Table of contents 目次

52×10116-259

c92

name 名前Dmitry Domanov
date 日付April 24, 2022 16:46:41 UTC 2022 年 4 月 25 日 (月) 1 時 46 分 41 秒 (日本時間)
composite number 合成数
28799294574862057592912541815534840598418490524212486176000134640739558978873310145561012959<92>
prime factors 素因数
260969722108054936824594476595980906489<39>
110354926779351295593927131367404314904276775386126231<54>
factorization results 素因数分解の結果
N=28799294574862057592912541815534840598418490524212486176000134640739558978873310145561012959
  ( 92 digits)
SNFS difficulty: 117 digits.
Divisors found:
p39 factor: 260969722108054936824594476595980906489
p54 factor: 110354926779351295593927131367404314904276775386126231
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.75 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 28799294574862057592912541815534840598418490524212486176000134640739558978873310145561012959
m: 100000000000000000000000000000
deg: 4
c4: 52
c0: -25
skew: 0.83
# Murphy_E = 5.278e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54209 x 54434
Total sieving time: 0.74 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.75 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10119-259

c117

name 名前Dmitry Domanov
date 日付April 24, 2022 18:03:14 UTC 2022 年 4 月 25 日 (月) 3 時 3 分 14 秒 (日本時間)
composite number 合成数
110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479<117>
prime factors 素因数
719622194174433370796904866369376827<36>
153663241483805090829342280768339373298114701214504724743633925763240317805579477<81>
factorization results 素因数分解の結果
N=110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479
  ( 117 digits)
SNFS difficulty: 119 digits.
Divisors found:
p36 factor: 719622194174433370796904866369376827
p81 factor: 153663241483805090829342280768339373298114701214504724743633925763240317805579477
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479000531632110579479
m: 200000000000000000000000000000
deg: 4
c4: 130
c0: -1
skew: 0.30
# Murphy_E = 5.436e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53719 x 53945
Total sieving time: 0.76 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.77 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10125-259

c99

name 名前Dmitry Domanov
date 日付April 24, 2022 19:21:18 UTC 2022 年 4 月 25 日 (月) 4 時 21 分 18 秒 (日本時間)
composite number 合成数
139570828219312302635020343498680938633170020947819478145218978167802313844424062284243218899646091<99>
prime factors 素因数
9238080284837644104320929838558951<34>
15108206891034310717393697015644730647193353032704601965833534141<65>
factorization results 素因数分解の結果
N=139570828219312302635020343498680938633170020947819478145218978167802313844424062284243218899646091
  ( 99 digits)
SNFS difficulty: 126 digits.
Divisors found:
p34 factor: 9238080284837644104320929838558951
p65 factor: 15108206891034310717393697015644730647193353032704601965833534141
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 139570828219312302635020343498680938633170020947819478145218978167802313844424062284243218899646091
m: 10000000000000000000000000000000
deg: 4
c4: 104
c0: -5
skew: 0.47
# Murphy_E = 2.464e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 88416 x 88643
Total sieving time: 1.17 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,126.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 1.19 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10127-259

c126

name 名前Dmitry Domanov
date 日付April 24, 2022 19:21:14 UTC 2022 年 4 月 25 日 (月) 4 時 21 分 14 秒 (日本時間)
composite number 合成数
210101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101<126>
prime factors 素因数
40007014821921574599610612912185861449<38>
5251604275805318674024152599531736837080796885927959097693305052724955342275990401255949<88>
factorization results 素因数分解の結果
N=210101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
  ( 126 digits)
SNFS difficulty: 127 digits.
Divisors found:
p38 factor: 40007014821921574599610612912185861449
p88 factor: 5251604275805318674024152599531736837080796885927959097693305052724955342275990401255949
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.33 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 210101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
m: 20000000000000000000000000000000
deg: 4
c4: 130
c0: -1
skew: 0.30
# Murphy_E = 2.253e-08
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105982 x 106207
Total sieving time: 1.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,75000
total time: 1.33 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10128-259

c119

name 名前Dmitry Domanov
date 日付April 24, 2022 21:45:22 UTC 2022 年 4 月 25 日 (月) 6 時 45 分 22 秒 (日本時間)
composite number 合成数
12615635572978995288894261742514394800917098698492774894468505624488822748338271166182370703626374446983129427698055243<119>
prime factors 素因数
50885834345873755292091071113219821400292377206419<50>
247920383642131937645635951545212542439674174234466091834238522235497<69>
factorization results 素因数分解の結果
N=12615635572978995288894261742514394800917098698492774894468505624488822748338271166182370703626374446983129427698055243
  ( 119 digits)
SNFS difficulty: 129 digits.
Divisors found:
p50 factor: 50885834345873755292091071113219821400292377206419
p69 factor: 247920383642131937645635951545212542439674174234466091834238522235497
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12615635572978995288894261742514394800917098698492774894468505624488822748338271166182370703626374446983129427698055243
m: 100000000000000000000000000000000
deg: 4
c4: 52
c0: -25
skew: 0.83
# Murphy_E = 1.409e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118868 x 119094
Total sieving time: 2.47 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.51 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10131-259

c115

name 名前Dmitry Domanov
date 日付April 25, 2022 01:44:52 UTC 2022 年 4 月 25 日 (月) 10 時 44 分 52 秒 (日本時間)
composite number 合成数
3037834448365372517111049769790933513321286726600289619088373703486428006194788112488060085422769316308910384009901<115>
prime factors 素因数
333091538597325612290513337783300937881125203119894757241<57>
9120118935347111369405403044914094366846110247947225570261<58>
factorization results 素因数分解の結果
N=3037834448365372517111049769790933513321286726600289619088373703486428006194788112488060085422769316308910384009901
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
p57 factor: 333091538597325612290513337783300937881125203119894757241
p58 factor: 9120118935347111369405403044914094366846110247947225570261
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.34 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3037834448365372517111049769790933513321286726600289619088373703486428006194788112488060085422769316308910384009901
m: 200000000000000000000000000000000
deg: 4
c4: 130
c0: -1
skew: 0.30
# Murphy_E = 1.439e-08
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113423 x 113648
Total sieving time: 2.29 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 2.34 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10134-259

c100

name 名前Dmitry Domanov
date 日付April 25, 2022 01:44:57 UTC 2022 年 4 月 25 日 (月) 10 時 44 分 57 秒 (日本時間)
composite number 合成数
4924543698383648705951041312428573927529058732106153349283664432608221451540887881244796636117953537<100>
prime factors 素因数
1088161065876388077942280132091331381508744609<46>
4525565059082037126755121833006689687815863937768516193<55>
factorization results 素因数分解の結果
N=4924543698383648705951041312428573927529058732106153349283664432608221451540887881244796636117953537
  ( 100 digits)
Divisors found:
p46 factor: 1088161065876388077942280132091331381508744609
p55 factor: 4525565059082037126755121833006689687815863937768516193
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.45 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4924543698383648705951041312428573927529058732106153349283664432608221451540887881244796636117953537
skew: 625330.35
c0: 772653632312370860954940400
c1: -3820517824708713150470
c2: -10148537639353303
c3: 6611469902
c4: 20328
Y0: -701564707173149211590031
Y1: 2037098317813
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
lss: 0
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158837 x 159067
Total sieving time: 3.38 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 3.45 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10135-259

c111

name 名前Dmitry Domanov
date 日付April 25, 2022 05:40:41 UTC 2022 年 4 月 25 日 (月) 14 時 40 分 41 秒 (日本時間)
composite number 合成数
152321605011207433798243124863253153782706839851587745562683506894478495007314351430252443271326298300553492989<111>
prime factors 素因数
1348589633838445362486643978095969177271781144401<49>
112948817927407292481136969944388993887925744115179785695921389<63>
factorization results 素因数分解の結果
N=152321605011207433798243124863253153782706839851587745562683506894478495007314351430252443271326298300553492989
  ( 111 digits)
SNFS difficulty: 135 digits.
Divisors found:
p49 factor: 1348589633838445362486643978095969177271781144401
p63 factor: 112948817927407292481136969944388993887925744115179785695921389
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.33 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 152321605011207433798243124863253153782706839851587745562683506894478495007314351430252443271326298300553492989
m: 2000000000000000000000000000000000
deg: 4
c4: 130
c0: -1
skew: 0.30
# Murphy_E = 9.152e-09
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [630000, 1330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137467 x 137692
Total sieving time: 3.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,100000
total time: 3.33 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10136-259

c110

name 名前Dmitry Domanov
date 日付April 25, 2022 08:22:27 UTC 2022 年 4 月 25 日 (月) 17 時 22 分 27 秒 (日本時間)
composite number 合成数
69036662939963201839402165338458995112019926238710182963924268538492694358307990161902097817567164805867899467<110>
prime factors 素因数
759049909715998021583823843850765284860439568291427<51>
90951414467322159998505612378786921485917370984995163958521<59>
factorization results 素因数分解の結果
N=69036662939963201839402165338458995112019926238710182963924268538492694358307990161902097817567164805867899467
  ( 110 digits)
SNFS difficulty: 137 digits.
Divisors found:
p51 factor: 759049909715998021583823843850765284860439568291427
p59 factor: 90951414467322159998505612378786921485917370984995163958521
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 69036662939963201839402165338458995112019926238710182963924268538492694358307990161902097817567164805867899467
m: 1000000000000000000000000000
deg: 5
c5: 104
c0: -5
skew: 0.54
# Murphy_E = 6e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1120001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143824 x 144051
Total sieving time: 2.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 2.26 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10137-259

c121

name 名前Dmitry Domanov
date 日付April 25, 2022 10:33:18 UTC 2022 年 4 月 25 日 (月) 19 時 33 分 18 秒 (日本時間)
composite number 合成数
1285846954621691597196518808647885617309829440206706789961581457617964749519635479337862436962057167444883159497628804283<121>
prime factors 素因数
14444002986256103669635032107768412773<38>
89022894542822583934805721517243368061404959747018426290460439129270106185857523871<83>
factorization results 素因数分解の結果
N=1285846954621691597196518808647885617309829440206706789961581457617964749519635479337862436962057167444883159497628804283
  ( 121 digits)
SNFS difficulty: 137 digits.
Divisors found:
p38 factor: 14444002986256103669635032107768412773
p83 factor: 89022894542822583934805721517243368061404959747018426290460439129270106185857523871
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.15 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1285846954621691597196518808647885617309829440206706789961581457617964749519635479337862436962057167444883159497628804283
m: 2000000000000000000000000000
deg: 5
c5: 13
c0: -2
skew: 0.69
# Murphy_E = 6.477e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1065001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158801 x 159026
Total sieving time: 2.09 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,75000
total time: 2.15 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10139-259

c136

name 名前Dmitry Domanov
date 日付April 25, 2022 15:42:13 UTC 2022 年 4 月 26 日 (火) 0 時 42 分 13 秒 (日本時間)
composite number 合成数
3964170001905850962454736039641700019058509624547360396417000190585096245473603964170001905850962454736039641700019058509624547360396417<136>
prime factors 素因数
4514260762381726910055273417162463124370201800872802801579320689479<67>
878143778254925684640195372564137613315973012806335881241535019269623<69>
factorization results 素因数分解の結果
N=3964170001905850962454736039641700019058509624547360396417000190585096245473603964170001905850962454736039641700019058509624547360396417
  ( 136 digits)
SNFS difficulty: 139 digits.
Divisors found:
p67 factor: 4514260762381726910055273417162463124370201800872802801579320689479
p69 factor: 878143778254925684640195372564137613315973012806335881241535019269623
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.61 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3964170001905850962454736039641700019058509624547360396417000190585096245473603964170001905850962454736039641700019058509624547360396417
m: 20000000000000000000000000000000000
deg: 4
c4: 130
c0: -1
skew: 0.30
# Murphy_E = 5.792e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 184806 x 185031
Total sieving time: 4.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 4.61 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10140-259

c95

name 名前Ignacio Santos
date 日付April 24, 2022 15:46:23 UTC 2022 年 4 月 25 日 (月) 0 時 46 分 23 秒 (日本時間)
composite number 合成数
18269840475780096569685775252334926640967885964363360874475028744985240194724494970674577890321<95>
prime factors 素因数
388549391856965317603713004297156376779<39>
47020638453362136922178140704828642553707954057812954899<56>
factorization results 素因数分解の結果
prp56 = 47020638453362136922178140704828642553707954057812954899
prp39 = 388549391856965317603713004297156376779
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10141-259

c132

name 名前Taiyo Kodama
date 日付April 25, 2022 13:20:02 UTC 2022 年 4 月 25 日 (月) 22 時 20 分 2 秒 (日本時間)
composite number 合成数
172794914617483944448355964712380465012895702338915635792953909683279383508623934040830198354450119262879766307146418790806493654391<132>
prime factors 素因数
24984456488216641861335907850839574116596313<44>
6916096601860392185424353272063481119795894180601446141913437569153148281134523336035407<88>
factorization results 素因数分解の結果
Mon Apr 25 22:15:49 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 22:15:49 2022  random seeds: 5b492c98 a89000bc
Mon Apr 25 22:15:49 2022  factoring 172794914617483944448355964712380465012895702338915635792953909683279383508623934040830198354450119262879766307146418790806493654391 (132 digits)
Mon Apr 25 22:15:49 2022  searching for 15-digit factors
Mon Apr 25 22:15:49 2022  commencing number field sieve (132-digit input)
Mon Apr 25 22:15:49 2022  R0: -100000000000000000000000000000000000
Mon Apr 25 22:15:49 2022  R1: 1
Mon Apr 25 22:15:49 2022  A0: -5
Mon Apr 25 22:15:49 2022  A1: 0
Mon Apr 25 22:15:49 2022  A2: 0
Mon Apr 25 22:15:49 2022  A3: 0
Mon Apr 25 22:15:49 2022  A4: 104
Mon Apr 25 22:15:49 2022  skew 0.47, size 1.215e-14, alpha 0.002, combined = 4.022e-09 rroots = 2
Mon Apr 25 22:15:49 2022  
Mon Apr 25 22:15:49 2022  commencing square root phase
Mon Apr 25 22:15:49 2022  reading relations for dependency 1
Mon Apr 25 22:15:49 2022  read 91181 cycles
Mon Apr 25 22:15:50 2022  cycles contain 258054 unique relations
Mon Apr 25 22:15:52 2022  read 258054 relations
Mon Apr 25 22:15:52 2022  multiplying 258054 relations
Mon Apr 25 22:15:55 2022  multiply complete, coefficients have about 7.03 million bits
Mon Apr 25 22:15:55 2022  initial square root is modulo 121046501
Mon Apr 25 22:15:58 2022  GCD is N, no factor found
Mon Apr 25 22:15:58 2022  reading relations for dependency 2
Mon Apr 25 22:15:58 2022  read 91195 cycles
Mon Apr 25 22:15:58 2022  cycles contain 258566 unique relations
Mon Apr 25 22:16:01 2022  read 258566 relations
Mon Apr 25 22:16:01 2022  multiplying 258566 relations
Mon Apr 25 22:16:04 2022  multiply complete, coefficients have about 7.04 million bits
Mon Apr 25 22:16:04 2022  initial square root is modulo 125335801
Mon Apr 25 22:16:07 2022  GCD is N, no factor found
Mon Apr 25 22:16:07 2022  reading relations for dependency 3
Mon Apr 25 22:16:07 2022  read 90962 cycles
Mon Apr 25 22:16:07 2022  cycles contain 257740 unique relations
Mon Apr 25 22:16:09 2022  read 257740 relations
Mon Apr 25 22:16:10 2022  multiplying 257740 relations
Mon Apr 25 22:16:12 2022  multiply complete, coefficients have about 7.02 million bits
Mon Apr 25 22:16:12 2022  initial square root is modulo 118162453
Mon Apr 25 22:16:15 2022  sqrtTime: 26
Mon Apr 25 22:16:15 2022  p44 factor: 24984456488216641861335907850839574116596313
Mon Apr 25 22:16:15 2022  p88 factor: 6916096601860392185424353272063481119795894180601446141913437569153148281134523336035407
Mon Apr 25 22:16:15 2022  elapsed time 00:00:26
Mon Apr 25 22:16:15 2022 -> Computing time scale for this machine...
Mon Apr 25 22:16:15 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10142-259

