付September 15, 2023 14:35:44 UTC 2023 年 9 月 15 日 (金) 23 時 35 分 44 秒 (日本時間)
composite number 合成数
4210414253291223979307531737873738523026222203748150414954747750414959434441740310643852349839145716373069205111065237784241937529330295857799565363879710152389<160>
prime factors 素因数
13311138079130917991144646900414378758319589<44>
316307608580236531600059581478948531721971915492236034361864694163791433935451635688633910859643503613770746510735201<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3360679117
Step 1 took 6516ms
Step 2 took 3093ms
********** Factor found in step 2: 13311138079130917991144646900414378758319589
Found prime factor of 44 digits: 13311138079130917991144646900414378758319589
Prime cofactor 316307608580236531600059581478948531721971915492236034361864694163791433935451635688633910859643503613770746510735201 has 117 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:21:00 UTC 2022 年 5 月 18 日 (水) 19 時 21 分 0 秒 (日本時間)

23×10224-329

c213

composite cofactor 合成数の残り
888916880191955823028865116423798392691554601351227435210132462736281187634998106831083163790476492644855291521835502760629718107858445740728104764099676083708842213662121235533020047955021703151991267518619388799<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:34:15 UTC 2023 年 8 月 16 日 (水) 17 時 34 分 15 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 14:43:52 UTC 2023 年 9 月 15 日 (金) 23 時 43 分 52 秒 (日本時間)

23×10225-329

c187

composite cofactor 合成数の残り
3251119933717581966459401284513356507838813002715816710295256461693777332759805862492417056392002440671121128317796078388662200822793268949206304710865665927259123282453589996226074221807<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:21:37 UTC 2022 年 6 月 6 日 (月) 0 時 21 分 37 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 14:57:27 UTC 2023 年 9 月 15 日 (金) 23 時 57 分 27 秒 (日本時間)

23×10226-329

c196

composite cofactor 合成数の残り
1218099074137046497832206333985539134172901312629331498330908925286271304133426257237132668777979694588909506136691623835467207061809945813720396513238990378439334956697144487286000401360012112527<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:21:48 UTC 2022 年 6 月 6 日 (月) 0 時 21 分 48 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 15:19:50 UTC 2023 年 9 月 16 日 (土) 0 時 19 分 50 秒 (日本時間)

23×10227-329

c197

composite cofactor 合成数の残り
59509577093023734943875892413925242637387085012923119060523158228155834896220620975617835328655741723714993391233628631361099528312045537911311625021317474705240216929946824983865467740861629418853<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:22:01 UTC 2022 年 6 月 6 日 (月) 0 時 22 分 1 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 15:20:03 UTC 2023 年 9 月 16 日 (土) 0 時 20 分 3 秒 (日本時間)

23×10228-329

c134

name 名前Eric Jeancolas
date 日付May 9, 2022 07:52:18 UTC 2022 年 5 月 9 日 (月) 16 時 52 分 18 秒 (日本時間)
composite number 合成数
86651749757888577072655617842551681336535123898916797969548429976309432865985693042044739550300113485894074571172449897813038581682491<134>
prime factors 素因数
2131058446638826313127251480473689677458248287959071545340551507<64>
40661367075388520741289587764052481752367452902399249763615554332494713<71>
factorization results 素因数分解の結果
86651749757888577072655617842551681336535123898916797969548429976309432865985693042044739550300113485894074571172449897813038581682491=2131058446638826313127251480473689677458248287959071545340551507*40661367075388520741289587764052481752367452902399249763615554332494713

cado polynomial
n: 86651749757888577072655617842551681336535123898916797969548429976309432865985693042044739550300113485894074571172449897813038581682491
skew: 178640.81
c0: 13459272984998168792817332479440
c1: -9578941090521970789927358
c2: -2954535119927130778773
c3: -10473854915949733
c4: 66870962082
c5: 29520
Y0: -111922626378244652045831047
Y1: 139332835417598627
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.383e-07
# f(x) = 29520*x^5+66870962082*x^4-10473854915949733*x^3-2954535119927130778773*x^2-9578941090521970789927358*x+13459272984998168792817332479440
# g(x) = 139332835417598627*x-111922626378244652045831047

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: 2131058446638826313127251480473689677458248287959071545340551507 40661367075388520741289587764052481752367452902399249763615554332494713
Info:Square Root: Total cpu/real time for sqrt: 474.63/142.325
Info:Generate Free Relations: Total cpu/real time for freerel: 249.82/63.2736
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.57/86.4754
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.4s
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): 54048/39.170/48.130/53.040/0.966
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44099/38.850/42.947/48.910/1.027
Info:Polynomial Selection (size optimized): Total time: 11396.4
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.91/166.619
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.5s
Info:Linear Algebra: Total cpu/real time for bwc: 27754.7/7130.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17649.67, WCT time 4514.17, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations)
Info:Linear Algebra: Lingen CPU time 258.89, WCT time 65.76
Info:Linear Algebra: Mksol: CPU time 9616.83,  WCT time 2466.3, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Square Root: Total cpu/real time for sqrt: 474.63/142.325
Info:Generate Factor Base: Total cpu/real time for makefb: 14.58/3.8787
Info:Quadratic Characters: Total cpu/real time for characters: 45.56/18.8929
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.4/99.4185
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6734.21
Info:Polynomial Selection (root optimized): Rootsieve time: 6731.72
Info:Filtering - Merging: Merged matrix has 1333356 rows and total weight 226935179 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 346/96.5232
Info:Filtering - Merging: Total cpu/real time for replay: 49.91/46.883
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17025574
Info:Lattice Sieving: Average J: 3788.1 for 620265 special-q, max bucket fill -bkmult 1.0,1s:1.159210
Info:Lattice Sieving: Total time: 208323s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 437748/30820.3
2131058446638826313127251480473689677458248287959071545340551507 40661367075388520741289587764052481752367452902399249763615554332494713
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 19:14:44 UTC 2022 年 4 月 15 日 (金) 4 時 14 分 44 秒 (日本時間)
4511e64480Ignacio SantosApril 18, 2022 19:37:03 UTC 2022 年 4 月 19 日 (火) 4 時 37 分 3 秒 (日本時間)