c107

name 名前Ignacio Santos
date 日付April 25, 2022 20:30:23 UTC 2022 年 4 月 26 日 (火) 5 時 30 分 23 秒 (日本時間)
composite number 合成数
26201414826574551049294033385029448854697082168617146137029070186743370278331287599795139360769350217552077<107>
prime factors 素因数
68944788508280575630013191142168017488263469501283<50>
380034740746614149617838615320385330466888468103676731919<57>
factorization results 素因数分解の結果
N=26201414826574551049294033385029448854697082168617146137029070186743370278331287599795139360769350217552077
  ( 107 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=68944788508280575630013191142168017488263469501283 (pp50)
 r2=380034740746614149617838615320385330466888468103676731919 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.48 hours.
Scaled time: 27.38 units (timescale=7.874).
Factorization parameters were as follows:
n: 26201414826574551049294033385029448854697082168617146137029070186743370278331287599795139360769350217552077
m: 10000000000000000000000000000
deg: 5
c5: 208
c0: -1
skew: 0.34
# Murphy_E = 4.229e-09
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [825000, 1525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175490 x 175715
Total sieving time: 3.45 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,142.000,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 3.48 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10143-259

c137

name 名前Ignacio Santos
date 日付April 25, 2022 21:27:40 UTC 2022 年 4 月 26 日 (火) 6 時 27 分 40 秒 (日本時間)
composite number 合成数
93249749279219786520838404909240646669078607297061870760330660024415294931472642182331055439217527007682793045182641738498114158315658471<137>
prime factors 素因数
627215444253332777309627685806562624485041<42>
1874682451230138458386910536314775378219113221<46>
79305483116053378286175894634157429167251368392811<50>
factorization results 素因数分解の結果
N=93249749279219786520838404909240646669078607297061870760330660024415294931472642182331055439217527007682793045182641738498114158315658471
  ( 137 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=627215444253332777309627685806562624485041 (pp42)
 r2=1874682451230138458386910536314775378219113221 (pp46)
 r3=79305483116053378286175894634157429167251368392811 (pp50)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.36 hours.
Scaled time: 26.54 units (timescale=7.893).
Factorization parameters were as follows:
n: 93249749279219786520838404909240646669078607297061870760330660024415294931472642182331055439217527007682793045182641738498114158315658471
m: 20000000000000000000000000000
deg: 5
c5: 65
c0: -1
skew: 0.43
# Murphy_E = 3.86e-09
type: snfs
lss: 1
rlim: 1710000
alim: 1710000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1710000/1710000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [855000, 1555001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195736 x 195961
Total sieving time: 3.32 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,143.000,5,0,0,0,0,0,0,0,0,1710000,1710000,26,26,48,48,2.3,2.3,100000
total time: 3.36 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10144-259

c115

name 名前Ignacio Santos
date 日付April 25, 2022 21:37:12 UTC 2022 年 4 月 26 日 (火) 6 時 37 分 12 秒 (日本時間)
composite number 合成数
4050048227817269164050456424695337414887798063749261496563923335099166271299037689935829848420264718906054296120553<115>
prime factors 素因数
66399314674501989326712921922691122527751470498445841<53>
60995331769177563281713091660171958346988390574201357574335833<62>
factorization results 素因数分解の結果
N=4050048227817269164050456424695337414887798063749261496563923335099166271299037689935829848420264718906054296120553
  ( 115 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=66399314674501989326712921922691122527751470498445841 (pp53)
 r2=60995331769177563281713091660171958346988390574201357574335833 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.82 hours.
Scaled time: 30.19 units (timescale=7.905).
Factorization parameters were as follows:
n: 4050048227817269164050456424695337414887798063749261496563923335099166271299037689935829848420264718906054296120553
m: 20000000000000000000000000000
deg: 5
c5: 650
c0: -1
skew: 0.27
# Murphy_E = 3.37e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [890000, 1690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201216 x 201441
Total sieving time: 3.78 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,144.000,5,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
total time: 3.82 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10145-259

c114

name 名前Taiyo Kodama
date 日付April 28, 2022 14:38:53 UTC 2022 年 4 月 28 日 (木) 23 時 38 分 53 秒 (日本時間)
composite number 合成数
175552469994979760653339537353025109078408332678011839745618188062082250079162126635780732645838350423776642061617<114>
prime factors 素因数
65254399008087945638035477998142773313<38>
2690277937786553500267709168845473904531922692298004285722449879044161978609<76>
factorization results 素因数分解の結果
Thu Apr 28 21:15:17 2022  Msieve v. 1.53 (SVN unknown)
Thu Apr 28 21:15:17 2022  random seeds: d5fb0a40 d7443231
Thu Apr 28 21:15:17 2022  factoring 175552469994979760653339537353025109078408332678011839745618188062082250079162126635780732645838350423776642061617 (114 digits)
Thu Apr 28 21:15:18 2022  searching for 15-digit factors
Thu Apr 28 21:15:18 2022  commencing number field sieve (114-digit input)
Thu Apr 28 21:15:18 2022  R0: -1000000000000000000000000000000000000
Thu Apr 28 21:15:18 2022  R1: 1
Thu Apr 28 21:15:18 2022  A0: -5
Thu Apr 28 21:15:18 2022  A1: 0
Thu Apr 28 21:15:18 2022  A2: 0
Thu Apr 28 21:15:18 2022  A3: 0
Thu Apr 28 21:15:18 2022  A4: 104
Thu Apr 28 21:15:18 2022  skew 0.47, size 4.836e-15, alpha 0.002, combined = 2.527e-09 rroots = 2
Thu Apr 28 21:15:18 2022  
Thu Apr 28 21:15:18 2022  commencing square root phase
Thu Apr 28 21:15:18 2022  reading relations for dependency 1
Thu Apr 28 21:15:18 2022  read 109289 cycles
Thu Apr 28 21:15:18 2022  cycles contain 317702 unique relations
Thu Apr 28 21:15:21 2022  read 317702 relations
Thu Apr 28 21:15:21 2022  multiplying 317702 relations
Thu Apr 28 21:15:25 2022  multiply complete, coefficients have about 8.71 million bits
Thu Apr 28 21:15:25 2022  initial square root is modulo 100981
Thu Apr 28 21:15:28 2022  sqrtTime: 10
Thu Apr 28 21:15:28 2022  p38 factor: 65254399008087945638035477998142773313
Thu Apr 28 21:15:28 2022  p76 factor: 2690277937786553500267709168845473904531922692298004285722449879044161978609
Thu Apr 28 21:15:28 2022  elapsed time 00:00:11
Thu Apr 28 21:15:28 2022 -> Computing time scale for this machine...
Thu Apr 28 21:15:28 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10146-259

c136

name 名前Taiyo Kodama
date 日付April 26, 2022 05:26:02 UTC 2022 年 4 月 26 日 (火) 14 時 26 分 2 秒 (日本時間)
composite number 合成数
7373631069922309989797759325798486540803918193725268549149311665217088611397817827818713750915261749657871468051602076463841717992223351<136>
prime factors 素因数
12370265844787630353378218080660105253286623<44>
596077009373996897609752511791060554341649793601984861736051881533809884208503940590053772137<93>
factorization results 素因数分解の結果
Tue Apr 26 14:21:46 2022  Msieve v. 1.53 (SVN unknown)
Tue Apr 26 14:21:46 2022  random seeds: 065fdfac c6d6996a
Tue Apr 26 14:21:46 2022  factoring 7373631069922309989797759325798486540803918193725268549149311665217088611397817827818713750915261749657871468051602076463841717992223351 (136 digits)
Tue Apr 26 14:21:46 2022  searching for 15-digit factors
Tue Apr 26 14:21:46 2022  commencing number field sieve (136-digit input)
Tue Apr 26 14:21:46 2022  R0: -100000000000000000000000000000
Tue Apr 26 14:21:46 2022  R1: 1
Tue Apr 26 14:21:46 2022  A0: -5
Tue Apr 26 14:21:46 2022  A1: 0
Tue Apr 26 14:21:46 2022  A2: 0
Tue Apr 26 14:21:46 2022  A3: 0
Tue Apr 26 14:21:46 2022  A4: 0
Tue Apr 26 14:21:46 2022  A5: 104
Tue Apr 26 14:21:46 2022  skew 0.54, size 3.577e-10, alpha -0.584, combined = 2.550e-09 rroots = 1
Tue Apr 26 14:21:46 2022  
Tue Apr 26 14:21:46 2022  commencing square root phase
Tue Apr 26 14:21:46 2022  reading relations for dependency 1
Tue Apr 26 14:21:46 2022  read 112843 cycles
Tue Apr 26 14:21:46 2022  cycles contain 323382 unique relations
Tue Apr 26 14:21:49 2022  read 323382 relations
Tue Apr 26 14:21:50 2022  multiplying 323382 relations
Tue Apr 26 14:21:54 2022  multiply complete, coefficients have about 8.50 million bits
Tue Apr 26 14:21:54 2022  initial square root is modulo 77431
Tue Apr 26 14:21:59 2022  GCD is 1, no factor found
Tue Apr 26 14:21:59 2022  reading relations for dependency 2
Tue Apr 26 14:21:59 2022  read 111993 cycles
Tue Apr 26 14:22:00 2022  cycles contain 322408 unique relations
Tue Apr 26 14:22:02 2022  read 322408 relations
Tue Apr 26 14:22:03 2022  multiplying 322408 relations
Tue Apr 26 14:22:07 2022  multiply complete, coefficients have about 8.48 million bits
Tue Apr 26 14:22:07 2022  initial square root is modulo 74891
Tue Apr 26 14:22:12 2022  GCD is 1, no factor found
Tue Apr 26 14:22:12 2022  reading relations for dependency 3
Tue Apr 26 14:22:12 2022  read 112019 cycles
Tue Apr 26 14:22:12 2022  cycles contain 323312 unique relations
Tue Apr 26 14:22:15 2022  read 323312 relations
Tue Apr 26 14:22:16 2022  multiplying 323312 relations
Tue Apr 26 14:22:20 2022  multiply complete, coefficients have about 8.50 million bits
Tue Apr 26 14:22:20 2022  initial square root is modulo 77351
Tue Apr 26 14:22:25 2022  GCD is N, no factor found
Tue Apr 26 14:22:25 2022  reading relations for dependency 4
Tue Apr 26 14:22:25 2022  read 111993 cycles
Tue Apr 26 14:22:25 2022  cycles contain 322736 unique relations
Tue Apr 26 14:22:28 2022  read 322736 relations
Tue Apr 26 14:22:28 2022  multiplying 322736 relations
Tue Apr 26 14:22:32 2022  multiply complete, coefficients have about 8.49 million bits
Tue Apr 26 14:22:32 2022  initial square root is modulo 75781
Tue Apr 26 14:22:37 2022  GCD is 1, no factor found
Tue Apr 26 14:22:37 2022  reading relations for dependency 5
Tue Apr 26 14:22:37 2022  read 111886 cycles
Tue Apr 26 14:22:38 2022  cycles contain 321788 unique relations
Tue Apr 26 14:22:40 2022  read 321788 relations
Tue Apr 26 14:22:41 2022  multiplying 321788 relations
Tue Apr 26 14:22:45 2022  multiply complete, coefficients have about 8.46 million bits
Tue Apr 26 14:22:45 2022  initial square root is modulo 73331
Tue Apr 26 14:22:50 2022  sqrtTime: 64
Tue Apr 26 14:22:50 2022  p44 factor: 12370265844787630353378218080660105253286623
Tue Apr 26 14:22:50 2022  p93 factor: 596077009373996897609752511791060554341649793601984861736051881533809884208503940590053772137
Tue Apr 26 14:22:50 2022  elapsed time 00:01:04
Tue Apr 26 14:22:50 2022 -> Computing time scale for this machine...
Tue Apr 26 14:22:50 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10155-259

c121

name 名前Taiyo Kodama
date 日付April 30, 2022 10:20:56 UTC 2022 年 4 月 30 日 (土) 19 時 20 分 56 秒 (日本時間)
composite number 合成数
2247344743009532912296235588150629694280103624211174446314270913961015593496308453886107806901596595021936864549413744251<121>
prime factors 素因数
499228299504004230160083094554756838204128194244287617<54>
4501637317520513118226512701040048535719151735061410020058434174203<67>
factorization results 素因数分解の結果
Sat Apr 30 18:36:47 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr 30 18:36:47 2022  random seeds: 24feb294 6b9615a1
Sat Apr 30 18:36:47 2022  factoring 2247344743009532912296235588150629694280103624211174446314270913961015593496308453886107806901596595021936864549413744251 (121 digits)
Sat Apr 30 18:36:47 2022  searching for 15-digit factors
Sat Apr 30 18:36:47 2022  commencing number field sieve (121-digit input)
Sat Apr 30 18:36:47 2022  R0: -10000000000000000000000000000000
Sat Apr 30 18:36:47 2022  R1: 1
Sat Apr 30 18:36:47 2022  A0: -25
Sat Apr 30 18:36:47 2022  A1: 0
Sat Apr 30 18:36:47 2022  A2: 0
Sat Apr 30 18:36:47 2022  A3: 0
Sat Apr 30 18:36:47 2022  A4: 0
Sat Apr 30 18:36:47 2022  A5: 52
Sat Apr 30 18:36:47 2022  skew 0.86, size 7.296e-11, alpha -0.648, combined = 1.032e-09 rroots = 1
Sat Apr 30 18:36:47 2022  
Sat Apr 30 18:36:47 2022  commencing square root phase
Sat Apr 30 18:36:47 2022  reading relations for dependency 1
Sat Apr 30 18:36:47 2022  read 203185 cycles
Sat Apr 30 18:36:48 2022  cycles contain 692396 unique relations
Sat Apr 30 18:36:53 2022  read 692396 relations
Sat Apr 30 18:36:55 2022  multiplying 692396 relations
Sat Apr 30 18:37:05 2022  multiply complete, coefficients have about 18.54 million bits
Sat Apr 30 18:37:05 2022  initial square root is modulo 211051
Sat Apr 30 18:37:15 2022  GCD is N, no factor found
Sat Apr 30 18:37:15 2022  reading relations for dependency 2
Sat Apr 30 18:37:16 2022  read 203428 cycles
Sat Apr 30 18:37:16 2022  cycles contain 693334 unique relations
Sat Apr 30 18:37:21 2022  read 693334 relations
Sat Apr 30 18:37:23 2022  multiplying 693334 relations
Sat Apr 30 18:37:33 2022  multiply complete, coefficients have about 18.56 million bits
Sat Apr 30 18:37:33 2022  initial square root is modulo 214631
Sat Apr 30 18:37:44 2022  sqrtTime: 57
Sat Apr 30 18:37:44 2022  p54 factor: 499228299504004230160083094554756838204128194244287617
Sat Apr 30 18:37:44 2022  p67 factor: 4501637317520513118226512701040048535719151735061410020058434174203
Sat Apr 30 18:37:44 2022  elapsed time 00:00:57
Sat Apr 30 18:37:44 2022 -> Computing time scale for this machine...
Sat Apr 30 18:37:44 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10156-259