23×10229-329

c161

composite cofactor 合成数の残り
72511433463642977706748180201482696866166684753824939904256996561789413946741810556229239108600708253046785200147719575233733675519030352423755025160657010722063<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:21:11 UTC 2022 年 5 月 18 日 (水) 19 時 21 分 11 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 15:28:53 UTC 2023 年 9 月 16 日 (土) 0 時 28 分 53 秒 (日本時間)

23×10233-329

c222

composite cofactor 合成数の残り
480970940661524713722881224845988645906794933929170003646649802490077530397488803382566317883656038058404890628527810912759231193044016397945422023388665381799831792101683019647231300191721299850169832358513874146143358067<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:33:50 UTC 2023 年 8 月 16 日 (水) 17 時 33 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 06:49:47 UTC 2023 年 9 月 16 日 (土) 15 時 49 分 47 秒 (日本時間)

23×10234-329

c181

composite cofactor 合成数の残り
2565284056026008025415953208673165228614820075707355578838816852868788169895055478609765817914795492110440161156910098998966951384722804017225701001776185365929489984643673744954457<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:22:12 UTC 2022 年 6 月 6 日 (月) 0 時 22 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 06:50:12 UTC 2023 年 9 月 16 日 (土) 15 時 50 分 12 秒 (日本時間)

23×10236-329

c221

name 名前Ignacio Santos
date 日付September 16, 2023 06:50:59 UTC 2023 年 9 月 16 日 (土) 15 時 50 分 59 秒 (日本時間)
composite number 合成数
78333483444229872503384634065552613425827565429800920044293372436202199016586108445285641245438495450441022706981580769697902288800307063527911082722374442029842049613229613229113386637622636083610318758626896471104176999<221>
prime factors 素因数
196683129822910730199754900451747723015074219461043<51>
composite cofactor 合成数の残り
398272508245926634227185000345829712619646898666697813676717145989743405137550267869615294833688730671977880774002056924280729264818079605442036796074408107123109130100093<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4062009344
Step 1 took 9625ms
Step 2 took 4218ms
********** Factor found in step 2: 196683129822910730199754900451747723015074219461043
Found prime factor of 51 digits: 196683129822910730199754900451747723015074219461043
Composite cofactor 398272508245926634227185000345829712619646898666697813676717145989743405137550267869615294833688730671977880774002056924280729264818079605442036796074408107123109130100093 has 171 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:33:41 UTC 2023 年 8 月 16 日 (水) 17 時 33 分 41 秒 (日本時間)
2350Ignacio SantosSeptember 18, 2023 16:05:20 UTC 2023 年 9 月 19 日 (火) 1 時 5 分 20 秒 (日本時間)

23×10237-329

c197

name 名前Dmitry Domanov
date 日付June 6, 2022 08:44:40 UTC 2022 年 6 月 6 日 (月) 17 時 44 分 40 秒 (日本時間)
composite number 合成数
62237816726681518173132558864021911174040220393126580311545539403332740695122014394314673320009411066499454185778235559570800060345416341839708132467185114071809991065339550149875880897159049951243<197>
prime factors 素因数
948051657551752913266392613594753789<36>
65648128169939976387681838539493790589700486172477823429456226776234591794186612320137054739541048095733802652082742517788113567152707197013154329858073577304487<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1551903109
Step 1 took 22980ms
Step 2 took 10424ms
********** Factor found in step 2: 948051657551752913266392613594753789
Found prime factor of 36 digits: 948051657551752913266392613594753789
Prime cofactor 65648128169939976387681838539493790589700486172477823429456226776234591794186612320137054739541048095733802652082742517788113567152707197013154329858073577304487 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 5, 2022 15:22:24 UTC 2022 年 6 月 6 日 (月) 0 時 22 分 24 秒 (日本時間)

23×10242-329

c229

composite cofactor 合成数の残り
3740006867200390789900506576373641677184305440984972798663217654823000664214691345857960498240766441926007011665705411742578704760306592337885024739392099647540494439152398894165885051161698119706136673402345738685553855994519067<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:33:33 UTC 2023 年 8 月 16 日 (水) 17 時 33 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 06:51:46 UTC 2023 年 9 月 16 日 (土) 15 時 51 分 46 秒 (日本時間)

23×10243-329

c204

composite cofactor 合成数の残り
484464154007975571915200168771720409878882925828529983720250659369649873121044993963953753266059646841390996106188407352830590829784162584760635804986477865857341201354445776717574226802357447552926057293<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:33:25 UTC 2023 年 8 月 16 日 (水) 17 時 33 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 06:52:22 UTC 2023 年 9 月 16 日 (土) 15 時 52 分 22 秒 (日本時間)

23×10244-329

c222

composite cofactor 合成数の残り
929399610383576168661853098781173602330706326000738716164553508602975608292881243198350285296301016297542540117649502669379021933319189762383402342689570324750724966594694075993475208169457517791330105181188052685648328481<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:33:17 UTC 2023 年 8 月 16 日 (水) 17 時 33 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 07:08:55 UTC 2023 年 9 月 16 日 (土) 16 時 8 分 55 秒 (日本時間)

23×10245-329

c219

composite cofactor 合成数の残り
101112883553995611569318768164427250689619405315665202317765212155673041375571258240690058101034835729965233372453449597152789199673294117775249418111289192710365838309978721161660382861217476147792323757372541986112623<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:33:08 UTC 2023 年 8 月 16 日 (水) 17 時 33 分 8 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 07:20:52 UTC 2023 年 9 月 16 日 (土) 16 時 20 分 52 秒 (日本時間)

23×10248-329

c225

composite cofactor 合成数の残り
114369390043104592400794297287524113308652207597029702529542030573454186559842337769394590714878996042169144198618625880578271740046435014784446828074386945969360362572574366602083016670141867922898571084609328742073045507483<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:32:59 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 07:33:25 UTC 2023 年 9 月 16 日 (土) 16 時 33 分 25 秒 (日本時間)

23×10249-329

c228

composite cofactor 合成数の残り
396145424270339275579738831470334999804506559719314382108373457194052180773963081951122410019877214518274234601516025427691998852533927414732367710652477085161355194722034263585248260887134543148145993065206809682253497033057161<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:32:51 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 07:49:36 UTC 2023 年 9 月 16 日 (土) 16 時 49 分 36 秒 (日本時間)

23×10252-329

c204

composite cofactor 合成数の残り
798209189788095784629788341918476325737308980690173781467411898872074601064551855090242890493219536513002772403755804878191011086190180491664323631812490523993055299702157298639504618852514373394350017423<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:32:42 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 42 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 07:57:56 UTC 2023 年 9 月 16 日 (土) 16 時 57 分 56 秒 (日本時間)

23×10254-329

c192

composite cofactor 合成数の残り
124288065188374308468651221681229226163279011007370026131145708613366794040310434610926314761903103061634540641357204735563669891855099830371900753743469905238470819537951105180058874719603353<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 5, 2022 15:22:38 UTC 2022 年 6 月 6 日 (月) 0 時 22 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 08:06:35 UTC 2023 年 9 月 16 日 (土) 17 時 6 分 35 秒 (日本時間)

23×10255-329

c219

composite cofactor 合成数の残り
136649207178539476900341512896907402475696442360516019793084240749298189634092051478469315337505920955156373300320975395473274645460795394966816395194045903375461069569171813905289814326330577624025885963607968613964933<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:32:34 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 34 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 08:18:40 UTC 2023 年 9 月 16 日 (土) 17 時 18 分 40 秒 (日本時間)

23×10257-329

c242

composite cofactor 合成数の残り
57196470905349480423631493368385984076261030857288828317384454450943224987774419142054411916325940844497423784240999305468182997355317578921601457568521805011751927782803830391174325262513972735590755518845412001755201461912311062859128498559<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 15, 2023 18:40:10 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 10 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 08:49:24 UTC 2023 年 9 月 16 日 (土) 17 時 49 分 24 秒 (日本時間)

23×10258-329

c218

composite cofactor 合成数の残り
22481028311925672626563811427792299041366909701412472053989061367069719356390467549329447094673816505117665706010227303116022237562263809600891207905965818073966225298382550083381054195747656876377449394049148469921807<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:32:26 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 26 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 08:49:46 UTC 2023 年 9 月 16 日 (土) 17 時 49 分 46 秒 (日本時間)

23×10259-329

c252

composite cofactor 合成数の残り
418514755039747401671159258795375078600710255204038098206066708369660414070783407798389956996771890155874983485043840257619923619819857274677333130233581600653133398863281899835138667694742703533696944775325849037608216270025312354666202239023369689237<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:07:29 UTC 2022 年 6 月 6 日 (月) 0 時 7 分 29 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 09:03:49 UTC 2023 年 9 月 16 日 (土) 18 時 3 分 49 秒 (日本時間)

23×10260-329

c251

composite cofactor 合成数の残り
20744189364454314874638748023432667476486917366788541398362223348091273483083649242372173033066463832335271722049598674773617665744620567965953360160374175061059399404203041869685935215559224097980947802828841825840093007461227604230071281459121280081<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:15:58 UTC 2022 年 6 月 6 日 (月) 0 時 15 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 09:17:00 UTC 2023 年 9 月 16 日 (土) 18 時 17 分 0 秒 (日本時間)

23×10263-329

c219

name 名前Ignacio Santos
date 日付September 16, 2023 09:27:05 UTC 2023 年 9 月 16 日 (土) 18 時 27 分 5 秒 (日本時間)
composite number 合成数
181982453860300227275824446905586894588331050932351588896335626533653598344410084773093988735234582566858075951884781481677149978090040582484510231477885503707726965732616811555124625754198085572159471455379471231779133<219>
prime factors 素因数
2152317196486181537995777043493476824121<40>
84551874676000435953130935331952320989441073040495069319065155254984827653572912538084412086469694370420225462571353829233812621585919212121653244195040327936836185744592087342373<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1734117746
Step 1 took 9531ms
Step 2 took 4297ms
********** Factor found in step 2: 2152317196486181537995777043493476824121
Found prime factor of 40 digits: 2152317196486181537995777043493476824121
Prime cofactor 84551874676000435953130935331952320989441073040495069319065155254984827653572912538084412086469694370420225462571353829233812621585919212121653244195040327936836185744592087342373 has 179 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 16, 2023 08:32:17 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 17 秒 (日本時間)