c114

name 名前Taiyo Kodama
date 日付April 26, 2022 02:48:42 UTC 2022 年 4 月 26 日 (火) 11 時 48 分 42 秒 (日本時間)
composite number 合成数
186028932170751420226937098273303367352883951978882848228212650528398911978709149082944630066465840337235552573591<114>
prime factors 素因数
16862224448083414177893216254388711719<38>
11032288933379471697284741421476085445521369243231300939105516971980868297489<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), 2 threads
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Run 1424 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2203063613
Step 1 took 2437ms
Step 2 took 1578ms
********** Factor found in step 2: 16862224448083414177893216254388711719
Found prime factor of 38 digits: 16862224448083414177893216254388711719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10159-259

c121

name 名前Taiyo Kodama
date 日付May 2, 2022 02:47:21 UTC 2022 年 5 月 2 日 (月) 11 時 47 分 21 秒 (日本時間)
composite number 合成数
2374363910946425640408247565957378151663400768056370844351636148903689853293907888596158182429915797513089830546203347513<121>
prime factors 素因数
53640072306537190045730011520534784953826626822669<50>
44264741057350487870079164894262240344322491637593233460212615752858077<71>
factorization results 素因数分解の結果
Mon May  2 11:45:27 2022  Msieve v. 1.53 (SVN unknown)
Mon May  2 11:45:27 2022  random seeds: 5478014c 1e1e3b22
Mon May  2 11:45:27 2022  factoring 2374363910946425640408247565957378151663400768056370844351636148903689853293907888596158182429915797513089830546203347513 (121 digits)
Mon May  2 11:45:27 2022  searching for 15-digit factors
Mon May  2 11:45:27 2022  commencing number field sieve (121-digit input)
Mon May  2 11:45:27 2022  R0: -20000000000000000000000000000000
Mon May  2 11:45:27 2022  R1: 1
Mon May  2 11:45:27 2022  A0: -1
Mon May  2 11:45:27 2022  A1: 0
Mon May  2 11:45:27 2022  A2: 0
Mon May  2 11:45:27 2022  A3: 0
Mon May  2 11:45:27 2022  A4: 0
Mon May  2 11:45:27 2022  A5: 650
Mon May  2 11:45:27 2022  skew 0.27, size 5.879e-11, alpha -0.921, combined = 9.056e-10 rroots = 1
Mon May  2 11:45:27 2022  
Mon May  2 11:45:27 2022  commencing square root phase
Mon May  2 11:45:27 2022  reading relations for dependency 1
Mon May  2 11:45:27 2022  read 230367 cycles
Mon May  2 11:45:28 2022  cycles contain 785962 unique relations
Mon May  2 11:45:34 2022  read 785962 relations
Mon May  2 11:45:36 2022  multiplying 785962 relations
Mon May  2 11:45:49 2022  multiply complete, coefficients have about 23.33 million bits
Mon May  2 11:45:49 2022  initial square root is modulo 5033981
Mon May  2 11:46:05 2022  sqrtTime: 38
Mon May  2 11:46:05 2022  p50 factor: 53640072306537190045730011520534784953826626822669
Mon May  2 11:46:05 2022  p71 factor: 44264741057350487870079164894262240344322491637593233460212615752858077
Mon May  2 11:46:05 2022  elapsed time 00:00:38
Mon May 02 11:46:05 2022 -> Computing time scale for this machine...
Mon May 02 11:46:05 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62200ebinaMay 1, 2022 11:03:04 UTC 2022 年 5 月 1 日 (日) 20 時 3 分 4 秒 (日本時間)

52×10164-259

c124

name 名前ebina
date 日付May 1, 2022 08:28:47 UTC 2022 年 5 月 1 日 (日) 17 時 28 分 47 秒 (日本時間)
composite number 合成数
4024582949044099401578904522251231274491637786793136091389409975334123505486886331214130300514286311856966128893133951862243<124>
prime factors 素因数
52919570039180520337926949237563559<35>
76050938170215367809722497309777636521579866910881359067035630733315984582554923939019877<89>
factorization results 素因数分解の結果
Input number is 4024582949044099401578904522251231274491637786793136091389409975334123505486886331214130300514286311856966128893133951862243 (124 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3641628767
Step 1 took 5921ms
Step 2 took 4954ms
********** Factor found in step 2: 52919570039180520337926949237563559
Found probable prime factor of 35 digits: 52919570039180520337926949237563559
Probable prime cofactor 76050938170215367809722497309777636521579866910881359067035630733315984582554923939019877 has 89 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10165-259

c124

name 名前Taiyo Kodama
date 日付May 6, 2022 13:34:04 UTC 2022 年 5 月 6 日 (金) 22 時 34 分 4 秒 (日本時間)
composite number 合成数
7712397313959528087149186691560944770120763643603595237213662403717987228718729192312305446532492141937061658163896895140757<124>
prime factors 素因数
222975567653041069496344638051503131764832564255381<51>
34588530910078577664628598541275069134529541211966377455127386580047344897<74>
factorization results 素因数分解の結果
Fri May  6 22:15:27 2022  Msieve v. 1.53 (SVN unknown)
Fri May  6 22:15:27 2022  random seeds: fcc0e2b0 0fb1d354
Fri May  6 22:15:27 2022  factoring 7712397313959528087149186691560944770120763643603595237213662403717987228718729192312305446532492141937061658163896895140757 (124 digits)
Fri May  6 22:15:28 2022  searching for 15-digit factors
Fri May  6 22:15:28 2022  commencing number field sieve (124-digit input)
Fri May  6 22:15:28 2022  R0: -1000000000000000000000000000000000
Fri May  6 22:15:28 2022  R1: 1
Fri May  6 22:15:28 2022  A0: -25
Fri May  6 22:15:28 2022  A1: 0
Fri May  6 22:15:28 2022  A2: 0
Fri May  6 22:15:28 2022  A3: 0
Fri May  6 22:15:28 2022  A4: 0
Fri May  6 22:15:28 2022  A5: 52
Fri May  6 22:15:28 2022  skew 0.86, size 1.572e-11, alpha -0.648, combined = 4.215e-10 rroots = 1
Fri May  6 22:15:28 2022  
Fri May  6 22:15:28 2022  commencing square root phase
Fri May  6 22:15:28 2022  reading relations for dependency 1
Fri May  6 22:15:28 2022  read 292431 cycles
Fri May  6 22:15:28 2022  cycles contain 967998 unique relations
Fri May  6 22:15:36 2022  read 967998 relations
Fri May  6 22:15:39 2022  multiplying 967998 relations
Fri May  6 22:15:55 2022  multiply complete, coefficients have about 26.27 million bits
Fri May  6 22:15:55 2022  initial square root is modulo 35065451
Fri May  6 22:16:12 2022  sqrtTime: 44
Fri May  6 22:16:12 2022  p51 factor: 222975567653041069496344638051503131764832564255381
Fri May  6 22:16:12 2022  p74 factor: 34588530910078577664628598541275069134529541211966377455127386580047344897
Fri May  6 22:16:12 2022  elapsed time 00:00:45
Fri May 06 22:16:12 2022 -> Computing time scale for this machine...
Fri May 06 22:16:12 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 2, 2022 04:34:29 UTC 2022 年 5 月 2 日 (月) 13 時 34 分 29 秒 (日本時間)

52×10166-259

c158

name 名前Bob Backstrom
date 日付April 27, 2022 08:35:42 UTC 2022 年 4 月 27 日 (水) 17 時 35 分 42 秒 (日本時間)
composite number 合成数
12416562127720090221199854435627795878110761977083432997883849495223381083246656327717735969386426431213643571095222126055351592927829223922561163744768732991<158>
prime factors 素因数
230505229120217919906368087318981191074955306505332897884473<60>
53866726473456029114184129999220522802664028000303385061640427314956917233491872200251613983962167<98>
factorization results 素因数分解の結果
Number: n
N=12416562127720090221199854435627795878110761977083432997883849495223381083246656327717735969386426431213643571095222126055351592927829223922561163744768732991  ( 158 digits)
SNFS difficulty: 167 digits.
Divisors found:

Wed Apr 27 18:32:03 2022  p60 factor: 230505229120217919906368087318981191074955306505332897884473
Wed Apr 27 18:32:03 2022  p98 factor: 53866726473456029114184129999220522802664028000303385061640427314956917233491872200251613983962167
Wed Apr 27 18:32:03 2022  elapsed time 00:08:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 52x10^166-25 = 57(165)5
#
n: 12416562127720090221199854435627795878110761977083432997883849495223381083246656327717735969386426431213643571095222126055351592927829223922561163744768732991
m: 1000000000000000000000000000000000
deg: 5
c5: 104
c0: -5
skew: 0.54
# Murphy_E = 4.331e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1556369 hash collisions in 14587728 relations (13933853 unique)
Msieve: matrix is 485624 x 485850 (164.5 MB)

Sieving start time : 2022/04/27 17:45:58
Sieving end time  : 2022/04/27 18:23:31

Total sieving time: 0hrs 37min 33secs.

Total relation processing time: 0hrs 3min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10167-259

c123

name 名前Taiyo Kodama
date 日付May 7, 2022 07:14:47 UTC 2022 年 5 月 7 日 (土) 16 時 14 分 47 秒 (日本時間)
composite number 合成数
148547210725862960283790779188413681033905871358917883702755614607816695382270554766869462639072919224812968133362168799171<123>
prime factors 素因数
9072004039373413361966494356381976368112463688303327979<55>
16374244332470870790133916865501562081402347287430327413620685555849<68>
factorization results 素因数分解の結果
Sat May  7 16:10:05 2022  Msieve v. 1.53 (SVN unknown)
Sat May  7 16:10:05 2022  random seeds: c0227a40 ba66d75b
Sat May  7 16:10:05 2022  factoring 148547210725862960283790779188413681033905871358917883702755614607816695382270554766869462639072919224812968133362168799171 (123 digits)
Sat May  7 16:10:05 2022  searching for 15-digit factors
Sat May  7 16:10:05 2022  commencing number field sieve (123-digit input)
Sat May  7 16:10:05 2022  R0: -1000000000000000000000000000000000
Sat May  7 16:10:05 2022  R1: 1
Sat May  7 16:10:05 2022  A0: -1
Sat May  7 16:10:05 2022  A1: 0
Sat May  7 16:10:05 2022  A2: 0
Sat May  7 16:10:05 2022  A3: 0
Sat May  7 16:10:05 2022  A4: 0
Sat May  7 16:10:05 2022  A5: 208
Sat May  7 16:10:05 2022  skew 0.34, size 1.905e-11, alpha -0.768, combined = 4.658e-10 rroots = 1
Sat May  7 16:10:05 2022  
Sat May  7 16:10:05 2022  commencing square root phase
Sat May  7 16:10:05 2022  reading relations for dependency 1
Sat May  7 16:10:05 2022  read 279228 cycles
Sat May  7 16:10:05 2022  cycles contain 905574 unique relations
Sat May  7 16:10:13 2022  read 905574 relations
Sat May  7 16:10:15 2022  multiplying 905574 relations
Sat May  7 16:10:29 2022  multiply complete, coefficients have about 25.81 million bits
Sat May  7 16:10:30 2022  initial square root is modulo 25791691
Sat May  7 16:10:46 2022  GCD is 1, no factor found
Sat May  7 16:10:46 2022  reading relations for dependency 2
Sat May  7 16:10:46 2022  read 280018 cycles
Sat May  7 16:10:46 2022  cycles contain 905382 unique relations
Sat May  7 16:10:54 2022  read 905382 relations
Sat May  7 16:10:56 2022  multiplying 905382 relations
Sat May  7 16:11:10 2022  multiply complete, coefficients have about 25.80 million bits
Sat May  7 16:11:10 2022  initial square root is modulo 25681151
Sat May  7 16:11:26 2022  GCD is N, no factor found
Sat May  7 16:11:26 2022  reading relations for dependency 3
Sat May  7 16:11:26 2022  read 280243 cycles
Sat May  7 16:11:27 2022  cycles contain 906778 unique relations
Sat May  7 16:11:34 2022  read 906778 relations
Sat May  7 16:11:36 2022  multiplying 906778 relations
Sat May  7 16:11:50 2022  multiply complete, coefficients have about 25.84 million bits
Sat May  7 16:11:51 2022  initial square root is modulo 26393921
Sat May  7 16:12:07 2022  GCD is N, no factor found
Sat May  7 16:12:07 2022  reading relations for dependency 4
Sat May  7 16:12:07 2022  read 279976 cycles
Sat May  7 16:12:07 2022  cycles contain 905082 unique relations
Sat May  7 16:12:15 2022  read 905082 relations
Sat May  7 16:12:17 2022  multiplying 905082 relations
Sat May  7 16:12:31 2022  multiply complete, coefficients have about 25.79 million bits
Sat May  7 16:12:31 2022  initial square root is modulo 25532081
Sat May  7 16:12:47 2022  GCD is 1, no factor found
Sat May  7 16:12:47 2022  reading relations for dependency 5
Sat May  7 16:12:47 2022  read 280549 cycles
Sat May  7 16:12:47 2022  cycles contain 907294 unique relations
Sat May  7 16:12:55 2022  read 907294 relations
Sat May  7 16:12:57 2022  multiplying 907294 relations
Sat May  7 16:13:12 2022  multiply complete, coefficients have about 25.85 million bits
Sat May  7 16:13:12 2022  initial square root is modulo 26619181
Sat May  7 16:13:28 2022  sqrtTime: 203
Sat May  7 16:13:28 2022  p55 factor: 9072004039373413361966494356381976368112463688303327979
Sat May  7 16:13:28 2022  p68 factor: 16374244332470870790133916865501562081402347287430327413620685555849
Sat May  7 16:13:28 2022  elapsed time 00:03:23
Sat May 07 16:13:28 2022 -> Computing time scale for this machine...
Sat May 07 16:13:28 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 2, 2022 04:34:33 UTC 2022 年 5 月 2 日 (月) 13 時 34 分 33 秒 (日本時間)