23×10264-329

c246

name 名前Dmitry Domanov
date 日付August 16, 2023 08:13:02 UTC 2023 年 8 月 16 日 (水) 17 時 13 分 2 秒 (日本時間)
composite number 合成数
304957074980284626603078196564247900537823161175637211335799732217794153391973665959533707177688247924698855172942205916660079179191696813761538715284800132541093410977390420970565633504519752307800646980292622836048692478385318953264244501519019<246>
prime factors 素因数
1037244938980204769531323839118280893<37>
294006809307849087661527932236345573268119183211477944472449200143857807440188249126801634308329964509204146348332435351772126398827190003268061166013458104868609218821920601404571407868572410957600638828309383<210>
factorization results 素因数分解の結果
Resuming ECM residue saved by @49e6712c0069 with GMP-ECM 7.0.5-dev on Tue Aug 15 18:55:49 2023 
Input number is 304957074980284626603078196564247900537823161175637211335799732217794153391973665959533707177688247924698855172942205916660079179191696813761538715284800132541093410977390420970565633504519752307800646980292622836048692478385318953264244501519019 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2873873810
Step 1 took 4ms
Step 2 took 6200ms
********** Factor found in step 2: 1037244938980204769531323839118280893
Found prime factor of 37 digits: 1037244938980204769531323839118280893
Prime cofactor 294006809307849087661527932236345573268119183211477944472449200143857807440188249126801634308329964509204146348332435351772126398827190003268061166013458104868609218821920601404571407868572410957600638828309383 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 15, 2023 18:40:18 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 18 秒 (日本時間)

23×10265-329

c231

composite cofactor 合成数の残り
557672296436822090161319926098999371266738780354187138895308659975489268997180802933200340365188638602927154749146959461988872461512003398112867561343526488702715000655166587520652732415616795906940407929947845010629856082587328589<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 15, 2023 18:40:26 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 26 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 09:46:52 UTC 2023 年 9 月 16 日 (土) 18 時 46 分 52 秒 (日本時間)

23×10266-329

c230

composite cofactor 合成数の残り
12955063730259902620744625713524783603329726377054559615200106459301846508538903451394304378280578891525675609519333675615734375125841100398455602728256034550217386285445922491592513722572253137974430659663349926104006369222258279<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 15, 2023 18:40:33 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 09:55:55 UTC 2023 年 9 月 16 日 (土) 18 時 55 分 55 秒 (日本時間)

23×10267-329

c248

composite cofactor 合成数の残り
93370870267940949419025214399219640664527403599705652096551142247664915574967965468550576961228280442844373930356437843538849182724922404901522760111573043005623374834303445090032153602857070381898958183636715310567259576845160340190491475787217427<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 15, 2023 18:40:40 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 40 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 10:03:04 UTC 2023 年 9 月 16 日 (土) 19 時 3 分 4 秒 (日本時間)

23×10268-329

c203

name 名前Ignacio Santos
date 日付September 16, 2023 10:12:16 UTC 2023 年 9 月 16 日 (土) 19 時 12 分 16 秒 (日本時間)
composite number 合成数
40297852883208567044361642474461926947899663829869402116473945038800587318721125614174075765691758989328342797829257399696214910333796961448628703367258010459508124553090543105968275189943400732074499411<203>
prime factors 素因数
37467186995457327582111104859162619691<38>
composite cofactor 合成数の残り
1075550531404838072776057201441463523445528853877835451873799499741180224029168392719017385528452317929917671814247508683464323729370412100908793935991057521253004921<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:125708624
Step 1 took 8797ms
Step 2 took 3922ms
********** Factor found in step 2: 37467186995457327582111104859162619691
Found prime factor of 38 digits: 37467186995457327582111104859162619691
Composite cofactor 1075550531404838072776057201441463523445528853877835451873799499741180224029168392719017385528452317929917671814247508683464323729370412100908793935991057521253004921 has 166 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:32:10 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 10 秒 (日本時間)
2350Ignacio SantosSeptember 18, 2023 16:12:52 UTC 2023 年 9 月 19 日 (火) 1 時 12 分 52 秒 (日本時間)
4511e64480Ignacio SantosSeptember 24, 2023 08:38:54 UTC 2023 年 9 月 24 日 (日) 17 時 38 分 54 秒 (日本時間)
5043e61792 / 6385Dmitry DomanovSeptember 1, 2024 20:58:35 UTC 2024 年 9 月 2 日 (月) 5 時 58 分 35 秒 (日本時間)

23×10269-329

c251

composite cofactor 合成数の残り
29797997336575917708956837452273936562500934021868234592538370715405204690555898583001536403438132907482451591715727486278489881129516768059234141403864230209274710199358403685465266715492511289740820648505799546701344785139932431910079423576230832757<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:14:53 UTC 2022 年 6 月 6 日 (月) 0 時 14 分 53 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 10:35:41 UTC 2023 年 9 月 16 日 (土) 19 時 35 分 41 秒 (日本時間)

23×10270-329

c266

composite cofactor 合成数の残り
50006957489737702636888610589299380783413344465316913657552355110276212342586794684477840395185417101509775273081472204828497877965630000695748973770263688861058929938078341334446531691365755235511027621234258679468447784039518541710150977527308147220482849787796563<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:15:12 UTC 2022 年 6 月 6 日 (月) 0 時 15 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 10:40:02 UTC 2023 年 9 月 16 日 (土) 19 時 40 分 2 秒 (日本時間)

23×10273-329

c176

composite cofactor 合成数の残り
20686559350428776065015313143920200473235750275668281284020525300514055952183594335394686336822124277451601604106412491232228744815348747282988955969043512804485158180485032887<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 21:33:37 UTC 2022 年 4 月 15 日 (金) 6 時 33 分 37 秒 (日本時間)
4511e64480Ignacio SantosApril 22, 2022 14:12:54 UTC 2022 年 4 月 22 日 (金) 23 時 12 分 54 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 12, 2024 08:19:27 UTC 2024 年 5 月 12 日 (日) 17 時 19 分 27 秒 (日本時間)

23×10274-329

c185

composite cofactor 合成数の残り
37459406297580318135509004765586211291593829775027603600699808263317556470601651968707012319762134134917687808452099608336552429311724104892918861370597491253157359472792585783949761673<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 21:52:50 UTC 2022 年 4 月 15 日 (金) 6 時 52 分 50 秒 (日本時間)
4511e64480Ignacio SantosApril 23, 2022 10:12:03 UTC 2022 年 4 月 23 日 (土) 19 時 12 分 3 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 16, 2024 05:42:16 UTC 2024 年 4 月 16 日 (火) 14 時 42 分 16 秒 (日本時間)

23×10275-329

c233

name 名前Dmitry Domanov
date 日付August 15, 2023 19:48:06 UTC 2023 年 8 月 16 日 (水) 4 時 48 分 6 秒 (日本時間)
composite number 合成数
12887765828213574253832911566865573930196201872958636943865620873837249812641362714038889936769717218314586737283687302441963950871123271516864211906086421381405973248153531597052814297039448977077359978786183993165614390047612633683<233>
prime factors 素因数
293890462715337789311080231698875729<36>
43852276488116799566517334137745413578110867632824079649127579832898293027044439576850777011742628703748154621248379965596630030611043573660807752486861343364523153708335896512053865465480658941027<197>
factorization results 素因数分解の結果
GPU: factor 293890462715337789311080231698875729 found in Step 1 with curve 959 (-sigma 3:1995886717)
Computing 1792 Step 1 took 421ms of CPU time / 265831ms of GPU time
Throughput: 6.741 curves per second (on average 148.34ms per Step 1)
********** Factor found in step 1: 293890462715337789311080231698875729
Found prime factor of 36 digits: 293890462715337789311080231698875729
Prime cofactor 43852276488116799566517334137745413578110867632824079649127579832898293027044439576850777011742628703748154621248379965596630030611043573660807752486861343364523153708335896512053865465480658941027 has 197 digits
Peak memory usage: 9420MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 15, 2023 18:40:47 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 47 秒 (日本時間)

23×10276-329

c209

name 名前Dmitry Domanov
date 日付August 16, 2023 09:31:02 UTC 2023 年 8 月 16 日 (水) 18 時 31 分 2 秒 (日本時間)
composite number 合成数
14691132732823396058377314141291805222749035501224279443594073243532921426687280828148965227433049661624557793001299752501074819161792675682186384575088589542104179275749785721100862678968803693662484169870377<209>
prime factors 素因数
5278209655075495863728581743615662889853481<43>
composite cofactor 合成数の残り
2783355283869121763250251750164689641567330020276710122628885568869423908893976326783616347623296934973967259427393945688573290144481373185914668411403639713963465217<166>
factorization results 素因数分解の結果
GPU: factor 5278209655075495863728581743615662889853481 found in Step 1 with curve 817 (-sigma 3:1981621217)
Computing 1792 Step 1 took 187ms of CPU time / 175185ms of GPU time
Throughput: 10.229 curves per second (on average 97.76ms per Step 1)
********** Factor found in step 1: 5278209655075495863728581743615662889853481
Found prime factor of 43 digits: 5278209655075495863728581743615662889853481
Composite cofactor 2783355283869121763250251750164689641567330020276710122628885568869423908893976326783616347623296934973967259427393945688573290144481373185914668411403639713963465217 has 166 digits
Peak memory usage: 9426MB

c166

name 名前Dmitry Domanov
date 日付August 19, 2023 16:31:23 UTC 2023 年 8 月 20 日 (日) 1 時 31 分 23 秒 (日本時間)
composite number 合成数
2783355283869121763250251750164689641567330020276710122628885568869423908893976326783616347623296934973967259427393945688573290144481373185914668411403639713963465217<166>
prime factors 素因数
276387321666587558213219637885802029563<39>
10070488281031746640731237348728268330077077220596063578042823365258214809553006691684858410064576373651255135893061984701067059<128>
factorization results 素因数分解の結果
Resuming ECM residue saved by @d5521c54081f with GMP-ECM 7.0.5-dev on Wed Aug 16 08:42:29 2023 
Input number is 2783355283869121763250251750164689641567330020276710122628885568869423908893976326783616347623296934973967259427393945688573290144481373185914668411403639713963465217 (166 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1981620907
Step 1 took 0ms
Step 2 took 3880ms
********** Factor found in step 2: 276387321666587558213219637885802029563
Found prime factor of 39 digits: 276387321666587558213219637885802029563
Prime cofactor 10070488281031746640731237348728268330077077220596063578042823365258214809553006691684858410064576373651255135893061984701067059 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 16, 2023 08:32:01 UTC 2023 年 8 月 16 日 (水) 17 時 32 分 1 秒 (日本時間)

23×10277-329

c208

composite cofactor 合成数の残り
5659075071962427076004344946886663843792021318418344531531674206166994151222987891716555213996410031850115287886568244299137617448599433925223375290302332996445228130368025677471215509067274137467100526195261<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 16, 2023 08:31:53 UTC 2023 年 8 月 16 日 (水) 17 時 31 分 53 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 09:35:02 UTC 2023 年 9 月 15 日 (金) 18 時 35 分 2 秒 (日本時間)