52×10168-259

c128

name 名前Taiyo Kodama
date 日付May 8, 2022 06:02:23 UTC 2022 年 5 月 8 日 (日) 15 時 2 分 23 秒 (日本時間)
composite number 合成数
35748435401619106075664339126076269168429396663537056119399923014207648660121705526876577141787375346997725148885460166115202527<128>
prime factors 素因数
12555563084195665109556852079103701679958420213011<50>
2847218811446019946180410069362829264988194050207689333009475324892483048941957<79>
factorization results 素因数分解の結果
Sun May  8 14:28:32 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 14:28:32 2022  random seeds: f2420e50 f1eba03a
Sun May  8 14:28:32 2022  factoring 35748435401619106075664339126076269168429396663537056119399923014207648660121705526876577141787375346997725148885460166115202527 (128 digits)
Sun May  8 14:28:32 2022  searching for 15-digit factors
Sun May  8 14:28:32 2022  commencing number field sieve (128-digit input)
Sun May  8 14:28:32 2022  R0: -2000000000000000000000000000000000
Sun May  8 14:28:32 2022  R1: 1
Sun May  8 14:28:32 2022  A0: -1
Sun May  8 14:28:32 2022  A1: 0
Sun May  8 14:28:32 2022  A2: 0
Sun May  8 14:28:32 2022  A3: 0
Sun May  8 14:28:32 2022  A4: 0
Sun May  8 14:28:32 2022  A5: 65
Sun May  8 14:28:32 2022  skew 0.43, size 1.617e-11, alpha -0.273, combined = 4.224e-10 rroots = 1
Sun May  8 14:28:32 2022  
Sun May  8 14:28:32 2022  commencing square root phase
Sun May  8 14:28:32 2022  reading relations for dependency 1
Sun May  8 14:28:32 2022  read 330734 cycles
Sun May  8 14:28:33 2022  cycles contain 1103002 unique relations
Sun May  8 14:28:42 2022  read 1103002 relations
Sun May  8 14:28:44 2022  multiplying 1103002 relations
Sun May  8 14:29:00 2022  multiply complete, coefficients have about 29.82 million bits
Sun May  8 14:29:00 2022  initial square root is modulo 366077671
Sun May  8 14:29:19 2022  Newton iteration failed to converge
Sun May  8 14:29:19 2022  algebraic square root failed
Sun May  8 14:29:19 2022  reading relations for dependency 2
Sun May  8 14:29:19 2022  read 331096 cycles
Sun May  8 14:29:19 2022  cycles contain 1104312 unique relations
Sun May  8 14:29:28 2022  read 1104312 relations
Sun May  8 14:29:31 2022  multiplying 1104312 relations
Sun May  8 14:29:47 2022  multiply complete, coefficients have about 29.86 million bits
Sun May  8 14:29:47 2022  initial square root is modulo 375141061
Sun May  8 14:30:05 2022  GCD is 1, no factor found
Sun May  8 14:30:05 2022  reading relations for dependency 3
Sun May  8 14:30:05 2022  read 331005 cycles
Sun May  8 14:30:06 2022  cycles contain 1103506 unique relations
Sun May  8 14:30:15 2022  read 1103506 relations
Sun May  8 14:30:18 2022  multiplying 1103506 relations
Sun May  8 14:30:33 2022  multiply complete, coefficients have about 29.84 million bits
Sun May  8 14:30:33 2022  initial square root is modulo 370034081
Sun May  8 14:30:52 2022  GCD is 1, no factor found
Sun May  8 14:30:52 2022  reading relations for dependency 4
Sun May  8 14:30:52 2022  read 331194 cycles
Sun May  8 14:30:52 2022  cycles contain 1104622 unique relations
Sun May  8 14:31:01 2022  read 1104622 relations
Sun May  8 14:31:04 2022  multiplying 1104622 relations
Sun May  8 14:31:19 2022  multiply complete, coefficients have about 29.86 million bits
Sun May  8 14:31:20 2022  initial square root is modulo 376514641
Sun May  8 14:31:38 2022  GCD is 1, no factor found
Sun May  8 14:31:38 2022  reading relations for dependency 5
Sun May  8 14:31:38 2022  read 330865 cycles
Sun May  8 14:31:38 2022  cycles contain 1103252 unique relations
Sun May  8 14:31:47 2022  read 1103252 relations
Sun May  8 14:31:50 2022  multiplying 1103252 relations
Sun May  8 14:32:06 2022  multiply complete, coefficients have about 29.83 million bits
Sun May  8 14:32:06 2022  initial square root is modulo 367932001
Sun May  8 14:32:27 2022  sqrtTime: 235
Sun May  8 14:32:27 2022  p50 factor: 12555563084195665109556852079103701679958420213011
Sun May  8 14:32:27 2022  p79 factor: 2847218811446019946180410069362829264988194050207689333009475324892483048941957
Sun May  8 14:32:27 2022  elapsed time 00:03:55
Sun May 08 14:32:27 2022 -> Computing time scale for this machine...
Sun May 08 14:32:27 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 17:43:19 UTC 2022 年 4 月 29 日 (金) 2 時 43 分 19 秒 (日本時間)

52×10174-259

c144

name 名前Bob Backstrom
date 日付May 11, 2022 15:40:38 UTC 2022 年 5 月 12 日 (木) 0 時 40 分 38 秒 (日本時間)
composite number 合成数
309733852856161868886271556257033459680184239216420055363655731935330314594550756235295932600368449084920181835974043599995858505864116953618383<144>
prime factors 素因数
25723149346920322062265618741958091209117334613753178459<56>
12041054875469377155923701256699438783254863339256592735569789242617536294524221844660637<89>
factorization results 素因数分解の結果
Number: n
N=309733852856161868886271556257033459680184239216420055363655731935330314594550756235295932600368449084920181835974043599995858505864116953618383  ( 144 digits)
SNFS difficulty: 174 digits.
Divisors found:

Thu May 12 01:36:53 2022  p56 factor: 25723149346920322062265618741958091209117334613753178459
Thu May 12 01:36:53 2022  p89 factor: 12041054875469377155923701256699438783254863339256592735569789242617536294524221844660637
Thu May 12 01:36:53 2022  elapsed time 00:10:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 52x10^174-25 = 57(173)5
#
n: 309733852856161868886271556257033459680184239216420055363655731935330314594550756235295932600368449084920181835974043599995858505864116953618383
m: 20000000000000000000000000000000000
deg: 5
c5: 650
c0: -1
skew: 0.27
# Murphy_E = 2.328e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1456195 hash collisions in 15053674 relations (14228796 unique)
Msieve: matrix is 634956 x 635181 (220.2 MB)

Sieving start time : 2022/05/12 00:33:45
Sieving end time  : 2022/05/12 01:25:50

Total sieving time: 0hrs 52min 5secs.

Total relation processing time: 0hrs 6min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 18:24:01 UTC 2022 年 4 月 29 日 (金) 3 時 24 分 1 秒 (日本時間)

52×10175-259

c140

name 名前Bob Backstrom
date 日付June 17, 2022 18:48:47 UTC 2022 年 6 月 18 日 (土) 3 時 48 分 47 秒 (日本時間)
composite number 合成数
11739814189068417038238355841250080427451661060629778258339697286998273959459557608506375325869343926478725998956367192898612542084973111039<140>
prime factors 素因数
635434087012708286737376862444564447795729286930291<51>
18475266638998590663016271033656439201600046009798994663054565422481124894678950491938629<89>
factorization results 素因数分解の結果
Number: n
N=11739814189068417038238355841250080427451661060629778258339697286998273959459557608506375325869343926478725998956367192898612542084973111039  ( 140 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Jun 18 04:42:40 2022  p51 factor: 635434087012708286737376862444564447795729286930291
Sat Jun 18 04:42:40 2022  p89 factor: 18475266638998590663016271033656439201600046009798994663054565422481124894678950491938629
Sat Jun 18 04:42:40 2022  elapsed time 00:16:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 52x10^175-25 = 57(174)5
#
n: 11739814189068417038238355841250080427451661060629778258339697286998273959459557608506375325869343926478725998956367192898612542084973111039
m: 100000000000000000000000000000000000
deg: 5
c5: 52
c0: -25
skew: 0.86
# Murphy_E = 1.689e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3028980 hash collisions in 28828003 relations (27558295 unique)
Msieve: matrix is 804593 x 804820 (274.0 MB)

Sieving start time : 2022/06/18 00:46:40
Sieving end time  : 2022/06/18 04:24:50

Total sieving time: 3hrs 38min 10secs.

Total relation processing time: 0hrs 9min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 27, 2022 22:15:49 UTC 2022 年 4 月 28 日 (木) 7 時 15 分 49 秒 (日本時間)

52×10176-259

c170

name 名前Bob Backstrom
date 日付April 27, 2022 04:18:01 UTC 2022 年 4 月 27 日 (水) 13 時 18 分 1 秒 (日本時間)
composite number 合成数
14468308110133596044420210028359970671070040592646941493570402126451760817442714020882637745075227898459466026221443437714524838850523526686272615339369817537244937813751<170>
prime factors 素因数
1412690818336863928653585188144682087154432168231957506131256640836692711<73>
10241666415845245523227501935930224531349812214390566442249635590156349106671218194753456454326641<98>
factorization results 素因数分解の結果
Number: n
N=14468308110133596044420210028359970671070040592646941493570402126451760817442714020882637745075227898459466026221443437714524838850523526686272615339369817537244937813751  ( 170 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Apr 27 14:14:01 2022  p73 factor: 1412690818336863928653585188144682087154432168231957506131256640836692711
Wed Apr 27 14:14:01 2022  p98 factor: 10241666415845245523227501935930224531349812214390566442249635590156349106671218194753456454326641
Wed Apr 27 14:14:01 2022  elapsed time 00:20:10 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 52x10^176-25 = 57(175)5
#
n: 14468308110133596044420210028359970671070040592646941493570402126451760817442714020882637745075227898459466026221443437714524838850523526686272615339369817537244937813751
m: 100000000000000000000000000000000000
deg: 5
c5: 104
c0: -5
skew: 0.54
# Murphy_E = 1.734e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4366718 hash collisions in 32942887 relations (30417588 unique)
Msieve: matrix is 730626 x 730851 (246.8 MB)

Sieving start time : 2022/04/27 12:34:48
Sieving end time  : 2022/04/27 13:53:18

Total sieving time: 1hrs 18min 30secs.

Total relation processing time: 0hrs 7min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 32sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10180-259

c178

name 名前Bob Backstrom
date 日付April 28, 2022 04:30:07 UTC 2022 年 4 月 28 日 (木) 13 時 30 分 7 秒 (日本時間)
composite number 合成数
2656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553<178>
prime factors 素因数
6404464236906937492039085585383865792742798160815429907<55>
91526894531091565452905492847574456280304712797624033257323<59>
4531792755971740319318721986250155069247031035370107833339901473<64>
factorization results 素因数分解の結果
Number: n
N=2656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Apr 28 14:24:00 2022  found factor: 6404464236906937492039085585383865792742798160815429907
Thu Apr 28 14:25:27 2022  found factor: 6404464236906937492039085585383865792742798160815429907
Thu Apr 28 14:26:10 2022  p55 factor: 6404464236906937492039085585383865792742798160815429907
Thu Apr 28 14:26:10 2022  p59 factor: 91526894531091565452905492847574456280304712797624033257323
Thu Apr 28 14:26:10 2022  p64 factor: 4531792755971740319318721986250155069247031035370107833339901473
Thu Apr 28 14:26:10 2022  elapsed time 00:19:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 52x10^180-25 = 57(179)5
#
n: 2656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553
m: 1000000000000000000000000000000000000
deg: 5
c5: 52
c0: -25
skew: 0.86
# Murphy_E = 1.062e-10
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3250950 hash collisions in 31575044 relations (30343589 unique)
Msieve: matrix is 758907 x 759139 (258.4 MB)

Sieving start time : 2022/04/28 11:44:33
Sieving end time  : 2022/04/28 14:04:38

Total sieving time: 2hrs 20min 5secs.

Total relation processing time: 0hrs 8min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10185-259

c178

name 名前Bob Backstrom
date 日付May 1, 2022 13:31:15 UTC 2022 年 5 月 1 日 (日) 22 時 31 分 15 秒 (日本時間)
composite number 合成数
2788767600291088344309614234738640253497902263536741617611507163036730335169508870003837371033073617283773339856368010706507858686763705857579757043907416294369543911941337951747<178>
prime factors 素因数
39752396476838160973534371960816661034515018442519856998005685958827922450235537037<83>
70153446017172101010594435019664048277739580608326909756395864099520244710409085824337619802831<95>
factorization results 素因数分解の結果
Number: n
N=2788767600291088344309614234738640253497902263536741617611507163036730335169508870003837371033073617283773339856368010706507858686763705857579757043907416294369543911941337951747  ( 178 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun May  1 23:26:34 2022  p83 factor: 39752396476838160973534371960816661034515018442519856998005685958827922450235537037
Sun May  1 23:26:34 2022  p95 factor: 70153446017172101010594435019664048277739580608326909756395864099520244710409085824337619802831
Sun May  1 23:26:34 2022  elapsed time 00:23:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 52x10^185-25 = 57(184)5
#
n: 2788767600291088344309614234738640253497902263536741617611507163036730335169508870003837371033073617283773339856368010706507858686763705857579757043907416294369543911941337951747
m: 10000000000000000000000000000000000000
deg: 5
c5: 52
c0: -25
skew: 0.86
# Murphy_E = 6.644e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3050979 hash collisions in 30064435 relations (28912348 unique)
Msieve: matrix is 975254 x 975480 (335.3 MB)

Sieving start time : 2022/05/01 20:22:54
Sieving end time  : 2022/05/01 23:02:37

Total sieving time: 2hrs 39min 43secs.

Total relation processing time: 0hrs 14min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 30, 2022 15:32:55 UTC 2022 年 5 月 1 日 (日) 0 時 32 分 55 秒 (日本時間)

52×10186-259

c132

name 名前Eric Jeancolas
date 日付May 18, 2022 03:45:03 UTC 2022 年 5 月 18 日 (水) 12 時 45 分 3 秒 (日本時間)
composite number 合成数
125153495099425643929328184223334148888825458140126093832408809038013428008588100104174410835729981413253057564614969797285070533619<132>
prime factors 素因数
361204639798044468893444940071987715550476104371086107<54>
346489167939263038988564490935439476623868510301610588524329412249183049361417<78>
factorization results 素因数分解の結果
125153495099425643929328184223334148888825458140126093832408809038013428008588100104174410835729981413253057564614969797285070533619=361204639798044468893444940071987715550476104371086107*346489167939263038988564490935439476623868510301610588524329412249183049361417

cado polynomial
n: 125153495099425643929328184223334148888825458140126093832408809038013428008588100104174410835729981413253057564614969797285070533619
skew: 89396.766
c0: -290953823206431026282106235770
c1: 42968224201450073590641555
c2: 452244814112917006706
c3: 1244361950266451
c4: -43786777317
c5: 214020
Y0: -14242281211551607330450513
Y1: 145619400490370011
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.015e-07
# f(x) = 214020*x^5-43786777317*x^4+1244361950266451*x^3+452244814112917006706*x^2+42968224201450073590641555*x-290953823206431026282106235770
# g(x) = 145619400490370011*x-14242281211551607330450513

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: 346489167939263038988564490935439476623868510301610588524329412249183049361417 361204639798044468893444940071987715550476104371086107
Info:Square Root: Total cpu/real time for sqrt: 792.8/239.355
Info:Filtering - Singleton removal: Total cpu/real time for purge: 257.72/288.869
Info:Linear Algebra: Total cpu/real time for bwc: 56068.4/14394.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35900.1, WCT time 9172.14, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58112 iterations)
Info:Linear Algebra: Lingen CPU time 373.37, WCT time 95.19
Info:Linear Algebra: Mksol: CPU time 19451.78,  WCT time 4992.83, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24423069
Info:Lattice Sieving: Average J: 7716.11 for 75631 special-q, max bucket fill -bkmult 1.0,1s:1.069730
Info:Lattice Sieving: Total time: 103983s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.12/10.3878
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5683.24
Info:Polynomial Selection (root optimized): Rootsieve time: 5680.7
Info:Generate Free Relations: Total cpu/real time for freerel: 254.29/64.9936
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.93/123.899
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.60000000000001s
Info:Filtering - Merging: Merged matrix has 1853171 rows and total weight 315698682 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 474.96/133.999
Info:Filtering - Merging: Total cpu/real time for replay: 74.14/63.5757
Info:Quadratic Characters: Total cpu/real time for characters: 72.6/31.0795
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38761/38.740/46.835/50.370/0.837
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30703/38.380/42.109/47.660/1.045
Info:Polynomial Selection (size optimized): Total time: 4899.22
Info:Square Root: Total cpu/real time for sqrt: 792.8/239.355
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 385.38/355.383
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 304.59999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 264682/70924.3
Info:root: Cleaning up computation data in /tmp/cado.ma7377ot
346489167939263038988564490935439476623868510301610588524329412249183049361417 361204639798044468893444940071987715550476104371086107
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 30, 2022 15:41:42 UTC 2022 年 5 月 1 日 (日) 0 時 41 分 42 秒 (日本時間)

52×10188-259

c170

name 名前Bob Backstrom
date 日付May 2, 2022 12:55:06 UTC 2022 年 5 月 2 日 (月) 21 時 55 分 6 秒 (日本時間)
composite number 合成数
61221427077342144554453558722457696312315327490014882639511938619538283314206196956862998421790987721582150374493671761923291246394226823059901631660110189496491427678937<170>
prime factors 素因数
1647570852416671312593951395809702523697501619<46>
37158600486007640122899257898152044302993271659421358194245833316424575821092433450440949181886915034991355146827759788224323<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 61221427077342144554453558722457696312315327490014882639511938619538283314206196956862998421790987721582150374493671761923291246394226823059901631660110189496491427678937 (170 digits)
Using B1=20740000, B2=70272954580, polynomial Dickson(12), sigma=1:2625198196
Step 1 took 38360ms
Step 2 took 12611ms
********** Factor found in step 2: 1647570852416671312593951395809702523697501619
Found prime factor of 46 digits: 1647570852416671312593951395809702523697501619
Prime cofactor 37158600486007640122899257898152044302993271659421358194245833316424575821092433450440949181886915034991355146827759788224323 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 1, 2022 15:53:15 UTC 2022 年 5 月 2 日 (月) 0 時 53 分 15 秒 (日本時間)

52×10190-259

c151

name 名前Bob Backstrom
date 日付May 5, 2022 06:17:00 UTC 2022 年 5 月 5 日 (木) 15 時 17 分 0 秒 (日本時間)
composite number 合成数
3982750492201014657017511970973657818656005374237415483463519309799181910106464480540763005150285413622264182968192439837443816435854282006166083097243<151>
prime factors 素因数
66449234291939642507875911847063914761271924427<47>
59936740199339305403203894467069794873674821357323964552910944561213987992551599216545393828704741796209<104>
factorization results 素因数分解の結果
Number: n
N=3982750492201014657017511970973657818656005374237415483463519309799181910106464480540763005150285413622264182968192439837443816435854282006166083097243  ( 151 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu May  5 16:12:47 2022  p47 factor: 66449234291939642507875911847063914761271924427
Thu May  5 16:12:47 2022  p104 factor: 59936740199339305403203894467069794873674821357323964552910944561213987992551599216545393828704741796209
Thu May  5 16:12:47 2022  elapsed time 00:29:54 (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 = 52x10^190-25 = 57(189)5
#
n: 3982750492201014657017511970973657818656005374237415483463519309799181910106464480540763005150285413622264182968192439837443816435854282006166083097243
m: 100000000000000000000000000000000000000
deg: 5
c5: 52
c0: -25
skew: 0.86
# Murphy_E = 4.141e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3307624 hash collisions in 29938855 relations (28440057 unique)
Msieve: matrix is 1123679 x 1123907 (389.9 MB)

Sieving start time : 2022/05/05 12:17:28
Sieving end time  : 2022/05/05 15:42:22

Total sieving time: 3hrs 24min 54secs.