23×10278-329

c273

composite cofactor 合成数の残り
228677694101626753460788337517140884549182805346365177994763081954903963322484068124477024056098018815998371019417321281422303671251356158151107038659654414314666870289239501506488878707760247146897778286834209864877333307880511728978355556828196635773304444380812390433557<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:55:26 UTC 2022 年 4 月 23 日 (土) 17 時 55 分 26 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 09:46:38 UTC 2023 年 9 月 15 日 (金) 18 時 46 分 38 秒 (日本時間)

23×10279-329

c257

composite cofactor 合成数の残り
37087492064727875312059089201480096498640630460726013030502293126959579306234046537458640760259001436495805422617973779779721308140983896248852763539854992376995322951677705546651504625712867633269028181532280905763322899580007119898706337957881848007671839<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:15:27 UTC 2022 年 6 月 6 日 (月) 0 時 15 分 27 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 09:58:12 UTC 2023 年 9 月 15 日 (金) 18 時 58 分 12 秒 (日本時間)

23×10280-329

c272

composite cofactor 合成数の残り
26149897967736894399697466691387825165613261458606054030095118066361830347909994099527926943162717428124590549445429517922601606579149152283613378093517921815745297614380918001600311905432043811737339590113456139366444237726544934061854391990787057136833973513760680259571<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:55:35 UTC 2022 年 4 月 23 日 (土) 17 時 55 分 35 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 10:12:29 UTC 2023 年 9 月 15 日 (金) 19 時 12 分 29 秒 (日本時間)

23×10282-329

c239

name 名前Dmitry Domanov
date 日付August 16, 2023 08:13:31 UTC 2023 年 8 月 16 日 (水) 17 時 13 分 31 秒 (日本時間)
composite number 合成数
29775390327811310484336767389435958103129204008168737757190340961722452242278795191833662505750862508503941745354123407332853311583250169007634757188902399351889424936437129804420402556000842801767219136454322706169596808373803231381693939<239>
prime factors 素因数
88866747328840475341063181606613575183401<41>
335056601291269707999489986992247326049991692156664918747385141381734034429425153403509534634888267171142348679048219052266984977287975966519442015494334681794242325902448626574925474874282003121339<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @49e6712c0069 with GMP-ECM 7.0.5-dev on Tue Aug 15 19:18:03 2023 
Input number is 29775390327811310484336767389435958103129204008168737757190340961722452242278795191833662505750862508503941745354123407332853311583250169007634757188902399351889424936437129804420402556000842801767219136454322706169596808373803231381693939 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3307251773
Step 1 took 0ms
Step 2 took 5856ms
********** Factor found in step 2: 88866747328840475341063181606613575183401
Found prime factor of 41 digits: 88866747328840475341063181606613575183401
Prime cofactor 335056601291269707999489986992247326049991692156664918747385141381734034429425153403509534634888267171142348679048219052266984977287975966519442015494334681794242325902448626574925474874282003121339 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 15, 2023 18:40:54 UTC 2023 年 8 月 16 日 (水) 3 時 40 分 54 秒 (日本時間)

23×10285-329

c233

name 名前Dmitry Domanov
date 日付August 16, 2023 13:46:31 UTC 2023 年 8 月 16 日 (水) 22 時 46 分 31 秒 (日本時間)
composite number 合成数
21916363821795286849109961126493574744160717567760324142649206327822598267206895937017163279484568205187495974570397913069198577056738834700449341592766683046203494319048479985218008958560498096454486240262905285746382595986412228613<233>
prime factors 素因数
689028965691417267691441091701812251033<39>
31807608842398892260647413470341964199318188721201222005284991621986060513002371714096387810905708215094647988739734679933433782152004293241211797801510908089899718701373668636367470168242173261<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @55bec15b36d1 with GMP-ECM 7.0.5-dev on Tue Aug 15 20:07:12 2023 
Input number is 21916363821795286849109961126493574744160717567760324142649206327822598267206895937017163279484568205187495974570397913069198577056738834700449341592766683046203494319048479985218008958560498096454486240262905285746382595986412228613 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1861980035
Step 1 took 0ms
Step 2 took 5904ms
********** Factor found in step 2: 689028965691417267691441091701812251033
Found prime factor of 39 digits: 689028965691417267691441091701812251033
Prime cofactor 31807608842398892260647413470341964199318188721201222005284991621986060513002371714096387810905708215094647988739734679933433782152004293241211797801510908089899718701373668636367470168242173261 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 15, 2023 18:41:01 UTC 2023 年 8 月 16 日 (水) 3 時 41 分 1 秒 (日本時間)

23×10286-329

c249

composite cofactor 合成数の残り
716683045304824867948790885723428630472705171739564860317511784761484633368188189385224973302156515561175349368394972105604299410145467054154865867297338454561943059124015532317165568484686867099332800103723087788861150875274815919728311417443397873<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 15, 2023 18:41:09 UTC 2023 年 8 月 16 日 (水) 3 時 41 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 10:31:55 UTC 2023 年 9 月 15 日 (金) 19 時 31 分 55 秒 (日本時間)

23×10287-329

c251

composite cofactor 合成数の残り
80715853280962203174351903956054237860123314081272494580727999260693927314907164712841135918524130157207926836480466192648887660790324922090681066244057176587711932381978878105560410828451901933637996930390533448726324972647571794681618848001084924409<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:17:07 UTC 2022 年 6 月 6 日 (月) 0 時 17 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 10:43:55 UTC 2023 年 9 月 15 日 (金) 19 時 43 分 55 秒 (日本時間)

23×10288-329

c287

name 名前Dmitry Domanov
date 日付April 24, 2022 08:36:08 UTC 2022 年 4 月 24 日 (日) 17 時 36 分 8 秒 (日本時間)
composite number 合成数
79861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<287>
prime factors 素因数
4029728437541232157679152513034324981<37>
composite cofactor 合成数の残り
19817988320780976371136688279486528206999341074105207126881430735629844769818135293119642998966417917371292568647632261391175604081651338571393661485728727097031498470706692853657949623341686986582187472959446138336899658063435475266854425041880550731<251>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8f3575a35c2f with GMP-ECM 7.0.5-dev on Sat Apr 23 09:12:21 2022 
Input number is 79861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (287 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3176166157
Step 1 took 0ms
Step 2 took 16312ms
********** Factor found in step 2: 4029728437541232157679152513034324981
Found prime factor of 37 digits: 4029728437541232157679152513034324981
Composite cofactor 19817988320780976371136688279486528206999341074105207126881430735629844769818135293119642998966417917371292568647632261391175604081651338571393661485728727097031498470706692853657949623341686986582187472959446138336899658063435475266854425041880550731 has 251 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:55:43 UTC 2022 年 4 月 23 日 (土) 17 時 55 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 10:58:55 UTC 2023 年 9 月 15 日 (金) 19 時 58 分 55 秒 (日本時間)

23×10289-329

c229

name 名前Dmitry Domanov
date 日付August 16, 2023 13:45:46 UTC 2023 年 8 月 16 日 (水) 22 時 45 分 46 秒 (日本時間)
composite number 合成数
8815645381971789349597396718697737593334519674841043724216302727129557697963401304655811019058158220236704789030078964865827611176435590289216077156131096364029455719482245949852115388191156034466011436584500426445385920350549019<229>
prime factors 素因数
786733662216541257867099910716881826012717173753<48>
11205374582720426983055779911428300021071349808440300506883938819218901369848613592425250116836862119013713771456833316293769076378538308855312680470504076064138521644170491830975923<182>
factorization results 素因数分解の結果
Resuming ECM residue saved by @55bec15b36d1 with GMP-ECM 7.0.5-dev on Tue Aug 15 20:19:04 2023 
Input number is 8815645381971789349597396718697737593334519674841043724216302727129557697963401304655811019058158220236704789030078964865827611176435590289216077156131096364029455719482245949852115388191156034466011436584500426445385920350549019 (229 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1679326760
Step 1 took 0ms
Step 2 took 5452ms
********** Factor found in step 2: 786733662216541257867099910716881826012717173753
Found prime factor of 48 digits: 786733662216541257867099910716881826012717173753
Prime cofactor 11205374582720426983055779911428300021071349808440300506883938819218901369848613592425250116836862119013713771456833316293769076378538308855312680470504076064138521644170491830975923 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 15, 2023 18:41:29 UTC 2023 年 8 月 16 日 (水) 3 時 41 分 29 秒 (日本時間)

23×10291-329

c277

name 名前Dmitry Domanov
date 日付April 23, 2022 10:30:38 UTC 2022 年 4 月 23 日 (土) 19 時 30 分 38 秒 (日本時間)
composite number 合成数
1892350061850394260116379294958407644240275609658688079429278686749702206360150294194433879561541857502281427573228872189854480825202206976364819977944992721993506863745871596681701505845300438731723009707210346424893033755798920877851965521616583016139490173825226618219172609<277>
prime factors 素因数
2721369281507855418618057970342004633<37>
composite cofactor 合成数の残り
695366878251040426537784898582923598219993691610121804180649625379157770336281681863061300859917742659716733292515970010923184835237598356933941196950576031765026869810478992138979251408485024881341944342689393999104390311291331759775016873<240>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8f3575a35c2f with GMP-ECM 7.0.5-dev on Sat Apr 23 09:16:48 2022 
Input number is 1892350061850394260116379294958407644240275609658688079429278686749702206360150294194433879561541857502281427573228872189854480825202206976364819977944992721993506863745871596681701505845300438731723009707210346424893033755798920877851965521616583016139490173825226618219172609 (277 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1253316703
Step 1 took 0ms
Step 2 took 15968ms
********** Factor found in step 2: 2721369281507855418618057970342004633
Found prime factor of 37 digits: 2721369281507855418618057970342004633
Composite cofactor 695366878251040426537784898582923598219993691610121804180649625379157770336281681863061300859917742659716733292515970010923184835237598356933941196950576031765026869810478992138979251408485024881341944342689393999104390311291331759775016873 has 240 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:55:50 UTC 2022 年 4 月 23 日 (土) 17 時 55 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 11:15:47 UTC 2023 年 9 月 15 日 (金) 20 時 15 分 47 秒 (日本時間)