Total relation processing time: 0hrs 21min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 15:26:50 UTC 2022 年 5 月 3 日 (火) 0 時 26 分 50 秒 (日本時間)

52×10191-259

c178

name 名前Bob Backstrom
date 日付May 3, 2022 21:34:59 UTC 2022 年 5 月 4 日 (水) 6 時 34 分 59 秒 (日本時間)
composite number 合成数
1508181397671166474048363014492083918015538676223889383925010685825922692361482897620019400623861058829472855018742159726805193148227596053505315574578302999934342784910985983977<178>
prime factors 素因数
79792524741880541926214116428168928602116747509<47>
18901286837958272276248110095990125765823457963670812209970019189465775936419443578915652116201653449242934187443450982334470374053<131>
factorization results 素因数分解の結果
Number: n
N=1508181397671166474048363014492083918015538676223889383925010685825922692361482897620019400623861058829472855018742159726805193148227596053505315574578302999934342784910985983977  ( 178 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed May  4 07:15:58 2022  p47 factor: 79792524741880541926214116428168928602116747509
Wed May  4 07:15:58 2022  p131 factor: 18901286837958272276248110095990125765823457963670812209970019189465775936419443578915652116201653449242934187443450982334470374053
Wed May  4 07:15:58 2022  elapsed time 00:40:01 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 52x10^191-25 = 57(190)5
#
n: 1508181397671166474048363014492083918015538676223889383925010685825922692361482897620019400623861058829472855018742159726805193148227596053505315574578302999934342784910985983977
m: 100000000000000000000000000000000000000
deg: 5
c5: 104
c0: -5
skew: 0.54
# Murphy_E = 4.246e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3091276 hash collisions in 29797907 relations (28561455 unique)
Msieve: matrix is 1171886 x 1172112 (405.4 MB)

Sieving start time : 2022/05/04 02:47:24
Sieving end time  : 2022/05/04 06:35:27

Total sieving time: 3hrs 48min 3secs.

Total relation processing time: 0hrs 22min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 45sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 15:31:13 UTC 2022 年 5 月 3 日 (火) 0 時 31 分 13 秒 (日本時間)

52×10192-259

c173

name 名前Bob Backstrom
date 日付May 4, 2022 07:34:56 UTC 2022 年 5 月 4 日 (水) 16 時 34 分 56 秒 (日本時間)
composite number 合成数
30431740120025829817184808728901029435192529751118961607598374374284684037108231448646638451814581965685179256280988150125878872085935587683159123195106266062078739129344909<173>
prime factors 素因数
656719308233885165386517712627148431659819<42>
4878727318464633505703564549796224677243285924528017053<55>
9498181321951133711713481655037825296406798408086938244241244081383302845587<76>
factorization results 素因数分解の結果
Number: n
N=30431740120025829817184808728901029435192529751118961607598374374284684037108231448646638451814581965685179256280988150125878872085935587683159123195106266062078739129344909  ( 173 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed May  4 17:20:56 2022  found factor: 9498181321951133711713481655037825296406798408086938244241244081383302845587
Wed May  4 17:22:24 2022  found factor: 9498181321951133711713481655037825296406798408086938244241244081383302845587
Wed May  4 17:29:42 2022  found factor: 9498181321951133711713481655037825296406798408086938244241244081383302845587
Wed May  4 17:31:10 2022  p42 factor: 656719308233885165386517712627148431659819
Wed May  4 17:31:10 2022  p55 factor: 4878727318464633505703564549796224677243285924528017053
Wed May  4 17:31:10 2022  p76 factor: 9498181321951133711713481655037825296406798408086938244241244081383302845587
Wed May  4 17:31:10 2022  elapsed time 00:43:16 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 52x10^192-25 = 57(191)5
#
n: 30431740120025829817184808728901029435192529751118961607598374374284684037108231448646638451814581965685179256280988150125878872085935587683159123195106266062078739129344909
m: 100000000000000000000000000000000000000
deg: 5
c5: 208
c0: -1
skew: 0.34
# Murphy_E = 4.556e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3063639 hash collisions in 29594946 relations (28371066 unique)
Msieve: matrix is 1185663 x 1185889 (413.2 MB)

Sieving start time : 2022/05/04 13:31:31
Sieving end time  : 2022/05/04 16:47:25

Total sieving time: 3hrs 15min 54secs.

Total relation processing time: 0hrs 23min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 42sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 15:48:45 UTC 2022 年 5 月 3 日 (火) 0 時 48 分 45 秒 (日本時間)

52×10193-259

c157

name 名前Bob Backstrom
date 日付May 4, 2022 17:20:31 UTC 2022 年 5 月 5 日 (木) 2 時 20 分 31 秒 (日本時間)
composite number 合成数
2347852571069926067533523985769815481192746885034851009131267489387421221035761060694527197422201903237849728515401143748386549614536173912514709480538526583<157>
prime factors 素因数
1048228037383460974376563955088762791372614185288801184466601892925484787<73>
2239829967657160352884056227005303450621241634247592131095562617077933092730764710509<85>
factorization results 素因数分解の結果
Number: n
N=2347852571069926067533523985769815481192746885034851009131267489387421221035761060694527197422201903237849728515401143748386549614536173912514709480538526583  ( 157 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu May  5 03:15:29 2022  p73 factor: 1048228037383460974376563955088762791372614185288801184466601892925484787
Thu May  5 03:15:29 2022  p85 factor: 2239829967657160352884056227005303450621241634247592131095562617077933092730764710509
Thu May  5 03:15:29 2022  elapsed time 00:38:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 52x10^193-25 = 57(192)5
#
n: 2347852571069926067533523985769815481192746885034851009131267489387421221035761060694527197422201903237849728515401143748386549614536173912514709480538526583
m: 200000000000000000000000000000000000000
deg: 5
c5: 65
c0: -1
skew: 0.43
# Murphy_E = 4.109e-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 3134251 hash collisions in 29906048 relations (28627861 unique)
Msieve: matrix is 1240454 x 1240681 (429.3 MB)

Sieving start time : 2022/05/04 22:39:17
Sieving end time  : 2022/05/05 02:36:23

Total sieving time: 3hrs 57min 6secs.

Total relation processing time: 0hrs 27min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 16:03:16 UTC 2022 年 5 月 3 日 (火) 1 時 3 分 16 秒 (日本時間)

52×10194-259

c177

name 名前Ignacio Santos
date 日付May 2, 2022 16:47:49 UTC 2022 年 5 月 3 日 (火) 1 時 47 分 49 秒 (日本時間)
composite number 合成数
202509246220912013813510054115982128762403727593525407073315088271754674256218908893187933363384612909097829954809583563015636281853197868530295129838764971468442696150624197861<177>
prime factors 素因数
4031835903578656904155625271991854659<37>
50227551682141834990699816534514014931180901041415631911344956552873468524131370628491547431246513133586126143490296077024974468040900772279<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3882735794
Step 1 took 8375ms
Step 2 took 4140ms
********** Factor found in step 2: 4031835903578656904155625271991854659
Found prime factor of 37 digits: 4031835903578656904155625271991854659
Prime cofactor 50227551682141834990699816534514014931180901041415631911344956552873468524131370628491547431246513133586126143490296077024974468040900772279 has 140 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10195-259

c89

name 名前Ignacio Santos
date 日付April 24, 2022 15:37:00 UTC 2022 年 4 月 25 日 (月) 0 時 37 分 0 秒 (日本時間)
composite number 合成数
27283816046694416621717515393122610894978212641873133845111017152043584302366213225796517<89>
prime factors 素因数
2171476285925747972206688190173186890397243<43>
12564639192024483642100732660003261359571132319<47>
factorization results 素因数分解の結果
prp43 = 2171476285925747972206688190173186890397243
prp47 = 12564639192024483642100732660003261359571132319
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10196-259

c173

name 名前Bob Backstrom
date 日付May 5, 2022 18:54:00 UTC 2022 年 5 月 6 日 (金) 3 時 54 分 0 秒 (日本時間)
composite number 合成数
47909807228786417272193098861012847819980024320929063545256627126616711316922799867376234028192078583044058377912381592078284725278383334852211448585466430023967296693164623<173>
prime factors 素因数
9630558877332118358983863811096210071962501993851322561<55>
4974769152967217263271405520689565654704159940394150631643106700020046554186715970122325710485862514286611152275574543<118>
factorization results 素因数分解の結果
Number: n
N=47909807228786417272193098861012847819980024320929063545256627126616711316922799867376234028192078583044058377912381592078284725278383334852211448585466430023967296693164623  ( 173 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri May  6 04:42:09 2022  p55 factor: 9630558877332118358983863811096210071962501993851322561
Fri May  6 04:42:09 2022  p118 factor: 4974769152967217263271405520689565654704159940394150631643106700020046554186715970122325710485862514286611152275574543
Fri May  6 04:42:09 2022  elapsed time 00:54:15 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 52x10^196-25 = 57(195)5
#
n: 47909807228786417272193098861012847819980024320929063545256627126616711316922799867376234028192078583044058377912381592078284725278383334852211448585466430023967296693164623
m: 1000000000000000000000000000000000000000
deg: 5
c5: 104
c0: -5
skew: 0.54
# Murphy_E = 2.634e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3425096 hash collisions in 29898033 relations (28240290 unique)
Msieve: matrix is 1469842 x 1470068 (510.2 MB)

Sieving start time : 2022/05/05 21:45:20
Sieving end time  : 2022/05/06 03:46:55

Total sieving time: 6hrs 1min 35secs.

Total relation processing time: 0hrs 40min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 37sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 4, 2022 19:35:18 UTC 2022 年 5 月 5 日 (木) 4 時 35 分 18 秒 (日本時間)

52×10199-259

c78

name 名前Ignacio Santos
date 日付April 24, 2022 15:30:48 UTC 2022 年 4 月 25 日 (月) 0 時 30 分 48 秒 (日本時間)
composite number 合成数
221942901050757244312721563300543439647276187065235844490880838876894325978549<78>
prime factors 素因数
6837620744114226461786587795970941421<37>
32459083262522867717391978742205224110569<41>
factorization results 素因数分解の結果
prp41 = 32459083262522867717391978742205224110569
prp37 = 6837620744114226461786587795970941421
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10203-259

c175

name 名前Bob Backstrom
date 日付July 31, 2023 10:07:55 UTC 2023 年 7 月 31 日 (月) 19 時 7 分 55 秒 (日本時間)
composite number 合成数
2442637781317223529512572644090894258264684246498911195307274896221138374905218758031361275104207583030961273701551243039496188199109651367520580337239381150320498846356320797<175>
prime factors 素因数
1184823659967364596151264628566282036319364123235228464014903<61>
2061604493435339419818981717485062446729882043433411939348553753973008990543314739883777216399934698709596875341899<115>
factorization results 素因数分解の結果
Number: n
N=2442637781317223529512572644090894258264684246498911195307274896221138374905218758031361275104207583030961273701551243039496188199109651367520580337239381150320498846356320797  ( 175 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Jul 31 20:03:30 2023  prp61 factor: 1184823659967364596151264628566282036319364123235228464014903
Mon Jul 31 20:03:30 2023  prp115 factor: 2061604493435339419818981717485062446729882043433411939348553753973008990543314739883777216399934698709596875341899
Mon Jul 31 20:03:30 2023  elapsed time 01:53:42 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 52x10^203-25 = 57(202)5
#
n: 2442637781317223529512572644090894258264684246498911195307274896221138374905218758031361275104207583030961273701551243039496188199109651367520580337239381150320498846356320797
m: 20000000000000000000000000000000000000000
deg: 5
c5: 65
c0: -1
skew: 0.43
# Murphy_E = 1.57e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2942916 hash collisions in 18335828 relations (16286951 unique)
Msieve: matrix is 1886977 x 1887202 (531.2 MB)

Sieving start time: 2023/07/31 07:40:30
Sieving end time  : 2023/07/31 18:09:24

Total sieving time: 10hrs 28min 54secs.

Total relation processing time: 1hrs 46min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:17:52 UTC 2022 年 6 月 20 日 (月) 16 時 17 分 52 秒 (日本時間)
2350Ignacio SantosJuly 12, 2023 06:39:37 UTC 2023 年 7 月 12 日 (水) 15 時 39 分 37 秒 (日本時間)

52×10204-259

c108

name 名前Eric Jeancolas
date 日付April 25, 2022 18:00:31 UTC 2022 年 4 月 26 日 (火) 3 時 0 分 31 秒 (日本時間)
composite number 合成数
341828844828139841016692747230487173914375606820393846172952172617312007655190063140374533809788124115217981<108>
prime factors 素因数
793609864517174918107375758948429460659521826631021<51>
430726557357128400043233307426721823794227267750644191761<57>
factorization results 素因数分解の結果
341828844828139841016692747230487173914375606820393846172952172617312007655190063140374533809788124115217981=793609864517174918107375758948429460659521826631021*430726557357128400043233307426721823794227267750644191761

cado polynomial
n: 341828844828139841016692747230487173914375606820393846172952172617312007655190063140374533809788124115217981
skew: 32414.381
c0: 132522085007582699117032500
c1: -11927526572629330213015
c2: -636257546080602294
c3: 1210136898688
c4: 34404792
c5: 5040
Y0: -726370192584759631553
Y1: 655133545378573
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.864e-06
# f(x) = 5040*x^5+34404792*x^4+1210136898688*x^3-636257546080602294*x^2-11927526572629330213015*x+132522085007582699117032500
# g(x) = 655133545378573*x-726370192584759631553

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: 430726557357128400043233307426721823794227267750644191761 793609864517174918107375758948429460659521826631021
Info:Square Root: Total cpu/real time for sqrt: 76.5/23.1063
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.33/61.9939
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4946571
Info:Lattice Sieving: Average J: 1900.55 for 66248 special-q, max bucket fill -bkmult 1.0,1s:1.283250
Info:Lattice Sieving: Total time: 6634.41s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/0.609742
Info:Linear Algebra: Total cpu/real time for bwc: 924.79/241.23
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 553.59, WCT time 143.27, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.28, WCT time 11.01
Info:Linear Algebra: Mksol: CPU time 306.57,  WCT time 78.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.93/16.6427
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.45/21.1137
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 240.82
Info:Polynomial Selection (root optimized): Rootsieve time: 239.83
Info:Filtering - Merging: Merged matrix has 275580 rows and total weight 42806768 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.75/12.4883
Info:Filtering - Merging: Total cpu/real time for replay: 9.05/7.32263
Info:Quadratic Characters: Total cpu/real time for characters: 10.34/3.99893
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): 11423/31.370/38.089/43.350/1.027
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8785/30.100/33.757/38.580/0.833
Info:Polynomial Selection (size optimized): Total time: 737.16
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 75.6/82.8661
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 59.2s
Info:Square Root: Total cpu/real time for sqrt: 76.5/23.1063
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14208/4013.42
Info:root: Cleaning up computation data in /tmp/cado.jopqajx2
430726557357128400043233307426721823794227267750644191761 793609864517174918107375758948429460659521826631021
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 16:11:14 UTC 2022 年 4 月 26 日 (火) 1 時 11 分 14 秒 (日本時間)

52×10206-259

c197

name 名前Bob Backstrom
date 日付May 20, 2024 15:57:17 UTC 2024 年 5 月 21 日 (火) 0 時 57 分 17 秒 (日本時間)
composite number 合成数
31715912564115141033616293297192843593249672449605424245418221797924914175303474216366895706224599506136185941067225584849246112171301639963768955230331835751093994545434230359047546632958738626539<197>
prime factors 素因数
523734093844828441606007314382302497301874126140202290625846883009958870533660090648278276047<93>
60557280759178356376242611648626495464418686365679245497261579535312810161698394958167872816119901702437<104>
factorization results 素因数分解の結果
Number: n
N=31715912564115141033616293297192843593249672449605424245418221797924914175303474216366895706224599506136185941067225584849246112171301639963768955230331835751093994545434230359047546632958738626539  ( 197 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon May 20 20:39:50 2024  prp93 factor: 523734093844828441606007314382302497301874126140202290625846883009958870533660090648278276047
Mon May 20 20:39:50 2024  prp104 factor: 60557280759178356376242611648626495464418686365679245497261579535312810161698394958167872816119901702437
Mon May 20 20:39:50 2024  elapsed time 02:09:26 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.938).
Factorization parameters were as follows:
#
# N = 52x10^206-25 = 57(205)5
#
n: 31715912564115141033616293297192843593249672449605424245418221797924914175303474216366895706224599506136185941067225584849246112171301639963768955230331835751093994545434230359047546632958738626539
m: 100000000000000000000000000000000000000000
deg: 5
c5: 104
c0: -5
skew: 0.54
# Murphy_E = 1.001e-11
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4169628 hash collisions in 21901950 relations (18085878 unique)
Msieve: matrix is 2027085 x 2027310 (567.6 MB)

Sieving start time: 2024/05/20 05:27:43
Sieving end time  : 2024/05/20 18:29:51

Total sieving time: 13hrs 2min 8secs.

Total relation processing time: 2hrs 0min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,27,27,56,56,2.6,2.6,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:01 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 1 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 15:58:05 UTC 2023 年 10 月 5 日 (木) 0 時 58 分 5 秒 (日本時間)

52×10207-259

c183

name 名前Bob Backstrom
date 日付June 22, 2024 03:08:30 UTC 2024 年 6 月 22 日 (土) 12 時 8 分 30 秒 (日本時間)
composite number 合成数
263085545338304569535395153397567544183506135111840258711310905382277837346858469641855222942152331805199884129092966959298502746220411489673572211617249134962862356960325189846957897<183>
prime factors 素因数
2252377927696899629199454790818079241278381761297939<52>
6319593342388556053710032885704533631449245988606178898223739<61>
18482750104411282809384017307627075675091423031841167941294527256156457<71>
factorization results 素因数分解の結果
Number: n
N=263085545338304569535395153397567544183506135111840258711310905382277837346858469641855222942152331805199884129092966959298502746220411489673572211617249134962862356960325189846957897  ( 183 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Jun 22 08:23:14 2024  prp52 factor: 2252377927696899629199454790818079241278381761297939
Sat Jun 22 08:23:14 2024  prp61 factor: 6319593342388556053710032885704533631449245988606178898223739
Sat Jun 22 08:23:14 2024  prp71 factor: 18482750104411282809384017307627075675091423031841167941294527256156457
Sat Jun 22 08:23:14 2024  elapsed time 02:24:46 (Msieve 1.44 - dependency 6)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.952).
Factorization parameters were as follows:
#
# N = 52x10^207-25 = 57(206)5
#
n: 263085545338304569535395153397567544183506135111840258711310905382277837346858469641855222942152331805199884129092966959298502746220411489673572211617249134962862356960325189846957897
m: 100000000000000000000000000000000000000000
deg: 5
c5: 208
c0: -1
skew: 0.34
# Murphy_E = 1.073e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6221743 hash collisions in 24629293 relations (17858641 unique)
Msieve: matrix is 2031707 x 2031933 (570.3 MB)

Sieving start time: 2024/06/21 12:57:08
Sieving end time  : 2024/06/22 05:56:35

Total sieving time: 16hrs 59min 27secs.

Total relation processing time: 2hrs 3min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 25sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:09 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 9 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 16:07:47 UTC 2023 年 10 月 5 日 (木) 1 時 7 分 47 秒 (日本時間)

52×10208-259

c153

composite cofactor 合成数の残り
105498530076920618713881609184224239723251312143136085030527887348735909581823464883740497004762536995527028036539620368774360659569453891143207629535331<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:18 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 18 秒 (日本時間)
2350Ignacio SantosOctober 27, 2023 15:55:10 UTC 2023 年 10 月 28 日 (土) 0 時 55 分 10 秒 (日本時間)

52×10211-259

c200

composite cofactor 合成数の残り
11249578548011474695186161211706659808168088064153121867134155237526809196206248198584431611985520468006643677126390579614529998843854089463357993317800464762066647184703974972404348130418294190798367<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:26 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 26 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 06:22:32 UTC 2023 年 10 月 5 日 (木) 15 時 22 分 32 秒 (日本時間)

52×10214-259

c207

composite cofactor 合成数の残り
880828293661546894557273043685653216969140138384053586205585239045576808502466128658438798758557215112286339322923382717733872722090161499444167703439681069013870801206921091378439957386543492993201487735927<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 27, 2022 12:10:05 UTC 2022 年 9 月 27 日 (火) 21 時 10 分 5 秒 (日本時間)

52×10215-259

c205

composite cofactor 合成数の残り
1560599726938328918411749105822512326694226216047759851978050459043672464847892348641538756011359911800126640685579276847947862265013873037293175339093014751323822195708455177549977556336691105172728884721<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:17:31 UTC 2023 年 7 月 15 日 (土) 0 時 17 分 31 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 06:32:02 UTC 2023 年 10 月 5 日 (木) 15 時 32 分 2 秒 (日本時間)

52×10218-259

c199

composite cofactor 合成数の残り
9199678011352096547233807396560091051570245195212370806099736711216190381256081483974313455598298534685303059849545797952041782047214203800663594680236220423521041079981650254926696113758105779026987<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:35 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 35 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 06:40:05 UTC 2023 年 10 月 5 日 (木) 15 時 40 分 5 秒 (日本時間)

52×10220-259

c124

name 名前Eric Jeancolas
date 日付May 6, 2022 08:52:31 UTC 2022 年 5 月 6 日 (金) 17 時 52 分 31 秒 (日本時間)
composite number 合成数
5393244462498981901449774519492202459796178175321097164684959316199749332465331293759316628286898710766765083762529679640773<124>
prime factors 素因数
5411946487960102235705574712995978208830748131592175758073257<61>
996544307024704230837619759309034743660434262740118106747513789<63>
factorization results 素因数分解の結果
5393244462498981901449774519492202459796178175321097164684959316199749332465331293759316628286898710766765083762529679640773=5411946487960102235705574712995978208830748131592175758073257*996544307024704230837619759309034743660434262740118106747513789

cado polynomial
n: 5393244462498981901449774519492202459796178175321097164684959316199749332465331293759316628286898710766765083762529679640773
skew: 7142.852
c0: -102888369855979698360357512
c1: 7384085663853369105733
c2: 12001218502748937161
c3: -1362376586539688
c4: -125508578624
c5: -2797080
Y0: -543855106910425573567386
Y1: 642288522857420897
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.869e-07
# f(x) = -2797080*x^5-125508578624*x^4-1362376586539688*x^3+12001218502748937161*x^2+7384085663853369105733*x-102888369855979698360357512
# g(x) = 642288522857420897*x-543855106910425573567386

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

cado log (extracts)
Info:Square Root: Factors: 5411946487960102235705574712995978208830748131592175758073257 996544307024704230837619759309034743660434262740118106747513789
Info:Square Root: Total cpu/real time for sqrt: 296.03/88.7437
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.69/106.019
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.9s
Info:Square Root: Total cpu/real time for sqrt: 296.03/88.7437
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.77/62.6877
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630336
Info:Lattice Sieving: Average J: 3795.45 for 179448 special-q, max bucket fill -bkmult 1.0,1s:1.162530
Info:Lattice Sieving: Total time: 53502.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.30319
Info:Linear Algebra: Total cpu/real time for bwc: 8626.35/2220.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5424.89, WCT time 1389.78, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 131.7, WCT time 33.55
Info:Linear Algebra: Mksol: CPU time 2951.76,  WCT time 755.01, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.94/32.1921
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.86/53.4892
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2617.15
Info:Polynomial Selection (root optimized): Rootsieve time: 2614.85
Info:Filtering - Merging: Merged matrix has 756016 rows and total weight 129002222 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 150.24/43.6463
Info:Filtering - Merging: Total cpu/real time for replay: 28.01/23.2873
Info:Quadratic Characters: Total cpu/real time for characters: 28.24/11.1878
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): 20379/36.530/44.058/47.410/0.889
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16003/35.490/39.444/44.830/0.915
Info:Polynomial Selection (size optimized): Total time: 1965.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 113834/30967.9
Info:root: Cleaning up computation data in /tmp/cado.j05rv9a6
5411946487960102235705574712995978208830748131592175758073257 996544307024704230837619759309034743660434262740118106747513789
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 18:43:58 UTC 2022 年 4 月 25 日 (月) 3 時 43 分 58 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 11:30:35 UTC 2022 年 4 月 30 日 (土) 20 時 30 分 35 秒 (日本時間)

52×10221-259

c187

composite cofactor 合成数の残り
2946540726502478051553197207314104931202817757901516545387400614835548230890756643185968441154754571967446682856536780797585141660201949144243348993585800856404887574303512665722368456887<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:43 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 43 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 07:37:30 UTC 2023 年 10 月 5 日 (木) 16 時 37 分 30 秒 (日本時間)

52×10222-259

c178

name 名前Dmitry Domanov
date 日付June 21, 2022 09:37:25 UTC 2022 年 6 月 21 日 (火) 18 時 37 分 25 秒 (日本時間)
composite number 合成数
8606001232498947841708548257656518669944377707802877800388580921001428369930974744351404399258383425808838078582713162117377274354351973552579529923265743840805104816112305926937<178>
prime factors 素因数
48348818972232870101352036386462849563<38>
composite cofactor 合成数の残り
177998168630374324381937792682847254803852623832187471379214117930289008413629841455409016812356434958168203665179158925381785619705944865499<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3884871918
Step 1 took 9245ms
Step 2 took 4513ms
********** Factor found in step 2: 48348818972232870101352036386462849563
Found prime factor of 38 digits: 48348818972232870101352036386462849563
Composite cofactor 177998168630374324381937792682847254803852623832187471379214117930289008413629841455409016812356434958168203665179158925381785619705944865499 has 141 digits

c141

name 名前Ignacio Santos
date 日付June 25, 2022 13:54:25 UTC 2022 年 6 月 25 日 (土) 22 時 54 分 25 秒 (日本時間)
composite number 合成数
177998168630374324381937792682847254803852623832187471379214117930289008413629841455409016812356434958168203665179158925381785619705944865499<141>
prime factors 素因数
181309102187032203728238846362963329790309854380227<51>
981738735029185491658635411777647934903565024936365771595200959677906703917594828073827337<90>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3165949496
Step 1 took 84813ms
Step 2 took 18812ms
********** Factor found in step 2: 181309102187032203728238846362963329790309854380227
Found prime factor of 51 digits: 181309102187032203728238846362963329790309854380227
Prime cofactor 981738735029185491658635411777647934903565024936365771595200959677906703917594828073827337 has 90 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:51 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 51 秒 (日本時間)
2350Ignacio SantosJune 21, 2022 17:37:17 UTC 2022 年 6 月 22 日 (水) 2 時 37 分 17 秒 (日本時間)
4511e64480Ignacio SantosJune 21, 2022 21:27:10 UTC 2022 年 6 月 22 日 (水) 6 時 27 分 10 秒 (日本時間)

52×10223-259

c195

composite cofactor 合成数の残り
222583301009452434349359121495731096293867594673325349502103342199860403657620285460947298892899997316697188963750196916354699676701010553636677185221629622224736724814480844288640976320239839597<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:18:59 UTC 2022 年 6 月 20 日 (月) 16 時 18 分 59 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 08:02:23 UTC 2023 年 10 月 5 日 (木) 17 時 2 分 23 秒 (日本時間)

52×10225-259

c221

composite cofactor 合成数の残り
90952818225545498272771000043727316454589181861909134636407363680090952818225545498272771000043727316454589181861909134636407363680090952818225545498272771000043727316454589181861909134636407363680090952818225545498272771<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:17:46 UTC 2023 年 7 月 15 日 (土) 0 時 17 分 46 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 08:02:36 UTC 2023 年 10 月 5 日 (木) 17 時 2 分 36 秒 (日本時間)

52×10226-259

c192

composite cofactor 合成数の残り
215087966408562030255246458577158721861008418258590315264662123005853289916879571894333248660075844991008095655352051043156993259291011842765702352046304076318547076032196880772635373845418907<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:19:08 UTC 2022 年 6 月 20 日 (月) 16 時 19 分 8 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 08:12:51 UTC 2023 年 10 月 5 日 (木) 17 時 12 分 51 秒 (日本時間)

52×10227-259

c154

name 名前Ignacio Santos
date 日付March 12, 2024 15:46:40 UTC 2024 年 3 月 13 日 (水) 0 時 46 分 40 秒 (日本時間)
composite number 合成数
2329537771176023022231002963134006138055780504965942231911803567760706039454284805942663561392981560184571144871572412970139088141686500228964342100862157<154>
prime factors 素因数
403222169826936300410031769539081382956300414916303<51>
5777305777050564788314764244131406098323436325557549643204668721291524702962149269944158408188474470819<103>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3627978928
Step 1 took 82250ms
Step 2 took 28813ms
********** Factor found in step 2: 403222169826936300410031769539081382956300414916303
Found prime factor of 51 digits: 403222169826936300410031769539081382956300414916303
Prime cofactor 5777305777050564788314764244131406098323436325557549643204668721291524702962149269944158408188474470819 has 103 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 20:30:31 UTC 2022 年 4 月 25 日 (月) 5 時 30 分 31 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 13:58:54 UTC 2022 年 4 月 30 日 (土) 22 時 58 分 54 秒 (日本時間)