23×10292-329

c257

name 名前Dmitry Domanov
date 日付June 6, 2022 17:31:34 UTC 2022 年 6 月 7 日 (火) 2 時 31 分 34 秒 (日本時間)
composite number 合成数
16751250322063631546770610926711749634580230983048825547899714715252365768433690216696233371061283245581695770286562421648542542381778731483713747568817827091218687920083456722538822128799665841622386525443176395646309387351131025827031460012901428377027139<257>
prime factors 素因数
1675542291384235699943075523555022353278471<43>
composite cofactor 合成数の残り
9997509706678141618412568920988278762019779754360012897981217526694456978166327621137110295845659465941130907266373711313117944941595203912084650344648656918983883636706039818164659494648841960393941720466665607909<214>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e971f031f34c with GMP-ECM 7.0.5-dev on Sun Jun  5 22:09:08 2022 
Input number is 16751250322063631546770610926711749634580230983048825547899714715252365768433690216696233371061283245581695770286562421648542542381778731483713747568817827091218687920083456722538822128799665841622386525443176395646309387351131025827031460012901428377027139 (257 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:956470336
Step 1 took 0ms
Step 2 took 1112ms
********** Factor found in step 2: 1675542291384235699943075523555022353278471
Found prime factor of 43 digits: 1675542291384235699943075523555022353278471
Composite cofactor 9997509706678141618412568920988278762019779754360012897981217526694456978166327621137110295845659465941130907266373711313117944941595203912084650344648656918983883636706039818164659494648841960393941720466665607909 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:17:21 UTC 2022 年 6 月 6 日 (月) 0 時 17 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 11:26:48 UTC 2023 年 9 月 15 日 (金) 20 時 26 分 48 秒 (日本時間)

23×10293-329

c284

composite cofactor 合成数の残り
94966480439479529462157116717818486799647988093789083702763512425079358053969000940377578085103446098586786330747704257840218909212667019332867153946515388227774863116107858197005366710068231041207959572847892643458555361496259811727006954576046634565578348951048351394385598324454889<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:55:59 UTC 2022 年 4 月 23 日 (土) 17 時 55 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 11:47:39 UTC 2023 年 9 月 15 日 (金) 20 時 47 分 39 秒 (日本時間)

23×10294-329

c280

composite cofactor 合成数の残り
7592908233717041961124878838259258650107897144564494806403889247443127379924502165419705731479404487446731912385031096337773312210691928848247899283995500048809129477710527133140159238549431512524120184626743428373392262812937639560700672849498353207512474675957582609848285743423<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:56:09 UTC 2022 年 4 月 23 日 (土) 17 時 56 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 12:35:50 UTC 2023 年 9 月 15 日 (金) 21 時 35 分 50 秒 (日本時間)

23×10296-329

c265

composite cofactor 合成数の残り
8480997900635251173237987170154715984019512683276560882146313264123886635887372373992303874786321241828763336222653303885659112347352431537102336699361514277089829900600696054596898275553498420780705825317351067370677976881999067542152400171415535114461763101375919<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 15:17:31 UTC 2022 年 6 月 6 日 (月) 0 時 17 分 31 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 12:36:05 UTC 2023 年 9 月 15 日 (金) 21 時 36 分 5 秒 (日本時間)

23×10297-329

c284

name 名前Dmitry Domanov
date 日付April 23, 2022 19:06:34 UTC 2022 年 4 月 24 日 (日) 4 時 6 分 34 秒 (日本時間)
composite number 合成数
30015375281430815490385763894802732019010676265963773579560416984656020842019505970946477458525113120479920085590356839839482861365862164104163091712587701854364003104547478275960817609293681748377651986283446999402632816277669496146477610492204392939680024760120881955035158051082161<284>
prime factors 素因数
6303274437865656912052460143009371763<37>
composite cofactor 合成数の残り
4761870290958532408688181446127003776597131680190327164321365509774151517617237657505998914234885889449818210638926300394675016373324586761685970219093110865033723557776596304886757085761892085522130562631524050345075398303621354058887783161091147<247>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8f3575a35c2f with GMP-ECM 7.0.5-dev on Sat Apr 23 09:30:10 2022 
Input number is 30015375281430815490385763894802732019010676265963773579560416984656020842019505970946477458525113120479920085590356839839482861365862164104163091712587701854364003104547478275960817609293681748377651986283446999402632816277669496146477610492204392939680024760120881955035158051082161 (284 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1740684241
Step 1 took 0ms
Step 2 took 16968ms
********** Factor found in step 2: 6303274437865656912052460143009371763
Found prime factor of 37 digits: 6303274437865656912052460143009371763
Composite cofactor 4761870290958532408688181446127003776597131680190327164321365509774151517617237657505998914234885889449818210638926300394675016373324586761685970219093110865033723557776596304886757085761892085522130562631524050345075398303621354058887783161091147 has 247 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:56:17 UTC 2022 年 4 月 23 日 (土) 17 時 56 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 12:36:17 UTC 2023 年 9 月 15 日 (金) 21 時 36 分 17 秒 (日本時間)

23×10298-329

c263

composite cofactor 合成数の残り
18183473741483862798197610076981667257866458719305981243163547564134380103644427761115309775488492705300728928712519806545434700175948191058932844787464061274071187122137470080105280812453639479698526644607086981794944733409131510351393339146209417461635205406139<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 15, 2023 18:38:47 UTC 2023 年 8 月 16 日 (水) 3 時 38 分 47 秒 (日本時間)
2350Ignacio SantosSeptember 15, 2023 12:49:45 UTC 2023 年 9 月 15 日 (金) 21 時 49 分 45 秒 (日本時間)

23×10300-329

c256

composite cofactor 合成数の残り
1002560058777701146790420739425405502204031017238061317033988217274427851398913097911702036917778104606926648375398796960329518177574049700777901577028934539029720406496932743078883128560360874593102171588881535108793320824343934944704203679518830044358987<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 14, 2022 15:45:01 UTC 2022 年 4 月 15 日 (金) 0 時 45 分 1 秒 (日本時間)
4511e63584Dmitry DomanovApril 17, 2022 15:49:40 UTC 2022 年 4 月 18 日 (月) 0 時 49 分 40 秒 (日本時間)
5043e6130 / 6675NFS@home + Dmitry DomanovApril 18, 2022 22:22:41 UTC 2022 年 4 月 19 日 (火) 7 時 22 分 41 秒 (日本時間)