52×10228-259

c225

composite cofactor 合成数の残り
175483000084366826963637897578672066143592339492111701678899856576394161815574116257487555893022863410107145870243820129924913524002362271154981861132202817852020585505779127647009195984139036530836075255209651565004640175483<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:17:54 UTC 2023 年 7 月 15 日 (土) 0 時 17 分 54 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 08:29:14 UTC 2023 年 10 月 5 日 (木) 17 時 29 分 14 秒 (日本時間)

52×10229-259

c152

name 名前Ignacio Santos
date 日付April 24, 2022 20:29:49 UTC 2022 年 4 月 25 日 (月) 5 時 29 分 49 秒 (日本時間)
composite number 合成数
73911278293590222257493334473155356588815339879136590597926018539573560469593303597749142257383551197743958617371114718837737968389568739142115264642617<152>
prime factors 素因数
14815537847182958991939636330868157507<38>
4988767809576605128565218208880587976280416181783810085854640538317558297162891758237063337280824654847425432715731<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2222089356
Step 1 took 5953ms
Step 2 took 1625ms
********** Factor found in step 2: 14815537847182958991939636330868157507
Found prime factor of 38 digits: 14815537847182958991939636330868157507
Prime cofactor 4988767809576605128565218208880587976280416181783810085854640538317558297162891758237063337280824654847425432715731 has 115 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

52×10230-259

c217

name 名前Dmitry Domanov
date 日付July 15, 2023 22:51:02 UTC 2023 年 7 月 16 日 (日) 7 時 51 分 2 秒 (日本時間)
composite number 合成数
2368798203466517272834884406696859121816491805285807711947452906554295643543757953481205394791917407454929562047672237332286984473760649861560270245310798128739023103231327171928328116418905448769104347633794967222493<217>
prime factors 素因数
125053727702517877832970450884886153859<39>
composite cofactor 合成数の残り
18942243841794913698993300470049175489088779076513539241959087201687609283958154203381887340110276055735685518720387588577759794870146014649777279507324103893986378578949194813727<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @cba9d4b548c9 with GMP-ECM 7.0.5-dev on Fri Jul 14 22:38:20 2023 
Input number is 2368798203466517272834884406696859121816491805285807711947452906554295643543757953481205394791917407454929562047672237332286984473760649861560270245310798128739023103231327171928328116418905448769104347633794967222493 (217 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2323437690
Step 1 took 0ms
Step 2 took 5317ms
********** Factor found in step 2: 125053727702517877832970450884886153859
Found prime factor of 39 digits: 125053727702517877832970450884886153859
Composite cofactor 18942243841794913698993300470049175489088779076513539241959087201687609283958154203381887340110276055735685518720387588577759794870146014649777279507324103893986378578949194813727 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:18:02 UTC 2023 年 7 月 15 日 (土) 0 時 18 分 2 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 08:39:45 UTC 2023 年 10 月 5 日 (木) 17 時 39 分 45 秒 (日本時間)

52×10232-259

c232

composite cofactor 合成数の残り
2311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:18:10 UTC 2023 年 7 月 15 日 (土) 0 時 18 分 10 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 08:50:44 UTC 2023 年 10 月 5 日 (木) 17 時 50 分 44 秒 (日本時間)

52×10234-259

c227

composite cofactor 合成数の残り
13109123704932810100307548235320039307959527773818255197189297996278634903335559174303944448979066802953654476738329519114044580058329171974364932126030938830251085285759264594294459367732215946922519450804102618749769132890521<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:18:18 UTC 2023 年 7 月 15 日 (土) 0 時 18 分 18 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 14:09:43 UTC 2023 年 10 月 5 日 (木) 23 時 9 分 43 秒 (日本時間)

52×10236-259

c192

composite cofactor 合成数の残り
130744728869421000973193771506018585393396822612284450720286035679792211958621842839366555932383168260228274299170778680275765772848664842165928304010088711215092587666946541885752447064969677<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:19:21 UTC 2022 年 6 月 20 日 (月) 16 時 19 分 21 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 14:33:28 UTC 2023 年 10 月 5 日 (木) 23 時 33 分 28 秒 (日本時間)

52×10237-259

c234

composite cofactor 合成数の残り
142925857211571497285783000068714354428640142925857211571497285783000068714354428640142925857211571497285783000068714354428640142925857211571497285783000068714354428640142925857211571497285783000068714354428640142925857211571497285783<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:18:47 UTC 2023 年 7 月 15 日 (土) 0 時 18 分 47 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 14:33:41 UTC 2023 年 10 月 5 日 (木) 23 時 33 分 41 秒 (日本時間)

52×10240-259

c222

composite cofactor 合成数の残り
101949170382989683379047185468228762266536123662941162171766599030056296943502384115234475171577410719886752072243464709597914310547601496481416166525862342584246504300358283723469422002437656239752175598260484988995091387<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:19:07 UTC 2023 年 7 月 15 日 (土) 0 時 19 分 7 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 14:42:15 UTC 2023 年 10 月 5 日 (木) 23 時 42 分 15 秒 (日本時間)

52×10242-259

c207

name 名前Dmitry Domanov
date 日付July 14, 2023 23:04:22 UTC 2023 年 7 月 15 日 (土) 8 時 4 分 22 秒 (日本時間)
composite number 合成数
311061377910056810099072101787253678996757454587597746070167497287180317307479863650827490296127849429327544108846438302509313930042955190663885897142112008698515386709722172651361240200819244944915800889519<207>
prime factors 素因数
44401772562092483176360526889400973959<38>
7005607208024437817085447538337422676280370546041205330498160747239668614920931346740906662187857691281259174494774634672468895973605073480854854991923153118156325810841<169>
factorization results 素因数分解の結果
GPU: factor 44401772562092483176360526889400973959 found in Step 1 with curve 547 (-sigma 3:764025678)
Computing 1792 Step 1 took 215ms of CPU time / 175163ms of GPU time
Throughput: 10.230 curves per second (on average 97.75ms per Step 1)
********** Factor found in step 1: 44401772562092483176360526889400973959
Found prime factor of 38 digits: 44401772562092483176360526889400973959
Prime cofactor 7005607208024437817085447538337422676280370546041205330498160747239668614920931346740906662187857691281259174494774634672468895973605073480854854991923153118156325810841 has 169 digits
Peak memory usage: 9426MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 14, 2023 15:19:26 UTC 2023 年 7 月 15 日 (土) 0 時 19 分 26 秒 (日本時間)

52×10243-259

c223

composite cofactor 合成数の残り
2945899816498664551714261787496046939666955549092432574041342455674041197709333285547346647054146256750255266473972883706875700807592767545607348240081022881864453514213409786183075405599716325036322418542899123590972926583<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:19:43 UTC 2023 年 7 月 15 日 (土) 0 時 19 分 43 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 15:40:21 UTC 2023 年 10 月 6 日 (金) 0 時 40 分 21 秒 (日本時間)

52×10244-259

c211

composite cofactor 合成数の残り
3919277286466497528368562525385720744296691405413158538208697961345944094262536516635035409676878288046492815136945782324469697894553671560008443586819899312254030881648873099555200059625747035130474765053542827<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:20:02 UTC 2023 年 7 月 15 日 (土) 0 時 20 分 2 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 15:40:33 UTC 2023 年 10 月 6 日 (金) 0 時 40 分 33 秒 (日本時間)

52×10246-259

c227

composite cofactor 合成数の残り
71075048345449757473384967268002874420095399205613897979400784200894854563058549796757645727439421556496172746644009076415327101793869773056882944288731778919198431253816635220739021595712408662933826191477445156836336208133989<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:20:18 UTC 2023 年 7 月 15 日 (土) 0 時 20 分 18 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 16:09:17 UTC 2023 年 10 月 6 日 (金) 1 時 9 分 17 秒 (日本時間)

52×10247-259

c205

composite cofactor 合成数の残り
1465887874157575380348506204201554494071707658992267127739122434864473727675460228099821607984897934383744495028118620743290329384175542531168146797150102814828623438060731821066658444767615198187188001677<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:20:26 UTC 2023 年 7 月 15 日 (土) 0 時 20 分 26 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 16:09:38 UTC 2023 年 10 月 6 日 (金) 1 時 9 分 38 秒 (日本時間)

52×10248-259

c142

name 名前Normsn Powell
date 日付November 5, 2023 04:47:07 UTC 2023 年 11 月 5 日 (日) 13 時 47 分 7 秒 (日本時間)
composite number 合成数
1112761563140908489483208822538693307387664373924928481366067189915191668197984247855111294763794851199726936785286005556100847408102635789029<142>
prime factors 素因数
761375321212146731732008193485948456497552669884902140883706039681191<69>
1461515145210298756255605732547714564395832040222949857046011240986070419<73>
factorization results 素因数分解の結果
n: 1112761563140908489483208822538693307387664373924928481366067189915191668197984247855111294763794851199726936785286005556100847408102635789029
skew: 2208594.11
c0: 17264916295499978014339785500560800
c1: 291561036207900273713972492664
c2: -181879719209119004719784
c3: -235644533910922340
c4: 33498659379
c5: 9180
Y0: -2610428029598702661429404381
Y1: 1341450038018639
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

prp73 = 1461515145210298756255605732547714564395832040222949857046011240986070419
prp69 = 761375321212146731732008193485948456497552669884902140883706039681191

NFS elapsed time = 45998.8067 seconds.
software ソフトウェア
Yafu v2.09.
execution environment 実行環境
 Windows 10 Pro v22H2. Intel i7-12700K.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 20:07:32 UTC 2022 年 4 月 25 日 (月) 5 時 7 分 32 秒 (日本時間)
4511e64480Ignacio SantosApril 28, 2022 21:59:24 UTC 2022 年 4 月 29 日 (金) 6 時 59 分 24 秒 (日本時間)
5043e66454Ignacio SantosJune 18, 2022 19:35:15 UTC 2022 年 6 月 19 日 (日) 4 時 35 分 15 秒 (日本時間)

52×10249-259

c176

composite cofactor 合成数の残り
44053731212457884962631794425149960492826791644211499746503262496641773703467886405902301920671048679792348025556108351737676716209224422531650715256901271455247294182640803639<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:19:34 UTC 2022 年 6 月 20 日 (月) 16 時 19 分 34 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 06:34:27 UTC 2023 年 10 月 6 日 (金) 15 時 34 分 27 秒 (日本時間)

52×10250-259

c241

composite cofactor 合成数の残り
6523001454613330480975328033722683167767968679489892141502967531160958903504931207365103882246260918897215716633731828478528504401644704945399785518757200054900967185088761634099636382904534471580027005708975091500908975391809860558936293927<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:20:35 UTC 2023 年 7 月 15 日 (土) 0 時 20 分 35 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 06:56:56 UTC 2023 年 10 月 6 日 (金) 15 時 56 分 56 秒 (日本時間)

52×10251-259

c246

composite cofactor 合成数の残り
253530843611693135042960070111029444925909267649342465319296500664909015337397140220839991565223856764824545686136128998443466888018595512260288415712574032834682044287450345131049849283226862567999288163400628707736225535187765186558477254748523<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:20:44 UTC 2023 年 7 月 15 日 (土) 0 時 20 分 44 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 07:10:53 UTC 2023 年 10 月 6 日 (金) 16 時 10 分 53 秒 (日本時間)

52×10254-259

c226

composite cofactor 合成数の残り
8324771263901667819346570427726819715506437128847403486460984976416604301510043866230508992528758650049711498575271024047405119978608094594359955658760560719957856830075346945818159466563307883524757411771057745864746736801567<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 14, 2023 15:21:00 UTC 2023 年 7 月 15 日 (土) 0 時 21 分 0 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 07:15:39 UTC 2023 年 10 月 6 日 (金) 16 時 15 分 39 秒 (日本時間)

52×10256-259

c176

composite cofactor 合成数の残り
66800626926446471223399262131131076873053974521240685890911154834573286592616867900816592064686976080641084038375129620958629884839074579756282510406374871078202799207497628403<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:19:43 UTC 2022 年 6 月 20 日 (月) 16 時 19 分 43 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 07:26:36 UTC 2023 年 10 月 6 日 (金) 16 時 26 分 36 秒 (日本時間)

52×10258-259

c256

composite cofactor 合成数の残り
8559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:59:43 UTC 2022 年 6 月 16 日 (木) 21 時 59 分 43 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 07:45:24 UTC 2023 年 10 月 6 日 (金) 16 時 45 分 24 秒 (日本時間)

52×10259-259

c199

composite cofactor 合成数の残り
2337983086415467541126388748160570230996326487512144092699892899130036393011224644189890149204633076931264702783347712359521218685608222388065169683078459648647176869365747284154166026295032654237767<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:19:51 UTC 2022 年 6 月 20 日 (月) 16 時 19 分 51 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 08:05:53 UTC 2023 年 10 月 6 日 (金) 17 時 5 分 53 秒 (日本時間)

52×10262-259

c249

composite cofactor 合成数の残り
166477439188863603174265762249057200944812939767783525738581902215981157761751898370456890504849124369239296785989598107871401923709654511557330287106323028747702439260378939281378763840297385925806400237313240332475518671121831362830863482298002101<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:10:28 UTC 2023 年 7 月 17 日 (月) 17 時 10 分 28 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 08:28:09 UTC 2023 年 10 月 6 日 (金) 17 時 28 分 9 秒 (日本時間)

52×10263-259

c255

composite cofactor 合成数の残り
617586492119740365094746630851163255779523593839362148832340947554225511784795834709281892369098631119243300012730892318566397901042043889906407172143573621658812911290520580905061186921486060014365239956654810817209122425895418241909347501432555705537029<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:59:51 UTC 2022 年 6 月 16 日 (木) 21 時 59 分 51 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 08:28:23 UTC 2023 年 10 月 6 日 (金) 17 時 28 分 23 秒 (日本時間)

52×10264-259

c245

composite cofactor 合成数の残り
14873124856727083365566537682658771082622286141465717240860020081143695624641504576169528351635175496404368501231647566901192916194762933836704671176331600256693867245817699920072633806944752569710053874436506862963023273253478311763880626858757<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:10:37 UTC 2023 年 7 月 17 日 (月) 17 時 10 分 37 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 08:40:23 UTC 2023 年 10 月 6 日 (金) 17 時 40 分 23 秒 (日本時間)

52×10265-259

c187

composite cofactor 合成数の残り
5025669508198418102282830882366437822192780421640572309881209989093902838964111984373873458217187980727860405733383262732522937124291181852522715801827442229893118895187081317587447266287<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:19:59 UTC 2022 年 6 月 20 日 (月) 16 時 19 分 59 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 08:55:01 UTC 2023 年 10 月 6 日 (金) 17 時 55 分 1 秒 (日本時間)

52×10266-259

c219

composite cofactor 合成数の残り
152028972491360480859144634809837987038445972198237603028920730650979391817434360972001546952453573186973940611162024146676275679648298319293939164926860639190875226823323035603459524944876056305190495691644592346838451<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:10:49 UTC 2023 年 7 月 17 日 (月) 17 時 10 分 49 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 09:14:06 UTC 2023 年 10 月 6 日 (金) 18 時 14 分 6 秒 (日本時間)

52×10267-259

c206

composite cofactor 合成数の残り
18839765540411799553478378881165884632030326892804291242413163326059144493535684481114147225271942951581874697453738884336535712888789051015598020485290858237866539027597942443350136589133473882115316246083<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:10:58 UTC 2023 年 7 月 17 日 (月) 17 時 10 分 58 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 09:21:34 UTC 2023 年 10 月 6 日 (金) 18 時 21 分 34 秒 (日本時間)

52×10269-259

c230

composite cofactor 合成数の残り
18704617921304417228806915421485874730885283255947139446138064335941953661706622051830396249368306549271934289629604401615925768362496350568172624727299856549806344122366061797122702843496030594124615089765794426756731712113548601<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:11:06 UTC 2023 年 7 月 17 日 (月) 17 時 11 分 6 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 09:40:21 UTC 2023 年 10 月 6 日 (金) 18 時 40 分 21 秒 (日本時間)

52×10270-259

c258

composite cofactor 合成数の残り
205839560220659670429443426536355883773357136078438156868524037160963122597038424110391169176624927866894232324758435086017370324888186132169447425532354875131652857906111116162745934178282266331523366917144822942977736818071538364832280226086058525276857969<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 13:00:12 UTC 2022 年 6 月 16 日 (木) 22 時 0 分 12 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 09:46:26 UTC 2023 年 10 月 6 日 (金) 18 時 46 分 26 秒 (日本時間)

52×10272-259

c183

composite cofactor 合成数の残り
535614732519440472988206224163172454081779910635963839380128290007399389703060014605450788490882648686660722458732176470624793565173465796773958175646131085433753175651940939888936567<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 21:54:01 UTC 2022 年 4 月 25 日 (月) 6 時 54 分 1 秒 (日本時間)
4511e64480Ignacio SantosMay 1, 2022 14:20:42 UTC 2022 年 5 月 1 日 (日) 23 時 20 分 42 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 21, 2024 16:52:05 UTC 2024 年 4 月 22 日 (月) 1 時 52 分 5 秒 (日本時間)

52×10274-259

c212

composite cofactor 合成数の残り
51622828032084100654393285444230573010059935551720426726502812823748231875002097056875683506518747951567268940491009073157012840664631157098173241976659698139423805905785797201239440091179730229020658278725995251<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:11:15 UTC 2023 年 7 月 17 日 (月) 17 時 11 分 15 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 12:01:09 UTC 2023 年 10 月 6 日 (金) 21 時 1 分 9 秒 (日本時間)

52×10275-259

c274

composite cofactor 合成数の残り
2101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:03:59 UTC 2022 年 5 月 29 日 (日) 7 時 3 分 59 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 12:21:39 UTC 2023 年 10 月 6 日 (金) 21 時 21 分 39 秒 (日本時間)

52×10276-259

c256

composite cofactor 合成数の残り
3078024566932460308503345574091670964054003111430980649070578416875599701609040171532163194036785120781323520870973261861530273647519372049425297496471902269887784906959443844567899366971343001857038842469202940515129628076508214410621844331506028373425759<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 6, 2023 12:29:22 UTC 2023 年 10 月 6 日 (金) 21 時 29 分 22 秒 (日本時間)

52×10277-259

c276

composite cofactor 合成数の残り
210101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:04:07 UTC 2022 年 5 月 29 日 (日) 7 時 4 分 7 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 13:19:14 UTC 2023 年 10 月 6 日 (金) 22 時 19 分 14 秒 (日本時間)

52×10278-259

c258

composite cofactor 合成数の残り
134185790302813640191023897446013581771869346807213379781368580470504459089094129084238416258783315771468341051634751341225013792840337492934160640330836538208598223198375712770966334082417190092414265087626346853588345560968745672548777059627205144502321999<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 13:00:32 UTC 2022 年 6 月 16 日 (木) 22 時 0 分 32 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 13:19:31 UTC 2023 年 10 月 6 日 (金) 22 時 19 分 31 秒 (日本時間)

52×10279-259

c193

composite cofactor 合成数の残り
1161515885780990651846422620194020590763454663439497446023971911167017955811560768751718704154988053388580823984802995319605755710010119874114463239872399026008913345533245533985963376086891217<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 20, 2022 07:20:12 UTC 2022 年 6 月 20 日 (月) 16 時 20 分 12 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 13:19:42 UTC 2023 年 10 月 6 日 (金) 22 時 19 分 42 秒 (日本時間)

52×10280-259

c235

name 名前Dmitry Domanov
date 日付July 17, 2023 19:16:12 UTC 2023 年 7 月 18 日 (火) 4 時 16 分 12 秒 (日本時間)
composite number 合成数
1812172541574939663901361663502815396265505517810814350153305522701494040833558948982594074192179812280334515450322452412861024358805829502478360458178523575766306473979736580167391768576877099155211932253428150078244102634690673725379<235>
prime factors 素因数
9320399242636898134716140769315055337<37>
composite cofactor 合成数の残り
194430785033865726283433990654545266285286360081882900309317550105700237647096812198167843197330906678688302733224298500173845396926652788614228251472706213050486395892486242934632289885553894059467<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f2b5a21a9bfa with GMP-ECM 7.0.5-dev on Mon Jul 17 09:59:39 2023 
Input number is 1812172541574939663901361663502815396265505517810814350153305522701494040833558948982594074192179812280334515450322452412861024358805829502478360458178523575766306473979736580167391768576877099155211932253428150078244102634690673725379 (235 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2195965481
Step 1 took 0ms
Step 2 took 5963ms
********** Factor found in step 2: 9320399242636898134716140769315055337
Found prime factor of 37 digits: 9320399242636898134716140769315055337
Composite cofactor 194430785033865726283433990654545266285286360081882900309317550105700237647096812198167843197330906678688302733224298500173845396926652788614228251472706213050486395892486242934632289885553894059467 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:11:27 UTC 2023 年 7 月 17 日 (月) 17 時 11 分 27 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 13:19:53 UTC 2023 年 10 月 6 日 (金) 22 時 19 分 53 秒 (日本時間)

52×10282-259

c259

name 名前Dmitry Domanov
date 日付June 18, 2022 08:42:56 UTC 2022 年 6 月 18 日 (土) 17 時 42 分 56 秒 (日本時間)
composite number 合成数
2261967745853286544045990419139712385448739713831702646334599838922236407912486278852717390758177792923796283640229097894527641902747870971294557149091911414056504087512880033228585084408540600927453872032185349471486492409070002086242011416700079620985481697<259>
prime factors 素因数
5003852080971951121165924686237253<34>
452045286161600648543442037431728806584502738381300417289882571632476556392583548409460258266891944068803493492454240692838354478405258367733429003279951168073800928640942501827916366958249984057369349579455601395899785127149<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 15:13:12 2022 
Input number is 2261967745853286544045990419139712385448739713831702646334599838922236407912486278852717390758177792923796283640229097894527641902747870971294557149091911414056504087512880033228585084408540600927453872032185349471486492409070002086242011416700079620985481697 (259 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1819213895
Step 1 took 0ms
Step 2 took 10651ms
********** Factor found in step 2: 5003852080971951121165924686237253
Found prime factor of 34 digits: 5003852080971951121165924686237253
Prime cofactor 452045286161600648543442037431728806584502738381300417289882571632476556392583548409460258266891944068803493492454240692838354478405258367733429003279951168073800928640942501827916366958249984057369349579455601395899785127149 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 13:00:40 UTC 2022 年 6 月 16 日 (木) 22 時 0 分 40 秒 (日本時間)

52×10284-259

c247

composite cofactor 合成数の残り
6686660401091295975681530752916225326668761074651778021739094988637208371174199803288081064181631361110439717797406744596728377483522584404905723002876753655625350890753213873994833058520053354968424444288950658306350530956448113145969452714061177<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:11:36 UTC 2023 年 7 月 17 日 (月) 17 時 11 分 36 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 13:55:28 UTC 2023 年 10 月 6 日 (金) 22 時 55 分 28 秒 (日本時間)

52×10286-259

c264

name 名前Ignacio Santos
date 日付October 6, 2023 13:55:48 UTC 2023 年 10 月 6 日 (金) 22 時 55 分 48 秒 (日本時間)
composite number 合成数
104583208594430243170249252779426918272623457209660417437766640200324648191543753674176009741616661556972546404572735417068145595105433342107000327175605806237848704647115567152380789211394173307546907047754921120950032395608158886608425918774541020324243826724991<264>
prime factors 素因数
1141218594681391810653246038663652516672101<43>
91641696938550180476602461515033137205038717704375269387217406466595784639674184870848687265480070588949994159897903776932932540554220690868586867852860683011574302070198931234218708216023374288964151368630657573937583891<221>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:563893514
Step 1 took 12563ms
Step 2 took 5156ms
********** Factor found in step 2: 1141218594681391810653246038663652516672101
Found prime factor of 43 digits: 1141218594681391810653246038663652516672101
Prime cofactor 91641696938550180476602461515033137205038717704375269387217406466595784639674184870848687265480070588949994159897903776932932540554220690868586867852860683011574302070198931234218708216023374288964151368630657573937583891 has 221 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 13:00:47 UTC 2022 年 6 月 16 日 (木) 22 時 0 分 47 秒 (日本時間)

52×10287-259

c263

name 名前Dmitry Domanov
date 日付June 18, 2022 08:44:29 UTC 2022 年 6 月 18 日 (土) 17 時 44 分 29 秒 (日本時間)
composite number 合成数
54622037548079428027004483911061068646517665006421637276609404026250293049025962800360941132811120363112064188984581766745672138170622378645083788641832151664553924509054400931572753054127539631051975719131879795687162872177941974721365474942014045268813503760397<263>
prime factors 素因数
4108799518105655056381075908878365681<37>
13293916460850514180236527600237054958902108013319900880006139330490050130001403404606984229245180464541791420286253362987441938980643951493753579976292289883654141301661498049474103659946502302807859198380546812856701974774237<227>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 15:22:08 2022 
Input number is 54622037548079428027004483911061068646517665006421637276609404026250293049025962800360941132811120363112064188984581766745672138170622378645083788641832151664553924509054400931572753054127539631051975719131879795687162872177941974721365474942014045268813503760397 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2942686292
Step 1 took 0ms
Step 2 took 10110ms
********** Factor found in step 2: 4108799518105655056381075908878365681
Found prime factor of 37 digits: 4108799518105655056381075908878365681
Prime cofactor 13293916460850514180236527600237054958902108013319900880006139330490050130001403404606984229245180464541791420286253362987441938980643951493753579976292289883654141301661498049474103659946502302807859198380546812856701974774237 has 227 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 13:00:56 UTC 2022 年 6 月 16 日 (木) 22 時 0 分 56 秒 (日本時間)

52×10289-259

c234

composite cofactor 合成数の残り
102477855889095500153657197067612061173206034907437771065056281216251532946230290270548875436617284347371526412382315013511453821036339947389134970154943632244323158622467818084787176979302651279622953209360523318978525129702989836381<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:11:44 UTC 2023 年 7 月 17 日 (月) 17 時 11 分 44 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 14:07:34 UTC 2023 年 10 月 6 日 (金) 23 時 7 分 34 秒 (日本時間)

52×10291-259

c262

composite cofactor 合成数の残り
1847665064912248092214624183306005369383872747680457852072529552055096511056924119142491151544082858372993484214365774077996905030278767255993211348630485820993366562156050623304951125143760129118418276723310293055727317122914796119061469490486557154658615146377<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 13:01:06 UTC 2022 年 6 月 16 日 (木) 22 時 1 分 6 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 14:43:20 UTC 2023 年 10 月 6 日 (金) 23 時 43 分 20 秒 (日本時間)

52×10292-259

c290

composite cofactor 合成数の残り
79693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:04:14 UTC 2022 年 5 月 29 日 (日) 7 時 4 分 14 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 15:09:50 UTC 2023 年 10 月 7 日 (土) 0 時 9 分 50 秒 (日本時間)

52×10293-259

c276

composite cofactor 合成数の残り
686999141943587688282418781568362402175308372336254026629631905223100784361825908894576470115015914021023019791753408474339144124308456801802808991090699303187690187168484336894352892285644634568387574624913821366795553847073479633489100361444001263674481684343893888934333553<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:04:22 UTC 2022 年 5 月 29 日 (日) 7 時 4 分 22 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 15:32:40 UTC 2023 年 10 月 7 日 (土) 0 時 32 分 40 秒 (日本時間)

52×10295-259

c253

composite cofactor 合成数の残り
1132915409343648816283686305197272788856007918144522121487527573548742600084732943306067432405080086683379543196063875166959018854330382372562180545845831494914849155667708544913109618063588721067462903041785778831643557289930533293787364569832180022323<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 13:01:14 UTC 2022 年 6 月 16 日 (木) 22 時 1 分 14 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 15:52:53 UTC 2023 年 10 月 7 日 (土) 0 時 52 分 53 秒 (日本時間)

52×10296-259

c270

composite cofactor 合成数の残り
507283246772538418655516924800484127216224764203172605460717637126853365783463076378342334502008090057931458109721100889275256055921043572640723941353314694404974830949085555494808860861289986018860248936304991601468082492811387232728496614525096183320813472876295073991<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:04:30 UTC 2022 年 5 月 29 日 (日) 7 時 4 分 30 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 15:53:04 UTC 2023 年 10 月 7 日 (土) 0 時 53 分 4 秒 (日本時間)

52×10297-259

c269

name 名前Ignacio Santos
date 日付October 6, 2023 15:59:32 UTC 2023 年 10 月 7 日 (土) 0 時 59 分 32 秒 (日本時間)
composite number 合成数
75011971671064701135040607724792958191574051550485664938487443247506191888405908061739831794055600301716022731525809409462890328026111856816495166189374633208602772487574597164192375128161020314972123761142036225585024348323074894295669689973973657841833358811016291593<269>
prime factors 素因数
383484512102866870963068020198358493<36>
195606261279577562434714792773635341541624381801210934711778854680780410067362040636877259269389228325066181729597060350359917535097807350128993277311913753700781055753349877455933850782054958629105640859476522911299707581777102716701<234>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4208104513
Step 1 took 12469ms
Step 2 took 5344ms
********** Factor found in step 2: 383484512102866870963068020198358493
Found prime factor of 36 digits: 383484512102866870963068020198358493
Prime cofactor 195606261279577562434714792773635341541624381801210934711778854680780410067362040636877259269389228325066181729597060350359917535097807350128993277311913753700781055753349877455933850782054958629105640859476522911299707581777102716701 has 234 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 13:01:23 UTC 2022 年 6 月 16 日 (木) 22 時 1 分 23 秒 (日本時間)

52×10298-259

c249

composite cofactor 合成数の残り
434830347963932923456707515941149944636505879202354456036579580584848695056594478709114148260137839567511181901369390604125068651867898728450825825567955629184141669817994585015452443996366432182233710004501229970211636024190426321326602499590296821<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 17, 2023 08:10:14 UTC 2023 年 7 月 17 日 (月) 17 時 10 分 14 秒 (日本時間)
2350Ignacio SantosOctober 6, 2023 16:33:21 UTC 2023 年 10 月 7 日 (土) 1 時 33 分 21 秒 (日本時間)

52×10299-259

c292

composite cofactor 合成数の残り
1414222595957739792438765062482020080451451944604003428918666841459140209366544474434802369973263917849006050703782775518047244703092158950923151137336509323728205427472202689972402329929007181537927774033827429392540197458518250586795290755700790776842738671701353501452987933125302549297369<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:04:37 UTC 2022 年 5 月 29 日 (日) 7 時 4 分 37 秒 (日本時間)
2350Ignacio SantosOctober 27, 2023 16:11:40 UTC 2023 年 10 月 28 日 (土) 1 時 11 分 40 秒 (日本時間)

52×10300-259

c233

composite cofactor 合成数の残り
38995075809542136416481588414243285906806271642783104060754121369499100583162029146112685898492003654538918065521261681400290004174141662158340679547427189364860887710461643147965568687556950203460429428542703790416506488893030163837<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 24, 2022 16:30:31 UTC 2022 年 4 月 25 日 (月) 1 時 30 分 31 秒 (日本時間)
4511e63584Dmitry DomanovApril 28, 2022 23:12:27 UTC 2022 年 4 月 29 日 (金) 8 時 12 分 27 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovApril 28, 2022 23:12:27 UTC 2022 年 4 月 29 日 (金) 8 時 12 分 27 秒 (日本時間)